Which of the following are solutions to the graph

20. What is the transformation?:

schepotkina [342]

Answer:

Reflection

Step-by-step explanation:

A rotation would be to rotate a figure around the origin

A reflection would be to reflect the figure around one of the axes.

A translation would be to move a figure a certain amount of units.

Since A and A' are 2 units away from the y-axis, and C, B, B', and C' are all one unit away from the y-axis, this could not be a translation because the position of A'B'C' is not the same position of ABC.

It could not be a rotation around the origin or any point because it would result the figure in either Quadrant 2 or 3, and in the one occasion it would be in Quadrant 1, the figure cannot be in that position.

This reveals only one option, that which is a reflection. A reflection about the x-axis would not make sense, since it would result in Quadrant 3, so a reflection around the y-axis would make the most sense.

The data we have above also accounts for a reflection, since all points are a certain distant away from the y-axis.

8 0

3 years ago

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An electrician charges a set fee for every house call and then charges an hourly ratedepending on how long the job takes. The to

Luda [366]

We have the equation:

$C(t)=65+60t$

Given the slope-intercept formula for the equation of the line, we have the following:

$\begin{gathered} y=mx+b \\ m\colon\text{ slope} \\ If\text{ C=65+60t} \\ \Rightarrow slope\text{ = 60} \end{gathered}$

Now, since we have that t is the number of hours the electrician spends working, the slope of the function represents the hourly rate charged.

8 0

1 year ago

Brody is 4 years older than his brother Logan. The sum of their ages is 14. How old is Logan?

Vitek1552 [10]

Answer:

Logan is 5 years old.

Step-by-step explanation:

THE SUM of their ages is 14, if logan is ten, then brody is 14. 14+10=24. Logan is 5. 5+4=9, 9+5=14.

3 0

2 years ago

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I need help with this ASAP.

Tomtit [17]

Answer:

Step 1 write the equation for perimeter (2L+2W =24)

Step 2 write the equation for area L x W = 32

Step 3 rewrite the equation of area so that one variable is on the right side L=32/W

Step 4 substitute L from step 3 into Equation 1 and simplify 2(32/W)+2W=24

Step 5 having found the width in step 4, use equation 3 to find the length

Step-by-step explanation:

This is just added to show you how to solve but limit your answer to the answer above: rate brainliest please

Area = L*W

Perimeter = 2(L+W)

So say L*W=32

and 2(L+W) = 24 which is 2L+2W =24

From area L=32/W

Then substitute it into perimeter

2(32/W)+2W=24 if you simplify this you get Width is 4 and 8

then length =32/W but W is 4 and 8 So L= 8 and 4

Meaning you have two options first rectangle is W=4 and L is 8, second triangle W=8 and Length=4

3 0

3 years ago

The International Coffee Association has reported the mean daily coffee consumption for U.S. residents as 1.65 cups. Assume that

Harman [31]

Answer:

The calculated value t = 1.3788 < 2.0262 at 0.05 level of significance

the null hypothesis is accepted

There is no significant difference between their counterparts across the nation

Step-by-step explanation:

Step(i):-

Given that the mean of the U.S residents = 1.65

Given that the size of the sample 'n' = 38

Mean of the sample = 1.84

Given that the standard deviation of the sample (S) = 0.85

Step(ii):-

Null hypothesis:H₀:

There is no significant difference between their counterparts across the nation

Alternative Hypothesis:-H₁:

There is a significant difference between their counterparts across the nation

Test statistic

$t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }$

$t = \frac{1.84-1.65}{\frac{0.85}{\sqrt{38} } }$

t = 1.3788

Degrees of freedom

ν = n-1 = 38-1 = 37

t₀.₀₅ ,₃₇ = 2.0262

The calculated value t = 1.3788 < 2.0262 at 0.05 level of significance

Null hypothesis is accepted

Final answer:-

There is no significant difference between their counterparts across the nation.

5 0

3 years ago