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sladkih [1.3K]
3 years ago
10

Graph the image of rectangle STUV after a reflection across the line x = -2

Mathematics
1 answer:
valina [46]3 years ago
8 0

Answer:  see image

<u>Step-by-step explanation:</u>

Draw line x = -2. Count how many units away each point is from line x = -2 and  create the new points the same number of units away from line x = -2 but in the opposite direction.

S is 5 units to the right of x = -2. The new point S' is 5 units to the left of x = -2.

T is 6 units to the right of x = -2. The new point T' is 6 units to the left of x = -2.

U is 6 units to the right of x = -2. The new point U' is 6 units to the left of x = -2.

V is 5 units to the right of x = -2. The new point V' is 5 units to the left of x = -2.

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Solve for x.........
vlabodo [156]

Answer:

x = 1 1/5

Step-by-step explanation:

1/3x = 2/5

multiply both sides by 3/1

x = 1 1/5

Hope this helps!!!

3 0
3 years ago
The farmer graphs a step function to model the situation. Which of the following describes the farmer’s graph for the step that
marshall27 [118]
Missing data:
Almond Prices
Number of Pounds

Cost (per pound)
up to 10
$20

more than 10, and up to 20
$15

more than 20, and up to 30
$10

more than 30
<span>$5
</span>
A) a horizontal line with an open circle at (20, 10) and a closed circle at (30, 10); $207.50
B) a horizontal line with a closed circle at (20, 10) and an open circle at (30, 10); $207.50
C) a horizontal line with an open circle at (21, 10) and a closed circle at (30, 10); $311.25
<span>D) a horizontal line with a closed circle at (21, 10) and an open circle at (30, 10); $311.25
</span>
20.75 pounds is in the more than 20, and up to 30 ; <span>$10 range.
y = 10(20.75)
y = 207.50

open circle means less than or greater than. close circle means "less than or equal to" or "greater than or equal to"

</span><span>My answer : A) a horizontal line with an open circle at (20, 10) and a closed circle at (30, 10); $207.50</span><span>

</span>
4 0
3 years ago
Please choose the answer that describes the scientific notation for 5,098,000.
avanturin [10]
Scientific notation is the representation of a number in a power of ten, with a sequence of digits placing the comma after the first digit, and the power or then that is mathematically consistent with the number. For example 400 is 4.00 * 10^2; 3100 is 3.100 * 10^4; 13421 = 1.3421 * 10 ^4. It is important that you have only one digit before the comma. So, 5,098,00 is 5.098 * 1,000,00 = 5.098 * 10^6. <span>The answer is the option c. 5.098 * 10^6.</span>
8 0
3 years ago
According to a 2014 research study of national student engagement in the U.S., the average college student spends 17 hours per w
Nadusha1986 [10]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 17

For the alternative hypothesis,

µ < 17

This is a left tailed test.

Since the population standard deviation is not given, the distribution is a student's t.

Since n = 80,

Degrees of freedom, df = n - 1 = 80 - 1 = 79

t = (x - µ)/(s/√n)

Where

x = sample mean = 15.6

µ = population mean = 17

s = samples standard deviation = 4.5

t = (15.6 - 17)/(4.5/√80) = - 2.78

We would determine the p value using the t test calculator. It becomes

p = 0.0034

Since alpha, 0.05 > than the p value, 0.0043, then we would reject the null hypothesis.

The data supports the professor’s claim. The average number of hours per week spent studying for students at her college is less than 17 hours per week.

4 0
3 years ago
Explain how an estimate helps you place the decimal point when multiplying 3.7 times 5.1
Yuki888 [10]
An estimate helps you place the decimal point because when you place 3.7 and 5.1 to multiply you have to count how many spaces of numbers there are. So the answer is 18.87.
5 0
3 years ago
Read 2 more answers
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