Which is an equation of the line containing the points (4, 10) and (6, 11) in standard form?–x + 2y = 16



2x – y = –2



x + 2y = 24



x – 2y = –16

Answers

Answer 1
Answer: Hello,

Answer A
y-10=(11-10)/(6-4) * (x-4)
==>2y=x+16
==>-x+2y=16


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The amount of water in a bottle is reduced by 85% to 120 ml. How much water was originally in the bottle?
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What is the volume of the trapezoidal right prism 20 m 2 m 8 ma. 98 m3
b.196 m3
c. 70 m3
d.392 m3

Answers

I think it's d.392 cm3

which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x) − 11? (5 points) the graph of y = f(x) will shift up 11 units. the graph of y = f(x) will shift right 11 units. the graph of y = f(x) will shift left 11 units. the graph of y = f(x) will shift down 11 units.

Answers

the graph of y = f(x) will shift down 11 units.

Answer:

Step-by-step explanation:

Alright, lets get started.

When we add or subtract any thing from the function f(x), that is called vertical shift.

The vertical shift means graph will move up or down.

When something is added, the graph of f(x) goes up means vertical shift up.

When something is subtracted, the graph of f(x) goes down, means vertical shift down.

So, when 11 is subtracted from f(x), it means, the graph of f(x) will shift 11 units down.   :  Answer

Hope it will help :)

A city is concerned that cars are not obeying school zones by speeding through them, putting children at greaterrisk of injury. The speed limit in school zones is 15 miles per hour. Throughout the course of one day, a police officer
hides his car on a side street that intersects the middle of the school zone and records the speed of each car that
passes through. The 36 cars that he recorded had an average speed of 16.33 mph with a sample standard deviation
of 2.54 mph.
Calculate the appropriate test statistic (Give as a decimal rounded to the nearest thousandth).

Answers

Answer: test statistic = 0.002

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 15

For the alternative hypothesis,

µ > 15

The inequality sign means that it is right tailed.

Since the population standard deviation is not given, the distribution is a student's t.

Since n = 36,

Degrees of freedom, df = n - 1 = 36 - 1 = 35

t = (x - µ)/(s/√n)

Where

x = sample mean = 16.33

µ = population mean = 15

s = samples standard deviation = 2.54

t = (16.33 - 15)/(2.54/√36) = 3.14

We would determine the p value using the t test calculator. It becomes

p = 0.002

its cost 50 to make a bracelet and 1$ to make a necklace to make a profit the total cost for bracelets and necklaces must be less than 10$ the jeweler can make no more than 14 pieces of jewelry each day write a system of inequalities to model the number of bracelets and necklaces to be made each day

Answers

b + n ≤ 14 and .50b + 1n < 10 This is because the total number of bracelets added to the total number of necklaces made each day must be less than or equal to 14. Also, the price of each bracelet (.50b) added to the price of each necklace (1n) must be less than $10.

The radius of the Earth is approximately 3,960 miles. Find the approximate surface-area-to-volume ratio of the Earth.

Answers


The surface area of a sphere is          A = 4π R²

The volume of a sphere is                  V = (4/3) ( π) (R³)

The ratio of  (surface area) to (volume) is

                                                  4 π R² / (4/3) (π) (R³)

Divide top and bottom by 4π :      R² / (1/3)     (R³)

Multiply top and bottom by 3:      3 R² / R³

Divide top and bottom by  R² :       3 / R .

For the Earth,

             A / V  =  (3) / (3,960 miles)  =  0.00076 per mile (rounded)

Answer:

B. 0.00076

Step-by-step explanation:

Unit test on e2020

ListenWhich statement has x = 2 as its solution?
3x - 12 = 17
7(x + 1) = 14
1- 6x = -11
4x + 5 = 3

Answers

Answer: 1 - 6x = -11

Step-by-step explanation:

For each expression, substitute x for 2 to determine which is the correct expression:

3x - 12 = 17
3(2) - 12 = 17
6 - 12 = 17
-6 \neq 17
Because the number on the left side of the equation doesn't equal the number on the right, this first equation is incorrect.

7(x + 1) = 14
7(2 + 1) = 14
7(3) = 14
21 \neq14
This second equation is incorrect as well.

1 - 6x = -11
1 - 6(2) = -11
1 - 12 = -11
-11 = -11
Because the number on the left equals the number on the right, the third equation is correct.

I hope this helps! :)