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Stella [2.4K]
2 years ago
13

Given f(x)= 3x+21. A. F(4)=B. F(X)= 50, X=2. C. F(-5)=D. F(X)= -34, X=

Mathematics
1 answer:
nignag [31]2 years ago
4 0

The given function is

f(x)=3x+2

A . f(4) means we have to evaluate the function when x = 4.

f(4)=3(4)+2=12+2=14<h2>Therefore, f(4) = 14.</h2>

B. f(x) = 50 means we have to evaluate the function when y = 50.-

\begin{gathered} 50=3x+2 \\ 50-2=3x \\ x=\frac{48}{3} \\ x=16 \end{gathered}<h2>Therefore, f(16) = 50.</h2>

C. f(-5) means we have to evaluate the function when x = -5.

f(-5)=3(-5)+2=-15+2=-13<h2>Therefore, f(-5) = -13.</h2>

D. f(x) = -34.

\begin{gathered} -34=3x+2 \\ -34-2=3x \\ x=\frac{-36}{3} \\ x=-12 \end{gathered}<h2>Therefore f(-12) = -34.</h2>
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Answer:

 proportional graph is a straight line that always goes through the origin. A non-proportional graph is a straight line that does not go through the origin.

Step-by-step explanation:

3 0
3 years ago
I don’t know how to do this
stich3 [128]

To check for continuity at the edges of each piece, you need to consider the limit as x approaches the edges. For example,

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has two pieces, 2x+5 and x^2-10, both of which are continuous by themselves on the provided intervals. In order for g to be continuous everywhere, we need to have

\displaystyle\lim_{x\to-3^-}g(x)=\lim_{x\to-3^+}g(x)=g(-3)

By definition of g, we have g(-3)=2(-3)+5=-1, and the limits are

\displaystyle\lim_{x\to-3^-}g(x)=\lim_{x\to-3}(2x+5)=-1

\displaystyle\lim_{x\to-3^+}g(x)=\lim_{x\to-3}(x^2-10)=-1

The limits match, so g is continuous.

For the others: Each of the individual pieces of f,h are continuous functions on their domains, so you just need to check the value of each piece at the edge of each subinterval.

4 0
3 years ago
Calculate the rectangular prism with a length of 5.6cm, a with of 2.1 cm, and a height of 6.6cm.
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8 0
3 years ago
Plz help me! It’s math!
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Answer:

The first one

Step-by-step explanation:

The number line is supposed to show the product of 2 and five, the arrow will start at 0 because 5 times 0 is 0 then it will go to 5 because 5 times 1 is 5, then another arrow will start at 5 and point at 10 because 5 times 2 is 10

The second option points backwards which would be if you were dividing 10 by 5

The third option starts at negative 10 so it shows -10 divided by -5

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7 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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