Answer:
[tex]8\sqrt{5x}[/tex]
Step-by-step explanation:
I'm assuming the "x" is also under the square root, making the equation:
[tex]9\sqrt{5x} - \sqrt{5x}[/tex]
This may look difficult to simplify at first, but this is really a matter of subtracting coefficients. It may help to explicitly write the coefficient of the square root, which is one.
[tex]9\sqrt{5x} - 1\sqrt{5x}[/tex]
This can be thought of as having 9 of something, and taking away 1 of that thing, this logically means you have 8 left. In this case, that "thing" is the: [tex]\sqrt{5x}[/tex], so we have 8 of this, or in other words: [tex]8\sqrt{5x}[/tex] which is our answer! Note: It also may help to think of the equation as: [tex]9x-x[/tex] which you may be more used to, making it easier to remember just to subtract coefficients, except in this case, [tex]x=\sqrt{5x}[/tex]
Another way to think of this problem, which will lead to the same step of subtracting one from nine, is factoring. Starting with the equation:
[tex]9\sqrt{5x} - 1\sqrt{5x}[/tex]
We can factor out the [tex]\sqrt{5x}[/tex] which leads to the equation:
[tex]\sqrt{5x}(9-1)[/tex]
now just simplify that 9-1, and you get:
[tex]8\sqrt{5x}[/tex]
What’s the correct answer asap for brainlist
Answer:
(A)
Step-by-step explanation:
SOS: Here is The correct answer, Brainly would not allow me to type it, so I took a screenshot instead. Hope this helps!! :D
whats 207 times 7 equal
Answer:
1,449
Step-by-step explanation:
Answer:
1449
Step-by-step explanation:
when you multiply equations like this you have to cross multiply. you go from right to left.
7x7=49
you would carry your 4 over the 0.
7x0=0 plus the 4 you carried so 4.
last you would do 7x2=14
your answer is 1,449
The temperature in Abu Dhabi is 28°C. The temperature in Moscow is 16°C colder. What is the temperature in Moscow?
Plsssss help me I need this
A paper company needs to ship paper to a large printing buisiness. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 30 pounds and each large box of paper weighs 75 pounds. A total of 18 boxes of paper were shipped weighing 900 pounds altogether. Graphically solve a system of equations in order to determine the number of small boxes shipped, x, and the number of large boxes shipped, y.
The paper company shipped 10 small boxes and 8 large boxes.
How to solve an equationAn equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of small boxes shipped and y represent the number of large boxes shipped.
Each small box of paper weighs 30 pounds and each large box of paper weighs 75 pounds.
A total of 18 boxes of paper were shipped, hence:
x + y = 18
y = 18 - x (1)
Also, they weighed 900 pounds, hence:
30x + 75y = 900
but y = 18 - x, hence:
30x + 75(18 - x) = 900
30x - 75x + 1350 = 900
x = 10
y = 18 - x = 18 - 10 = 8
The company had 10 small boxes and 8 large boxes.
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Can you solve it to me?
Therefore , When the side lengths are (2x-1) and (4x + 5), the smartboard's perimeter is expression is as 12x2 - 8.
what is expression ?In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted.
Here,
Given :
smartboard of side length is ( 2x-1) and ( 4x + 5 )
perimeter of small board = 2( l+ b)
2( 2x-1 + 4x + 5 )
2( 6x - 4)
When the side lengths are (2x-1) and (4x + 5), the smartboard's perimeter is expressed as 12x2 - 8.
The diagram can be imagined as a big whiteboard of shape of rectangle.
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Graph the line with slope 1 passing through the point (5, 3)
The line with slope 1 passing through the point (5, 3) is y = x - 2.
What is slope of a line?A number that describes a line's direction and steepness is known as the slope or gradient of a line in mathematics.
The letter m is frequently used to represent slope; the reason for this is unclear, but it is first used in English by O'Brien in 1844, who wrote the equation for a straight line as "y = mx + b," and by Todhunter in 1888,
who wrote it as
y = mx + c
To Graph the line with slope 1 passing through the point (5, 3) we need to find the slope intercept form
The slope formula = y - y₁ = m(x -x₁)
⇒ y - 3 = 1(x -5)
⇒ y = x -5 + 3
⇒ y = x - 2
Now putting the value on graph we get [See attachment]
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Translate each sentence into a formula.
The area A of a squarc is the length of a side e squared.
[tex]A=e^2[/tex], where e is the side length of the square and A is the area of the square.
David baked two kinds of pasta in pans. Each pan was the same size. One pan was sliced into 8 equal pieces and the other was sliced into 6 equal pieces. If he wanted to have the same number of pieces in each pan, how many pieces would there be in each pan?
Answer: LCM(6,8)
Step-by-step explanation: Each of six slices of the first pasta has the area 1%2F6 of the entire pan.
Each of eight slices of the second pasta has the area 1%2F8 of the original pan.
David will cut each 1%2F6 in 4 equal pieces to get 1%2F24.
he also will cut each 1%2F8 in 3 equal pieces to get 1%2F24.
Then he will meet his goal.
Notice that the number 24 is the Less Common Multiple of the numbers 6 and 8: 24 = LCM(6,8).
Answer:
There would be six pieces in each pan.
Step-by-step explanation:
1. To make the number of pieces in each pan equal, the total number must be the same.
2. 8 pieces from the first pan + 6 pieces from the second pan = 14 pieces.
3. Divide 14 by 2 to get the same number of pieces in each pan:
14/2 = 7
4. Round down 7 to get six pieces in each pan.
explicit formula of the arithmetic sequence
2,-2,-6,-10,
The formula for the arithmetic sequence is aₙ = 2 + (n - 1)(-4)
What is an equation?An equation is an expression composed of variables and numbers linked together by mathematical operations.
The arithmetic sequence is a sequence in which the difference between successive numbers is constant. It is given by:
aₙ = a₁ + (n - 1)d
where a₁ is the first term and d is the common difference
Given the sequence:
2,-2,-6,-10
The first term (a₁) = 2, the common difference (d) = -2 - 2 = -4
The formula is:
aₙ = 2 + (n - 1)(-4)
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Brooklyn has p pennies and n nickels. She has a minimum of 17 coins altogether. Write this situation as an inequality.
The correct expression to represent this situation through inequality is "p + n ≥ 17"
What are inequalities?In mathematics, inequalities are mathematical expressions that compare two values without using the symbol = (equal). Instead, in inequalities, one value is greater than, less than, etc. Due to this, the most common symbols used to write an inequality are:
< = This means less than
> = This means greater than
≥ = This means equal or greater than
≤ = This means equal or less than
How to write an inequality in this case?Considering, the amoung of pennies and nickels is minimum 17, the correct symbol to use is ≥, which means the amoung of coins is either 17 or more than 70. Moreover, the letters p and n can be used to represent the pennies and nickels. Based on this, the correct expression is:
p + n ≥ 17
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He Want to save money to purchase a car he buys in a annuity with quarterly payments that are in 2.5 % interest compounded quarterly payment will be made at the end of each quarter find the total value of annuity in 3 years if each quarterly payment is $ 1508
98,329.16 is the Growing Ordinary Annuity's Future Value (FV). Given a predetermined rate of return or discount rate, the present value of an annuity is the entire cash worth of all of your future annuity payments.
What is annuity and how it is calculated?A sequence of equal-spaced payments constitutes an annuity. There are a lot of real-world examples of financial transactions involving annuities, including. • an automobile loan with a set repayment schedule of equal monthly payments.
Calculating the present value of an annuity is done by multiplying the dollar amount of each payment by the following formula:[tex]P = PMT \times [1- [ (1 / 1+r)^n] / r][/tex] where P is the present value of your annuity stream. PMT is short for payment method type.
A set of periodic payments that will be received in the future at the start of each period or at its conclusion is referred to as a "annuity." The formula used to determine annuity payments and annuities due is based on the PV of annuities due, the effective interest rate, and the number of periods.
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i need helppppppppppp
Answer:
3π/2 radians
Step-by-step explanation:
Its 3 quadrants. That's 3/4 of 2π radians, or 3π/2 radians.
f(x) = 4x² + 9x +9
Find f(-1)
Answer:
4
Step-by-step explanation:
To find f(-1), we can plug -1 into the equation in place of x and simplify:
f(-1) = 4(-1)² + 9(-1) + 9
f(-1) = 4 + (-9) + 9
f(-1) = 4 - 9 + 9
f(-1) = 4 - 0
f(-1) = 4
Therefore, f(-1) = 4.
PLEASE HELP!!!
State the congruence that is needed to prove A ABC A DEF
using the given postulate or theorem.
D
C
E
9. Given: BC = EF, Use the Hypotenuse-Leg Congruence Theorem.
10. Given: AB = DE, AC DF, Use the SSS Congruence Postulate.
11. Given: ZA ZD, ZB = LE; Use the AAS Congruence Theorem.
12. Given: ZA = ZD, 2C= LF Use the ASA Congruence Postulate.
B
F
According to this postulate, two triangles are congruent if their two angles and included sides are congruent with each other.
What do you meant by Congruence Postulate?If the sides and angles of one triangle are the same as the sides and angles of another triangle, then two or more triangles are said to be congruent. Three postulates—ASA (angle-side-angle), SAS (side-angle-side), and SSS—that are demonstrated in the lesson can also be used to assess for congruency.
If, for example, triangle ABC has a hypotenuse of 5 cm and a leg of 4 cm and triangle PQR has a hypotenuse of 5 cm and a leg of 4 cm, then these two triangles have the same dimensions and, according to the HL theorem, are congruent to one another.
Triangle congruence can be implied in some situations by SSA, but not always. It differs from the other triangle congruence postulates/criteria because of this.
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Question 14
This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Brad needs to rent scaffolding to paint a 2 -story room. Handy Rentals charges $15 plus $12.50 per hour. The EZ Rental Company charges $7.50 plus $13.75 per hour. For how many hours would Brad need to rent the scaffolding for the cost to be the same from each rental company?
Let h represent the number of hours. Select the correct values to write an equation to represent the situation.
Brad needs to rent the scaffolding for 6 hours for the cost to be the same from each rental company.
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.
Handy Rentals
C = $15 + $12.50h ---------- 1
EZ Rental Company
$7.50 + $13.75h ------------ 2
where h is number of hours
Equating both equations
$15 + $12.50h = $7.50 + $13.75h
$15 - $7.50 = $13.75h - $12.50h
$7.5 = $1.25h
h = $7.5/$1.25
h = 6 hours
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For the function f(x) shown below, find the definite integral
⁶∫⁰ f(x)dx
The integral of f(x) on the interval [0, 6] is equal to 8.
How to determine the integral on the desired range?Here we have the graph of f(x), and we want to find the integral:
[tex]\int\limits^6_0 {f(x)} \, dx[/tex]
Remember that the integral is the area under the curve, so we only need to find the areas of the "blocks" on the image.
Betwen 0 and 2 we can see that f(x) = 2, there the area is:
A = 2*(2 - 0) = 4
Between 2 and 4 we have f(x) = -3, then:
A' = -3*(4 - 2) = -3*2 = -6
And between 4 and 6 we have f(x) = 5, then:
A'' = 5*(6 -4) = 5*2 = 10
Then the integral is:
[tex]\int\limits^6_0 {f(x)} \, dx = 4 - 6 + 10 = 8[/tex]
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rewrite 3 to the power of -7 using a positive exponant
Answer: 1/7^3
Step-by-step explanation:
When dealing with negative integers, you divide instead of multiplying and you write it as a fraction. Therefore, 1/7 to the 3rd power is the same as 3 to the power of -7. Hope this helps!
An investment portfolio is shown below.
Investment Amount Invested ROR
Savings Account $2,700 3.6%
Municipal Bond $3,600 1.8%
Preferred Stock $765 13.6%
Common Stock A $1,155 −1.2%
Using technology, calculate the weighted dollar amount of the savings account.
$64.80
$97.20
$104.04
$108.96
Answer:
Sure, here is a more casual and friendly way to explain how to calculate the weighted dollar amount of the savings account:
"Hey there! To find out the weighted dollar amount of the savings account, you just need to do a little math. First, multiply the amount invested in the savings account by the return on investment (ROR). Then, divide that number by the total ROR for all investments.
So, if you have $2,700 invested in the savings account and it has an ROR of 3.6%, the weighted dollar amount of the savings account would be:
($2,700 * 3.6%) / (3.6% + 1.8% + 13.6% - 1.2%) = $104.04
Easy peasy! Let me know if you have any other questions!
Use function composition to determine if f(x) and g(x) are inverse functions.
f(x)=\sqrt[3]{x-1} and g(x)=x^3+1
By function composition, f(x) and g(x) are inverse functions
How to use function composition to determine if functions are inverse functions?A function is a relationship between inputs where each input is related to exactly one output.
f(x)= ∛(x-1) and g(x)=x³+1
To confirm the inverse relationship using composition.
If f(g(x)) = g(f(x)) then they are inverse functions
Let's confirm:
f(g(x)) = f(∛(x³+1))
= ( ∛((x³+1)-1 )
= ∛(x³)
= x
g(x)=x³+1
g(f(x)) = g(∛(x-1) )
= (∛(x-1))³ + 1
= x-1+1
= x
Since f(g(x)) = g(f(x)) then they are inverse functions
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how do i solve this equation with addition and subtraction? please help
Please help! Thank you!
Answer:
The answer is D, y=0.25t + 9.5
Step-by-step explanation:
Since the crew has been painting at a rate of 0.25 per hour continuosly, it will be 0.25 times the number of hours (t), plus the already completed road, which is 9.5.
blank divided by twenty four equals one third
Answer: 8
Step-by-step explanation: make it x = 1/3 times 24.
Also, try inserting 8 in the blank.
When a baseball is hit, the height of the ball h(t), at any time 20, is determined by the
equation h(t) = -12t^2 +44t+ 6. Determine the time at which the ball's height is exactly
46 ft. [Show all work.]
The time required for the baseball to reach the given height is 2 and 5/3 units respectively.
What is a quadratic equation?The general form of a quadratic equation is given as ax^2 + bx + c = 0.
Here, a ≠ 0 and b and c are integers.
The degree of a quadratic equation is 2.
The equation for the height of baseball can be written as,
h(t) = -12t² + 44t + 6
It is a quadratic equation.
At h = 46 ft, the value of t can be found as,
Plug h(t) = 46 in h(t) = -12t² + 44t + 6 as,
⇒ -12t² + 44t + 6 = 46
⇒ -12t² + 44t - 40 = 0
⇒ t = 2, 5/3
Hence, the time at which the height is 46 ft are given as 2 and 5/3 units respectively.
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Given the line Y equals 3X -5 what is the same line given? Is it 3X minus Y equals five or 3X minus Y equals -5 or 3X plus Y equals 15 or 3XY equals -5 or X plus 3Y equals -15.
The line 5 = 3X - Y or3X minus Y equals five is the same line of Y equals 3X -5. The correct option is A.
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Given line:
Y equals 3X -5
Simplifying,
Y = 3X - 5
This is a linear equation.
To find the same line:
Y = 3X - 5
Taking constant to one side and variable to one side,
That means,
5 = 3X - Y
3X minus Y equals five
Therefore, 3X minus Y equals five or 5 = 3X - Y is the required line.
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Polygon Q is a scaled copy of Polygon P using a scale factor of 1/2. Polygon Q's area is what fraction of Polygon P's area?
The fraction of Polygon P's area, that is Polygon Q's area, given the scale factor, is 1 / 4.
How to find the fraction ?The fact that Polygon Q is a scaled copy of Polygon P using 1 / 2 as a scale factor means that Polygon Q is half the size of Polygon P.
This means that in terms of area, Polygon Q in relation to Polygon P would be :
= 1 /2 x 1 / 2
= 1 / 4
For example, a square with sides 6 would have an area of :
= 6 x 6
= 36 units ²
The scaled shape would have sides of 3 because of the scale factor of 1 / 2 :
= 3 x 3
= 9 units ²
The fraction of the smaller shape's area is:
= 9 / 36
= 1 / 4
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What is this question in CER form.
Answer:
The slope is - 2/3 not - 2.----------------------------------------
Identify two points on the line:
(-1, - 3) and (2, - 5)Find the slope using these two points:
m = (-5 - (-3))/(2 - (-1)) = - 2/3The answer is NO.
How many solutions does this equation have? x + 5x + 4 = 3(2x - 1)
The number of solutions in the equation x + 5x + 4 = 3(2x - 1) is 0
How many solutions does this equation have?From the question, we have the following parameters that can be used in our computation:
x + 5x + 4 = 3(2x - 1)
Open the brackets
This gives
x + 5x + 4 = 6x - 3
Subtract 6x from both sides of the equation
So, we have the following representation
4 = -3
Subtract -3 from both sides of the equation
So, we have the following representation
7 = 0
The above equation is false
Hence, the equation has no solution
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Identify the expressions that correctly model the distance between a point located at (-2, 3) and the point (x, y). Select all that apply
Answer: yes
Step-by-step explanation: yesterday
which of the following graphs shows the solution set to t > 4 or t < -1
The graph that shows the solution set of the inequality t > 4 or t < -1 is given by the image presented at the end of the answer.
How to graph the solution set of the inequality?The inequality for this problem is defined as follows:
t > 4 or t < -1.
It is a compound inequality, as it has two conditions.
The first condition is given as follows:
t > 4.
Which means that numbers to the right of t = 4 are graphed, with an open circle representing an open interval.
The second condition is given as follows:
t < -1.
Which means that numbers to the left of t = -1 are graphed, with an open circle also representing an open interval.
The open intervals are because none of the conditions contain the equal symbol.
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Suppose tortilla chips cost 29.5 cents per ounce. If a bag cost $3.91, how many ounces are in the bag of chips?
There are approximately 13.38 ounces of chips in the bag.
What is division?
Division is one of the four basic mathematical operations of arithmetic, along with addition, subtraction, and multiplication. It is the inverse operation of multiplication, and it is used to find out how many times one number is contained within another number.
To find out how many ounces of chips are in the bag, you can use the formula:
cost of bag / cost per ounce = number of ounces
In this case, you know that the cost of the bag is $3.91 and the cost per ounce of chips is 29.5 cents per ounce.
First, you need to convert the cost per ounce from cents to dollars. 29.5 cents is equal to 0.295 dollars (29.5 cents / 100 cents = 0.295 dollars)
So, you can substitute these values into the formula:
3.91 / 0.295 = 13.38
Hence, there are approximately 13.38 ounces of chips in the bag.
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