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jasenka [17]
3 years ago
6

Which function represents the graph of y=4^x −1 ? q r s t

Mathematics
1 answer:
max2010maxim [7]3 years ago
5 0

y=4^x −1

x intercept is the point when y = 0, so you sub in 0 for y:

0 = 4^x - 1

4^x = 1

Any number excluding 0 that is raised to the the exponent 0 always equals 1, 0^0 is undetermined.

x = 0

x intercept = (0,0)

If the x intercept is at the origin (0,0) than the y intercept is also (0,0)

s is the only line that passes through (0,0)

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Find the inverse of each of the given functions.
Leona [35]

Answer:

The inverse of the function is (3x+4)/2

Step-by-step explanation:

To find the inverse, exchange x and y and then solve for y

y = (2x-4) /3

Exchange x and y

x = (2y-4)/3

Solve for y

Multiply each side by 3

3x = (2y-4)/3 *3

3x =2y-4

Ad 4 to each side

3x+4 = 2y-4+4

(3x+4) =2y

Divide each side by 2

(3x+4)/2 =2y/2

(3x+4)/2 = y

The inverse of the function is (3x+4)/2

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2 years ago
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Can someone help with this
Zinaida [17]

Answer:

C and E

Step-by-step explanation:

-2/3 = -0.66

so hence forth

2/3 = 0.66

- (2/3) = -0.66 and

2/-3 = -0.66

5 0
3 years ago
What is another way to write the equation 7/8x3/4=-6
prohojiy [21]

Another way to write the equation is 7x + 54 = 0

<h3>How to rewrite the equation</h3>

Given the equation;

\frac{7}{8}x + \frac{3}{4}  = -6

Find the LCM on the left side, which is 8

\frac{7x + 6}{8}  = -6

Cross multiply

7x + 6 = -6 × 8

7x + 6 = -48

Collect like terms

7x = -48 - 6

7x = -54

Take all to one side

7x + 54 = 0

Thus, another way to write the equation is 7x + 54 = 0

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2 years ago
What is the value of z? ( please help)
maxonik [38]

Answer:

z = 1

Step-by-step explanation:

See the diagram of the triangle attached to this question.

We know the property of angles of a triangle as if we sum any two interior angles then we will get the opposite exterior angle.

Hence,  

42z + 37 = 40z + (26z + 13)

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⇒ 37 - 13 = 66z - 42z

⇒ 24 = 24z

⇒ z = 1 (Answer)

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