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levacccp [35]
2 years ago
11

Find the area of a rectangle with the following side lengths: Width: 3x - 4 Length: 3x + 2

Mathematics
1 answer:
alina1380 [7]2 years ago
3 0

9514 1404 393

Answer:

  9x² -6x -8

Step-by-step explanation:

The area is the product of length and width.

  A = LW

  A = (3x +2)(3x -4) = 3x(3x -4) +2(3x -4)

  A = 9x² -12x +6x -8

  A = 9x² -6x -8 . . . area of the rectangle

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Help subtract (xsquared +43x10)-(10xsquared-5x+10 express the answer in standard form
ad-work [718]

Answer:

\large\boxed{(x^2+43x+10)-(10x^2-5x+10)=-9x^2+48x}

Step-by-step explanation:

(x^2+43x+10)-(10x^2-5x+10)\\\\=x^2+43x+10-10x^2-(-5x)-10\\\\=x^2+43x+10-10x^2+5x-10\qquad\text{combine like terms}\\\\=(x^2-10x^2)+(43x+5x)+(10-10)\\\\=-9x^2+48x

6 0
3 years ago
Write 3x^2+7x+2 in the form of a(x-h)^2+k
sertanlavr [38]

Answer:

y = 3(x+7/6)² - 25/12

Step-by-step explanation:

3 0
3 years ago
PLEASE HELP! WILL GIVE BRAINLIEST!
irinina [24]

Answer:

1: y intercept = 5

2: y interpcept = -2

3: y intercept = -3

Step-by-step explanation:

So for the 1st and 3rd ones (the graphs), all you have to do is find which y matches the x value of 0

The 2nd one is a bit harder. I’ll explain it the best I can

So in the y section, you see that -4 goes to -3 when the x is raised by 1. There for everytime the x raises by 1, so does the y. That means when x = 0, the y = -2

3 0
3 years ago
Read 2 more answers
Consider the equation 1/3x−2=x+2. Write a system of linear equations using each side of the equation. Then solve the original eq
Ierofanga [76]

Answer:

(-6,4)

Step-by-step explanation:

1/3x − 2 = x + 2 is obtained by equating the following two functions:

y = (⅓)x - 2

y = x + 2

Graph:

Draw two straight lines

1) joining (0,-2) and (6,0)

2) joining (0,2) and (-2,0)

On the graph, you'll see that the above two lines intersect at: (-6,4)

Hence the solution is (-6,4)

5 0
2 years ago
A research study was performed to determine if more than 30% of first-grade students at one school have entered Piaget’s concret
suter [353]

Answer:

Type I error

Step-by-step explanation:

A type I error occurs if the null hypothesis is rejected when it is actually true.

Type I                                      Type II

Reject null when true           Fail to reject null when not true

Null hypothesis: ∪ = 30%

Alternative hypothesis: ∪ > 30%

The researchers concluded that more than 30% of first-grade students at this school have entered the concrete operational stage of development and they rejected the null hypothesis.

However, a census actually found that in the population of all first graders at this school, only 28% have entered the concrete operational stage.

A type I error has been made because in actuality the null hypothesis was true but was rejected.

7 0
3 years ago
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