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koban [17]
3 years ago
9

Simplify: (x-4) (x^2+3x+5)

Mathematics
1 answer:
schepotkina [342]3 years ago
6 0

(x-4)(x^2+3x+5)

=(x^3+3x^2+5x-4x^2-12x-20)

=(x^3-x^2-7x-20)

Hope this helps!

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Faruq spends all of his income on tacos and milkshakes. His income is $100, the price of tacos is $10, and the price of milkshak
il63 [147K]

Answer:

The correct answer is 10.

Step-by-step explanation:

Faruq spends all of his income ($100) on tacos and milkshakes.

Price of tacos is $10, and the price of milkshakes is $2.

Let Faruq buy x number of tacos (horizontal axis) and y number of milkshakes (vertical axis).

Total expenditure of Faruq is given by 10 × x + 2 × y.

Since Faruq does not save anything, therefore his expenditure is equal to his income.

Thus his budget line is given by 10 × x + 2 × y = 100.

To calculate the horizontal intercept for Faruq's budget line we consider     y = 0, i.e. we want to calculate how many tacos Faruq would buy when he does not buy any amount of milkshakes.

Thus taking y = 0, we get

10 × x = 100

⇒ x = 10

Thus the horizontal intercept for Faruq's budget line is 10.

8 0
3 years ago
Find the value of the variable that makes the equation true 3x-11=-2x+19
DaniilM [7]

Answer:

x = 6

Step-by-step explanation:

Given

3x - 11 = - 2x + 19 ( add 2x to both sides )

5x - 11 = 19 ( add 11 to both sides )

5x = 30 ( divide both sides by 5 )

x = 6

4 0
3 years ago
If A ( 3, 5) and B (1, 4) lie on the graph of the line mx+cy = 7, find m and c​
Diano4ka-milaya [45]

Answer:

m = -1, c = 2

Step-by-step explanation:

if A ( 3, 5) and B (1, 4) lie on the graph of the line mx + cy = 7, then their coordinates satisfy the equation of the line:

A: 3m+5c=7

B: m+4c=7

From the second equation:

m=7-4c

Substitute it into the first equation:

3(7-4c)+5c=7\\ \\21-12c+5c=7\\ \\-12c+5c=7-21\\ \\-7c=-14\\ \\c=2\\ \\m=7-4\cdot 2=7-8=-1

3 0
3 years ago
Help please I need this as soon as possible ​
Alex787 [66]

Answer:

A: y= 2x +4

Step-by-step explanation:

Hopefully this helps!

5 0
3 years ago
Read 2 more answers
The perimeter of a rectangle is represented by 4x^2+5x-2. The perimeter of a smaller rectangle is represented by x^2+3x+5. Which
crimeas [40]

a is correct

Step-by-step explanation:

Area of Bigger rectangle = 4x2 + 5x - 2

Area of Smaller rectangle = x2 + 3× + 5

diff. = ( 4x2 + 5x - 2) - (x2 + 3x - 5)

= 4x2 + 5x -2-x2 - 3x - 5

= 3x2 + 2x - 7

4 0
3 years ago
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