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dangina [55]
3 years ago
6

please answer the question on the screenshot below, also please explain to me how you got your answer.

Mathematics
1 answer:
frutty [35]3 years ago
5 0

QUESTION 1

The given functions are;

f(x)=5x^2-2x and g(x)=5x^2+x-4

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

(f+g)(x)=5x^2-2x+3x^2+x-4

We regroup like terms to obtain;

(f+g)(x)=5x^2+3x^2-2x+x-4

This simplifies to;

(f+g)(x)=8x^2-x-4

The correct answer is A.

QUESTION 2

The given functions are;

f(x)=3x^2+5 and g(x)=x-2.

(fg)(x)=(f(x))(g(x))

This implies that;

(fg)(x)=(3x^2+5)(x-2)

\Rightarrow (fg)(x)=3x^3-6x^2+5x-10

The correct answer is B.

QUESTION 3

The given functions are

f(x)=3x^2+10x-8 and g(x)=3x^2-2x.

(\frac{f}{g})(x)=\frac{f(x)}{g(x)}

(\frac{f}{g})(x)=\frac{3x^2+10x-8}{3x^2-2x},x\ne0,\frac{2}{3}

We factor to obtain;

(\frac{f}{g})(x)=\frac{(x+4)(3x-2)}{x(3x-2)},x\ne0,\frac{2}{3}

We cancel the common factors to obtain;

(\frac{f}{g})(x)=\frac{x+4}{x},x\ne0,\frac{2}{3}

The correct answer is A.

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Emily bought some ice cream cones which cost $24. she paid $m and got back $6 of change. Find m​
maria [59]

Answer:

m = 30

Step-by-step explanation:

total = 24

m = amount paid

change = 6

m - 6 = 24

<u>      +6    +6</u>

m = 30

<em><u>Hope this helped! Have a nice rest of ur day! Plz mark as brainliest!!!</u></em>

<em><u>-Lil G</u></em>

7 0
3 years ago
what is the slope of a 5-foot high platform that begins at ground level 10 feet from the base of the platform?​
Sladkaya [172]

Answer:

11.2 feet

Step-by-step explanation:

Given: Height of platform (Opposite)= 5 foot

            Distance of slope from the base of platform (adjacent)= 10 feet

Picture drawn to show the measurement.

Lets find the length of slope.

Using the Pythagorean theoram.

hypotenous^{2} = opposite^{2} + adjacent^{2}

Subtituting the value in the formula.

hypotenous^{2} = 5^{2} + 10^{2}

⇒ hypotenous^{2} = 25 + 100

⇒ hypotenous^{2} = 125

Putting square root on both side

We know, √a²= a

⇒ hypotenous = \sqrt{125}

∴ hypotenous= 11.18 \approx 11.2 \ feet

Hence, the slope is 11.2 feet

8 0
3 years ago
I am interested in a new van that costs $32,500. The salesman says he will give it to me for $27,950. What is the percent discou
timurjin [86]

Answer:

The salesman is giving you a 14% discount

Step-by-step explanation:

Do 27950/32500 to get 0.86

Then do 1-0.86=0.14

Multiply by 100 to get 14%

Hope this helped!

7 0
3 years ago
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the function FX Has a slope of negative 2 &amp; a y-intercept of two what is the slope of it in the y intercept
Pavel [41]
Idk the answer sorry.
5 0
3 years ago
You go to the shops on Monday and buy 1 apple, 1 banana, and 1 carrot; the whole transaction totals €15. On Tuesday you buy 3 ap
r-ruslan [8.4K]

<em>Your question is incomplete. Please find the missing content below</em>

You go to the shops on Monday and buy 1 apple, 1 banana, and 1 carrot; the whole transaction totals €15. On Tuesday you buy 3 apples, 2 bananas, 1 carrot, all for €28. Then on Wednesday 2 apples, 1 banana, 2 carrots, for €23.

Construct a matrix and vector for this linear algebra system.

Matrix is A = [ [ A₁₁ , A₁₂ , A₁₃]

                      [ A₂₁ , A₂₂ , A₂₃]

                      [ A₃₁ , A₃₂ , A₃₃] ]

Vector S = [sMon , sTue , sWed]

(i) consider A as fruits

A₁₁ = 1

A₁₂ = 1

A₁₃ = 1

A₂₁ = 3

A₂₂ = 2

A₂₃ = 1

A₃₁ = 2

A₃₂ = 1

A₃₃ = 2

(ii) Consider s as days

sMon = 15

sTue  = 28

sWed = 23

Hence the matrix and vector is:  A = [ [ A₁₁ , A₁₂ , A₁₃]

                                                           [ A₂₁ , A₂₂ , A₂₃]

                                                           [ A₃₁ , A₃₂ , A₃₃] ]

Vector S = [sMon , sTue , sWed]

Learn more about "linear equations using matrix" here-

brainly.com/question/27929071

#SPJ10

4 0
1 year ago
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