what is the second equation for this??

Given:

The value of the function g(x) is −2 when x=−5 and is 5.7 when x=6.

To find:

The equation of the function.

Solution:

The value of the function g(x) is −2 when x=−5. It means the graph of function passes through (-5,-2).

The value of the function g(x) is 5.7 when x=6. It means the graph of function passes through (6,5.7).

The equation of function g(x) that passes through (-5,-2) and (6,5.7) is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-(-2)=\dfrac{5.7-(-2)}{6-(-5)}(x-(-5))[/tex]

[tex]y+2=\dfrac{5.7+2}{6+5}(x+5)[/tex]

[tex]y+2=\dfrac{7.7}{11}(x+5)[/tex]

[tex]y+2=0.7(x+5)[/tex]

[tex]y+2=0.7x+3.5[/tex]

Subtract 2 from both sides.

[tex]y=0.7x+3.5-2[/tex]

[tex]y=0.7x+1.5[/tex]

Therefore, the equation of function g(x) is [tex]y=0.7x+1.5[/tex].

Answer:

I'm not that smart :/

Step-by-step explanation:

Answer:

It's greater than or equal to

Step-by-step explanation:

Answer:

a. ST and UV are perpendicular lines.

b. BC and DE are parallel.

c. NP and QR are neither parallel nor perpendicular.

d. GH and JK are parallel.

Step-by-step explanation:

Slopes are used to calculate steepness of a line. Slopes are also used to check if two lines are parallel, perpendicular or neither.

When two lines are parallel, their slopes are equal.

When two lines are perpendicular, product of slopes of both lines is -1

Slope is given by the formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

a) S(-4, -1), T(-1,5) and U(1,1), V(5, -1)

[tex]Slope\ of\ ST = \frac{5+1}{-1+4} = \frac{6}{3} = 2\\Slope\ of\ UV = \frac{-1-1}{5-1} = \frac{-2}{4} = -\frac{1}{2}[/tex]

Now,

[tex](Slope\ of\ ST)(Slope\ of\ UV) \\= 2 * -\frac{1}{2}\\=-1[/tex]

ST and UV are perpendicular lines.

b) B(-6, -2), C(-3, 3) and D(2,0), E(5,5)

[tex]Slope\ of\ BC = \frac{3+2}{-3+6} = \frac{5}{3}\\Slope\ of\ DE = \frac{5-0}{5-2} = \frac{5}{3}[/tex]

As the slopes of two lines is equal, BC and DE are parallel.

c) N(-6,2), P(--3, -4) and Q(1, -3), R(3, 4)

[tex]Slope\ of\ NP = \frac{-4-2}{-3+6} = \frac{-6}{3} = -2\\Slope of\ QR = \frac{4+3}{3-2} = \frac{7}{2}[/tex]

NP and QR are neither parallel nor perpendicular.

d) G(-2,5), H(4,1) and J(1, –4), K(7,0)

[tex]Slope\ of\ GH = \frac{1-5}{4+2} = \frac{-4}{6} = -\frac{2}{3}\\Slope\ of\ JK = \frac{0-4}{7-1}= \frac{-4}{6} = -\frac{2}{3}[/tex]

GH and JK are parallel.

Hence,

a. ST and UV are perpendicular lines.

b. BC and DE are parallel.

c. NP and QR are neither parallel nor perpendicular.

d. GH and JK are parallel.

Answer:

Step-by-step explanation: when you first open the graphing tool you have to click relationship and choose custom. put in gwen’s equations (y=100+10x) then go to relationship and choose custom again and put in tristan’s equation (y=12.5)

also click on the settings button at the bottom of the graph and put the x axis to -100 min and 100 max and for y axis put -1000 min and 1000 max or you could choose your own numbers but thats just what i put

The graph of the equations (y = 10x + 100), (y = 10x), and (y = 12.5x) can be drawn by using the rules of transformation.

Given :

The following steps can be used to sketch the graph of the given line (y = 100 + 10x):

Step 1 - First sketch the graph of (y = x).

Step 2 - Then Multiply the x-axis by a factor of 10. The resulting graph is the graph of (y = 10x)

Step 3 - Then find the y-intercept from the given equation. Then draw the line that passes through (0,100). The resulting line is the graph of (y = 100 + 10x).

The following steps can be used to sketch the graph of the given line (y = 10x):

Step 1 - First sketch the graph of (y = x).

Step 2 - Then Multiply the x-axis by a factor of 10. The resulting graph is the graph of (y = 10x)

The following steps can be used to sketch the graph of the given line (y = 12.5x):

Step 1 - First sketch the graph of (y = x).

Step 2 - Then Multiply the x-axis by a factor of 12.5. The resulting graph is the graph of (y = 12.5x)

The graph of all the equations together is attached below.

For more information, refer to the link given below:

https://brainly.com/question/13432851

Answer

1.) B

2.)  3 hours

Step-by-step explanation:

1.)  option B is correct I think because it shows he will either be equal to or less than how much money he wants to spend

2.) i got three because if you sent up the equal I picked in question one then you subtract 28 from 250 giving u 222 and you divide that by 65 giving you 3.4 but he only charges by the whole hour so that .4 of an hour he wouldn't charge you for

Step-by-step explanation:

Here is your answer in the attachment

Hope it helps you

Answer:

9,450

Step-by-step explanation:

10 cant go into the others because they end with a 5

Answer:

Step-by-step explanation:The amount coach smith will spend is given by

11(3(48) + 2(5) + 17 + 2(89)) = 11(144 + 10 + 17 + 178) = 11(349) = $3,839

Answer:

3/8

Step-by-step explanation:

they simply combined the like terms (aka the x numbers in this case) so all that's left is 3/8

Answer:

The answer is really simple

Step-by-step explanation:

52.93-4.37 which is 48.56

I think the correct answer of this question is25

Step-by-step explanation:

2+10×2-5+8

=2+20-5+8

=30-5(2+20+8=30)

=25

I think it will surely help to you to solve this quesrion.

Answer: The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. Adding the exponents is just a short cut! The "power rule" tells us that to raise a power to a power, just multiply the exponents.

Step-by-step explanation:

Answer:

1. x = 8

2. w = -13

3. y = 108 (i am not sure for this one).

4.  z = -159

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

Well, I don't know how to graph it for you, but the slope is -2/3 and the point is (-9, 5).  So, when you graph it, from the point (-9, 5), you can go 3 units to the right and 2 units down.

Answer:

180 hours

Step-by-step explanation:

Hope this helps

Answer:

34.00 $

Step-by-step explanation:

42.50:5= 8.50$ each

8.50*4= 34$

Answer: The area of the larger square is 9 times the area of the smaller square.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

20 miles

Step-by-step explanation:

20% of 100 is 20

Answer:

The dude bikes 20 miles

Step-by-step explanation:

100 times 20 divided by 100

2000/100

20 miles

Answer:

Ms. Cortez earns 500 dollars for working 30 hours.  It's the last choice.

Step-by-step explanation:

You just have to substitute 30 into the equation in place of x, since x represents hours.

f(30) = 50 + 15(30)

f(30) = 50 + 450

f(30 = 500

Answer:

the function would by labeled y

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer: LMC= 36

Step-by-step

Lcm is were u find how much they can go into each other for example

4: 12 3 4 5 6 7 8 9 = 36

9: 1 2 3 4 = 36

3: 1 2 3 4 5 6 7 89 10 11 12 = 36

2: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 = 36

Answer:

B 2.95

Step-by-step explanation:

The magnitude of w is |w| = 2.95 , Option B is the correct answer.

Any object that has both magnitude and direction is called a Vector.

It is given that

|u| = 2 at 0 degree

|v| = 4 at 45 degree

The magnitude of the vector w = | u -v| = ?

The resultant angle will be 45 degree

By applying Cosine law

w = | u -v| = [tex]\rm \sqrt { u^2 + v^2 - 2*u*v*cos \theta}[/tex]

w = | u -v| = [tex]\rm \sqrt { 2^2 + 4^2 - 2*2*4*cos 45^o}[/tex]

w = 2.947 = 2.95

Therefore the magnitude of w is |w| = 2.95 , Option B is the correct answer.

To know more about Vector

https://brainly.com/question/24256726

#SPJ2

Answer:

5x-17-8x-3=14

-3x=14+17

x=31/-3

x=8.333333

Answer:

Population education is included in school curriculum because of following reasons: It aware the causes and consequences of population growth on socio-economic and environmental aspect. It imparts the knowledge and changes the attitudes and practice of people regarding population.