1. Solve 3x^2+7=31 using square roots.
2. Solve x^2-12x=45 by factoring
3. Find the zeros of f(x)=6x^2+9x-6

Answer:

Domain: [-3, 2]

Range: [-3, 3]

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

Range is the set of y-values that are outputted by function f(x).

We see that our x-values span from -3 to 2. Since they are both closed dots, they are included in the domain:

[-3, 2] or -3 ≤ x ≤ 2

We see that our y-values span form -3 to 3. Since they are both closed dots, they are included in the range:

[-3, 3] or -3 ≤ x ≤ 3

Answer-

Step by step explanation:

We know that perimeter of a triangle is equal to sum of the sides of a triangle.

So, we need to add the sides,

(6x - 1) + (5x + 16) + (3x + 40) = Perimeter of triangle

6x - 1 + 5x + 16 + 3x + 40

14x + 55

Answer:

25

Step-by-step explanation:

3 over 3 = 1

5 x (4-1)

5 x 4 = 20

5 x 1 = 5

20 + 5 = 25

5/6x + 7 = 17

Subtract 7 from both sides:

5/6x = 10

Divide both sides by 5/6:

X = 10/ 5/6

When dividing a number by a fraction flip

The fraction over and multiply:

X = 10 x 6/5

Simplify

X = (10x6)/5

X = 60/5

X = 12

The answer is x = 12

Answer:

[tex]\boxed {x = 12}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]\frac{5}{6}x + 7 = 17[/tex]

-Subtract both sides by [tex]7[/tex]:

[tex]\frac{5}{6}x + 7 - 7 = 17 - 7[/tex]

[tex]\frac{5}{6}x = 10[/tex]

-Multiply both sides by [tex]\frac{6}{5}[/tex], which is the reciprocal of [tex]\frac{5}{6}[/tex]:

[tex]x = 10 \times (\frac{6}{5})[/tex]

[tex]x = \frac{10 \times 6}{5}[/tex]

[tex]x = \frac{60}{5}[/tex]

-Divide [tex]60[/tex] by [tex]5[/tex]:

[tex]x = \frac{60}{5}[/tex]

[tex]\boxed {x = 12}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]12[/tex].

Answer:

6.83 repeated so ≈(about)7 miles in 41 minutes 10 miles in an hour

Step-by-step explanation:

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Answer:

Step-by-step explanation:

x =121.42

Answer:

x = 82.35

Step-by-step explanation:

42/51 = x/100

cross multiply, then you get

42*100 = 51*x

4200/51 = 51x/51

x = 82.35

Answer:

The equation of the line in slope-intercept form is y = -x + 6

Step-by-step explanation:

The form of the slope-intercept form of the linear equation is

y = m x + b, where

The rule of the slope is [tex]m=\frac{y2-y1}{x2-x1}[/tex] , where

Let us choose two points on the line to form the equation

∵ Points (6, 0) and (0, 6) lie on the line

∴ x1 = 6 and y1 = 0

∴ x2 = 0 and y2 = 6

→ Substitute them in the rule of the slope to find it

∵ [tex]m=\frac{6-0}{0-6}=\frac{6}{-6}=-1[/tex]

∴ m = -1

→ Substitute it in the form of the equation above

∵ y = -1(x) + b

∴ y = -x + b

∵ b is the y-intercept

∵ The y-intercept is the value of y at x = 0

∵ At x = 0, y = 6

∴ b = 6

→ Substitute the value of b in the equation

∵ y = -x + 6

∴ The equation of the line in slope-intercept form is y = -x + 6

Step-by-step explanation:

1) -12y -9 -8y +24= -20y +15

2) 5b -20 +12= 5b-8

Answer:

1. -20y-3.    2. 5b-8

Step-by-step explanation:

1. -12y-9-8y+6

-20y-3

2. 5b-20+12

5b-8

Answer

120=7x+15

Step-by-step explanation:

Answer:

We are given table for the prices for two different catering companies.

Company Initial Payment           Rate Per Employee

________________________________________

$135                                         $12

       $0                                           $15

We know, slope-intercept form of a linear equation:

y= mx+ b.

Where m is the slope ( Rate Per Employee with respect to the problem) and b is the y-intercept (Company Initial Payment).

Plugging m= 12 and b= 135 in slope-intercept form y=mx+b to get first equation.

y = 12x +135.

Plugging m= 15 and b= 0 in slope-intercept form y=mx+b to get second equation.

y = 15x + 0 or y = 15x.

Therefore, system of equations or Devoted Catering are

y = 12x +135.

y = 15x .

Step-by-step explanation:

Answer:

Total pounds of spinach = 5 pounds

Pounds used for salad = 0.5 pounds

Step-by-step explanation:

Let

Total spinach = x

She used pan of spinach pie for a party = 3/5x

Remaining spinach = x - 3/5x

= 5x-3x/5

= 2/5x

She used 3/4 of the remaining spinach for a pan for her family

3/4 of 2/5x

= 3/4 × 2/5x

= 6/20x

= 3/10x

she used the rest to make a salad.

Salad = x - (3/5)x - (3/10)x

= (1 - 3/5 - 3/10)x

= (10-6-3/10)x

= 1/10x

If rose used 3 pounds of spinach to make the pan of spinach pie for the party how many pounds of spinach did rose use to make the saled

She used pan of spinach pie for a party = 3/5x

3/5x = 3 pounds

Divide both sides by 3/5

x = 3 ÷ 3/5

= 3 × 5/3

x = 5 pounds

Salad = 1/10x

= 1/10 * 5

= 5/10

= 0.5 pounds

Answer:

182

Step-by-step explanation:

5 yards = 5*3 = 15 feet

15 feet = 15 * 12 = 180 inches.

There are 2 more inches in the ribbon. 180 + 2 = 182 inches.

Answer:

2/5

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

PVQ = 60 an RVS = 30,  60 + 30 = 90

Answer:

I'm pretty sure its 18!

Step-by-step explanation:

Negative times Negative is a positive.

2×9 is 18 so that's the answer!

Answer:

18

Step-by-step explanation:

-2 x -9 = -2(-9)

Multiplying two negatives equals a positive

and 2 x 9 equals 18.

(-) x (-) = (+)

Sorry if it doesn't make sense.

the unknown number is -12, 41+7=48  

48/-4=-12

Answer:

5750

Step-by-step explanation:

add the 3 populations together, divide by the number of populations (3)

Answer:

98 degrees .............

Answer:x=8

Step-by-step explanation:

180. 180 ÷ 5 = 36, and 180 ÷ 3 = 60, and 60 + 36 = 96.

Answer:

Step-by-step explanation:

3. In particular, the set of solutions to 2x - 3y = 7 is a straight line. (This is why it's called a linear equation.)

Answer: 20

.....................

Answer:

slope = 3

Step-by-step explanation:

rise/run = 6/2 = 3

Answer:

C) 4a-2a=a+a

Step-by-step explanation:

4a-2a=2a

2a=a+a

2a=2a

answer:

option c is correct!

explanation:

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Answer:

The answer is (2, ∞).

Step-by-step explanation:

The answer is (2, ∞) because both sides of the line will never meet and will forever increase on the [tex]y-axis^{}[/tex].

For (2, ∞)  intervals is the function increasing in the graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

A function is increasing on an interval if for every point on that interval the first derivative is positive.

So we need to find the first derivative and then plug in the endpoints of our interval.

For interval (2, ∞) the function is increasing because both sides of the line will never meet and will forever increase on the y axis.

Hence, for (2, ∞)  intervals is the function increasing in the graph.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ2

Answer:

A. angle I = angle K

Step-by-step explanation:

Step-by-step explanation:

the answer is 3/2

always remember when multiplying numbers of the same base the exponents will always be added and when dividing numbers of the same base the exponents will be minused.