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3 years ago

I have never had an easier question from edge

Mathematics

1 answer:

olchik [2.2K]3 years ago

5 0

Answer:

le epic

Step-by-step explanation:

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Write the quadratic function f(x) = x2 + 8x + 3 in vertex form.

Karolina [17]

$f(x) =x^{2} +8x+3 \\ f(x) =a(x-p)^{2} +q =(x+4)^{2}-13 \\ a=1 \\ p= \frac{-b}{a} =- \frac{8}{2} =-4 \\ q=f(p) =f(-4)=(-4)^{2} +8 \cdot (-4)+3=16-32+3=-13$

7 0

4 years ago

Read 2 more answers

Is y= 2x^2 - 4 an even function

Jobisdone [24]

Yes, it has an even exponent/only even exponents

6 0

4 years ago

Write an equation in point slope form of the line that passes through the given point and has the given slope (7,-6);m=1/2

AveGali [126]

The equation of line is:

$y = \frac{1}{2}x-\frac{19}{2}$

Further explanation:

The general form of point-slope equation is:

$y = mx+b$

It is given that m = 1/2

Putting in the value of m

$y = \frac{1}{2}x+b$

We have to find the value of b so putting the value of x and y

(x,y) = (7,-6)

$-6 = \frac{1}{2}(7)+b\\-6 = \frac{7}{2} +b\\b = -6-\frac{7}{2}\\b = \frac{-12-7}{2}\\b = \frac{-19}{2}$

Putting the values of b and m in general form

$y = \frac{1}{2}x-\frac{19}{2}$

Keywords: Equation of line, point-slope form

Learn more about point-slope form of equation of line at:

#LearnwithBrainly

6 0

3 years ago

The perimeter of the window of the camper shell is 130 in. Find the length of one of the shorter sides of the window.

erik [133]

You can't deduce the length of a side from the perimeters of a rectangle.

Say that $s$ and $S$ are, respectively, the short and long side of the rectangle.

So, we know that

$2s+2S=130 \iff 2(s+S)=130 \iff s+S=65$

But we can't solve exactly for $s$ nor for $S$ , unless more information is given.

7 0

3 years ago

In one day, a book store earned $199 in sales for 4 copies of a new cookbook and 5 copies of a new science fiction novel. On the

Marina86 [1]

Answer:

The cookbook costs $36 per copy while the science fiction costs $11 per copy

Step-by-step explanation:

Here in this question, we are interested in calculating the price of the cookbook and the price of the science fiction novel.

Since we do not know the price of each, we start by assigning variables to stand in for these unknown prices.

Let the price of the cookbook be $x , while the price of the science fiction be $y

Now, on the first day, 4 copies of the cookbook and 5 copies of the fiction;

mathematically that would be 4 * x and 5 * y

We add both and sum to be $199

Thus we have;

4x + 5y = 199 ••••••••••(i)

On the second day;

3 copies of cookbook 3 * x = 3x with 4 copies of science fiction 4 * y

Adding both yielded 152;

Thus, we have ;

3x + 4y = 152••••••••••(ii)

So we need to solve both equations simultaneously to get the values of x and y

4x + 5y = 199

3x + 4y = 152

Multiply equation i by 3 and equation ii by 4

3 * 4x + 5y = 199

4 * 3x + 4y = 152

12x + 15y = 597

12x + 16y = 608

Now, subtract multiplied equation ii from multiplied equation i

(12x-12x) + (15y-16y) = (597-608)

-y = -11

y = 11

To get x, simply substitute in any of the equations;

let’s use equation 1

4x + 5y = 199

4x + 5(11) = 199

4x + 55 = 199

4x = 199-55

4x = 144

x = 144/4

x = 36

8 0

3 years ago