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Gelneren [198K]

1 year ago

8

Antonio and Candice had a race. Their distances past a particular landmark as the race progressed can be represented by linear f

unctions and are shown in the table of values and graph below. Which statement is true regarding Antonio and Candice’s race?

1 answer:

Luda [366]1 year ago

4 0

I got the answer Antonio had a head start of 3 meters.

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Thomas graphed the line that represents the equation y=34x.

zloy xaker [14]

Answer:

The ordered pairs represent points on the line are

(4, 3) ⇒ C

(2, $\frac{3}{2}$ ) ⇒ D

(-8, -6) ⇒ E

Step-by-step explanation:

To find the ordered pairs represent points on the line, substitute x by the x-coordinate of each point, if the value of y equals the y-coordinate of the point, then the point is on the line.

∵ The equation is y = $\frac{3}{4}$ x

∵ The ordered pair is (8, $\frac{1}{6}$ )

→ Substitute x by 8

∴ y = $\frac{3}{4}$ (8)

∴ y = 6

∵ The value of y does not equal the y-coordinate of the ordered pair

∴ The ordered pair (8, $\frac{1}{6}$ ) does not represent a point on the line

∵ The ordered pair is ( $\frac{-2}{3}$ , $\frac{1}{2}$ )

→ Substitute x by $\frac{-2}{3}$

∴ y = $\frac{3}{4}$ ( $\frac{-2}{3}$ )

∴ y = $\frac{-1}{2}$

∵ The value of y does not equal the y-coordinate of the ordered pair

∴ The ordered pair ( $\frac{-2}{3}$ , $\frac{1}{2}$ ) does not represent a point on the line

∵ The ordered pair is (4, 3 )

→ Substitute x by 4

∴ y = $\frac{3}{4}$ (4)

∴ y = 3

∵ The value of y equal the y-coordinate of the ordered pair

∴ The ordered pair (4, 3) represents a point on the line

∵ The ordered pair is (2, $\frac{3}{2}$ )

→ Substitute x by 2

∴ y = $\frac{3}{4}$ (2)

∴ y = $\frac{3}{2}$

∵ The value of y equal the y-coordinate of the ordered pair

∴ The ordered pair (2, $\frac{3}{2}$ ) represents a point on the line

∵ The ordered pair is (-8, -6 )

→ Substitute x by -8

∴ y = $\frac{3}{4}$ (-8)

∴ y = -6

∵ The value of y equal the y-coordinate of the ordered pair

∴ The ordered pair (-8, -6) represents a point on the line

5 0

1 year ago

D2-9k+3 for d=10 and k=9

AVprozaik [17]

Answer:

22

Step-by-step explanation:

10^2-9(9)+3

100-81+3

19+3

22

8 0

2 years ago

James and Dan are partners in a small company. From each year’s profit, James is paid a bonus of $15000 and the remainder is sha

jarptica [38.1K]

Answer:

total20000

bonus15000

remaining 20000-15000=5000

ratio 2+3=5x

Dan part =3x

Dan value=( 5000/5)*3=3000

Step-by-step explanation:

6 0

1 year ago

A computer randomly selects a letter from the alphabet.

Nikolay [14]

1) 26 different outcomes are in the sample space.

2) 1 / 26 is the probability that the computer produces the first letter of your first name.

<u>Step-by-step explanation:</u>

<u>1) You have to find out the different outcomes in the sample space :</u>

A "Sample space" is defined as the set of all the possible outcomes of an event.
Here, the given event is randomly selecting a letter from the alphabets.

Therefore, the sample space must contain all the possible alphabets that can be chosen randomly.

The sample space is the set of all the 26 alphabets in English language.

⇒ Sample space = {A,B,C,D...........,Y,Z}

⇒ 26 different outcomes.

<u>2) The probability the computer produces the first letter of your first name :</u>

Here, the required outcome is getting the first letter of your first name.

Probability = No. of required outcomes / total no. of outcomes.

For example, The name Alex Davis has the first letter of the fist name as alphabet 'A'.

∴ Probability = 1 / 26

Similarly, for any first name there is going to be any one alphabet from the 26 alphabets, thus the probability to get the first letter will be always 1 / 26.

7 0

2 years ago

When full, one of the pools at Sapphire Island will hold 43,000 gallons. The pool currently holds 20,000 gallons of water and is

SpyIntel [72]

Answer: Explanation and answer is attached.

Step-by-step explanation:

5 0

2 years ago