if f(x) =4x-2 and g(x) =2x+8, what is h (x) when h (x) =f (x) +g(x)

Answer:

x =7/12

Step-by-step explanation:

x + 1/4 = 5/6

start subtract 1/4 from both sides of the equation which will move the -1/4 to the other side to get X by itself

x=5/6 - 1/4

find common denominator, which is 12

x=10/12 - 3/12

solve by subtacting

x=7/12

Answer:

Step-by-step explanation:

1-true

2-false

3-true

4-false

Answer:

3

Step-by-step explanation:

Answer:

Slope is m = 5

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

First answer is:

150

Second answer is:

B. Is is the common difference.

Answer:

$1,968

Step-by-step explanation:

If he paid $82 for 24 months when you mulitply 82 by 24 you get 1968. So the total computar was $1,968

Answer:

It should be b

Step-by-step explanation:

Answer: 3x+5, (3x+5)*3 and 5x+4x+15

Step-by-step explanation:

Answer: I think the first one is 3x+5 since it’s a triangle, just divide it by 3 for one side.

5- 3x+5(3) and (6x+10) +(3x+5)

6- they’re equivalent because if you multiply each value for the first equation by 3, you get the original equation, the second is equal at because 6x+10 is equal to 2 sides while 3x+5 is still equal to one, so adding thos together would still give you the original equation, I’m sorry if this is wrong.

Step-by-step explanation:

Answer:

The length of the base in feet is 8 ft.

Step-by-step explanation:

The volume V of the rectangular prism is given by

V = l × w × h

But Area, A = l × w

∴ V = A × h

Where A is the base area and h is the height

From the question

A = 56 ft.²  and V = 840 ft.³

∴ 840 ft.³ = 56 ft.² × h

840 ft.³ / 56 ft.² = h

15 ft. = h

∴ h = 15 ft.

Hence, the height of the rectangular prism is 15 ft.

Also, from the question

the sum of the length and the width of the base is equal to the height

i.e l + w = h

where l is the length of the base and w is the width of the base

Then, l + w = 15 ------ (1)

Also, A = l × w

Then, 56 = l × w ------- (2)

From equation (1)

l + w = 15

Then, w = 15 - l ------- (3)

Substitute this into equation (2)

56 = l × w

56 = l × (15-l)

56 = 15l - l²

Then,

l²- 15l + 56 = 0

l² -8l -7l + 56 = 0

l(l - 8) -7(l - 8) = 0

(l - 7)(l - 8) = 0

l - 7 = 0 OR l - 8 = 0

∴ l = 7 OR l = 8

Substitute the values of l into equation (3)

w = 15 - l

when l = 7

w = 15 - 7

w = 8

and when l = 8

w = 15 - 8

w = 7

From the question, the length of the base is longer than the width

∴ l = 8 and w = 7

Hence, the length of the base in feet is 8 ft.

Answer:

No its not a proportion, the numerators can't be divided evenly

Step-by-step explanation:

Answer:

they try to hack you and steal information that others should not know!! always report them.

Step-by-step explanation:

X is next to the number 10, so x would be the number of dinner tickets sold.

Rewrite x + y = 100 to x = 100-y

Now replace that in the 2nd equation:

10(100-y) + 6y = 900

Simplify:

1000 -10y + 6y = 900

Combine like terms:

1000 -4y = 900

Subtract 1000 from both sides

-4y = -100

Divide both sides by-4

Y = 25

Replace y in the first equation and solve for x

X + 25 = 100

X = 75

A) 75 dinner tickets were sold

B) 25 dessert tickets were sold

C) 75 x 10 = $750

D) 25 x 6 = $150

Answer:

Slope = 3/2 or [tex]1\frac{1}{2}[/tex] or 1.5

Step-by-step explanation:

Points on graph: (0, 0) and (2, 3)

Slope:

m=(y2-y1)/(x2-x1)

m=(3-0)/(2-0)

m= 3/2

Answer:

There are no solutions to this equation.

Step-by-step explanation:

Answer:

5.0714285714

Step-by-step explanation:

check the photo

:)

Answer:

x=7.2 y=7.5 this is the answer

Answer:

113.04 ft³ is correct

Step-by-step explanation:

The volume (V) of a cone is calculated as

V = [tex]\frac{1}{3}[/tex]πr²h ( r is the radius and h the height )

There are 2 cones to be summed one with h = 7 , the other with h = 5

Thus

V = [tex]\frac{1}{3}[/tex] π × 3² × 7 + [tex]\frac{1}{3}[/tex]π × 3² × 5

   = [tex]\frac{1}{3}[/tex] × 3.14 × 9 (7 + 5)

   = 3.14 × 3 × 12

   = 113.04 ft²

Answer:

25.33 is the circumference of the circle

Step-by-step explanation:

Here, given the measure of the arc, we want to get the circumference of the circle

mathematically, the length of an arc can be calculated using the formula;

theta/360 * 2 * pi* r

where 2 * pi * r = circumference of the circle

theta is the angle subtended at the center which is 55 degrees in this case

Thus, we have ;

55/360 * 2 * pi * r = 3.87

2 * pi * r = (3.87 * 360)/55

2 * pi * r = 25.33 inches

Answer:

50/100 = 500/1000 or alternatively .50 = .500

Answer:

500

Step-by-step explanation:

50 hundredths written in standard form is 0.50 .

**Adding zeroes to the end of a decimal does not change the value of the number.

1 hundredth = 0.01

1 thousandth = 0.001

So, if there are 50 hundredths, how many thousandths would there be?

The difference between hundredths and thousandths are the placement of the decimal point and how many decimal places there are after it. Hundredths have 2, while thousandths have 3.

Back to the example, 1 hundredth = 10 thousandths:

0.01 = 0.010

If there are 50 hundredths, that would mean that there are 10 times more thousandths in the same number.

0.50 = 0.500

50 hundredths = 500 thousandths

Answer: x - 30 = 10

Step-by-step explanation:

x - 30 = 10

x = 30 + 10

x= 40

Answer:

I don't really know its 9 servings tho but it doesn't explain how many are total im sorry

Step-by-step explanation:

Answer:

[tex]x = ln(2 - 1) [/tex]

Answer:

[tex]12 \leqslant x < 26[/tex]

9514 1404 393

Answer:

  y = 12

Step-by-step explanation:

The angle bisector divides the sides proportionally.

  y/6 = 8/4

  y = 6·8/4

  y = 12

Answer:

At first we know that

In a bisector

[tex] \sf \: a \times c = b \times d[/tex]

[tex] \bf \: 8 \times 6 = 4 \times y[/tex]

[tex] \bf \: 48 = 4y[/tex]

[tex] \bf \: y = \dfrac{48}{4} [/tex]

[tex] \bf \: y = 12[/tex]

Answer:

the number of yards be 0.3125

Step-by-step explanation:

The computation of the number of yards will each piece of fabric be is shown below:

Given that

There is [tex]3 \frac{3}{4}[/tex] yards long i.e. 15 ÷ 4

And, it should be cut into 12 equal pieces

So, the number of yards   will each piece of fabric be is

= 15 ÷ 4 ÷ 12 ÷ 1

= 15 ÷ 48

= 0.3125

Hence, the number of yards be 0.3125

Answer:

5/16

Step-by-step explanation:

3 3/4= 13/4

13/4 ÷ 12= 0.3125

0.3125 = 5/16

Answer:

The new figure would be 9 by 15

Step-by-step explanation: