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CaHeK987 [17]
3 years ago
11

Write an equation in point-slope form, if m= 3 and passes through (4, 5).

Mathematics
1 answer:
Sergio039 [100]3 years ago
5 0

Answer:

y - 5 = 3(x - 4)

General Formulas and Concepts:

<u>Algebra I</u>

Point-Slope Form: y - y₁ = m(x - x₁)  

  • x₁ - x coordinate
  • y₁ - y coordinate
  • m - slope

Step-by-step explanation:

<u>Step 1: Define</u>

Slope <em>m</em> = 3

Point (4, 5)

<u>Step 2: Write equation</u>

Point-Slope Form:   y - 5 = 3(x - 4)

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Answer:

-2

Step-by-step explanation:

f(1)=3(1)-5 = 3-5= -2

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ANSWER QUICK <br> 13+5 3/4
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18.75 or 18 3/4

Step-by-step explanation:

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If h(x) = 4x – 3 and p(x) = x2 – 3x, find p(-3)<br><br> 18<br> 0<br> -3
navik [9.2K]

Answer: p(-3)=18

Step-by-step explanation:

To find p(-3), you plug -3 into p(x) and solve.

p(-3)=(-3)²-3(-3)               [exponent]

p(-3)=9-3(-3)                    [multiply]

p(-3)=9+9                         [add]

p(-3)=18

Now we found that p(-3)=18.

7 0
2 years ago
In problems 1-3, a and b are legs and c is the hypotenuse. Find the missing side length of the
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Answer:

1. b=39.497

2. c=3.606

3. a=18.974

Step-by-step explanation:

1.

41^2-11^2=b^2

1681-121=b^2

b^=1560

b=39.497

2.

2^2+3^2=c^2

4+9=c^2

c^2=13

c=3.606

3.

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2 years ago
The Census Bureau's Current Population Survey shows that 28% of individuals, ages 25 and older, have completed four years of col
gizmo_the_mogwai [7]

Answer:

19.35% probability that five will have completed four years of college

Step-by-step explanation:

For each individual chosen, there are only two possible outcomes. Either they have completed fourr years of college, or they have not. The probability of an adult completing four years of college is independent of any other adult. So the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

28% of individuals

This means that p = 0.25

For a sample of 15 individuals, ages 25 and older, what is the probability that five will have completed four years of college?

This is P(X = 5) when n = 15. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 5) = C_{15,5}.(0.28)^{5}.(0.72)^{10} = 0.1935

19.35% probability that five will have completed four years of college

5 0
3 years ago
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