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3 years ago

If ƒ(x) = x − 4 and g(x) = 3x + 5, find (ƒ + g)(x).

Mathematics

2 answers:

siniylev [52]3 years ago

7 0

Answer:

$(f+g)(x)=4x+1$

Step-by-step explanation:

We are given the two functions:

$f(x)=x-4\text{ and } g(x)=3x+5$

And we want to find:

$(f+g)(x)$

This is equivalent to:

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

By substitution:

$=(x-4)+(3x+5)$

Rearranging yields:

$=(x+3x)+(-4+5)$

Combine like terms:

$=4x+1$

Hence:

$(f+g)(x)=4x+1$

kvv77 [185]3 years ago

3 0

Answer:

please refer to the above attachment

$\boxed{(4x + 1) \: is \: the \: right \: answer.}$

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What is the factorization??

aivan3 [116]

We first find the zeros of the function , the zeros of the function are those at which points the graph of the function crosses or touches the x axis

here we can see in the graph that graph crosses the x axis at two points , 1 and 7

So the zeros of the function are

x=1 and x=7

It means the factor are

(x-1) and (x-7)

So the factorization is given by

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3 years ago

The first eight quizzes in this class had average scores of 8,9,9,8,8,9,8,7. This gives a sample mean of 8.25 and a sample stand

alexira [117]

Answer:

Test statistic

$t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }$

t = 1.076

Step-by-step explanation:

Step(i):-

Given Mean of the Population (μ) = 8.0

Mean of the sample (x⁻) = 8.25

Given data

8,9,9,8,8,9,8,7

Given sample size n= 8

Given sample standard deviation(S) = 0.661

Step(ii):-

Null hypothesis : H: (μ) = 8.0

Alternative Hypothesis :H:(μ) > 8.0

Degrees of freedom = n-1 = 8-1=7

Test statistic

$t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }$

$t = \frac{8.25 -8.0}{\frac{0.661}{\sqrt{8} } }$

t = 1.076

Critical value

t₍₇,₀.₀₅₎ = 2.3646

The calculated value t = 1.076 < 2.3646 at 0.05 level of significance

Null hypothesis is accepted

Test the hypothesis that the true mean quiz score is 8.0 against the alternative that it is not greater than 8.0

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3 years ago

Steel loading ramps are used to load a

tia_tia [17]

Answer:

6.25 feet.

Step-by-step explanation:

Let L be the length of the ramp in feet.

We have been given that steel loading ramps are used to load a lawn mower onto a truck bed 37.5 inches above the ground. The ramp make a 30° angle with the ground.

We can see from our attachment that ramp and truck bed forms a right triangle with ground. The truck bed is opposite side and length of ramp is hypotenuse of our given angle.

Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use Sine to solve for L.

Upon substituting our given values in above formula we will get,

Therefore, the length of the ramp is 75 inches.

Let us convert the length of ramp in feet.

1 feet = 12 inches.

Therefore, the length of the ramp is 6.25 feet.

6 0

3 years ago

Work out the difference between 38.3 and 1.72

Bumek [7]

Answer:

36.58

Step-by-step explanation:

38.3-1.72=36.58

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2 years ago

Read 2 more answers

Suppose the local Barons team wins every game they play with a probability of 0.75. What is the probability that the Barons woul

kondaur [170]

Answer:

The probability is 0.173

Step-by-step explanation:

The probability is of winning is 0.75 = 75/100 = 3/4

This means that the probability of losing is 0.25 = 25/100 = 1/4

So if they are two win 4 games, they will lose three

We can get this probability using the Bernoulli approximation of the binomial theorem

So here, we have

P(X = 4) = 7 C 4 * 0.75^4 * 0.25^3

= 0.173034667969

which is approximately 0.1730

6 0

3 years ago