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oee [108]
3 years ago
7

Find all solutions to the equation equation (x - 1)^2 = -4.

Mathematics
1 answer:
tatuchka [14]3 years ago
6 0

Answer:

x = 1±2i

Step-by-step explanation:

(x - 1)^2 = -4.

Take the square root of each side

sqrt( (x - 1)^2) = sqrt(-4)

Sqrt(ab) = sqrt(a)sqrt(b)

We know the sqrt(4) = 2 and the sqrt(-1) = ±i

x-1 = ±2i

Add 1 to each side

x-1+1 = 1±2i

x = 1±2i

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Someone pls help me ill give out brainliest pls don’t answer if you don’t know
Akimi4 [234]

Answer:

B.

\sqrt{256}  \: and \:  \sqrt{289}

Step-by-step explanation:

Explanation:

\sqrt{256 }  = 16 \\  \sqrt{289}  \:  = 17

5 0
3 years ago
?<br> For which value of x is the inequality 45 - 4x &lt; 14 true?
viktelen [127]

Answer:

7.75

Step-by-step explanation:

You group like terms from the inequality above ie by making the x value stands alone and you can only do this by sending 14 to the left side of the inequality and 4x to the right side. This becomes 45-14 < 4x and that gives you 31 < 4x. Then you divide both side by the number attached to the variable 'x' ie 4. So 31/4 < 4x/4 making x > 31/4 which is 7.75

8 0
3 years ago
12.5*<img src="https://tex.z-dn.net/?f=12.5%20%2A17.9%3D" id="TexFormula1" title="12.5 *17.9=" alt="12.5 *17.9=" align="absmiddl
kkurt [141]
The answer is 223.75 because you multiply 12.5 and 17.9
5 0
3 years ago
Talia works 6 hours per day on Fridays and Saturdays each week. She earns $8.20 per hour
Simora [160]

<u>Question 1 </u>

Talia works 6 hours on Friday and 6 hours on Saturday. Total Work = 6+6 = 12 hours.

Hourly Rate = 8.20 dollars per hour.

Gross Pay = (Total Work) x (Hourly Rate) = 12 x 8.20 = 98.40 dollars.

Hence, option D is correct i.e. 98.40 dollars.

<u>Question 2 </u>

Mikey worked 8 hours on Wednesday, 6 hours on Thursday and 7 hours on Friday.

Total Work = 8+6+7 = 21 hours.

Gross Pay = 187.95 dollars.

Hourly Rate = (Gross pay)/(Total work) = (187.95)/21 = 8.95 dollars per hour.

Hence, option A is correct i.e. 8.95 dollars per hour.

<u>Question 3 </u>

Nina's Hourly Rate for first 40 hours = 12.25 dollars per hour.

Overtime rate for after first 40 hours = 1.5 x 12.25 = 18.375 dollars per hour.

Total work = 46 hours.

Gross Pay = (Hourly rate)x(first 40 hours) + (Overtime rate)x(Excess time after first 40 hours)

Gross pay = (12.25 x 40) + (18.375 x 6)

Gross pay = 490 + 110.25

Gross pay = 600.25 dollars.

Hence, option A is correct i.e. 600.25 dollars.

<u>Question 4 </u>

Tip amount = 15 dollars.

Meal cost = 75 dollars.

Tip percentage = (Tip amount / Meal cost) x 100

Tip percentage = (15 / 75) x 100 = 20%

Hence, option B is correct i.e. 20%

<u>Question 5 </u>

Weekly Salary = 844 dollars.

Commision Rate = 4% = 0.04

Last week Sales = 3250 dollars.

Last week commission on sales = 0.04 x 3250 = 130 dollars.

Gross pay = Weekly Salary + Commission amount.

Gross pay = 844 + 130 = 974 dollars.

Hence, option C is correct i.e. 974.00 dollars.

5 0
3 years ago
Find the midpoint of the line segment joining points A and B.<br> A(2,- 7); B(2,3)
Ad libitum [116K]

Answer: (2, -2)

Step-by-step explanation:

\left(\frac{2+2}{2}, \frac{3-7}{2} \right)=(2,-2)

8 0
1 year ago
Read 2 more answers
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