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2 years ago

Factor completely 4x^2-1

Mathematics

2 answers:

kari74 [83]2 years ago

7 0

Answer:

4×^2-1=(2× +1)(2× -1)

Step-by-step explanation:

using a^2 - b^2 =(a+b)(a-b)

alina1380 [7]2 years ago

6 0

Answer:

(2x - 1)(2x + 1)

Step-by-step explanation:

Difference of Squares: (ax + b)(ax - b) = (ax² - b²)

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Write the equation of the quadratic function shown in the graph.

Phoenix [80]

Answer:

Step-by-step explanation:

y = a(x-h)² + k, where (h,k) is the vertex.

vertex is clearly (0,0), so y = ax².

Plug in (3,3) and solve for a:

3 = a3²

a = ⅓

y = ⅓x²

5 0

2 years ago

I’m really confused on what the answer is supposed to be

kozerog [31]

Answer:

-4 < x < -2

Step-by-step explanation:

Taking the left part of the inequality :

8 > 4 - x
x > -4

Taking the right part of the inequality :

4 - x > 6
-x > 2
x < -2

Solution :

-4 < x < -2

6 0

1 year ago

Triangle P R Q is shown. Angle R P Q is 39 degrees. The length of P R is 6, the length of R Q is p, and the length of P Q is 8.

KATRIN_1 [288]

According to law of cosines the length of RQ can be written as $p^{2} =6^{2} +8^{2} -2*6*8cos(39)$ .

Given the length PR is 6 , the length of RQ is p, the length of PQ is 8 and the angle RPQ is 39 degrees.

A length of the triangle can be written as according to law of cosines if sides are given and one angle is $a^{2} =b^{2} +c^{2} -2bccos(A)$

We have to just put the values in the above equation.

as $p^{2} =6^{2} +8^{2} -2*6*8cos(39)$ .

p is the side opposite to angle given , the length of other sides are 6 and 8 and angle is 39 degrees.

Hence the side can be written as according to law of cosines if the angle is 39 degrees is as $p^{2} =6^{2} +8^{2} -2*6*8cos(39)$ .

Learn more about trigonometric functions at brainly.com/question/24349828

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7 0

1 year ago

After a 20% price reduction, a cordless phone sold for $48. What was the phones price before the reduction?

GalinKa [24]

After 20% reduction the price is $48 which means $48 is only 80% of the original price...so let x= original price
48=.8x 
60=x 
it was $60

6 0

2 years ago

What is the smallest solution to the equation 2/3 x^2=24

True [87]

Answer:

The smallest solution is -6

Step-by-step explanation:

2/3 x^2=24

Multiply by 3/2 on each side

3/2 *2/3 x^2=24 *3/2

x^2 = 36

Take the square root of each side

sqrt(x^2) = ±sqrt(36)

x = ±6

x = -6, 6

The smallest solution is -6

7 0

3 years ago