Question

medium
evaluate each expression for the given value:
a. -7.8 + 2b + 1.6 for b=1.5 b. (3/4)(15 - w) for w=7 c. (-3k + 8)/10 for k=0.4

spicy
evaluate each expression:
a. n² + 6 for n=3 b. (1/2)f - f² for f=10 c. y - 5p for y=20 & p=3

Explanation:

Part: MEDIUM

a. Evaluate \(-7.8 + 2b + 1.6\) for \(b = 1.5\)

Step 1: Simplify the constants

First, combine the constant terms \(-7.8\) and \(1.6\).
\(-7.8 + 1.6=-6.2\)

Step 2: Substitute \(b = 1.5\) and calculate \(2b\)

Now, substitute \(b = 1.5\) into \(2b\), so \(2\times1.5 = 3\)

Step 3: Combine all terms

Now, add the results from step 1 and step 2: \(-6.2+3=-3.2\)

Step 1: Subtract \(w\) from \(15\)

First, calculate \(15 - w\) when \(w = 7\): \(15 - 7 = 8\)

Step 2: Multiply by \(\frac{3}{4}\)

Now, multiply the result by \(\frac{3}{4}\): \(\frac{3}{4}\times8 = 3\times2=6\)

Step 1: Substitute \(k = 0.4\) into \(-3k\)

Calculate \(-3k\) when \(k = 0.4\): \(-3\times0.4=-1.2\)

Step 2: Add 8 to the result

Now, add 8 to \(-1.2\): \(-1.2 + 8 = 6.8\)

Step 3: Divide by 10

Divide the result by 10: \(\frac{6.8}{10}=0.68\)

Answer:

\(-3.2\)

b. Evaluate \(\frac{3}{4}(15 - w)\) for \(w = 7\)