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4 years ago

The table represents a function.

Mathematics

2 answers:

zavuch27 [327]4 years ago

7 0

Answer:

The correct option is 3. The rate of change in the function $y=x-6$ is less than the rate of change of the function represented in the table.

Step-by-step explanation:

The given table represents a function.

Choose any two points from the table. The two points are (0,-5) and (2,1).

Slope of a line is

$m=\frac{y_2-y_1}{x_2-x_1}$

Slope of the function that is represented by the table, is

$m=\frac{1-(-5)}{2-0}=\frac{6}{2}=3$

Therefore the rate of change of function is 3.

The given function is

$y=x-6$

It is a slope intercept form of a line.

$y=mx+b$

Where m is the slope and b is y-intercept.

Therefore the slope of the given function is 1.

Since 1<3, therefore rate of change in the function $y=x-6$ is less than the rate of change of the function represented in the table. Option 3 is correct.

EastWind [94]4 years ago

6 0

Answer:

The correct option is 3. The rate of change in the function y=x-6 is less than the rate of change of the function represented in the table.

Step-by-step explanation:

The given table represents a function.

Choose any two points from the table. The two points are (0,-5) and (2,1).

Slope of a line is

m=\frac{y_2-y_1}{x_2-x_1}

Slope of the function that is represented by the table, is

m=\frac{1-(-5)}{2-0}=\frac{6}{2}=3

Therefore the rate of change of function is 3.

The given function is

y=x-6

It is a slope intercept form of a line.

y=mx+b

Where m is the slope and b is y-intercept.

Therefore the slope of the given function is 1.

Since 1<3, therefore rate of change in the function y=x-6 is less than the rate of change of the function represented in the table. Option 3 is correct.

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50 POINTS SHOW YOUR WORK

aliya0001 [1]

Answer:

The % growth rate is 15.8%.

Step-by-step explanation:

Let the function is given by $f(w) = a(b)^{w}$ , where f(w) is the number of a specific product produced after w weeks.

Now, given for w = 0, f(0) = 190 = a

So, the function becomes $f(w) = 190(b)^{w}$ ............. (1)

Now, it is also give that at w = 1, f(1) = 220.

So, from equation (1) we get,

$220 = 190 (b)^{1} = 190b$

⇒ b = 1.15789.

Now, b = 1 + r

⇒ 1.15789 = 1 + r

⇒ r = 0.15789

Therefore, the % growth rate is 0.15789 × 100% = 15.8% (Approx.)

8 0

3 years ago

Which value must be added to the expression x2 + 12x to make it a perfect-square trinomial?

denis23 [38]

36 is must be added to the expression x² + 12x to make it

perfect-square trinomial

Step-by-step explanation:

The perfect-square trinomial x² + 2ax + a² = (x + a)², then

1. The first term in the trinomial is square the 1st term in the bracket

2. The middle term in the trinomial is the product of 1st , 2nd

terms of the bracket and 2

3. The 3rd term in the trinomial is square the 2nd term in the bracket

∵ The expression is x² + 12x

∵ We must add the 3rd term which make it perfect-square trinomial

- Divide 12x by 2 to find the product of the 1st term and 2nd term

in the bracket

∵ 12x ÷ 2 = 6x

∴ The 1st term is x and the 2nd term is 6 of the bracket

∵ The 3rd term in the trinomial is square the 2nd term in the bracket

∴ The 3rd term in the trinomial is 6² = 36

∴ x² + 12x + 36 = (x + 6)²

36 is must be added to the expression x² + 12x to make it

perfect-square trinomial

Learn more:

You can learn more about perfect-square trinomial in brainly.com/question/7932185

#LearnwithBrainly

4 0

3 years ago

1. Jan spends part of her year as a member of a

antiseptic1488 [7]

Answer:

13 months in a half......

3 0

3 years ago

Esteban has a big jar of change in his room. He has 600 coins total, and 240

elixir [45]

You can set up a proportion to solve for the percentage of the coins that are pennies. Of course, there are alternate methods as well, but this is one method. First, you define the percentage of the coins that are pennies to be equal to a variable, such as x. Next, you write 240/600 = x/100, due to how "x" is the amount out of 100 (since per cent is for every cent (out of 100)), and 240 would correspond to x while 600 would correspond to 100. This proportion may also be written as 100/x = 600/240, or 240/x = 600/100. In order to solve for x, you use cross-products, or you multiply each denominator by the numerator of the other fraction. You will be left with a numerical value that's equal to a number times x, and then you divide both sides of the equation by the coefficient of x in order to isolate x. As a result, you will have the percentage of the coins that are pennies to be your answer. Remember to write the units for every numerator and denominator in your proportion.

8 0

3 years ago

Read 2 more answers

Witch equation dose the graph below represent

fenix001 [56]

When the function goes 1 to the right, it goes 2 down. Therefore the direction of the function is
$\frac{-2}{ 1} = - \frac{2}{1}$
Hence, the function represented is
y = -2x

8 0

3 years ago