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3 years ago

Find the equation of the linear function represented by the table below in slope-intercept form.

Mathematics

1 answer:

Degger [83]3 years ago

4 0

Answer:

$y=10x-6$

Step-by-step explanation:

step 1

Find the slope

we have

(0,-6) and (1,4)

The slope is equal to

$m=(4+6)/(1-0)=10$

step 2

Find the equation of the line in slope intercept form

The equation of the line in slope intercept form is

$y=mx+b$

we have

$m=10$

$b=-6$ -----> y-intercept (given value in the table)

substitute

$y=10x-6$

You might be interested in

Rewrite in simplest radical form: x^4/5 / x^1/3 into a√x^b

mrs_skeptik [129]

Answer:

$\sqrt[15]{x^7}$

Step-by-step explanation:

If we have the expression

$\frac{x^{\frac{4}{5}}}{x^{\frac{1}{3}}}$ , we have to think about exponent rules.

If we have $a^b \div a^c$ , then the value will be equal to $a^{b-c}$ .

So $\frac{x^{\frac{4}{5}}}{x^{\frac{1}{3}}}$ simplified will be $x^{\frac{4}{5} - \frac{1}{3}}$

Converting $\frac{4}{5}$ and $\frac{1}{3}$ into fifteenths (lcm) gets us $\frac{12}{15} - \frac{5}{15} = \frac{7}{15}$ .

We can convert $x^{\frac{7}{15}}$ into a radical by taking the denominator root of x to the numerator.

$\sqrt[15]{x^7}$ .

Hope this helped!

6 0

3 years ago

Malik fulton's savings account has a principal of $1,640 with an apr of 6% simple interest. how much is in his account at the en

ella [17]

I=prt
I=1640*0.06*6/12=49.2
A=1640+49.2=1,689.2

8 0

3 years ago

Make t the subject of this formula. r = 7 (t + 3)

kari74 [83]

Answer:

t= r-21

Step-by-step explanation:

r = 7(t+3)

expanding the bracket

r = 7t + 21

bringing t to the left hand side

7t = r - 21

divide both sides by seven

t= r-21

3 0

3 years ago

A researcher is interested in determining if the more than two thirds of students would support making the Tuesday before Thanks

klio [65]

Answer:

a. p = the population proportion of UF students who would support making the Tuesday before Thanksgiving break a holiday.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are in favor of making the Tuesday before Thanksgiving a holiday, or they are against. This means that we can solve this problem using concepts of the binomial probability distribution.

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 combinatios 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.

So, the binomial probability distribution has two parameters, n and p.

In this problem, we have that $n = 1000$ and $p = \frac{700}{1000} = 0.7$ . So the parameter is

a. p = the population proportion of UF students who would support making the Tuesday before Thanksgiving break a holiday.

8 0

3 years ago

Three quarters of the batch of twenty cookies burned when you forgot to take them out of the oven how many cookies burned

Natali5045456 [20]

15 cookies burned because if you Turn $\frac{3}{4}$ into a decimal then multiply it by 20 you get 15 and thats your answer.

7 0

2 years ago