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Ilya [14]
3 years ago
9

Find a such that f(x)=ax²-4x+3 has a maximum value of 12

Mathematics
1 answer:
qwelly [4]3 years ago
3 0

Answer:

a = -4/9

Step-by-step explanation:

For a function y = ax² + bx + c, the maximum value is at x = -b/(2a).

f(x) = ax² − 4x + 3

Here, the maximum value is at x = -(-4)/(2a) = 2/a.  Setting f(x) = 12 at this point:

12 = a (2/a)² − 4 (2/a) + 3

12 = 4/a − 8/a + 3

9 = -4/a

a = -4/9

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Can you help me with this plzzzzzzz
sergejj [24]

Answer:

E: x = 13

F: x = 1.5 or 3/2

Step-by-step explanation:

This is for E:

x + 2/3 = 5

All you do is first multiply 5 * 3

and you will get 15

x + 2 = 15

Then you subtract from 15

15 - 2 = 13

So x = 13

This is for F:

10(x - 1) = 5

So all you do is distribute the 100 with x -1

10 * x = 100x

10 * -1 = 100

10x - 10 = 5

Then you add 10 to 15 because the number is -10

5 + 10 = 15

10x = 15

Now you divide by 10 on both sides

10x/10 = 15/10

10x/10 = x

15/10 = 3/2

So the answer for F is 3/2 or 1.5

6 0
3 years ago
What can Jenna conclude about her math and science
maw [93]

The answer is: She had more math assignments to start with, but completed more science assignments weekly.

6 0
3 years ago
Read 2 more answers
What does the C equal to in -1/6 +7/6 = c
STALIN [3.7K]

Answer:

c = 1

Step-by-step explanation:

we have -1/6 + 7/6

since 6 is a common denominator we can do

\frac{-1}{6} +\frac{7}{6} = c\\\frac{-1+7}{6} = c\\\frac{6}{6} = c\\1 = c\\c = 1

6 0
3 years ago
Factor the expression y4 − 81 using the polynomial identity (x2 − y2) = (x − y)(x + y).
katrin [286]
The factored form is (y^2+9)(y^2-9).

Plug the two terms into the equation by finding the root of both.
√y^4= y^2
√81= 9

From here, you plug the terms into the form (x+y)(x-y)
(y^2+9)(y^2-9)

Hope this helps!
6 0
3 years ago
Find the product of X^2 (4x - 3).
Verizon [17]

x² ( 4x - 3)

Apply the multiplicative law of distribution.

  • x² × 4x - x² × 3

Multiply the monomial

  • 4x³ - x² × 3

Multiply the monomial

  • 4x³ - 3x² ==> Answer

Therefore, the correct option is "C".

8 0
2 years ago
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