The values of the functions are -1/ 4, 3/ 16 and 3/ 8 respectively.
<h3>What is a function?</h3>
A function is a rule or expression showing the relationship between a dependent and independent variable.
We have the function to be;
f(x) = 3/ 4(x + 2)
Let's find f(-5), substitute the value of x as -5
f(-5) = 3/ 4 ( -5 + 2)
f(-5) = 3/ 4 × -3
f(-5) = -1/ 4
f(2), substitute the value of x as 2
f(2) = 3/ 4(2 + 2)
f(2) = 3/ 4 (4)
f(2) = 3/ 16
f(4) = 3/ 4 ( 4 + 2)
f(4) = 3/ 4(6)
f(4) = 3/ 8
Thus, the values of the functions are -1/ 4, 3/ 16 and 3/ 8 respectively.
Learn more about functions here:
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Answer:
Step-by-step explanation:
The total number of students is 350 + 50 + 225 + 375 = 1000.
There are 225 students in band only, as well as 50 students in both band and choir. So there are 275 students in band out of the total of 1000, or 27.5%.
There are 350 students in choir only, as well as 50 students in both choir and band. So there are 400 students in choir, 50 of whom are also in band. So the probability is 50/400, or 12.5%.
The probabilities are not the same.
Since the probabilities are not the same, the probability of being in band is affected by whether or not the student is in choir. So the events are not independent.
Answer:
A. <u>4</u> trucks will make $80 because 4 × 20 = 80, so they need to wash <u>38</u> cars to make the other $380 because 38 × 10 = 380.
($80 + $380 = $460)
B. <u>15</u> trucks will make $300 because
15 × 20 = 300, so they need to wash <u>16</u> cars to make the other $160 because 16 × 10 = 160. ($300 + $160 = $460)
C. <u>21</u> trucks will make $420 because
21 × 20 = 420, so they need to wash <u>4</u> cars to make the other $40 because 4 × 10 = 40.
($420 + $40 = $460)
D. <u>27</u> trucks will make $540, so they won't have to wash any cars because they would have already exceeded their goal of $460.
Not sure what to do for letter E. Sorry. I hope the rest makes sense though :)
Answer:
The vertex or top is ( 2, -9)
Step-by-step explanation:
Given y = (x - 5 ) * ( x + 1 )
x² - 4x - 5
See attachment.
The vertex of the parabola is the Top.
The vertex of a parabola is the point where the parabola crosses its axis of symmetry.
If the coefficient of the x² term is positive, the vertex will be the lowest point on the graph, the point at the bottom of the “ U ”-shape. If the coefficient of the x² term is negative, the vertex will be the highest point on the graph, the point at the top of the “ U ”-shape.
The standard equation of a parabola is it
y = ax² + bx + c.
But the equation for a parabola can also be written in "vertex form": y = a(x−h)² + k
In this equation, the vertex of the parabola is the point (h,k) = (2, -9)
Answer: Scientific knowledge?
I’m not really sure what you’re asking, but I hope this helped!
Step-by-step explanation:
