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2 years ago

What is the equation of the graphed line in standard form?

Mathematics

2 answers:

Alona [7]2 years ago

7 0

A. 12x+y=6B. −2x+y=6

sweet [91]2 years ago

4 0

Answer:

$\frac{1}{2}x-y=-6$

Step-by-step explanation:

Let

$A(0,6),B(4,8)$ ------> observing the graph

The point A is the y-intercept of the line

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{8-6}{4-0}$

$m=\frac{2}{4}$

$m=\frac{1}{2}$

Find the equation of the line into slope-intercept form

$y=mx+b$

we have

$m=\frac{1}{2}$

$b=6$ ------> remember point A

substitute

$y=\frac{1}{2}x+6$

Convert to standard form

$\frac{1}{2}x-y=-6$

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Jessie has some nickels, dimes, and quarters in her bank. The number of coins is 30. The expression 0.05n + 0.10d + 0.25q repres

goldfiish [28.3K]

Answer:

n = 12 nickels

d = 11 dimes

q = 7 quarters

Step-by-step explanation:

.05n + .1d + .25q = 3.45

n + d + q = 30

n = q + 5

n = 12

d = 11

q = 7

8 0

2 years ago

A manager wants to know if the mean productivity of two workers is the same. For a random selection of 30 hours in the past mo

vekshin1

Answer:

A.The data should be treated as paired samples. Each pair consists of an hour in which the productivity of the two workers is compared.

Explanation:

If the mean productivity of two workers is the same.

For a random selection of 30 hours in the past month, the manager compares the number of items produced by each worker in that hour.

There are two samples and the productivity of the two men is paired for each hour.

7 0

2 years ago

Which formula can be used to find the nth term of a geometric sequence where the fifth term is 1/6 and the common ratio is 1/4?

OlgaM077 [116]

Answer:

$a_n = 16(\frac{1}{4})^{n - 1}$

Step-by-step explanation:

Given:

Fifth term of a geometric sequence = $\frac{1}{16}$

Common ratio (r) = ¼

Required:

Formula for the nth term of the geometric sequence

Solution:

Step 1: find the first term of the sequence

Formula for nth term of a geometric sequence = $ar^{n - 1}$ , where:

a = first term

r = common ratio = ¼

Thus, we are given the 5th term to be ¹/16, so n here = 5.

Input all these values into the formula to find a, the first term.

$\frac{1}{16} = a*\frac{1}{4}^{5 - 1}$

$\frac{1}{16} = a*\frac{1}{4}^{4}$

$\frac{1}{16} = a*\frac{1}{256}$

$\frac{1}{16} = \frac{a}{256}$

Cross multiply

$1*256 = a*16$

Divide both sides by 16

$\frac{256}{16} = \frac{16a}{16}$

$16 = a$

$a = 16$

Step 2: input the value of a and r to find the nth term formula of the sequence

nth term = $ar^{n - 1}$

nth term = $16*\frac{1}{4}^{n - 1}$

$a_n = 16(\frac{1}{4})^{n - 1}$

3 0

2 years ago

Find the value of x. 48° (7x + 13)

Pavel [41]

Answer:

336x + 624

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Somebody help me solve;

Nadya [2.5K]

P(at least 5 rolls until 1) = P(4 rolls are not 1) = 5/6 x 5/6 x 5/6 x 5/6 = 0.4823 (4sf)

Fewer than 7 rolls to get second 1 after first takes 3 rolls means second occurs on 4th, 5th or 6th roll
The probability of each of these is 1/6, 5/6 x 1/6 and 5/6 x 5/6 x 1/6 respectively.
P(second 1 on 4th, 5th or 6th roll) = 1/6 + 5/36 + 25/216 = 91/216 = 0.4213 (4sf)

3 0

1 year ago