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3 years ago

What is the equation of a line with a slope of -3 and a y-intercept of 4

Mathematics

2 answers:

LuckyWell [14K]3 years ago

8 0

Answer:

y = -3x + 4

Step-by-step explanation:

So the -3 is the slope and the slope always has an x and the y intercept is b which is 4

ratelena [41]3 years ago

5 0

Answer:

y = -3x + 4

Step-by-step explanation:

slope-intercept form: y = mx + b

Note that: m = slope

y- intercept = b

m = slope = -3

y-intercept = b = 4

Plug in the corresponding number to the corresponding variables:

y = mx + b

y = -3x + 4 is your answer.

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Is 1/3, 2/3, 4/3, 8/3, 16/3 arithmetic sequence

11111nata11111 [884]

The given sequence is not arithmetic sequence

Solution:

Given sequence is:

$\frac{1}{3} , \frac{2}{3} , \frac{4}{3} , \frac{8}{3} , \frac{16}{3}$

We have to find if the above sequence is arithmetic sequence or not

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

Here in the given sequence

$\text{ first term } = a_1 = \frac{1}{3}\\\\\text{ second term } = a_2 = \frac{2}{3}\\\\\text{ third term } = a_3 = \frac{4}{3}\\\\\text{ fourth term } = a_4 = \frac{8}{3}\\\\\text{ fifth term } = a_5 = \frac{16}{3}$

Let us find the difference between terms

$a_2 - a_1 = \frac{2}{3} - \frac{1}{3} = \frac{1}{3}$

$a_3 - a_2 = \frac{4}{3} - \frac{2}{3} = \frac{2}{3}$

$a_4 - a_3 = \frac{8}{3} - \frac{4}{3} = \frac{4}{3}$

$a_5 - a_4 = \frac{16}{3} - \frac{8}{3} = \frac{8}{3}$

Thus the difference between terms is not constant

So the given sequence is not arithmetic sequence

5 0

3 years ago

Just awser number 4 for me please

Cerrena [4.2K]

Which digit of 7,782 is the hundreds digit?

7 0

3 years ago

Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 138 to 190 cm and

mart [117]

Answer:

Best predicted value of y' = 86.16 kg

Step-by-step explanation:

Given,

n = 100

Range of heights = 138 - 190cm

Range of weight = 39 to 150 kg

x' =167.46 cm

y' = 81.44 kg

r = 0.108

p value = 0.285

y = - 105 + 1.08x

Significance level = 0.05

We reject H0 since pvalue, 0.285 is less than significance level of 0.05.

Therefore,

Given height of adult male, x = 177 cm

y = - 105 + 1.08x

The best predicted value of y' =

y' = - 105 + 1.08(177)

y' = 86.16 kg

The best predicted value of y' is 86.16kg

6 0

3 years ago

PHYSICS As a ray of light meets a mirror, the light

Lady bird [3.3K]

<h3>Answer: 37 degrees</h3>

========================================================

Explanation:

The angle of incidence is equal to the angle of reflection. The angle of light coming in is the same as the angle of light bouncing out. Each angle is made with the dashed line as the diagram shows.

So angle RMI = 106 is bisected, i.e. divided in half, to get

Angle RMN = 53
Angle NMI = 53

since 106/2 = 53

Then notice that the horizontal dashed line is perpendicular to the vertical mirror. This means angle NMJ is a 90 degree angle and,

angle RMJ = (angle NMJ) - (angle RMN)

angle RMJ = 90 - 53

angle RMJ = 37 degrees

----------

In short: divide 106 in half to get 53, then subtract it from 90

5 0

2 years ago

Janice is dividing 1.92 divided by 6. Why does she exchange the place value blocks shown for 18 tenths and 12 ones ?

olga2289 [7]

9 Godinez me. 333 12

7 0

3 years ago

Read 2 more answers