MATHEMATICS HIGH SCHOOL

If the domain of the function F = {(x, y) | 2x + y = 7} is {1, 2, 3}, what is the range?

Answers

Answer 1

Answer:

Answer:

The range of the function is {1,3,5}.

Step-by-step explanation:

The function is defined as

$F=\{(x,y)|2x+y=7\}$

The set of all possible inputs is called domain and the set of output is called range.

In other words the possible values of x are elements of domain and the values of y are the elements of range.

Since the domain is {1,2,3} and the function is

$2x+y=7$

Put x=1

$2(1)+y=7$

$2+y=7$

$y=7-2$

$y=5$

Put x=2

$2(2)+y=7$

$4+y=7$

$y=7-4$

$y=3$

Put x=3

$2(3)+y=7$

$6+y=7$

$y=7-6$

$y=1$

Since the possible values of y are 5,3 and 1, therefore the range of the function is {1,3,5}

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Matthew is going to drive from Salt Lake City, Utah, to Las Vegas, Nevada. His car travels a consistentnumber of miles

per gallon of gasoline and he has some gasoline in his tank already. Matthew writes the

equation 25(x + 3) = 424, where x represents the number of gallons of gasoline he will need to purchase to

complete the trip.

Identify the meaning of each of the constants in Matthew's equation in the context of the problem, then solve

the equation to determine how many gallons of gasoline he must purchase.

Answers

Answer: 14 gallons of gasoline.

Step-by-step explanation:

given data:

25(x + 3) = 424

where x is the number of gallon of gasoline needed to purchase.

Solution.

25(x + 3) = 424

first we open the bracket

25x + 75 = 424

collect like terms

25x = 424 – 75

25x = 349

divide both sides by 25

25x/25 = 349/25

x = 13.96

x = 14

mathew needs to get 14 gallons of gasoline.

Liam highlighted the columns in the multiplication table below to find equivalent ratios. A multiplication table. In the row labeled 2, the numbers 2, 4, 6, 8, 10, 12, 14, 16, and 18 are highlighted. In the row labeled 6, the numbers 6, 12, 18, 24, 30, 36, 42, 48, and 54 are highlighted. The same number goes into each box to make the two ratios below equivalent. StartFraction 4 Over blank EndFraction, StartFraction blank Over 36 EndFraction Which number goes into both boxes?A-6
B-9
C-12
D-18

Answers

9514 1404 393

Answer:

C-12

Step-by-step explanation:

You want to find n such that ...

$(4)/(n)=(n)/(36)\n\n4\cdot36=n^2\qquad\text{multiply by $36n$}\n\n√(4\cdot36)=n\n\n2\cdot6=\boxed{n=12}$

Answer:

Step-by-step explanation:

Took the test on edg I got 100%.

Why are circles so important to constructions?

Answers

Its a way to find a range of length without using exact measuments (if your using a compass)
Also you need to know constructions for the weekly tests so your school can get more money

2. Another wooden plank is leaning against an outside wall of a building. The bottom of the plank is 9 ft from the wall. The length of the plank is 41 ft. Find each of the following values, and show all your work.(a) Find the value of x. Round to the nearest tenth of a degree.
(b) Find the height above the ground where the plank touches the wall. Round to the nearest foot.
Please someone help

Answers

(A) Find the value of x. Round to the nearest tenth of a degree
Given that the distance of the ground is 9ft.
Length of the plank is 41 ft

In order to get the angle formed between the ground and the foot of the plank,

cos (theta) = ground / plank
cos (theta) = 9 / 41
cos (theta) = 0.21951...
theta = cos^-1(0.21951...)
theta = 77.3 degrees

(b) Find the height above the ground where the plank touches the wall. Round to the nearest tenth of a foot.

Height = square root (plank^2 - ground^2)
Height = square root (41^2 - 8^2)
Height = square root (1600)
Height = 40

(A) 77.1 Degrees
(B) 40 feet

WILL MARK BRAINLIEST FOR CORRECT ANSWERLook at the image below
Read and Answer
Good luck

Answers

Answer:

Step-by-step explanation:

I think the answer is b.

HELP (KHAN ACADEMY)
solve for x

Answers

As we can see

x+32=90

x= 90-32

x= 52

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