All categories

4 years ago

Which equation represents a line that passes through 4 1/3 and has a slope of 3/4

Mathematics

2 answers:

Firdavs [7]4 years ago

3 0

Answer:

Step-by-step explanation:

equation of a line =

y-y1=m(x-x1)

where m is the gradient and X1 and y1 are the points on the line.

slope= gradient

y-1/3 = 3/4 (x-4)

OverLord2011 [107]4 years ago

3 0

Answer:

B. $y - \frac{1}{3} = \frac{3}{4}(x - 4)$

Step-by-step explanation:

The point-slope form of the equation of a line is

$y - y_1 = m(x - x_1)$

where m = slope, and $(x_1, y_1)$ is a point on the line.

In your case,

m = 3/4, $x_1 = 4$ , and $y_1 = \frac{1}{3}$

Substitute the values just above into the equation to get

$y - \frac{1}{3} = \frac{3}{4}(x - 4)$

The answer is B. $y - \frac{1}{3} = \frac{3}{4}(x - 4)$

You might be interested in

Last month, a dwarf lemon tree grew half as much as a semi dwarf lemon tree. A full size lemon tree grew three times as much as

Nadusha1986 [10]

Using a simple guess and check method, i started with the lowest common multiple of 3, and 27 (the total growth) and used 3. if you plug i the numbers, we will say a is the dwarf lemon tree, b is the semi-dwarf lemon tree, and c is the full lemon tree, you know 3times2 equals 6. if you triple 6 you get 18. so if A grew 3 inches , B had to have grown 6 inches, and C had to have grown 18 inches. add them all and you get 27. so the dwarf lemon tree grew 3 inches, semi dwarf grew 6 inches, the full size grew 18 inches.

3 0

3 years ago

You purchase a robot ($7.68) you hand the cashier a ten dollor bill. What will your change be?

nikitadnepr [17]

$10.00 - $7.68 equals $2.32

5 0

3 years ago

Please help a girl out!!!

I am Lyosha [343]

Answer:

I got 14 x -2

Step-by-step explanation:

to add all of the like terms you get:

2x + 7x + 5x = 14x

then add the other terms you get:

-6 + 4 = -2

when adding the two parts together you get:

14x -2

Am pretty sure this is right, sorry if its wrong

8 0

3 years ago

We are told that the price of basket of fries is drawn from a normal distribution with mean 6 and standard deviation of 2. You w

Masja [62]

Answer:

32.64% probability that you would have enough money to pay for all five baskets of fries

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n can be approximated to a normal distribution with mean

In this problem, we have that:

$\mu = 6, \sigma = 2, n = 5, s = \frac{2}{\sqrt{5}} = 0.8944$

You want to get 5 baskets of fries but you only have $28 in your pocket. What is the probability that you would have enough money to pay for all five baskets of fries?

28/5 = 5.6

So this is the pvalue of Z when X = 5.6.

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{5.6 - 6}{0.8944}$

$Z = -0.45$

$Z = -0.45$ has a pvalue of 0.3264

32.64% probability that you would have enough money to pay for all five baskets of fries

5 0

3 years ago

What is the product of <br><br> 2x+3 and 4x^2-5x+6 .

stira [4]

Answer:

Explanation:

We have:

(

)

(

−

)

Now let's distribute this piece by piece:

(

)

(

)

(

)

(

−

)

−

(

)

(

)

(

)

(

)

(

)

(

−

)

−

(

)

(

)

And now we add them all up (I'm going to group terms in the adding):

−

And now simplify:

−

18Step-by-step explanation:

3 0

2 years ago

Read 2 more answers