The polynomial p(x)=x^3+3x^2-4 has a known factor of (x-1)

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Explanation:

Let A = (4,8) and B = (12,16)

Form point C at the location (12,8). Note how points A and C are on the same horizontal level, or they have the same y coordinate.

The distance from A(4,8) to C(12,8) is 12-4 = 8 units. Ignore the y coordinates and subtract the x coordinates. This trick only works for horizontal line segments.

So we can see that each square face has a side length of 8 units. The area of each square face is 8^2 = 8*8 = 64 square units.

There are six of these faces, so 6*64 = 384 square units is the total surface area of the number cube.

Answer:

18 liters of water to water 40 flower pots

Step-by-step explanation:

Because you doubled the amount of flower pots and you just do the same thing with the water

9514 1404 393

Answer:

  ? = 7/30 = 0.233...(repeating)

Step-by-step explanation:

Write the ratios as fractions, then multiply by the denominator under the unknown.

  [tex]\dfrac{\text{?}}{0.2}=\dfrac{7}{6}\\\\\text{?}=0.2\times\dfrac{7}{6}=\dfrac{2}{10}\times\dfrac{7}{6}\\\\ \boxed{\text{?}=\dfrac{7}{30}=0.2\overline{3}}[/tex]

Answer:

B

Step-by-step explanation:

Remark

I have to represent f(x) as plus +f(x)

I like to show this situation as +f(g(x)) which I think is much clearer.

+f(x) = 5x - 4    

Solution

+f(g(x)) = 5(g(x)) - 4  What has happened is that wherever you see an x on the right you put in g(x).

Now on the right, you put whatever g(x) is equal  to.

+f(g(x)) = 5(x^2 - 1)  - 4    

Remove the brackets.

+f(g(x)) = 5x^2 - 5 - 4

And make x = 0

+f(g(0)) = 5*0 - 5 - 4

+f(g(0)) = - 9

Answer:

43ft

Step-by-step explanation:

side a = x ft

side b = 10 ft

side c = 18 ft

x = 14.967

rounds to = 15

10 + 18 + 15 = 43

43 ft of fence needed

Answer:

Step-by-step explanation:

330

Answer:

x=3

Step-by-step explanation:

The problem can be re-written as :

[tex] \sqrt{3^{x} } \div \sqrt{3} = 3[/tex]

This is because x to the power of 1/2 is the same as the square of x.

multiply both sides by sqrt3

[tex] \sqrt{3^{x} } = 3 \sqrt{3} [/tex]

square both sides

[tex]3 ^{x} = (3)^{2} ( \sqrt{3} )^{2} [/tex]

simplify

[tex]3 ^{x} = 9 \times 3[/tex]

3 to the power of x is equal to 27

3 cubed (to the power of 3) is 27

so x is equal to 3.

hope i helped, and good luck :)

Answer:

I believe the answer is B

Answer:

1+2=3 is answer

Step-by-step explanation:

so what help u need?

1.) Divide the composite figure into a square on the left, a rectangle in the middle, and a square on the right by drawing two vertical lines through the figure. Then calculate the individual areas of the shapes and add them all together.

2.) Divide the composite figure into a square on the top and a rectangle on the bottom by drawing a horizontal line through the figure. Then calculate the individual areas of the shapes and add them all together.

Hope this helps, and have a wonderful day!

Answer:

start at (0,2) go up one over 3 to the right, and down 1 over 3 to the left

Answer:

slope is 1/3

the y intercept is (0,2)

Answer:

Use the midpoint formula

Step-by-step explanation:

(-6 + 0 ) ÷ 2 , (-3 + 3) ÷ 2

M = ( -3 , 0) which lies on the x axis

The midpoint M of ST lies on x axis is true

the midpoint M is (-3,0)

M lies on x axis because the y coordinate is 0

Given :

ST has endpoints  S(-6, -3) and T(0,3)

Lets find out the midpoint M using midpoint formula

[tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

Here our (x1,y1) is (6,-3) and (x2,y2) is (0,3)

Now apply the midpoint formula to find out midpoint M

[tex](\frac{-6+0}{2}, \frac{-3+3}{2})\\(-3,0)[/tex]

So the midpoint M is (-3,0)

M lies on x axis because the y coordinate is 0

Learn more :https://brainly.com/question/24472059

Answer:

12c8/d2.....option 1.........

Answer:

8/5

Step-by-step explanation:

this is a slope formula which formats y=mx+b

m being the slope

and b being the y-intercept

so no need to look far, and no need to solve anything but 8/5 would be your y-intercept

:)) have a great day!

Answer:

6 km/hr or 5 km/hr

Step-by-step explanation:

In the lake, she goes 15 km at x km/hr (named)

In the river, she goes 6 km at x-2 km/hr (current=2 km/hr)

So, the time in the lake -  the time in the river = 1 hour (given)

15/x - 6/x-2 = 1 --> x=6;x=5

The speed of the boat as the photographer paddles the lake if the river current is 2 km/h is 6 km/hr and this can be determined by forming the quadratic equation.

Given :

According to the given data, if the river current velocity is 2 km/hr then let the speed in the lake be x km/hr. So, the speed of the photographer in the river is (x - 2) km/hr

Therefore, the speed of the boat as she paddles the lake if the river current is 2 km/h is given by:

[tex]\dfrac{15}{x} - \dfrac{6}{x-2}=1[/tex]

Now, simplify the above expression.

[tex]15(x-2)-6(x)=x(x-2)[/tex]

[tex]15x-30-6x=x^2-2x[/tex]

[tex]x^2-11x+30=0[/tex]

Factorize the above equation.

[tex]x^2-6x-5x+30=0[/tex]

x(x - 6) - 5(x - 6) = 0

(x - 6)(x - 5) = 0

x = 6 or 5

For more information, refer to the link given below:

https://brainly.com/question/25277954

Answer:-12

Step-by-step explanation:

Answer:

V = 205 in^3 to the nearest whole number

Step-by-step explanation:

V = 4/3 π r^3

Plugging in the given information:

V = 4/3 * 3.14 * 7^2

V = 205.147.

Answer:

2622.80

Step-by-step explanation:

I just took the test and made a 100%

Answer:

87

Step-by-step explanation: im genius at math

Answer:

I think the slope would be (2,4)

Step-by-step explanation:

Becuse it rises by 2 and runs by 4

Answer:

x=3 cm

Step-by-step explanation:

x/3=5/5

x=3

Answer:

35*36=1260

Step-by-step explanation:

Answer:

35, 36

Step-by-step explanation:

Let the two consecutive positive integers be x and (x + 1)

According to the given information:

[tex]x(x + 1) = 1260 \\ \\ {x}^{2} + x - 1260 = 0 \\ \\ {x}^{2} + 36x - 35x - 1260 = 0 \\ \\ x(x + 36) - 35(x + 36) = 0 \\ \\ (x + 36)(x - 35) = 0 \\ \\ x + 36 = 0, \: \: x - 35 = 0 \\ \\ x = - 36, \: \: x = 35 \\ \\ \because \: x \in \: positive \: integer \\ \\ \therefore \: x \neq \: - 36 \\ \\ \therefore \: x = 35 \\ \\ x + 1 = 36[/tex]

Answer:

12 i think

Step-by-step explanation:

════════ ∘◦❁◦∘ ════════

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f(x) = -4x + 1

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f(3) = ..?

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#since the x in (x) changed into (3) this means that the x change into (3)

f(3) = -4(3) + 1

f(3) = -12 + 1

f(3) = -11

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Answer:

f(3) = 13

Step-by-step explanation:

4x3=12

f(3)=12+1

12+1=13

Answer:

64

Step-by-step explanation:

4^3 means to multiply 4 by itself three times, 4×4×4=64

Answer:

Initial value: $25; Rate of change: 48; Equation: y= 8x + 25

Step-by-step explanation:

The initial value would be the $25 due to the fact that that's how much money she made during training. After that, her money will go up by $8 for every hour she works for, which is why that's the rate of change.

The equation just restates all that, the rate of change is always represented by the mx in the equation (8 replaces the m), and 25 replaces the b, the start of the line, or on a graph, where the initial dot would be on the y-axis.

Hope this helped!

Answer:

x = 4

Step-by-step explanation:

ΔABC ≈ ΔDBE

set up a proportion of corresponding sides:

BD / BE = BA / BC

BA = 10 - x + x = 10

10-x / 3 = 10 / 5

cross-multiply:

5(10 - x) = 3(10)

50 - 5x = 30

-5x = -20

x = 4

Answer:

-6m+12=30

-6m=18

m=-3

Step-by-step explanation:

Answer:

m = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-6(m - 2) = 30

Step 2: Solve for m