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3 years ago

13

Consider the inequality -5(x+7)<-10 write inequality representing a solution for x

1 answer:

dedylja [7]3 years ago

6 0

Perform indicated multiplication on left side first...

-5x-35<-10 add 35 to both sides

-5x<25 divide both sides by -5 (you must reverse sign because of division by a negative value too!)

x>5 or if you prefer...

x=(5, +oo)

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H² = P²+B²
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3 years ago

The formula for the future value V (in dollars) of an investment earning simple interest is V=p+prt, where p (in dollars) is the

serious [3.7K]

Answer:

A. $p=\dfrac{V}{1+rt}$

B. $2,307.69

Step-by-step explanation:

You are given the formula

$V=p+prt,$

where V = investment earning simple interest

p = principal,

r = interest rate

t = time

So,

A. $V=p(1+rt)\\ \\p=\dfrac{V}{1+rt}$

B. r = 0.06 (or 6% as percent)

V = $3,000

t =5

so,

$3,000=p+p\cdot 0.06\cdot 5\\ \\3,000=p+0.3p\\ \\1.3p=3,000\\ \\p=\dfrac{3,000}{1.3}\approx 2,307.69$

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3 years ago

Can you check my answers and help with number 3?

mamaluj [8]

Answer: Question 1 :B,D.

Question 2:option B,

Question 3:Degree=5.

Question 4:option D.

Question 5: option c.

Step-by-step explanation:

1) A polynomial can not have any exponent as a variable or a fraction.

Options B and D are polynomials.

2) The polynomial is having 3 terms and is of degree 3.so it is a cubic trinomial Option B.

3) Degree is the highest power of the variables in the terms .The term $6x^{3} y^{2}$ has the power=3+2=5

So degree =5.

4) $(5x-2+3x^{2} )+(4x+3)=3x^{2} +5x+4x-2+3=3x^{2}+9x+1.$

Option D

5) $(5x^{2} +2x-5)-(3x^{2}+3x+1)= 5x^{2}+2x-5-3 x^{2}-3x-1$

Simplifying like terms,

= $2x^{2}-x-6.$

Option c.

6 0

3 years ago