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4 years ago

The table below shows selected points from a function.

Mathematics

1 answer:

stiv31 [10]4 years ago

4 0

Answer:

The rate of change for the interval shown in the table is 1 , so the function is a linear function.

Step-by-step explanation:

See the table attached.

The table shows selected points from a function.

Now, the given interval is x = 1 to x = 4.

For, x = 1, f(x) = 2 and for x = 4. the function f(x) = 5.

Therefore, the rate of change for the interval shown in the table i.e slope of the line is $\frac{5 - 2}{4 - 1} = 1$ and it is constant throughout the interval so the function is a linear function. (Answer)

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nikitadnepr [17]

Divide the total amount she has by how much she needs per batch.

When dividing fractions, flip the second one over and then multiply straight across.

9/10 / 1/4 becomes: 9/10 x 4/1

9/10 x 4/1 = 36/10 = 3 6/10 = 3 3/5

She can make 3 more batches and have 3/5 of a teaspoon left over.

4 0

3 years ago

Can u help me?<br> What is the measure of

timama [110]

The answer is 135 degrees

3 0

3 years ago

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Erica has 8 squares of felt, each with area 16. For a certain craft project she cuts the largest circle possible from each squar

dezoksy [38]

Answer:

Concept: Area Analysis

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They have an area of 16 each.
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Hence 4(4-pi)

6 0

3 years ago

Two rival companies began the same year. The equations below model the number of employees, y, at these companies x years after

aivan3 [116]

Answer:

Both the claims by the companies are not possible.

Step-by-step explanation:

Equations modeling number of employees 'y' after 'x' years of the start are,

For company R: y = 3x +24

For company T: y = 4x + 10

If Company R states that this year they have 42 employees,

42 = 3x + 24

3x = 42 - 24

x = $\frac{18}{3}$

x = 6 years

So company has completed 6 years this year.

Now we put x = 6 years in the equation for company T.

y = (4×6) + 10

y = 24 + 10

y = 34

Which doesn't match with the number of employees of the company R.

Therefore, claim of company R is not possible.

Company T stated that after 15 years they will have the same number of employees as company R.

For company T : y = 4(15) + 10

y = 70 employees

For company R : y = 3(15) + 10

y = 45 + 10

y = 55 employees

Therefore, claim of the company T is also not possible.

8 0

3 years ago

Lines y and z are parallel.

Mrac [35]

Answer:

28 degrees

Step-by-step explanation:

step 1

Find the measure of angle 1

$m\angle 1+65^o=180^o$ ----> by supplementary angles

$m\angle 1=180^o-65^o=115^o$

step 2

Find the value of x

$(10x+5)^o=m\angle 1$ ----> by corresponding angles

substitute

$(10x+5)^o=115^o$

$10x=110\\x=11$

step 3

Find the measure of angle 2

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

$m\angle 1+m\angle 2+(4x-7)^o=180^o$

substitute

$115^o+m\angle 2+(4(11)-7)^o=180^o$

$m\angle 2=180^o-152^o=28^o$

3 0

3 years ago

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