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3 years ago

Factor completely 49q^4 - 4

Mathematics

2 answers:

nadezda [96]3 years ago

7 0

Step-by-step explanation:

49q^4-4

(7q^2)^2-(2)^2

(7q^2+2)(7q^2-2)

Brrunno [24]3 years ago

5 0

Rewrite it in the form a^2 - b^2, where a = 7q^2 and b = 2

(7q^2)^2 - 2^2

Use the Difference of Squares; a^2 - b^2 = (a + b)(a - b)

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Find the equation of the quadratic function with vertex (-2,18) passing through (-5,0)?

Sliva [168]

Answer:

$y-18=-2(x+2)^2$

Step-by-step explanation:

Equation of the Quadratic Function

The vertex form of the quadratic function has the following equation:

$y-k=a(x-h)^2$

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

It's been given the vertex of the parabola as (-2,18):

$y-18=a(x+2)^2$

Now substitute the point (-5,0) and find the value of a:

$0-18=a(-5+2)^2$

Operating:

$-18=a(-3)^2$

$-18=9a$

Solving for a:

$a = -18 / 9$

a = -2

Thus, the equation of the quadratic function is:

$\mathbf{y-18=-2(x+2)^2}$

7 0

3 years ago

Please help I need u I have a picture to explain

mariarad [96]

Answer:

a10 = 12/7

Step-by-step explanation:

an = a1 + (n-1) d

a10 = 3/7 + ( 10-1) 1/7

a10 = 3/7 + (9) 1/7

a10 = 3/7 + 9/7

a10 = 12/7

3 0

3 years ago

X + Y is equal to 5 x minus Y is equal to 4 find the value of find the value of x square minus y square

Grace [21]

Answer: 20

Step-by-step explanation:

x+y=5

x-y=4

---------

x+y=5

x=4+y

--------

(4+y)+y=5

4+y+y=5

4+2y=5

2y=1

y=0.5

x=4.5

---------

x²-y²=(4.5)²-(0.5)²=20.25-0.25=20

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3 years ago

The sales totals at Macy's food store have increased exponentially over the months. Which of these best shows the sales in the f

AleksandrR [38]

Answer:

Letter C

Step-by-step explanation:

8 0

3 years ago

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-Dominant- [34]

Answer:

the answer of question number 4 is : (x+4)

6 0

3 years ago

Factor completely 49q^4 - 4​

Factor completely 49q^4 - 4