All categories

3 years ago

The last option is : The slope is 4, and the y-intercept is 12.

Mathematics

1 answer:

adell [148]3 years ago

3 0

Answer:

the last option

Step-by-step explanation:

slope: 4/1

y-intercept: 12

hopefully this helps :)

You might be interested in

Write the equation of the line in slope intercept form that passes through the two points: (1,-6) and (-3,2)

tatiyna

Answer:

y = -2x - 4

Step-by-step explanation:

Formula is y = mx + b where m is the slope and b is the y-intercept

(1, -6) (-3, 2)

$\frac{-6-2}{1-(-3)}=\frac{-8}{4} =-2$

The slope is -2

y = -2x + b

So let's find b, insert 2 for y and -3 for x to find b

2 = -2(-3) + b

2 = 6 + b

Subtract 6 from both sides to get b alone

-4 = b

We found what b equals (the y-intercept), which is -4

So, the equation is y = -2x - 4

Hope this helps and pls do mark me brainliest:)

5 0

3 years ago

Calen is comparing the prices per child for hosting a birthday at Mr. Bob’s Buffet and Sally’s Pizza Safari.

Bas_tet [7]

Answer:

The cost per child is $2.50 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari

Step-by-step explanation:

The missing table in the attached figure

step 1

Find the cost per child at Mr. Bob’s Buffet

we know that

The cost per child or unit rate is the same that the slope of the linear equation

From the graph take two points

(0,0) and (4,60)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{60-0}{4-0}$

$m=\$15\ per\ child$

step 2

Find the cost per child at Sally’s Pizza Safari.

From the data in the table

we have

(4,50) and (6,75)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{75-50}{6-4}$

$m=\$12.5\ per\ child$

step 3

Verify each statement

case A) The cost per child is $2.50 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari

The statement is true

Because

The cost per child is $15 at Mr. Bob’s Buffet

The cost per child is $12.50 at Sally’s Pizza Safari

The difference is $2.50 per child

case B) The cost per child is $10.00 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari

The statement is false (see the explanation)

case C) The cost per child is $15.00 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari

The statement is false (see the explanation)

case D) The cost per child is $5.00 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari.

The statement is false (see the explanation)

7 0

3 years ago

Your friend has built the skate board ramp shown in the figure with sides of 16 in., 63 in., and 65 in. that he claims has dispr

nexus9112 [7]

The friend is wrong - According to the Pythagorean Theorm, if c is the hypotenuse and a and b are opposite sides then c^{2} = a^{2} + b^{2}
if c=65 inches, a=16 inches and b = 63 inches, then
65^{2} =16 ^{2} + 63^{2}
right hand side of the equation = 256 + 3969 = 4225
left hand side of the equation = 65^{2}= 4225
So we see, left hand side = right hand side
Hence the theorm is proved.

5 0

3 years ago

Sam and Carlos are bowling with plastic pins in Sam's living room. Remarkably, Sam knocks down 8 pins on every bowl, and Carlos

sukhopar [10]

72 is the answer. Sorry I didnt help sooner.

7 0

4 years ago

At first, you have 15 bottles of coke, and you drink 2 bottles each day. After a certain number of days, there are 3 bottles lef

julia-pushkina [17]

Answer:

After 6 days, 3 bottles will be left.

Step-by-step explanation:

Given that:

Number of bottles = 15

Number of bottles drank each day = 2

Let,

d be the number of days

y be the number of bottles left

y = 15 - 2d

Now,

We have to find the number of days when 3 bottles will be left.

Putting y=3

3 = 15 - 2d

2d = 15 - 3

2d = 12

Dividing both sides by 2

$\frac{2d}{2}=\frac{12}{2}\\d=6$

Hence,

After 6 days, 3 bottles will be left.

4 0

3 years ago