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4 years ago

What is the product?

Mathematics

1 answer:

SVETLANKA909090 [29]4 years ago

3 0

Answer:

The product of the expression is -12s² + 11st - 2t²

Step-by-step explanation:

(-3s + 2t)(4s - t)

Use the foil method to multiply the terms. So, we distribute -3s to (4s - t) and we will also distribute 2t to (4s - t) as well.

-12s² + 3st + 8st - 2t²

Now combine like terms.

-12s² + 11st - 2t²

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Solve 4 + 3n ≥ 1 for n.

ludmilkaskok [199]

Hi,

4 + 3n ≥ 1

3n ≥ - 3

n ≥ -3/3

n ≥ - 1

4 0

3 years ago

If the numerator of a fraction is increased by six, the value of the fraction will increase by one. If the denominator of the or

Alchen [17]

Answer:

$\dfrac{7}{6}$

Step-by-step explanation:

Let $\dfrac{a}{b}$ be the original fraction.

If the numerator of a fraction is increased by six, the value of the fraction will increase by one. Hence,

$\dfrac{a+6}{b}=\dfrac{a}{b}+1$

If the denominator of the original fraction is increased by 36, the value of the original fraction will decrease by one. Hence,

$\dfrac{a}{b+36}=\dfrac{a}{b}-1$

Add these two equalities:

$\dfrac{a+6}{b}+\dfrac{a}{b+36}=\dfrac{a}{b}+1+\dfrac{a}{b}-1\\ \\\dfrac{a+6}{b}+\dfrac{a}{b+36}=2\dfrac{a}{b}\\ \\\dfrac{a}{b+36}=\dfrac{2a-(a+6)}{b}\\ \\\dfrac{a}{b+36}=\dfrac{a-6}{b}\\ \\ab=(a-6)(b+36)\\ \\ab=ab+36a-6b-216\\ \\36a-6b-216=0\\ \\6a-b-36=0\\ \\b=6a-36$

Substitute it into the first equation:

$\dfrac{a+6}{6a-36}=\dfrac{a}{6a-36}+1\\ \\\dfrac{a+6}{6(a-6)}=\dfrac{a}{6(a-6)}+1\\ \\a+6=a+6(a-6)\\ \\a+6=a+6a-36\\ \\6a=6+36\\ \\6a=42\\ \\a=7\\ \\b=6\cdot 7-36=42-36=6$

Thus, the initial fraction was

$\dfrac{7}{6}$

6 0

4 years ago

Given that the area of a trapezoid is given by the formula A = 1/ 2 h(b1 + b2), what is the value of A if h = 2 cm, b1 = 3, and

Wewaii [24]

Answer:

A=7

Step-by-step explanation:

A=1/2h(b1+b2)

plug in what you know

A=1/2x2(3+4)

PEMDAS

A=1/2x2(7)

A=1/2x14

A=7

8 0

4 years ago

Determine whether the graph represents a linear or nonlinear function

AfilCa [17]

I think it is liner because it is a straight line no curves

6 0

3 years ago

Read 2 more answers

A line passes through the point (0,5) and has a slope of -1/2 which is the equation of the line in slope intercept form?

Nana76 [90]

equation of line in slope intercept form is

y = mx + c

where m is slope.

putting point (0,5) in equation

5 = m × 0 + c

c = 5

now equation is

y = mx +c

y = (-1/2)x + 5

answer is option D

4 0

3 years ago