1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
UkoKoshka [18]
3 years ago
7

1) Graph the following lines and using the graph determine several values of x for which the graph is positive (negative):

Mathematics
2 answers:
Dmitrij [34]3 years ago
7 0

Answer: (0, 2 1/7) or (0, 15/7)

Step-by-step explanation:

For number 5

Aleksandr [31]3 years ago
5 0

1) y=-0.5x-2


The graph of the above equation is attached in the attachment below.  

For all the values from negative infinity to -4, the function is positive.  

X ∈ (-∞,-4]


2) y=-1.5x+3


To find the x- intercept, plug y =0  

0=-1.5x+3


1.5x=3


x=2


x intercept = (2,0)


To find the y- intercept, plug x=0  

y=-1.5(0)+3


y=3


Y- intercept = ( 0,3)


3) y=13-x


Y- intercept = (0,13)


x- intercept = (13,0)


Area of triangle = \frac{bh}{2}


Area of triangle = \frac{13\times13}{2}


Area = \frac{169}{2} sq unit.


4) The graphs of y=-2x+7 and y=0.5x-5.5 is attached in the attachment below.  

The intersection point is ( 5,-3)


5) A = (-3,0)


B = (4,5)


C = (0,-4)


Slope of AB = \frac{5-0)}{4-(-3)} =\frac{5}{7}


Slope intercept of line y=mx+b


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

Plugging point A and the slope in the y- intercept to find the value of b.  

0=\frac{5(-3)}{7} +b

b=\frac{15}{7}


Equation of line AB: y=\frac{5x}{7} +\frac{15}{7}


Slope of BC = \frac{-4-5}{0-4} =\frac{9}{4}


Plug C = (0,-4)  

-4=0+b


b=-4


equation of line BC= y=\frac{9x}{4} -4


Slope of line AC = \frac{-4-0}{0--3} =\frac{-4}{3}


Equation of line AC = y=\frac{-4x}{3} -4


Y intercept of AB = (0,\frac{15}{7} )




You might be interested in
Line AB passes through points A(−6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y=mx+b, the
san4es73 [151]

Answer:

We get value of the value of b = 5

Step-by-step explanation:

Line AB passes through points A(−6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y=mx+b, then m=m equals negative StartFraction 1 Over 6 EndFraction.. What is the value of b?

We have slope m: m=-\frac{1}{6}

We need to find value of b (y-intercept)

Using the point A(-6,6) and slope m=-\frac{1}{6} we can find b.

Using slope-intercept form, putting values of m and x and y we get the value of b:

y=mx+b\\6=-\frac{1}{6}(-6)+b\\6=1+b\\b=6-1\\b=5

So, we get value of the value of b = 5

5 0
2 years ago
Find a formula for the linear function with slope -9 and x-intercept 2.
gregori [183]
Hello : 
<span> formula for the linear function with slope -9 and x-intercept 2 is : 
y - 0 = -9(x-2)
y= -9x +18

</span>
4 0
3 years ago
a computer store bought a program at a cost of $20 and sold it at a selling price$26. what is the percent markup
tekilochka [14]

it would be a 6 percent mark up :)

8 0
3 years ago
The slope of a line parallel to y=2x+1 is 2
Ann [662]
Yes. Parallel means same slope as original line. So it’s 2
7 0
2 years ago
Gannon has deposited $742 in a savings account that earns interest at a rate of 3.4% compounded monthly. What will the account b
marta [7]
Firstly, solve the effective annual interest (ieff) with the equation,
 
                          ieff = (1 + i/m)^m -1

where i is the interest rate and m is the number of times the interest is compounded in a year. In this problem, m is 12

Substituting the values, 
                            ieff = (1 + 0.034/12)^12 - 1 =0.03453

To solve for the future (F) amount of the present investment (P), 
                                       
                                        F = P x (1 + ieff)^n

where n is number of years.
 
                                        F = ($742) x (1 + 0.03453)^15

Thus, the answer is $1234.76. 


 
                

7 0
3 years ago
Other questions:
  • Find the derivative of the function using the definition of derivative. f(x) = 1 5 x − 1 6
    8·1 answer
  • Jason is going to cook brownies in a rectangualr pan. The pan measures 11 in. long by 8 in. wide by 3 in. tall. He must cover th
    7·1 answer
  • Gary spent 48 dollars on a watch. HE spent 1/3 of remainder on a pen. If he still had 1/2 of money left, how much money did he h
    5·1 answer
  • There are 40 boys in the club. the ratio of girls to boys is 2 to 5. how many girls are in the club
    9·1 answer
  • (ugsygygsgag I’m struggling) Find the value of x in the isosceles triangle shown below
    12·1 answer
  • What is f(-6)? Help!!!!!!!!!!
    7·1 answer
  • What is the logarithmic function modeled by the following table? x f(x) 9 2 27 3 81 4
    7·1 answer
  • Slove it step by step
    8·1 answer
  • Toni can carry up to 19 lb in her backpack. Her lunch weighs 1 lb, her gym clothes weigh 2 lb, and her books (b) weigh 4 lb each
    9·1 answer
  • Given the function f(x)=2|x+6|-4,for what values of x is f(x)=6
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!