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Y_Kistochka [10]
3 years ago
6

What is the solution of the equation (4x + 3)2 = 18?

Mathematics
2 answers:
NemiM [27]3 years ago
5 0

ANSWER IS C <3 E=IGUNITY

Arturiano [62]3 years ago
3 0

Answer:

The solution is \frac{3(-1\pm\sqrt2)}{4}

Step-by-step explanation:

Given the equation (4x + 3)^2 = 18

we have to find the solution of the given equation.

(4x + 3)^2 = 18\\\\16x^2+9+24x=18\\\\16x^2+24x-9=0\\\\\text{The solution is calculated by discriminant rule}\\\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\=\frac{-24\pm\sqrt{576+576}}{32}\\\\=\frac{-24\pm\sqrt{2(576)}}{32}\\\\=\frac{-24\pm24\sqrt{2}}{32}\\\\=\frac{3(-1\pm\sqrt2)}{4}

hence, the solution is \frac{3(-1\pm\sqrt2)}{4}

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Steven has $150. John has J dollars. Steven has 30 less than 2 times the amount John has. How much does John have?
Sedaia [141]

Answer:

J = 90

John has 90 dollars.

Step-by-step explanation:

We need to find how much money John has. To find how much J equals we need to break it down.

We already know that Steven has 150 dollars. We also know that he has 30 less than two times the amount John has.

Steven has 30 less than two times the amount John has.

So 150 + 30 = 180

180 is two times the amount John has.

Because 180 is two times the amount John has we need to divide by two.

180 ÷ 2 = 90.

J = 90. Therefore John has 90 dollars.

This question was tricky! I hope I helped a little! Have a great day!!

6 0
2 years ago
Stephanie goes shopping on Sunday, she has $60. After buying 20 chocolates, she has $10 left. How much did the chocolate cost?
m_a_m_a [10]

Answer: x=2.5


Step-by-step explanation:

First we need to set up and equation

10= 60 - 20x

where x is the amount the cookies cost

subtract 60 from both sides

-50=- 20x

now divide each side by 20 so hat we can isolate the x

-50/-20= x

x= 2.5

now to check just multiply it by 20 then subtract from 60.

2.5 x 10= 50

60-50=10


6 0
4 years ago
Read 2 more answers
Rick bought 3 shirts for $18 each, 2 pair of socks for $3.99 a pair, and a pair of slacks, for $45.00. The sales tax is 8.5%. Ho
ivolga24 [154]
Price of 3 shirts=$18*3=$54
Price of 2 pair of socks=2*$3.99=$7.98
Price of a pair of slack=$45
Total amount- $54+$7.98+ $45-$106.98
Sales tax rate = 8.5%
8.5% of total amount-8.5% of $106.98=
(8.5/100)*106.98-9.0933
Total amount Rick paid=$106.98+9.0933=$116.0733
Regards
6 0
3 years ago
Replacing the maximum value of the data set with a smaller number will also affect the mean. A:always B:sometimes C:never
olga nikolaevna [1]

Answer:

B: sometimes

Step-by-step explanation:

Let's look at two examples.

Example A.

2, 3, 5: mean is 3

Replace 5 with 1. Now you have 1, 2, 3: mean is 2.

In this case, it affected the mean.

Example B.

2, 3, 5: mean is 3

Replace 5 with 4. Now you have 2, 3, 4: mean is 3.

In this case, it did not affect the mean.

As you can see, replacing the maximum value of the data set with a smaller number may or may not change the mean.

Answer: B: sometimes

8 0
3 years ago
A 150-foot fence encloses a garden. What is the length of each side of the garden
Helga [31]
I Think 150 divided by 4=37.5
4 0
3 years ago
Read 2 more answers
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