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2 years ago

Below is the graph of equation y=−|x−2|+2. Use this graph to find all values of x such that y<0

Mathematics

1 answer:

gayaneshka [121]2 years ago

7 0

Answer:

x > 2 and x < -2

Step-by-step explanation:

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-2m-6+19+(-4m)+9=0..........

Natalija [7]

-6m+13=0 (put all like terms together)
-6m=-13 (subtracted 13 from both sides to leave m alone)
m=2.17 (divided both sides by -6)

7 0

3 years ago

Jeremy mowed serval lawns to earn money for his camp after he paid 17$ for gas , he had 75$ leftover to play towards camp. write

mart [117]

So Jeremy had x amount of money to begin with
he then spent $17 and was left with $75 to spend for camp so
x-17=75
add 17 to both sides
x=92

congrats, you're doing algebra

3 0

3 years ago

Read 2 more answers

Calculate the sample mean and sample variance for the following frequency distribution of heart rates for a sample of American a

spin [16.1K]

Answer:

$Mean = 68.9$

$s^2 =18.1$ --- Variance

Step-by-step explanation:

Given

$\begin{array}{cccccc}{Class} & {51-58} & {59-66} & {67-74} & {75-82} & {83-90} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}$

Solving (a): Calculate the mean.

The given data is a grouped data. So, first we calculate the class midpoint (x)

For 51 - 58.

$x = \frac{1}{2}(51+58) = \frac{1}{2}(109) = 54.5$

For 59 - 66

$x = \frac{1}{2}(59+66) = \frac{1}{2}(125) = 62.5$

For 67 - 74

$x = \frac{1}{2}(67+74) = \frac{1}{2}(141) = 70.5$

For 75 - 82

$x = \frac{1}{2}(75+82) = \frac{1}{2}(157) = 78.5$

For 83 - 90

$x = \frac{1}{2}(83+90) = \frac{1}{2}(173) = 86.5$

So, the table becomes:

$\begin{array}{cccccc}{x} & {54.5} & {62.5} & {70.5} & {78.5} & {86.5} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}$

The mean is then calculated as:

$Mean = \frac{\sum fx}{\sum f}$

$Mean = \frac{54.5*4+62.5*3+70.5*11+78.5*13+86.5*4}{6+3+11+13+4}$

$Mean = \frac{2547.5}{37}$

$Mean = 68.9$ -- approximated

Solving (b): The sample variance:

This is calculated as:

$s^2 =\frac{\sum (x - \overline x)^2}{\sum f - 1}$

So, we have:

$s^2 =\frac{(54.5-68.9)^2+(62.5-68.9)^2+(70.5-68.9)^2+(78.5-68.9)^2+(86.5-68.9)^2}{37 - 1}$

$s^2 =\frac{652.8}{36}$

$s^2 =18.1$ -- approximated

5 0

2 years ago

Solve the inequality 2(4+2x)25x+5 0 X5-2 O x2-2 O x3 O X23

Sveta_85 [38]

If you’re simplifying it’s 100x^2+200x+5

3 0

3 years ago

HELP PLEASE!!!

givi [52]

The answer is C because:
It is keeping it identity through the multiplication.

4 0

2 years ago