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AleksAgata [21]
3 years ago
10

1) The domain for f(x) and g(x) is the set of all real numbers. Let f(x) = 2x-3 and g(x) = 3x+8. Find f(x) multiplied by g(x). 2

) The domain for f(x) and g(x) is the set of all real numbers. Let f(x) = x^2+x-20 and g(x)=x+5. Find f(x)/g(x) <-- (this is a fraction.) 3) Evaluate the piecewise function at x=-3 and x-11. 4) Find the inverse of the function. F(x) = 3x+7.
Mathematics
1 answer:
Elena-2011 [213]3 years ago
3 0

Answer:

1)6x^2+7x-24

2) x-4

3)  f(-3)=-14 g(-3)=2 f(-3)/g(-3)=-7 and p(-3)=-3-4=-7

f(-11)=90 g(-11)=-6 f(-11)/g(-11)=-15 and p(-11)=-11-4=-15

4)f'(x)=(x-7)/3

Step-by-step explanation:

1) f(x)=2x-3 g(x)=3x+8

f(x)*g(x)=m(x)=(2x-3)(3x+8)=6x^2+16x-9x-24=6x^2+7x-24

2) f(x)=x^2+x-20 g(x)=x+5

f(x)/g(x)=p(x)=(x^2+x-20)/(x+5)=> by finding the roots of f(x) we obtain =

(x-4)(x+5)/(x+5)--->f(x)/g(x)=p(x)=(x-4)

3) f(-3)=-14 g(-3)=2 f(-3)/g(-3)=-7 and p(-3)=-3-4=-7

f(-11)=90 g(-11)=-6 f(-11)/g(-11)=-15 and p(-11)=-11-4=-15

4) If a function f(x) is mapping x to y, then the inverse function of f(x) maps y back x

y=3x+7

(y-7)/3=x=--> f'(x)=(x-7)/3

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Select all of the statements that are true for the given parabola.
svet-max [94.6K]

Answer:

A and B

Step-by-step explanation:

The minimum occurs at the turning point ( vertex )

The coordinates of the vertex are (1, - 2 ) → A

The x- intercepts are the points where the graph crosses the x- axis

This occurs at (3, 0 ) and (- 1, 0 ) → B

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Equation of axis of symmetry is x = 1 , not y = - 2

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5 0
3 years ago
Dollar Dress Shop’s inventory at cost on January 1 was $82,800. Its retail value was $87,500. During the year, Dollar purchased
lorasvet [3.4K]

The inventory of Dollar Dress Shop at cost when the retail method is used is $117, 500.

<h3>How to find the inventory cost?</h3>

When using the Retail method to find the inventory at cost, the Beginning inventory, the purchases, and the net sales are used.

The formula for finding the cost of inventory using the retail method is:

= Beginning inventory + Purchases - Net sales

= $ 87, 500 + $ 325, 000 - $ 295, 000

= $117, 500

The inventory cost of Dollar Dress Shop with the retail method is $ 117, 500.

Find out more on inventory cost at brainly.com/question/20318114

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6 0
10 months ago
Read 2 more answers
R is the interior of angle TUV. The measure of RUV=30degrees, the measure of TUV=3x+16, and the measure of TUR=x+10. Find x and
choli [55]

Given

R is the interior of ∠ TUV.

m∠ RUV=30degrees, m∠ TUV=3x+16, and m∠ TUR=x+10.

Find the value of x and the m ∠TUV.

To proof

As given in the question

m ∠TUV=3x+16, and m ∠TUR=x+10

thus

m∠ RUV =  m∠ TUV - m∠ TUR

            = 3x + 16 - x -10

            = 2x + 6

As given

m ∠RUV=30°

compare both the values

we get

30 = 2x + 6

24 = 2x

12 = x

put this value in the m ∠TUV= 3x+16

m ∠TUV= 12× 3 +16

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Hence proved


7 0
2 years ago
 10  points for this                                                                                                            
kow [346]
<span>The range would be all real numbers such that 0 ≤ y ≤ 40.

hope this helps!</span>
3 0
3 years ago
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In a quiz contest, 4 marks were awarded for a correct answer and -2 marks were given for an incorrect answer. If James gave 5 in
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9514 1404 393

Answer:

  10

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For c correct answers and 5 incorrect answers, James's score is ...

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