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2 years ago

Which of the following statements is true? -6 < -8 -6> -8 or -6=-8

Mathematics

1 answer:

olganol [36]2 years ago

4 0

Answer:

-6>-8

Step-by-step explanation:

-6 is more than -8.

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Factor out 6x3 - 12x2 + 9x completely.

Radda [10]

Answer:

-3x x(2x²+4x-3)

Step-by-step explanation:

8 0

2 years ago

Hannah uses a store gift card to pay for 3 pair of pants priced at $27 each. What is the change in

kicyunya [14]

Answer:

If the gift card is $30 the remaining change is 3 dollars

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3 years ago

A parabola passes through the points (–5, –10) and (5, –10), and the vertex is located at (0, 0). Find the equation of the parab

vitfil [10]

The equation of the parabola is -0.4x^2

8 0

3 years ago

Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse

Drupady [299]

Answer:

$a'(d) = \frac{d}{5} + \frac{3}{5}$

$a(a'(d)) = a'(a(d)) = d$

Step-by-step explanation:

Given

$a(d) = 5d - 3$

Solving (a): Write as inverse function

$a(d) = 5d - 3$

Represent a(d) as y

$y = 5d - 3$

Swap positions of d and y

$d = 5y - 3$

Make y the subject

$5y = d + 3$

$y = \frac{d}{5} + \frac{3}{5}$

Replace y with a'(d)

$a'(d) = \frac{d}{5} + \frac{3}{5}$

Prove that a(d) and a'(d) are inverse functions

$a'(d) = \frac{d}{5} + \frac{3}{5}$ and $a(d) = 5d - 3$

To do this, we prove that:

$a(a'(d)) = a'(a(d)) = d$

Solving for $a(a'(d))$

$a(a'(d)) = a(\frac{d}{5} + \frac{3}{5})$

Substitute $\frac{d}{5} + \frac{3}{5}$ for d in $a(d) = 5d - 3$

$a(a'(d)) = 5(\frac{d}{5} + \frac{3}{5}) - 3$

$a(a'(d)) = \frac{5d}{5} + \frac{15}{5} - 3$

$a(a'(d)) = d + 3 - 3$

$a(a'(d)) = d$

Solving for: $a'(a(d))$

$a'(a(d)) = a'(5d - 3)$

Substitute 5d - 3 for d in $a'(d) = \frac{d}{5} + \frac{3}{5}$

$a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}$

Add fractions

$a'(a(d)) = \frac{5d - 3+3}{5}$

$a'(a(d)) = \frac{5d}{5}$

$a'(a(d)) = d$

Hence:

$a(a'(d)) = a'(a(d)) = d$

7 0

2 years ago

how many three foot wide pieces of fencing are needed to surround the perimeter of a yard that is 15 feet long and 24 feet wide?

NeX [460]

Answer:

u need 78 feet of the three foot wide fencing

5 0

2 years ago