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2 years ago

What two numbers multiply together to give me -21 and add together to give me 4?

Mathematics

1 answer:

alina1380 [7]2 years ago

4 0

Answer:

-3 and 7

Step-by-step explanation:

-3 and 7 because

Multiply: 7 × -3 = 21

Add: -3 + 7 = 4

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Steffen graphed two lines in order to find the solution to a given system of equations. What is the solution?

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3 years ago

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The temperature in Hokkaido in Japan was -8 degrees at 24:00 one night. By 09:00 the temperature had risen 12 degrees. What was

likoan [24]

Answer:

Step-by-step explanation:

On a number line you will got to -8 and go up 12 and you would get 4

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2 years ago

What is the inverse equation for h(x) = 2log(x-3) ?

marshall27 [118]

Given the function:

$h(x)=2log\left(x-3\right)$

To find its inverse:

$\begin{gathered} y=2log\left(x-3\right) \\ x=2log\left(y-3\right) \end{gathered}$

solving for y:

$\frac{x}{2}=log(y-3)$ $\begin{gathered} 10^{\frac{x}{2}}=y-3 \\ \\ 10^{\frac{x}{2}}+3=y \end{gathered}$

ANSWER

$h^^{-1}(x)=10^{\frac{x}{2}}+3$

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9 months ago

A hose fills a hot tub at a rate of 2.09 gallons per minute. How many hours will it take to fill a 327 gallon hot tub?

enyata [817]

Answer:

2.60 hours

Step-by-step explanation:

A hose fills a hot tub at a rate of ,

2.09 gallons ⇒ 1 minute

Now we have to find the time which takes to fill a 327 gallon hot tub.

For that, let the unknown time be x.

So,

2.09 gallons ⇒ 1 minute

327 gallon ⇒ x

Use cross multiplication to find the value of x.

2.09 x = 327 × 1

2.09x = 327

x = 327 ÷ 2.09

x = 156.45 min

Therefore, it takes 156.45 minutes.

But the question is asked for hours.

So,

Let us solve now.

156.45 ÷ 60 = 2.60 hours

Let me know if you have any other questions :-)

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1 year ago

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iragen [17]

The equivalent expression for (x + 4)^5 is $x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024$

The expression is given as:

$(x + 4)^5$

To expand the expression, we make use of Pascal triangle, where:

5:= 1 5 10 10 5 1

So, we have:

$(x + 4)^5 = 1 * x^5 * 4^0 + 5 * x^4 * 4^1 + 10 * x^3 * 4^2 + 10 * x^2 * 4^3 + 5 * x * 4^4 + 1 * x^0 * 4^5$

Evaluate the exponents

$(x + 4)^5 = 1 * x^5 * 1 + 5 * x^4 * 4 + 10 * x^3 * 16 + 10 * x^2 * 64 + 5 * x * 256 + 1 *1 * 1024$

Evaluate the products

$(x + 4)^5 = x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024$

Hence, the equivalent expression for (x + 4)^5 is $x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024$

Read more about binomial expressions at:

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2 years ago

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