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forsale [732]
3 years ago
5

Can somebody explain how to do this question

Mathematics
1 answer:
evablogger [386]3 years ago
7 0

Answer:

The answer is D

Step-by-step explanation:

Remember:

Contrapositive means that if you reverse the hypothesis and the conclusion the statement will mean the same thing

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determine the quadratic function of f whose graph is given. The vertex is (1,-3) and the y-intercept is -2
LuckyWell [14K]
Hmmm the y-intercept is at -2?  what does that mean?  well, is where the graph "intercepts" or touches the y-axis, and when that happens, x = 0, so the point is really ( 0 , -2 ).

and we know where the vertex is at.  Let's assume a vertical parabola, in which case the squared variable is the "x".

\bf \qquad \textit{parabola vertex form}\\\\
\begin{array}{llll}
\boxed{y=a(x-{{ h}})^2+{{ k}}}\\\\
x=a(y-{{ k}})^2+{{ h}}
\end{array} \qquad\qquad  vertex\ ({{ h}},{{ k}})\\\\
-------------------------------\\\\
vertex
\begin{cases}
h=1\\
k=-3
\end{cases}\implies y=a(x-1)^2-3
\\\\\\
\textit{now, we also know that }
\begin{cases}
x=0\\
y=-2
\end{cases}\implies -2=a(0-1)^2-3
\\\\\\
1=a(-1)^2\implies \boxed{1=a}\qquad thus\implies 
\begin{cases}
y=1(x-1)^2-3\\
\textit{or just}\\
y=(x-1)^2-3
\end{cases}
6 0
4 years ago
Find three consecutive integers such as two times the first integer, plus three times the second integer, minus the third intege
NikAS [45]

The three consecutive integers are 5, 6, and 7.

What are consecutive integers?

Whole numbers that follow one another without a gap are known as consecutive integers. A few examples of consecutive integers are 15, 16, and 17, 1,2 and 3, and so on.

Finding the Consecutive Integers

Let the three consecutive integers be a, a + 1, and a + 2.

These three consecutive integers are to be such that two times the first integer when added to three times the second integer minus the third integer, it is equal to 21.

⇒ 2a + 3(a+1) - (a+2) = 21

2a + 3a + 3 - a -2 = 21

5a - a + 3 - 2 = 21

4a + 1 = 21

4a = 20

a = 20/4

a = 5

∴ a+1 = 5+1

a+1 = 6

And, a+2 = 5 + 2

a +2 =7

Hence, the three consecutive integers come out to be 5, 6, and 7

Learn more about consecutive integers here:

brainly.com/question/1767889

#SPJ4

8 0
2 years ago
What is the interquartile range of the data? 120, 140, 150, 195, 203, 226, 245, 280 235.5
zheka24 [161]
For the first one it's 90.5, I know cause I just took the test and it's right. The second one I'm not sure..
5 0
4 years ago
What is the unit form for 10 x 3tens
Tems11 [23]

Answer:

3 hundreds

Step-by-step explanation:

10*3*10=300

unit for is 3 hundreds standard form is 300

6 0
3 years ago
Read 2 more answers
A rectangular room is 11 feet by 18 feet. The ceilings are 10 feet high. If a gallon of paint covers 250 square feet. How many g
Bingel [31]

Answer:

2.32 gallons of paint

Step-by-step explanation:

First, find the area of all 4 sides of the room, with the equation A = lw

11(10)

= 110 (for 2 of the walls)

18(10)

= 180 (for the other 2 walls)

Add these up:

110 + 110 + 180 + 180

= 580

Then, divide this by 250:

580/250

= 2.32

So, 2.32 gallons of paint will be needed to paint the room.

5 0
4 years ago
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