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4 years ago

Please help with these 5 questions about trinomials. Thank you so much! :)

Mathematics

1 answer:

Gnom [1K]4 years ago

5 0

Answer:

The answer to your question is below

Step-by-step explanation:

1.- (x + 2)(x + 4) = x² + 4x + 2x + 8 = x² + 6x + 8

2.- (m - 5)(m + 2) = m² + 2m - 5m - 10 = m² - 3m - 10

3.- (2x + 3)(4x - 2) = 8x² - 4x + 12x - 6 = 8x² + 8x - 6

4.- (2r - 3)(r + 12) = 2r² + 24r - 3r - 36 = 2r² + 21r - 36

6.- (k - 3)(k - 1) = k² - k - 3k + 3 = k² - 4k + 3

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What are the solutions of the quadratic equation (x – 8)2 – 13(x – 8) + 30 = 0? Use u substitution to solve. x = –11 and x = –18

Serggg [28]

Answer:

x=11 and x=18

Step-by-step explanation:

The given quadratic equation is;

$(x-8)^2-13(x-8)+30=0$

Let u=(x-8)

$u^2-13u+30=0$

Split the middle term;

$u^2-10u-3u+30=0$

Factor by grouping

$u(u-10)-3(u-10)=0$

$(u-10)(u-3)=0$

We have either u=10 or u=3

This implies that;

x-8=10 or x-8=3

x=10+8 or x=3+8

x=18 or x=11

8 0

4 years ago

Read 2 more answers

Lixins monthly income consists of a basic salary of $500 and a commission of 4percent on her sales for the month.If her income i

Harman [31]

Answer:

Lixins monthly sales = $18,000

Step-by-step explanation:

Let x be the total sales.

Given:

Basic salary = $500

Commission on sales = 4% = 0.04

Monthly income = $1220

We need to find her sales for the month.

Solution:

First we write the equation for given situation:

$Total\ sales = Basic\ Salary + 0.04(Total\ sales)$

$S = 500 + 0.04x$

$1200=500+0.04x$

$0.04x=1220-500$

$0.04x=720$

$x = \frac{720}{0.04}$

$x = \$18,000$

Therefore, Lixins monthly sales are $18,000.

8 0

3 years ago

PLEASE HELP NO FAKE ANSWERS PLEASE

vova2212 [387]

3 • (2x + 1) • (x + 7

6 0

3 years ago

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Ivan has 15 yards of green felt and 12yards of blue felt to make 3 quiltsif ivan uses the same total number of yards for each qu

Juliette [100K]

ivan used 5 yards of green for each quilt and 4 yards of blue for each quilt.

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3 years ago

The diameter of a cylinder is 4 centimeters. The height is 12 centimeters. Using 3.14 for pi, what is the volume of the cylinder

erica [24]

Answer:

V = 150.72 cm³.

Step-by-step explanation:

First, get the volume of a cylinder.

V = πr²h

Where:

π = 3.14 (given)

r = radius (half of diameter, or 2)

h = height (12)

Knowing this, substitute the known values.

V = πr²h

V = (3.14)(2²)(12)

Square 2.

V = (3.14)(4)(12)

Multiply 3.14 and 4.

V = (12.56)(12)
Multiply 12.56 and 12.

V = 150.72.

Since it is already rounded to the nearest hundredth, that is your answer.

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2 years ago