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kirill115 [55]
2 years ago
8

Which values of a and b in the exponential function y = a times b Superscript x would result in the following graph? On a coordi

nate plane, a curve approaches the x-axis in quadrant 3 and then decreases down through (0, negative 3) to quadrant 4. a. a = -3, b = 2 c. a = 3, b = 2 b. a = -1, b = 3 d. a = 2, b = -3 Please select the best answer from the choices provided A B C D
Mathematics
2 answers:
Sav [38]2 years ago
7 0

Answer: a=-3 b=2

Step-by-step explanation:

galina1969 [7]2 years ago
6 0

Answer:

a =-3    b =2

Step-by-step explanation:

Given

y = ab^x

(x_1,y_1) = (0,-3)

Required

Find a and b

Substitute (x_1,y_1) = (0,-3) for x and y in y = ab^x

-3 = ab^0

-3 = a * 1

-3 = a

Rewrite as:

a =-3

The above implies that (a) is correct;

Hence:

a =-3    b =2

So, the equation is:

y = -3(2)^x

You might be interested in
• 6x – 15y = 15<br> y=2 x - 1<br> 5
yuradex [85]

Answer:

Slope=  

2.000

0.800

​  

=0.400

x−intercept=  

2 /5

​  

=2.50000

y−intercept=  

−5 /5

​  

=  

−1

1

​  

=−1.00000

Step-by-step explanation:

STEP

1

:

Pulling out like terms

1.1     Pull out like factors :

  6x - 15y - 15  =   3 • (2x - 5y - 5)  

Equation at the end of step

1

:

STEP

2

:

Equations which are never true

2.1      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

2.2     Solve   2x-5y-5  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  2x-5y-5  = 0 and calculate its properties

8 0
3 years ago
7.1.35-T Question Help You are the operations manager for an airline and you are considering a higher fare level for passengers
shusha [124]

Answer:

You must survey 784 air passengers.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Assume that nothing is known about the percentage of passengers who prefer aisle seats.

This means that \pi = 0.5, which is when the largest sample size will be needed.

Within 3.5 percentage points of the true population percentage.

We have to find n for which M = 0.035. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.035 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.035\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.035}

(\sqrt{n})^2 = (\frac{1.96*0.5}{0.035})^2

n = 784

You must survey 784 air passengers.

6 0
3 years ago
What is 4 6/8+11 1/3
aivan3 [116]
So 4 6/8= (32/4)+6/8=38/8
11 1/3=(33/3)+1/3=34/3
so 38/8+(34/3)

to add you must get the bottom number equall so

114/24+272/24=386/24=16 1/12
6 0
3 years ago
Read 2 more answers
Joan bought a shirt for 25.50 and the sales tax was 6 % what was the total price she paid for the shirt ​
SIZIF [17.4K]

The total price she paid for the shirt was $27.03

7 0
3 years ago
How do I solve this using the system of equations?
Westkost [7]

Answer:

length: 16 m; width: 13 m

Step-by-step explanation:

Write each of the statements as an equation. You know that the formula for the perimeter is ...

P = 2(L +W)

so one of your equations is this one with the value of P filled in:

• 2L + 2W = 58

The other equation expresses the relation between L and W:

• L = W +3 . . . . . . . . the length is 3 meters greater than the width

There are many ways to solve such a system of equations. Since you have an expression for L, it is convenient to substitute that into the first equation to get ...

2(W+3) +2W = 58

4W +6 = 58 . . . . . . . simplify

4W = 52 . . . . . . . . . . subtract 6

W = 13 . . . . . . . . . . . .divide by 4

We can use the expression for L to find its value:

L = 13 +3 = 16

The length is 16 meters; the width is 13 meters.

6 0
3 years ago
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