Answer:
Check attachment below
Step-by-step explanation:
To do this :
we know the graph will cross the y axis at -9 (because of the y-intercept)
And we can work out the x-intercept by making y=0 and solving for x.
This gives us 15
Check graph below for the answer
Jenna's rectangular garden borders a wall. She buys 80 ft of fencing. What are the dimensions of the garden that will maximize its area?
A.) 5’ x 70’
B.) 3’ x 74’
C.) 15’ x 50’
D.) 20’ x 40’
Answer:
D. 20' x 40'
Step-by-step explanation:
Can u find x? with work
Find y and Find z??? Plsss thank youuu
Answer:
x = 8
y = 12
z = 48
Step-by-step explanation:
Using CPCTC (Corresponding Parts of Corresponding Triangles are Congruent), we can set up two equations to solve for x and y...
3x=24
9y=108
Start by solving for x...
3x=24
Divide both sides by 3
x=8
Then, solve for y...
9y=108
Divide both sides by 9
y=12
Note that angles in a triangle add up to 180 degrees. We can use this information to set up an equation:
24+108+z=180
132+z=180
z=48
2 x 3 ( 3 + 1 ) x 4 +7 - 5
Step-by-step explanation:
2x3(3+1)x4+7-5
6(4)x4+2
24x4+2
96+2
98
hope this helps you
have a good day
If the area of the vegetable garden is 170 square feet, which equation could be use to find the length of
the tomato patch?
The equation that could be used to find the length of the tomato patch is 0 = 3x² + 17x -160 option (A) is correct.
What is rectangle?It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degree. It is a type of quadrilateral.
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
From the question:
The area of the vegetable garden = 170 square feet
The quadratic equation:
0 = 3x² + 17x -160
D = 2209
D > 0
The positive root of the quadratic equation is:
x = 5 ft (length of the tomato patch)
Thus, the equation that could be used to find the length of the tomato patch is 0 = 3x² + 17x -160 option (A) is correct.
Learn more about the rectangle here:
https://brainly.com/question/15019502
What is the solution set for the inequality 4−5g > 39 Question 3 options: g < −7 g>7 g<7 g > −7.
Answer:
g < -7
General Formulas and Concepts:
Algebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTerms/Coefficients
Step-by-step explanation:
*Note:
When dividing or multiplying both sides of the inequality by a negative, flip the inequality sign.
Step 1: Define
Identify.
4 - 5g > 39
Step 2: Solve for g
[Subtraction Property of Equality] Subtract 4 on both sides: -5g > 35[Division Property of Equality] Divide -5 on both sides: g < -7∴ any number g less than -7 would work as a solution to the inequality.
---
Topic: Algebra I
Unit: Inequalities
Kevin drank 3 1/4 of water and 1 3/4 pints of juice. How much more water than juice did Kevin drink
(help) what is 10 1/2 ÷ 9 2/6 = ?
Answer:
1 1/8
Step-by-step explanation:
10 1/2 ÷ 9 2/6 =
= 10 1/2 ÷ 9 1/3
= 21/2 ÷ 28/3
= 21/2 × 3/28
= 3/2 × 21/28
= 3/2 × 3/4
= 9/8
= 1 1/8
Answer: 1.125 or [tex]1\frac{1}{8}[/tex]
Step-by-step explanation:
Turn the mixed fraction into a regular fraction. Multiply the whole number by the denominator, then add that total to the number in the numerator. (For example: [tex]9\frac{2}{6}[/tex] = 9 ×6=54 +2=[tex]\frac{56}{6}[/tex])Once both mixed fractions are turned into regular fractions, flip one of them so they are written as their reciprocal (example: [tex]\frac{56}{6}[/tex]= [tex]\frac{6}{56}[/tex]) ONLY DO THIS TO ONE OF THE FRACTIONS, this will allow you to seamlessly cross multiply)After this, change the division sign to a multiplication sign and multiply the numerators by each other and the denominators by each other. You should be left with [tex]\frac{126}{112}[/tex]Simplify!The picture attached shows these steps in detail!
Diane bought 3 CDs that were each the same price. Including sales tax, she paid a total of $32.10. Of that total, $1.80 was tax. What was the price of each CD before tax?
All you have to do is take $32.10 and then subtract 1.80. So it should look like 32.10 - $1.80. The answer should be 30.30
Let R be the region in the first quadrant bounded by the
graph of y = x² and the line y = 4.
(a) Find the area of the region R.
(b) A solid S has base R. Each cross-section of this solid
perpendicular to the y-axis is a semicircle, with its
diameter in R. Find the volume of the solid S.
(c) Another solid is formed by revolving R about the line
y = 7. Find the volume of this new solid.
a) The area within the region is [tex]\frac{16}{3}[/tex].
b) The volume of the solid [tex]S[/tex] is [tex]\pi[/tex] cubic units.
c) The volume of the solid of revolution is [tex]\frac{164}{3}\pi[/tex] cubic units.
How to apply integral formulas to determine areas and volumesa) The region is bounded between [tex](0,0)[/tex] and [tex](2, 4)[/tex], the area of the region is defined by the following integral formula:
[tex]A = \int\limits^{b}_{a} {[g(x)-f(x)]} \, dx[/tex] (1)
Where:
[tex]f(x)[/tex] - Lower function[tex]g(x)[/tex] - Upper function[tex]a[/tex] - Initial value[tex]b[/tex] - Final valueIf we know that [tex]f(x) = x^{2}[/tex], [tex]g(x) = 4[/tex], [tex]a = 0[/tex] and [tex]b = 2[/tex], then the area within the region is:
[tex]A = \int\limits^{2}_{0} {4-x^{2}} \, dx[/tex]
[tex]A = \frac{16}{3}[/tex]
The area within the region is [tex]\frac{16}{3}[/tex]. [tex]\blacksquare[/tex]
b) The volume of the solid [tex]S[/tex] is determined by the following integral formula:
[tex]V = \frac{\pi}{8} \int\limits^2_0 {x^{2}} \, dy = \frac{\pi}{8} \int\limits^2_0 {x^{2}\cdot (2\cdot x)} \, dx = \frac{\pi}{4}\int\limits^2_0 {x^{3}} \, dx[/tex]
[tex]V = \pi[/tex]
The volume of the solid [tex]S[/tex] is [tex]\pi[/tex] cubic units. [tex]\blacksquare[/tex]
c) The solid of revolution around an axis parallel to the [tex]x[/tex]-axis is described by the following formula:
[tex]V = \pi \int\limits^b_a {[[f(x)-k]^{2}-[g(x)-k]^{2}]} \, dx[/tex] (2)
Where [tex]k[/tex] is the y-coordinate of the axis of revolution.
If we know that [tex]f(x) = x^{2}[/tex], [tex]g(x) = 4[/tex], [tex]k = 7[/tex], [tex]a = 0[/tex] and [tex]b = 2[/tex], then the volume of the solid of revolution is:
[tex]V = \pi\int\limits^2_0 {[(x^{2}-7)^{2}-(4-7)^{2}]} \, dx[/tex]
[tex]V = \frac{164}{3}\pi[/tex]
The volume of the solid of revolution is [tex]\frac{164}{3}\pi[/tex] cubic units. [tex]\blacksquare[/tex]
To learn more on solids of revolution, we kindly invite to check this verified question: https://brainly.com/question/338504
Which table shows a set of ordered pairs that satisfies the equation shown?
y=1/3x
Answer: B
Step-by-step explanation: I graphed all the points and all the points on graph b were correct and on the line. i don't know how to put a pic of the graph on here so just trust me or go to desmos and graph the points on there.
Help me quick please
Answer:
y ≤ 1/2x + 5
Step-by-step explanation:
-3x + 6y ≤ 30
add 3x on both sides:
6y ≤ 3x + 30
divide 6 on both sides:
y ≤ 3/6x + 30/6
This is simplified to:
y ≤ 1/2x + 5
Factor the expression using the GCF.
42+24n
Answer:
6(7+4n)
Step-by-step explanation:
Please give brainliest
Bailey buys a car for $18,000 and it has a depreciation value of 16% per year after 3
years how much will her car be worth?
Answer:
$10668.67
Step-by-step explanation:
If the car value goes down 16% each year, after the first year, it will be worth 1520.
The next year, it will be worth $12700.80
After the third year, the car will be worth $10,668.67
factor 6(x^2 - 16) - (3x+1) (x-4) + (8-2x) (x+2)
Answer:
Step-by-step explanation:
a² - b² = (a + b)(a - b)
x² - 16 = x² - 4²
= (x + 4)(x -4)
8 - 2x = (-2)*(-4) - 2x
= -2( -4 + x)
= -2( x - 4)
6(x² - 16) - (3x +1)(x - 4) + (8 - 2x) = 6(x +4)(x-4) -(3x +1)(x -4) - 2(x -4)
= (x -4) [6*(x+4) - (3x+ 1) - 2]
= (x -4) [ 6x + 24 - 3x - 1 - 2]
= (x - 4) [ 6x - 3x + 24 - 1 - 2]
= (x - 4)(3x + 21)
= (x -4) 3*(x +7)
= 3(x -4)(x+7)
7 14(-1/8) – 5] + 9
evaluate
Answer:
(-4/8) - (-9/7) = 11/
14
≅ 0.7857143
Spelled result in words is eleven fourteenths.
Step-by-step explanation:
Please tell me if correct
which is the greatest common factor for 15 and 18
Answer:
3 is the GCF for 15 and 18
Step-by-step explanation:
Q) GCF for 15 and 18?
Possible factors are,
→ 15 = 3 × 5
→ 18 = 2 × 3 × 3
Common factor is,
→ 3 (in 15 and 18)
Hence, 3 is the GCF for 15 and 18.
The total of a number and -15 is at most -10?
Answer:
This sounds like you're trying to find the average of a group of numbers. For instance, suppose you want to find the average age of a group of people whose ages are 16, 18, 23, and 28. First, you sum the numbers: 16 + 18 + 23 + 28. You get 85. Then you divide 85 (the sum) by how many numbers you added together (4). So you divide 85 by 4, which gives you 21.25. Hope this helps!
Write 16 as a product of primes.
Use index notation when giving your answer.
Answer:
2⁴
Step-by-step explanation:
16
= 4 × 4
= 2 × 2 × 2 × 2
= 2⁴
Hope it helps ⚜
16
to find:the index notation.
solution:[tex]16[/tex]
[tex]4 \times 4 = 16[/tex]
[tex] {4}^{2} = 16[/tex]
[tex]2 \times 2 \times 2 \times 2 = 16[/tex]
[tex]2 {}^{4} = 16[/tex]
1/4 to 1/2 fine the percent of change
Brad, Stella, and Gilbert want to get a thank you gift for Maria. They will split the cost evenly. They buy 6 roses at $2.15 each and a box of chocolates for $7.90. The store has a "no sales tax" day.
Brad estimates the cost per person to be $8. Is this reasonable?
A yes or no
Stella estimates the cost per person to be $7. Is this reasonable?
B yes or no
Gilbert estimates the cost per person to be $6. Is this reasonable?
C yes or no
Answer: Stella has a reasonable Answer
Step-by-step explanation:
When you add up all of the Costs, you get an answer of $20.80
You Divide $20.80 by 3
And you get your answer of 6.93333
Which estimates around 7 dollars making Stella Right!
Hope this helps :)
Find the missing value
Answer:
26
Step-by-step explanation:
Being equilateral triangle
can anyone help with A ? it’s the pythagorean theorem
Answer:
The sides are not a right triangle
Step-by-step explanation:
The Pythagorean theorem states that a² + b² = c²
-> a and b are the legs
-> c is the hypotenuse
We can plug the values that we have in, and see if it will solve correctly.
a² + b² = c²
11² + 5² = 13²
121 + 25 = 169
146 ≠ 169
Fifty Points and Brainliest!
Select all that have a proportional relationship:
Answer:
B and D both have a proportional relationship
Step-by-step explanation:
Please give brainliest
Your Welcome :)
What equations for x=-3 is a possible solution?
Answer:
2,4,5
Step-by-step explanation:
My friends are walking to their house. They first walks directly north 20 feet. They then turn to the right and walk directly east 20 feet and they arrive at their house. If my friends had walked from their starting point directly to their house in a straight line, How many feet would they walk?
Answer:
28.28 ft
Step-by-step explanation:
20^2+20^2=c^2
400+400=c^2
28.28 = c
A motorboat travels 35 km in 2 hours with the current of the river. The same motorboat travels 39 km in 3 hours in a lake. Find the speed of the current.
Answer:
0.5km/h
Step-by-step explanation:
Assume lake has no current.
.
V=distance / time
V=39km / 3h
V=13km/h
In water Assume boat used same power travelling
V=35km / 2h
V= 12.5km/h
Current is the difference 0.5km/h
PLS HELP ITS DUE IN 10 MIN DONT ANSWER FOR POINT THIS IS NOT AN ASSESMENT ITS HOMEWORK.
A girl runs ‘x’ metre in 10 minutes. How many metres does she run in 1 hour?
Step-by-step explanation:
10 minutes = x
60 minutes (1) hour = x/10 * 60
In 60 minute or 1 hour she runs 60x/10 = 6x metre
Given the piecewise function above evaluate the following statements. (write "DNE" if the limit does not exist)
The piecewise function of the above evaluate the following statements has the limit of the function as,
a) Does not exist (DNE)b) 3-13e) Does not exist (DNE)2What is the limit of a function?
The limit of a function at a certain point is the points, or boundary, in which the function can be existed.
The first function is given as,[tex]\lim_{x \to -2} f(x)[/tex]
Here, the limit of the function is -2. This limit does not exist for the given graphed function.
The second function is given as,[tex]\lim_{x \to 0} f(x)[/tex]
Here, the limit of the function is 0. At this limit the function is continues and the value of the function at point 0 is 3.
The third function is given as,[tex]\lim_{x \to 2} f(x)[/tex]
Here, the limit of the function is 2. At both the place, upside or downside, we get the value as -1. Thus, the value of function is -1.
The forth function is given as,[tex]f(2)[/tex]
Here, the function has the initial value 2. At this value, the value of the function is 3. Thus, the limit of the function at this point is 3.
The fifth function is given as,[tex]\lim_{x \to 4} f(x)[/tex]
Here, the limit of the function is 4. For this limit, the asymptotes goes from positive infinite and negative infinite. Thus, the limit does not exist for this point.
The sixth function is given as,[tex]\lim_{x \to \infty} f(x)[/tex]
Here, the limit of the function is ∞. For this limit, the function will tend asymptotically to the number 2.
The piecewise function of the above evaluate the following statements has the limit of the function as,
a) Does not exist (DNE)b) 3-13e) Does not exist (DNE)2Learn more about the limit of a function here:
https://brainly.com/question/23935467
Use special angle relationship to find the missing sides and heights. Then find the area and perimeter of each figure in simplified radical form. Then find answer to the nearest whole number. (Step by step)
Answer:
I don't know how sorry ....
Jade has $451. 89 in her checking account. After 3 checks, each for the same amount, are deducted from her account, she has $358. 92 left in her account. Assume she makes no other withdrawals or deposits. Which equations represent c, the amount of one check, in dollars? Select three options. 451. 89 minus c = 358. 92 451. 89 minus 3 c = 358. 92 358. 92 3 c = 451. 89 358. 92 c c c = 451. 89 c = 3 (451. 89 minus 358. 92).
The equation from the given equations, representing c, the amount of one check(for the given condition), in dollars is given by: Option C: [tex]358.92 + 3c = 451.89[/tex]
How to interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.
Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.
Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.
Thus, [tex]a \div b[/tex] = a divided in b equal parts.
Also, we can write: [tex]a \div b = a \times \dfrac{1}{b}[/tex]
(it is since a = a times 1 so [tex]a/b = 1 \times (a/b) = (1/b) \times a[/tex])
For the given case, the amount those 3 checks together have is the difference in Jade's account's initial and final balance.
Amount deducted by 3 checks = $451.89 - $358.92
Amount of all 3 checks is $c
Thus, total of their amount = $(c + c + c) = 3c
Thus, we get:
[tex]3c = 451.89 - 358.92\\\\\text{Dividing both the sides by 3}\\\\c = \dfrac{451.89 - 358.92}{3} \text{\: (in dollars)}\\or\\\\358.92 + 3c = 451.89[/tex]
Thus, the equation from the given equations, representing c, the amount of one check(for the given condition), in dollars is given by: Option C: [tex]358.92 + 3c = 451.89[/tex]
Learn more about division here:
https://brainly.com/question/26411682