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2 years ago

Simplify this algebraic expression, please!

Mathematics

1 answer:

sasho [114]2 years ago

6 0

Using the Division Property of Equality you need to divide.

How to get answer:

Reduce the expression by cancelling the common factors.

Factor 3 out of 3y^6.

Cancel the common factor.

Rewrite the expression.

Reduce the expression by cancelling the common factors.

−1⋅14

Last step: Multiply −1 by 14.

Answer: −14

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What is the range of the set {13,5,8,9,15,9}?

erastova [34]

Range=highest number-lowest number

15-5=10
Range=10

8 0

2 years ago

X²=169 extracting square root

ryzh [129]

Answer:

x = ± 13

Step-by-step explanation:

Given

x² = 169 ( take the square root of both sides )

x = ± $\sqrt{169}$ = ± 13

Since 13 × 13 = 169 and - 13× - 13 = 169

7 0

2 years ago

What is the equation of the line that passes through the point (5,6) and has a slope of 2 ?

Serhud [2]

Answer:

y = 2x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (5, 6) into the partial equation

6 = 10 + c ⇒ c = 6 - 10 = - 4

y = 2x - 4 ← equation of line

4 0

2 years ago

Which function is increasing?? :)

exis [7]

Answer:

$\large\boxed{B.\ f(x)=4^x}$

Step-by-step explanation:

Exponential function $f(x)=(a)^x$ is

increasing if $a > 1\to a\in(1,\ \infty)$

decreasing if $0 < a < 1\to a\in(0,\ 1)$

$A.\ f(x)=\left(\dfrac{1}{4}\right)^x\to a=\dfrac{1}{4}\in(0,\ 1)\to\text{decreasing}\\\\B.\ f(x)=4^x\to a=4\in(1,\ \infty)\to\text{increasing}\\\\C.\ f(x)=(0.4)^x\to a=0.4\in(0,\ 1)\to\text{decreasing}\\\\D.\ f(x)=\left(\dfrac{1}{2}\right)^x\to a=\dfrac{1}{2}\in(0,\ 1)\to\text{decreasing}$

7 0

2 years ago

In a particular year, a total 44,064 of students studied in two of the most popular host countries when traveling abroad. If 83

zaharov [31]

Step-by-step explanation:

Total=44,064

Host countries= 2

2nd most popular country= x

Popular country=x+8382

x+x+8,382=44,064

2x=44,064-8,382=35,682

2x=35,682

x=17,842

2nd most popular=17,842

Popular=17,842+8,382=26,224

Answer=26,224

6 0

2 years ago