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3 years ago

5. Open-Ended: Write the equations of three lines whose graphs are parallel to y = 2x + 11.

Mathematics

1 answer:

dedylja [7]3 years ago

7 0

Answer:

Parallel lines have the same slope, so any line with a different y-intercept and same slope.

Step-by-step explanation:

y = 2x + 10

y= 2x + 9

y= 2x + 12

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The sum of three numbers is 123

Elan Coil [88]

Answer:

Step-by-step explanation:

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3 years ago

Which function has an inverse function?

daser333 [38]

Answer: Option B

Step-by-step explanation:

By definition, only those functions that are one to one have an inverse function.

A function is one by one if there are not two different input values, $x_1$ and $x_2$ , that have the same output value y

Note that the function $f(x)= \frac{|x+3|}{5}$ is not a one-to-one function

When x=2 $f(x)= \frac{|2+3|}{5}=1\ ,\ \ y=1$

When x=8 $f(x)= \frac{|-8+3|}{5}=1\ \ ,\ y=1$

Note that the function $f(x)= \frac{x^4}{7}+ 27$ is not a one-to-one function

When x=1 $f(x)= \frac{(1)^4}{7}+27\ ,\ \ y=\frac{190}{7}$

When x=-1 $f(x)= \frac{(-1)^4}{7}+27\ ,\ \ y=\frac{190}{7}$

Note that the function $f(x)= \frac{1}{x^2}$ is not a one-to-one function

When x=1 $f(x)= \frac{1}{(1)^2}\ ,\ \ y=1$

When x=-1 $f(x)= \frac{1}{(-1)^2}\ ,\ \ y=1$

Then the answer is the option B.

You can verify that The function $f (x) = x ^ 5-3$ is a one-to-one function and therefore its inverse is a function

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3 years ago

I need help what is 3-2y+(-8y)+7.8

Snowcat [4.5K]

Answer:

10.8-10y OR -10y+ 10.8

Step-by-step explanation:

sO: 3-2y-8y+7.8

3-10y+7.8

10.8-10y / -10y+10.8 Either one

6 0

3 years ago

Read 2 more answers

U.S. craft-beer breweries (breweries that make fewer than 6 million barrels annually and are less than 25% owned by big brewerie

yarga [219]

Answer:

(a) a = 43.25 , b = 41 and c = 1547

(b) The number of craft-beer breweries in 2016 = 4643

Step-by-step explanation:

Given that the number of small craft-beer breweries from 2008 to 2012 is modeled by using a quadratic function of the form f(t) = at² + bt + c where a, b, and c are constants and t is measured in years, with t = 0 corresponding to 2008.

(a) Now we have to find these constants given f(0) = 1547, f(2) = 1802, and f(4) = 2403.

So, f(0) = $a*(0)^{2} + b*(0) + c$ which implies that c = 1547.

f(2) = $a*(2)^{2} + b*(2) + c$ = 4a + 2b + c

4a + 2b + c = 1802 ----------- [Equation 1]

f(4) = $a*(4)^{2} + b*(4) + c$ = 16a + 4b + c

16a + 4b + c = 2403 ----------- [Equation 2]

Further solving Equation 1 we get; 4a + 2b + 1547 = 1802

4a + 2b = 1802 - 1547 ; 4a + 2b = 255 ----------- [Equation 3]

Further solving Equation 2 we get; 16a + 4b + 1547 = 2403

16a + 4b = 2403 - 1547 ; 16a + 4b = 856 ----------- [Equation 4]

Now, Solving Equation 3 and 4 we get ;

a = 43.25 and b = 41 .

Therefore, values of constants a, b and c are 43.25, 41 and 1547 respectively.

(b) So, model we obtained in part (a) is represented as :

f(t) = $43.25t^{2} + 41t + 1547$

Now to estimate the number of craft-beer breweries in 2016, assuming that the trend continued we know that t would be 8 as 2016 - 2008 = 8 years.

So, f(8) = $43.25*(8)^{2} + 41*8 + 1547$ = 4643.

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4 years ago

How do i reflect something on a grid?

Xelga [282]

Answer:

Think of reflect as looking in a mirror. The question should tell you how your reflecting. It might say "reflect the rectangle over the y axis" (Look at the attachment below to see example).

Step-by-step explanation:

I can help more if I see the question. But usually questions ask you to reflect over the y or x axis.

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3 years ago

5. Open-Ended: Write the equations of three lines whose graphs are parallel to y = 2x + 11.​

5. Open-Ended: Write the equations of three lines whose graphs are parallel to y = 2x + 11.