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3 years ago

Find the equation for the line passing through the points (3,-9) and (4,-10)

Mathematics

2 answers:

dem82 [27]3 years ago

8 0

Answer:

slope = y2 - y1 /x2 - x1

slope = -10+9/4-3

slope = -1/1

slope = -1

y = -x + b

-10 = -4 + b

+4 +4

-6 = b

y = -x - 6

Olenka [21]3 years ago

5 0

Answer: y = - x - 6

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m = change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The line passes through (3,-9) and (4,- 10)

y2 = - 10

y1 = - 9

x2 = 4

x1 = 3

Slope,m = (- 10 - - 9)/(4 - 3) = - 1/1 = - 1

To determine the intercept, we would substitute x = 4, y = - 10 and m = - 1 into y = mx + c. It becomes

- 10 = - 1 × 4 + c

- 10 = - 4 + c

c = - 10 + 4

c = - 6

The equation becomes

y = -x - 6

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it costs $20 per hour to bowl and $3 for shoe rental. Write a verbal model and an algebraic expression to represent the cost for

katen-ka-za [31]

3 + 20x, where x= the number of hours bowled. A verbal diagram is where you say amount to pay per hour * number of hours + price of shoe rental = total cost.

5 0

3 years ago

in the unted states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches. If 16

yaroslaw [1]

Answer:

Probability that their mean height is less than 68 inches is 0.0764.

Step-by-step explanation:

We are given that in the united states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches.

Also, 16 men are randomly selected.

Let $\bar X$ = sample mean height

The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean height = 69 inches

$\sigma$ = population standard deviation = 2.8 inches

n = sample of men = 16

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the mean height of 16 randomly selected men is less than 68 inches is given by = P( $\bar X$ < 68 inches)

P( $\bar X$ < 68 inches) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{68-69}{\frac{2.8}{\sqrt{16} } }$ ) = P(Z < -1.43) = 1 - P(Z $\leq$ 1.43)

= 1 - 0.9236 = 0.0764

Now, in the z table the P(Z x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.43 in the z table which has an area of 0.92364.

Therefore, probability that their mean height is less than 68 inches is 0.0764.

3 0

3 years ago

Please give me the ansewer to this question 3/4^3

galben [10]

♡ The Question ♡

-Answer --> 3/4^3

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Answer ♡

Fraction --> 27/64

Decimal --> 0.421875

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Explanation/Step-By-Step ♡

(3/4)^3

Apply Exponent Rule! --> (a/b)^c = a^c/b^c

(3/4)^3 = 3^3/4^3

3^3 = 27

= 27/4^3

4^3 = 64

= 27/64

27/64 = 0.421875

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ Tips ♡

-No tips provided!

3 0

3 years ago

Read 2 more answers

For f(x) = 3x +1 and g(x) = x - 6, find (f- g)(x).

Finger [1]

Answer:

c. -x + 3x + 7 = 2x+7

Step-by-step explanation:

f(x) = 3x +1 and g(x) = x - 6

f-g = 3x +1 - ( x - 6)

Distribute the minus sign

= 3x+1 - x+6

= 2x +7

4 0

3 years ago

What is 2 - 3y is less than or equal to 12? That was the question.

Ivenika [448]

Answer:

$2-3y\leq 12\\-2+2-3y\leq 12-2\\-3y\leq 10\\\frac{-3}{3}y\leq \frac{10}{3} \\y\geq \frac{10}{3}$

Step-by-step explanation:

8 0

3 years ago