The graph of an exponential function is shown. Based on this graph, which statement about the function is true? A) The range is the set of all real numbers less than –3. B) The domain is the set of all real numbers less than –3. C) The range is the set of all real numbers greater than –4. D) The domain is the set of all real numbers greater than –4.

Answer:

Ok so i think you can just count it i dont know; edit : i counted, it turns out the answer is 15 :)

Answer:

Between 0 and 1 there is 12, between 1 and 2 there is 112=3/2, and so on. In fact, there are infinitely many fractions between any two whole numbers. Let's see why. Between 0 and 1 there are also 13, 14, 15, and any number that can be written as 1n where n is some whole number.
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Answer:

20 m/hr

Step-by-step explanation:

distance / rate = time

24 miles / 9 miles/hr  = 2 2/3 hr

(24 + 20 miles) / 12 miles/hr = 3 2/3 hr

3 2/3  -  2 2/3 = 1 hour to ride the next 20 miles   means  20 m/hr

Answer:

Step-by-step explanation:

You are being asked to read the coordinates of several points from the graph. Each set of coordinates is an (x, y) pair, where the first coordinate is the horizontal distance to the right of the y-axis, and the second coordinate is the vertical distance above the x-axis. The distances are measured according to the scales marked on the x- and y-axes.

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The vertex is the low point of the graph. The graph is horizontally symmetrical about this point. On this graph, the vertex is (3, -1).

The y-intercept is the point where the graph crosses the y-axis. On this graph, the y-intercept is (0, 8).

The x-intercepts are the points where the graph crosses the x-axis. You will notice they are symmetrically located about the vertex. On this graph, the x-intercepts are (2, 0) and (4, 0).

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Additional comment

The reminder that these are "points" is to ensure that you write both coordinates as an ordered pair. We know the x-intercepts have a y-value of zero, for example, so there is a tendency to identify them simply as x=2 and x=4. This problem statement is telling you to write them as ordered pairs.

Answer:

Option D, [tex]f =[/tex] ± [tex]4.12[/tex]

Step-by-step explanation:

Step 1:  Subtract 153 from both sides

[tex]-9f^2 + 153 = 0[/tex]

[tex]-9f^2 + 153 - 153 = 0 - 153[/tex]

[tex]-9f^2 = -153[/tex]

Step 2:  Divide both sides by -9

[tex]\frac{-9f^2}{-9} = \frac{-153}{-9}[/tex]

[tex]f^2 = 17[/tex]

Step 3:  Square root both sides

[tex]\sqrt{f^2} = \sqrt{17}[/tex]

[tex]f =[/tex] ± [tex]4.12[/tex]

Answer: Option D, [tex]f =[/tex] ± [tex]4.12[/tex]

Answer:

m = 3a

Step-by-step explanation:

The number of pieces of candy eaten by Alex is not important.

The only thing that matters is that Marisol eats 3 times as many pieces of candy.

If a is the number eaten by Andy, then 3 times a equals the number of pieces of candy eaten by Marisol, or m=3a

Answer:

1. No sol.

2. One Sol. x=4

3. One Sol. w=22 1/2

Step-by-step explanation:

1.

Group like terms:

4+3p=6p-3p+5

Add similar elements (6p-3p=3p):

4+3p=3p+5

Subract 4 from both sides:

4+3p-4=3p+5-4

Simplify:

3p=3p+1

Subtract 3p from both sides:

3p-3p=3p+1-3p

Simplify:

0=1

There is no solution.

2.

One Sol. x=4

Switch sides:

3x-2=10

Add 2 to both sides:

3x-2+2=10+2

Simplify:

3x=12

Divide both sides by 3:

3x/3=12/3

Simplify:

x=4

There is a solution.

3.

One Sol. w=22 1/2

Subtract 7 from both sides:

2/3w+7-7=22-7

Simplify:

2/3w=15

Multiply both sides by 3:

3*2/3w=15*3

Simplify:

2w=45

Divide both sides by 2:

2w/2=45/2

Simplify:

w=22 1/2

There is one sol.

Answer:

Step-by-step explanation:

For mixture problems, it is convenient to let the variable represent the quantity of the high-value contributor.

Here, we can let x represent the number of quarters. Then the number of nickels is (52-x), and the total value of the coins is ...

  0.25x +0.05(52 -x) = 6.40

  0.20x +2.60 = 6.40 . . . . . . . . simplify

  0.20x = 3.80 . . . . . . . . . . . subtract 2.60

  x = 3.80/0.20 = 19 . . . . divide by the coefficient of x

The number of quarters is 19. The number of nickels is 52-19 = 33.

Step-by-step explanation:

If you were to round 398 to the nearest hundred, you would get 400. that's only 2 off of 398. when you add 400 + 257 that would equal 857 because 4 + 2= 6 and then the other two digits on 400 are zeros so 5 and 7 stay the same. with 857, you must now subtract 2 because you added 2 earlier. 857 - 2 = 855.

Answer:

Step-by-step explanation:

you can think of it backwards,

-50 = 3x - 8y

x = 6y

X x 3 = 3x

6y x 3 = 18y

3x = 18y

18y - 8y = -50

10y = -50

y = -5

6 x -5 = -30

x = -30

Answer:

f(-2) = -3

Step-by-step explanation:

Step 1. Find equation

Step 2. Plug (-2) into f(x)

m, rise/run = (-2-0)/(0-4) = -2/-4 = 1/2

b, y-intercept = (0, -2)

y = 1/2x - 2

f(-2) = 1/2(-2) - 2

f(-2) = -1 - 2

f(-2) = -3

If you want to cheat, simply look for x = -2 on the graph and see where it touches the line. Then match the y-value and BOOM: (-2, -3), f(-2) = -3

Answer: A. Complex

Step-by-step explanation: hope this helps!

Answer:

I'm not sure if it's correct

Answer:

Using 3.14 for pi

SA =1808.64 cm^3

Using the pi button

SA =1809.557368 cm^3

Step-by-step explanation:

The surface area of a sphere is given by

SA = 4 pi r^2

We are given a radius of 12

SA = 4 pi ( 12) ^2

SA = 4 pi * 144

SA = 576 pi

Using 3.14 for pi

SA =1808.64 cm^3

Using the pi button

SA =1809.557368 cm^3

The length of DE in centimetres is 12 .

The following proportion can be established as follow:

AB / DE = BC  / EF = AC / DF

Therefore,

let's find DE as follows;

AB  / DE = BC / EF

4 / DE = 3 / 9

cross multiply

9 × 4 = 3DE

divide both sides by 3

DE = 36 / 3

DE = 12 cm

learn more: https://brainly.com/question/22808925?referrer=searchResults

Answer:

a = 60°

b = 3cm

Step-by-step explanation:

Congruent angles

Parallel/congruent sides

Answer:

a=120 b=3

Step-by-step explanation:

For A you use 180-60 so you will get 120 for answer.

For B line PQ is parallel to line SR so 3 will be the answer

Answer:

x=75

Step-by-step explanation:

99/66=1.5

30x1.5=45

30+45 =75

Answer:

- 3/2 x²y

Step-by-step explanation:

Multiply the numbers and constant separately.

constant means x any y.

( - 2/3 x ) ( 9/4 xy )

- 2/3 * 9/4 * x * xy

= ( - 2/3 * 9/4 ) * ( x * xy )

= ( - (2*9)/(3*9) ) * ( x²y )

= ( - 18/12 )* x²y

= - 3/2 x²y

Answer:60 pages

Step-by-step explanation:

first take away the zero then devide by 2 then add the zero the the number that your left with.

Answer:

1) 7420

2) 7865.5

Step-by-step explanation:

The Formula for Compound Intertst is Amout(rate/100+1)^number of years

7000(.06+1)^1

7000(.06+1)^2

Answer:

Step-by-step explanation:

Point P is marked in the expanded view on the 7th mark of the 10 marks between 5×10^-3 and 6×10^-3. That means it is representing ...

  (5 +7/10)×10^-3 = 5.7×10^-3 . . . . scientific notation

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The -3 exponent of 10 means the multiplier of the value is 1 in the 3rd place to the right of the decimal point: 0.001. So, the standard form of the number is ...

  5.7×0.001 = 0.0057 . . . . . standard form

Answer:

2515 number of copies sold to date

Answer:

D

Step-by-step explanation:

since Δ QRS is isosceles then the base angles are congruent , that is

∠ RQS = ∠ RSQ = (180 - ∠ QRS ) ÷ 2 = (180 - 32)° ÷ 2 = 148° ÷ 2 = 74°

the sum of the 3 angles in Δ SPQ = 180° , then

∠ PQS = 180° - ∠ SPQ - ∠ PSQ = 180° - 36° - 90° = 54°

Then

∠ PQR = ∠ RQS + ∠ PQS = 74° + 54° = 128°

Answer:

v = -3

Step-by-step explanation:

1) Expand.

3v + 4v - 8 = -29

2) Simplify 3v + 4v - 8 to 7v - 8.

7v - 8 = -29

3) Add 8 to both sides.

7v = -29 + 8

4) Simplify -29 + 8 to -21.

7v = -21

5) Divide both sides by 7.

v = -21/7

6) Simplify 21/7 to 3.

v = -3

Answers:

a) See the table below

b) The equation is [tex]y = 32000(1.01125)^x[/tex]

c) $40,024.02

d) See the graph below

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Explanations:

a)

Start with part (b) where I detail how to get the equation.

Once the equation is found, plug in x = 0 to get

[tex]y = 32000(1.01125)^x\\\\y = 32000(1.01125)^0\\\\y = 32000\\\\[/tex]

Repeat for x = 1

[tex]y = 32000(1.01125)^x\\\\y = 32000(1.01125)^1\\\\y = 32360\\\\[/tex]

Repeat for x = 2, x = 3, x = 4 and x = 20 to get the table shown below.

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b)

The template for any exponential equation is [tex]y = a(b)^x[/tex]

a = starting amount = 32000

b = growth factor

The annual interest rate is 4.5%

We compound quarterly, so the quarterly rate is (4.5%)/4 = 1.125% which converts to the decimal form 0.01125; adding one to this leads to the growth factor of b = 1.01125

We go from [tex]y = a(b)^x[/tex] to [tex]y = 32000(1.01125)^x[/tex]

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c)

Plug in x = 20 to represent 20 quarters have elapsed (aka 20/4 = 5 years)

[tex]y = 32000(1.01125)^x\\\\y = 32000(1.01125)^{20}\\\\y \approx 32000(1.25075052084381)\\\\y \approx 40024.016667002\\\\y \approx 40024.02\\\\[/tex]

The investment would be worth $40,024.02 after five years, aka twenty quarters.

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d)

See below for the graph. I'm using GeoGebra to make the graph. Another option is Desmos. It's preferable to use technology than to graph by hand. If you wanted to graph by hand, then you'd plot each of the points found in the table. Then draw a curve through all those points.

Answer:

Compound interest formula

[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]

where:

Given:

[tex]\implies y=32000(1+\frac{0.045}{4})^{4 \times 0.25x}[/tex]

[tex]\implies y=32000(1.01125)^x[/tex]

[tex]\begin{tabular}{|c | c |}\cline{1-2} \bf Quarterly & \bf \$ \\\cline{1-2} 0 & 32000.00\\\cline{1-2} 1 & 32360.00\\\cline{1-2} 2 & 32724.05\\\cline{1-2} 3 & 33092.20\\\cline{1-2} 4 & 33464.48\\\cline{1-2} --- & --- \\\cline{1-2} 20 & 40024.02\\\cline{1-2}\end{tabular}[/tex]

[tex]y=32000(1.01125)^x[/tex]  (where x is the number of quarterly periods)

$40,024.02

see attached

Answer:

  c.  3a^2b^11/2

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)/(a^c) = a^(b-c)

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 [tex]\dfrac{-18a^{-2}b^5}{-12a^{-4}b^{-6}}=\dfrac{-18}{-12}a^{-2-(-4)}b^{5-(-6)}=\boxed{\dfrac{3a^2b^{11}}{2}}[/tex]

Answer:

The answers are:x = ±7/4x = ±3/2x = ±11/8

yww:)

Answer:

Option A, [tex]x =[/tex] ± [tex]11/8[/tex]

Step-by-step explanation:

Step 1:  Add 144 to both sides

[tex]64x^2 - 144 = -23[/tex]

[tex]64x^2 - 144 + 144 = -23 + 144[/tex]

[tex]64x^2 = 121[/tex]

Step 2:  Divide both sides by 64

[tex]\frac{64x^2}{64} = \frac{121}{64}[/tex]

[tex]x^2 = 1.890625[/tex]

Step 3:  Square root both sides

[tex]\sqrt{x^2} = \sqrt{1.890625}[/tex]

[tex]x =[/tex] ± [tex]1.375[/tex]

[tex]x =[/tex] ± [tex]11/8[/tex]

Answer: Option A, [tex]x =[/tex] ± [tex]11/8[/tex]

Answer:

one hundred twenty-five and sixty-five thousandths

Step-by-step explanation:

The 125 part is simply one hundred twnty five.

The .065 has the 5 in the thousandths place, so it is sixty-five thousandths.

Answer: one hundred twenty-five and sixty-five thousandths

Answer:

(-2,1)

Step-by-step explanation:

The solution of a system of equations is wherever the two lines intersect. So, this is quite easy. We can see they intersect at (-2,1). We can tell it is (-2,1) becuase it is two units left and one units up from the origin.

That is the solution.

(-2,1)

Answer:

The answer is (-2,1). Hope this helps :)

Step-by-step explanation: