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Anni [7]
1 year ago
12

What value is needed to complete the square? Show all steps X^2-2x+___

Mathematics
1 answer:
BartSMP [9]1 year ago
3 0

The perfect square trinomial is x² - 2x + 1.

Hence, the value needed to complete the square of the expression ( x² - 2x + --- ) is 1.

<h3>What value is needed to complete the square?</h3>

The quadratic expression in its standard form is;

ax² + bx + c

Given the expression in the question;

x² - 2x + ------

Compared with the standard for a quadratic expression

  • a = 1
  • b = -2
  • c = ?

Let the missing value be represented by "c"

x² - 2x + c

Now, to find the value of c, we divide the coefficient of x by 2 and then square the result.

Note that, coefficient of x is b

c = ( b/2 )²

We substitute

c = ( -2/2 )²

c = ( -1 )²

c = 1

The perfect square trinomial is x² - 2x + 1.

Hence, the value needed to complete the square of the expression ( x² - 2x + --- ) is 1.

Learn more about quadratic expressions here: brainly.com/question/12356597

#SPJ1

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You are purchasing a house 12 years from now. the estimated purchase price is $171,600.00. you want to make a 20% down payment.
diamong [38]
Answer:
$238.33

Explanation:
Assume that the amount you need to save per month is x.

You will be saving monthly for 12 years. This means that the amount you will save after 12 years is:
amount saved after 12 years = 12 * 12 * x = 144x

Now, you need to save 20% of $<span>171,600.00. We will first need to calculate this value.
20% of $</span>171,600.00 = 0.2 * <span>171,600.00 = $34320

Now, to know your monthly savings, equate the total amount saved in 12 years with the amount that needs to be saved and solve for x as follows:
144x = 34320
x = 34320 / 144
x = 238.33

This means that, to meet your goal, you need to save $238.33 monthly for 12 years.

Hope this helps :)</span>
8 0
3 years ago
What number does x stand for in this equation?<br><br> -7x + 6=27
AURORKA [14]
⓵ You need to solve the left side first in order to isolate the × and find it’s value :

-7× + 6 = 27
-6 -6
↓

-7× = 21
÷-7 ÷-7

↓

× = -3

If you find it too difficult to divide a number by a negative, just divide 21 by 7 and always remember that when dividing, when the signs are different the answer is negative. So knowing that you could just divide 21 by 7, which is 3, and add a negative sign in front!


I hope this helped, if there’s anything let me know! ☻
3 0
3 years ago
Find the quotient of the quantity negative 12 times x to the 3rd power plus 21 times x to the 2nd power minus 6 times x all over
PIT_PIT [208]
The correct answer would be A
7 0
3 years ago
Read 2 more answers
Five dollars is what quarters
defon
The awnser is 20 quarters
4 0
3 years ago
Two 5-year girls, Alyse and Jocelyn, have been training to run a 1-mile race. Alyse's 1 mile time A is approximately Normally di
tatyana61 [14]

Answer:

1.7 × 10⁻⁴

Step-by-step explanation:

The question relates to a two sample z-test for the comparison between the means of the two samples  

The null hypothesis is H₀:  μ₁ ≤ μ₂

The alternative hypothesis is Hₐ: μ₁ > μ₂

z=\dfrac{(\bar{x}_1-\bar{x}_2)-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}

Where;

\bar {x}_1 = 13.5

\bar {x}_2 = 12

σ₁ = 2.5

σ₂ = 1.5

We set our α level at 0.05

Therefore, our critical z = ± 1.96

For n₁ = n₂ = 23, we have;

z=\dfrac{(13.5-12)-(0)}{\sqrt{\dfrac{2.5^{2} }{23}-\dfrac{1.5^{2}}{23}}} = 3.5969

We reject the null hypothesis at α = 0.05, as our z-value, 3.5969 is larger than the critical z, 1.96 or mathematically, since 3.5969 > 1.96

Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day and the probability that Alyse has a larger time than Jocelyn is 0.99983

Therefore;

The probability that Alyse has a smaller time than Jocelyn is 1 - 0.99983 = 0.00017 = 1.7 × 10⁻⁴.

8 0
3 years ago
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