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Pavlova-9 [17]
3 years ago
8

Help meee please !!!

Mathematics
2 answers:
Molodets [167]3 years ago
7 0
Shh shah ahahaiaia suasion
maksim [4K]3 years ago
7 0
Set up two equalities with the given info using x and y as the number of questions in both

X + Y = 24
5x + 3y = 100

Now take the first equation and solve for one variable. We will start with X

X = 24 - Y

Now we have a value for x (24-y). Plug this value for x into the second equation

5(24-y) + 3y = 100

Now solve for y

120 - 5y + 3y = 100
120 -2y = 100
-2y = -20
Y= 10

Now we have the exact y value. Plug this value into the second equation to solve for x

5x + 3(10) = 100
5x + 30 = 100
5x = 70
X = 14

Now check your work by plugging both the value for x and y into the first equation

14 + 10 = 24
24 = 24

X = 14
Y = 10
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Calculate the average rate of change of f(x) = 1 x - x2 - 2 for 3 ≤ x ≤ 6. A) -163 18 B) -18 163 C) 163 18 D) 18 163
larisa86 [58]
To solve this we are going to use the average rate of change formula: A(x)= \frac{f(b)-f(a)}{b-a}
where
A(x) is the average rate of change of the function
f(a) is the position function evaluated at a
f(b) is the position function evaluated at b
a is the first point in the interval
b is the second point in the interval

We can infer for our problem that the first point is 3 and the second point is 6, so a=3 and b=6. Lets replace those values in our formula:
A(x)= \frac{f(b)-f(a)}{b-a}
A(x)= \frac{f(6)-f(3)}{6-3}
A(x)= \frac{6-6^2-2-(3-3^2-2)}{3}
A(x)= \frac{-32-(-8)}{3}
A(x)= \frac{-32+8}{3}
A(x)= \frac{-24}{3}
A(x)=-8

We can conclude that the average rate of change of the function f(x) = 1 x - x2 - 2 for <span>3 ≤ x ≤ 6 is -8</span>
3 0
3 years ago
Read 2 more answers
A parachutist descends 44 feet in 4 seconds. Express the rate of the parachutist's change in height as a unit rate.
Montano1993 [528]

The unit rate of the parachutist change in height is 11 feet per second.

   • In Mathematics, Unitary method is a technique for solving a question by first finding the value of a single unit and then finding the required value by multiplying the number by value of single unit .

   • We use unitary method to find the ratio of one thing with respect to other thing.

   • There are two types of unitary method one is Direct Variation and the other is Inverse variation.

We have the rate of descend as 44 feet in 4 sec.

So, in 1 second it will be = 44 / 4 = 11 feet.

Which is the unit rate.

Therefore, the unit rate of descend for the parachutist is 11 feet per second.

Learn more about unit rate here:

brainly.com/question/19493296

#SPJ9

5 0
1 year ago
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