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3 years ago

Write the quadratic equation whose roots are 2 and -4 and whose leading coefficient is 2

Mathematics

1 answer:

Goryan [66]3 years ago

5 0

Answer:

2x^2+4x-16

Step-by-step explanation:

The quadratic can be written as

f(x) = a(x-z1)(x-z2) where z1 and z2 are the roots

f(x) = a (x-2)(x- -4)

a is the leading coefficient

f(x) = 2(x-2)(x+4)

= 2(x^2 -2x+4x-8)

= 2(x^2 +2x-8)

= 2x^2 +4x-16

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If h(x) = x - 7 and g(x) = x^2 , which expression is equivalent to (gOh)(5)?

Ann [662]

(5 - 7)^2 is your answer

7 0

3 years ago

Can you please help me

ioda

Answer: 1/6

Step-by-step explanation:

Given:

4/9 and 11/18

Solve:

STEP ONE: Make the denominators equal by determining the LCM

LCM = Least Common Multiple

First Five multiples of 9 = 9, 18, 27, 36, 45

First FIve multiples of 18 = 18, 36, 54, 72, 90

As we can see from the list above, both 18 and 36 overlap, however, 18 is less than 36. Therefore, 18 is the LCM.

STEP TWO: Compare the size and determine the greater one.

4/9 = (4 × 2) / (9 × 2) = 8/18

11/18 = 11/18

Since 11 > 8, therefore, 11/18 is greater than 8/18

STEP THREE: Find the difference between the two fractions.

11/18 - 4/9

=11/18 - 8/18

=(11 - 8) / 18

= 3 / 18

= 1/6

Hope this helps!! :)

Please let me know if you have any questions

6 0

3 years ago

Here is a list of numbers: 2, 13, 13, 6, 10,4 16,14,20 State the median.

Travka [436]

Answer:

Median = 13

Step-by-step explanation:

Arranging it in ascending order:

=> 2,4,6,10,13,13,14,16,20

Median is the middlemost no.

So,

=> Median = 13

5 0

3 years ago

Read 2 more answers

Find the greatest common factor of each set of numbers 12 54

max2010maxim [7]

I hope this helps you

4 0

3 years ago

TRAP ~ EZYD. Use the diagram on the right to find the scale factor of TRAP to EZYD. Show work.

nikitadnepr [17]

The scale factor of TRAP to EZYD is 1.25.

<h3>What is dilation</h3>

Dilation is the increase or decrease in the size of a figure by a scale factor of k. If k > 1 it is an increase and if k < 1, it is a decrease.

To find the scale factor of TRAP to EZYD:

Scale factor = ZE / TR = 15 / 12 = 1.25

The scale factor of TRAP to EZYD is 1.25.

Find out more on dilation on: brainly.com/question/10253650

4 0

2 years ago