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3 years ago

9. Tell whether the table is a linear equation and explain why

Mathematics

1 answer:

MaRussiya [10]3 years ago

7 0

The table is linear because the change because it had a constant slope when we solve for change in y / change in x for each of the data points given. That slope is -0.5 and it’s constant.

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Does this graph show a function? Explain how you know.

GREYUIT [131]

Answer:

the answer is C. No, it fails the vertical line test.

3 0

3 years ago

Shahruk plays four games of golf. His four scores have a mean of 75, a mode of 78 and a median of 77. Work out his four scores.

Naily [24]

Answer:

the four scores are 68, 76, 78, and 78.

Step-by-step explanation:

The mean of the four scores is 75.

So, the sum of all the four scores is equal to the product of mean and number of scores. Therefore,

Sum of scores , 'S' = Mean Number of scores.

Now, let one of the middle scores be 'x'.

Since the number of scores is even, the median is half of the sum of the two middle terms.

Median is given as 77 and mode is 78.

So, median is given as:

As 76 is smaller than 78.

So, the 2nd score is 76 and third score is 78.

Since mode is 78, it has to be repeated more than once. So, the fourth score will also be 78.

Now, let the first score be 'y'. Therefore, the sum is given as:

Therefore, the four scores are 68, 76, 78, and 78.

8 0

2 years ago

Find all solutions to the equation. 2sin theta - squareroot 3 = 0

Xelga [282]

Answer:

$\theta$ =2mπ + π/3 for m ∈ Z.

Step-by-step explanation:

Given the equation $2sin\theta - \sqrt{3} = 0$ , we are to find all the values of $\theta$ that satisfies the equation.

$2sin\theta - \sqrt{3} = 0\\\\2sin\theta = \sqrt{3} \\\\sin\theta = \sqrt{3}/2 \\\\\theta = sin{-1} \sqrt{3}/2 \\\\\theta = 60^0$

General solution for sin $\theta$ is $\theta$ = nπ + (-1)ⁿ ∝, where n ∈ Z.

If n is an even number say 2m, then $\theta$ = (2m)π + ∝ where ∝ = 60° = π/3

Hence, the general solution to the equation will be $\theta$ = 2mπ + π/3 for m ∈ Z.

8 0

2 years ago

You deposit $300 in an account that account and $54 simple interest in for years what is the annual interest rate

kifflom [539]

Answer:

principal=$300

time=1 year

simple interest=$54

rate=?

Step-by-step explanation:

rate=(simple interest×100)/(principal×time)=(54×100)(300×1)=5400/300=54/3=18% is rate

5 0

2 years ago

Which inequivalnet is equivalent to |x-4|<9

nikklg [1K]

Answer:

something like this?

$\left \{ {{x-4$

the top one is valid when x-4 >0

the bottom one is valid when x-4<0

Step-by-step explanation:

absolute value |x-4|

means that in case x-4 is negative, we will use -(x-4)

if it's positive we use x-4

let's find the solution (where the original inequality is true)

negative case:

-(x-4)<9 -x+4 < 9 -x < 5 x>-5

positive case:

x-4 < 9 x < 13

to satisfy both conditions -5 < x < 13

5 0

2 years ago