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1 year ago

Problem

Mathematics

2 answers:

aniked [119]1 year ago

7 0

Answer:

13 units

Step-by-step explanation:

Fiesta28 [93]1 year ago

3 0

Answer:

do you have a photo of the figure?

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Betsy is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect? f(x) g(x) graph of the function f

agasfer [191]

Consider the quadratic function $f(x)=\frac{1}{3}x^2-2x$

and the linear function g(x) defined as

$\text{at }x=1, g(x)=1; \text{ at }x=2, g(x)=2 \text{ and at }x=3, g(x)=3$

$\text{so the linear function is }
g(x)=x\\
\\
\text{now to check whehter the quadratic function f(x) and linear function }g(x)\\
\text{intersects, we solve the equations }f(x)=g(x)\\
\\
\Rightarrow \frac{1}{3}x^2-2x=x\\
\\
\Rightarrow \frac{1}{3}x^2-3x=0\\
\\
\Rightarrow x\left ( \frac{1}{3}x-3 \right )=0\\
\\
\text{now using the zero product rule, we get}\\
\\
x=0 , \text{ and } \frac{1}{3}x-3=0$

$\Rightarrow x=0, \text{ and }\frac{1}{3}x=3\\
\\
\Rightarrow x=0, \text{ and }x=9\\
\\
\text{so the functions intersect at x=0 and x=9.}$

4 0

1 year ago

Read 2 more answers

Which describes the correlation shown in the scatterplot?

Alex_Xolod [135]

Answer: C) There is no positive or negative correlation

A positive correlation is one where the values are increasing, and the line of dots are clearly going down to up.

A negative correlation is the opposite. The values are decreasing, and the line goes from up to down.

This correlation is one that is neither positive or negative. It is a straight line where the values neither increase nor decrease.

Hope this helps comment below for more questions :)

8 0

2 years ago

Read 2 more answers

I do not understand how to do this at all. Will someone please help me???

andrew-mc [135]

Step-by-step explanation:

Part A: The temperature must be greater than -40, and lower than 140. -40 < T < 140

Part B: The graph is a number line between -40 and 140, with open circles at -40 and 140. The solutions are temperatures at which the gas will remain liquid.

Part C: No, -49 is less than -40, so the gas would have frozen.

4 0

2 years ago

Parallel lines m and n are cut by a transversal. At the intersection of line m with the transversal, the uppercase left angle is

laiz [17]

Answer:

Step-by-step explanation:

edg2020

7 0

2 years ago

6. Kathleen needs 240 valid signatures on a petition to get a crosswalk installed on her street. She knows

fredd [130]

Kathleen must get 300 signatures to make sure she will have enough valid signatures for the crosswalk

<em><u>Solution:</u></em>

Given that Kathleen needs 240 valid signatures on a petition to get a crosswalk installed on her street

She knows that about 20% of the signatures will not be valid for a variety of reasons

Let "x" be the number of signatures

invalid signature = 20 % of x

valid signatures = 240

Then, according to question,

total number of signatures - invalid signatures = 240

x - 20 % of x = 240

$x - 20 \% \times x = 240\\\\x - \frac{20}{100} \times x = 240\\\\x - 0.2x = 240\\\\0.8x = 240\\\\x = 300$

Therefore, she must get 300 signatures so that she will have enough valid signatures for the crosswalk

3 0

2 years ago