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Charra [1.4K]
2 years ago
11

which equation models the same quadratic relationship as function f? f(x)=x^2+12x+4 a) y=(x-6)^2+40 b) y=(x+6)^2-32 c) y=(x-6)^2

-32 d) y=(x+6)^2+40​
Mathematics
2 answers:
motikmotik2 years ago
7 0

9514 1404 393

Answer:

  b) y=(x+6)^2-32

Step-by-step explanation:

Add and subtract the square of half the x-coefficient to put into vertex form.

  f(x) = x^2 +12x +4 . . . . . given

  y = x^2 +12x +36 +4 -36 . . . . add and subtract (12/2)^2 = 36

  y = (x +6)^2 -32 . . . . . . . . . . . write in vertex form

Kruka [31]2 years ago
7 0

Answer:

<h2>B. Y=(x+6)²-32</h2>

Step-by-step explanation:

hope it helps

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A bowl of fruit contains only strawberries and grapes. For every 2 strawberries in a bowl there are 5 grapes.
sdas [7]

Answer:

See Explanation

Step-by-step explanation:

Given

Let:

S \to Strawberry

G \to Grape

The given parameter can be represented as:

S : G = 2 : 5

Required

The question is incomplete as what is required is not stated.

Possible questions could be to determine the number of strawberries given a certain number of grapes, and vice versa

Take for instance

Calculate the number of grapes when there are 20 strawberries

We have:

S : G = 2 : 5

This becomes

20 : G = 2 : 5

Express as fraction

\frac{20}{ G} = \frac{2 }{5}

Make G the subject

G = 20 * \frac{5}{2}

G = 10 * 5

G = 50

<em>i.e. 50 grapes</em>

<em>Apply the same method given a certain number of grapes</em>

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3 years ago
A small company employs 3 men and 5 women. If a team of 4 employees is to be randomly selected to organize the company retreat,
Paraphin [41]

Answer:

3/7.

Step-by-step explanation:

The total number of ways to pick 4 out of 8 = 8C4

= 8!/ 4!4!

= 70 ways.

The number of ways when  2 are women =  5C2 * 3

= 10 * 3

= 30.

So the required probability = 30/70

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6 0
3 years ago
Find 38.01% of 111. Round to the nearest thousandth
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Answer:

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Step-by-step explanation:

Punch it in the calculator and round the decimal from 42.1911 to 42.191

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Find S16 for 1 + 7 + 13 + 19 +
amm1812

S_n=\dfrac{a_1+a_n}{2}\cdot n\\n=16\\a_1=1\\a_{16}=?\\\\a_n=a_1+(n-1)\cdot d\\d=6\\a_{16}=1+(16-1)\cdot6=1+90=91\\\\S_{16}=\dfrac{1+91}{2}\cdot6=46\cdot6=276

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3 years ago
A bank charges a fee if your account balance falls below $50. Let b represent the account balance. Write an inequality to descri
Paraphin [41]

Answer:

b < 50. The solution has infinite solutions because any number smaller than 50 would work, and their are infinite numbers smaller than 50.

Step-by-step explanation:

3 0
3 years ago
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