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DerKrebs [107]
3 years ago
12

Which function has a range of y < 3? y = 3 (2) Superscript x y = 3 (3) Superscript x y = negative (2) Superscript x Baseline

+ 3 y = (2) Superscript x Baseline minus 3

Mathematics
1 answer:
marusya05 [52]3 years ago
7 0

Answer:

  y = negative (2) Superscript x Baseline + 3

Step-by-step explanation:

An exponential function has a range of y > 0. In order for it to have a range of y < 3, it must be reflected across the x-axis (given a negative multiplier) and must be translated upward 3 units.

That is, for some exponential function y = b^x, you must have something of the form ...

  y = -a·b^x +3

Only one answer choice has this form:

  \boxed{y=-2^x+3}

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Find the distance between Point A (9, -3) and Point B (16,<br> 7), correct to 2 decimal places.
sleet_krkn [62]

Answer:

8.06

Step-by-step explanation:

use distance formula

5 0
3 years ago
Find a1 if Sn = 89,800, r = 3.4, and n = 10. Round to the nearest hundredth if necessary.
xxMikexx [17]

Answer:

a_1=1.04

Step-by-step explanation:

We have a geometric  sequence with:

Sn = 89,800, r = 3.4, and n = 10

Where

Sn is the sum of the sequence

r is the common ratio

a_1 is the first term in the sequence

n is the number of terms in the sequence

The formula to calculate the sum of a finite geometric sequence is:

S_n=\frac{a_1(1-r^n)}{1-r}

Then:

89,800=\frac{a_1(1-(3.4)^{10})}{1-3.4}

Now we solve for a_1

89,800(1-3.4)=a_1(1-(3.4)^{10})

a_1=\frac{89,800(1-3.4)}{1-(3.4)^{10}}\\\\a_1=1.04

4 0
3 years ago
Which of the following does NOT describe a rational number? A- Non-repeating decimal B- Perfect square (ex: square root of 4) C-
alexandr1967 [171]

Answer:

Non-repeating decimal

Step-by-step explanation:

As a example, 32.93729, would be a never ending number. Which means it's not a rational number, it is a irrational number.

6 0
3 years ago
Read 2 more answers
A chef uses 8 1/2 cups flour for his gig nine 3/4 cup flour for his pies and 25 2/3 cups flour for his bread will he have any fl
katen-ka-za [31]

Answer:

50-25 2/3 - 9 3/4 - 8 1/2 = 6 1/12

Step-by-step explanation:

To do this without a calculator you need to get common denominator

a good choice would be 12 for the common denominator

50 x 12 = 600

25 x 12 = 300

convert to 2/3 to x/12, multiply top and bottom by 4

2/3 x 4 = 8/12

add this to the 300 to get 308/12

same with the other terms

9 x 12 = 108

convert 3/4 to x/12, multiply top and bottom by 3

3/4 x 3 = 9/12

add this to the 108 to get 117/12

and do the same for the 8 1/2

8x 12 = 96

convert 1/2 to x/12, multiply top and bottom by 6

1/2 = 6/12, add this to the 96

do the subtraction and simplify

8 0
3 years ago
The function d(s) = 0.0056s squared + 0.14s models the stopping distance
victus00 [196]

Answer:

The car must have a speed of 25 kilometres per hour to stop after moving 7 metres.

Step-by-step explanation:

Let be d(s) = 0.0056\cdot s^{2} + 0.14\cdot s, where d is the stopping distance measured in metres and s is the speed measured in kilometres per hour. The second-order polynomial is drawn with the help of a graphing tool and whose outcome is presented below as attachment.

The procedure to find the speed related to the given stopping distance is described below:

1) Construct the graph of d(s).

2) Add the function d = 7\,m.

3) The point of intersection between both curves contains the speed related to given stopping distance.

In consequence, the car must have a speed of 25 kilometres per hour to stop after moving 7 metres.

4 0
3 years ago
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