All categories

3 years ago

Find the x-intercepts for the parabola defined

Mathematics

1 answer:

Ulleksa [173]3 years ago

5 0

Answer:

(- 2, 0 ), (1, 0 )

Step-by-step explanation:

Given

y = 2x² + 2x - 4

To find the x- intercepts let y = 0, that is

2x² + 2x - 4 = 0 ← divide through by 2

x² + x - 2 = 0 ← in standard form

(x + 2)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 1 = 0 ⇒ x = 1

Thus x- intercepts are (- 2, 0) and (1, 0)

You might be interested in

Which of the following equations is of a parabola with a vertex at (0, 6)?

RoseWind [281]

Answer:

y= x^2 + 6

Step-by-step explanation:

y= x2 + 6 (which should be written as y= x^2 + 6) has the form y - k = a(x - h)^2. For y= x^2 + 6, h = 0 and k = 6. Thus the vertex is (0, 6)

4 0

4 years ago

Annie's parents have offered her two different allowance options for her 10 week summer vacationAnnie's mom offers Annie an allo

vfiekz [6]

<h3>Annie's mom's offer is better because Annie will have more money at the end of weeks.</h3>

HOPE IT HELPS

PLEASE MARK ME BRAINLIEST ☺️

5 0

3 years ago

Read 2 more answers

Use the drop-down menus to label the points on the number line.

SSSSS [86.1K]

Answer:

-1.5

-0.75

0.75

1.75

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A triangle has two constant sides of length 5 feet and 7 feet. The angle between these two sides is increasing at a rate of 0.9

o-na [289]

Answer: $12.74 ft^2/s$

Step-by-step explanation:

Given

Two sides of triangle of sides 5 ft and 7 ft

and angle between them is increasing at a rate of 0.9 radians per second

let $\theta$ is the angle between them thus

Area of triangle when two sides and angle between them is given

$A=\frac{ab\sin C}{2}$

$A=\frac{5\times 7\times \sin \theta }{2}$

Differentiate w.r.t time

$\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\cos theta }{2}\times \frac{\mathrm{d} \theta }{\mathrm{d} t}$

at $\theta =\frac{\pi }{5}$

$\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\times cos(\frac{\pi }{5})}{2}\times 0.9$

$\frac{\mathrm{d} A}{\mathrm{d} t}=12.74 ft^2/s$

4 0

4 years ago

Given the replacement set {0,1,2,3,4} solve 4x - 5 = 11

kicyunya [14]

4x - 5 = 11
4x = 11 + 5 = 16
4x = 16
Divide by 4 from both sides
X = 4

7 0

3 years ago