The function is
y = 4x - 9
The slope of the function is 4 and the y- intercept is -9.
For x= 3, y = 3
What is Functions ?Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.
A function is a procedure or a relation that links each element of a non-empty set A, at least one element of another non-empty set B, to another element of the first non-empty set A. In mathematics, a relation f between two sets, A and B, is referred to as the function's domain and co-domain.
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.
The function is
y = 4x - 9
here the slope of the function is 4 and the y- intercept is -9
So, the line intersect the y-axis in (0,-9) and x axis at (0,9/4)
The missing value when x = 3
y = 4*3 - 9 = 3
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Lindsey went skydiving. When she jumped out of the plane, its elevation was 13,000 feet. She was in free-fall for 10,000 feet, and then she deployed her parachute. At what elevation did Lindsey deploy her parachute?
Answer:
3,000ft
Step-by-step explanation:
First set up the equation:
Start: 13,000 ft
Middle: 10,000 ft
End: ??
Lindsey started at 13,000ft, dropped 10,000ft, and then the remainder of it is what we are asked to find out. So all we have to do is 13,000 - 10,000 which equals 3,000.
Solve this system of equations by graphing. Graph the equations, then find the solution.
A. y = x + 1
B. y = -¾ x - 6
The solution to the system is: (-4, -3).
How to Solve a System of equations by Graphing?To solve a system of equations by graphing, you will need to:
Graph each equation on the same coordinate plane by plotting points that satisfy the equation and connecting them with a line.Look for the point of intersection between the two lines, which represents the solution of the system of equations.If the lines do not intersect, the system has no solution. If the lines are coincident, the system has infinitely many solutions.Once you find the point of intersection, you can substitute the x and y values back into the original equations to check that the solution is correct.Given the system of equations:
A. y = x + 1
B. y = -¾x - 6
Equation A is the red line on the image below while B is represented as the blue line. Both intersect each other at (-4, -3).
Therefore, the solution is; (-4, -3).
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A paint mixer wants to mix paint that is 40% gloss with paint that is 25% gloss to make 5. 25 gallons of paint that is 30% gloss. How many gallons of each paint should the paint mixer mix together?.
It needs 1 [tex]\frac{3}{4}[/tex]gallons of 40% gloss and 3 [tex]\frac{1}{2}[/tex] gloss gallons of 25% gloss.
System of equations is a set or collection of equations that are dealt together. These equations can be solved graphically and algebraically. The point where two lines intersect is the solution to the system of equations. This article elaborates on Algebraic Technique To Solve System Of Equations.A linear equation is the one which has one or more variables and when plotted gives a straight line. Two or more linear equations consisting of two or more variables such that all equations are considered at the same time is called the system of linear equations.
Asume it needs x gallons of 40% gloss and y gallons of 25% glass
x+y=5.25
40% X+25% y = 30%×5.25
So x+y=5.25 ----------(i)
0.4x+0.25y = 15.75----------(ii)
(ii)*4 - (i)
4*(0.4x+0.25) - (x+y)=15.75*4 - 5.25
0.6x=1.05 (elimination y)
x=1.75=1 [tex]\frac{3}{4}[/tex] So
y=5.25-X=3.5 = 3 [tex]\frac{1}{2}[/tex]
So,it needs 1 [tex]\frac{3}{4}[/tex] gallons of 40% gloss and 3 [tex]\frac{1}{2}[/tex] glass gallons of 25% gloss.
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To mix paint that is 40% gloss with paint that is 25% gloss to make 5.25 gallons of paint that is 30% gloss, the paint mixer should mix 1.75 gallons of paint that is 40% gloss with 3.5 gallons of paint that is 25% gloss.
Let x be the number of gallons of paint that is 40% gloss and y be the number of gallons of paint that is 25% gloss. To mix paint that is 40% gloss with paint that is 25% gloss to make 5.25 gallons of paint that is 30% gloss, we can set up the following system of equations:
0.40x + 0.25y = 0.30 × 5.25
x + y = 5.25
To solve this system of equations, we can first multiply the second equation by 0.4 to eliminate the x term, and then we can subtract the first equation from the resulting equation to solve for y:
0.4x + 0.25y = 0.3×5.25
0.4x + 0.4y = 0.4×5.25
0.15y = 0.1×5.25 = 0.525
y = 0.525/ 0.15
y = 3.5
Then we can substitute this value of y back into one of the original equations to solve for x:
x = 5.25 - y
x = 5.25 - 3.5
x = 1.75
Therefore, the paint mixer should mix 1.75 gallons of paint that is 40% gloss with 3.5 gallons of paint that is 25% gloss to make 5.25 gallons of paint that is 30% gloss.
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What are all the real zeros of the
function
y = −3(x + 1)³ + 9?
Answer:
∛3 - 1 which is 0.44 to the nearest hundredth.
Step-by-step explanation:
−3(x + 1)³ + 9 = 0
(x + 1)³ = -9/-3
(x + 1)³ = 3
x + 1 = ∛3
x = ∛3 - 1
= 0.44225
The cube root of 3 is positive, no negative real roots are possible.
Geometry please help fast
Select all pairs that are like terms.
1.) -4n and 18n
2.) 15ab and 2ab
3.) 17f and 17
4.) 3w and 3y
5.) 14h and -3h
6.) 5w and 5w²
All the pairs that are like terms are given as follows:
1.) -4n and 18n
2.) 15ab and 2ab
5.) 14h and -3h
What are like terms?Like terms are terms that share these two features:
Same letters. (algebraic variables).Same exponents.If two terms are like terms, then they can be either added or subtracted.
The like terms for this problem are given as follows:
1.) -4n and 18n -> algebraic variable of n, exponent of 1.
2.) 15ab and 2ab -> algebraic variable of ab, exponent of 1.
5.) 14h and -3h -> algebraic variable of h, exponent of 1.
For example, the pair in item 3 is of terms that are not like terms, as they have different algebraic variables, f and 1.
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Drag each tile to the correct box. Not all tiles will be used.
Consider the following function.
Place the steps for finding f-¹(x) in the correct order.
f(x) = 4x + 7
Answer:
P.E.M.D.A.S
(PARENTHESIS .1
(EXPONETS .2
(MULTIPLICATION .3
(DIVISION .4
(ADDITION .5
(SUBTRACT .6
Step-by-step explanation:
Help it is due tomorrow
Answer:
The dependent variable is n (outs). The number of outs depends on the number of innings.
What is the result when the number 63 is increased by 1.3%
Answer:
63.819
Step-by-step explanation:
1.3% = 1.3/100 = 0.013
Then;
63 + 63*0.013 = 63 + 0.819
= 63.819
Solve for x: 2 4
— = —
5 x
Therefore ,we can state that after resolving the given problem of equation, x = 3 .
What is an equation?A mathematical formula known as an equation combines two assertions using the equal sign (=) to denote equivalence. An equation is an empirical statement that proves the equality among two mathematical expressions, according to the definition of an explanation in algebra. The variables 69x + 7 and 14 are divided by an equation in the solution 56 + 5 = 14, as example. Mathematical equations are used to express the relationship between two words from either end of a letter. In most cases, the symbol serves as the sole variable. a good example
is 2x - 4 = 2.
Here,
At this location, we have
=> x + 2 = 5
=> x = 3
now,
=> 5x= 15
=> x = 15/5
=>x =3
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The question is "Solve for x for the equations x+ 2 = 5 and 5x =15"
Does someone mind helping me with this problem? Thank you!
Answer: ( 1, -2)
Step-by-step explanation: first number the equation as 1 and 2.
After that multiply 4 in equation 2 , then add both the equation
you will get x=1, y=-2,
answer = (1,-2)
For questions 9-12, use the ellipse having foci located at (3,1) and (7,1), and a major axis length of 10.
9. what are the coordinates of the vertices.
10. What is the length of the minor axis.
11. find the eccentricity of the ellipse.
12. draw a sketch of the ellipse. PLEASE HELP AND SHOW WORK!
Answer:
[tex]\textsf{9.} \quad \textsf{Vertices}:\;\;(0, 1) \;\; \textsf{and} \;\; (10, 1)[/tex]
[tex]\textsf{10.} \quad \textsf{Minor axis}:\;\;2\sqrt{21}[/tex]
[tex]\textsf{11.} \quad \textsf{Eccentricity}:\;\;\dfrac{2}{5}[/tex]
[tex]\textsf{12.} \quad \sf See\;attachment[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{9.2 cm}\underline{General equation of an ellipse}\\\\$\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1$\\\\where:\\\phantom{ww}$\bullet$ $(h,k)$ is the center\\ \phantom{ww}$\bullet$ $(h\pm a,k)$ or $(h,k\pm b)$ are the vertices\\ \phantom{ww}$\bullet$ $(h\pm c,k)$ or $(h,k\pm c)$ are the foci where $c^2=a^2-b^2$\\\end{minipage}}[/tex]
Given:
Foci: (3, 1) and (7, 1)Major axis: 10The center of an ellipse is the midpoint of the foci.
Therefore, the center (h, k) of the ellipse is (5, 1), so:
h = 5k = 1The foci are on the major axis of an ellipse.
Given that the y-values of the given foci are the same, the ellipse is horizontal.
The foci of a horizontal ellipse are (h±c, k)
[tex]\implies 5-c=3 \implies c=2[/tex]
[tex]\implies 5+c=7 \implies c=2[/tex]
The major axis of a horizontal ellipse is 2a.
If the major axis is 10, then a = 5.
The vertices of a horizontal ellipse are (h±a, k).
Therefore the coordinates of the vertices are:
(5-5, 1) = (0, 1)(5+5, 1) = (10, 1)The minor axis of a horizontal ellipse is 2b.
As c² = a² - b² then b = √(a² - c²).
[tex]\implies b=\sqrt{5^2-2^2}=\sqrt{21}[/tex]
Therefore, the minor axis is 2√(21).
The eccentricity of the ellipse is:
[tex]\implies e=\dfrac{c}{a}=\dfrac{2}{5}[/tex]
Bounce Club surveyed a random sample of 555555 of their members about their favorite type of music. Of the members surveyed, 222222 said that jazz is their favorite type of music. There are 422422422 Bounce Club members. Based on the data, what is the most reasonable estimate for the number of Bounce Club members whose favorite type of music is jazz music
This is calculated by multiplying the proportion of members who said jazz is their favorite type of music (222222/555555) by the total cost number of Bounce Club members (422422422).
1. Calculate the proportion of members who said jazz is their favorite type of music:
222222/555555
= 0.4
2. Multiply the proportion (0.4) by the total number of Bounce Club members (422422422):
0.4 x 422422422
= 400,000
The survey asked 555555 members of the Bounce Club about their favorite type of music and 222222 said that jazz was their favorite type of music the proportion of members who said jazz is their favorite type of music (222222/555555) was multiplied by the total number of Bounce Club members (422422422). This calculation resulted in a most reasonable estimate of 400,000 members whose favorite type of music is jazz.
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Adding and Subtracting Polynomials terms. Giving out brainlest.
The terms related to the definition are given below.
What is Polynomial?Polynomials are expressions of the form,
a₀ + a₁ x + a₂ x² + ................. + aₙ₋₁ xⁿ⁻1 + aₙ xⁿ
where a's are the coefficients, x is the variable and n is the number of terms.
1. A term or a sum or difference of terms is AB) Polynomial
2. A polynomial that contains one term is E) Monomial
3. The number factor of a term that contains a variable is B) Coefficient
4. A polynomial written in descending order is D) Descending order.
5. A number, a variable or a product of numbers and variables is AD) Term.
6. A polynomial that contains two terms added or subtracted is A) Binomial.
7. A term that contains a number only is C) Constant
8. A polynomial that contains three terms added or subtracted is AE) Trinomial.
9. The arrangement of the terms of a polynomial in one variable in decreasing powers of the variable is AC) Standard form of a polynomial.
10. A symbol, usually a letter of the alphabet, that can be used to represent any number is BC) Variable.
Hence the terms related to the definitions are matched.
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frank can mow his own yard in $45$ minutes. joe's yard is $40\%$ larger than frank's, but joe can mow his own yard in an hour. how long would it take them, working together, to mow both yards? express your answer as mm:ss, where mm is the number of minutes and ss is the number of seconds, rounded to the nearest whole number, it would take them.
Working together, Frank and Joe could mow both of their yards in a fraction of the time it would take them individually.
Frank can mow his own yard in 45 minutes.
Joe's yard is 40% larger than Frank's.
Therefore, Joe's yard would take 56 minutes (45 x 1.4) to mow.
The combined time for both yards would be 101 minutes (45 + 56).
This can be expressed as 01:15 (1 minute and 15 seconds).
Frank can mow his own yard in 45 minutes. Joe's yard is 40% larger than Frank's, so it would take Joe 56 minutes to mow his yard. If Frank and Joe worked together, it would take them a combined 101 minutes (45 + 56) to mow both yards. This can be expressed as 01:15 (1 minute and 15 seconds). This is the time it would take them to mow both yards, rounded to the nearest whole number. Working together, Frank and Joe could mow both of their yards in a fraction of the time it would take them individually.
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The drawing plan for an art studio shows a rectangle that is 11.2 inches by 8 inches. The scale in the plan is 4 in.: 5 ft. Find the length and width of the actual studio. Then find the area of the actual studio.
The length is ________ feet, the width is _____ feet, and the area is _______ square feet.
The length is 14 ft, the width is 10 ft, and the area of the rectangle is 140 square feet.
What is area?The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.
Given that the scale of the plan is:
Scale = 4 in: 5 ft = [tex]\frac{5ft}{4in}[/tex]
Multiply the length of the studio with the given scale:
[tex]l= 11.2\cancel{\text{ in}} (\frac{5\text{ ft}}{4 \text{ in}}) \\\\l = 14 ft[/tex]
Multiply the width of the studio with the given scale:
[tex]w= 8\cancel{\text{ in}} (\frac{5\text{ ft}}{4 \text{ in}}) \\\\w = 10 ft[/tex]
The area of the rectangle is given by the formula:
[tex]A= l * b[/tex]
Substitute the value of l = 14 and w = 10:
[tex]A= (14)(10)\\\\\\A= 140 ft^2[/tex]
Hence, the length is 14 ft, the width is 10 ft, and the area is 140 square feet.
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HELP ME PLEASE!!! WORTH 10 POINTS!!
drag and drop each expression to correctly classify it as having a positive or negative product ( just put the ones in a positive group in that group and sam for the other one)
(5/6)(5/6) (-5/6)(5/6)
(5/6)(-5/6) (-5/6)(-5/6)
Answer:
Step-by-step explanation:
(5/6)(5/6) (-5/6)(5/6)
(5/6)(-5/6) (-5/6)(-5/6) they are they same but you can also change them and they will still be the same just backwords
Hope that helps
mr. muckle bought a new tv. the screen on his old TV measured 15 by 20 in, but the screen on his new TV measures 18 by 32 in. what is the persent of increase in the area of Mr.Muckle'a screen
Answer:
the answer is an increase by 28% sorry if i am incorrect
I need help finding the domain and range of a parabola. The vertex is (-2,1).
Qualitative researchers focus intensive data collection on a small sample of participants in order to establish a wealth of data. What is a typical sample size for a qualitative study
Need to ensure there is enough, but not too much, data One review identified that samples of 20 and 30 were the most common with 25-30 being a typical recommendation.
Sampling means selecting the group that you will actually collect data from in your research.
Characteristics of Qualitative research and sample size:
no explicit, formal criteria, and sample size determined by informational needs.decisions to stop sampling guided by data saturation which to stop sampling if the reachdata quality can affect sample size, if have people that aren't good, need a larger sample size, ongoing analysis guiding design decisionsno predominant hypothesis, no theory trying to follow, doing more exploration and looking for the things that have to start understanding.To know more about Qualitative researchers and sample size:
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In 25 words or fewer, describe one thing the Fed can do to help
businesses.
A standard baseball diamond is a square 90 feet on each side. Find the distance of a throw made from the catcher 3 feet behind home plate in an attempt to throw out a runner trying to steal second base. Round to the nearest whole number.
Answer:
130 fr
Step-by-step explanation:
Distance (d) from home plate to second base:
d² = 90² + 90² = 16200
d = [tex]\sqrt{16200}[/tex] = 127.28 ≅ 127
Now add the 3 ft behind home plate:
127 + 3 = 130 ft
Mariella compared 9 brands of ice cream and found that the average price of the 9 brands is equal to 254 as she was going to another store she found two other brands that cost 282 and 292 respectively.What will be the resulting average?
260
An average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.
how to calculate the average(avg) = sum of all terms/number of terms.
According to the question:
Mariella had compared 9 brands later on she wanted to even compare the other 2 brands so the average has to be calculated to 11 brands (9+2).
We can formulate it as (292 +282+ 9*254)/11
As we simplify the question we equate it as:
(292 +282 +2286)/11
2860/11 = 260
hence, the average is 260.
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Is it necessary to
ename 4 to subtract ? Explain.
Yes, It is necessary to rename 4(1/4) to 3(2/4) when 3/4 is subtracted with 4(1/4).
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
4(1/4) - 3/4
= 17/4 - 3/4
= (17 - 3) / 4
= 14 / 4
= 3(2/4) or 3(1/2)
Thus,
We can rename 4(1/4) to 3(2/4).
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The complete question:
Explain Why It Is Necessary To Rename 4 1/4 If You Subtract 3/4 From It?
Roberta cites the following statement as evidence for a claim. "the chicken genome has about 17,000 genes, and the grape has about 30,000 genes. " which claim about human genes would be most strongly supported by this statement?.
The assertion that there aren't many extra genes in humans compared to other organisms would be the one this statement would most strongly support.
Genes are stretches of DNA that aid in the precise determination of each trait. The primary biological factor transmitted from parent to child. Genes are composed of DNA sequences and are organised sequentially at specified sites on chromosomes in the cell nucleus.
The human genome project estimates that we contain between 20,000 and 25,000 genes. Daphnia, a microscopic eating flea, contains 31,000 genes, the most of any animal.
Therefore, the claim that there are not particularly many genes in humans compared to other organisms would be most strongly supported by this statement.
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The claim that humans have more number of genes than chickens and grapes
The statement provided by Roberta states that the chicken genome has about 17,000 genes, and the grape has about 30,000 genes. This statement indicates that grapes have more genes than chickens. Therefore, it can be inferred that humans have more genes than chickens and grapes, as humans typically have more complex genomes than other species.
Roberta cites the following statement as evidence for a claim. "the chicken genome has about 17,000 genes, and the grape has about 30,000 genes. " From this statement, it can be inferred that humans have more genes than chickens and grapes. This is because humans typically have more complex genomes than other species, and the statement provided suggests that grapes have more genes than chickens. Therefore, the claim that humans have more number of genes than chickens and grapes would be most strongly supported by this statement.
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Look at picture 30 points
Answer:
It's a IQ based question
if you focus you'll see first is 1 then 3, 6,9
difference is increasing 2, 3, 4 then next one will be 5. it's quite simple
Given the figure below, find the values of x and z.
►
75°
(8x+19)
Please help I’m really stressing
Using the concept of angle in a straight line and the vertically opposite angles, The answer is x= [tex]7^o[/tex] and z =[tex]105^o[/tex].
What is an angle?An angle is a measure of the amount of rotation between two lines or planes. It is typically measured in degrees or radians. An angle can be defined as the amount of rotation needed to bring one line or plane into coincidence with another. Angles are often represented graphically as a central point, called the vertex, and two rays that extend from the vertex in different directions. The angle is the amount of rotation needed to rotate one ray so that it coincides with the other ray.
What is vertically opposite angle and angle in a straight line?Vertically opposite angles are a pair of angles that are opposite each other and have the same vertex, with the rays of the angles extending in opposite directions. They are formed when two lines intersect at a right angle. For example, in the letter "L" shape, the angles in the corner of the "L" shape are vertically opposite angles. They are congruent angles and supplementary angles, meaning they add up to 180 degrees.
An angle in a straight line is when two lines are in the same straight line and forms an angle of 180 degree. It is also called a straight angle. A straight angle is formed when a line is bent so that its two endpoints are in the same location, creating an angle of 180 degrees. The rays of the angle are in the opposite direction, hence it is also known as straight angle.
75 = 8x+19 (Vertically opposite angles)
75-19 = 8x
x=56/8 = [tex]7^o[/tex].
75+z =180 (Angle in a straight line)
z=180-75 = [tex]105^o[/tex].
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(√a + √8a)² = 54+b√2
a and b are positive integers. Find the value of a and the value of b.
The value of a is 6 and value of b is 24 for (√a + √8a)² = 54+b√2
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is (√a + √8 a)² = 54+b√2
Using algebraic identity (a+b) ²= a² + b ²+ 2ab
(√a )²+ ( √8 a )²+ 2×√a×√8a = 54 + b√2
a + 8 a + 2 ×√8 × √a x√a = 54 + b√2
a + 8a + 2×2√2 ×a = 54 + b √2
9a + 4a√2. = 54 + b√2
comparing above equations
9a = 54
a = 54/9
a = 6
4a = b
substituting a = 6
4×6 = b
b = 24
Hence, the value of a is 6 and value of b is 24.
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convert 180 grams to ounces
I need help please
[tex]18+2y=34\\-18 -18\\__0______\\[/tex]
I need help with the rest
Answer:
y = 8
Step-by-step explanation:
18 + 2y = 34 Subtract 18 from both sides
18 - 18 + 2y = 34 - 18
2y = 16 Divide both sides by 2
[tex]\frac{2y}{2}[/tex] = [tex]\frac{16}{2}[/tex]
y = 8
Check:
18 + 2y = 34
18 + 2(8) = 34
18 + 16 = 34
34 = 34
