3 years ago

If f(x) = -5x – 4 and g(x) = -3x - 2, find (f+ g)(x).

Mathematics

1 answer:

Andrej [43]3 years ago

4 0

Answer: See below

Step-by-step explanation:

(f+g)(x) is another way for saying f(x)+g(x). Since we know f(x) and g(x), we can add them together.

-5x-4+(-3x-2) [distribute the 1 to (-3x-2)]

-5x-4-3x-2 [combine like terms]

-8x-6

(f+g)(x) is -8x-6. You can also factor this.

1. Factoring

-2(4x+3)

You might be interested in

How to write 310,763,136 in words

Montano1993 [528]

three hundred ten million, seven hundred sixty-three thousand, one hundred thirty-six

4 0

3 years ago

Read 2 more answers

Organisers for a charity event sold 500 tickets. Adult price £3 and children £2. Money received from adult ticket sales is £400

Tatiana [17]

Answer: 280

Step-by-step explanation:

Quantity X Cost = Money Received

Adult: x 3 3x

Children: 500-x 2 2(500 - x) = 1000 - 2x

Adult = Children + 400

3x = 1000 - 2x + 400

3x = 1400 - 2x

5x = 1400

x = 280

7 0

3 years ago

You and another person are sunbathing on the beach near a lifeguard station. The other person chooses a spot that is the same di

Schach [20]

Answer: 26.8 feet

Step-by-step explanation:

In the figure attached you can see two right triangles triangle ABD and a triangle ACD.

You are located at point B and the other person at point C.

The approximate height of the lifeguard station is x.

Keep on mind that:

$tan\alpha=\frac{opposite}{adjacent}$

Therefore:

For the triangle ABD:

$tan(36\°)=\frac{x}{DC+11}$ [EQUATION 1]

For the triangle ACD:

$tan(46\°)=\frac{x}{DC}$ [EQUATION 2]

Solve from DC from [EQUATION 2]:

$DC=\frac{x}{tan(46\°)}$

Substitute into [EQUATION 1] and solve for x:

$tan(36\°)=\frac{x}{(\frac{x}{tan(46\°)}+11)}\\tan(36\°)(\frac{x}{tan(46\°)}+11)=x\\11*tan(36\°)=x-\frac{xtan(36\°)}{tan(46\°)}\\7.991=0.298x$

$x=26.81ft$ ≈26.8ft

7 0

3 years ago

Each lap around a park is 0.58 miles. Jessica walked 3.25 laps around the park. How many miles did Jessica walk around the park?

xz_007 [3.2K]

0.58x3.25=1.885
c.)1.885 miles

6 0

3 years ago

Juan rents a car for $29.00 a week. He pays $17.00 per week for the insurance and spends $13.50 weekly on gas. What will his cos

Goryan [66]

$29+$17+$13 = $59 weekly spending
So 1 month gonna be $59 times 4 = $236 per month

5 0

2 years ago

Read 2 more answers