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4 years ago

ASAAPPP!! Which of the following exponential equations could be represented by the table below?

Mathematics

2 answers:

Ira Lisetskai [31]4 years ago

8 0

Answer:

C) $y=3^{x-3}+2$

Step-by-step explanation:

In this question, from the table looking at the Range row (y values). We can clearly see increasing values. Increasing exponential functions follow this rule:

$y=a^{n} \Rightarrow a>1$

As $\frac{1}{3}$ We can eliminate A, D for they are decreasing exponential functions.

And let's focus on the test for B, and C

$b) y=3^{x-2}-3\\y=3^{-3-2}-3\Rightarrow (-3,-2.9959)\\c) y=3^{x-3}+2\\y=3^{-3-3}+2\Rightarrow (-3,2.0014)$

As the first coordinate point matches, then it's C the answer

Ne4ueva [31]4 years ago

7 0

Answer:

Option C

Step-by-step explanation:

Just took the quiz and it was right.

You might be interested in

For his birthday, Tyrone's parents gave him $7,790.00 which they put into a savings account that earns 15% interest compounded m

torisob [31]

Answer:

5 years and 5 months

Step-by-step explanation:

Compound Interest Formula

$\large \text{$ \sf A=P(1+\frac{r}{n})^{nt} $}$

where:

A = final amount
P = principal amount
r = interest rate (in decimal form)
n = number of times interest applied per time period
t = number of time periods elapsed

Given:

A = $17,474.00
P = $7,790.00
r = 15% = 0.15
n = 12
t = number of years

Substitute the given values into the formula and solve for t:

$\implies \sf 17474=7790\left(1+\dfrac{0.15}{12}\right)^{12t}$

$\implies \sf \dfrac{17474}{7790}=\left(1.0125}\right)^{12t}$

$\implies \sf \ln\left(\dfrac{17474}{7790}\right)=\ln \left(1.0125}\right)^{12t}$

$\implies \sf \ln\left(\dfrac{17474}{7790}\right)=12t \ln \left(1.0125}\right)$

$\implies \sf t=\dfrac{\ln\left(\frac{17474}{7790}\right)}{12 \ln \left(1.0125}\right)}$

$\implies \sf t=5.419413037...\:years$

Therefore, the money was in the account for 5 years and 5 months (to the nearest month).

3 0

2 years ago

Read 2 more answers

Is (-4,4) the solution of the system. 4x+5y>-6 and -2x+7y>20

nikklg [1K]

Answer:

It is a solution, one of an infinite number of solutions.

Step-by-step explanation:

You can check to see if the given point is in the solution set:

4(-4) +5(4) = -16 +20 = 4 > -6 . . . . yes

-2(-4) +7(4) = 8 +28 = 36 > 20 . . . yes

The offered point satisfies both inequalities, so is in the solution set. It is not the solution, but is one of an infinite number of solutions.

7 0

3 years ago

The radius of a size 5 soccer ball is approximately 11.5 cm. How many square inches of synthetic leather does it

kakasveta [241]

Answer:

1661.06 cm²

Step-by-step explanation:

From the question given above, the following data were obtained:

Radius (r) = 11.5 cm

Size of synthetic leather needed =?

To know how many square centimetres of synthetic leather needed to cover the ball, we shall determine the area of the ball. This can be obtained as follow:

Radius (r) = 11.5 cm

Pi (π) = 3.14

Area of ball =?

The shape of a ball is spherical in nature. Thus, we shall apply the formula for calculating the area of a sphere. This is illustrated below:

A = 4πr²

A = 4 × 3.14 × 11.5²

A = 4× 3.14 × 132.25

A = 1661.06 cm²

Thus, 1661.06 cm² of synthetic leather needed to cover the ball.

6 0

3 years ago

Write an equation of the line through each pair of points in slope-intercept form.

ASHA 777 [7]

Answer:

see below

Step-by-step explanation:

a) (– 3, –2) and (–3, 4)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(4 - (-2) / (-3 - (-3))

Simplify the parentheses.

= (4 + 2) / (-3 + 3)

Simplify the fraction.

(6) / (0)

= undefined

If your slope is undefined, it is a vertical line. The equation of a vertical line is x = #.

In this case, the x-coordinate for both points is -3.

Therefore, your equation is x = -3.

b) (3, 2) and (–4, –5)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-5 - 2) / (-4 - 3)

Simplify the parentheses.

= (-7) / (-7)

Simplify the fraction.

-7/-7

= 1

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 1x + b or y = x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the first point (3, 2). Plug in the x and y values into the x and y of the standard equation.

2 = 1(3) + b

To find b, multiply the slope and the input of x(3)

2 = 3 + b

Now, subtract 3 from both sides to isolate b.

-1 = b

Plug this into your standard equation.

y = x - 1

This is your equation.

Check this by plugging in the other point you have not checked yet (-4, -5).

y = 1x - 1

-5 = 1(-4) - 1

-5 = -4 - 1

-5 = -5

Your equation is correct.

Hope this helps!

7 0

3 years ago

Left on together, the cold and hot water faucets of a certain bathtub take 8 minutes to fill the tub. If it takes the cold wate

MArishka [77]

Cf=cold faucet rate
hf=hot faucet rate

cf*18min=1 tub
(cf+hf)*8min=1 tub
cf+hf=1tub/8min
cf=1tub/18min
hf=(1/8-1/18)tubs per minute
hf=5/72

It takes 14.4 minutes.

7 0

3 years ago