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slamgirl [31]
3 years ago
15

Below is a family of facts . Select the boxes to show the complete family of facts.

Mathematics
1 answer:
vladimir2022 [97]3 years ago
5 0
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You might be interested in
Find the average rate of change of each function over the interval [0, 2]. Match each representation with its respective average
marishachu [46]
Average rate of change over interval [a,b]: r=[f(b)-f(a)]/(b-a)
In this case the interval is [0,2], then a=0, b=2
r=[f(2)-f(0)]/(2-0)
r=[f(2)-f(0)]/2

1) First function: h(x)
r=[h(2)-h(0)]/2
x=2→h(2)=(2)^2+2(2)-6
h(2)=4+4-6
h(2)=2
x=0→h(0)=(0)^2+2(0)-6
h(0)=0+0-6
h(0)=-6
r=[h(2)-h(0)]/2
r=[2-(-6)]/2
r=(2+6)/2
r=(8)/2
r=4

2) Second function: f(x)
A function, f, has an
x-intercept at (2,0)→x=2, f(2)=0
and a y-intercept at (0,-10)→x=0, f(0)=-10
r=[f(2)-f(0)]/2
r=[0-(-10)]/2
r=(0+10)/2
r=(10)/2
r=5

3) Third function: g(x)
r=[g(2)-g(0)]/2
From the graph:
g(2)=6
g(0)=2
r=(6-2)/2
r=(4)/2
r=2

4) Fourth function: j(x)
r=[j(2)-j(0)]/2
From the table:
x=2→j(2)=-8
x=0→j(0)=4
r=(-8-4)/2
r=(-12)/2
r=-6

Answer:
Pairs
1) h(x)     4
2) f(x)      5
3) g(x)     2
4) j(x)     -6
8 0
3 years ago
Quinzel and Joseph sell shoes. Last month Quinzel sold 18 less pairs
hichkok12 [17]

Answer:

Quinzel sold 17 pairs of shoes last month.

Step-by-step explanation:

Let be "Q" the number of pairs of shoes Quinzel sold last month and "J" the number of pairs of shoes Joseph sold last month.

Set up a system of equations:

\left \{ {{Q=J-18} \atop {Q+J=52} \right.

Solve for "J" from the first equation:

J=Q+18

Applying the Substitution Method, you get:

Q+J=52\\\\Q+(Q+18)=52\\\\2Q=52-18\\\\Q=\frac{34}{2} \\\\Q=17

7 0
3 years ago
A car travels 240 kilometers in 2 1/2 hours what is its speed
Oksanka [162]

Answer:

v = 96 km/h

Step-by-step explanation:

Data:

d = 240 km

t = 2.5 h

speed = d/t

speed = 240/2.5 = 96 km/h

8 0
3 years ago
The measures of dispersion is always​
olya-2409 [2.1K]

Answer:

always a positive number because it represents a distance from the mean.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
the spice recipe calls for 1/2 tsp of crushed red pepper for every 1 1/4 tsp of black pepper. you use 6 tsp of crushed red peppe
aksik [14]
15 tsp of black pepper was used. 2 half tsp = one whole tsp. 12 half tsp is equivalent to 6 tsp. Multiply 1 1/4 by 12 and you get 15. <span />
4 0
2 years ago
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