MATHEMATICS HIGH SCHOOL

Solve.y=x−8
2x+3y=1

Use the substitution method.



(2, −6)

(5, −3)

(0, −8)

(4, −4)

Answers

Answer 1
Answer: Because 2x+3y=1 and the value of y is x-8,we substitute
2x + 3(x-8)=1
2x +3x- 24=1
5x = 24
x=4.8

Given that we have the value of x, we can now substitute it in the other equation.
y=x-8
y=4.8-8
y= -3.2

The answer is (4.8, -3.2)

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What is the simplified base for the function f(x) = 2(3√27(2x)?2
3
9
18

Answers

Answer:

option C is correct i.e. 9

Step-by-step explanation:

We have given that : f(x)=2 \sqrt[3]{27^(2x)}

To find : The simplified base of the function f(x)  

Solution:

Now, we solve the equation  

f(x)=2 \sqrt[3]{27^(2x)}

f(x)=2(27^x)^{(2)/(3)}  

f(x)=2(3^(2x))  

f(x)=2((3^2)^(x))  

f(x)=2(9^(x))  

Therefore, the  simplified base of the function f(x) is 9

Answer:

Option C is correct

9 the simplified base for the given function f(x)

Step-by-step explanation:

Using exponent rules:

(x^m)^n = x^(mn)

\sqrt[n]{x^b} = x^{(b)/(n)}

Given the function:

f(x) = 2\sqrt[3]{27^(2x)}

We can write 27 as:

27 = 3 \cdot 3 \cdot 3 = 3^3

then;

f(x) = 2\sqrt[3]{(3^3)^(2x)}

Apply the exponent rules:

f(x) = 2\sqrt[3]{3^(6x)}

Apply the exponent rules:

f(x) =2 \cdot (3^(6x))^{(1)/(3)} = 2 \cdot 3^(2x)

⇒f(x) = 2 \cdot (3^2)^x = 2 \cdot 9^x

⇒f(x) =2 \cdot 9^x

On comparing with exponential function f(x) = ab^x where, b is base of the exponent function, then

b = 9

Therefore, the simplified base for the given function is, 9

What is the factored form of 25x²-64?

Answers

Answer:

  • 25x²-64
  • (5x)²-8²
  • (5x-8)(5x+8)

hope it helps.

Use the formula an = d (n − 1) + aj to write a formula for the arithmetic sequence below.2, 6, 10, 14, 18,

Answers

Answer:

a_(n) = 4n - 2

Step-by-step explanation:

There is a common difference d between consecutive terms in the sequence, that is

6 - 2 = 10 - 6 = 14 - 10 = 18 - 14 = 4

This indicates the sequence is arithmetic with n th term

a_(n) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 4 , thus

a_(n) = 2 + 4(n - 1) = 2 + 4n - 4 = 4n - 2

How can I find the area of this figure?​

Answers

Answer:

Area = y² + 2x + 1

Step-by-step explanation:

You have to combine like terms:

The little square is 1 unit, so 1

The two bars are each worth x, so 2 * x = 2x

The big square is y²

The total area is the sum of all terms:

Area = y² + 2x + 1

-Chetan K

The cone and cylinder below have equal surface area. True or false.

Answers

Answer:

False

Step-by-step explanation:

SA of cone = pi×r×l + pi×r²

= pi×r×(3r) + pi×r²

= 3pi×r² + pi×r²

= 4pi×r²

SA of cylinder = 2pi×r×h + 2pi×r²

= 2pi×r×2r + 2pi×r²

= 4pi×r² + 2pi×r²

= 6pi×r²

the gathering of information about public opinion by questioning a representative sample of the population is

Answers

Answer:

polling

Step-by-step explanation:
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