The expression x3 – 64 can be written as (x)3 – (4)3. What is the factorization of x3 – 64?

a3 – b3 = (a – b)(a2 + ab + b2)

A. (x – 4)(x2 + 4x + 8)
B. (x – 4)(x2 + 4x + 16)
C. (x – 64)(x2 + 64x + 16)
D. (x – 64)(x2 + 64x + 4,096)

Answer: D. (-7/2,3/2)

Step-by-step explanation: (apx)

The midpoint of the segment shown below is option D. (-7/2, 3/2).

Coordinates are the set of points in a geometrical plane or space, which is used to denote the exact point in the coordinate plane or space.

Given a line segment with the given coordinates for the end points.

Midpoint of a segment with end points (x, y) and (x', y') is,

Midpoint = ((x + x') / 2, (y + y') / 2)

Here the end points of the segment are (-6, -2) and (-1, 5).

Midpoint of the segment = ((-6 - 1) / 2, (-2 + 5) / 2)

                                         = (-7/2, 3/2)

Hence the mid point of the segment is (-7/2, 3/2).

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Answer:

-3/2

Step-by-step explanation:

Count up three times and to the left twice. Let me know if you need help with other questions!

Answer:

5n - 2n - 3 + n

3n - 3 + n

3n + n = 3

4n = 3

N= 4 ➗ 3

N = 1.33

Step-by-step explanation:

Answer:

Total: $60.66

Step-by-step explanation:

tip: $52.75 x 0.15 = $7.91

tip+bill: $52.75 + $7.91 = $60.66

Answer:

The most common methods are wind, water, animals, explosion and fire. Dandelion seeds float away in the wind.

Step-by-step explanation:

Because plants cannot walk around and take their seeds to other places, they have developed other methods to disperse (move) their seeds.

Answer:

Seeds with wings

Hitchhikers

Going with the flow

help from animals

Step-by-step explanation:

1. there are two methods to solve this system

I.substition

from the first relation we can deduct

2a-b=4

2a=4+b

a=(4+b)/2

now we substitute a in the second relation

(4+b)/2+b=5

we multiply by 2

4+b+2b=10

3b=6

b=6/3=2

a+2=5

a=3

II.reduction

2a-b=4

a+b=5

we can add the two relations together

2a+a-b+b=4+5

3a=9

a=3

3+b=5

b=2

Answer:

The black tulle has a better price.

Step-by-step explanation:

The black tulle has a better price because its cost is less. Then the correct option is C.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Crafter's Warehouse sells 3 yards of gray tulle for $5.63. They sell 6 feet of black tulle for $3.58.

The units rate price of gray tulle will be given as,

⇒ $5.63 / 3

⇒ $1.88 per yard

The units rate price of black tulle will be given as,

⇒ $3.58 / 6

⇒ $0.60 per yard

The black tulle has a better price because its cost is less. Then the correct option is C.

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Answer:

The answer is 6.762 pounds.

Step-by-step explanation:

2.12 + 1.45 + 3.19 20 = 6.762.

Answer:

8. the line the vertical

9. y=3/4x-10

Step-by-step explanation:

For number nine, you must find b with the information given if you were to use slope intercept form.

4= 3/4(-8)+b

4= -6+b

-10=6

Now, just plug this number back into the equation.

y= 3/4x-10

Answer:

5/9

Step-by-step explanation: If you find a common denominator ( i found 135 ) and you multiply each numerator by the number u multiplied the denominator to get the common denominator, you can see that 5/9 is greater. hope this helps and sorry if that was confusing

Answer:

5/9 is greater

Step-by-step explanation:

As numerator of second ratio is greater, Hence, 5/9 is greater.

Answer:

7 Weeks

Step-by-step explanation:

Each week is 105 because 1500*.07=105

Then through the process of elimination I found it would take 7 weeks.

The equation of the circle C is [tex](x-6)^{2}+(y+2)^{2} =25[/tex]

The equation of a circle is [tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex] where r is the radius and (h,k) is the center of a circle.

The radius of a circle is 5.

Also, the center of a circle is (h,k) = (6,-2)

So, the equation of a circle is [tex](x-6)^{2}+(y-(-2))^{2} =5^{2}[/tex]

Simplify further the above equation.

[tex](x-6)^{2}+(y+2)^{2} =25[/tex]

Thus, the equation of the circle C is [tex](x-6)^{2}+(y+2)^{2} =25[/tex]

Hence, option (D) is correct.

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Answer:

t= -9/10= -0.900

Step-by-step explanation:

Answer:

area of circle = 78.55 cm²

Step-by-step explanation:

area of circle

= πr²

= 3.142 × 5²

= 3.142 × 25

= 78.55 cm²

Answer:

She has to buy 4 shirts. I'm not sure how to graph this sorry.

Step-by-step explanation:

Answer:

Y axis

Step-by-step explanation:

Answer:

Y axis

Step-by-step explanation:

Answer:

[tex]2\frac{11}{12} +5 \frac{1}{2} + 3\frac{3}{8}[/tex] (write them out and convert them all into mixed fractions)

[tex]\frac{35}{12} + \frac{11}{2} + \frac{27}{8}[/tex] (find the LCD aka least common denominator)

[tex]\frac{70}{24} + \frac{132}{24} + \frac{81}{24}[/tex] (add all numerators together)

[tex]\frac{283}{24}[/tex]  (this is improper, so you need to convert back to mixed by dividing)

[tex]11\frac{19}{24}[/tex] (this is your answer)

Answer:

1) 43/10

3) p = kt/v

4) C

1. The distance (d) from the center of the seesaw varies inversely as the weight (w) of a person.

[tex]\rm d\times w = constant[/tex]

JB who weighs 50 kg sits 3 feet from the fulcrum.

Distance of JP from the fulcrum in order to  balance with JB if he weighs 35 kg?

[tex]\rm JB \times 3 = JP \times 35 \\50\times 3 = JP \times 35 \\JP = 4.28\; feet[/tex]

So JP must sit at a distance of about 4.28 feet from the fulcrum

2. The number of pages (p) that Ethan reads varies directly as the number of hours (1) he is  reading.

A. write the variation equation

 let the number of pages read by Ethan be p

let the number of hours he is reading be  h

According to the given situation

[tex]\rm p \; \alpha\; h \\So \; equation\; is \; p = ch[/tex]

B . According to the given condition

[tex]\rm 21 = c \times 14\\c = 3/2 = 1.5[/tex]

hence the constant of proportionality c = 1.5  

So let us consider he reads p' pages in 21 minutes

[tex]\rm p' = 1.5 \times 21 = \bold{31.5\; pages}[/tex]

3. The pressure of the gas is directly proportional to the temperature and inversely proportional to  its volume.

A. Write the variation equation.

Let P = Pressure , V = Volume and T = Temperature

The equation is

[tex]\rm P \; \alpha \; \dfrac{T}{V}........(3.1)[/tex]

B. What will happen to the pressure if the volume is reduced to half and the temperature is doubled?

Since the temperature is doubled and volume is halved  so putting 2T and  and volume V/2 in equation (3.1) we get

[tex]\rm P \; \alpha \; \dfrac{4T}{V}[/tex]

So the values of new pressure become 4 times the value.

4. Given the equation y = k ma, where k is the constant of variation, which of the following

statements are TRUE or FALSE.

A. y and r varies directly.  

B.y and q are directly proportional

C.y and pq2 varies jointly

D. p and r are inversely proportional

E. y and p varies directly.​

It seems that Question 4  has an ambiguity since the equation y = k ma

does not signifies any of the option

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Answer: It's not possible to create 38 liters of green paint with whole liters of blue and yellow paint.

======================================================

Explanation:

The ratio of blue to yellow is 2:3. We have 2 parts blue and 3 parts yellow.

Multiply both parts by x to get 2x:3x

We have 2x parts of blue paint, and 3x parts of yellow paint.

x is some positive whole number.

In total, we have 2x+3x = 5x liters of paint. Set this equal to 38 and solve for x to get

5x = 38

x = 38/5

x = 7.6

We don't get a whole number, which contradicts how we set up x earlier. This must mean that Mark must use a fractional liters, instead of whole liters.

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

Here's another way to look at it:

Lets say he uses 2 liters of blue and 3 liters of yellow. This mixes to 2+3 = 5 liters of green.

Now let's say he uses 4 liters of blue and 6 of yellow. I multiplied both parts by 2. This mixes to 4+6 = 10 liters of green.

We continue this process to get the following

As you can see, we don't land on 38 liters of green. We can get to 35 liters or 40 liters, but not 38. Each of the amounts of green are a multiple of 5.

This is confirmation that Mark will have to use some fractional amount of liters of blue and yellow paint.

Answer:

A(5,6)

D(-2,-2)

E(3,-4)

F(2,-6)

Answer:

Step-by-step explanation:

A=(5,6)

D=(-2,-2)

E=(3,-4)

F=(2,-6)

Answer: ↓↓↓

Step-by-step explanation:

1. EF || HG, HE || FG

2. Reflexive Property

3. Alternate Interior Angles

4. SAS

Answer:

3       1

–  = ——

9       3

Step-by-step explanation:

I simplified it as well.

Answer:

A D E Are Linear And B C F Are Non Linear.

Step-by-step explanation:

I Had The Same Question And Got This Correct.

Answer: y = 0 - 4

Step-by-step explanation:

Buying bags of apples from orchard will be the better deal.

Unit price cab be found by using formula ,dividing the total price by the price of of one quantity.

[tex]price of one item=\frac{total price }{total number of items}[/tex]

According to the given question

At the market:

Cost of 6bags of apples=$31.02

⇒ Cost of 1bag of apples [tex]=\frac{31.05}{6} =5.17[/tex]

At the orchard:

Cost of 5bags of apples =$25.40

⇒ Cost of 1bag of apples=[tex]\frac{25.40}{5}[/tex]=$5.08

Therefore, unit price of a bag of apples from orchard  is less as compared to the bag of apples from market.

Hence, buying bags of apples from orchard will be the better deal as compared to the buying bags of apples from market.

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Answer:

7,850

I’m pretty sure that’s right, I just added 25,000 and 15,250 together then subtracted the answer from 32,400 and got 7,850