Answer:
C)
f(–3) = 9
Step-by-step explanation:
Given f(x) = 4x^4 + 5x^3 – 15x^2 – 45
f(-3) means let x = -3
f(-3) = 4(-3)^4 +5(-3)^3 – 15(-3)^2 – 45
=4(81) +5(-27) -15(9) -45
= 324 - 135 - 135 -45
=9
Answer:
1
Step-by-step explanation:
We will consider only the last digit multiplication and the pattern.
When we multiply 843,219 with 843,219, we have
9 * 9 = 81 [1 is important]
1 * 9 = 9
9 * 9 = 81 [1 is important]
So when we multiply them out with each other, we have a pattern of
9, 1, 9, 1 ... goes on
So if we multiply 100 times, what will be the last digit of the series 9, 1, 9, 1 .... it will be 1
hence, last digit is 1
Answer:
Volume= 2.92cubic yard
Step-by-step explanation:
Converting to ft
23ft9inches= 23+(9/12)=23.75ft
10ft 1 in= 10 +(1/12)= 10.083ft
4 inches= (4/12)=0.333ft
Volume= L×W×H
Volume= 23.75 × 10.083×0.33= 79.02ft^3
Converting to cubic yard
1 cubic foot= 0.037 cubic yard
79.02 cubic feet= 0.037× 79.02= 2.92cubic yard
There are 15 mini hotdogs and 5 mini pizza rolls in the combination meal.
Step-by-step explanation:
Given,
Calories in each hotdog = 80 calories
Calories in each mini pizza = 50 calories
Combined meal = 20
Combined calories = 1450 calories
Let,
x represent the number of hot dogs.
y represent the number of mini pizzas.
According to given statement;
x+y=20 Eqn 1
80x+50y=1450 Eqn 2
Multiplying Eqn 1 by 80

Subtracting Eqn 2 from Eqn 3

Dividing both sides by 30

Putting y=5 in Eqn 1

There are 15 mini hotdogs and 5 mini pizza rolls in the combination meal.
Keywords: linear equation, elimination method
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