All categories

2 years ago

Using the graph, what is one solution to the equation f(x) = g(x)?

Mathematics

1 answer:

ki77a [65]2 years ago

8 0

Answer: 0.5

( f + g ) (x) = –2x + 6

( f – g ) (x) = 8x – 2

( f × g ) (x) = –15x2 + 2x + 8

)(x)=

4−5x

3x+2 f (2) = 2(2) = 4

g(2) = (2) + 4 = 6

h(2) = 5 – (2)3 = 5 – 8 = –3

Now I can evaluate the listed expressions:

(f + g)(2) = f (2) + g(2)

= 4 + 6 = 10

(h – g)(2) = h(2) – g(2)

= –3 – 6 = –9

(f × h)(2) = f (2) × h(2)

= (4)(–3)= –12

(h / g)(2) = h(2) ÷ g(2)

= –3 ÷ 6 = –0.5

Step-by-step explanation:

You might be interested in

Please! Solve f(x)-g(x) if f(x)=1/2x^4 - x^2 and g(x)= 3/4x^4 +3x^3 - x^2

igomit [66]

Answer:

$f(x)-g(x)=\frac{-1}{4}x^{4}-3x^{3}$

Step-by-step explanation:

This is a subtraction between polynomials, since both functions are polynomials, hence, to solve the problem with need to perform the subtraction, by coefficients.

$f(x)= \frac{1}{2}x^{4}+0x^{3}-x^{2}\\\\g(x)=\frac{3}{4}x^{4}+3x^{3}-x^{2}$

By performing the subtraction, we have:

$f(x)-g(x)=\frac{-1}{4}x^{4}-3x^{3}$

6 0

3 years ago

Wen is factoring the polynomial, which has four terms. 6x3 – 12x2 7x – 14 6x2 (x – 2) 7(x – 2) Which is the completely factored

bonufazy [111]

The factorized form of the polynomial 6x³ – 12x² + 7x – 14 is (6x²+7)(x–2).

<h3>What is a factor?</h3>

A factor of n is a number which when multiplied by another number gives us the number n.

In order to factorize the polynomial 6x³ – 12x² + 7x – 14, we need to take the common terms out of the given polynomial, therefore, the polynomial can be factorized as,

$6x^3-12x^2+7x - 14 \\\\$

Taking the common term 6x² out from the first two terms, and then 7 from the next two terms, therefore, the polynomial can be written as

$6x^3-12x^2+7x - 14 \\\\= 6x^2(x-2)+7(x-2)\\\\=(6x^2 +7)(x-2)$

Hence, the factorized form of the polynomial 6x³ – 12x² + 7x – 14 is (6x²+7)(x–2).

Learn more about Factors:

brainly.com/question/6810544

8 0

2 years ago

Read 2 more answers

Problem

gregori [183]

Answer:

62.5%

Step-by-step explanation:

150/240

Divide top and bottom by 10

15/24

Divide by 3

5/8

.625

Multiply by 100%

62.5%

6 0

2 years ago

1/4 cups = _______ pt

ANEK [815]

1/4 cup is equal to 0.125 pt

3 0

3 years ago

Read 2 more answers

Helpppppppppppppppppp

mariarad [96]

Answer:

From my understanding of the question its 104.58 for the first picture (8.3x3x4.2)

Step-by-step explanation:

All you need to do is multiply the length width and height. it will give you the volume of the object. For your understanding, you can try the second one as practice for these type of problems.

8 0

3 years ago