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ycow [4]
1 year ago
11

PLEASE HELP ME WHOEVER HELPS I WILL MARK BRAINLEST :)

Mathematics
1 answer:
julsineya [31]1 year ago
8 0

Remember the shortcut way for graphing quadratic equations

  • A quadratic function has graph as parabola
  • Hence on both sides of vertex the parabola is symmetric and axis of symmetry is vertex x values .
  • y on both sides for -x and +x is same

#1

  • y=2(x-3)²-1

Vertex

  • (h,k)=(3,-1)

As a is positive parabola facing upwards

Find y for same x distance from vertex

I took 3-1=2 and 3+1=4

  • f(2)=2(2-3)²-1=2(-1)²-1=2-1=1
  • f(4)=2(4-3)²-1=1

Now plot vertex and these two points (2,1) and (4,1) on graph then draw a parabola by freehand

#2

  • y=(x-2)(x+4)
  • y=x²+4x-2x-8
  • y=x²+2x-8

Convert to vertex form

  • y=x²+2x+1-9
  • y=(x+1)²-9

Vertex at (-1,-9)

Same take two equidistant x values

Let's take -1-1=-2 and -1+1 =0

  • f(-2)=(-2+1)²-9=1-9=-8
  • f(0)=(1)²-9=-8

Put (-1,-9),(-2,-8),(0,-8) on graph and draw a freehand parabola

#3.

Yes it can be verified by finding the coordinate theoretically on putting them on function then can be verified through putting them on graph whether they matches or not

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Write a word sentence as an inequality.<br><br> A number k minus 8.4 is greater than 21.
Travka [436]

Answer: k-8.4>21

Step-by-step explanation: K subtracted by 8.4 is greater than 21, so we start the equality off with our unknown variable K. Because K-8.4 is greater than 21, our symbol faces the direction of K-8.4 (symbol always faces the direction of the greater values).

8 0
3 years ago
PLEASE HELP!!!!!!!!! Explain and demonstrate how to change 4/20 into a percent.
Fynjy0 [20]
4/20 x 5 = 20/100 = 20%
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3 years ago
Mae Ling earns a weekly salary of $310 plus a 7.5% commission on sales at a gift shop. How much would she make in a work week if
Illusion [34]

Answer:  662.50 dollars

==========================================================

Explanation:

If she doesn't sell a single thing, she still earns the base weekly salary of $310. This is the smallest amount she can earn per week.

If she does make sales, then she'll earn an additional 0.075x dollars where x is the amount of sales made (the total value of the merchandise). The 0.075 is the decimal form of 7.5%

In total, she makes 0.075x+310 dollars per week. In this case, she sold x = 4700 dollars worth of goods, which means,

0.075x+310 = 0.075*4700+310 = 662.50

She earned 662.50 dollars for that week.

7 0
2 years ago
Read 2 more answers
-3 (v + 4) = 2v - 37
asambeis [7]

Step-by-step explanation:

-3 (v + 4) = 2v - 37

-3v - 12 = 2v - 37

5v = 25

v = 5

3 0
3 years ago
Business/multivariable calc question<br> help needed asap!!!!
UkoKoshka [18]

Answer:

There is a <u>   min   </u>  value of <u>   800   </u> located at (x,y) = <u>   (16, 12)   </u>

==========================================================

Explanation:

Let's solve the second equation for y

4x+3y = 100

3y = 100-4x

y = (100-4x)/3

We'll plug that into the first equation

f(x,y) = 2x^2+2y^2

g(x) = 2x^2+2((100-4x)/3)^2

g(x) = 2x^2+(2/9)*(100-4x)^2

g(x) = 2x^2+(2/9)*(10,000-800x+16x^2)

This graphs a parabola that opens upward, due to the positive leading coefficient. This g(x) curve has its vertex point at the minimum.

Apply the derivative to help find the minimum

g(x) = 2x^2+(2/9)*(10,000-800x+16x^2)

g ' (x) = 4x+(2/9)*(-800+32x)

------------------------

Set the derivative function equal to 0 and solve for x

g ' (x) = 0

4x+(2/9)*(-800+32x) = 0

4x+(2/9)*(-800)+(2/9)*(32x) = 0

4x-1600/9+(64/9)x = 0

9(4x-1600/9+(64/9)x) = 9*0

36x-1600+64x = 0

100x-1600 = 0

100x = 1600

x = 1600/100

x = 16

Use this x value to find y

y = (100-4x)/3

y = (100-4*16)/3

y = (100-64)/3

y = 36/3

y = 12

-----------------------

Therefore, (x,y) = (16,12) leads to the largest value of f(x,y) = 2x^2+2y^2

That smallest f(x,y) value is...

f(x,y) = 2x^2+2y^2

f(16,12) = 2*16^2+2*12^2

f(16,12) = 800

8 0
2 years ago
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