Answer:
a=5, s=3
Step-by-step explanation:
a=adult s=student
then write 2 equations to represent the amount of people and money
a+s=8
7.25a+5.5s=52.75
• To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
{a+s=8, 7.25a+5.5s=52.75}
• Choose one of the equations and solve it for a by isolating a on the left hand side of the equal sign.
a+s=8
• Subtract s from both sides of the equation.
a=−s+8
• Substitute −s+8 for a in the other equation, 7.25a+5.5s=52.75.
7.25(−s+8)+5.5s=52.75
• Multiply 7.25 times −s+8.
−7.25s+58+5.5s=52.75
• Add −29s/4 to 11s/2.
−1.75s+58=52.75
• Subtract 58 from both sides of the equation.
−1.75s=−5.25
• Divide both sides of the equation by −1.75, which is the same as multiplying both sides by the reciprocal of the fraction.
s=3
• Substitute 3 for s in a=−s+8. Because the resulting equation contains only one variable, you can solve for a directly.
a=−3+8
• Add 8 to −3.
a=5
One weighs a pound and the other pounds away!
We will use the Reminder theorem.
The polynomial f ( x ) is divisible by x - a when f ( a ) = 0.
For the 1st one:
f ( - 2 ) = ( - 2 )³ + 7 · ( - 2 )² + 14 · ( - 2 ) + 8 =
= - 8 + 28 - 28 + 8 = 0
For the 2nd one:
f ( 5 ) = 3 · 5³ - 12 · 5² - 4 · 5 - 55 =
= 375 - 300 - 20 - 55 = 375 - 375 = 0
Answer;
1. ( x + 2 )
2. ( x - 5 )
Answer:
They did not flip the inequality
Step-by-step explanation:
-x/4 < (x+2)/3
Multiply each side by 3
-3x<4x+8
Subtract 4x from each side
-3x-4x <4x-4x +8
-3x-4x<8
Combine like terms
-7x<8
Divide by -7. Remember to flip the inequality
-7x/-7 > 8/-7
x > -8/7