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disa [49]
3 years ago
11

An unknown number y is 20 more than an unknown number x. The number y is also x less than 2. The equations to find x and y are s

hown below:
y = x + 20
y = –x + 2

Which is a correct step to find x and y?


Multiply the equations to eliminate y.

Add the equations to eliminate x.

Write the points where the graphs of the equations intersect the x-axis.

Write the points where the graphs of the equations intersect the y-axis.
Mathematics
2 answers:
NARA [144]3 years ago
8 0

Answer: Add the equations to find the sum of x

Thank you and please click the heart button

Scorpion4ik [409]3 years ago
4 0
Add the equations to eliminate x.
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Find the equation of the graphed line.
belka [17]
<h3><u>Answer:</u></h3>

\boxed{\boxed{\pink{\bf \leadsto Hence \ option\ [d]\ \bigg(y =  \dfrac{5}{2}x + 5\bigg) \ is \ correct  }}}

<h3><u>Step-by-step explanation:</u></h3>

Here from the given graph we can see that the graph the graph intersects x axis at (2,0) and y axis at (5,0). On seeing options it's clear that we have to use Slope intercept form . Which is :-

\large\boxed{\orange{\bf y = mx + c} }

We know that slope is \tan\theta. So here slope will be ,

\red{\implies slope = \tan\theta} \\\\\implies slope =\dfrac{PERPENDICULAR}{BASE} \\\\\bf \implies slope =\dfrac{5}{2}

Hence the slope is 5/2 . And here value of c will be 5 since it cuts y axis at (5,0).

\purple{\implies y = mx + c }\\\\\implies y = \dfrac{5}{2}x + 5 \\\\\underline{\boxed{\red{\tt \implies y = \dfrac{5}{2}x + 5 }}}

<h3><u>Hence</u><u> </u><u>option</u><u> </u><u>[</u><u> </u><u>d</u><u> </u><u>]</u><u> </u><u>is</u><u> </u><u>corre</u><u>ct</u><u> </u><u>.</u><u> </u></h3>
4 0
3 years ago
According to a polling​ organization, 24% of adults in a large region consider themselves to be liberal. A survey asked 200 resp
Varvara68 [4.7K]

Answer:

z=\frac{0.375 -0.24}{\sqrt{\frac{0.24(1-0.24)}{200}}}=4.47  

Now we can calculate the p value based on the alternative hypothesis with this probability:

p_v =P(z>4.47)=0.00000391  

The p value is very low compared to the significance level of \alpha=0.05 then we can reject the null hypothesis and we can conclude that the true proportion of people liberal is higher than 0.24

Step-by-step explanation:

Information given

n=200 represent the random sample taken

X=75 represent the number of people Liberal

\hat p=\frac{75}{200}=0.375 estimated proportion of people liberal

p_o=0.24 is the value that we want to test

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to verify if the true proportion of adults liberal is higher than 0.24:

Null hypothesis:p \leq 0.24  

Alternative hypothesis:p > 0.24  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.375 -0.24}{\sqrt{\frac{0.24(1-0.24)}{200}}}=4.47  

Now we can calculate the p value based on the alternative hypothesis with this probability:

p_v =P(z>4.47)=0.00000391  

The p value is very low compared to the significance level of \alpha=0.05 then we can reject the null hypothesis and we can conclude that the true proportion of people liberal is higher than 0.24

6 0
3 years ago
Find the net change in the value of the function between the given inputs. h(t) = t2 + 2; from −5 to 8
pashok25 [27]

Answer:

39

Step-by-step explanation:

Given the function :

h(t) = t² + 2

From t = 5 to t = 8

when, t = 5

h(5) = 5² + 2

h(5) = 25 + 2

h(t) at t = 5 ; equals 27

when, t = 8

h(5) = 8² + 2

h(5) = 64 + 2

h(t) at t = 8 ; equals 66

Net Change :

h(8). - h(5)

66 - 27 = 39

3 0
3 years ago
This is a picture of a small sumu
Deffense [45]

Answer:

C

Step-by-step explanation:

The rubber exercise ball is a sphere

the volume of a sphere= 4/3*pi*r3

where r = the radius of the sphere.

from the diagram, the radius = 4.5inches

Therefore, volume of the rubber ball = 4/3*pi*4.5^3 = 381.51 cubic inches

5 0
3 years ago
Will give Brainliest!
Sergeu [11.5K]
The answer to this is c. y=2x-6
7 0
3 years ago
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