3 years ago

Solving Systems of Equations by Graphing - Scavenger Hunt

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

3 0

Where’s the question

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Of 300 students in the cafeteria, 180 had lunch. Write the simplified ratio of the students in the cafeteria to the students tha

yan [13]

Answer:

300 : 180 = 5 : 3

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3 years ago

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Math riddle here

kupik [55]

Answer:

15+8+6+2=31

Step-by-step explanation:

highest no. is 15

15-7=8

31-15-8=8

middle number 8

8-6=2

CHECK: 15+8+6+2=31

i don't know if my answer is right haha

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2 years ago

store one is selling three notebooks for $5.13 store to is selling 5 notebooks for $8.40 store 3 7/8 notebooks for $14 in which

sdas [7]

Answer:

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Step-by-step explanation:

This is because store one sells notebook for 5.13. Store 2 sells one notebook for 1.68, and the last stores sells one notebook for 2 or 1.75. Meaning that store 2 sells it for cheap.

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3 years ago

1 + 1 + 23 + 77 +109 + 4568+ 32?

Bond [772]

Answer:

4811?

Step-by-step explanation:

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3 years ago

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Explain how to find the vertex of 2x^2+12x+16

Elina [12.6K]

The vertex form:

$y=a(x-h)^2+k\\\\(h,\ k)-vertex$

Use $(a+b)^2=a^2+2ab+b^2\qquad(*)$

$2x^2+12x+16=2(x^2+6x)+16=2(x^2+2(x)(3))+16\\\\=2(\underbrace{x^2+2(x)(3)+3^2}_{(*)}-3^2)+16=2((x+3)^2-9)+16\\\\=2(x+3)^2+(2)(-9)+16=2(x+3)^2-18+16\\\\=\boxed{2(x-(-3))^2-2}\to h=-3,\ k=-2$

<h3>Answer: (-3, -2).</h3>

Other method:

$f(x)=ax^2+bx+c\\\\vertex:(h,\ k)\\\\h=\dfrac{-b}{2a},\ k=f(h)$

We have

$f(x)=2x^2+12x+16\\\\a=2,\ b=12,\ c=16$

Substitute:

$h=\dfrac{-12}{(2)(2)}=\dfrac{-12}{4}=-3\\\\k=f(-3)=2(-3)^2+12(-3)+16=2(9)-36+16=18-36+16=-2$

<h3>Answer: (-3, -2).</h3>

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3 years ago