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Anvisha [2.4K]
3 years ago
6

What is the transformation that occurs to the equation y=2^x if it changes to y=2^x-3

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
4 0
     The parent function is: y = 2^x and it it transformed to: y = 2^x - 3. Both are exponential functions. First we can find the value of y, when x = 0.      For the 1st function:      y = 2^0 = 1      For the 2nd function:      y = 2^0 - 3 = 1 - 3 = - 2      We can conclude that the 2nd value of y is 3 units lower than the first.      Answer:      This transformation is translation 3 units down.

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The dot plot represents a sampling of ACT scores: dot plot titled ACT Scores with Score on the x axis and Number of Students on
Yakvenalex [24]

Answer:

box plot titled ACT Score with a minimum of 24, quartile 1 of 27, median of 28, quartile 3 of 30, and maximum of 35

Step-by-step explanation:

The scores of the students represented on the dot plot are:

1 dot => 24

3 dots => 26, 26, 26

3 dots => 27, 27, 27

5 dots => 28, 28, 28, 28, 28

3 dots => 30, 30, 30

3 dots => 32, 32, 32

1 dot => 35

Quickly, we can ascertain 3 values from these data points of which we can use to find out which box plot represents the dot plot data.

The minimum score = 24

The maximum score = 35

The median score is the 10th value, which is the middle value of the data point = 28

Therefore, we can conclude that: "box plot titled ACT Score with a minimum of 24, quartile 1 of 27, median of 28, quartile 3 of 30, and maximum of 35".

6 0
3 years ago
Find the balance in an account at the end of 8 years if $6000 is invested at an interest rate of 4.2% that is compounded continu
tester [92]

Answer:

$8016.00

Step-by-step explanation:

I = 6000 × 0.042 × 8 = 2016

I = $ 2,016.00

$2,016.00 + $6,000.00 = 8,016.00

7 0
2 years ago
Can someone please answer?
gtnhenbr [62]

Answer:

The answer is 24

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
alex walked 1 mile in 15 minutes. Sally walked 3520 yards in 24 minutes . in miles per hour , how much faster did sally walk tha
yaroslaw [1]

dhnduendienzjsud eueudujreuendje

4 0
3 years ago
HI CAN SOMEONE PLZ HELP ME I HAVE NO CLUE HOW TO DO THIS SOS. THANKS SM!!!❤️❤️❤️
Kitty [74]

Problem 1)

This question is incomplete. It asks us to find something, but doesn't say what to find. It's literally blank after the word "find" which suggests your teacher made a typo. Please get back to me on this. Thanks.

===================================

Problem 2)

Angles GAR and GAT are supplementary because they are a linear pair. They form a straight angle. So we add up the expressions of x for each of these angles, solve for x, and use this to find angle GAR.

(angle GAR) + (angle GAT) = 180

(5x) + (3x+4) = 180

8x+4 = 180

8x+4-4 = 180-4

8x = 176

8x/8 = 176/8

x = 22

Note: now that I reached this point I realize that this might be the answer to problem 1; however, I'm not 100% sure because of the incomplete problem.

Use this x value to find angle GAR

angle GAR = 5*x

angle GAR = 5*22

angle GAR = 110

Unfortunately this answer isn't listed. I'm thinking your teacher made another typo.

===================================

Problem 3)

Answer: angle GAR and angle ABQ are corresponding angles.

Thankfully this answer is listed. Corresponding angles are angles that are on the same side of the transversal line and they are either both above or below the parallel lines they are next to. In this case, they are both above the parallel line counerparts.

===================================

Problem 4)

Corresponding angles are congruent as long as we have a set of parallel lines. So that means angle ABQ is equal to angle GAR. So angle ABQ is also 110 degrees

===================================

Problem 5)

angle BAT = angle GAR,  because they are vertical angles

angle BAT = 110

angle BAT = (angle BAD) + (angle DAT)

(angle BAD) + (angle DAT) = angle BAT

(100) + (angle DAT) = 110

angle DAT = 110-100

angle DAT = 10

angle ADB = angle DAT,  because they are alternate interior angles

angle ADB = 10

--------

Final Answer: 10 degrees


5 0
3 years ago
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