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2 years ago

Write a sum in standard form. A) h(x)+k(x)

Mathematics

1 answer:

denpristay [2]2 years ago

7 0

Answer:

x^2 + 2x - 8

Step-by-step explanation:

h(x) + k(x) = (2x^2 + 5x - 12) + (-x^2 - 3x + 4)

Add Like Terms

(2x^2 + 5x - 12) + (-x^2 - 3x + 4)

2x^2 - x^2 = x^2

(2x^2 + 5x - 12) + (-x^2 - 3x + 4)

5x - 3x = 2x

(2x^2 + 5x - 12) + (-x^2 - 3x + 4)

-12 + 4 = -8

x^2 + 2x - 8

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Can you show me the work to get this answer write two expressions that have a gcf of 8xy

BigorU [14]

1) Expression 1: 16x^3 y

2) Expression 2: 24 xy^5

Procedure:

1) find the greatest common factor of the coefficients, 16 and 24:

16 = 2^4

24 = (2^3)*3

=> greatest common factor = 2^3 = 8

2) find the greatest common factor of x^3 y and xy^5

That is the common letters each raised to the lowest power:

=> xy

3) Then, the result is 8xy

5 0

2 years ago

169= (24/2)^2 +(d/2)^2

OlgaM077 [116]

Answer: d = ±10

Step-by-step explanation:

169 = $(\frac{24}{2})^{2}$ + $(\frac{d}{2})^{2}$

169 = (12)² + $\frac{d^{2}}{4}$

169 = 144 + $\frac{d^{2}}{4}$

25 = $\frac{d^{2}}{4}$

100 = d²

√100 = √d²

±10 = d

6 0

2 years ago

Please help me answer this question

Oliga [24]

Answer:

Step-by-step explanation:

7 0

3 years ago

F(x) = x2 + 1 g(x) = 5-x (f+g)(x) = O x2 + x-4 x²+x+4 O x2-x+6 O x2 + x + 6

charle [14.2K]

Answer:

$\boxed{(f + g)(x) = {x}^{2} - x + 6}$

Given:

$f(x) = {x}^{2} + 1 \\ \\ g(x) = 5 - x$

To Find:

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

Step-by-step explanation:

$= > f(x) + g(x) = ({x}^{2} + 1) + (5 - x) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 1 + 5 - x\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 6 - x\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} - x + 6$

5 0

3 years ago

Find the missing side. Round your answer to the nearest tenths. X=

Lapatulllka [165]

Answer:

16.5 ≈ x

Step-by-step explanation:

We have a right triangle where we know 1 side, 1 angle and we need to find another side. We can use trigonometric functions to find the missing side.

The tangent function definition is

tan α = opposite side/ adjacent side

In our problem

tan 70° = x/ 6, multiply both sides by 6 to isolate x

6 · tan 70° = x, use the calculator (make sure is set in degrees)

16.4848 ≈ x , round to the nearest tenths

16.5 ≈ x

3 0

2 years ago