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klemol [59]
3 years ago
10

Can someone solve this

Mathematics
1 answer:
Gemiola [76]3 years ago
8 0

Answer:

f(h(-1)) = -1

Step-by-step explanation:

f(x) = (x-4)/3

h(x) = 3x + 4

f(h(-1)) = ?

So first off we need to solve for h(-1):

h(x) = 3x + 4

h(-1) = 3(-1) + 4

h(-1) = 1

Next, we plug this value into the f(x) equation:

f(x) = (x-4)/3

f(1) = (1-4)/3

f(1) = -1

f(h(-1)) may look confusing but it is just f(x) with x being the resulting value for h(-1)

Thus we can say that f(h(-1)) is equal to -1

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A six-sided dice is rolled twice. Find the probability that the larger of the two rolls was equal to 5.
Diano4ka-milaya [45]

The probability that the larger of the two rolls was equal to 5 is; 2/9

<h3>Probability of possible outcomes</h3>

The total number of possible outcomes when the dice is rolled twice is 36 outcomes.

Now, for the larger of the two rolls to equal 5, the total number of favourable  outcomes are 8 which are;

(1, 5), (2, 5), (3, 5), (4, 5), (5, 1), (5, 2), (5, 3), (5,4)

Thus, probability that the larger of the two rolls was equal to 5 is;

P(larger of 2 rolls equals 5) = 8/36 = 2/9

Read more about probability of possible outcomes at; brainly.com/question/19916581

8 0
2 years ago
Write an equation in slope intercept form for a line that passed through the two points below (-4,7), (8,1)
vichka [17]
Y= -1/2x + 5
Good luck!!!!
7 0
3 years ago
If street lights are placed at most 145
Paraphin [41]

Answer:

Step-by-step explanation:

d=4 miles=4×1760 yards=7040 yards=7040×3 ft

number of lights=21120 ft

number of lights=21120/145 +1≈145.7+1=146+1=147 lights

7 0
3 years ago
Solve for m: -13 =5(1+4m)-2m
erastovalidia [21]

Answer:


Step-by-step explanation:


-13 = 5(1+4m)-2m

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-13=5+18m

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6 0
3 years ago
Trying to find volume of a right circular cone.
viva [34]

Volume of the cone is 117.5 π ft³

<u>Step-by-step explanation:</u>

Lateral area of the cone = πrs

s is the slant height = 15 ft

From the above formula, we can find the radius as, 5 ft.

Volume of the cone = π r² h/3

s = √ (5²+ h²)

Squaring on both sides, we will get,

s² = 15² = (5² + h²)

 15² - 5² = h²

225 - 25 = 200 = h²

h = √200 = 14.1 ft

Volume = π × 5² × 14.1  / 3 = 117.5 π ft³

8 0
3 years ago
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