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2 years ago

Write the equation of the line in slope-intercept form using y=mx+b

Mathematics

2 answers:

crimeas [40]2 years ago

8 0

Answer:

y= 5x + -3

Step-by-step explanation:

m= slope= rise over run= 5

b= y intercept= -3

AnnZ [28]2 years ago

3 0

It looks like it goes through (0,-3) and (1,2), so the gradient is (change in y)/(change in x) ->
(-3-2)/(0-1) = 5
So y=5x+b

Then as we know it passes the y axis at (0,-3) so b= -3

So we have y=5x-3

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A box office sells balcony seats, ground-level seats, and VIP passes for shows on tour. The table shows the numbers of each type

Lana71 [14]

Answer:

The price of one Balcony seat = $50

The price of one Ground level seat = $90

The price of one VIP seat = $180

Step-by-step explanation:

Let the price of one Balcony seat = $ $x$

Let the price of one Ground level seat = $ $y$

Let the price of one VIP seat = $ $z$

As per the given table:

$135x+280y+29z=37170 ....... (1)\\150x+270y+58z=42240 ....... (2)\\130x+265y+29z=35570 ....... (3)$

Multiplying (1) with 2 and subtracting (2) from it:

$120x+290y=32100 \\12x+29y=3210..... (4)$

Subtracting (3) from (1):

$5x+15y=1600\\x+3y=320 ....... (5)$

Multiply equation (5) with 12 and subtracting (4) from it:

$7y=630\\\Rightarrow y =\bold{90}$

By equation (5), putting value of $y$ :

$x=\bold{50}$

By equation (1), putting the values of $x, y:$

$135\times 50+280\times 90+29z=37170\\\Rightarrow 29z=37170-31950\\\Rightarrow 29z=5220\\\Rightarrow z =\bold{180}$

Therefore, the answers are:

The price of one Balcony seat = $50

The price of one Ground level seat = $90

The price of one VIP seat = $180

6 0

3 years ago

Are these 2 ratios equivalent ratios?

Eva8 [605]

These ratios are equivalent because 7 and 8 can be multiplied by 6 to get 42 and 48.

3 0

2 years ago

Read 2 more answers

If sin x = 0.95, then what is cos x?

My name is Ann [436]

Sin=95/100 you should Find an other edge if we say y is an other edge. so,100^2=95^2+y^2
Y=31.22
Cosx=31.22/100=
O.3122

6 0

3 years ago

What is the slope of the line that contains the point -6,-7 and -6,2

Masja [62]

We know that coordinates are labeled (x,y)
The formula to find slope is (Y2-Y1)/(X2-X1)
So (2- (-7))/(-6-(-6) undefined because the denominator is zero. The line looks like a vertical line at x=-6

8 0

3 years ago

Read 2 more answers

There are two flavors of ice cream; strawberry and chocolate. the amount of strawberry ice cream is in the shape of a sphere. th

amid [387]

The complete question is
<span>There are two flavors of ice cream; strawberry and chocolate. the amount of strawberry ice cream is in the shape of a sphere. the amount of chocolate ice cream fills the rest of the cone. the dimensions of the sphere is 6cm and the cone is 12cm.

the figure is not drawn to scale

A. what is the volume, in cubic centimeters of the right circular cone ?show or explain how you got your answer.
B. the amount of strawberry ice cream is in the shape of a sphere. what is the volume in cubic centimeters of the strawberry ice cream?
C. what is the total volume in cubic centimeters of all the ice creams?
D.the amount of chocolate ice cream fills the rest of the cone. what is the volume in cubic centimeters of the chocolate ice cream?

we know that
the height of the cone is 12 cm
the diameter of a cone is 6 cm

Part A) </span>what is the volume, in cubic centimeters of the right circular cone? show or explain how you got your answer.

we know that
the volume of a cone=(1/3)*pi*r²*h
r=6/2----> 3 cm
h=12 cm
The volume of a cone=(1/3)*pi*3²*12------> 36*pi cm³-------> 113.04 cm³

the answer part A) is 36*pi cm³ (113.04 cm³)

Part B) the amount of strawberry ice cream is in the shape of a sphere. what is the volume in cubic centimeters of the strawberry ice cream?
volume of a sphere=(4/3)*pi*r³
r=3 cm
volume of a sphere=(4/3)*pi*3³-----> 36*pi cm³------> 113.04 cm³

the answer part B) is 36*pi cm³ (113.04 cm³)

Part C) what is the total volume in cubic centimeters of all the ice creams?
volume of the cone+volume of a hemisphere

36*pi+18*pi-----> 54*pi cm³-------> 169.56 cm³

the answer Part C) is 54*pi cm³ (169.56 cm³)

Part D) .the amount of chocolate ice cream fills the rest of the cone. what is the volume in cubic centimeters of the chocolate ice cream?
volume of a cone-volume of a hemisphere
36*pi-18*pi-----> 18*pi cm³-----> 56.52 cm³

the answer Part D) is 18*pi cm³ (56.52 cm³)

5 0

3 years ago

Write the equation of the line in slope-intercept form using y=mx+b​

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