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3 years ago

100 POINTS BRAINLIEST MATH PROBLEMS

Mathematics

2 answers:

True [87]3 years ago

7 0

Answer:

Given f(x) = 2x + 3 and g(x) = –x2 + 5, find ( f o f )(x).

( f o f )(x) = f ( f (x))

= f (2x + 3)

= 2( ) + 3 ... setting up to insert the input

= 2(2x + 3) + 3

= 4x + 6 + 3

= 4x + 9

Step-by-step explanation:

lisov135 [29]3 years ago

6 0

Since (f/g)(x) = f(x)/g(x) for x to be in the domain of (f/g)(x) it must be in the domain of f and in the domain of g. You also need to insure that g(x) is not zero since f(x) is divided by g(x). Thus there are 3 conditions. x must be in the domain of f: f(x) = 3x -5 and all real numbers x are in the domain of x.

Given f(x) = 2x + 3 and g(x) = –x2 + 5, find ( f o f )(x).
( f o f )(x) = f ( f (x))
= f (2x + 3)
= 2( ) + 3 ... setting up to insert the input
= 2(2x + 3) + 3
= 4x + 6 + 3
= 4x + 9
Given f(x) = 2x + 3 and g(x) = –x2 + 5, find (g o g)(x).
(g o g)(x) = g(g(x))
= –( )2 + 5 ... setting up to insert the input
= –(–x2 + 5)2 + 5
= –(x4 – 10x2 + 25) + 5
= –x4 + 10x2 – 25 + 5
= –x4 + 10x2 – 20

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Two brothers shared the coins in a piggy bank. Alan received 140 coins. When he gave 48 coins to his brother, the number of his

Musya8 [376]

Assume Alan's brother has x coins before Alan gave him 48 coins
x+48=1.4x (increased by 40%)
0.4x=48
x=120
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3 years ago

The points (10, -10) and (8, -10) fall on a particular line. What is its equation in slope-intercept form?

blondinia [14]

y = 0x - 10 is the equation in slope-intercept form given that the points (10, -10) and (8, -10) which fall on a particular line. This can be obtained by the formula of the slope-intercept form of the line.

<h3>What is its equation in slope-intercept form?</h3>

Linear equation is an equation that models a linear function.

In linear equation the variables are raised to the first power.

Example, Linear equation: 2x + 3, Not a linear equation: x² + 5

The graph of a linear equation contains all the ordered pair that are solutions of the equation.

The equation of a line is given by,

y = mx + c, m is the slope of the equation, c is the y intercept

m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$ , y intercept is the y coordinate of the point where y crosses the y axis.

Here in the question it is given that,

The points (10, -10) and (8, -10) fall on a particular line.

We have to find the equation in slope-intercept form.

Slope of the equation will be,

m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$ ⇒ m = $\frac{-10 -(-10) }{8 -10 }$ ⇒ m = 0

y-intercept of the equation will be,

y = mx + c ⇒ -10 = 0 + c ⇒ c = -10

The equation of the line in slope-intercept form will be,

y = 0x -10

Hence y = 0x - 10 is the equation in slope-intercept form given that the points (10, -10) and (8, -10) which fall on a particular line.

Learn more about slope-intercept form here:

brainly.com/question/9682526

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2 years ago

Round 0.5289 to the nearest thousandth.

Anit [1.1K]

Answer:

0.5289 to the nearest thousandth is 0.529.

Step-by-step explanation: If a number is less than 5, round down, but if a number is 5 or more, round up. The digit after the thousandths place is the digit we should look at to answer the question and it is 9, so we round up from 0.528 or 0.529. So, the answer is 0.529.

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3 years ago

A survey found that 12 out of 30 people preferred bacon over sausage. According to this survey, what percent of people pefer bac

Yakvenalex [24]

Answer: 40%

Step-by-step explanation:

first you symplify your fraction:

12/30 = 2/5

then divide your numerator from your denominator:

2÷5 =0.4

then you convert your decimal into a percentage:

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3 years ago

Help ill give brainliest and a thank you and 5 star if correct

Temka [501]

Answer:

85%

Step-by-step explanation:

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3 years ago