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3 years ago

What is 8 - 3x > -25 because i have been wondering all day

Mathematics

1 answer:

Svetllana [295]3 years ago

8 0

Answer:

$8 - 3x > -25 : \left[\begin{array}{ccc}solution: x < 11\\Interval Notation:(-\infty,11)\end{array}\right]$

Step-by-step explanation:

$8-3x>-25$

Subtract $8$ from both sides:

$8-3x-8>-25-8$

Simplify:

$-3x>-33$

Multiply both sides by $-1$ (reverse the inequality):

$\left(-3x\right)\left(-1\right)$

Simplify:

$3x$

Divide both sides by $3$ :

$\frac{3x}{3}$

Simplify:

$x < 11$

Hope I helped. If so, may I get brainliest and a thanks?

Thank you, have a good day! =)

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Answer:

Yes, he will have enough time to watch the entire film.

Step-by-step explanation:

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7:30 plus 30 minutes brings him to 8:00.

8:00 plus the additional 5 minutes brings Greg to 8:05.

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3 years ago

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Step-by-step explanation:

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3 years ago

Y=x^2-6x-16 in vertex form

satela [25.4K]

Answer:

$y=(x-3)^{2} -25$

Step-by-step explanation:

The standard form of a quadratic equation is $y=ax^{2} +bx+c$

The vertex form of a quadratic equation is $y=a(x-h)^{2} +k$

The vertex of a quadratic is (h,k) which is the maximum or minimum of a quadratic equation. To find the vertex of a quadratic, you can either graph the function and find the vertex, or you can find it algebraically.

To find the h-value of the vertex, you use the following equation:

$h=\frac{-b}{2a}$

In this case, our quadratic equation is $y=x^{2} -6x-16$ . Our a-value is 1, our b-value is -6, and our c-value is -16. We will only be using the a and b values. To find the h-value, we will plug in these values into the equation shown below.

$h=\frac{-b}{2a}$ ⇒ $h=\frac{-(-6)}{2(1)}=\frac{6}{2} =3$

Now, that we found our h-value, we need to find our k-value. To find the k-value, you plug in the h-value we found into the given quadratic equation which in this case is $y=x^{2} -6x-16$

$y=x^{2} -6x-16$ ⇒ $y=(3)^{2} -6(3)-16$ ⇒ $y=9-18-16$ ⇒ $y=-25$

This y-value that we just found is our k-value.

Next, we are going to set up our equation in vertex form. As a reminder, vertex form is: $y=a(x-h)^{2} +k$

a: 1

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