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Nastasia [14]
3 years ago
6

The graph of which function will have a maximum and a y-intercept of 4?

Mathematics
1 answer:
stiv31 [10]3 years ago
4 0

Answer:

<h2>f(x) = -x² + 2x + 4</h2>

Step-by-step explanation:

We have quadratic functions f(x) = ax² + bx + c.

c - y-intercept

If a > 0, then a parabola opens up and has a minimum in a vertex.

If a < 0, then a parabola opens down and has a maximum in a vertex.

The function has maximum and y-intercept of 4:

a < 0 and c = 4

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Repeating decimal is the answer
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3 years ago
Write the quadratic equation whose roots are 3 and -6, and whose leading coefficient is 3.
Delvig [45]

Answer:

Step-by-step explanation:

if the roots are 3 and -6, we can start with:

(x-3)(x+6)=0

But the leading coefficient must be 3, we just add a 3 to one of the x's:

( 3 x-3)(x+6)=0

But now we have to make sure the roots work again:

( 3 x-9)(x+6)=0

So our equation is:

[/tex]f(x)=3x^2+9x-54[/tex]

4 0
4 years ago
Solve the inequality:<br> -40 &lt; 2(a + 12).
ioda

Answer:

a> -32

Step-by-step explanation:

-40 < 2(a +12)

-40 < 2(a) +2(12) <em>(</em><em>expand</em><em>)</em>

-40 < 2a +24

-40 -24 < 2a <em>(</em><em>bring</em><em> </em><em>constant</em><em> </em><em>to</em><em> </em><em>one</em><em> </em><em>side</em><em>)</em>

-64 < 2a <em>(</em><em>simplify</em><em>)</em>

2a > -64

a > -64 ÷2

a > -32

7 0
3 years ago
Please help !! Which of the following are solutions to the equation below? check all that apply
Gala2k [10]
I thike so i would -4 must help u a lot
7 0
3 years ago
Read 2 more answers
Solve the inequality and write in interval notation <br><br> 2−5|6x−4|&lt;−13
lorasvet [3.4K]

The solution to the inequality is (7/6, ∝) and (-∝, 7/6)

<h3>How to solve the inequality?</h3>

The inequality expression is given as:

2−5|6x−4|<−13

Subtract 2 from both sides

|6x−4|<−15

Divide through by -5

|6x−4| > 3

Remove the inequality sign

6x - 4 > 3 or 6x - 4 < 3

Add 4 to both sides

6x > 7 or 6x < 7

Divide by 6

x > 7/6 or x < 7/6

In interval notation, we have:

(7/6, ∝) and (-∝, 7/6)

Read more about inequality at:

brainly.com/question/18881247

#SPJ1

5 0
2 years ago
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