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4 years ago

The graph shows the system y=2x+1 y=2x^2+1 Which ordered pairs are solutions of the system?

Mathematics

1 answer:

zhenek [66]4 years ago

3 0

Hey!

To solve this problem, we would really have to graph both equations.

OPEN THE FIRST IMAGE

The first image I provided was the image of this equation graphed: y=2x+1

OPEN THE SECOND IMAGE

The second image I provided was the image of this equation graphed: y=2x^2+1

PLEASE DO NOT LOOK AT THE THIRD IMAGE YET!

The first image has two points. One at ( -0.5, 0 ) and the other at ( 0, 1 ).

The second image has only one point, which is at ( 0, 1 ).

OPEN THE THIRD IMAGE

Now, when both are combined we see that they intersect at two points, which are ( 0, 1 ) and ( 1, 3 ).

So, our answer is...

The ordered pairs that are the solution to the system are ( 0,1 ) and ( 1,3 ).

Hope this helped!

- Lindsey Frazier ♥

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4.solve for x and y pls help

DaniilM [7]

Answer:

x = 4 $\sqrt{3}$

y = 8 $\sqrt{3}$

Step-by-step explanation:

this is a 30-60-90 triangle and the sides have a constant ratio

the side across from the 30°∡ is 1

the side across from the 60°∡ is √3

the side across from the 90°∡ is 2

In this problem we can find 'x' by setting up this proportion:

x/12 = $\sqrt{3}$ /1

cross-multiply:

$\sqrt{3}$ x = 12

x = 12/ $\sqrt{3}$

since we don't like to leave radicals in the denominator, we can multiply both numerator and denominator by $\sqrt{3}$ to get:

12 $\sqrt{3}$ ÷ $\sqrt{3}$ · $\sqrt{3}$ ( $\sqrt{3}$ · $\sqrt{3}$ = $\sqrt{9}$ , which equals 3)

so we have 12 $\sqrt{3}$ /3, which is 4 $\sqrt{3}$

The 'y' value will be twice the 30° side, so 8 $\sqrt{3}$

4 0

3 years ago

What is the slope of the function, represented by the table of values below?

arlik [135]

A slope is also known as the gradient of a line. The slope of the function is -4, Thus, the correct option is D.

<h3>What is Slope?</h3>

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

The slope of the function is,

m = (13-5)/(-2-0) = 8/-2 = -4

Hence, the slope of the function is -4, Thus, the correct option is D.

Learn more about Slope of Line:

brainly.com/question/14511992

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3 0

2 years ago

20 pts need this question asap

AlekseyPX

It's D because 140÷3.50 is 40

7 0

3 years ago

The population of a city in 2005 was 18,000. By 2010, the city’s population had grown to 45,000. Economists have determined that

tensa zangetsu [6.8K]

2005= 18,000
2010= 45,000

1) make 2005 year "0", and 2010 year "5"
2)in order to solve this problem and figure out the rate of change, we must use the equation for exponential functions y=ab^x
3) a= the y- value of y intercept ( what does y equal when x is zero) in this case a population number so, a= 18,000; b= the unknown rate of change; x= time and since we're finding b we can plug in 5 for the time in years; y= the value of y in terms of the x-value, so when x is 5, y is 45,000
4) you end up with something like this
45,000= 18,000b^5
5) in order to proceed to solve you must get b alone
6) divide both sides by 18,000
7) so you no have 2.5= b^5
8) take the fifth root of both sides
9) now you have your answer b=1.20112443398

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3 years ago

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The hour hand of a clock moves -15 degrees every hour how many degrees does it move in 1 1/4 hours

iren [92.7K]

Answer:

-18 3/4

Step-by-step explanation:

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4 years ago