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Mashutka [201]
4 years ago
11

What is the equation of the blue line?

Mathematics
2 answers:
weeeeeb [17]4 years ago
4 0
The equation of any straight line on a graph is y = mx + c

m = gradient = rise/run = 4/1 = 4

c = where it cuts the y axis = -3

the equation of the line is y = 4x - 3
slamgirl [31]4 years ago
4 0

Answer:

Y=4x-3

Step-by-step explanation:

(1,1) (0,-3)

To find the slope:

-3 -1/ 0-1 = -4/-1 = 4

Equation is y=mx+b

Y= 4x-3

You might be interested in
the relationship between altitude and the boiling point is linear.AT an altitude of  8300ft 8300 ft , the liquid 
mojhsa [17]

Complete Question

The  relationship  between  altitude  and  the  boiling  point  is  linear. At  an  altitude  of   8300ft, the  liquid  boils  at   194.23 °  F

At  an  altitude  of   4200 ft ,  the  liquid  boils  at   202.02° F.

Write  an  equation  giving  the  boiling  point   b  of  the  liquid,  in  terms  of  altitude  a  in   feet . feet . What  is  the  boiling  point  of  the  liquid  at   2600ft

Answer:

The equation is  y  =  -0.001943x + 210.3569

At  2600ft  the temperature is  y  =  205.3051 \  °F

Step-by-step explanation:

From the question we are told that

    The temperature at 8300ft is 194.23 °  F

    The  temperature at 4200 ft is 202.02° F

Generally the slope for this relationship is mathematically represented as

      m  =  \frac{ 202.2 - 194.23}{ 4200 - 8300}

=>     m  = 0.001943  ^o  F / ft  

Generally the according to the point slope formula is

      y - y_1  =  m(x -x_1 )

=>   y - 194.23 =  -0.001943 (x - 8300 )

=>  y - 194.23 =  -0.001943x + 16.1269

=>  y  =  -0.001943x + 210.3569

Now we are given from the question that   x =  2600 ft

Then  

         y  =  -0.001943(2600) + 210.3569

=>      y  =  205.3051 \  °F

   

5 0
4 years ago
Given: f(-x) = x - 7 and h(x) = 2x + 3
Nitella [24]

Answer:

if given f(-x)=x-7,  then f(h(x))=-2x-10

or  if given f(x)=x-7, then f(h(x))=2x-4

Step-by-step explanation:

if given f(-x)=x-7

f(-x)=x-7 => f(-(-x))=(-x)-7  =>f(x)= -x-7

f(h(x))=f(2x+3)= -(2x+3)-7 = -2x-3-7 = -2x-10

if given f(x)=x-7

f(h(x))=f(2x+3)=2x+3-7=2x-4

6 0
3 years ago
Please :’) help me out
expeople1 [14]

Answer:

10 units

Step-by-step explanation:

In this equation the parenthesis act as a multiplier, so you take w(2w + 2) = 40.

the variable w represents the number 1, so you multiply the numbers within the parenthesis.

w x 2w = 2w

w x 2 = 2w  

so now you have 2w + 2w = 40

add the w's for 4w = 40

Now you need to get rid of the number next to the W.

divide the four from the W and divide the 40 as well

4w/4= w

40/4 = 10

W=10

7 0
3 years ago
Solve the following inequalities by expressing the solution in interval form and on the number line:
Nookie1986 [14]

The value of x is from negative infinity to negative 3/7 and 29 to positive infinity.

<h3>What is inequality?</h3>

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality equations are given below.

a)  - 9x + 7 > 16 + 12x

b)  18 + 13x < 14x - 11

Then

a)  - 9x + 7 > 16 + 12x

Solving for x, we have

21x < -9

  x < -3/7

The value of x is less than the negative of 3/7.

b)  18 + 13x < 14x - 11

Solving for x, we have

x > 29

The value of x is greater than 29.

More about the inequality link is given below.

brainly.com/question/19491153

#SPJ1

3 0
2 years ago
Find the constant of variation for the relationship shown in the following table:
Tresset [83]
The answer is D.

Formula: k = y/x

5/1 = 5
10/2 = 5
15/3 = 5
20/4 = 5 
5 0
3 years ago
Read 2 more answers
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