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3 years ago

If f(x) = x2 – 2x and g(x) = 6x + 4, for which value of x does (f + g)(x) = 0? n О-2 /

Mathematics

2 answers:

bulgar [2K]3 years ago

8 0

Answer:

x = -2.

Step-by-step explanation:

(f + g)x = f(x) + g(x)

= x^2 - 2x + (6x + 4)

= x^2 + 4x + 4.

To find x when this = 0:

x^2 + 4x + 4 = 0

(x + 2)^2 = 0

x = -2.

gregori [183]3 years ago

4 0

Answer:

x = - 2

Step-by-step explanation:

note that (f + g)(x) = f(x) + g(x)

f(x) + g(x) = x² - 2x + 6x + 4 = x² + 4x + 4 = (x + 2)²

Equating to zero gives

(x + 2)² = 0, that is

x + 2 = 0 ⇒ x = - 2

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There are 1200 students at a school.

const2013 [10]

Answer:

The number of boys that have school dinners is 381.

Step-by-step explanation:

First, we need to find how many students have school dinners:

$SD = 1200*0.62 = 744$

The percent of girls that have school dinners:

$\%SD_{g} = 100\% - 45\% = 55\%$

Now, we need to find the number of boys (b) and girls (g) at a school:

$g = 1200*0.55 = 660$

$b=1200 - 660 = 540$

Hence. the percent of boys that have school dinners is given by:

$SD = g*\%SD_{g} + b*\%SD_{b}$

$\%SD_{b} = \frac{SD - g*\%SD_{g}}{b} = \frac{744 - 660*0.55}{540} = 0.706$

$\%SD_{b} = 70.6\%$

Finally, the number of boys that have school dinners is:

$B = 540*0.706 = 381$

Therefore, the number of boys that have school dinners is 381.

I hope it helps you!

4 0

3 years ago

Question 2

valkas [14]

Answer:

4$ was deducted

Step-by-step explanation:

3 0

3 years ago

What is the distance between point A and point B? Round to nearest tenth.

Sergeu [11.5K]

Answer:

$d \approx 12.6$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra II

Distance Formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point A (-4, 2)

Point B (8, 6)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d.

Substitute [DF]: $d = \sqrt{(8+4)^2+(6-2)^2}$
Add/Subtract: $d = \sqrt{(12)^2+(4)^2}$
Exponents: $d = \sqrt{144+16}$
Add: $d = \sqrt{160}$
Simplify: $d = 4\sqrt{10}$
Evaluate: $d = 12.6491$
Round: $d \approx 12.6$

7 0

3 years ago

While practicing her foul kicks for soccer, Louisa made 85% of her shots. If she made 51 shots, how many shots did she kick in t

vesna_86 [32]

Answer:

the exact answer is 58.65

Step-by-step explanation:

since she made 85% of her shots, that means in total from her 51 shots, she made 115% more than 51 (you add 15% to 100%). The 15% is from the difference of 100% and 85%. You then change 115% to fraction form (1.15) and multiply it by the amount of shots made, getting you 58.65. Since you can't make a fraction in terms of a real life scenario like this, you prob need to round or something. Diff teachers want diff things

3 0

3 years ago

Read 2 more answers

Solve the problem. Judith works after school at her family's tent company. One of their best selling tents is an A-frame tent th

Gelneren [198K]

The surface area of the tent is 94 square feet.

There are 5 pieces to the tent. We just need to find the area of each side and add them together.

Floor - Rectangle: 4 x 6 = 24

Front & Back - Triangles: 4 x 4 / 2 = 8

2 Sides: Rectangles: 4.5 x 6 = 27

24 + 2(8) + 2(27) = 94 square feet

5 0

3 years ago