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alex41 [277]
1 year ago
14

What is this problem

Mathematics
1 answer:
Veronika [31]1 year ago
3 0

The coordinate of the vertex is; (h, k) = (3, -5)

The final equation of the parabola is; y = 5(x - 3)² - 5

<h3>How to find the vertex of a Parabola?</h3>

The vertex is the coordinate of the crest or trough of the curve. Now, in the given graph, we only have a Trough which is the lowest point of the graph.

The coordinate of the vertex is; (h, k) = (3, -5)

2) Since the general equation is;

y = a(x - h)² + k

We will have;

y = a(x - 3)² - 5

At x = 2, y = 0. Thus;

0 = a(2 - 3)² - 5

a - 5 = 0

a = 5

3) The final equation of the parabola is;

y = 5(x - 3)² - 5

Read more about Parabola Vertex at; brainly.com/question/17987697

#SPJ1

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2. What does y equal? *<br> y+3/4 = 6
kakasveta [241]

Answer:

3rd option

Step-by-step explanation:

Given

y + \frac{3}{4} = 6 ( multiply through by 4 to clear the fraction

4y + 3 = 24 ( subtract 3 from both sides )

4y = 21 ( divide both sides by 4 )

y = \frac{21}{4} = 5 \frac{1}{4}

6 0
3 years ago
Find the product of (5.2 · 10-6) and (8 · 103).
sertanlavr [38]
The first one is 46 because according to the order of operations in this problem you have to multiply first so you do 5.2 times 10 which is 52 . Next do 52 - 6 = 46. Next multiply 8 times 103 which is 824. Then you multiply the two (46 times 824) and you get 37904
5 0
3 years ago
Jenny has c charms on her bracelet. Her older sister has 5 more charms than Jenny. Write an expression that shows how many charm
Svetradugi [14.3K]
Answer-

C + 5 = x

C showing how many charms Jenny has on her bracelet.
5 for the number of how many more her sister has.
X for the final sum.
5 0
1 year ago
What are the domain and range of this function y=(x+3)^2 -5
n200080 [17]

Answer: Choice A

Note: the range should be [-5, \infty). See explanation below.

===================================================

We can plug in any real number for x to get some output for y. The domain is the set of all real numbers in which we say (-\infty, \infty) which is interval notation. It represents the interval from negative infinity to positive infinity.

The range is the set of possible outputs. The smallest output possible is y = -5 which occurs at the vertex (3,-5). We can get this y value or larger. So we can describe the range as the set of y values such that y \ge -5 and that translates to the interval notation [-5, \infty).

The square bracket says "include this endpoint" while the curved parenthesis says to exclude the endpoint. Your teacher mistakenly wrote (-5, \infty) for choice A, when they should have written [-5, \infty)

I think either your teacher made a typo or somehow the formatting messed up. Either way, choice A is the closest to the answer.

8 0
3 years ago
Read 2 more answers
Please find the area of the figure!!
Murrr4er [49]

The figure consists of a rectangle and a circle.

first lets find the sides of the triangle

sides of the triangle are 4+4=8 and 3+1=4

therefore area of the rectangle is 8*4=32

now area of semicircle =πr^2/2 = π2^2/2=2π=6.3

we have to add the area of rectangle with the area of semicircle

this is because it the given figure no part of area of circle and rectangle are in common.

therefore total area of given figure = 32+6.3=38.3

4 0
3 years ago
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