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yarga [219]
2 years ago
13

Bruce pitches for his little brother's baseball team. He has observed that the number of pitches a batter hits varies and is giv

en by the function f(x) = x – 11, where x is the number of pitches and f(x) is the number of hits. If batters get {4, 12, 14, 27, 42} hits, how many pitches did Bruce throw? A. {13, 21, 24, 26, 44} B. {17, 24, 27, 28, 35} C. {20, 27, 32, 33, 45} D. {15, 23, 25, 38, 53}
Mathematics
1 answer:
Komok [63]2 years ago
7 0

Answer:

D.{15,23,25,38,53}

Step-by-step explanation:

Replace f(x) with any other variables of your choice.

Substitute the value of the variable for the given set of hits

that is {4,12,14,27,42}

Solve for x for each value of the variable from the above set

Put all the solution for x in a set that is inside {,} brackets.

The correct option should be D

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Help<br>i need H - G answered ​
exis [7]

Answer:

See below.

Step-by-step explanation:

H.

f = 3x + 31

c = 12x - 1

3x + 31 + 12x - 1 = 180

15x + 30 = 180

15x = 150

x = 10

same-side interior, supplementary

R.

b = x - 10

g = 4x + 60

x - 10 + 4x + 60 = 180

5x + 50 = 180

5x = 130

x = 26

same-side exterior, supplementary

E.

d = 2x + 13

e = 7x + 5

2x + 13 + 7x + 5 = 180

9x + 18 = 180

9x = 162

x = 18

same-side interior, supplementary

I.

a = 10x - 30

e = 8x + 20

10x - 30 = 8x + 20

2x = 50

x = 25

corresponding, congruent

G.

b = x + 30

h = 5x - 14

5x - 14 = x + 30

4x = 44

x = 11

alternate exterior, congruent

6 0
3 years ago
Question 1
Lunna [17]

Answer:

1)x=21.33

2)Height of tree is 20 m

Step-by-step explanation:

Question 1

ΔABC ≈ΔADE

Property of similar triangles :Corresponding sides of similar triangles are all in the same proportion

So,\frac{AB}{AD}=\frac{BC}{DE}\\\frac{AB}{AB+BD}=\frac{BC}{DE}\\\frac{12}{12+6}=\frac{x}{32}\\\frac{12}{18}=\frac{x}{32}\\\frac{12}{18} \times 32 =x\\21.33=x

Question 2: Find the height of tree

ΔDEF ≈ΔDHI

Property of similar triangles :Corresponding sides of similar triangles are all in the same proportion

So,\frac{DE}{DH}=\frac{EF}{HI}\\\frac{3}{30}=\frac{2}{HI}\\HI=\frac{2 \times 30}{3}\\HI=20

Hence The height of tree is 30 m

4 0
3 years ago
The perimeter of a rectangle is 20 centimeters. Its length is 6 centimeters. What is its width?
sertanlavr [38]

Answer:

4 centimeters

Step-by-step explanation:

6+6=12

20-12=8

8/2=4

6 0
3 years ago
Distribute and combine like terms: 8(1 + 6 p)
Step2247 [10]

Answer:

8 + 48p

Step-by-step explanation:

6 0
3 years ago
Evaluate the numerical expression.0.52 × (20 - 22 × 3) × (2 × 25
VMariaS [17]

Answer:

300

Step-by-step explanation:

-6x50

5 0
3 years ago
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