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1 year ago

A(x) = 3x² − 6, find a(-2).

Mathematics

1 answer:

Mademuasel [1]1 year ago

8 0

Answer:

a = 3x - 6/x

................

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Which is the best first step when solving the following system of equations? x + y = 3. 4 x minus y = 7. Multiply the first equa

Kryger [21]

Answer:

Multiply the first equation by 4.

Step-by-step explanation:

4(x+y=3) which gives

4x+4y=12

and

4x-y=7

Then subtract the two equations and the x variable will be eliminated.

6 0

2 years ago

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The area of a rectangle is 35 ft2 , and the length of the rectangle is 8 ft less than three times the width. find the dimensions

atroni [7]

The width is five feet and the length is seven feet.

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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

h: 3

k: -25

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

Hope this helps!

3 0

3 years ago

The square root of 175 (Please show how you found it, thanks!)

Kisachek [45]

Type it into ur calculator as √175 and if you need radical form it’ll be 5√7 or just 13.2 (13.2287565553)

7 0

2 years ago

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Susan currently has an account balance of $1,336.60. Her initial deposit on the account was $820 and it earned 4.5% simple inter

emmasim [6.3K]

The correct option will be : 14 years

Explanation

Current account balance of Susan is $1,336.60 and her initial deposit was $820

So, the amount of interest earned $= 1336.60-820= 516.60$ dollar

Formula for Simple Interest is: $I= P*r*t$ , where $I$ is the amount of interest, $P$ is the initial amount, $r$ is the rate of interest in decimal and $t$ is the time duration in years.

Here, $I= 516.60, P= 820, r=4.5$ % $= 0.045$

Now according to the above formula, we will get...

$I= P*r*t\\\\ 516.60=820*0.045*t\\\\ 516.60=36.90*t\\\\ t=\frac{516.60}{36.90}= 14$

So, Susan has held the account for 14 years.

3 0

3 years ago