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3 years ago

What is the answer to this?

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

6 0

Answer:

A. h^2+9h+23

Step-by-step explanation:

F(x) = x^2 +3x + 5.

For f( 3+h), put x = 3+h.

F( 3+h)= (3+h) ^2 + 3 (3+h) +5 = 9 +h^2 + 6h + 9 + 3h + 5 = h^2 + 9h + 23.

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Solve the equation and show all work. 4|x + 1/3| = 20 <br> i'm kind of stuck hhh

34kurt

Absolute value is a function that takes some number and outputs the size of that number, regardless of the sign. By definition, $|x|=x$ if $x\ge0$ , and $|x|=-x$ if $x$ .

For example,

|2| = 2 because the input 2 is positive, so the input is unchanged;
|-3| = -(-3) = 3 because the input -3 is negative, so the sign is switched.

What this means for this problem is that there are two cases to consider:

If $x+\frac13\ge0$ , then $\left|x+\frac13\right|=x+\frac13$ , so that

$4\left(x+\dfrac13\right)=20\implies x+\dfrac13=5\implies\boxed{x=\dfrac{14}3}$

On the other hand, if $x+\frac13$ , then $\left|x+\frac13\right|=-\left(x+\frac13\right)$ , so

$-4\left(x+\dfrac13\right)=20\implies x+\dfrac13=-5\implies\boxed{x=-\dfrac{16}3}$

6 0

4 years ago

Leila carved this solid out of wood<br><br> Find the volume of the solid.

Sliva [168]

Answer:

volume = 456 in³

Step-by-step explanation:

volume = 2(3 x 8 x 6) + (4 x 7 x 6) = 288+ 168 = 456 in³

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3 years ago

A software book is divided into two sections, basic operations and advanced in a ratio of 7:2. If there are 450 pages, how many

kenny6666 [7]

Answer:

350:100

Step-by-step explanation:

By dividing 450 by 9 which is 7 + 2, both of the ratio numbers, and you get 50. Then you do 50 x 7, the first number, then 50 x 2, the second number, to get 350:100

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3 years ago

When building a house, the number of days required to build varies inversely with with the number of workers. One house was buil

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Answer:

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The drawing will help