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Alina [70]
3 years ago
8

What is the product of 5x + 3 and 8x2 – 2x + 5? A) 40x3 + 14x2 – 19x – 15 B) 40x3 + 14x2 – 31x – 15 C) 40x3 + 34x2 + 31x + 15 D)

40x3 + 14x2 + 19x + 15

Mathematics
2 answers:
kenny6666 [7]3 years ago
8 0

Answer:

D is the answer

Step-by-step explanation:

zimovet [89]3 years ago
3 0

Answer: D: 40x3 +14x2+19x+15

Step-by-step explanation:

(5x + 3) (8x2 - 2x + 5)

5x ( 8x2 - 2x + 5) +3 ( 8x2 - 2x + 5)

expanding the bracket

(40x3 - 10x2 + 25x) + ( 24x2 - 6x +15)

removing the bracket

40x3 - 10x2 + 25x + 24x2 - 6x + 15

collecting like terms

40x3 - 10x2 + 24x2 + 25x - 6x + 15

40x3 + 14x2 +19x + 15

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Step-by-step explanation:

Look at the attached image, the red line represents a function of the form:

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If we perform the transformation y = f(x) +1 then the graph of y is equal to the graph of f(x) displaced 1 unit up. Then the new cutting point with the axis y will be: (0, 2) as shown in the attached image (blue line)

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Finally the answer is the first option

4 0
3 years ago
Noah earned w dollars over the summer. Mai earned x dollars, which is y dollars more than
Wewaii [24]

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Step-by-step explanation:

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4 0
3 years ago
The base of a right pyramid is a regular hexagon with sides of length 12 m. The altitude is 6 m. Find the total surface area of
Eva8 [605]

Answer:

806.12 m

Step-by-step explanation:

<u>Step 1: Write the data</u>

<em>Side (s) = 12</em>

<em>Altitude (h) = 6</em>

<u>Step 2: Write the formula for surface area of right hexagonal pyramid</u>

<em>Area = 3√3/2*s² + 3*s*√(h²+3s²/4)</em>

<u>Step 3: Substitute values of 's' and 'h'</u>

<em>Area = 3√3/2*(12)² + 3*(12)*√[6²+3(12)²/4]</em>

Area = 806.12 m

Therefore, the total surface area of the pyramid is 806.12 m.

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4 0
3 years ago
I made some brownies and cookies to sell for a local fundraiser. The cookies sold for $0.75 each and the brownies sold for $1.25
juin [17]

Answer:

Brownies made the most money

Step-by-step explanation:

Let c = cookies

b = brownies

We sold 51 items  so c+b = 51

Cookies are .75  and brownies are 1.25

.75c + 1.25 b = 53.25

We have 2 equations and 2 unknowns

c = 51-b

Substituting into the second equation

.75(51-b) + 1.25b = 53.25

Distribute

38.25-.75b +1.25b = 53.25

Combine like terms

38.25+.5b = 53.25

Subtract 38.25 from each side

38.25 +.5b -38.25 = 53.25 -38.25

.5b =15

Divide each side by .5

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b = 30

Now find c

c =51-b

c = 51-30

c = 21

They sold 30 brownies and 21 cookies

30 brownies * 1.25 =37.50

21 cookies *.75 = 15.75

Brownies made the most money

3 0
3 years ago
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