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____ [38]
3 years ago
9

Write the slope-intercept equation of the line that passes through the point

Mathematics
1 answer:
larisa86 [58]3 years ago
6 0

Answer:

see below

Step-by-step explanation:

The slope of the given line is 1/2 so the slope of our line will be -2. We can use point-slope formula.

y + 1 = -2(x + 3)

y = -2x - 6 - 1

y = -2x - 7

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Factorise each of the following algebraic expressions completely,
LekaFEV [45]

Answer:

see explanation

Step-by-step explanation:

(a)

Given

2k - 6k² + 4k³ ← factor out 2k from each term

= 2k(1 - 3k + 2k²)

To factor the quadratic

Consider the factors of the product of the constant term ( 1) and the coefficient of the k² term (+ 2) which sum to give the coefficient of the k- term (- 3)

The factors are - 1 and - 2

Use these factors to split the k- term

1 - k - 2k + 2k² ( factor the first/second and third/fourth terms )

1(1 - k) - 2k(1 - k) ← factor out (1 - k) from each term

= (1 - k)(1 - 2k)

1 - 3k + 2k² = (1 - k)(1 - 2k) and

2k - 6k² + 4k³ = 2k(1 - k)(1 - 2k)

(b)

Given

2ax - 4ay + 3bx - 6by ( factor the first/second and third/fourth terms )

= 2a(x - 2y) + 3b(x - 2y) ← factor out (x - 2y) from each term

= (x - 2y)(2a + 3b)

8 0
3 years ago
A band sells tickets to a concert cost either $15 for adults or $10 for students. A total of 150 tickets are sold. If the band m
kodGreya [7K]

Answer:

Number of adult tickets sold= 100

Step-by-step explanation:

Giving the following information:

Adults tickets= $15

Student tickets= $10

Number of tickets sold= 150

Total sales= $2,000

<u>First, we determine the systems of equations:</u>

15*x + 10*y= 2,000

x + y = 150

x= number of adults tickets sold

y= number of students tickets sold

<u>Now, we isolate x in one equation, and substitute it in the other one:</u>

x= 150 - y

15*(150 - y) + 10y = 2,000

2,250 - 15y + 10y = 2,000

250 = 5y

50= y

x= 150 - 50

x= 100

<u>Prove: </u>

15*100 + 10*50= 2,000

100 + 50 = 150

3 0
3 years ago
Read 2 more answers
The manager of a factory wants to compare the mean number of units assembled per employee in a week for two new assembly techniq
antoniya [11.8K]

Answer:

The most appropriate inferential statistic test in the present situation is the;

b. Two-sample t-test

Step-by-step explanation:

From the question, we have;

The number of subjects in each sample, n₁ = 100

The number of samples = 2

The nature of the test = To compare the two means

The value of the population standard deviation, σ = Unknown

From the given parameters, we have;

The t-test is a method of inferential statistics for determining whether the difference between the mean of two groups is significant, that is if the observed difference are due to chance, where the groups are likely to have some characteristics that are related

The t-test is utilized when testing an hypothesis, and it is used for small samples, where the population standard deviation is unknown

The types of t-test used are;

a) One-sample t-test

b) Two-sample t-test

c) Paired Sample t-test

Therefore, a two-sample t-test is most appropriate.

3 0
2 years ago
How do you reduce 15/16
alina1380 [7]

Answer:

you can't because they don't have common factors

Step-by-step explanation:

8 0
3 years ago
What is -1 1/3 x - 3/8
pychu [463]

Answer:

88

Step-by-step explanation:

Simplify the expression -88/

3(8x-1)

3 0
3 years ago
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