Question

1. what is the value of 5(6x + 7) - 3y² if x = -1 and y = 5? 8. evaluate the expression 3d⁴ - w/3 where d = 4 and w = -75. 9. find the value of -2(b + 4) + 3a - (7 - a)⁵ if a = -3 and b = 5. 10. evaluate the expression 8 ÷ p - 16 ÷ (-5 + 7) where p = 4. 11. evaluate the expression 13 + 6/y - y³ where y = -3

Explanation:

Step1: Substitute $V=-9, y=4$

$7 - 4^2 + 11^2 + 6(-9)$

Step2: Calculate exponents and products

$7 - 16 + 121 - 54$

Step3: Compute final sum/difference

$7-16= -9; -9+121=112; 112-54=58$

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Step1: Substitute $x=-1, y=5$

$5(6(-1) + 7) - 3(5)^2$

Step2: Simplify inside parentheses

$5(-6+7) - 3(25)$

Step3: Calculate products

$5(1) - 75$

Step4: Compute final value

$5 - 75 = -70$

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Step1: Substitute $d=4, w=-75$

$3(4)^4 - \frac{-75}{3}$

Step2: Calculate exponents and division

$3(256) + 25$

Step3: Compute product then sum

$768 + 25 = 793$

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Step1: Substitute $a=-3, b=5$

$-2(5 + 4) + 3(-3) - (7 - (-3))^5$

Step2: Simplify inside parentheses

$-2(9) - 9 - (10)^5$

Step3: Calculate products and exponent

$-18 - 9 - 100000$

Step4: Compute final value

$-27 - 100000 = -100027$

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Step1: Substitute $p=4$, simplify parentheses

$8 \div 4 - 16 \div (-5+7)$

Step2: Perform divisions

$2 - 16 \div 2$

Step3: Compute final value

$2 - 8 = -6$

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Step1: Substitute $y=-3$

$13 + \frac{6}{-3} - (-3)^3$

Step2: Calculate division and exponent

$13 - 2 - (-27)$

Step3: Compute final value

$11 + 27 = 38$

Answer:

1. $58$
2. $-70$
3. $793$
4. $-100027$
5. $-6$
6. $38$