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3 years ago

Given:

Mathematics

1 answer:

Natali [406]3 years ago

4 0

Answer:

$\overline{PM}\cong\overline{ON}$ :, Segment subtended by the same angle on two adjacent parallel lines are congruent

Step-by-step explanation:

Statement, Reason

MNOP is a parallelogram:, Given

$\overline{PM}\left | \right |\overline{ON}$ :, Opposite sides of a parallelogram

∠PMO ≅ ∠MON:, Alternate Int. ∠s Thm.

$\overline{MN}\left | \right |\overline{PO}$ :, Opposite sides of a parallelogram

∠POM ≅ ∠NMO:, Alternate Int. ∠s Thm.

OM ≅ OM:, Reflexive property

$\overline{PM}\cong\overline{ON}$ :, Segment subtended by the same angle and on two adjacent parallel lines are congruent

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For the function f(x)=(x+6)^3, rind f^-1(x)

qaws [65]

Answer:

$f^{-1}(x)=\sqrt[3]{x}-6$

Step-by-step explanation:

$f(x)=(x+6)^3$

$y=(x+6)^3$

$x=(y+6)^3$

$\sqrt[3]{x}=y+6$

$\sqrt[3]{x}-6=y$

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2 years ago

Does anyone know the awnser to this problem?

ASHA 777 [7]

x y

1 16

2 12

3 8

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Step-by-step explanation:

you have to substitute ever number on the X side in the equation to get the Y

for example 1 is under x so you will take

y=20-4(1)

y=20-4

y=16

3 0

2 years ago

Zahra compares two wireless data plans. Which equation gives the correct value of n, the number of GB, for which Plans A and B c

Elden [556K]

The equation which gives the correct value of n, the number of GB, for which Plans A and B cost the same is 8n = 20 + 6(n-2)

To determine which equation gives the correct value of n, the number of GB, for which Plans A and B cost the same, we will first solve the equations.

For the first equation

8n = 20 + 6n

Collect like terms

8n - 6n = 20

2n = 20

Then, n = 20 ÷ 2

n = 10 GB

For Plan A

No initial fee and $8 for each GB

Here, 10GB will cost 10 × $8 = $80

For Plan B

$20 for the first 2GB and $6 for each additional GB after the first 2

Here, 10GB will cost $20 + (8 × $6) = $20 + $48 = $68

∴ Plans A and B do not cost the same here.

For the second equation

8n = 20(2n) + 6

First, clear the bracket

8n = 40n + 6

Now, collect like terms

40n - 8n = 6

42n = 6

∴ n = 6 ÷ 42

n = 1/7 GB

For Plan A

No initial fee and $8 for each GB

Here, 1/7GB will cost 1/7 × $8 = $1.14

For Plan B

$20 for the first 2GB and $6 for each additional GB after the first 2

Here, 1/7GB will cost $20 (Since the lowest cost is $20)

∴ Plans A and B do not cost the same here.

For the third equation

8n = 20 + 6(n-2)

First, clear the brackets

8n = 20 + 6n - 12

Now, collect like terms

8n - 6n = 20 - 12

2n = 8

n = 8 ÷ 2

n = 4 GB

For Plan A

No initial fee and $8 for each GB

Here, 4GB will cost 4× $8 = $32

For Plan B

$20 for the first 2GB and $6 for each additional GB after the first 2

Here, 4GB will cost $20 + (2 × $6) = $20 + $12 = $32

Plans A and B do not cost the same here.

∴ Plans A and B do cost the same here

For the fourth equation

8n = 20 + 2n + 6

Collect like terms

8n - 2n = 20 + 6

6n = 26

n = $\frac{26}{6}$

n = $\frac{13}{3}$ GB or $4\frac{1}{3}$ GB

For Plan A

No initial fee and $8 for each GB

Here, $\frac{13}{3}$ GB will cost $\frac{13}{3}$ × $8 = $34.67

For Plan B

$20 for the first 2GB and $6 for each additional GB after the first 2

Here, $4\frac{1}{3}$ GB will cost $20 + ( $2\frac{1}{3}$ × $6) = $20 + $14 = $34

∴ Plans A and B do not cost the same here.

Hence, the equation which gives the correct value of n, the number of GB, for which Plans A and B cost the same is 8n = 20 + 6(n-2)

Learn more here: brainly.com/question/9371507

6 0

2 years ago

Write the equation for the line whose slope is -1/4 and goes through the point (-2,6)

Kryger [21]

Answer:

$y = -\frac{1}{4} + \frac{11}{2}$

Step-by-step explanation:

use y = mx + b where:

y = y-coordinate = 6

m = slope = -1/4

x = x-coordinate = -2

b = y-intercept = what we're solving for to complete the equation

plug the values into the equation

$6 = -\frac{1}{4}(-2) + b$ multiply $-\frac{1}{4}$ and 2

$6 = \frac{1}{2} + b$ subtract $\frac{1}{2}$ from both sides

$b = \frac{11}{2}$

now we plug m and b into the equation and leave x and y as variables to get the final equation:

$y = -\frac{1}{4} + \frac{11}{2}$

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3 years ago

In order to say that a distribution with higher median value to compare with mean, which of the following must be true?

GenaCL600 [577]

Answer:

Step-by-step explanation:

this is only if you're talking about density curves, which i assume you are.

5 0

3 years ago