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exis [7]
1 year ago
15

Which is the completely factored form of the following equation? 4a4b2−21a2b+5=0

Mathematics
1 answer:
r-ruslan [8.4K]1 year ago
4 0

The completely factored equation is (a²b - 5)(4a²b - 1)

<h3>How to factor equation?</h3>

4a⁴b² - 21a²b + 5 = 0

let's expand the equation

Therefore,

4a⁴b² - 21a²b + 5 = 0

4a⁴b² - 20a²b  - a²b + 5 = 0

Rearrange the equation

4a⁴b² - a²b  - 20a²b + 5 = 0

Let's factorise the equation

4a⁴b² - a²b  - 20a²b + 5 = 0

a²b(4a²b - 1) - 5(4a²b - 1) = 0

Therefore, the completely factored equation is as follows:

a²b(4a²b - 1) - 5(4a²b - 1) = 0

(a²b - 5)(4a²b - 1)

learn more on equation here: brainly.com/question/8842252

#SPJ1

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The table represents a quadratic function. Write an equation of the function in standard form.
kakasveta [241]

The equation of the quadratic function in standard form as required in the task content is; f(x) = -x² + 12x - 43.

<h3>Standard form equation of a quadratic function.</h3>

It follows from the task content that the standard form equation of the quadratic function is to.be determined.

Since the standard form equation can be derived from the vertex form equation as follows;

f(x) = a (x - h)² + k

f(x) = a (x - 6)² - 7

Hence, to find the value of a, Substitute x = 8 and f(x) = -11 so that we have;

-11 = a (8 - 6)² - 7

-11 = 4a - 7

4a = -4

a = -1.

Hence, the equation in vertex form is; f(x) = -1 (x -6)² - 7 and when expressed in standard form we have;

f(x) = -1(x² - 12x + 36) - 7

f(x) = -x² + 12x - 43

Therefore, the required equation in standard form is; f(x) = -x² + 12x - 43.

Read more on quadratic functions;

brainly.com/question/25841119

#SPJ1

5 0
1 year ago
Find the unit rate.<br> 180 miles in 3 hours
leva [86]

Answer:

60 miles per hour

Step-by-step explanation:

First, put the equation in a fraction.

You would put 180 up top because people always say miles per hour not the other way around.

You can see the dividing line as your "per" and your "hour" would be the bottom number.  

To find the unit rate, you will divide the numerator (180) and the denominator (3).  

Your final answer should be 60 miles per hour.

\frac{180}{3} = \frac{60}{1}= 60

3 0
2 years ago
Steve weighs 18 more pounds than Ryan. If their weight totals 144 pounds, how much does Ryan weigh?
Darya [45]

Answer:

A) Steve = Ryan +18

B) Steve + Ryan = 144

A) Steve -Ryan = 18 then adding B

B) Steve + Ryan = 162

2 Steve = 162

Steve weighs 81 pounds

Ryan weighs (81 -18) pounds 63 pounds

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Can anyone help me find the value please?
AURORKA [14]

Answer:

the answer is x=15 cm

Step-by-step explanation:

here the above given figure is a rectangle ABCD with diagonals AC and BD measuring AC= (x+10)cm and BD=(3x-20) cm

Now,

AC=BD

or, 3x-20 = x+10 [ diagonals of a rectangle are equal]

or, 2x = 30

or, x= 15 cm

I HOPE IT WILL HELP YOU!!!

5 0
2 years ago
A number divided by -8 is 7. write as a equation
marissa [1.9K]
-56 divided by -8 is 7
8 0
3 years ago
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