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Rudiy27
3 years ago
10

Which linear function represents the line given by the point-slope equation y + 1 = –3(x – 5)?

Mathematics
1 answer:
iren2701 [21]3 years ago
7 0

Answer: f(x) = –3x + 14

Step-by-step explanation:

The point slope form of an equation is expressed as

y - y1 = m(x - x1)

The given equation is

y + 1 = –3(x – 5)

Comparing with the point slope equation,

y1 = - 1

Slope, m = - 3

x1 = 5

The equation of a straight line can also take the slope intercept form,

y = mx + c

Where

m is the slope(change in y /change in x)

c represents the intercept.

We would determine the intercept by substituting x = 5 , y = -1 , m = - 3, into y = mx + c. It becomes

- 1 = - 3 × 5 + c

- 1 = -15 + c

c = - 1 + 15 = 14

The equation becomes

y = -3x + 14

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boyakko [2]

Answer:

r = 2\sqrt{5}

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Is this a live test question or a homework question?

Step-by-step explanation:

the radius is the distance between (3, 2) and (5, -2)

r^{2} = {(3 - 5)^{2} + (2 + 2)^{2}  }

    =  (-2)^{2} + 4^{2}

    =  4 + 16 = 20

r = \sqrt{20 } = 2\sqrt{5}

Equation of circle:   (x - 3)^{2} + ( y - 2)^{2} = 20

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2 years ago
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Nadusha1986 [10]
Step 1: Make equation equal to Zero

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3x^2 - 4x - 2 


Step 2: use equation

a= 3 b = -4 c= -2 

after plugging in answer should be

(2 + or - sqrt 10) / 3 


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3 years ago
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Elena and Jada are 12 miles apart on a path when they start moving towards each other. Elena answered a constant speed of 5 mile
djverab [1.8K]

Answer:

i think it is 234 i am not sure

Step-by-step explanation:

3 0
3 years ago
Please help. Write the equation of the graph. (Do not use spaces. Use ^ to represent exponents. Example 2^3 is 23.)
lana66690 [7]
This graph has a horizontal asymptote so it is an exponential graph. It also passes through two points (0,-2) and (1,3). The horizontal asymptote is at y=-3.
The unchanged exponential equation is y=a(b)^x +k
For exponential equations, k is always equal to the horizontal asymptote, so k=-3.
You can check this with the ordered pair (0,-2). After that plug in the other ordered pair, (1,3).
This gives you 3=a(b)^1 or 3=ab. If you know the base the answer is simple as you just solve for a.
If you don't know the base at this point you have to sort of guess. For example, let's say both a and b are whole numbers. In that case b would have to be 3, as it can't be 1 since then the answer never changes, and a is 1. Then choose an x-value and not exact corresponding y-value. In this case x=-1 and y= a bit less than -2.75. Plug in the values to your "final" equation of y=(3)^x -3.
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7 0
3 years ago
In Happyville, the ideal family has four children, at least two of which are girls. If you randomly select a Happyville family t
sleet_krkn [62]

Answer:

0.3125 = 31.25% probability that it is not ideal.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either it is a girl, or they are not. The probability of a child being a girl is independent of any other child. This means that 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.

0.5 probability of a children being a girl:

This means that p = 0.5

If you randomly select a Happyville family that has four children, what is the probability that it is not ideal?

Not ideal is less than two girls, so this is P(X < 2).

Four children means that n = 4. So

P(X < 2) = P(X = 0) + P(X = 1)

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

P(X = 0) = C_{4,0}.(0.5)^{0}.(0.5)^{4} = 0.0625

P(X = 1) = C_{4,1}.(0.5)^{1}.(0.5)^{3} = 0.25

P(X < 2) = P(X = 0) + P(X = 1) = 0.0625 + 0.25 = 0.3125

0.3125 = 31.25% probability that it is not ideal.

7 0
2 years ago
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