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dybincka [34]
2 years ago
5

(3x + 5)(x2 + 6x +11) multiply

Mathematics
2 answers:
vagabundo [1.1K]2 years ago
8 0
3x^3+18x^2+33x+5x^2+30x+55
3x^3+23x^2+63x+55
viva [34]2 years ago
3 0

Answer:

3x³ + 23x² + 63x + 55

Step-by-step explanation:

Given

(3x + 5)(x² + 6x + 11)

Each term in the second factor is multiplied by each term in the first factor, that is

3x(x² + 6x + 11) + 5(x² + 6x + 11) ← distribute both parenthesis

= 3x³ + 18x² + 33x + 5x² + 30x + 55 ← collect like terms

= 3x³ + 23x² + 63x + 55

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Sally and Karl work at different jobs. Sally earns $7 per hour and Karl earns $5 per hour. They each earn the same amount per we
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Answer:

Karl works 7 hours a week

Step-by-step explanation:

Step 1: Determine total amount that Sally earns

Total amount Sally earns=rate per hour×number of hours worked(h)

where;

Rate per hour=$7 per hour

Number of hours worked=h

Replacing;

Total amount Sally earns=(7×h)=7 h

Step 2: Determine total amount Karl earns

Total amount Karl earns=rate per hour×number of hours worked

where;

rate per hour=$5

number of hours worked=2 more than Sally=h+2

replacing;

Total amount Karl earns=5(h+2)

Step 3: Equate Sally's total earnings to Karl's total earnings and solve for h

7 h=5(h+2)

7 h=5 h+10

7 h-5 h=10

2 h=10

h=10/2

h=5

Karl works (h+2) hours=(5+2)= 7 hours

Karl works 7 hours a week

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