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2 years ago

5

Select all the points that are on the graph of the line: 2x + 4y=20

1 answer:

Firlakuza [10]2 years ago

5 0

Answer:

B=10

Step-by-step explanation:

worked it out on a graph on the internet

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3(x-2) >-3 <br><br> Anyone could help

yan [13]

3(x - 2) > -3

...multiply 3

3x - 6 > -3

...add 6

3x > 3

...divide 3

x > 1

3 0

3 years ago

Read 2 more answers

A research company surveys 8,000 people. The company expects 6,000 people to respond favorably. If there is a percent error of 2

Aliun [14]

Answer:

400

Step-by-step explanation:

6/8 = 0.75 or 75% expected to respond favorably.

Margin of error 2.5%:

Lower bound: 0.75 - .025 = 0.725

Upper bound: 0.75 + .025 = 0.775

Range:

Lower bound: 8000 * 0.725 = 5800

Upper bound: 8000 * 0.775 = 6200

6200 - 5800 = 400

8 0

2 years ago

F (a)=2a^2-16a+32<br> For which 'a' is this equation 0?

sergiy2304 [10]

If xy=0 assume that at leas 1 is zero
set it to zero

0=2a^2-16a+32
undistribute 2
0=2(a^2-8a+16)
2*0=0 so assume
a^2-8a+16=0
factor
(a-4)(a-4)=0
set to zero
a-4=0
a=4

when a=4, equation equals zero

7 0

3 years ago

Find the indicated nth partial sum of the arithmetic sequence.<br> −7, −3, 1, 5, . . ., n = 30

TiliK225 [7]

Step-by-step explanation:

Given the Arithmetic sequence

$-7, -3, 1, 5, . . .$

An arithmetic sequence has a constant difference d and is defined by

$a_n=a_1+\left(n-1\right)d$

$\mathrm{Compute\:the\:differences\:of\:all\:the\:adjacent\:terms}:\quad \:d=a_{n+1}-a_n$

$-3-\left(-7\right)=4,\:\quad \:1-\left(-3\right)=4$

$\mathrm{The\:difference\:between\:all\:of\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}$

$d=4$

$\mathrm{The\:first\:element\:of\:the\:sequence\:is}$

$a_1=-7$

as

$a_n=a_1+\left(n-1\right)d$

$\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:$

$a_n=4\left(n-1\right)-7$ ∵ $d=4$

$\mathrm{Arithmetic\:sequence\:sum\:formula:}$

$n\left(a_1+\frac{d\left(n-1\right)}{2}\right)$

$\mathrm{Plug\:in\:the\:values:}$

$n=30,\:\space a_1=-7,\:\spaced=4$

$=30\left(-7+\frac{4\left(30-1\right)}{2}\right)$

$=30\left(58-7\right)$ ∵ $\frac{4\left(30-1\right)}{2}=58$

$=30\cdot \:51$

$=1530$ ∵ $\mathrm{Multiply\:the\:numbers:}\:30\cdot \:51=1530$

Therefore, the indicated nth partial sum of the arithmetic sequence is 1530.

ANOTHER METHOD

as

$a_n=4\left(n-1\right)-7$

n = 30

$\sum _{n=1}^{30}\:4\left(n-1\right)-7$

$=\sum _{n=1}^{30}4n-11$

$\mathrm{Apply\:the\:Sum\:Rule}:\quad \sum a_n+b_n=\sum a_n+\sum b_n$

$=\sum _{n=1}^{30}4n-\sum _{n=1}^{30}11$

as

$\sum _{n=1}^{30}4n=1860$

and

$\sum _{n=1}^{30}11=330$

so

$=1860-330$

$=1530$

7 0

3 years ago

1.Use the distributive property to evaluate: 7(-1-3)

Leona [35]

Answer:

-28

Step-by-step explanation:

7x-1=-7

7x-3= -21

3 0

3 years ago