The polynomial p(x) = x^3 - 21x - 20 has a known factor of (x-5). Rewrite p(x) as a product of linear factors.

Answer:

$12.75

Step-by-step explanation:

Moe has been offered two different summer jobs. Job A would pay him an hourly rate of $12. Job B would pay him $510 for a 40-hour work week. First, you have to set up the problem like this:

$510/40 hr = ?/1 hr

The next step is to either cross multiply or you can divide the numerator and denominator by the denominator number because 40/1 is still going to be 40. That means, $510/40= what number?

Answer: $12.75 per 1 hour

Answer:

a) The best deal was in Japan

b) The difference is £38

Step-by-step explanation:

First, find out the cost in pounds for both of the purchases.

Japan:

          39856 / 188 = 212.

          the Japanese phone cost £212.

Spain:

          352.50 / 1.41 = 250.

          the Spanish phone cost £250.

Then, subtract the costs to find the difference:

          250 - 212 = 38

The Identical phone in Japan is €28163.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Price of the phone in Spain = €352.50

Price of the phone in Japan = ¥39856

Now,

€1 = ¥141.52

Multiply 39856/141.52 on both sides.

39856/141.52 x 1€ = 39856/141.52 x ¥141.52

€28163 = ¥141.52

Thus,

The cost of a phone in Japan is €28163.

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Answer:

Option D

Step-by-step explanation:

Hope this helps! :)

The coordinates of the preimage will be at A(-2.5, 5.5), B(-2.5, 2.5) and C (-6.5, 2.5)

Translation is a transformation technique for changing the size and position of an object on the x-y plane.

From the given diagram, the coordinate A'B'C' is given as:

A' = (-1, 2)

B' = (-1, -1)

C' = (-5, -1)

If the triangle ABC was translated according to the rule (x, y) = (x + 1.5, y-3.5) to create the image A'B'C'

A (x + 1.5, y-3.5) = (-1, 2)

x + 1.5 = -1

x = -2.5

y - 3.5 = 2

y = 5.5

Hence A = (-2.5, 5.5)

B = (x + 1.5, y-3.5) = (-1, -1)

x + 1.5 = -1

x = -2.5

y - 3.5 = -1

y = 2.5

Hence B = (-2.5, 2.5)

C (x + 1.5, y-3.5) = (-5, -1)

x + 1.5 = -5

x = -6.5

y - 3.5 = -1

y = 2.5

Hence C = (-6.5, 2.5)

Hence the graph that shows the pre image ABC is attached below

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Answer:

5 and 12

Step-by-step explanation:

Answer:

100 + 33m, $298

Step-by-step explanation:

33 times 6 plus 100

Answer:

298

Step-by-step explanation:

John's speed is 6.67 miles per hour. Therefore, it would take him approximately 0.15 hours or 9 minutes to run 1 mile at the same pace.

The subject of this problem is rate. We can calculate John's speed by dividing the distance he covers by the time it takes. In this case, John ran 5 miles in 3/4 of an hour. So, his speed is 5 miles divided by 3/4 hour, which equates to 6.67 miles per hour. This means he runs 6.67 miles in 1 hour.

Given that speed is constant, if John wants to run only 1 mile, we simply divide this distance by his speed. So, 1 mile divided by 6.67 miles per hour gives 0.15 hours, or approximately 9 minutes. So, it would take John about 0.15 hours or 9 minutes to run 1 mile at the same pace.

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Answer:

2

Step-by-step explanation:

Answer:

y = 1/4x - 3.

Step-by-step explanation:

We see that the line passes through the points (4, -2) and (0, -3) so the slope is (-3 - (-2) / (0-4)

= -1 / -4

= 1/4 = the slope of the line.

The slope-intercept form of a straight line is y = mx + b where m = slope and b = y-intercept. Here the y-intercept is at (0, -3) so b = -3.

So the equation of the line is y = 1/4x - 3.

Answer: 7) 162.15 yd^2 8) 439.7 yd^2 9) 151.42 yd^2

Step-by-step explanation:

Answer:

2x-1 =0      F(x)=(x+1)(x-2)(2x-1)^2

Step-by-step explanation:

Answer:

2x-1

(x+1)(x-2)(2x-1)^2

Step-by-step explanation:

Answer:

AB= 10 BC= 17 AC= 10 x=10

Step-by-step explanation:

trust me

Answer:

16 weeks

Step-by-step explanation:

400/25 =16

Answer:

Option B.

Step-by-step explanation:

The given vertices of triangle ABC are (-1, -1), (-1, -5) and (0.5, -5).

We need to find the coordinates of triangle when it is translated two units left.

So, the rule of translation is

[tex](x,y)\rightarrow (x-2,y)[/tex]

Using this rule, we get

[tex]A(-1,-1)\rightarrow A'(-1-2,-1)=A'(-3,-1)[/tex]

[tex]B(-1,-5)\rightarrow B'(-1-2,-5)=B'(-3,-5)[/tex]

[tex]C(0.5,-5)\rightarrow C'(0.5-2,-5)=C'(-1.5,-5)[/tex]

The vertices of triangle A'B'C' are A'(-3,-1), B'(-3,-5) and C'(-1.5,-5).

Therefore, the correct option is B.

Answer:

the answer is B

Step-by-step explanation:

I don't give explanations all you want is the answer

Answer:

Analyze then add

Step-by-step explanation:

Basically, just analyze the lengths of the sides, and then add them together for the perimeter

Thank me later :)

Answer:

s+s+s=p

Step-by-step explanation:

Just add the three side measurements. Answer will contain a unit most of the time. Remember to convert units if its asking for different units.

HOPE THIS WILL HELP U...

Assuming you want to factor, then you would use the factor by grouping method

x^2+4x + xy+4y

(x^2+4x) + (xy+4y)

x(x+4) + y(x+4)

(x+y)(x+4)

Therefore, x^2+4x + xy+4y factors to (x+y)(x+4)

Answer:

C

Step-by-step explanation:

The exponent is negative so you put the number under 1 with the exponent positive

Answer:

I think the correct answer should be C

Step-by-step explanation:

2-4= -2

Answer:

0, 0, 1/4, 1/2, 1/2, 1, 1, 1, 5/4, 2, 2

Step-by-step explanation:

Answer: 201 square feet

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cylinder: π x radius² x height (in our case the length of the pipe)

Since:

Diameter = radius x 2

In our case D =4

4 = 2radius

Radius= 4/2 = 2 ft

Now that we have the radius, we can use the volume formula replacing with the values given:

V = 3.14x 2² x 16 = 3.14 x 4 x16 =200.96 = 201 square feet

Answer:

Step-by-step explanation:

finding financing in any economic climate can be challenging, whether you're looking for start-up funds, capital to expand or money to hold on through the tough times. ...

Step-by-step explanation: the primary ways to finance your business are through savings, credit cards, friends and family, loans from lending networks or programs, angel investors, business loans and lines of credit, factoring, and purchase order funding.

Answer:

The radius is 14 with a circumference of 28

The radius of the circle with circumference 28π is given by r = 14 inches

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the radius of the circle be represented as r

Now , the equation will be

The circumference of the circle C = 28π inches

And , circumference of circle = 2πr

On simplifying , we get

2πr = 28π

Divide by π on both sides , we get

2r = 28

Divide by 2 on both sides , we get

r = 14 inches

Hence , the radius of the circle is 14 inches

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Answer:

172 m^2.

So you already have it on the correct answer.

Step-by-step explanation:

For you to find the surface area, you need to find out the areas of all the different colored sections.

There are 6 sections.

2 green, 2 purple, and 2 red.

Green section: (length x width) 7 x 8 = 56

Purple section: (length x width) 2 x 8 = 16

Red section: ( length x width) 7 x 2 = 14

Total: 56 + 16 +56 + 16 + 14 + 14 = 172 cm².

Feel free to let me know if you need more help. :)

Answer:

They are not congruent

Step-by-step explanation:

Answer:

It is 6 (six)

Step-by-step explanation:

The length of PQ of the triangle PQJ is [tex]5\frac{1}{3}[/tex] units.

A triangle is a two-dimensional geometrical figure that has three sides, three vertices and three interior angles.

Given, m∠B = m∠P, m∠T = m∠J.

Therefore, ΔBLT and ΔPQJ are similar triangles.

Let, the length of PQ is 'x'.

Therefore, [tex]\frac{BL}{PQ} = \frac{BT}{PJ}[/tex]

⇒ [tex]\frac{4}{x} = \frac{6}{8}[/tex]

⇒ [tex]x = \frac{(4)(8)}{6}[/tex]

⇒ [tex]x = \frac{32}{6} = 5\frac{1}{3}[/tex]

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The height of the red prism must be twice the height of the blue prism.

Volume of a prism can be calculated as the area of the base multiplied by the height.  Since the height of the blue prism is twice that of the red prism, the height of the red prism must be twice as much as that of the blue prism to make the volumes equal.

Answer:

C =251.2 ft

Step-by-step explanation:

To find the circumference we use

C = 2 * pi *r

C = 2 *pi * 40

C = 80 pi

C = 80 *3.14

C =251.2