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muminat
2 years ago
11

Unit test

Mathematics
1 answer:
tester [92]2 years ago
5 0

Answer:

5x² + 10

Step-by-step explanation:

Hello!

Remember the area of a rectangle is length times width. So let's multiply the two sides.

Multiply:

  • 5 ( x² + 2)
  • 5x² + 10

The area of the rectangle is 5x² + 10.

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I'm trying to figure out the formula for figuring out percentages. For example, what percentage of 3175 is 510?
aivan3 [116]

Answer: There is no one specific formula

Step-by-step explanation:

The math to determine a percentage is to divide the numerator (the number on top of the fraction) by the denominator (the number on the bottom of the fraction), then multiply the answer by 100. For example, the fraction 6/12 turns into a decimal like this: 6 divided by 12 (which equals . 5) times 100 equals 50 percent

8 0
2 years ago
What is the equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1)?
gogolik [260]

Answer:

The equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1) will be:

y=2x+3

Hence, option D is true.

Step-by-step explanation:

We know that linear function can be represented using the slope-intercept formula

y = mx+b

where m is the slope and b is the y-intercept

Given the equation

y = 2x - 1

comparing with the slope-intercept form y = mx+b

Hence, the slope of the line y = 2x - 1 is: m = 2

We know that the parallel lines have the same slopes.

Thus, the slope of the equation of the line that is parallel to the linear graph of y = 2x - 1 will also be: 2

Using the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

where m is the slope of the line and (x₁, y₁) is the point

substituting the values of the slope = 2 and the point (-1, 1)

y-1=2\left(x-\left(-1\right)\right)

y-1=2\left(x+1\right)

Add 1 to both sides

y-1+1=2\left(x+1\right)+1

Simplify

y=2x+3

Therefore, the equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1) will be:

y=2x+3

Hence, option D is true.

4 0
3 years ago
One state lottery has 900 prizes of $1; 145 prizes of $10; 30 prizes of $60; 5 prizes of $325; 2 prizes of $1,110; and 1 prize o
Readme [11.4K]

Answer:

Step-by-step explanation:

The detailed step by step calculation is as shown in the attached file

5 0
3 years ago
Given f(x)=3x^2+5 and g(x)=x−2 . What is (fg)(x) ? 3x^2−x+7 3x^3−6x2+5x−10 −3x^2+x−7 3x^3−10
wolverine [178]

For this case we have that by definition:

(fg) (x) = f (x) * g (x)

So:

(fg) (x) = (3x ^ 2 + 5) (x-2)

We apply distributive property that states that:

(a + b) (c + d) = ac + ad + bc + bd

In addition, we take into account that:

+ * - = -

(fg) (x) = 3x ^ 3-6x ^ 2 + 5x-10

Answer:

3x ^ 3-6x ^ 2 + 5x-10

Option B

6 0
2 years ago
Read 2 more answers
Is lmn congruent to opq if so name the postulate
insens350 [35]

Answer:

Option (A)

Step-by-step explanation:

Given:

LM ≅ OP

MN ≅ PQ

∠M ≅ ∠P

To Prove:

ΔLMN ≅ ΔOQP

                   Statements                      Reasons

1). LM ≅ OP                                   1). Given

2). MN ≅ PQ                                 2). Given

3). ∠P ≅  ∠M                                3). Given

4). ΔLNM ≅ ΔOQP                      4). By the SAS postulate of congruence.

                                                         [Side - Angle - Side]                          

Therefore, Option (A) will be the answer.

5 0
3 years ago
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