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2 years ago

Evaluate the expression for the given values of the variables.

Mathematics

1 answer:

pochemuha2 years ago

5 0

The expression 9p − 8q for p = 4 and q = −8 is equal to 100

<h3>Solution:</h3>

Given that we have to evaluate expression for the given values of the variables

Expression is:

⇒ 9p − 8q

Given that p = 4 and q = -8

Let us substitute the given values of p = 4 and q = -8 in given expression and evaluate it

⇒ 9p − 8q = 9(4) - 8(-8)

⇒ 9p - 8q = 9(4) + 8(8)

Upon multiplying the terms we get,

⇒ 9p - 8q = 36 + 64 = 100

Thus the expression is equal to 100

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NO LINKS!! Please help me with these notes. Part 1a

erik [133]

Answers:

When we evaluate a logarithm, we are finding the exponent, or power x, that the base b, needs to be raised so that it equals the argument m. The power is also known as the exponent.

$5^2 = 25 \to \log_5(25) = 2$

The value of b must be positive and not equal to 1

The value of m must be positive

If 0 < m < 1, then x < 0

A logarithmic equation is an equation with a variable that includes one or more logarithms.

===============================================

Explanation:

Logarithms, or log for short, basically undo what exponents do.

When going from $5^2 = 25$ to $\log_5(25) = 2$ , we have isolated the exponent.

More generally, we have $b^x = m$ turn into $\log_b(m) = x$

When using the change of base formula, notice how

$\log_b(m) = \frac{\log(m)}{\log(b)}$

If b = 1, then log(b) = log(1) = 0, meaning we have a division by zero error. So this is why $b \ne 1$

We need b > 0 as well because the domain of y = log(x) is the set of positive real numbers. So this is why m > 0 also.

5 0

2 years ago

What is the factored form of t6 − p3?

Mama L [17]

Answer:

(C). (t² - p)( $t^{4}$ + pt² + p²)

Step-by-step explanation:

a³ - b³ = (a - b)(a² + ab + b²)

$t^{6}$ - p³ = (t²)³ - p³ = (t² - p)(  $t^{4}$  + pt² + p²)

4 0

2 years ago

The equation P=31+1.75w models the relation between the amount of Tuyet’s monthly water bill payment, P, in dollars, and the num

umka2103 [35]

Answer: $P = \$\ 52$

Step-by-step explanation:

We have the equation $P = 31 + 1.75w$ where P represents the payment and w represents the amount of water used.

To calculate the monthly payment that corresponds to 12 units of water you must do $w = 12$ in the main equation and solve for the variable P.

$P = 31 + 1.75w$

$P = 31 + 1.75(12)$

$P = 31 + 21$

$P = 52$

3 0

2 years ago

You went to the mall with $52.50. You bought three shirts that each cost x

yanalaym [24]

52.50-3x=Remainder
Explanation:
52.50 starting amount
3x (3 shirts) (1 shirt=x)
52.50-3 shirts=remainder

7 0

3 years ago

Is 2 feet longer than 30 inches

loris [4]

1 foot is 12 inches. 2 feet is 24 inches. yea so I'd say 30 inches is definitely longer

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2 years ago