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nikklg [1K]
3 years ago
8

Place the following steps in order to complete the square and solve the quadratic equation,

Mathematics
1 answer:
dlinn [17]3 years ago
5 0

Answer:

See explanation

Step-by-step explanation:

Given the equation

x^2-6x+7=0

<u>Step 1:</u> Add -7:

x^2-6x=-7

<u>Step 2:</u> Add 9:

x^2-6x+9=-7+9\\ \\x^2-6x+9=2

<u>Step 3:</u> Use perfect square formula:

x^2-6x+9=(x-3)^2\\ \\(x-3)^2=2

<u>Step 4:</u> Take square root:

\sqrt{(x-3)^2}= \sqrt{2}

<u>Step 5:</u> Simplify:

x-3=\sqrt {2}\text{ or }x-3=-\sqrt{2}

<u>Step 6:</u> Add 3:

x=3+\sqrt{2}\text{ or }x=3-\sqrt{2}

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Using mental math, the approximate tip to leave for a bill of $81.79, if you tip 15% would be _____.. a. $8.20 b. $10.30 c. $12.
Anton [14]

Step-by-step explanation:

The approximate tip is - 12.30$

Because bill is 81.79$

and tip - 15%

therefore bill amount divided by 15/100

==> 81.79* 15% is 12.30$

4 0
2 years ago
Read 2 more answers
Which of the following expressions is the conjugate of a complex number with 2 as the real part and 3i as the imaginary part?
lbvjy [14]
The complex number is represented as 2 + 3i. The conjugate of the complex number is the number with equal real part and imaginary part equal in magnitude but opposite in sign. Therefore, the correct answer is option B. The conjugate of the complex number is 2 − 3i.
4 0
3 years ago
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Compune o problema dupa ex.110×10-4×7
iVinArrow [24]
110 x 10 - 4 x 7
1,100 - 28
1,072
6 0
3 years ago
Find the number b such that the line y = b divides the region bounded by the curves x = y^2 − 1 and the y-axis into 2 regions wi
77julia77 [94]
Because of the symmetry, we can just go from x=0 to x=2 to find the area between 
<span>y = x^2 and y = 4 </span>

<span>that area = ∫4-x^2 dx from 0 to 2 </span>
<span>= [4x - (1/3)x^3] from 0 to 2 </span>
<span>= 8 - 8/3 - 0 </span>
<span>= 16/3 </span>

<span>so when y = b </span>
<span>x= √b </span>
<span>and we have the area as </span>
<span>∫(b - x^2) dx from 0 to √b </span>
<span>= [b x - (1/3)x^3] from 0 to √b </span>
<span>= b√b - (1/3)b√b - 0 </span>

<span>(2/3)b√b = 8/3 </span>
<span>b√b =4 </span>
<span>square both sides </span>
<span>b^3 = 16 </span>
<span>b = 16^(1/3) = 2 cuberoot(2) </span>
<span>or appr 2.52</span>
7 0
3 years ago
How would you graph f(x) = 7x + 5 when you reflect it over y axis and translate it 3 units left
SOVA2 [1]

Answer:

See explanation

Step-by-step explanation:

Given the function f(x)=7x+5

1. To reflect the graph of the function f(x) over the y-axis, you should change the slope of the line in opposite. The slope of the function f(x) is 7, so the slope of the reflected function will be -7 and the expression of the reflected function will be

g(x)=-7x+5

2. To translate the function g(x) 3 units left, add 3 units to x, thus the expression for the function will be

h(x)=-7(x+3)+5\\ \\h(x)=-7x-21+5\\ \\h(x)=-7x-16

See attached diagram for details.

8 0
3 years ago
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