[Exponential] |x|-2|-1|0|1|2| |y|2/9|2/3|2|6|18| When the x-value increases by 1, the y-value ________ (b-value)

Answers

Answer 1

Answer:

[tex]b = 3[/tex]

The value of y triples

Step-by-step explanation:

Given:

[tex]\begin{array}{cccccc}x & {-2} & {-1} & {0} & {1} & {2} \ \\ y & {\frac{2}{9}} & {\frac{2}{3}} & {2} & {6} & {18} \ \end{array}[/tex]

Required

Determine b value

An exponential equation is:

[tex]y = ab^x[/tex]

When [tex]x = 0; y =2[/tex]

So:

[tex]y = ab^x[/tex]

[tex]2 = a * b^0[/tex]

[tex]2 = a[/tex]

[tex]a = 2[/tex]

When [tex]x = 2; y = 18[/tex]

So:

[tex]18 = a * b^2[/tex]

Substitute 2 for a

[tex]18 = 2 * b^2[/tex]

Divide by 2

[tex]9 = b^2[/tex]

Take positive square roots of both sides

[tex]3 = b[/tex]

[tex]b = 3[/tex]


Related Questions

what is 83,310.5 millimeters as centimeters? please answer 6th grade math

Answers

Answer:

8.3 centimeters

Step-by-step explanation:

Answer:

8331.05

Step-by-step explanation:

i hope this helps :)

What is the correct answer choice?

Answers

Answer:

G

Step-by-step explanation:

389 / 106
Round off to the nearest whole number ​​

Answers

Answer:

thi is the answer 3.66981132

Step-by-step explanation:

u just divided it

1 1/2 - 2/5 ÷ 4 2/5 × 3/4​

Answers

Answer:

1 19/44 (1.4318182)

Answer:

1 19/44

Step-by-step explanation:

Aiden and Haisem are going to eat the same amount of hamburgers and fries, but from different restaurants. Aiden goes to Burger King and spends $4.75. Each burger costs $1.25 and fries cost $0.50. Haisem spends $6.48 at McDonalods. Each burger costs $1.50 and fries cost $0.99. How many burgers and fries did Aiden and Haisem each buy?

Answers

Answer:

the burgers be 3 and fries be 2

Step-by-step explanation:

The computation is shown below:

Let us assume burgers be x

And, the fries be y

Now according to the questiojn

1.25x + 0.50y = $4.75

1.50x + 0.99y = $6.48

Now multiply by 1.2 in the first equation

1.50x + 0.6y = $5.70

1.50x + 0.99y = $6.48

-0.39y = -0.78

y = 2

Now put the value of y in any of the above equation

1.25x + 0.50(2) = $4.75

x = 3

Hence, the burgers be 3 and fries be 2

Simplify the expression:
10 + 10j – 9

Answers

10+ 10 = 20j

20j- 9= 11

The answer is 11 or if in the quiz it is 11j

Hope this helps

A jet pilot flew a distance of 3,311 mi in 5 hour and 30 min. Find the planes average rate of speed. Please Help me! I would really appreciate it if someone helped me as soon as possible. Can you also explain how you got your answer?

Answers

Answer: 602 miles

Step-by-step explanation:

The average rate of speed is calculated by the formula;

= Distance / Time

You need to convert the time into hours. Time is 5 hours 30 mins.

Convert those minutes to hours:

1 hour is 60 minutes so 30 minutes would be:

= 30 / 60

= 0.5 hours

Total time = 5 hours + 0.5 hours

= 5.5 hours

Now go back to speed equation:

Speed = 3,311 / 5.5

= 602 miles

It takes 9 hours for 8 men to paint a room.
How many men would be needed to paint the room in 4 hours?​

Answers

Answer:

4.5 just put 5

Step-by-step explanation:

9 divided by 8 = 1.125

1.125 × 4 = 4.5

I need help on some of my math

Answers

Answer:

true

Step-by-step explanation:

i hope this helps :)

a coin is tossed and a dice is rolled. What is the probability of getting tails with rolling a 2?

Answers

Answer:

50% for the coin and 1/6 chance for the dice

What is the value of the expression?

Answers

Answer:

6s2

= 6(2)2

= 12 × 12

= 144

: The value of the expression is equal to 144

Mrs. Baxter deposits $2000 in an account that earns 5% interest. How much is Mrs. Baxter's investment worth after 8 years

Answers

Answer:

2954.91088758

Step-by-step explanation:

exact answer

Find the radius of a circle with a circumference of 94.25ft

Answers

Answer: approximately 15

Step-by-step explanation:

Answer:

radius = 5.48ft

Step-by-step explanation:

The formula for the circumference of a circle is: C = πr² or pie times the radius squared.

Now that we know this, we can plug in the equation.

94.25 = πr²

÷π         ÷π

30 = r²

√30 = √r²

5.48 = r

So, the radius of the circle is 5.48 ft

What are some real-world scenarios for the Pythagorean theorem?

Answers

Answer:

There are loads, but for example you can find the diagonal from a lamppost the the end of its shadow if you know the height of the post and the length of the shadow.

Hope I helped x

can someone help me plz ??

Answers

Answer: c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

soylindo del 1 al 10​

Answers

Answer:

6.5

Step-by-step explanation:

will give brainliest: how do i solve this??

Answers

Answer:

Step-by-step explanation:

-y = -5x + 7

y = 5x - 7

perp.: -1/5

y - 2 = -1/5(x + 8)

y - 10/5 = -1/5x - 8/5

y = -1/5x + 2/5

Write the standard equation of a circle with center (-2, -1) and radius 2.

Answers

Answer:

(x+2)^2+(y+1)^2=4

Step-by-step explanation:

(x-h)^2+(y-k)^2=r^2 is the standard equation for a circle

Plug in point at (h,k) Negative points= positive in equation due to (x-h),(y-k) All equal to radius squared

A salesperson earns a base salary of $32,500 per year plus a commission of 8% on total sales. Her total sales for one year were $450,000. Find the salesperson's total pay for the year.

Answers

The salesperson's total pay for the year is $68500

How to determine the total pay?

The given parameters are:

Base pay = $32,500

Commission = 8%

Total Sales = $450,000

The total pay is calculated as:

Total = Base pay + Commission * Total Sales

This gives

Total = $32,500 + 8% * $450,000

Evaluate

Total = $68500

Hence, the salesperson's total pay for the year is $68500

Read more about commission at:

https://brainly.com/question/21684918

#SPJ1

Dots sells a total of 290 T-shirts ($2) and shorts ($4) . In April, total sales were $678. How many T-shirts and shorts did Dots sell?

Answers

Answer:

241 t-shirt and 49 short

Step-by-step explanation:

lets call shorts x and tshirts y

x+y=290 (first equation)

4x+2y=678 (second equation) { we multiply the price of short with the short so we can get the pieces sold and also with the t-shirt to get the pieces sold)

x=290-y

and substitute it with x in the second equation

4(290-y)+2y=678 then till u get to y=241 (the pieces sold)

290-241=49 (pieces sold)

so as proof 49+241=290 pieces sold

as proof also 4*49=196 price of all shorts sold

2*241=482 price of all t-shirts sold then add them together and u will get 196+482=678$


Chloe is planning an event and purchasing floral arrangements. At Petals Plus, the arrangements cost $35.17 each, and the store
charges $67.00 for delivery of the flowers to the event site. At Blooms, the arrangements cost $25.03 each, and the store charges
$108.00 for delivery of the flowers to the event site.
How many arrangements should she purchase from Blooms in order to get a better value?
OA. 3
OB. 5
OC. 1
OD. 4

Answers

Answer: You would need at least 5 arrangements to make Blooms a better deal

Step-by-step explanation:

Petals Plus

y= 35.17x+67

Blooms

y= 25.03x+108

35.17x+67 =25.03x+108

10.14x= 41

x= 4.05


Describe the pattern, write the next term, and write a rule for the nth term of the sequence,

-15,-24,-33,-42

Please show work

Answers

Step-by-step explanation:

Next term is - 51

Use formula Tn=a+(n-1)d

a=the first term of the sequence which is - 15

d=the difference between the terms which is - 9

Substitute

Tn=-15+(n-1)(-9)

Tn=-15+9-9n

Tn=-9n-6

From this you will be able to generate all the terms in the pattern

If they say determine the 50th term just substitute 50 by n

Tn=-9(50)-6

Tn=-450-6

Tn=-456

1 p
1.) On Tuesday at lunchtime, it was 29°C. By sunset, the temperature had
dropped to 16°C. How much did the temperature change by?

Answers

Answer:

Expression is; 29 - x = 16

Step-by-step explanation:

 

I've attached an image showing the number line

Step-by-step explanation:

We are told that at lunchtime, it was 29 degrees Celsius and that by sunset, the temperature had dropped to 16 degrees Celsius.

Let the drop be x.

Thus;

29 - x = 16

I've attached an image showing the number line

Which is an equation for the line shown?
A) y = 3
B) x = 3
C) y=-3
D) x = -3

Answers

Answer:

The equation for the line shown is

C) y=-3

24 less than the number of snakes is 35.​

Answers

This doesn’t make sense..... elaborate

Graph + > -1.
+
3
-5
+
4 5
-4
-3
-2
-1
0
1
2
Switch direction
Make circle open

Answers

You have the right idea but the endpoint is at the wrong location. Instead, the green dot should go at -1. The shading is to the right. We use a closed filled in circle here (instead of an open hole) to tell the reader "include the endpoint". So -1 is part of the solution set.

In short, the graph consists of a closed filled in circle at -1 with shading to the right. This visually describes all values that are larger than -1, or equal to -1.

the actor is 10

your welcome

Is 1.4, 4.8, 5 a right triangle?

Answers

Answer:

Yes it is possible

Step-by-step explanation:

These problems are so confusinggggggg

Answers

Answer:

C (both)

step by step explanation:

Answer:

C. Both (1, 11) and (-1, -5)

Step-by-step explanation:

y = 8x + 3

Substitute the values of (x, y)

(1, 11)

11 = 8*1 + 311 = 11yes

(-1, -5)

-5 = 8(-1) + 3-5 = -8 + 3-5 = -5 yes

Both pairs are solutions

Correct choice is C

1+1
Please help this is worth 80% of my grade

Answers

Answer:

2

Step-by-step explanation:

Answer:

2.

Step-by-step explanation:

So you take your numbers, 1 and 1.

You add them together 1+1.

You have your answer, 2.

eu preciso de ajuda pfvr:(

Answers

I’m not a true percent sure but I think it’s C
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