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Svetlanka [38]
3 years ago
11

If the graph is reflected across the y-axis, what will be the equation of the new graph?

Mathematics
2 answers:
Alexxandr [17]3 years ago
6 0

Step-by-step explanation:

If the graph is reflected across the y-axis, what will be the equation of the new graph?

a) y=-3^-x+1

b) y=3^-x+1

c) y=-3^x-1

d) y=-3^x+1

Bumek [7]3 years ago
5 0

Answer:

\displaystyle b)y =  { 3}^{ - x}  + 1

Step-by-step explanation:

we are given a exponential function

\displaystyle y =  {3}^{x}  + 1

we want to figure out the equation of the new graph reflected across the y-axis

remember that,

\rm\displaystyle (x,y) \xrightarrow{ \text{ reflection  over  y - axis}}( - x,y)

let y be 3^x+1 so,

\rm\displaystyle (x,y) \xrightarrow{ \text{ reflection  over  y - axis}}( - x, {3}^{ - x} + 1 )

hence,

the equation of the new graph

\displaystyle y =  { 3}^{ - x}  + 1

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The American Academy of Periodontology released a survey, revealing that 27% of US adults admit they lie to their dentist about
Y_Kistochka [10]

Answer:

A: H0: p = 0.27; Ha: p > 0.27

Step-by-step explanation:

The parameter is the population proportion.

According to the survey conducted by the American Academy of Periodontology, the proportion of of US adults who admit they lie to their dentist about how often they floss their teeth is 27%.

This means the null hypothesis is :

H_0: p=0.27

Periodontist Dr. Garcia believes that the percentage seems low, so his claim is that the percentage should be more than 27%.

This means, the alternate hypothesis is

H_{a}:p \: > \: 0.27

Therefore the correct choice is A.

5 0
3 years ago
Write the equation of the line that passes through the points (2, 3) and (3, -7). Put
FrozenT [24]

Answer:

y - 3 = -10 (x-2)

Step-by-step explanation:

The point-slope formula is y-y_1 = m (x-x_1). When knowing the slope of a line and a point it intersects, we can write its equation with that formula. Substitute m, x_1, and y_1 for real values.

1) First, find m, or the slope. Use the slope formula m = \frac{y_2-y_1}{x_2-x_1} and substitute the x and y values of the given points. Then, solve:

m = \frac{(-7)-(3)}{(3)-(2)} \\m = \frac{-7-3}{3-2} \\m = \frac{-10}{1} \\m = -10

Therefore, the slope of the line is -10.

2) Now, substitute the needed real values into the point-slope formula, y-y_1 = m (x-x_1). Since m represents the slope, substitute -10 in its place. Since x_1 and y_1 represent the x and y values of a point the line crosses, choose any of the points given and substitute its values into the formula. (Either one is fine, they both equal the same thing. I chose (2,3).) This will give the following answer and equation:

y - 3 = -10 (x-2)

7 0
3 years ago
It takes Ty 4 hours 30 minutes to read his favorite book, reading at a constant rate of 100 pages
AysviL [449]

Answer:

540 pages

Step-by-step explanation:

100 pages = 50 mins

??? pages = 270 mins (converted 4hrs 30 mins to minutes)

Now you could cross multiply to find what the number of pages are:

100 pages x 270  mins = 50 mins x ??? pages

27000 = 50 mins x ??? pages

27000/50 = ??? pages

540 = ??? pages

So there are 540 pages in his favourite book.

8 0
3 years ago
5/12 - 1/4 equals help I'm so confused
Ivenika [448]
1/4= 3/12 so it would be 5/12-3/12= 2/12
2/12= 1/6
3 0
3 years ago
Read 2 more answers
If a truck averages 12 miles to the gallon, how many pounds of carbon dioxide are emitted into the atmosphere when the truck tra
77julia77 [94]

Answer: 278.30 pounds (if the gasoline does not contain ethanol)

317.12 pounds (if the gasoline does contain ethanol)

Step-by-step explanation:

If the truck averages 12 miles per gallon, then in 170 miles it consumes:

170mi/12mi = 14.17 gallons.

We know that for one gallon consumed, the carbon dioxide emitted into the atmosphere is 19.64 pounds. (assuming it does not contain ethanol)

Then for 14.17 gallons consumed, we have a emission of:

14.17*19.64 pounds = 278.30 pounds

I the gasoline contains ethanlol, for a gallon the emiision is around  22.38 pounds.

In this case the total emission is:

14.17*22.38 pounds = 317.12 pounds

3 0
3 years ago
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