Is this function linear or nonlinear?​

Answer:  [tex]y=-\dfrac67x-\dfrac{34}{7}[/tex]

Step-by-step explanation:

Slope-intercept form: y=mx+c   (i) , of linear equations,  m= slope and c= y-intercept of the line.

6x+7y=13in slope intercept form would be :

[tex]7y=13-6x\\\\\Rightarrow\ y=\dfrac{-6}{7}x+\dfrac{13}{7}[/tex]

Comparing to (i) , [tex]m = \dfrac{-6}{7}[/tex]

Slope of parallel lines are equal.

So, slope of required line = [tex]m = \dfrac{-6}{7}[/tex]

Equation of line with slope m and passes through point : [tex](y-b)=m(x-a)[/tex]

So, equation of required line:

[tex](y-(-4))=\dfrac{-6}{7}(x-(-1))\\\\\Rightarrow\ (y+4)=\dfrac{-6}{7}(x+1)\\\\\Rightarrow\ y+4=\dfrac{-6}{7}x-\dfrac{6}{7}\\\\\Rightarrow\ y=-\dfrac67x-\dfrac{6}{7}-4\\\\\Rightarrow\ y=-\dfrac67x-\dfrac{34}{7}[/tex]

Answer:

D

Step-by-step explanation:

To evaluate f(- 2) substitute x = - 2 into f(x), that is

f(- 2) = (- 2)² - (- 2)³ = 4 - (- 8) = 4 + 8 = 12 → D

Answer:

if a ray divides an angle into two congruent angles, then the ray is an angle bisector.

Step-by-step explanation:

if p statement is before the comma, called the hypothesis of the conditional statement.

then q statement is after the comma and it is called the conclusion of the conditional statement.

Answer:

450

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

Answer:

x = 18

Step-by-step explanation:

Answer:

19.2

Step-by-step explanation:

120/75=1.6

12 times 1.6=19.2

The y intercept is 4. M=2/3

Answer:

f(3) = -2

General Formulas and Concepts:

Step-by-step explanation:

f(3) simply means that the x values equals 3. x = 3

The question is asking for the y-value when x = 3.

According to the graph, when x = 3, y = -2.

Therefore, f(3) = -2.

Answer:

A- 200+25x

B- 200+25×4=300

Continued for question B: The input of 4 into "x" indicates how many cans of paint you have bought

Step-by-step explanation:

Answer:

-27.6

Step-by-step explanation:

I'm smart but probably shouldn't use my answer

Answer:

109 is 63% of 173.02

Step-by-step explanation:

Let 109 = 63% of x

Thus;

63/100 * x = 109

63x = 10900

x = 10,900/63

x = 173.02

Answer:

20mi[tex]1^{2}[/tex]

Step-by-step explanation:

Well, I'm guessing that the 1mi by 1mi is the two square sides and 5 mi is the length of the rectangular part

So with that information, the two surface areas of the squares would be 1mi[tex]1^{2}[/tex]+1mi[tex]1^{2}[/tex] is 2mi[tex]1^{2}[/tex]

And then the four rectangular sides would be 5mi[tex]1^{2}[/tex] *4 = 20mi[tex]1^{2}[/tex]

in conclusion

20mi[tex]1^{2}[/tex]

Answer:   {(x + 2), (x - 1), (x - 3)}

Step-by-step explanation:

Presented symbolically, we have:

x^3 - 2x^2 - 5x + 6

Synthetic division is very useful for determining roots of polynomials.  Once we have roots, we can easily write the corresponding factors.  

Write out possible factors of 6:  {±1, ±2, ±3, ±6}

Let's determine whether or not -2 is a root.  Set up synthetic division as follows:

-2   /   1   -2   -5   6

              -2     8   -6

     -----------------------

        1     -4      3    0

since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial.  The coefficients of the product of the remaining two factors are {1, -4, 3}.  This trinomial factors easily into {(x -1), (x - 3)}.

Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}

Answer: the record is 3 times higher

Step-by-step explanation:

The record Jenny's Burgers sold was:

36 burgers in 5 hours

The record Burger Hut sold was:

108 burgers in 5 hours

We have to divide the record of Burger Hut by Jenny's Burgers.

108 divided by 3 is 36.

Answer:

3 times the quantity

Step-by-step explanation:

108 divided by 36 equals 3 times the quantity

Answer:

150

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

120-75=45

45+105=150

120-75+105=150

Answer:

y = 6.7

x = 8

Step-by-step explanation:

3^2 + 6*2 = y

√9 + 36 = y

6.7 = y

10^2 = 6^2 + x

100 = 36 + x

100 (-36) = 36 (-36) +x

√64 = x

8 = x

Answer:

angle 1 =135

Step-by-step explanation:

it is 180 degrees total. We know that there are two angles that have a ratio to 3:1. So, assign x to 2. Since 1 = 3x, we do 3x+x =180

4x=180

x=45 or angle 2

180-45=135 or angle 1

Multiply angle 2 by 3 to check if its correct

Answer:

the measurement of angle 1 is 135 degrees. (i think)

Step-by-step explanation:

so we know that angle 1 and 2 are at a 3:1 ratio

and that 1 and 2 add to 180 degrees

if you plug the number 45 in to angle 1, then multiply that by 3 you get 135

the remaining number to add to 180 would be angle 2

which is 45 degrees.

If the explanation is choppy or hard to read, apologies, its fairly hard for me to explain this.

however i hope this helps.

Answer:

what is this? need some explanations

Answer:

what r u trying to explain

Answer:

Please find attached the required graph of the inequality representing the temperatures yeast will NOT thrive

Step-by-step explanation:

The given parameters are;

The temperature range, y, in which yeast thrives is 90°F ≤ y ≤ 95°F

Therefore, the temperature range, y', in which yeast will not thrive is 90°F > y  and y > 95°F

The graph of the inequality that represents the temperature is therefore given as shown in the attached drawing.

Answer:

Picture shown below

Step-by-step explanation:

Yeast thrives in temperatures within the temperature range of 90°F to 95°F. Any temperature above or below those limits hinders yeast production. An inequality to represent where yeast will not thrive is shown, where x represents the temperatures where the yeast will not thrive.

Answer: 76

Step-by-step explanation: 29 + 47

Answer:

The answer is "She cut a total of 42 pieces of pie".

Step-by-step explanation:

Given :

Total pie=  [tex]5 \frac{1}{4}[/tex]

cut pie = [tex]\frac{1}{8}[/tex]

The number of pieces of the pie she has=?

Solve the mixed fraction value:

[tex]\to 5 \frac{1}{4}= \frac{21}{4}[/tex]

If she cuts the pieces into the entire pie, that is  = [tex]\frac{1}{8}[/tex]  

So, the equation is:

[tex]\to \frac{21}{4} = \frac{1}{8} \times x[/tex]

[tex]\to x= \frac{21 \times 8}{4}\\\\ \to x= 21 \times 2\\\\ \to x=42[/tex]

Answer:

300 students

Step-by-step explanation:

There are two ways to solve this question.

60 is 20% of the total students

20÷100= 0.2

60÷0.2=300

Therefore there are 300 students

60 is 20% of the total students

60/20 = x/100

x= 60*100÷20

x= 6000÷20

x= 300

Therefore there are 300 students.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] {3}^{ \sqrt{6} } \times {3}^{ \sqrt{4} } = [/tex]

[tex] {3}^{ \sqrt{6} } \times {3}^{2} = [/tex]

[tex] {3}^{ \sqrt{6} + 2 } = {3}^{2 + \sqrt{6} } [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

[tex]\huge\boxed{\sf 126\° \ OR \ 145 \°}[/tex]

Step-by-step explanation:

m∠4 + m∠7 = 180    (Adjacent Angles of a parallelogram)

Given that m∠4 = x + 45, m∠7 = x² + 45

x + 45 + x² + 45 = 180

x² + x + 90 = 180

x² + x = 180 - 90

x² + x = 90

x² + x - 90 = 0

Using mid-term break formula

x² + 10x - 9x - 90 = 0

x(x+10) - 9(x+10) = 0

(x - 9)(x + 10) = 0

Either,

x-9 = 0       OR      x+10 = 0

x = 9          OR        x = -10

[tex]\rule[225]{225}{2}[/tex]

Now,

m < 7 = x² + 45

For x = 9

m < 7 = (9)² + 45

m < 7 = 81 + 45

For x = -10

m < 7 = (-10)² + 45

m < 7 = 100 + 45

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

The answer is 123

5

→

✔ 12 1/2

3

8

→

✔ 1/2

Martin's friend bought about  

✔ 6 ¼

pounds of grapes.

The number of pounds of grapes that are bought will be  [tex]4\frac{29}{40}[/tex]  pounds.

Fractions are used to represent smaller pieces (or parts) of a whole.

Given the information that Martin bought 12 3/5 pounds of grapes for a picnic, while his friend bought 3/8 of that amount.

Therefore, the amount that his friend bought will be:

= 3/8 × 12 3/5

= 3/8 × 63/5

= 189/40

= [tex]4\frac{29}{40}[/tex]

Hence,  the number of pounds of grapes that are bought will be  [tex]4\frac{29}{40}[/tex]  pounds.

Learn more about fraction on:

brainly.com/question/9695343

#SPJ6

Answer:

8

Step-by-step explanation:

Answer:

The Y-intercept is 1

It is where the line meets the y-axis

~PumpkinSpice1

[tex]==================================[/tex]

Remember, the y-intercept is the point where the graph touches the y-axis (that's why it's called y-intercept).

Let's look at this graph and see if we can identify the y-intercept of the line.

If we look at our graph, we'll see that the line touches the y-axis at (0, 1).

[tex]\pmb{Note:-}[/tex] Remember, y-intercepts have an x-coordinate of 0.

And guess what the y-coordinate is? Yes, it's the y-intercept of the line.

Hence, the y-intercept of the line is

[tex]\pmb{the~y-intercept~is~1}[/tex]

[tex]==================================[/tex]

Answer:

Total earned= $273

Step-by-step explanation:

Giving the following information:

Regular labor hours= $5.25

Overtime labor hours= $5.25*1.5= $7.875

To calculate the total earned, we need to use the following formula:

Regular labor hours= 40*5.25= 210

Overtime labor hours= 8*7.875= 63

Total earned= 210 + 63

Total earned= $273