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3 years ago

Passes through (3, 4) and (5, -4) how do I solve

Mathematics

1 answer:

nikitadnepr [17]3 years ago

8 0

Answer:

y = - 4x + 16

Step-by-step explanation:

Assuming you require the equation of the line passing through the points.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (3, 4) and (x₂, y₂ ) = (5, - 4)

m = $\frac{-4-4}{5-3}$ = $\frac{-8}{2}$ = - 4, thus

y = - 4x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 4), then

4 = - 12 + c ⇒ c = 4 + 12 = 16

y = - 4x + 16 ← equation of line

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Please help!! Question is in the picture!!

Debora [2.8K]

$\frac{17}{60}$ and $\frac{1}{4}$ are the experimental probabilities from the table.

Solution:

Total number of times spun the spinner = 60

Number of times getting 1 = 12

Number of times getting 2 = 17

Number of times getting 3 = 15

Number of times getting 4 = 16

Experimental probabilities from the table:

Probability of getting 1 = $\frac{12}{60}=\frac{1}{5}$

Probability of getting 2 = $\frac{17}{60}$

Probability of getting 3 = $\frac{15}{60}=\frac{1}{4}$

Probability of getting 4 = $\frac{16}{60}=\frac{4}{15}$

To determine which are the experimental probabilities from the table:

Option A: 15

This is not obtained above. So, it is not the experimental probability.

Option B: $\frac{17}{60}$

This is obtained in the probability of getting 2.

So, it is the experimental probability.

Option C: $\frac{1}{4}$

This is obtained in the probability of getting 3.

So, it is the experimental probability.

Option D: $\frac{7}{15}$

This is not obtained above. So, it is not the experimental probability.

Option E: $\frac{12}{43}$

This is not obtained above. So, it is not the experimental probability.

Hence $\frac{17}{60}$ and $\frac{1}{4}$ are the experimental probabilities from the table.

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3 years ago

Please answer this question

galben [10]

Answer:

Step-by-step explanation:

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3 years ago

-5 < x - 4 greater than it equal 1

saul85 [17]

We have expression $-5 < x - 4 \geq 1$ that renders the system of inequalities,

$\begin{cases}-5 < x - 4 \\x - 4 \geq 1\end{cases}$

Which can be simplified to,

$\begin{cases}x > -1 \\x \geq 5\end{cases}$

So what we get is something greater than -1 and at the same time greater or equal to 5, so the solution is,

$x\in(\infty,-1)\cap(\infty, 5]=\boxed{(\infty,5]}$ .

Hope this helps.

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3 years ago

A company that makes hair-care products had 3,000 people try a new shampoo of the 3,000 21 had a mild allergic reaction. What pe

Ksenya-84 [330]

Answer:

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Step-step explanation:

21÷3000=.007

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3 years ago

Solve the system of equations. y = x2 + 7x - 5 y = 2x + 9

marissa [1.9K]

Answer:

(2, 13)

(-7, -5)

Step-by-step explanation:

Easiest and fastest way to do this is to graph the systems of equations and analyze the graph where the 2 graphs intersects.

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3 years ago

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Passes through (3, 4) and (5, -4) how do I solve​

Passes through (3, 4) and (5, -4) how do I solve