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2 years ago

5

Is my answer and graph correct?

1 answer:

PIT_PIT [208]2 years ago

7 0

Yes it is correct. You plotted the slope and initial rate value correctly and found the
point of intersection.

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

Aleksandr [31]

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 = $(0,\frac{15}{7} )$

5 0

3 years ago

Read 2 more answers

irina1246 [14]

Answer:

$13,392

Step-by-step explanation:

it will cost that because 1240 times 10.8 = 13,392

8 0

3 years ago

Which number has a 5 that represents a value ten times greater than the value represented by the 5 in 41,253 ?

Sergio039 [100]

Wouldn't the answer be any number which has the hundredths place as a 5? For example, 23,521.

As 50 x 10 = 500 and the 5 in 23,521 represents 500.

8 0

3 years ago

Patrick built a robot that is 0.8 meters tall. Adelaide built a robot that is 2 feet and 9 inches tall. Who has the taller robot

Ugo [173]

Answer:

Adelaide's robot is 83.82 centemetres = 0.84 meters

Step-by-step explanation:

2 feet = 60.96cm + 9 inches = 22.86cm therefore Adelaide's robot is taller

3 0

3 years ago

Write a real world situation that could be modeled by the equation 30x=48+22x

-BARSIC- [3]

For this case we have the following equation:
30x = 48 + 22x
An example of real life is:
"Laura earns $ 30 per hour at her job, Maria earns 22 dollars per hour at her job plus 48 $ of fixed salary, find the number of hours for which both get the same profit"
In the given equation,
x: represents the time in hours.

5 0

3 years ago