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vodomira [7]
4 years ago
6

A quadratic rule for a particular parabola is of the form y = ax^2 + bx. The parabola passes through with the coordinates (-1, 4

) and one of its x-axis intercepts is 6. Find the value of a and b.
Mathematics
1 answer:
Scilla [17]4 years ago
6 0

Answer:

y = (4/7)x² - (24/7)(x)

Step-by-step explanation:

4 = a(-1)² + b(-1)

4 = a - b

0 = a(6)² + b(6)

36a + 6b = 0

b = -6a

4 = a - (-6a)

7a = 4

a = 4/7

b = -24/7

y = (4/7)x² - (24/7)(x)

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3 years ago
Solve for m ?( geometry?)
kupik [55]
Answer: m = 16

Remember: the base angles of a trapezoid are congruent.

Form your equation.
4m + 1 = 2m + 33

Solve for m.
4m + 1 = 2m + 33             Subtract 1 from both sides
4m = 2m + 32                  Subtract 2m from both sides
2m = 32                           Divide by 2 to both sides
m = 16                              Answer!

You can also check your work.
4(16) + 1 = 2(16) + 33
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4 0
3 years ago
Which value must be added to the expression x2 + 12x to make it a perfect-square trinomial?
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3 0
3 years ago
J/4 - 1 = 1.7 solve for j ​
Andrew [12]

Answer:

j=10.8

Step-by-step explanation:

First, you want to get rid of that 1, so to do that, you add 1 to each side, so you have j/4=2.7. Next, to get rid of the division, you need to multiply by 4 instead, so if you multiply each side by 4 to cancel out the division, you're left with j=10.8

3 0
2 years ago
casey is six time as old as Ralph, In two years, she will be four time as old as Ralph. How old is each of them now?
Keith_Richards [23]

Casey is 18 years old and Ralph is 3 years old.

Step-by-step explanation:

Let,

Age of Casey = x

Age of Ralph = y

According to given statement;

x = 6y     Eqn 1

In two years

x+2=4(y+2)

x+2=4y+8

x = 4y+8-2

x = 4y+6     Eqn 2

Putting value of x from Eqn 1 in Eqn 2

6y=4y+6 \\6y-4y=6\\2y=6

Dividing both sides by 2

\frac{2y}{2}=\frac{6}{2}\\y=3

Putting y=3 in Eqn 1

x=6(3)\\x=18

Casey is 18 years old and Ralph is 3 years old.

Keywords: word problems, substitution method

Learn more about substitution method at:

  • brainly.com/question/12973601
  • brainly.com/question/13063819

#LearnwithBrainly

7 0
3 years ago
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