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Slav-nsk [51]
3 years ago
8

Bonus: 2 points for vertex form or standard form, 5 points for both

Mathematics
1 answer:
Vikki [24]3 years ago
4 0

9514 1404 393

Answer:

  • y = (x -3)² -5
  • y = x² -6x +4

Step-by-step explanation:

The vertex form of the quadratic equation is ...

  y = a(x -h)² +k . . . . . . . . . vertex (h, k); vertical scale factor 'a'

Given the vertex, we can find the scale factor by substituting the given point values:

  11 = a(-1 -3)² -5

  11 = 16a -5

  a = (11 +5)/16 = 1

So, the vertex form equation is ...

  y = (x -3)² -5 . . . . . vertex form

Expanding this gives the standard form.

  y = x² -6x +9 -5

  y = x² -6x +4 . . . . . standard form

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In a large population, 57 % of the people have been vaccinated. If 3 people are randomly selected, what is the probability that
ollegr [7]

Answer:0.92

Step-by-step explanation:

Given

57\% of Population is vaccinated

So, Probability of a person being vaccinated is P=0.57

and simultaneously , probability of not vaccinated is 1-P

=1-0.57=0.43

Now, Probability that atleast one of them has been vaccinated is given by

=1-P(\text{None of them is vaccinated})

=1-0.43\times 0.43\times 0.43

=1-0.0795

=0.92

7 0
3 years ago
Read 2 more answers
Using technology, we found that Juan’s investment account can be modeled by the function, C(x) = 3x2 - 2x + 5, in thousands of d
lozanna [386]
The value of the initial investment is given when x = 0, so substituting x = 0 into the function, we have

C(0) = 3(0)²-2(0)+5
C(0) = 5

The initial investment is $5
8 0
4 years ago
Read 2 more answers
How is Addy 4+ -4 similar to adding 4+4 how is it different use the words and models to explain
Margarita [4]

4- (+) (-4) is similar to 4+4 by the rule of addition in integers that is if Negative + Negative then Add the number and put the sign of greater number.

<h3>What is integer?</h3>

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the corresponding positive numbers are the negative numbers. An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples. Three categories of integers exist: Zero (0) (0) Good integers (Natural numbers) Integer Negatives (Additive inverse of Natural Numbers).

The rules of addition in integers says,

- + -  = +

by this,

4-(-4)=8

by concept of addition,

4+4=8

To know more about integer,

brainly.com/question/15276410?referrer=searchResults

#SPJ13

3 0
1 year ago
What is the area of the triangle?
ArbitrLikvidat [17]

9514 1404 393

Answer:

  7 square units

Step-by-step explanation:

There are several ways the area of triangle EBD can be found.

  • find the lengths EB, BD, DE and use Heron's formula (messy due to roots of roots being involved).
  • define point G at the lower left corner and subtract the areas of ∆DEG and BCD from trapezoid BCGE.
  • figure the area from the coordinates of the vertices.
  • use Pick's theorem and count the dots.

We choose the latter.

__

Pick's theorem says the area of a polygon can be found as ...

  A = i + b/2 -1

where i is the number of grid intersection points interior to the polygon, b is the number of grid points intersected by the border.

The attached figure shows the lines EB, BD, and DE intersect one point in addition to the vertices. So, b=4. A count of the red dots reveals 6 interior points (i=6). So, the area is ...

  A = 6 + (4/2) -1 = 7

The area of ∆EBD is 7 square units.

4 0
3 years ago
At the movie theater all snacks and all movie tickets are priced the same. Four snacks and three movie tickets cost $40. Two sna
Nataliya [291]

We know that four snacks and three movie tickets cost $40 dollars, and when you take away 2 snacks but still keep the tickets, its $32.

2 snacks= $8

What i did to find the cost of each ticket is I divided 8 by 2 (8/2) and ended getting $4

1 snack= $4

Now to find the cost of each ticket, i divided 2 snacks ($8) and got this equation:

32 - 8= 24

3 tickets= $24

Now to find the amount for each ticket, i divided 24 by 3 (24/3) and got the answer:

1 ticket= $8

Therefore, snacks are $4 and movie tickets are $8

x tickets= 8x

x snacks= 4x

<em>Thank you! Btw can i please get brainly :3</em>

7 0
3 years ago
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