What is the solution to the system of equations graphed below?

y = 4x + 11

y = -2x - 1

Answer:

t = 6.77 s

Step-by-step explanation:

Given that,

A drop of paint falls from a rafter that is 225 feet above the  ground.

We need to find the time when the paint hit the ground. Let the time be t.

Using the second equation of kinematics i.e.

[tex]s=ut+\dfrac{1}{2}at^2[/tex]

Where

u = 0 (initial velocity is 0 as it was at rest)

a = g

So,

[tex]225=\dfrac{1}{2}\times 9.8t^2\\\\t=\sqrt{\dfrac{2\times 225}{9.8}} \\\\t=6.77\ s[/tex]

So, it will hit the ground at 6.77 s.

Answer:

732

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Hope this helps you

Answer:

no, they are not.

Step-by-step explanation:

3z means a number multiplied by 3

so if z is 2, 3(2) = 6

but z^3 means z multiplied by z, and then multiplied by z again.

so if z is 2, it's 2x 2 = 4 x 2 = 8

let me know if you have questions

The two expressions are not equivalent to each other.

Equivalent expressions are expressions that are equal and synonyms to each other when used differently with various mathematical concepts.

From the expressions given:

Let us assume that:

z^3 = 3z

Now, let's replace 2 for the value of z on both sides, we have:

(2)^3 = 3(2)

8 ≠ 6

Learn more about equivalent expressions here:
https://brainly.com/question/2972832

Answer:

55

Step-by-step explanation:

Answer:

C is the answer according to me

Answer:

25

Step-by-step explanation:

middle most common

Answer:

Median is 25

Step-by-step explanation:

Step 1: Organize the data from lowest to highest

-10 10 25 25 25 32 32 32

Step 2: Find the middle number

The two middle numbers would be 25 and 25, so we would take their average which is 25 obviously.

Therefore, the median of the data set is 25

Answer:

2,20

Step-by-step explanation:

Answer:

(8,5)

Step-by-step explanation:

To determine the domain, identify the set of all the x-coordinates on the function's graph. To determine the range, identify the set of all y-coordinates. In addition, ask yourself what are the greatest/least x- and y-values. These values will be your boundary numbers.

Answer:

B) A/l

Step-by-step explanation:

Isolate the variable, w. Note the equal sign, what you do to one side, you do to the other.

Divide l from both sides of the equation:

A = l * w

(A)/l = (l)/l * w

w = A/l

B) A/l is your answer.

~

Answer:

If Zaira spent 32 hours in the first week. We subtract 32 from 55. 55-32=23. That means she worked 23 hours in the second week.

Answer:

Option 3

Step-by-step explanation:

[tex]\left(x+3\right)^{\frac{1}{3}}+3[/tex]

Answer:

option 4 on edg

Step-by-step explanation:

y=3(x+3) +3

Step-by-step explanation:

2x + 1 = 9

2x = 9 - 1

2x = 8

x = 8 ÷ 2

x = 4

PLEASE

Answer:

Step-by-step explanation:

To solve:

|2x+1|=9

|2x+1|=-9

2x=8

x=4

2x=-10

x=-5

2x+1=9

2(4)+1=9

9=9, so its true.

2x+1=-9

2(-5)+1=-9

-9=-9, so it’s true too

Answer:

66

Step-by-step explanation:

dolars per hour

Explanation:

You can verify this by plugging each root into the equation.

So for instance, plug in x = -2 and we get

f(x) = -3*(x+2)*(x-sqrt(3))*(x-4)

f(-2) = -3*(-2+2)*(-2-sqrt(3))*(-2-4)

f(-2) = -3*(0)*(-2-sqrt(3))*(-2-4)

f(-2) = 0

This verifies x = -2 is a root.

All that matters is that zero buried in there in the second to last step. Multiplying 0 by anything leads to 0. The other roots are verified in the same manner. The -3 out front is the leading coefficient.

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Extra info:

Answer:

Step-by-step explanation:

20=3x-4y, add 4y to each side

4y+20=3x, subtract 20 from each side

4y=3x-20, divide each side by 4

y=(3x-20)/4 or if you prefer

y=0.75x-5

Answer:

2

Step-by-step explanation:

2*2=4

3*2=6

(im not gonna solve the last part)

so the second one is 2 times bigger

Answer:

5 points

Step-by-step explanation:

First, find how many points per game she scored over the first 12 games:

24/12

= 2 points per game

Now, find how many she scored in the last 16 games:

112/16

= 7 points per game

Find the difference:

7 - 2

= 5

So, she scored 5 more points per game in the last 16 games

Answer:

first 12 games- 24/12= 2ppg

Last 16 games- 112/16= 7ppg

7-2= 5 points per game more

Answer:

Area of rectangle = 10 in.²

Area of triangle = 0.5 in.²

Square inches of plastic in bookmark = 9.5 in.²

Step-by-step explanation:

✔️Area of rectangle = Length × Width

Length = 5 in.

Width = 2 in.

Area of rectangle = 5 × 2 = 10 in.²

✔️Area of Triangle = ½*bh

b = 1 in.

h = 1 in.²

Area of triangle = ½*1*1

Area of triangle = 0.5 in.²

✔️Square inches of plastic in bookmark = area of rectangle - area of triangle

= 10 - 0.5 = 9.5 in²

Answer:

Option A, -15

Step-by-step explanation:

Step 1:  Look at the function that needs to be outputted when x = -3

Since x = -3, that means it falls into the first category of x ≤ -3

Step 2:  Carry out the instructions

The function for the first category is [tex]-x^{2} + 2x[/tex]

[tex]f(-3) =-(-3)^{2}+2(-3)[/tex]

[tex]f(-3) = -(9) - 6[/tex]

[tex]f(-3) = -15[/tex]

Answer:  Option A, -15

Answer:

The answer is x>2, x has to be greater than 2,

the answer is 4 since it is greater than 2

Answer:

27,000

Step-by-step explanation:

Answer:

4.06

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

qsSDASD

Answer: 3sqm

Step-by-step explanation:

Answer: 98.1%

Explanation:

A 10% sale means that the post-sale price of the item is now 90%, or 0.9 of the original cost of the item. We then apply 9% sales tax by multiplying the 0.9 by 109%, or 1.09. 0.9 * 1.09 = .981, so the total cost of the item is 98.1% of the original pre-sale sticker price.

For percentage problems that do not deal with a specific starting number, it is always helpful to plug in 100 for the starting number. Here, we would then have a post-sale price of 90 dollars, and if we calculate the sales tax for the 90-dollar item it would be 90 * 0.09 = $8.10. THis gives us a total cost of 90 + 8.10 = $98.10, or 98.1% of the original 100-dollar price.

Answer:

x1=8    x2=-7

Step-by-step explanation:

(x-8)(x+7)

x1=8

x2=-7

Answer:

f(3) = 7

Step-by-step explanation:

f(3) = 3+4

f(3) = 7