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Zielflug [23.3K]
3 years ago
5

PLEASE SOLVE FOR ME <3

Mathematics
1 answer:
natta225 [31]3 years ago
5 0

Step-by-step explanation:

At the dance, soft drinks were 4 for $2.20 this use relationship to fill in the table.

A.) fill in the table:

# of drinks: 1 2 3 4

Princes ($) | | | | |

B.) why is the constant of proportionality?

C.) if you were to buy 22 soft drinks, how much would it cost?

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I need help with this
evablogger [386]

Answer:

A) (-8, -16)

B) (0, 48)

C) (-4, 0), (-12, 0)

Step-by-step explanation:

A) the vertex is the minimum y value.

extremes of a function we get by using the first derivation and solving it for y' = 0.

y = x² + 16x + 48

y' = 2x + 16 = 0

2x = -16

x = -8

so, the vertex is at x=-8.

the y value is (-8)² + 16(-8) + 48 = 64 - 128 + 48 = -16

B) is totally simple. it is f(0) or x=0. so, y is 48.

C) is the solution of the equation for y = 0.

the solution for such a quadratic equation is

x = (-b ± sqrt(b² - 4ac)) / (2a)

in our case here

a=1

b=16

c=48

x = (-16 ± sqrt(16² - 4×48)) / 2 = (-16 ± sqrt(256-192)) / 2 =

= (-16 ± sqrt(64)) / 2 = (-16 ± 8) / 2 = (-8 ± 4)

x1 = -8 + 4 = -4

x2 = -8 - 4 = -12

so the x- intercepts are (-4, 0), (-12, 0)

6 0
3 years ago
Marcus loves baseball and wants to create a home plate for his house. Marcus needs to calculate the area of the home plate at th
balu736 [363]
The answer is d. 39.

Rectangle: 6*3 = 18

Big Triangle: (5*6)/2 = 15

Smaller Triangle: (4*3)/2 = 6

18+15+6=39.

Hope this helped☺☺
4 0
3 years ago
does anyone know how to solve this problem. i need to find the x. any help will be appreciated &lt;33
Helga [31]

Answer:

x=12

Step-by-step explanation:

82 +70= 152

180-152=28

2(12)+4= 28

boom there is your answer

7 0
3 years ago
Replacing the maximum value of the data set with a smaller number will also change the median. Provide an example
BigorU [14]

Answer:

B. Sometimes true

Step-by-step explanation:

The answer will be sometimes true because it can be true or false.

The median will be changed if the maximum value of the data set replaced into a value that smaller than the median. Let say we have data of 1, 2, 3, 4, 5 then the median is 3 and the maximum value is 5. If we change the maximum value into 3 or 4, the data set will still have 3 as the median. In this case, the median is not changed thus it's false.

But if we change the maximum value into 2, the data set will become 1, 2, 2, 3, 4. In this case, the median changed into 2 thus it's true.

4 0
4 years ago
Solve the system of equations below by graphing.
algol [13]

ANSWER


The correct answer is B

<u>EXPLANATION</u>

The first function is


x^2-2x+y-3=0


We make y the subject to obtain;


y=-x^2+2x+3


Let us quickly write this in the vertex form.


y=-(x^2-2x)+3


y=-(x^2-2x+(-1)^2)+3+(-1)^2


y=-(x-1)^2+4


Since the a is negative, the graph opens up.


The vertex is at (1,4)


The y-intercept is -3


The x-intercept is found by equating the function to zero.


-(x-1)^2+4=0


\Rightarrow (x-1)^2=4


\Rightarrow (x-1)=\pm 2


\Rightarrow x=1 \pm2

\Rightarrow x=-1,3


With these information we can quickly sketch the graph as shown in the attachment(the red graph).


For the second function,


x^2+y=0


we again make y the subject to obtain,


y=-x^2


This is a basic quadratic function that can be graphed easily. Note that it is also a maximum graph.


From the graph the solution to the two functions is


(-1.5,-2.25)





3 0
3 years ago
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