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2 years ago

Find (f+g)(x). f(x) = 1 - x g(x) = x^2 + 2x-5

Mathematics

1 answer:

Romashka [77]2 years ago

6 0

Answer:

(f + g)(x) = x² + x - 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Terms/Coefficients
Functions
Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 1 - x

g(x) = x² + 2x - 5

(f + g)(x) is f(x) + g(x)

Step 2: Solve

Substitute in functions: (f + g)(x) = (1 - x) + (x² + 2x - 5)
Combine like terms (x): (f + g)(x) = x² + x - 5 + 1
Combine like terms: (f + g)(x) = x² + x - 4

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Use the diagram to find the height of statue.round to the nearest tenth

jeyben [28]

Answer:

7.3 ft

Step-by-step explanation:

The information given represents a right angle triangle with the following:

reference angle = 52°

Adjacent side length = 5.7 ft.

Opposite side length = height of the statue = h

Applying the trigonometric ratio formula, we would have:

$tan(52) = \frac{h}{5.7}$

Multiply both sides by 5.7

$tan(52) \times 5.7 = \frac{h}{5.7} \times 5.7$

$tan(52) \times 5.7 = h$

$h = 7.3 ft$ (nearest tenth)

6 0

2 years ago

What’s (19x+3x)-(56-9x)=Y?

12345 [234]

12x - 56 = y. Hope it helps! :) If you could vote my answer as the brainiest, that would be awesome! :)

6 0

3 years ago

Read 2 more answers

What is the equation of this line

photoshop1234 [79]

Answer:

$y = -\frac{4}{3}x + 4$

Step-by-step explanation:

Use the slope-intercept form to write the equation if the line of the graph given.

$y = mx + b$ , where,

b = y-intercept, which is where the line cuts across the y-axis = 4.

m = slope = $\frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 4}{3 - 0} = \frac{-4}{3}$

Substitute m = ⁴/3 and b = 4, into the slope-intercept formula to get the equation of the line:

$y = mx + b$

$y = -\frac{4}{3}x + 4$

8 0

2 years ago

I only need 12 and 17, first good response i will give brainliest please i’m desperate

Mumz [18]

Answer:

$\textsf{12.} \quad y = 6x - 5$

$\textsf{17.} \quad y=-\dfrac{1}{4}x-2$

Step-by-step explanation:

<h3>Question 12</h3>

Find the slope of the line by substituting two points from the given table into the slope formula.

Define the points:

Let (x₁, y₁) = (2, 7)
Let (x₂, y₂) = (3, 13)

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{13-7}{3-2}=\dfrac{6}{1}=6$

Substitute the found slope and point (2, 7) into the point-slope formula to create an equation of the line:

$\implies y-y_1=m(x-x_1)$

$\implies y-7=6(x-2)$

$\implies y-7=6x-12$

$\implies y=6x-5$

<h3>Question 17</h3>

Given:

f(4) = 3
f(0) = -2

Therefore, two points on the line are:

(4, -3)
(0, -2)

The y-intercept is the y-value when x = 0.

Therefore, the y-intercept of the line is -2.

$\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}$

Substitute the y-intercept and the point (4, 3) into the slope-intercept formula and solve for m to find the slope:

$\implies y=mx+b$

$\implies -3=m(4)-2$

$\implies -1=4m$

$\implies m=-\dfrac{1}{4}$

Therefore, the equation of the line is:

$y=-\dfrac{1}{4}x-2$

7 0

10 months ago

NO LINKS!!! PLS HELP ME IM TRYING TO GRADUATE PLSSS !!! Find the midpoint of the segment below and enter its coordinates as an

Leto [7]

Answer:

x = 5/2 , y = -7/2

Step-by-step explanation:

r's your solution

=> formula for finding midpoint =.( X1 + X2/)/2 , (Y1+Y2)/2

=> putting the value of in formula

=> x= 4+1/2 , y = -1-6/2

=> x = 5/2 , y = -7/2

hope it helps

3 0

3 years ago