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3 years ago

2.) state the equation for y

Mathematics

1 answer:

zubka84 [21]3 years ago

8 0

Answer:

y = 2^(x - 4)

Step-by-step explanation:

f(g(x)) = f(x - 4) = 2^(x - 4)

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Nico can do 42 push-ups in 3 minutes.

Alchen [17]

Step-by-step explanation:

Hey there!

It is said we need to find the unit rate.

What we can do is apply Unitary Method.

3 minutes = 42 push ups

1 minute = $\sf{\bf{\dfrac{42}{3}}}$

So, 12 push ups per minute is the unit rate.

In 5 minutes, he will do 12×5 = 60 push ups!

Hope it helps :)

4 0

2 years ago

Expand (x-y)^5 using pascal’s triangle

mina [271]

Hello from MrBillDoesMath!

Answer:

x^5 - 5 x^4 y + 10 x^3 y^2 - 10 x^2 y^3 + 5 x y^4 - y^5

Discussion:

Pascal's triangle looks like this (up to 6 rows)

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

The last row contains the constant multipliers in the equation. The terms in the expansion alternate in sign.

Thank you,

MrB

7 0

3 years ago

What are the roots of the quadratic equation below? x2 + 2x= -5

muminat

Answer:

No real root.

Complex roots:

$x = -1 \pm 2i$

Step-by-step explanation:

$x^2 + 2x = -5$

$x^2 + 2x + 5 = 0$

There are no two integers whose product is 5 and whose sum is 2, so this trinomial is not factorable. We can use the quadratic formula.

$x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

$x = \dfrac{-2 \pm \sqrt{2^2 - 4(1)(5)}}{2(1)}$

$x = \dfrac{-2 \pm \sqrt{4 - 20}}{2}$

$x = \dfrac{-2 \pm \sqrt{-16}}{2}$

Since we have a square root of a negative number, there are no real roots. If you have learned complex numbers, then we can continue.

$x = \dfrac{-2 \pm 4i}{2}$

$x = -1 \pm 2i$

7 0

3 years ago

Read 2 more answers

Wilma bought a skateboard for 20% off. The normal price was 120.90. How much did Wilma pay for the skateboard, not including tax

evablogger [386]

The answer is 96.72

7 0

3 years ago

I just need to see how to work this problem out, so I don't have to ask a question like this again..and I know what I'm doing ne

mihalych1998 [28]

Answer by Mimiwhatsup:

$-6x+12>24\\\mathrm{Subtract\:}12\mathrm{\:from\:both\:sides}\\-6x+12-12>24-12\\Simplify\\-6x>12\\Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)\\\left(-6x\right)\left(-1\right)$

$=-\frac{12}{6}\\\mathrm{Divide\:the\:numbers:}\:\frac{12}{6}=2\\=-2\\Answer is: x$

8 0

3 years ago