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4 years ago

Solve |2x - 2| < 8

Mathematics

1 answer:

Maurinko [17]4 years ago

5 0

C
You split inequality into
2x-2>8 and 2x—2<-8
X>5. X<-3

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Candy selling at $6.00 per pound will be mixed with candy selling at $9.00 per pound. How many pounds of the more expensive cand

Vladimir79 [104]

Given:
x = candy selling at 6 per pound
y = candy selling at 9 per pound

x + y = 15

6x + 9y = 15(7)
6x + 9y = 105

x = 15 - y

6(15-y) + 9y = 105
90 - 6y + 9y = 105
3y = 105 - 90
3y = 15
3y/3 = 15/3
y = 5

There should be 5 pounds of more expensive candy.

x = 15 - y
x = 15 - 5
x =10

There should be 10 pounds of less expensive candy.

8 0

3 years ago

The voltage in an electrical circuit is multiplied by itself each time it is reduced. The voltage is 27/125 of a volt and it has

ANTONII [103]

Answer:

The voltage in exponential form would be $(\frac{3}{5})^3$ .

The original voltage in the circuit is $\frac{3}{5}$ of a volt.

Step-by-step explanation:

Let x represent the original voltage.

We have been given that the voltage in an electrical circuit is multiplied by itself each time it is reduced. The voltage is 27/125 of a volt and it has been reduced 3 times.

The original voltage multiplied by itself for 3 times would be $x\cdot x\cdot x=x^3$ .

Now, we will equate $x^3$ with 27/125 as:

$x^3=\frac{27}{125}$

We know that 27 is cube of 3 and 125 is cube of 5, so we can represent our equation as:

$x^3=\frac{3^3}{5^3}$

$x^3=(\frac{3}{5})^3$

Therefore, the voltage in exponential form would be $(\frac{3}{5})^3$

Now, we will take cube root of both sides to find original voltage in the circuit as:

$\sqrt[3]{x^3} =\sqrt[3]{(\frac{3}{5})^3}$

Using property $\sqrt[n]{a^n} =a$ , we will get:

$x =\frac{3}{5}$

Therefore, the original voltage in the circuit is $\frac{3}{5}$ of a volt.

6 0

4 years ago

What is exponential growth and exponential decay?

andre [41]

Exponential growth occurs when the growth rate of the value of a mathematical function is proportional to the function's current value.
Exponential decay occurs in the same way when the growth rate is negative.

8 0

4 years ago

19 thousand + 7 tens

velikii [3]

19 thousands is 19 x 1000 = 19,000
7 tens is 7 x 10 = 70

19 thousands plus 7 tens is 19,000 + 70 which is 19,070.

8 0

3 years ago

In the regression equation y = -1.2x + 102.45, x represents the number of cloudy school days and y represents the percent of sch

MAVERICK [17]

Answer:

B.80.85%

Step-by-step explanation:

The equation shows that the percent of school attendance depends on cloudy days, in a negative way, which means that the more cloudy days, the less the percentage of students that go to school.

Particular, when there are 18 cloudy days, x takes a value of 18, x=18,
This means that y= -1.2 (18) + 102.45 which equals 80.85%.

4 0

3 years ago