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Karo-lina-s [1.5K]
3 years ago
12

Which function represents a reflection of f(x) = (2)x over the x-axis?

Mathematics
1 answer:
Xelga [282]3 years ago
7 0
To reflect across the x axis y=-f(x) the y coordinate's sign is changed and the x coordinates stay the same.
You might be interested in
i need help. Semir, Sarah, and SungSo decided to raise money for a local homeless shelter by working in a local deli. The deli a
IgorLugansk [536]
According to the question, 
Let,
"n" represent the number of miles semir walked.
"y" represent the number of miles sarah walked.
Now, according to the question,

y = 2n - 5  ........................this is your equation 
Also,
the question states, each of them collect $18 in pledges for every miles walked.

Given,
Sarah collected $450
Now, 

Using unitary method,

Sarah collects $18 for 1 mile
Sarah collects $1 for (1 / $18) mile
Sarah collects $450 for (1 / 18) * 450 mile
                                   = 25 miles
So, Sarah walks 25 miles.
Now,
Taking equation,
y = 2n - 5
Since, y is the no. of miles sarah walked, we can write 25 in place of "y" So,
(25) = 2n - 5
25 + 5 = 2n
30 = 2n
30 / 2 = n
15 = n

Since, "n" is the no. of miles that semir walked, Semir walked 15 miles.


7 0
3 years ago
An article includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberr
seraphim [82]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean compression strength from the extra carbonation of strawberry drink and μ2 be the mean compression strength from the extra carbonation of cola.

The random variable is μ1 - μ2 = difference in the mean compression strength from the extra carbonation of strawberry drink and the mean compression strength from the extra carbonation of cola.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

This is a left tailed test.

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

From the information given,

x1 = 530

x2 = 553

s1 = 23

s2 = 16

n1 = 10

n2 = 10

t = (530 - 533)/√(23²/10 + 16²/10)

t = - 2.6

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [23²/10 + 16²/10]²/[(1/10 - 1)(23²/10)² + (1/10 - 1)(16²/10)²] = 6162.25/383.752

df = 16

We would determine the probability value from the t test calculator. It becomes

p value = 0.0097

Since alpha, 0.05 > than the p value, 0.0097, then we would reject the null hypothesis. Therefore, at 5% significance level, the data suggests that the extra carbonation of cola results in a higher average compression strength.

4 0
3 years ago
Translate each algebraic expression or equation into a verbal phrase: X - 8 = 14
jasenka [17]

Answer:

x subtracted by negative 8 is equal to 14.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Haruka hiked several kilometers in the morning. She only hiked 6 kilometers in the afternoon, which was 25% less she had hiked i
SOVA2 [1]

WEW can use a simple equation to solve this

Let x be the number of kilometers she hiked in the morning . Then

x - 0.25x = 6 (Note 0.25 = 25 %)

0.75x = 6

x = 6 / 0.75 = 8 kilometers answer

4 0
3 years ago
Emanuel was charged 32 dollars for a fourteen and two ninths km taxi ride. What was the cost per kilometer?
atroni [7]

Answer:$ 2.25 per km


Ste) =  p-by-step explanation:

32 / (14 2/9

32 / (128/9) =

32 * 9 / 128 =

288 / 128 =

$ 2.25 per km

5 0
3 years ago
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