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taurus [48]
2 years ago
10

While installing a sprinkler system, Ethel wants to cut a 20-foot length of plastic tubing into two pieces. The longer piece is

to be 2 feet longer than twice the shorter piece. Find the length of each piece.
Mathematics
1 answer:
photoshop1234 [79]2 years ago
7 0
2x+2+x=20
3x+2=20
3x+2-2=20-2
3x=18

18/3=6
So x=6
So the shorter one is 6ft and the longer piece is 14ft. (Additional work to help support answer more) 14+6=20 and 6*2+2=14.
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Which is the best estimate for the average rate of change for the quadratic function graph on the interval 0 ≤ x ≤ 4?
den301095 [7]
ANSWER

A) -1

EXPLANATION

The average rate of change of the given quadratic function on the interval 0 ≤ x ≤4 is the slope of the secant line connecting the points (0,f(0)) and (4,f(4)).

That is the average rate of change is:

= \frac{f(4) - f(0)}{4 - 0}

From the graph, f(0) is 0 and f(4) is -4.

We plug in these values to obtain;

= \frac{ - 4 - 0}{4 - 0}

This simplifies to;

= \frac{ - 4}{4}

= - 1

Hence the average rate of change for the given quadratic function whose graph is shown on 0≤x≤4 is -1
5 0
3 years ago
Read 2 more answers
Is (x-4) a factor of f(x) = x3 - 2x2 + 5x + 1? Use either the remainder theorem or the factor theorem to explain your reasoning.
Virty [35]

Answer:

(x-4) is not a factor of f(x)=x³-2x²+5x+1

Step-by-step explanation:

Uding the remainder theorem,(x-4) is a factor if the remainder is 0

Plug in x=4

(4)³-2(4)²+5(4)+1

64-32+20+1

64-53

11

7 0
2 years ago
2.Pleas can someone answer!
kenny6666 [7]

Answer: A, A, C

Step-by-step explanation:

Educated Guess because none of them are going to be zero so it's either A or C but the point has a negative y so to plug it all in all of them have to be negative ex. -1 + -1 + -1 =-3

the x is -1 so both have to be negative in order to get -3

5 0
3 years ago
Classify the scenarios based on whether they are observational studies, experiments, or surveys. Scenario A: Twenty employees of
viktelen [127]

Answer:

Just took test, got it right. In the following:

Step-by-step explanation:

Scenarios:

A- Survey

B- Observation

C- Experiment

D- Survey

6 0
2 years ago
Louise, Tammy, Delores, and Sheryl score 78 points total in the tennis matches they play. They score a consecutive number of poi
irga5000 [103]

\huge\boxed{18\ \text{points}}

We'll represent Louise's, Tammy's, Delores's, and Sheryl's point values with x, x+1, x+2, and x+3 respectively since each one is 1 point more than the last.

Add all of these values up and set it all equal to 78.

x+x+1+x+2+x+3=78

Now, simplify.

4x+6=78

Subtract 6 on both sides.

\begin{aligned}4x+6-6&=78-6\\4x&=72\end{aligned}

Divide both sides by 4.

\begin{aligned}\frac{4x}{4}&=\frac{72}{4}\\x&=\boxed{18}\end{aligned}

Since Louise's score is x, the answer is 18.

<h3>Double-checking</h3>

To verify our answer, add the point totals 18, 19, 20, and 21.

This equals 78, so we can be sure the answer is correct.

5 0
1 year ago
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