Write the equation of the line that passes through the points 7, -4 and -1, 3 first and point-slope form and then in slope intercept form

Answers

Answer 1
Answer:

Answer:

The slope of the line is -7/8

When the point (7, -4) is used, the point-slope form of the line is y+4=(-7/8)(x-7)

The slope-intercept form is y=(-7/8)x+(17/8)

Step-by-step explanation:

Answer 2
Answer:

Answer:

point slope form:

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

slope intercept form:

y = -4/3x + 13/3

Step-by-step explanation:

So if the points are (7, -4) and (-1,3) then we can use those points to figure out the slope.

y2-y1/x2-x1 is the forumla for the slope

3-7/ -1 - (-4) --> -4/-1+4 --> -4/3

point slope form:

y - y1 = m(x-x1) ~ you can choose either of the two points to use, you should get the same answer

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

y - 3 = -4/3x+4/3

add 3 to both sides

y = -4/3x + 13/3 ~ slope intercept form


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Find the unit rate.3
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Answers

Answer:

22/40

Step-by-step explanation:

find the equivalent ratio of 4 and 10 and it is 40 so the then you multiply 4 times 10 and 10 times 4 then you multiply 1x10 and 10x4 so now your new problem will be

10/40+12/40 which is 22/40=1 8/15

Look at the cone above. If r = 4 cm and h = 4 cm, what is the volume of the cone? (Assume = 3.14) A. 64 cm3 B. 66.99 cm3 C. 64 cm2 D. 100.53 cm3

Answers

Answer:

66.99 cm³

Step-by-step explanation:

the volume = ⅓× 3.14 × 4²× 4 = 3.14 × 64/ 3

= 66.99cm³

I’m having a bit of trouble with this

Answers

Hey buddy please specify the trouble so that we can answer that
Thanks

The breakfast cafe uses 3 1/4 lb of coffee per day. How much coffee does it use ina 7 day week?​

Answers

Quantity of coffee used per day by breakfast cafe =

= 3 (1)/(4)  \: lb

Quantity of coffee it will use in a seven day week =

= 3 (1)/(4)  * 7

=  ((4 * 3) + 1)/(4)  * 7

=  (13)/(4)  *  (7)/(1)

=  (91)/(4)

= 22 (3)/(4)  \: lb

Therefore , a breakfast cafe will use =

22 (3)/(4)  \: lb \: of \: coffee \: in \: a \: seven \: day \: week \: .

Final answer:

By multiplying the daily coffee consumption of 3 1/4 lbs by 7, we find that the cafe uses 22 3/4 lbs of coffee in a week.

Explanation:

In a week, the cafe's coffee consumption is calculated by multiplying its daily usage of 3 1/4 lbs by 7 (the number of days in a week). This computation yields 22 3/4 lbs as the total weekly coffee consumption. This process involves multiplying the daily quantity by the number of days to obtain the weekly total. Therefore, the cafe utilizes 22 3/4 lbs of coffee throughout a 7-day week. This method of determining weekly coffee usage is crucial for managing inventory and ensuring that the cafe meets the demands of its customers efficiently. By understanding their weekly consumption, the cafe can effectively plan and stock their coffee supply.

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7X minus one equals 6X -1 fin th value of x

Answers

Given the x or y value of a 2-variable equation solution, find the value for the other variable in the solution. Practice solving one-variable equations like 20 - 7x

The Ericsson method is one of several methods claimed to increase the likelihood of a baby girl. In a clinical​ trial, results could be analyzed with a formal hypothesis test with the alternative hypothesis of pgreater than​0.5,which corresponds to the claim that the method increases the likelihood of having a​ girl, so that the proportion of girls is greater than 0.5. If you have an interest in establishing the success of the​ method, which of the following​ P-values would you​ prefer: 0.999,​ 0.5, 0.95,​ 0.05, 0.01,​ 0.001? Why?

Answers

Answer:

0.001

Step-by-step explanation:

Here, the aim is to support the null hypothesis, Ha. Where Ha: p > 0.5. Which means we are to reject null hypothesis H0. Where H0: p = 0.5.

The higher the pvalue, the higher the evidence of success. We know If the pvalue is less than level of significance, the null hypothesis H0 is rejected.

Hence the smallest possible value 0.001 is preferred as the pvalue because it corresponds to the sample evidence that most strongly supports the alternative hypothesis that the method is effective