Solve for the intercepts in the function 2y=8x -4

Which of the lines graphed has a slope of -1/2 and a y-intercept of 3

MAXImum [283]

Answer:

The correct option is C).

Figure show the line with slope of -1/2 and a y-intercept of 3

Step-by-step explanation:

The equation of line is given by y=mx+c.

Where m is slope and c is y-intercept.

Given that line has slope

m= $\frac{-1}{2}$ and c=3

Thus equation of line will be

y=mx+c.

y= $\frac{-1}{2}x+3$

To plot the line we need at least two points

Take x=0

y= $\frac{-1}{2}x+3$

y= $\frac{-1}{2}0+3$

y=3

The required point is A(0,4)

Take x=2

y= $\frac{-1}{2}2+3$

y=2

The required point is B(2,2)

Using this points to graph the given equation of line

Figure show the line with a slope of -1/2 and a y-intercept of 3

The correct option is C).

7 0

3 years ago

#5 Antonio and Abby had the same nimber of paperclips. After Antonio gave 30 paperclips to Abby, Abby had twice as many papercli

Kay [80]

Answer:

#5: 180 paperclips in total.

#6: 126 stamps in total.

#7: Elena should give Lucy 15 colored pencils.

Step-by-step explanation:

This explanation solves each question by setting a single unknown, $x$ .

Let $x$ the initial number of paperclips of Antonio. That should also be the number of Abby's paperclips.

Initially:

Antonio: $x$ paperclips;
Abby: $x$ paperclips.

Antonio gives $30$ paperclips to Abby. After that,

Antonio: $(x - 30)$ paperclips;
Abby: $x + 30$ paperclips.

Abby now possess twice as many paperclips as Antonio does. In other words,

$2(x - 30) = x + 30$ .

By the distributive property:

$2x - 60 = x + 30$ .

Substract $x - 60$ from both sides

$x = 30 - (-60) = 90$ .

Both Antonio and Abby initially possess 90 paperclips. That's 180 in total.

Similarly, let $x$ be the number of Emily's stamps. That should be the same as the number of Jasmine's stamps.

Initially:

Emily: $x$ stamps;
Jasmine: $x$ stamps.

After Emily gives $42$ stamps to Jasmine:

Emily: $x-42$ stamps;
Jasmine: $x+42$ stamps.

Jasmine now possesses twice as many stamps as Emily does. In other words,

$2(x-42) = x+42$ .

$x = 42 + 2\times 42 = 126$ .

Jasmine used to possess 126 stamps. Now she possesses $126 + 42 = 168$ stamps after receiving $42$ stamps from Emily.

Let the number of pencils that Elena needs to give to Lucy be $x$ .

Initially:

Elena: 60 pencils;
Lucy: 26 pencils.

After Elena gives $x$ pencils to Lucy:

Elena: $60 - x$ pencils;
Lucy: $26 + x$ pencils.

Elena should now possess four more pencils than Lucy does. In other words,

$\underbrace{60 - x}_{\text{Elena's}} = \underbrace{(26 + x)}_{\text{Lucy's}} +4$ .

$2x = 30$ .

$x = 15$ .

8 0

3 years ago

Terri played 70 tournament chess games during the school year and won 49 of them. What is her win-to-loss ratio?

Scilla [17]

Alright so the answer would be letter B, because

win-to-loss

49 to 21 (You can determine her losses by subtracted the number of wins from her total number of games played)

Now you must simplify your answer

7 is the greatest common factor (GCF) of both 49 and 21

Now divide both 49 and 21 by 7 to get

7 to 3

7 0

3 years ago

Consider the given function.

Natali5045456 [20]

Answer:

D)

Step-by-step explanation:

f(x) = x^2 -14x -72

0=x^2 - 14x-72

0=x^2 - 18x+4x-72

0=x(x-18)+4(x-18)

0=(x-18)(x+4)

x-18=0 or x+4=0

x1=18 or x2=-4

asis of symmetry: x=(x1+x2)/2

x=(18+(-4))/2

x=14/2

x=7

3 0

3 years ago

sales representative can take one of 4 different routes from City B to City E and any one of 4 different routes from City E to C

mrs_skeptik [129]

Answer:

16

Step-by-step explanation:

4 x 4 = 16 because you have to go through city E

5 0

2 years ago