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3 years ago

The area of a rectangular patio is 3x2 + 17x + 20 ft2.

Mathematics

1 answer:

DaniilM [7]3 years ago

7 0

$3x^2+17x+20\\$ Your equation

$\left(3x^2+5x\right)+\left(12x+20\right)$ Simplify out the 17

$x\left(3x+5\right)+4\left(3x+5\right)$ Find the common number

$\left(3x+5\right)\left(x+4\right)$ These are your two answers

Your answer is B.

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Mr. Reich travels to and from work 5 days each week. If he drives his car, his weekly costs are $96 for gasoline, $19 for tolls

timofeeve [1]

It’s cheaper to take this bus. Compare 166 to 190

8 0

3 years ago

How much smaller is the sum of the first 1000 natural numbers than the sum of the first 1001 natural numbers?

aleksandr82 [10.1K]

ANSWER

1001

EXPLANATION

The sum of the first n - natural numbers is

$S_n= \frac{n}{2} (2a + d(n - 1))$

The sum of the first 1000 terms is

$S_{1000}= \frac{1000}{2} (2(1) + 1(1000 - 1))$

$S_{1000}=500 (1001)$

$S_{1000}=500500$

The sum of the first 1001 terms is

$S_{1001}= \frac{1001}{2} (2(1) + 1(1001 - 1))$

$S_{1001}= 1001 \times (501)$

$= 501501$

The difference is

$501501 - 500500= 1001$

5 0

3 years ago

Read 2 more answers

Sam and Nora leave their business office at the same time. Sam drives north at 35km/h, Nora drives south at 47km/h. How long unt

storchak [24]

<span>_award brainliest if helped!!
</span>Difference in speed = 47+35 = 82km/h
(They are going in opposite directions)
So they are drifting apart at rate of 82km/h
Time taken to be 50km apart = 50/82 = 0.6<span> h</span>

8 0

3 years ago

1. Round 543,829 to the nearest hundred

algol [13]

Answer:

543,800

Step-by-step explanation:

You have to look to the right of the hundreds place. If its 4 or below, go down if its 5 or up, the number goes up. Hope this helps! :D

3 0

3 years ago

94. Birth Rate of Unmarried Women In the United States, the birth rate B of unmarried women (births per 1000 unmarried women) fo

OLga [1]

Using concepts of quadratic equation, we have that:

a) The age of unmarried women with the highest birth rate 29 years.

b) The highest birth rate of unmarried women is of 65 births per 1000 unmarried women.

c) B(40) = 25.43, which means that the birth rate of unmarried women of age 40 is of 25.43 births per 1000 unmarried women.

The birth-rate for women of age a is given by:

$B(a) = -0.33a^2 + 19.17a - 213.37$

Which is a quadratic equation with coefficients $a = -0.33, b = 19.17, c = -213.37$

Item a:

The age with the highest value is the a-value for the vertex, which is:

$a_V = -\frac{b}{2a} = -\frac{19.17}{2(-0.33)} = 29$

The age of unmarried women with the highest birth rate 29 years.

Item b:

The rate is B(29), which is:

$B(29) = -0.33(29)^2 + 19.17(29) - 213.37 = 65$

The highest birth rate of unmarried women is of 65 births per 1000 unmarried women.

Item c:

$B(40) = -0.33(40)^2 + 19.17(40) - 213.37 = 25.43$

B(40) = 25.43, which means that the birth rate of unmarried women of age 40 is of 25.43 births per 1000 unmarried women.

A similar problem is given at brainly.com/question/24626341

4 0

3 years ago