Simplify the expression (2x − 9)(x + 6).

Answers

Answer 1
Answer: ( 2x - 9 ) ( x + 6 )

( 2x ) ( x ) + ( 2x ) ( 6 ) + ( - 9 ) ( x ) + ( - 9 ) ( 6 )

2x² + 12x - 9x - 54

2x² + 3x - 54.
Answer 2
Answer: (2x-9)•(x+6)

2x•x+2x•6-9•x-9•6

2x²+12x-9x-54
2x²+(12-9)•x -54
2x²+3x-54

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What is the solution to the quadratic equation 8m^2+7m-15=-7 ?

Answers

make equal to zero
add7 both sides
8m^2+7m-8=0
quadratic fomrula

if you have
ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}

8m^2+7m-8=0
a=8
b=7
c=-8

x=\frac{-7+/- \sqrt{7^(2)-4(8)(-8)} }{2(8)}
x=(-7+/- √(49+256) )/(16)
x=(-7+/- √(305) )/(16)

x=(-7+ √(305) )/(16) or x=(-7- √(305) )/(16)

aprox
x=-1.52902 or 0.654016


To make a specific hair dye, a hair stylist uses a ratio of 1 1/8 oz of red tone, 3/4 oz of graytone, and 5/8 oz of brown tone. If the stylist needs to make 20 oz of dye, how much of
each dye color is needed

Answers

Answer:

We can call the amounts of red, gray, and brown dye 1 1/8x, 3/4x and 5/8 x respectively and we can write the equation:

1 1/8x + 3/4x + 5/8x = 20

2 1/2x = 20

x = 8 which means that the stylist needs 1 1/8 * 8 = 9 oz red, 3/4 * 8 = 6 oz gray and 5/8 * 8 = 5 oz brown.

A recipe for modeling clay requires 1/3 cup of salt. how many recipes of salt can carla make with 7 3/4 cups of salt

Answers

Answer:

- The error is: ((31)/(4))((1)/(3))

- The correct solution is:  (93)/(4)=23^{(1)/(4)} (Carla can make approximately 23 recipes with the clay).

Step-by-step explanation:

1. Carla must divide (31)/(4) ÷ (1)/(3) as following:

- Take the reciprocal of (1)/(3).

- Multiply the numerators and the denominators.

Then:

((31)/(4))((1)/(3))=((31)(3))/((4)(1))=(93)/(4)

2. As a mixed number:

(93)/(4)=23^{(1)/(4)}

3. Therefore, Carla can make approximately 23 recipes with the clay.


I am looking for the square root of 5184 Thanks.

Answers

5184|2\n2592|2\n1296|2\n.648|2\n.324|2\n.162|2\n.\ \ 81|3\n.\ \ 27|3\n.\ \ \ \ 9|3\n.\ \ \ \ 3|3\n.\ \ \ \ 1|\n\n5184=2^6*3^4\n\n√(5184)=√(2^6*3^4)=√(2^6)*√(3^4)=2^3*3^2=8*9=72
5184\ |\ \ :2\n2592\ |\ \ :2\n1296\ |\ \ :2\n648\ \ |\ \ :2\n324\ \ |\ \ :2\n162\ \ |\ \ :2\n81\n\n5184=2^6\cdot81=(2^3)^2\cdot9^2=8^2\cdot9^2=(8\cdot9)^2=72^2\n\n √(5184) = √(72^2) =72\n\nAns.\ 72

Three multiplied by the sum of 4 and a number is the same as 18 more than the number. Find the number.. . If n is \"the number,\" which equation could be used to solve for the number?. . . 3n + 4 = n + 18. 4(3 + n) =n + 18. 3(4 + n) =n + 18. 3(4 + n) + 18 > n

Answers

Answer:

3(n+4)=n+18

The value of n is 3

Step-by-step explanation:

Let n be the required number.

Sum of 4 and the number n is (n +4)

Three multiplied by the sum of 4 and the number= 3(n +4)

Now, 18 more than the number = (n + 18)

From, the given directions, we can write the equation

3(n+4)=n+18

Now, we solve this equation for n

Distribute 3 over the parenthesis

3n+12=n+18

Subtract n to both sides

2n+12=18

Subtract 12 to both sides

2n=6

Divide both sides by 2

n=3

Therefore, the required equation is

3(n+4)=n+18

The value of n is 3

Translate the statement to algebraic language:1) Call x the unknown number2) The sum of 4 and a number = 4 + x3) Three multiplied by the sum of 4 and a number = 3(4 + x)4) Is the same as 18 more than the number: 3( 4 + x) = 18 + xSolve the equation:3*4 + 3x = 18 + x3x - x = 18 - 122x = 6x = 6/3x = 2.The number is 2.

A map has a scale of 1 cm : 20 km. Two cities are 2.5 cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?A. 70 km

B. 52.5 km

C. 50 km

D. 150 km

Answers

Answer:

C. 50 km

Step-by-step explanation:

The scale on the map is,

1 cm : 20 km,

That is, the ratio of the scaled distance and actual distance = (1)/(20)

Let x be the actual distance between the two cities which are 2.5 cm apart on the map,

So, the ratio of scaled distance and actual distance = (2.5)/(x)

\implies (1)/(20)=(2.5)/(x)

x=20* 2.5

x=50

Hence, the actual distance between the cities is 50 km.

Option 'C' is correct.

so just use the rule of 3 simple 

1 cm -------- 20 km 
2,5 cm ----- x km 
----------------------------

 x = 2,5 *20/1 = 50 km

x = 50 km so choice C. is righ,correct sure