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2 years ago

Slope (m)=3, passes through (0, - 2)

Mathematics

2 answers:

Svetradugi [14.3K]2 years ago

6 0

Answer:

aWht is this .??????????????

makvit [3.9K]2 years ago

5 0

Your answer will be Y-2= 3(x-0)

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Cayden wants to buy a television that costs $600, including taxes. To pay for the television, he will use a payment plan that re

kobusy [5.1K]

well, the regular cost of the TV is 600 bucks, that includes taxes already, so is just 600 flat.

the payment plan makes Cayden pay 225 first, leaving 375 for periodic payments for 6 months, each payment of 74.50.

well, 74.5*6 = 447, so Cayden is paying 225 + 447 = 672, so the increase is 72 bucks.

If we take 600 to be the 100%, how much is 72 off of it in percentage?

$\begin{array}{ccll} amount&\%\\ \cline{1-2} 600&100\\ 72&x \end{array}\implies \cfrac{600}{72}=\cfrac{100}{x}\implies \cfrac{25}{3}=\cfrac{100}{x} \\\\\\ 25x=300\implies x=\cfrac{300}{25}\implies x=12$

7 0

2 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

PLEASE help me!!!!!!!!!!!!!!!!!!!!! this is due Friday and I don't understand this at all I will give brainliest points but PLEA

andrey2020 [161]

Answer:

Is it a 90 degree rotation? Pretty sure it is

Step-by-step explanation:

7 0

2 years ago

Hwo do i put this sentence into mathematical way. "The difference of a number and eighty is equivalent to the sum of double the

UNO [17]

I think it would be something like this: x-80 = (x*2)+12

7 0

2 years ago

Please answer I will give brainliest to the best

4vir4ik [10]

Answer:

1/2 will be odd theoretically.

Step-by-step explanation:

It is 1/2 because of the 8 numbers 4 are odd so 4/8 is 1/2.

8 0

2 years ago