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Ber [7]
3 years ago
14

What is the vertex of the parabola of the equation? y=-x^2+12x-4Step by step, please

Mathematics
1 answer:
dimaraw [331]3 years ago
4 0
When you have an equation f(x)=ax^2 + bx + c the vertex is (-b/2a,f(-b/2a))
so just plug into the formula, (-12/-2,f(-12/-2)) and (6,32) is the vertex.
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If 40% of a number is 80 what is 25% of that number?
olga2289 [7]

Answer:

25% of 200 is 50

Step-by-step explanation

40% of a number is 80

.40 * n = 80

Divide each side by .4

.40 n/.4 = 80/.4

n = 200

The number is 200

Now lets find 25 percent of that number

.25 * 200 = 50


7 0
3 years ago
How much did Mario spend on golfing? a. $35.20 b. $45.20 c. $47.88 d. $143.96
Salsk061 [2.6K]
$47.88 your answer and I am the most important person in the world.
8 0
2 years ago
Read 2 more answers
Mack the bug starts at (0,0) at noon and each minute moves one unit right or one unit up. He is trying to get to the point (5,7)
PSYCHO15rus [73]
<span>This is a very nice counting question. Suggestion / Hint: Count how many ways he can get from (0,0) to (5,7) by going through the point (2,3). Then subtract that from ALL POSSIBLE ways he can get from (0,0) to (5,7). Hint for the hint: How many ways he can get from (0,0) to (5,7) by going through the point (2,3)? Well, that's the SUM of how many ways he can get from (0,0) to (2,3) and how many ways he get get from (2,3) to (5,7). Hope this helps! :)</span>
4 0
3 years ago
What is the common ratio between successive terms in the sequence?
GrogVix [38]

Answer:

It's 1/3.

Step-by-step explanation:

Common ratio = 9/27 = 1/3.

3 / 9 = 1/3

1 / 3 = 1/3   and so on.

4 0
3 years ago
Read 2 more answers
A packaging company is planning is in the planning stages of creating a box that include a three dimensional support inside the
Oliga [24]

Answer:

The length of the diagonal support is 69 feet.

Step-by-step explanation:

Dimensions of the box: length = 6 feet

                                       width = 5 feet

                                       height = 8 feet

The diagonal support relates with the diagonal of the base and the height.

From the base of the box, let the length of its diagonal be represented by x. Applying Pythagoras theorem;

/Hyp/^{2} = /Adj 1/^{2} + /Adj 2/^{2}

x^{2} = 6^{2} + 5^{2}

x^{2} = 36 + 25

   = 61

x = \sqrt{61}

  = 7.81

let the length of the diagonal support be represented by l. So that;

/Hyp/^{2} = /Adj 1/^{2} + /Adj 2/^{2}

l^{2} = x^{2} + 8^{2}

  = \sqrt{61} + 64

l  = \sqrt{\sqrt{61} + 64 }

  = 61 + 8

  = 69

Thus, the length of the diagonal support is 69 feet.

6 0
3 years ago
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