If f(x) = x3 – 7, show that f-1(x) = Vx+7.

Answer: The answer is 0.81 %

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

We can see that Table A best illustrates the values for the equation.

The answer is (a) Table A.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

The given equation is y = x² + 7x.

We can determine the values of a, b, and c by comparing the equation to the standard form of a quadratic equation,

which is y = ax² + bx + c.

In this case,

a = 1, b = 7, and c = 0.

To determine the direction in which the parabola opens, we can look at the coefficient of the x² term, which is a.

Since a is positive, the parabola opens upwards.

The y-intercept is the point where the parabola intersects the y-axis.

To find it, we can set x = 0 in the equation:

y = 0² + 7(0) = 0

So the y-intercept is (0,0).

Thus,

We can see that Table A best illustrates the values for the equation.

The answer is (a) Table A.

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Answer:

23

Step-by-step explanation:

Answer: 2/13

Step-by-step explanation:

4 aces, 4 nines in a deck of 52 cards

so 8/52 chance of getting one of them reduce to 2/13

Answer:

........................point A

Answer:

point C

Step-by-step explanation:

if you count from 0 with the difference of number 5 then it will be 0.75 in point C

Answer:

$100.4

Step-by-step explanation:

Compound Interest Formula:

A = P[tex]([/tex]1 + [tex]\frac{r}{100}[/tex][tex])^{t}[/tex]

=> A = 100 x ( 1 + [tex]\frac{0.4}{100}[/tex])^1 = 100.4 (If they asked ... interest rate ... per year, if not then depends - most likely to be days and therefore you will need to change 1 year = 365 days and you will also need to change 1 in the formula above to 365, then you will get the right ans)

Answer:

b, since the others have the input and output on the wrong sides

Answer:

Only the isosceles trapezoid has an area of 32 cm².

Step-by-step explanation:

Let's calculate the area of each polygon.

For the two triangles we have:

[tex] A_{t} = \frac{bh}{2} = \frac{2 cm*4 cm}{2} = 4 cm^{2} [/tex]

This polygon does not have an area of 32 cm².

For the rectangle we have:

[tex] A_{r} = bh = 6 cm*4 cm = 24 cm^{2} [/tex]

This polygon does not have an area of 32 cm².

For the rectangle trapezoid we have:

[tex] A_{rt} = A_{t} + A_{r} = (4 + 24) cm^{2} = 28 cm^{2} [/tex]

So, this polygon does not have an area of 32 cm².

Finally, for the isosceles trapezoid:

[tex] A_{it} = A_{t}*2 + A_{r} = (4*2 + 24) cm^{2} = 32 cm^{2} [/tex]

This polygon does have an area of 32 cm².

Therefore, only the isosceles trapezoid has an area of 32 cm².

I hope it helps you!                              

Answer:

First answer is correct and the answer for the second question is a = 30

Answer:

y = 3x - 9    

Step-by-step explanation:

1) First, find the slope of the line between the two points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the x and y values of (0,-9) and (3,0) into the formula and simplify:

[tex]m = \frac{(0)-(-9)}{(3)-(0)} \\m = \frac{0+9}{3} \\m = 3[/tex]

So, the slope is 3.

2) Look at all the options. All the equations are in slope-intercept form since they are in a [tex]y = mx + b[/tex] format. Remember that [tex]m[/tex], or the coefficient of the x-term, is the slope. [tex]b[/tex], or the y-intercept, represents the y-intercept.

Knowing this, the answer must be [tex]y = 3x-9[/tex]. The number in place of [tex]m[/tex] is 3, which is the slope we just calculated. Also, since we know that the line passes through (0, -9), that must be the y-intercept since all points on the y-axis have an x-value of 0.

Answer:

Solution:

Mass of body, m= 10kg

velocity, v= 60m/s

Now,kinetic energy on earth= potential energy at a that point [energy conservation]

so, kinetic energy= 1/2*m* v^2

= 1/2* 60(60)^2

= 30* 60*60

= 108000 joules

Answer:

489

Step-by-step explanation:

I took 358.60 divided by 22 to find how much they were making per hour which is 16.3 therefore if I took 16.3 times 30 I would get my answer which is 489.

Answer:

$489

Step-by-step explanation:

Justice earns $16.30 per hour (358.6 ÷ 22)

16.3 x 30 = 489

Answer:

After the melting there were one and three fifths of snow left.

Step-by-step explanation:

Given that a snowstorm dropped three and two-fifths inches of snow, and the next day one and four-fifths inches melted, the following calculation must be performed to determine how much snow was left:

2/5 = 0.40

4/5 = 0.80

3.40 - 1.80 = X

1.60 = X

0.60 = 3/5

Thus, after the melting there were one and three fifths of snow left.

Answer:

reflection over the x-axis bc y changed

Step-by-step explanation:

Given:

Principal = $14000

Rate of interest = 10% compounded semiannually.

Time = 11 years.

To find:

The accumulated value of the given investment.

Solution:

Formula for amount or accumulated value after compound interest is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is the principal values, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.

Compounded semiannually means interest compounded 2 times in an years.

Putting [tex]P=14000,r=0.10,n=2,t=11[/tex] in the above formula, we get

[tex]A=14000\left(1+\dfrac{0.10}{2}\right)^{2(11)}[/tex]

[tex]A=14000\left(1+0.05\right)^{22}[/tex]

[tex]A=14000\left(1.05\right)^{22}[/tex]

[tex]A\approx 40953.65[/tex]

Therefore, the accumulated value of the given investment is $40953.65.

Answer:

A = $41,867.06

A = P + I where

P (principal) = $14,000.00

I (interest) = $27,867.06

Step-by-step explanation:

Given: Investment = $14,000 Annual Rate: 10% compounded semiannually = 11 year

To find: The accumulated value of an investment

Formula: [tex]A = P(1 + \frac{r}{n}) ^n^t[/tex]

Solution: First, convert R as a percent to r as a decimal

r = R/100

r = 10/100

r = 0.1 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 14,000.00(1 + 0.1/12)(12)(11)

A = 14,000.00(1 + 0.008333333)(132)

A = $41,867.06

Henceforth:

The total amount accrued, principal plus interest, with compound interest on a principal of $14,000.00 at a rate of 10% per year compounded 12 times per year over 11 years is $41,867.06.

Answer:

4 yd

Step-by-step explanation:

The perimeter of a triangle is 9.12 yards.

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

By using Pythagoras theorem, we get

c²=4²+1²

c²=17

c=√17

c=4.12 yd

Now, perimeter = 4+1+4.12

= 9.12 yd

Therefore, the perimeter of a triangle is 9.12 yards.

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Answer: 17 or -18

Step-by-step explanation:

x^2+x=306

x^2+x-306=0

(x-17)(x+18)=0

x-17=0

x=17

x+18=0

x=-18

..i think this is the right answer

Answer: The answer is A, 8 mm.

Step-by-step explanation:

Answer: the answer is c

Step-by-step explanation:

Answer:

Angles STQ & RQT

Step-by-step explanation:

They are on opposite sides, but they are also interior.

Hope this helps! Have a good day!

Answer:

LOL

Step-by-step explanation:

└(^o^)┘└(^o^)┘└(^o^)┘└(^o^)┘└(^o^)┘└(^o^)┘└(^o^)┘└(^o^)┘└(^o^)┘└(^o^)┘

Answer:

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. 16)n = 182, x = 135; 95 percent

✓ 16)n = 182, x = 135; 95 percent sample proportion: p-hat = 135/182 = 0.74 E = 1.96*sqrt[0.74*0.26/182] = 0.0637 95% CI: 0.74-0.0637 < p < …

Answer: y/3x

Step-by-step explanation: 3 times x is 3x, so y/3x

Answer:

its a right angle and the area of it is 24

Step-by-step explanation:

Answer:

1.627 miles

Step-by-step explanation:

Longest distance: 2.55 miles

Shortest distance: 0.923 miles

difference: 2.55 miles - 0.923 miles = 1.627 miles

Answer:

Hi! The answer to your question is D. (-3, -20)

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

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- Brooklynn Deka

Answer: I think it's 40

Step-by-step explanation:

I don't know, I just need points. If you take the 640 and divide it by the nearest angular velocity, then square it, then divide by the radius, you get Bolivia

Answer:

i can improve my listening and focus a lot more

Step-by-step explanation:

Answer:

1 x= 23°

2 x= 148°

3 x= 106°

4 x=17.3°

5 x=25°

6 x=30°

7 x=45°

8 x=48°

9 x=44°