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Slav-nsk [51]
3 years ago
14

Solve the system of equations: y=x^2, y=x+6

Mathematics
1 answer:
Ulleksa [173]3 years ago
4 0
The answer is C. (-2,4), (3,9)
You might be interested in
1. Find the vertex of the following: y = (x - 4)(x - 10) *
horsena [70]

Answer:

1. (7,-9)

2. (4,0) and (10,0)

3. (3,0) and (-3,0)

4. (0,-9)

5. (-1,-32)

Step-by-step explanation:

To find the vertex use the formula

\frac{-b}{2a}

First make the equation into a quadratic equation.

(x-4)(x-10)\\x^{2} -10x-4x+40\\x^{2} -14x+40

Now it is in the form

ax^{2} +bx+c=0

Now we can substitute the values

\frac{-(-14)}{2(1)} \\\frac{14}{2} \\7

Now we have 7 as our x value for the vertex we can substitute for y,

x^{2} -14x+40=y\\(7)^{2} -14(7)+40=y\\49-98+4=y\\y=-9

So the vertex for 1 is (7,-9)

To find the intercepts for 2 & 3, they basically already give it to you. You just need to find a value for x for x-4 that will equal it to 0 and another for x for x-10 that will equal it to 0.

x-4=0\\x=4\\\\x-10=0\\x=10

4 is slightly different but start the same,

(x-3)(x+3)\\x^{2}+3x-3x-9\\x^{2}-9

Here, c (9) just shows the graph move down 9, so the y intercept = 9.

5 is the same process as 1,

2(x-3)(x+5)\\2(x^{2}+5x-3x-15)\\2(x^{2}+2x-15)\\2x^{2}+4x-30

Vertex,

\frac{-(4)}{2(2)} \\\frac{-4}{4} \\-1

Substitute,

2x^{2}+4x-30\\2(-1)^{2}+4(-1)-30\\2-4-30\\-32

So the vertex is (-1,-32)

8 0
3 years ago
F(x) = (x - 2)²(x+1)​
Inessa [10]

(x - 2)²(x+1)​

(x-2)(x-2)

multiply the two brackets together

(x)(x)=x^2

(x)(-2)=-2x

(-2)(x)=-2x

(-2)(-2)=4

x^2-2x-2x+4

x^2-4x+4

(x^2-4x+4)(x+1)

multiply the brackets together

(x^2)(x)=x^3

(x^2)(1)=x^2

(-4x)(x)=-4x^2

(-4x)(1)=-4x

(4)(1)=4

x^3+x^2-4x^2-4x+4x+4

Answer:

x^3-3x^2+4

5 0
3 years ago
Hunter took out a $3500 loan with interest to pay for some business supplies. He will repay The loan and three years with monthl
almond37 [142]

Answer: $448.48

Step-by-step explanation:

The amount Hunter will pay in total is;

= 109.68 * 12 months * 3 years

= $‭3,948.48‬

Interest he will pay = Amount paid - Loan amount

= ‭3,948.48‬ - 3,500

= $448.48

7 0
3 years ago
Help plz 15 points!!!!!!!!!!!!!!!! really inportant
fiasKO [112]
Question 14) 3³


question 15) 100/9
5 0
3 years ago
Read 2 more answers
1,4,5,6,6,7,8 quartile
Softa [21]
What is your question?

3 0
3 years ago
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