Which is the slope of the line that passes through the points (2,10) and (5,8)?

The equation of the piecewise function f(x) is below. What is the value of f(3)?

JulijaS [17]

Option B: 5 is the value of f(3)

Explanation:

The equation of the piecewise function is given by

$f(x)=\left\{\begin{aligned}-x^{2}, & x$

We need to find the value of $f(3)$

The value of the function f can be determined when $x=3$ by identifying in which interval does the value of $x=3$ lie in the piecewise function.

Thus, $x=3$ lies in the interval $x\geq 0$ , the function f is given by

$f(x)=x+2$

Substituting $x=3$ in the function $f(x)=x+2$ , we get,

$f(3)=3+2$

$f(3)=5$

Thus, the value of $f(3)$ is 5.

Therefore, Option B is the correct answer.

8 0

2 years ago

Help, i will do brailiest and everything!!!

raketka [301]

Answer: a) 62.591 lb b) 7.5

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Simplify expression x8y-26/x14y-5 × x-39y-21

koban [17]

The simplified form of the expression is $x^{-45} y^{-42}$

<h3>Simplifying an expression</h3>

From the question, we are to simplify the given expression

The given expression is

$\frac{x^{8}y^{-26} }{x^{14}y^{-5} } \times x^{-39} y^{-21}$

The expression can be simplified as shown below

$\frac{x^{8}y^{-26} }{x^{14}y^{-5} } \times x^{-39} y^{-21}$

$\frac{x^{8} \times x^{-39} \times y^{-26} \times y^{-21} }{x^{14} \times y^{-5} }$

$\frac{x^{8+-39} \times y^{-26+-21} }{x^{14} \times y^{-5} }$

$\frac{x^{8-39} \times y^{-26-21} }{x^{14} \times y^{-5} }$

$\frac{x^{-31} \times y^{-47} }{x^{14} \times y^{-5} }$

Then,

$\frac{x^{-31} }{x^{14} } \times \frac{ y^{-47} }{ y^{-5} }$

$x^{-31-14} \times y^{-47--5}$

$x^{-31-14} \times y^{-47+5}$

$x^{-45} \times y^{-42}$

$x^{-45} y^{-42}$

Hence, the simplified form of the expression is $x^{-45} y^{-42}$

Learn more on Simplifying an expression here: brainly.com/question/2320607

#SPJ1

3 0

1 year ago

What is the solution to the following system?

Hunter-Best [27]

I am not 100% sure but I am pretty sure the answer is (3,-1,4)

4 0

3 years ago

A 35 foot rope is cut into two pieces with one section 6 times as long as the other section, how is the shorter piece?

guajiro [1.7K]

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Define x:
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Let the shorter piece be x.
Shorter piece = x
Longer piece = 6x

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Construct equation:
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x +6x =35
7x = 35
x =5

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Find the length:
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Shorter length = x = 5 feet
Larger length = 6x = 6(5) = 30 feet

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Answer: The shorter piece is 5 feet.
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4 0

3 years ago