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exis [7]
3 years ago
12

Graph 4x + y = 6x − 1. Show your work and explain the method used to determine the graph.

Mathematics
1 answer:
Alexus [3.1K]3 years ago
8 0

Answer:
Graph the line using the slope and y-intercept, or two points.

Slope: 2
y-intercept: (0, -1)

<u>x | y
</u>0| -1
1 | 1

Step-by-step explanation:

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Use the figure below to determine the relationship between the lengths of MR and MS.
I am Lyosha [343]
< MSR = 180 - 110 = 70 degrees
So MR is opposite 70 degrees and MS is opposite 60 degrees
therefore MR is longer than MS
4 0
3 years ago
In this lesson, the graph of a line is used to find which of the following?
Artemon [7]
All of the above. The graph of a line shows a point on the line, (x,y). It shows the slope (rise/run) it also shows the equation in point-slope form/slope intercept form.
(Slope intercept and point-slope are the same equation, but in a different form.)
6 0
3 years ago
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A study claims that college students spend an average of 4 hours or less studying per day. A researcher wants to check if this c
kirill115 [55]
<h2>Answer with explanation:</h2>

Let \mu be the population mean.

By observing the given information, we have :-

H_0:\mu\leq4\\\\H_a:\mu>4

Since the alternative hypotheses is left tailed so the test is a right-tailed test.

We assume that the time spend by students per day is normally distributed.

Given : Sample size :  n=121 , since n>30 so we use z-test.

Sample mean : \overline{x}=3.15

Standard deviation : \sigma=1.2

Test statistic for population mean :-

z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

\Rightarrow\ z=\dfrac{3.15-4}{\dfrac{1.2}{\sqrt{121}}}\\\\\Rightarrow\ z=-7.79166666667\approx-7.79

Critical value (one-tailed) corresponds to the given significance level :-

z_{\alpha}=z_{0.1}=1.2816

Since the observed value of z (-7.79) is less than the critical value (1.2816) , so we do not reject the null hypothesis.

Hence, we conclude that we have enough evidence to accept that the college students spend an average of 4 hours or less studying per day.

4 0
3 years ago
The projectile motion of an object can be modeled using s(t)=gt^2+v0t+s0, where g is the acceleration due to gravity, t is the t
RSB [31]

Answer:

S(t) = -4.9t^2 + Vot + 282.24

Step-by-step explanation:

Since the rocket is launched from the ground, So = 0 and S(t) = 0

Using s(t)=gt^2+v0t+s0 to get time t

Where g acceleration due to gravity = -4.9m/s^2. and

initial velocity = 39.2 m/a

0 = -4.9t2 + 39.2t

4.9t = 39.2

t = 8s

Substitute t in the model equation

S(t) = -49(8^2) + 3.92(8) + So

Let S(t) =0

0 = - 313.6 + 31.36 + So

So = 282.24m

The equation that can be used to model the height of the rocket after t seconds will be:

S(t) = -4.9t^2 + Vot + 282.24

7 0
3 years ago
Read 2 more answers
And I oop- T^T<br><br> Send help
Rufina [12.5K]

I sent help but no one answered :(

Jk, I got you fam

12(t + 2) + 4 ≥ - 8

12t + 24 + 4 ≥ - 8

12t + 28       ≥ - 8

12t               ≥ - 8 - 28

12t               ≥ - 36

t                  ≥ - 36 ÷ 12

t                  ≥ - 3

Solution:

t ≥ -3

4 0
3 years ago
Read 2 more answers
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