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Vlada [557]
3 years ago
12

The vertex of y=x^2+12x+32

Mathematics
1 answer:
ollegr [7]3 years ago
7 0

Answer:

The vertex is y=-4

Step-by-step explanation:

The vertex is the minimum point of the graph of the quadratic equation.

Let's first find the like of symmetry.

dy/dx=2x+12

2x+12=0

2x=-12

x=-6

Now plug -6 into the quadratic equation

y=(-6)²+12(-6)+32

y=-4

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Write the algebraic expression for the following statement.<br><br> A number plus 15.
mina [271]

Answer:

the algebraic expression is; x+15

5 0
2 years ago
What is the probability of spinning the spinner above and it not landing on the number zero?
Travka [436]

Answer:

3/4=75%

Step-by-step explanation:

There are 4 sections of the spinner. Any of the 4 could occur. 0 is one part of the 4 making it one fourth. Everything that's not 0 is 3 parts of the spinner meaning it has a probability of 3/4=75%

7 0
4 years ago
Jessica bought a soft drink for 2 dollars and 6 candy bars. She spent a total of 20 dollars. How much did each candy bar cost!
liq [111]

Answer:

4 dollars

Step-by-step explanation:

i subtracted the total money spend from the soft drink

18$ - 2$ = 16$ was spent in buying the candy bars

and she bought 4 candy bars so  we divide 16$ by 4 = 4$ for each candy bars

7 0
3 years ago
Why would I rewrite this
Ratling [72]

You are finding 3 1/6 - 1 5/6.

To solve, you should first change it so that the numerator of the first fraction is greater than the numerator of the second. Note that both have the same denominator (6). Subtract as usual:

3 1/6 = 2 7/6

2 7/6 - 1 5/6 = 1 2/6

1 2/6 is your answer.

~

7 0
4 years ago
In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 15 boys an
denis-greek [22]

Answer:

There are a total of possible 1820 results.

Step-by-step explanation:

Since there are two competitions, one for boys and one for girls, and we want all the possible results we will calculate the possible combinations for the boys and multiply them by the possible combinations for the girls. This is shown below:

Boys = \frac{15!}{3!(15 - 3)!} = \frac{15!}{3!12!} = \frac{15*14*13*12!}{3!12!}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = 455

Girls = \frac{4!}{3!*(4 - 3)!}\\Girls = \frac{4*3!}{3!}\\Girls = 4

Total number of possible results:

results = 4*455\\results = 1820

3 0
4 years ago
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