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nadezda [96]
3 years ago
7

Using the method of completing the square to solve the quadratic equation ::

Mathematics
1 answer:
Sonbull [250]3 years ago
4 0

Answer:

100 should be added to 'complete the squre'

Step-by-step explanation:

{x}^{2}  - 20x + 24 = 0 \\ ( {x}^{2}  + 2 \times 10 \times x  +  {10}^{2})  -  {10}^{2} + 64 = 0 \\  {(x - 10)}^{2}  - 100 + 64 = 0 \\  {( x - 10)}^{2}  - 36 = 0 \\    {(x - 10)}^{2}  = 36 \\ (x - 10) =  \pm 6 \\ x = 10 \pm 6 \\  x = 10 + 6 \:  \: or \:  \: x = 10 - 6 \\   x = 16 \:  \: or \:  \: x = 4

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Step-by-step explanation:

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3 years ago
Shania's test scores in 8 subjects were 88, 91, 85, 74, 69, 72, 80, and 87. Which measure should Shania use to find how much the
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✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

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3 years ago
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6. Find the average rate of change of Pete's height from 3 years
Andre45 [30]

Answer:

The Answer is "4 inches per year"

Step-by-step explanation:

To find the Average Rate of Change, you use:

\frac{y_{2} -y_{1}}{x_{2} -x_{1}}

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\frac{45-37}{5-3}

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2 years ago
Faelyn grouped the terms and factored the GCF out of the groups of the polynomial 6x4 – 8x2 + 3x2 + 4. Her work is shown. Step 1
fiasKO [112]

Answer:

B. Faelyn should realize that her work shows that the polynomial is prime

Step-by-step explanation:

The polynomial 6x⁴ – 8x² + 3x² + 4 needs to be factored and the steps are:

Step 1: (6x⁴ – 8x²) + (3x² + 4)

Step 2: 2x²(3x² – 4) + 1(3x² + 4)

Since they do not have a common factor, Faelyn should realize that her work shows that the polynomial is prime. A prime polynomial cannot be factored further because it is at its lowest common term and cannot be factored into any other polynomial of a lower degree. Prime polynomials have integer coefficients. A prime polynomial is also referred to as an irreducible polynomial.

6 0
3 years ago
Four years after opening an account that paid simple interest of 4.25% annually, a depositor withdrew the $2,380 in interest ear
satela [25.4K]

Answer:

Step-by-step explanation:

In order to figure out how much money was left in the account after the interest was withdrawn, we have to first find out how much money was initially deposited to earn that amount of interest! The means to find that initial investment is found in the simple interest formula

prt = I, where

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r is the interest rate in decimal form,

t is the time in years, and

I is the interest earned. Notice that we have all those things but the p.

Filling in:

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That means that 14000 was initially invested. If the depositor withdrew the 2380, then

14000 - 2380 is the amount left in the account, namely, $11620

7 0
3 years ago
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