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Aleks04 [339]
3 years ago
13

What are the x-intercepts of the quadratic function? f(x)=x^2+6x−27

Mathematics
2 answers:
masha68 [24]3 years ago
6 0
The x intercepts for this quadratic function is X = 3, and -9
Rasek [7]3 years ago
4 0
The x-intercepts are -9 and +3. What two number multiply to -27 but at to +6? +9 and -3. When you put x-9=0 and x+3=0, they both change their signs so what was +9 is not -9 and what was +3 was -3. I hope this helps you!
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The rectangle below has a area x^2-x-72 square meters and a length of x+8 meters what expression represents the width of the rec
mixer [17]
ANSWER

w = (x - 8)

EXPLANATION

The given rectangle has area,

A = {x}^{2} - x - 72 \: {m}^{2}

It was given to us that, the length of the rectangle is l=(x+8)

To find the width, we need to factor, the expression for the area.

We split the middle term to get,

A = {x}^{2} - 9x + 8x- 72

We now factor by grouping;

A = x(x - 9) + 8(x- 9)

A = (x + 8)(x - 9)

We know that area of a rectangle is

A = l \times w

Hence the width of the rectangle is,

w = (x - 8)
8 0
3 years ago
Read 2 more answers
A $10 book is 50% off. What is the cost?
RoseWind [281]

Answer:

$5.00

Step-by-step explanation:

10 × 50/100

Discount = 10 x 0.5

You save = $5.00

7 0
2 years ago
Read 2 more answers
At what point on the graph of y=1/4x^4 is the tangent line parallel to the line 24x -3y=8
Rama09 [41]

Answer:

a) dy/dx = 4/(2y+1)^2.

(b) y = 4/9 x - 14/9

(c) d2y/dx2 = -64/243

Step-by-step explanation:

You have the following equation

  (1)

(a) You first derivative implicitly the equation (1) respect to x:

next, you solve the last result for dy/dx:

(2)

(b) The equation for the tangent line is given by:

   (3)

with yo = -2 and xo = -1

To find the slope m you use the result of the equation (2), because dy/dx evaluated in (-1,-2) is the slope at such point:

m =

Hence, by replacing in the equation (3) you obtain:

hence, the equation for the tangent line is y = 4/9 x - 14/9

(c) To find d2y/dx2 you derivative the result obtain in the equation (2):

    (4)

the second derivative for the point (-1,-2) is obtained by replacing y=-2 and dy/dx=m=4/9 in the equation (4):

hence, d2y/dx2 evaluated in (-1,-2) is -64/243

Step-by-step explanation:

3 0
3 years ago
What's 5 divided by 47
Katen [24]
5 ÷ 47 equals .106 :)
4 0
3 years ago
Rewrite the expression −7/8 − 2 1/4 ​as the sum of two numbers.
pychu [463]

Answer:

-3 1/8.

Step-by-step explanation:

−7/8 − 2 1/4

= -7/8 + -9/4

= -7/8 - 18/8

= -25/8

= -3 1/8.

4 0
3 years ago
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