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3 years ago

PLEASE HELP ME I CAN'T GET THIS WRONG, I KNOW ITS NOT #4

Mathematics

1 answer:

Nina [5.8K]3 years ago

5 0

H(x) = 0.15x - 0.19
p(x) = 0.29x - 0.16

(p · h)(-8) = (0.29(-8) - 0.16)(0.15(-8) - 0.19)
(p · h)(-8) = (-2.32 - 0.16)(-1.2 - 0.19)
(p · h)(-8) = (-2.48)(-1.39)
(p · h)(-8) = 3.4472

It is approximately equal to 3.

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Solve the inequality for x 3^(6x+18)<27^(3x)

Lera25 [3.4K]

Answer:

$\displaystyle x > 6$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Factoring

Algebra II

Exponential Rule [Powering]: $\displaystyle (b^m)^n = b^{m \cdot n}$
Solving exponential equations

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle 3^{6x + 18} < 27^{3x}$

Step 2: Solve for x

Rewrite: $\displaystyle 3^{6x + 18} < 3^{3(3x)}$
Set: $\displaystyle 6x + 18 < 3(3x)$
Factor: $\displaystyle 3(2x + 6) < 3(3x)$
[Division Property of Equality] Divide 3 on both sides: $\displaystyle 2x + 6 < 3x$
[Subtraction Property of Equality] Subtract 3x on both sides: $\displaystyle -x + 6 < 0$
[Subtraction Property of Equality] Subtract 6 on both sides: $\displaystyle -x < -6$
[Division Property of Equality] Divide -1 on both sides: $\displaystyle x > 6$

8 0

3 years ago

Read 2 more answers

If you invest $5,000 at 1.8 percent for 5 years, compounded quarterly, what is the amount in the

Drupady [299]

Answer: C. $5,470

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $5000

r = 1.8% = 1.8/100 = 0.018

n = 4 because it was compounded 3 times in a year(12/4 = 3 times)

t = 5 years

Therefore,

A = 5000(1 + 0.018/4)^4 × 5

A = 5000(1 + 0.0045)^20

A = 5000(1.0045)^20

A = $5470 to the nearest whole number

4 0

3 years ago

Solve the equation 3(x+4.5x ) = 36. Explain your reasoning THOROUGHLY.

Vesna [10]

Answer:

$x \approx 2.18$

Step-by-step explanation:

$3(x+4.5x)=36$

we can use the distributive property and get

$3(x)+3(4.5x)=36\\\\3x+13.5x=36\\\\$

and we can add like terms

$(3+13.5)x=36\\\\16.5x=36$

and know we divide both sides by 16.5

$16.5x*(\frac{1}{16.5})=36*(\frac{1}{16.5})\\\\x=\frac{36}{16.5}$

and doing the dvision we get that

$x\approx 2.18$

3 0

3 years ago

Which graph shows the solution

kodGreya [7K]

The given inequality is:

-5c + 2 ≤ 27

Subtracting 2 from both sides, we get:

-5c + 2 - 2 ≤ 27 - 2
-5x ≤ 25

Dividing by 5 on both sides we get:

- x ≤ 5

Multiplying by -1 we get:

x ≥ 5

Remember that multiplying or dividing by a negative number changes the direction of inequality symbol.

From the given options, the second graph correctly represents this solution.

6 0

4 years ago

Suppose you invest $500 in a savings account that pays 3.5% annual interest.

icang [17]

That would be exponential growth.

Total = principal * (1+rate)^time

Total = 500 * (1+.035)^5

Total = 593.84

7 0

3 years ago