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3 years ago

Which exponential function is graphed here?

Mathematics

1 answer:

jek_recluse [69]3 years ago

4 0

Answer:

y = 5^x

Step-by-step explanation:

y= b*(a)^x + c

c could = 1 but then you would not have an exponential function. c = 0 because the graph follows the x axis up until x = -2. Suppose c = 1. The the graph would follow y = 1 up until x = - 2

When x = 0, y = 1 which means that b. If b is anything but 0 or 1 then the y intercept would be stretched to a different place. If be = 0 then y would = 0.

So the graph is of the form y = a^x

Now when x = 0 the graph, the y intercept is y = a^0 or y = 1 So the y intercept is (0,1)

Now the next point is thing to solve for is a.

When x = 1, y = 5 (read the graph)

y = a^x

5 = a^1

5 = a because a^1 is a.

Answer

y = 5^x.

5 = a^1

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Mrs. Johnson’s class sold cookies for $2.50 each and Mr. Smith’s class sold popcorn for $1.50 each. Together, the classes sold 5

sashaice [31]

Answer:

(a) Mrs. Johnson’s class sold 26 cookies, Mr. Smith’s class sold 27 popcorn.

(b) Mrs. Johnson’s class earned $\$65.$ Mr. Smith’s class earned $\$40.5.$ Hence, Mrs. Johnson’s class earned more.

Step-by-step explanation:

Let x be the number of cookies Mrs. Johnson’s class sold and y be the number of popcorn Mr. Smith’s class sold.

(a) If Mrs. Johnson’s class sold x cookies for $2.50 each, then they earn $2.50x. If Mr. Smith’s class sold y popcorn for $1.50 each, then they earn $1.50y. In total, $2.50x+$1.50y=$105.50.

Together, the classes sold 53 items, then x+y=53.

You get the system of two equations:

$\left\{\begin{array}{l}x+y=53\\ \\2.5x+1.5y=105.5\end{array}\right.$

Solve it

$\left\{\begin{array}{l}x+y=53\\ \\2.5x+1.5y=105.5\end{array}\right.\Rightarrow \left\{\begin{array}{l}x=53-y\\ \\2.5(53-y)+1.5y=105.5\end{array}\right.,$

$132.5-2.5y+1.5y=105.5,\\ \\132.5-105.5=2.5y-1.5y,\\ \\y=27,\\ \\x=53-27=26.$

(b) Mrs. Johnson’s class earned $\$2.50\cdot 26=\$65.$ Mr. Smith’s class earned $\$1.50\cdot 27=\$40.5.$ Hence, Mrs. Johnson’s class earned more.

8 0

3 years ago

When solving the equation 2/3 b 5 = 7, you should first ? from both sides. Then you should multiply both sides by the ? of ?. Yo

Tju [1.3M]

Depends on the question...

If your question is 2/3b + 5 = 7, then follow this one
$\frac{2}{3}b + 5 = 7\\\\\sf You~ first~subtract~ 5 ~on ~both~ sides\\\\Then ~you~multiply~by~\frac{3}{2}~on~both~sides.\\\\ So...\\\\ \frac{2}{3}b + 5 - 5 = 7 - 5\\\\\frac{2}{3}b = 2\\\\\frac{2}{3}b \times \frac{3}{2} = 2 \times \frac{3}{2}\\\\b = 3$
Your final answer will be b = 3

If your question is 2/3b - 5 = 7, then follow this one
$\frac{2}{3}b - 5 = 7\\\\\sf You~ first~add~ 5 ~on ~both~ sides\\\\Then ~you~multiply~by~\frac{3}{2}~on~both~sides.\\\\ So...\\\\ \frac{2}{3}b - 5 + 5 = 7+5 \\\\\frac{2}{3}b = 12\\\\\frac{2}{3}b \times \frac{3}{2} = 12 \times \frac{3}{2}\\\\b =18$
Your final answer will be b = 18

3 0

3 years ago

Patricia needs 2 pints of purple icing to decorate cupcakes. She will use the following recipe for 1 pint of purple icing.

Lerok [7]

Answer:

double

Step-by-step explanation:

double the teaspoons so you can get the amount you need for 2 pints

double the amount and then divided it

4 0

3 years ago

Help me with the unanswered ones pleeeease!

Nesterboy [21]

15. 6 - -3 = 6 + 3 = 9. Answer: 9 degrees C

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19. 130 - -110 = 130 + 110 = 240. Answer: 240 degrees C

3 0

3 years ago

Reflect across the y-axis

Ludmilka [50]

Answer:

z- (2,-4)

y-(4,1)

x- (5,1)

w - (5,-3)

Step-by-step explanation:

3 0

4 years ago