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Crazy boy [7]
3 years ago
15

The bar graph below shows the student's favorite ice cream flavors. a) Use the graph's lines as a ruler to draw the intervals on

the number line shown above. Then plot and label a point for each flavor on the number line. B) Write a number sentence to show the total number of students who voted for butter pecan, Vanilla, and chocolate.

Mathematics
1 answer:
PtichkaEL [24]3 years ago
3 0
Butter pecan: 25
Vanilla: 35
Chocolate: 50

The dotted line between 20 and 30 (butter pecan) will be nothing more than anything including 5. In this case, it is 25 counting up to 30.
The solid lines directly leading to a number will be that number, for instance, chocolate is 50.
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A circular pond is modeled by the equation x^2 + y^2= 225. A bridge over the pond is modeled by a segment of the equation x – 7y
serious [3.7K]
x^2+y^2=225 \\
x-7y=-75 \\ \\
\hbox{solve the second equation for x:} \\
x-7y=-75 \ \ \ |+7y \\
x=7y-75 \\ \\
\hbox{substitute 7y-75 for x in the first equation:} \\
(7y-75)^2+y^2=225 \\
49y^2-1050y+5625+y^2=225 \\
50y^2-1050y+5625=225 \ \ \ \ \ \ \ \ \  |-225 \\
50y^2-1050y+5400=0 \ \ \ \ \ \ \ \ \ \ \ \ |\div 50 \\
y^2-21y+108=0 \\
y^2-9y-12y+108=0 \\
y(y-9)-12(y-9)=0 \\
(y-12)(y-9)=0 \\
y-12=0 \ \lor \ y-9=0 \\
y=12 \ \lor \ y=9

x=7y-75 \\
x=7 \times 12 -75 \ \lor \ x=7 \times 9-75 \\
x=84-75 \ \lor \ x=63-75 \\
x=9 \ \lor \ x=-12 \\ \\
(x,y)=(9,12) \hbox{ or } (x,y)=(-12,9)

The points are (9,12) and (-12,9).
The answer is A.
7 0
3 years ago
What is the effect on the graph of the parent function f(x) = x when f(x) is replaced with 4f(x)?
guajiro [1.7K]
Remark
The way this is written I would assume that it means 4*f(x) = x. That may not be entirely the correct assumption to be made. 

Step One
Replace f(x) by 4f(x)
4*f(x) = x  

Step two
Divide both steps by 4
f(x) = x/4 or (1/4)x
The slope is now 1/4

Discussion
A is incorrect.
The slope has been changed. 

B is incorrect
The slope has been changed to 1/4 and the y intercept is still 0

C looks to be the right answer.

D The y intercept is still zero. 

Comment
The question is a little hard to interpret. I've read it literally. That means that I have taken the question to mean that only f(x) was altered. If however, the right side was multiplied by 4 as well (as should be done), then the answer is A same slope same intercept. That's because the 4s on the left and right cancel, and the original equation results. I'm going to pick C but don't be surprised if it is A

C <<<<<answer

6 0
3 years ago
Read 2 more answers
Identify the missing base of the trapezoid, given that A=36 cm∧2. HELP PLEASE!!
den301095 [7]

Answer:

6 cm

Step-by-step explanation:

A = 1/2(b + 12)(4)

36 = 1/2(b + 12)(4)

72 = (b + 12)(4)

18 = b + 12

18 - 12 = b

6 = b

or

b = 6 cm

3 0
3 years ago
-x+y-z=17, 4x+3y+z=-10, 2x+y+3z=0
mario62 [17]

Answer:

x = -11, y = 10, z = 4

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

5 0
3 years ago
The sale tax in a certain state is 5 1/2%. What would be the tax on an item that costs $535.00
nexus9112 [7]

Answer:

$29.43

Step-by-step explanation:

5 1/2 % or 5.5% is 0.055 as a decimal.  Multiply 535 by 0.055 to find what 5.5% of 535 is...

0.055(535) = 29.425

Since we're working with dollars, round to the nearest hundredth, which is

$29.43

7 0
4 years ago
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