Graph the given function.
f(x)=(x-1)^3+2

9514 1404 393

Answer:

  [tex]\displaystyle\int^5_2 {(3x^3-7x)} \, dx[/tex]

Step-by-step explanation:

The interval of interest becomes the limits of integration. ∆x becomes dx, and the xi are replaced by the variable of integration, x.

Answer:

(8, 6)

Step-by-step explanation:

2x - y = 10

2x - 2y = 4

=>

x - y = 2

x = y + 2

we put that into the first equation

2×(y+2) - y = 10

2y + 4 - y = 10

y + 4 = 10

y = 6

=>

x = y + 2 = 6 + 2 = 8

so, we have a ordered pair (x, y) = (8, 6)

Answer:

The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 21% of the time.

Step-by-step explanation:

This is the right answer,since this result is only observed 21% of the time, so in general it's not significant, so the first 2 are eliminated. The 2 x 0.21 doesn't matter since, the percent is 21% not 42%, so it doesn't even matter. The last question we eliminate is:"The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 79% of the time" 79% of the time is a pretty good amount to say it's significant, but it only says 21% of the time.So, it leaves us with:The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 21% of the time.

Hope this helps lol (: is this a psat or somethin?

Answer:

Step-by-step explanation:

To find the cost of each box divide the total cost by the number of boxes:

In store A:

→ A box of cotton candy cost = $ 1

→ 12 boxes cost = $ 12

In store B:

→ 12 boxes cost = $ 48

Now we have to,

find the cost of each box in the store B.

→ Total cost in B ÷ Total boxes in B

→ 48 ÷ 12 = 4

So, $ 4 is cost of each box in store B.

Answer:

The slope is 4/5

Step-by-step explanation:

The slope in a y=mx+b equation is always in front of the x. Remember that! :)

Step-by-step explanation:

4/5.

this equation is slope in intercept form following the template of y=mx+b .m is your slope and by looking at the corresponding part tell you 4/5 is the slope

Answer:

15 dollars

Step-by-step explanation:

We can write a ratio to solve

6 cones         9 cones

------------   = --------------

10 dollars       x dollars

Using cross products

6*x = 10 *9

6x = 90

Divide each side by 6

6x/6 = 90/6

x = 15

Step-by-step explanation:

Proof:

2 ( x - 9) = - 10 when x = 4

2 ( 4 - 9) = -10

8 - 18 = -10

-10 = -10 ..........hence proven

Reasons

- When you replace X with 4, you can clearly see that the equation is equal to -10.

sorry I couldn't answer accurately, but I hope this helps

Answer:

A

Step-by-step explanation:

We know that it is A because the two smaller angles are being added, and we know the sum is 90 degrees. The only equation that satisfies both of these is A.

Answer:

A

Step-by-step explanation:

because it is a right angled

Answer:

day 8

Step-by-step explanation:

the rate of change is 2 (x2) which is making the amount saved double each day you can write a formula to represent this sequence:

f(n)=0.01x2^n-1

you put in the day number for n

f(n)=0.01x2^8-1

this gives you 1.28 which is the first day with an amount above 1.00

Answer:

a. 3.16

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√[-9 - (-8)]² + (0 - 3)²

√(-1)² + (-3)²

√(1) + (9)

√(10)

= 3.16

Answer:

x = 3

13 miles between Madison and Jamie's house.

Step-by-step explanation:

If we add the distance between Anoa's and Madison's house with the distance between Jamie's and Madison's house, then we get the total distance between Anoa's and Jamie's house.

(3x + 2) + (3x + 4) = 9x - 3

Let's add up the terms first

3x + 2 + 3x + 4 = 9x - 3

6x + 6 = 9x - 3

Let's move the variables to the right side by subtract 6x from both sides

6x + 6 = 9x - 3

-6x         -6x

6 = 3x - 3

Add 3 to both sides

6 = 3x - 3

+3        +3

9 = 3x

Isolate the variable, x, by dividing both sides by the coefficient, 3.

9/3 = 3x/3

x = 3

Now we need to find the distance between Madison's and Jamie's house.

3x + 4

Plug in 3 in place of the x

3(3) + 4

9 + 4 = 13

Answer:

Step-by-step explanation:

If we add the distance between Anoa's and Madison's house with the distance between Jamie's and Madison's house,then we get the total distance between anoa's and Jamie's house.

If the integral is

[tex]\displaystyle \int (ax^2+2bx+c)^{3/2}(2ax+2b)\,\mathrm dx[/tex]

substitute [tex]u = ax^2+2bx+c[/tex] and [tex]\mathrm du=(2ax+2b)\,\mathrm dx[/tex]. Then you end up with

[tex]\displaystyle \int u^{3/2}\,\mathrm du = \frac25u^{5/2} + C[/tex]

which in terms of x is

[tex]\boxed{\dfrac25(ax^2+2bx+c)^{5/2} + C}[/tex]

Answer:

The answer is 9.

Step-by-step explanation:

6x - 2 < 5x + 7

6x - 5x < 7 + 2

x < 9

Answer: f(g) = 895 + 30g

-----------------------------------------------------------------

He paid $2065. Number of games he played:

-----------------------------------------------------------------

2065 = 895 + 30g

30g = 2065 - 895

30g = 1170

g = 39

-----------------------------------------------------------------

Answer: He played 39 games.

Step-by-step explanation:

Number of games anton played is 39; the equation is 2065 = 895 + 30G

An equation usually consists of equality of two mathematical expressions. Let it be

A = B

. If we take them to be equal to third variable, then:

A = B = C

type of equation is obtained.

We can then take it as system of two equations as:

A = C\\ B=C

Solution to this system will give us the solution to the considered equation.

Solution to an equation is finding values of the variable included in the considered equation for which the equation considered evaluates to be true.

The equation will be f(g) = 895 + 30G

Amount anton paid = $2065.

Number of games he played;

2065 = 895 + 30G

30g = 2065 - 895

30g = 1170

G = 39.

Therefore, the solution of the equation os 39

Learn more about equation here:

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Answer:

The degree measure of the four add up to 360 degrees. This is actually true of any quadrilateral. Let lower case letter a,b,c and d represent the angle of trapezoid ABCD. Then a+b+c+d= 360 degreees.

Answer:

Step-by-step explanation:

Given,

6(x-3) = 11x + 7

=> 6x - 18 = 11x + 7

=> 11x - 6x = -18 - 7

=> 5x = -25

[tex] = > x = \frac{ - 25}{5} [/tex]

=> x = -5 (Ans)

[tex]\large\bf{\red{ \bullet}} \: \tt \:\: 6(x - 3) \: = \: 11x + 7[/tex]

[tex]\large\bf{\red{ \bullet}} \: \tt \:\:6x \: - \: 18 \: = \: 11x \: + \: 7[/tex]

[tex]\large\bf{\red{ \bullet}} \: \tt \:\: - 7 \: \: - 18 \: = \: 11x \: - \: 6x[/tex]

[tex]\large\bf{\red{ \bullet}} \: \tt \: \: - 25 \: = \: 5x[/tex]

[tex]\large\bf{\red{ \bullet}} \: \tt \: \cancel\frac{-25}{5} \: = \: x[/tex]

[tex]\large\bf{\red{ \bullet}} \: \tt \: - 5 \: = \: x[/tex]

[tex]\large\bf{\red{ \bullet}} \: \tt \: \: x \: = \: - 5[/tex]

Answer:

[tex] {m}^{3} + {27}^{m} + 4 {m}^{2} [/tex]

Step-by-step explanation:

[tex] {m}^{3} + {3}^{m 3} + 4 {m}^{2} [/tex]

[tex] {m}^{3} + {3}^{m \times 3} + 4 {m}^{2} [/tex]

[tex] {m}^{3} + {3}^{3m} + 4 {m}^{2} [/tex]

[tex] {3}^{3m} = ({3}^{3} {)}^{m} = {27}^{m} [/tex]

➡️ [tex] {m}^{3} + {27}^{m} + 4 {m}^{2} [/tex]

Answer:

18.63

Step-by-step explanation:

[tex] \frac{6}{10} = 0.6 \\ \frac{3}{100} = 0.03[/tex]

[tex]10 + 8 + 0.6 + 0.03 = 18.63[/tex]

The expression to represent today's temperature is given by

- 2°F - 16°F = - 18°F and todays high temperature is negative as the

temperature is colder.

Temperature is a numerical expression of how hot a substance or radiation is.

The temperature yesterday was -2°F . The temperature is colder today and by 16°F more cold.

Since colder temperature is denoted by negative sign and hotter temperature by the positive sign then when the temperature is colder today then we have to subtract the values to the given values.

Hence - 2°F - 16°F = - 18°F .

So todays high temperature will be a negative value.

To learn more about temperature visit:

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Answer:

[tex](x + 7) \times (3x - 4)[/tex]

Step-by-step explanation:

[tex] {3}^{2} + 17x - 28[/tex]

[tex]3 {x}^{2} + 21x - 4x - 28[/tex]

[tex]3 \times x(x + 7) - 4x - 28[/tex]

[tex]3x \times ( x + 7) - 4(x + 7)[/tex]

[tex](x + 7) \times (3x - 4)[/tex]

Answer:

NO

Step-by-step explanation:

xbsndjejejxkxkekejejejejs

Answer:

The decimal 1.0227 is a rational number. First of all, it is a terminating decimal, which means that the decimal has a definite ending point.

Step-by-step explanation:

Answer:

1.22

Step-by-step explanation:

89/23=3.87

90/19=4.74

4.74/3.87=1.22

Or

3.87/4.74=0.82

Hope I got it

Answer:

[tex] \frac{2070}{1691} [/tex]

Step-by-step explanation:

[tex] \frac{23}{89} \div \frac{19}{90} [/tex]

➡️ [tex] \frac{23}{89} \times \frac{90}{19} [/tex]

➡️ [tex] \frac{23 \times 90}{89 \times 19} = \frac{2070}{89 \times 19} [/tex]

➡️ [tex] \frac{2070}{1691} [/tex] ✅

Answer:

3.14159265358979

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

m = 5, n = 2, and p = 4

Substituting the values in the equation p(6 – n) – m ÷ 5 ,

4(6-2) - 5/5

4(4) - 1

16 - 1

=> 15

Answer:

V = pi R^2 * h       volume of cylinder    (area of base * height)

pi R^2 = 64 / 8 = 8

R^2 = 8 / pi = 2.865

R = 1.69 ft

Answer:

If several points are graphed on a number line, the point that is farthest from 0 need NOT be always greater. Consider x axis, our Real number line. We can traverse in positive number direction and negative number direction.

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Answer:

No

Step-by-step explanation:

let x be the number:

1st = 4

2nd = 4+1 = 5

3rd = 4+2 = 6

HOPE THIS HELPS. GOODLUCK:)

Answer:

No

Step-by-step explanation:

<JAC = 93

< DBE = 90

The two angles are not equal