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krek1111 [17]
3 years ago
10

What is the vertex of the graph of the following equation? y = x^2 + 2x-3

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
6 0

Answer:

vertex = (- 1, - 4 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - \frac{b}{2a}

y = x² + 2x - 3 ← is in standard form

with a = 1, b = 2 , then

x = - \frac{2}{2} = - 1

Substitute x = - 1 into the equation for corresponding value of y

y = (- 1)² + 2(- 1) - 3 = 1 - 2 - 3 = - 4

vertex = (- 1, - 4 )

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Pls answer this with a picture showing the correct box plot
faust18 [17]

Answer/Step-by-step explanation:

To find out the mistake of the student, let's find the min, max, median, Q1 and Q3, which make up the 5 important values that are represented in a box plot.

Given, {2, 3, 5, 6, 10, 14, 15},

Minimum value = 2

Median = middle data point = 6

Q1 = 3 (the middle value of the lower part of the data set before the median)

Q3 = 14 (middle value of the upper part of the data set after the median)

Maximum value = 15

If we examine the diagram the student created, you will observe that he plotted the median wrongly. The median, which is represented by the vertical line that divides the box, ought to be at 6 NOT 10.

See the attachment below for the correct box plot.

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3 years ago
What is the value of the expression when x = 5, y = 4, and z = 3?
Elan Coil [88]
C-75 would be your answer
3 0
3 years ago
Read 2 more answers
Mr.Jacobs has a $200 budget for school supplies. He purchased 12 reams of printer paper for $4 each and six packs of dry-erase m
Nana76 [90]
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5 0
3 years ago
The area of a rectangle is 1,036 cm and its length is 74 cm.
Nikitich [7]

Answer:

(i) Breadth = 14 cm

(ii) Perimeter = 176 cm

Step-by-step explanation:

Given,

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  • Length = 74 cm

(i) Breadth = ?

We know that, Area of a rectangle = length × breadth.

Then,

1036 = 74 \times Breadth\\1036  \div 74 = Breadth\\\boxed{\bf\:14 \:cm = Breadth }

(ii) Perimeter of a rectangle = 2 (length + breadth)

Then,

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\rule{150pt}{2pt}

8 0
2 years ago
HELP
Shtirlitz [24]

x(x + 9-x) = 6^2

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x = 4


Answer

c. 4

4 0
3 years ago
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