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3 years ago

What is the inverse of y = 2x^2 – 8?

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

6 0

$y = 2x^2 - 8 \\ 2x^2 = y + 8 \\ x^2 = \frac{y+8}{2} \\ x = \sqrt{\frac{y+8}{2}} \\ f^{-1} (x)=\sqrt{\frac{x+8}{2}}$

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Which of the following are exterior angles? Check all that apply.

zheka24 [161]

Answer:

2, 3, 5, 6

Step-by-step explanation:

because the angles are outside

8 0

2 years ago

Sarah has $20 saved. She gets $10 per week for her allowance, and she saves her allowance for the next 3 weeks. At the end of th

Nimfa-mama [501]

Answer:

Sarah will have $200 after 3 weeks

Step-by-step explanation:

amount saved at the start = $20

amount saved per week = $10

number of weeks = 3

∴ Total savings from allowance after 3 weeks = 10 × 3 = $30

Amount received in birthday money = $150

∴ Total amount saved after 3 weeks = amount saved at the start + Total savings from allowance after 3 weeks + Amount received in birthday money

Total amount saved after 3 weeks = 20 + 30 + 150 = $200

Therefore Sarah will have $200 after 3 weeks

5 0

3 years ago

Which is the correct first line for dividing the function

Firlakuza [10]

Given function is f(x) = x³ -12x +16.

We can write it as x³ +0x² -12x +16.

We need to write the numbers in order from left to right, so it would be {1, 0, -12, 16}.

Given factor is x -2 = 0, that means x = 2. So we need to divide the numbers by 2.

So correct way to divide the function would be 2 L 1, 0, -12, 16.

Hence, option C is correct.

6 0

2 years ago

Read 2 more answers

12. In the given figure, RS is parallel to PQ, If RS = 3 cm, PQ = 6 cm and ar(∆TRS) = 15cm³, then ar (∆TPQ) = ? (a) 70 cm² (b) 5

Gnesinka [82]

$\large\underline{\sf{Solution-}}$

Given that,

In triangle TPQ, 

RS || PQ,

RS = 3 cm,

PQ = 6 cm,

ar(∆ TRS) = 15 sq. cm

As it is given that, RS || PQ

So, it means

⇛∠TRS = ∠TPQ [ Corresponding angles ]

⇛ ∠TSR = ∠TPQ [ Corresponding angles ]

$\rm\implies \: \triangle TPQ \: \sim \: \triangle TRS \: \: \: \: \: \: \{AA \}$

Now, We know 

Area Ratio Theorem,

This theorem states that :- The ratio of the area of two similar triangles is equal to the ratio of the squares of corresponding sides.

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{ar( \triangle \: TRS)} = \dfrac{ {PQ}^{2} }{ {RS}^{2} }$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{ {6}^{2} }{ {3}^{2} }$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{36 }{9}$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = 4$

$\rm\implies \:ar( \triangle \: TPQ) = 60 \: {cm}^{2}$

3 0

2 years ago

A3/8

mart [117]

Answer:

A.)130 80

Step-by-step explanation:

1y/3x

-8x/1xy

answer:130 80

5 0

2 years ago