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vivado [14]
3 years ago
14

What would the equation be for a quadratic equation with a vertex of (-5,-2)?

Mathematics
1 answer:
natta225 [31]3 years ago
4 0
The quadratic equation could be: y=(x+5)^2-2
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Everett is rolling a block with the numbers 1, 2, 3, 4, 5, and 6 on it. Finley is drawing one disk from a basket of three disks:
ioda

Option A:

The probability that Everett and Finley end up with an even number and a blue disk is \frac{1}{6}.

Solution:

Given data:

Everett is rolling a block with numbers = {1, 2, 3, 4, 5, 6}

Finley is drawing one disk from basket with colors = {blue, red, yellow}

Total number of numbers = 6

Total number of colors = 3

$\text { Probability }=\frac{\text {Number of possible outcomes}}{\text {Total number of outcomes}}

$P\text{(Even number)} =\frac{3}{6}$

$P\text{(Blue disk)} =\frac{1}{3}$

$P\text{(Even number and Blue disk)} =\frac{3}{6}\times\frac{1}{3}$

                                                  $=\frac{3}{18}

Divide numerator and denominator by the common factor 3.

                                                  $=\frac{3\div3}{18\div3}

                                                  $=\frac{1}{6}

Option A is the correct answer.

Hence the probability that Everett and Finley end up with an even number and a blue disk is \frac{1}{6}.

3 0
3 years ago
The sum of the first n terms of an arithmetic sequence is n/2(4n + 20).
lesantik [10]

Answer:

(a).

S_{n} =  \frac{n}{2} (4n + 20) \\  \\S _{n - 1} =  \frac{(n - 1)}{2} (4n - 4 + 20) \\  \\ S _{n - 1} =  \frac{(n - 1)}{2} (4n + 16) \\  \\S _{n - 1} = \frac{(n - 1)(4n + 16)}{2}  \\   \\  { \boxed{S _{n - 1} =  {2 {n}^{2} + 6n - 8}}} \\

(b).

from general equation:

S _{n - 1} =  \frac{(n - 1)}{2} (4n + 16)

first term is 4n

common difference:

16 =  \{(n - 1) - 1 \}d \\ 16 = (n - 2)d \\ d =  \frac{16}{n - 2}

8 0
3 years ago
Final grades are often computed using weighted averages. For example, Fran's teacher uses the following: homework 10%, quizzes 2
STALIN [3.7K]

The final grade of fran can be calculated by multiplying the corresponding percentage of his average homework, quizzes and tests, then sum it up and it is now the final grade of fran.

Final grade = (0.10 x 92) + ( 0.20 x 68) + (0.70 x 81)

<span>Final grade = 79.5 </span>

8 0
3 years ago
Please put details! I need it!
Kay [80]

Answer:

a. the points will be in quadrants q and s

b. the difference between the coordinates of the starting point and the checkpoint is that the starting point is negative on the 5 axis while the checkpoint is positive. the number on the y axis for the staring point and the checkpoint is the same.

3 0
3 years ago
Hello I'm stuck on this homework question and need help please thank you
Alexxx [7]

We need to find the surface area of the solid.

Since it's formed by cubes with edges of 1 meter, each square on the surface of the solid has an area equal to:

1\text{ meter }\times1\text{ meter }=1\text{ meter}^2

Thus, to find its surface area, we need to count the number of squares on its surface, and then multiply this number by 1 meter².

We can see that this solid has two equal latera surfaces (right and left). Each one of them has 17 squares.

Also, the number of squares on the horizontal surfaces is the same on the top and bottom of the solid. Each one of them has 10 squares.

And the vertical surfaces on the front and back of the solid have the same number of squares: 8 squares each.

Then, adding those quantities and multiplying the result by two, we find the total number of squares on the surface of the solid:

2\times(17+10+8)=2\times35=70

Therefore, the surface area of the solid is 70 m².

6 0
1 year ago
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