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2 years ago

What is the slope of the line?

Mathematics

2 answers:

love history [14]2 years ago

6 0

Answer:

y=2x the slope of the line is 2x

Step-by-step explanation:

here are two points to use, (0,-3) and (1,-1)

Now use the slope equation

(y2-y1)/(x2-x1)

Plug in the values

(-1+3)/(1-0)

2/1

saveliy_v [14]2 years ago

5 0

Answer:

Step-by-step explanation:

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What value of y makes y/4=1.3/2 a proportion

meriva

Answer:

y=2.6

Step-by-step explanation:

y/4=1.3/2

cross product

4*1.3=y*2

5.2=2y

y=5.2/2

y=2.6

7 0

2 years ago

What is the factorization of 729^15+1000?

igomit [66]

Answer:

The factorization of $729x^{15} +1000$ is $(9x^{5} +10)(81x^{10} -90x^{5} +100)$

Step-by-step explanation:

This is a case of factorization by sum and difference of cubes, this type of factorization applies only in binomials of the form $(a^{3} +b^{3} )$ or $(a^{3} -b^{3})$ . It is easy to recognize because the coefficients of the terms are perfect cube numbers (which means numbers that have exact cubic root, such as 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.) and the exponents of the letters a and b are multiples of three (such as 3, 6, 9, 12, 15, 18, etc.).

Let's solve the factorization of $729x^{15} +1000$ by using the sum and difference of cubes factorization.

1.) We calculate the cubic root of each term in the equation $729x^{15} +1000$ , and the exponent of the letter x is divided by 3.

$\sqrt[3]{729x^{15}} =9x^{5}$

$1000=10^{3}$ then $\sqrt[3]{10^{3}} =10$

So, we got that

$729x^{15} +1000=(9x^{5})^{3} + (10)^{3}$ which has the form of $(a^{3} +b^{3} )$ which means is a sum of cubes.

Sum of cubes

$(a^{3} +b^{3} )=(a+b)(a^{2} -ab+b^{2})$

with $a= 9x^{5}$ y $b=10$

2.) Solving the sum of cubes.

$(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)((9x^{5})^{2}-(9x^{5})(10)+10^{2} )$

$(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)(81x^{10}-90x^{5}+100)$

8 0

2 years ago

What is the difference between 9 thirty sevens and 8 thirty sevens

mojhsa [17]

From what I think of this question, i think of 9x37 and 8x37 OR 9/37 and 8/37. either way 8x37=296 9x37=333 9/37=0.2432 8/37=0.2162

6 0

3 years ago

Read 2 more answers

Ill Mark Brainliest If you answer Divide 1/2 and 1/8 and express the answer in simplest terms. If necessary, use / for the fract

Yuri [45]

Answer:

Step-by-step explanation:

3 0

2 years ago

The variance Var(x) for the binomial distribution is given by equation :

aliina [53]

Answer: d. np(1 - p).

Step-by-step explanation:

Let x be any binomial variable which represents the number of success such that $X\sim B(n, p)$ , where n is the sample size or the total number of trials and p is the probability of getting success in each trial .

Then, the mean E(x) and the variance Var(x) for the binomial distribution is given by equation :

$E(x)=\mu=np$

$Var (x)=\sigma^2=np(1-p)$

where n is the sample size or the total number of trials and p is the probability of getting success in each trial .

Therefore , the correct option is option d. np(1 - p) .

6 0

3 years ago

What is the slope of the line?​

What is the slope of the line?