Factor this polynomial expression.
15x^2- 2x - 8
O A. (5x + 4)(3x - 2)
O B. (5x - 4)(3x+2)
O C. (5x + 2)(3x - 4)
O D. (5x-2)(3x+4)

Answer: 9^3 or 9 by the power of 3.

Step-by-step explanation:

Answer:The slope of a line measures the steepness of the line. Most of you are probably familiar with associating slope with "rise over run". Rise means how many units you move up or down from point to point. Run means how far left or right you move from point to point. On the graph, that would mean a change of x values.

Step-by-step explanation:

Answer:

D, StartRoot 3 EndRoot x + 3 y = 0

Step-by-step explanation:

The equation which represents the rectangular form of 5pi/6​ is √3x-y=0.

We are given that;

The expression 5pi/6​

Now,

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

The rectangular form of a polar point (r, θ) is given by (x, y) where x = r cos(θ) and y = r sin(θ).

Therefore, the rectangular form of 5π/6 is given by (x, y) where x = 5 cos(5π/6) and y = 5 sin(5π/6).

Using the unit circle, we can find that cos(5π/6) = -√3/2 and sin(5π/6) = 1/2.

Hence, the rectangular form of 5π/6 is (-5√3/2, 5/2).

Therefore, by the equation answer will be √3x-y=0.

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Answer:

P = 8

Step-by-step explanation:

Answer:

p=104/33

Step-by-step explanation:

Answer:

No queda nada del pastel.

Step-by-step explanation:

El pastel representaria un entero, si al entero lo dividimos en tercios, son tres tercios los que los conforman, por ende si lo cortamos tres veces, en el primer corte quedarian dos tercios de pastel, en el segundo corte un tercio, y en el tercer corte el ultimo tercio , generando asi que no quede nada de este.

Los enteros se dividen en cuartos, tercios y hasta octavos, o muchas mas fracciones.

Un entero es equivalente a 4 porciones de 1/4 y a 3 porciones de 1/3

Answer:

A

Step-by-step explanation:

It's A because she subtracted a negative and that only make a bigger negative where she should have added

Answer:

11%

Step-by-step explanation:

I think that's the answer just check first

Answer:

1. 4[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

For question 1, you need to know the ratio between the recipe and the amount in question.

So if in the recipe, it says it uses 3/4 cup of diced ham, and the question uses 1 cup of diced ham, you can divide 1 by 3/4 to get 4/3. This is how many times bigger the amount used in the question than the recipe.

Then it asks for how many cups of potatoes, to do this, you look at the recipe and how many potatoes it uses: 3.5 cups

To solve it then, you just do 3.5 x 4/3 to get 4[tex]\frac{2}{3}[/tex] cups of potatoes

There's your answer.

Answer:

1 bedroom = $280

2 bedroom = $400

3 bedroom = $560

Step-by-step explanation:

Given that :

Total rent received = 1240

Rent amount of 3 bedroom = 2 times rent of 1 bedroom

Let 1 bedroom = x

2 bedroom = y

3 bedroom = 2x

x + y + 2x = 1240

3x + y = 1240 ---(1)

Repair cost :

10% of x = 0.1x

20% of y = 0.2y

30% of 2x = 0.6x

0.1x + 0.2y + 0.6x = 276

0.7x + 0.2y = 276 - - - (2)

From (1)

y = 1240 - 3x

0.7x + 0.2(1240 - 3x) = 276

0.7x + 248 - 0.6x = 276

0.1x + 248 = 276

0.1x = 28

x = $280

1 bedroom = $280

3 bedroom = $280 * 2 = $560

2 bedroom = $1240 - $840 = $400

Answer:

20x + 5 < 30

Step-by-step explanation:

To make a profit, the price on supplies must be less than the amount at which they sold their wares

Since they received $5 in tip, the amount of profit left to be accounted for is 30-5 = 25

So now, we need the smallest price at which they will sell per lemonade to make a profit

Mathematically, that will be;

20x + 5 > 30

Using this inequality X they will know the value of x that will give them profit

Answer:

The tens digit = 5

The units digit = 9

The two digit number is 59

Step-by-step explanation:

Let the tens digit be represented by x

The units digits be represented by y

In a two-digit number, the units digit is six less than three times the tens digit.

y = 3(x) - 6

y = 3x - 6

Four times the units digit minus five times the tens digit equals 11.

4(y) - 5(x) = 11

4y - 5x = 11

We substitute

4(3x - 6) - 5x = 11

12x - 24 - 5x = 11

Collect like terms

12x - 5x = 11 + 24

7x = 35

x = 35/7

x = 5

y = 3x - 6

y = 3(5) - 6

y = 15 - 6

y = 9

Hence,

The tens digit = 5

The units digit = 9

The two digit number is 59

Answer:

5=tens 9=units

Step-by-step explanation:

I think its this

Answer:

15/8

Step-by-step explanation:

The area of a rectangle is given as 5/6 square foot.

The width is given as 2/3 foot

But area if a Rectangle = Lenght × width

A = Lenght x width

5/6= Lenght × 2/3

If we make Lenght subject of the formula we have

lenght= (5/6) / (2/3)

length = (5×3)/(6×2)

Lenght= 5/4

To calculate the number of times greater is the length than the width we take the ratio of Lenght and width

Lenght / width = (5/4) / (2/3)

= (5×3)/(4×2)

= 15/8

Hence the number of times greater is the length than the width is 15/8

Answer:

0.5

Step-by-step explanation:

Rise over run. 6/12 or divide. 6 divided by 12 equals 0.5.

Answer: 1/2

Step-by-step explanation:

6/12 simplified is 1/2

Step-by-step explanation:

3x-2x -x = 2-2

x=0

the solutions =2

1) must moves the numbers

2) solve them

Answer:

Step-by-step explanation:

A circle has a diameter of 3 meters. Which statement about the circumference and area is true?

A comparison of the area and circumference is not possible since the area cannot be determined.

The numerical value of the circumference and area are equal.

The numerical value of the circumference is greater than the numerical value of the area.

The numerical value of the circumference is less than the numerical value of the area.

Using the area and the circumference of the circle, it is found that the correct statement is given by:

The numerical value of the circumference is greater than the numerical value of the area.

The area of a circle of diameter d is given by:

[tex]A = \frac{\pi}{4}d^2[/tex]

The circumference of a circle of diameter d is given by:

[tex]C = \pi d[/tex]

In this problem, we have that d = 3, hence:

[tex]A = \frac{\pi}{4} \times 3^2 = \frac{9\pi}{4} = 2.25\pi[/tex]

[tex]C = \pi \times 3 = 3\pi[/tex]

Hence the correct option is given by:

The numerical value of the circumference is greater than the numerical value of the area.

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9514 1404 393

Answer:

  d.  76(cos(3π/16) +i·sin(3π/16))

Step-by-step explanation:

To form the product of 38cis(π/8) and 2cis(π/16), multiply the magnitudes and add the angles:

  38cis(π/8) × 2cis(π/16) = (38×2)cis(π/8 +π/16) = 76cis(3π/16)

___

In this context, a·cis(b) ≡ a(cos(b) +i·sin(b))

Answer:

option 4

Step-by-step explanation:

Answer:

Option 4 (C)

Step-by-step explanation:

Substitute the f(x) = 10 - x^2 into where it says f(x):

g(x) = 3 f(x) - 8

g(x) = 3 (10-x^2) - 8

Because there is a -2 in place of the x in g(x), then we need to substitute the value of 2 for x into the equation:

g(-2) = 3 (10-(-2)^2) - 8

g(-2) = 18 - 8

g(-2) = 10

^-^ hope this helps! (●´ω｀●)

Answer:

A. 904.3 cm³

Step-by-step explanation:

Radius of the ice cream cone (r) = 6 cm

Height of the ice cream cone (h) = 12 cm

Radius of the shape of hemisphere formed by the half scope of ice cream = 6 cm

Total volume of ice cream = volume of cone + volume of hemisphere

= [tex] (\frac{1}{3} \pi r^2 h) + (\frac{2}{3} \pi r^3) [/tex]

Plug in the values

[tex] (\frac{1}{3} \times 3.14 \times 6^2 \times 12) + (\frac{2}{3} \times 3.14 \times 6^3) [/tex]

[tex] (\frac{1}{3} \times 3.14 \times 36 \times 12) + (\frac{2}{3} \times 3.14 \times 216) [/tex]

[tex] = (1 \times 3.14 \times 12 \times 12) + (2 \times 3.14 \times 72) [/tex]

[tex] = (452.16) + (452.16) [/tex]

Total volume of ice cream = 904.3 cm³ (nearest tenth)

Answer:

23.95(3)+ 0.24=150 multipy 3 and 23.95

71.85+0.24m=150 subtract 71.85 from 150

0.24m=78.15 divide 78.15 by 0.24

m=325 miles

Answer:

The equation is y = 3x - 1

Step by Step Explanation:

Ok, so your first step in solving this would be substituting m in the equation with the slope, since m represents the slope. So then you would have y = 3x + b. Now, to find b, you would have to substitue the point (1,2) into the equation. You would replace 2 with y since that's the y coordinate, and 1 with x since that's the x coordinate. Then you have 2 = (3*1) + b. Now, you solve for this. You get 2 = 3 + b. Isolating the variable b, you have b = -1. So, the result is y = 3x - 1. That's your answer

Answer:

Slope is 3

y-intercept is 2