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Cerrena [4.2K]
2 years ago
10

A) Complete the table of values for y = x2 + x - 4

Mathematics
1 answer:
Yuri [45]2 years ago
6 0

Answer:

The values of y for each value of x are:

x = -3, y =2

x = -2\: , y =-2

x = -1\: , y =-4.

x = 0\: , y =-4

x = 1\: , y = -2.

x = 2\: , y =2

x = 3\: , y = 8

Step-by-step explanation:

We have all the values of x, they are from -3 to 3 passing for 0.

Now, we know that y is a quadratic function (y=x²+x+4)

Therefore, we just need to put each value of x into the quadratic equation to find each y value.

When:

x = -3, y = (-3)^2+(-3)-4=2

x = -3\: , y = 2

We can do this for all values of x, so we will have:

x = -2\: , y = (-2)^2+(-2)-4=-2

x = -1\: , y = (-1)^2+(-1)-4=-4.

x = 0\: , y = (0)^2+(0)-4=-4

x = 1\: , y = (1)^2+(1)-4=-2.

x = 2\: , y = (2)^2+(2)-4=2

x = 3\: , y = (3)^2+(3)-4=8

I hope it helps you!

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Mr. McKay wrote an algebra test with a total of 15 questions consisting of multiple choice and short response style questions. M
tankabanditka [31]

Step-by-step explanation:

x = number of multiple choice questions

y = number of short response questions

x + y = 15

5x + 10y = 100

=>

x + 2y = 20

let's subtract the first from the second equation :

x + 2y = 20

- x + y = 15

--------------------

0 y = 5

x + y = 15

x + 5 = 15

x = 10

to graph you need to consider both equations as linear functions. and you need to transform them into e.g. a slope intercept form : y = ax + b

a is the slope, b is the y- intercept.

x + y = 15

transforms to

y = -x + 15

this line goes e.g. through the points (0, 15) and (1, 14).

and

x + 2y = 20

transforms to

2y = -x + 20

y = -x/2 + 10

this line goes e.g through (0, 10) and (2, 9).

the crossing point of both lines is the solution and should therefore be the point (10, 5) as calculated above.

5 0
2 years ago
What is the unit rate of five and 15?
-BARSIC- [3]
For miles... 0.333333 Miles per Mile
6 0
3 years ago
The ratio of Dawn to Mandy's savings is 6 : 7. The ratio of Mandy to Belle's savings is 2 : 3. Find the ratio of Dawn to Belle's
Mila [183]

The savings are illustrations of ratio, and the ratio of Dawn to Belle's savings in the simplest ratio is 4 : 7

<h3>How to determine the ratio?</h3>

The given ratios are:

Dawn : Mandy = 6 : 7

Mandy : Belle = 2 : 3

Multiply the second ratio by 3.5.

So, we have:

Mandy : Belle = 2 * 3.5 : 3 * 3.5

Evaluate

Mandy : Belle = 7 : 10.5

So, we have:

Dawn : Mandy = 6 : 7

Mandy : Belle = 7 : 10.5

Mandy's ratios in both equation are the same.

So, we have:

Dawn : Mandy : Belle = 6 : 7 : 10.5

Remove Mandy's ratio

Dawn : Belle = 6 : 10.5

Simplify

Dawn : Belle = 4 : 7

Hence, the ratio of Dawn to Belle's savings is 4 : 7

Read more about ratios at:

brainly.com/question/2328454

#SPJ1

5 0
2 years ago
2 Here are two equations:
MatroZZZ [7]

a. (3,4) is only the solution to Equation 1.

(4, 2.5) is the solution to both equations

(5,5) is the solution to Equation 2

(3,2) is not the solution to any equation.

b. No, it is not possible to have more than one (x,y) pair that is solution to both equations

Step-by-step explanation:

a. Decide whether each neither of the equations,

i (3,4)

ii. (4,2.5)

ill. (5,5)

iv. (3,2)

To decide whether each point is solution to equations or not we will put the point in the equations

Equations are:

Equation 1: 6x + 4y = 34

Equation 2: 5x – 2y = 15

<u>i (3,4) </u>

Putting in Equation 1:

6(3) + 4(4) = 34\\18+16=34\\34=34\\

Putting in Equation 2:

5(3) - 2(4) = 15\\15-8 = 15\\7\neq 15

<u>ii. (4,2.5)</u>

Putting in Equation 1:

6(4) + 4(2.5) = 34\\24+10=34\\34=34\\

Putting in Equation 2:

5(4) - 2(2.5) = 15\\20-5 = 15\\15=15

<u>ill. (5,5)</u>

6(5) + 4(5) = 34\\30+20=34\\50\neq 34

Putting in Equation 2:

5(5) - 2(5) = 15\\25-10 = 15\\15=15

<u>iv. (3,2)</u>

6(3) + 4(2) = 34\\18+8=34\\26\neq 34

Putting in Equation 2:

5(3) - 2(2) = 15\\15-4 = 15\\11\neq 15

Hence,

(3,4) is only the solution to Equation 1.

(4, 2.5) is the solution to both equations

(5,5) is the solution to Equation 2

(3,2) is not the solution to any equation.

b. Is it possible to have more than one (x, y) pair that is a solution to both

equations?

The simultaneous linear equations' solution is the point on which the lines intersect. Two lines can intersect only on one point. So a linear system cannot have more than one point as a solution

So,

a. (3,4) is only the solution to Equation 1.

(4, 2.5) is the solution to both equations

(5,5) is the solution to Equation 2

(3,2) is not the solution to any equation.

b. No, it is not possible to have more than one (x,y) pair that is solution to both equations

Keywords: Linear equations, Ordered pairs

Learn more about linear equations at:

  • brainly.com/question/10534381
  • brainly.com/question/10538663

#LearnwithBrainly

8 0
3 years ago
One of the events at the circus starred Gabriella the Human Cannonball. On Saturday she performed in four shows. Shot from a can
34kurt
Answer: 59.49 meters
In this case, Gabriella flew 4 times with different distance. To answer this question you just need to add all the distance, The calculation would be:

Total distance = distance 1 + distance 2 + distance 3 + distance 4
Total distance = 8.05 meters+ 17.71 meters + 14.38 meters + 19.35 meters= 59.49 meters.
3 0
3 years ago
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