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2 years ago

What is the solution to -2|x − 1| = -4? A. x = 3 B. x = -1 or x = 3 C. x = 1 or x = 3 D. No solutions exist.

Mathematics

1 answer:

PSYCHO15rus [73]2 years ago

4 0

Answer:

Step-by-step explanation:

-2|x - 1| = -4

|x - 1| = 2

since we are dealing with a function that brings 2 values to the same result, the reverse function (needed to find the values of x that create the result y) has 2 branches :

(x - 1) = 2

and

(x - 1) = -2

x - 1 = 2

x = 3

x - 1 = -2

x = -1

therefore, B is the right answer.

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Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches. Which is the slant h

Nikitich [7]

Answer: 5 inches

Step-by-step explanation:

Given: Volume of clay = 48 cubic inches

If we make a solid square right pyramid with a base edge a= 6 inches.

Then its base area = $a^2=6^2=36\ inches^2$

we know that volume of square right pyramid= $\frac{1}{3}\times\ a^2h$

Therefore, volume of square right pyramid made by all of clay= $\frac{1}{3}\times\ a^2h$ =48 cubic inches

$\Rightarrow\frac{1}{3}\times\ (36)\times\ h=48\\\Rightarrow12h=48\\\Rightarrow\ h=4\ inches.....\text{[Divide 12 on both sides]}$

Now, slant height $l=\sqrt{(\frac{a}{2})^2+h^2}$

$\\\Rightarrow\ l=\sqrt{3^2+4^2}\\\Rightarrow\ l=\sqrt{9+16}\\\rightarrow\ l=\sqrt{25}\\\Rightarrow\ l=5$

The slant height of the pyramid if Helen uses all the clay=5 inches

5 0

3 years ago

Read 2 more answers

What is the value of the 12th term in the sequence 4, 12, 36, 108, ...?

mafiozo [28]

C. 236,196 is your answer

5 0

3 years ago

a first number is 6 more than a second number. the first number multiplied by 2 is 8 more than the second number. what are the t

Andreas93 [3]

Answer:

-2 (negative 2)

Step-by-step explanation:

8÷2 =4

4-6 = -2

hope this helps

4 0

2 years ago

The angle of parallelogram is 12 less than 5 times the measure of these angle

Y_Kistochka [10]

let one angle be X

so, other angle be 5x-12

ATQ

X+5x-12=180

6x=180-12

6x=168

X=168/6

hence X=28

now,one angle=28

other angle is 5×28-12

= 140-12.

= 128

5 0

3 years ago

Bill has saved $825 from his last 8 paychecks. He saved either $75 or $150 a paycheck. Formulate and solve a system of equations

11Alexandr11 [23.1K]

Answer: 5 times

Step-by-step explanation:

Let the number of times that he saved $75 be x.

Let the number of times that he saved $150 be y.

Therefore, based on the information given in the question, we can form an equation which will be:

x + y = 8 ...... i

75x + 150y = 825 ....... ii

From equation I,

x + y = 8

y = 8 - x....... iiii

Put equation iii into ii and this will be:

75x + 150y = 825

75x + 150(8 - x) = 825

75x + 1200 - 150x = 825

75x - 150x = 825 - 1200

-75x = -375

x = 375/75

x = 5

He saved $75 5times from his paycheck.

4 0

3 years ago