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maxonik [38]
2 years ago
14

Which graph corresponds with the equation

%7B2%7D%20%2B2" id="TexFormula1" title="f(x)=\frac{1}{2 } (x+1)^{2} +2" alt="f(x)=\frac{1}{2 } (x+1)^{2} +2" align="absmiddle" class="latex-formula">

Mathematics
1 answer:
JulijaS [17]2 years ago
5 0

\qquad\qquad\huge\underline{{\sf Answer}}

The given equation is a Quadratic equation, so it's graph must be a parabola, and the Coefficient of x² is positive that means the parabola must have an opening upward.

And 2 is added to the ideal equation, so the parabola must have shift 2 units up from x - axis.

From the above information, we can easily conclude that the Correct representation is done in graph 4

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Keisha is working on a math worksheet with 50 problems. she has completed 20 problems in 25 minutes. if she continues at the sam
Gnesinka [82]

Answer:

About 42.5 or 42 1/2

Step-by-step explanation:

20 + 20= 40 + 10= 50

25 + 25= 30 + 12.5= 42.5

Srry if the explanation makes no sense I tried ;-;

4 0
3 years ago
Find the area of the shaded region.
RoseWind [281]

Answer: 51 in²

Step-by-step explanation: Using the given diagram, we can find the area of the shaded region by taking the area of the larger rectangle minus the area of the area of the small rectangle.

To find the area of the large rectangle, we start with the formula for the area of a rectangle which is shown below.

Area = length · width

Since the length of the large rectangle is 15 in and the width is 5 in, we can plug this information into the formula to get 15 in · 5 in or 75 in.

So the area of the larger rectangle is 75 in.

To find the area of the small rectangle, we also use length · width which is simply 8 in · 3 in or 24 in. So the area of the small rectangle is 24 in.

Finally, remember that  the area of the shaded region is the area of the larger rectangle minus the area of the smaller rectangle which in this case will be 75 - 24 or 51

So the area of the shaded region is 51 in².

6 0
4 years ago
Write the product (4 + i)(4 − i) in the form a + bi. A. 16 − i B. 16 − i2 C. 17 D. 8
bonufazy [111]

Answer:

A.16–i is correct.

Step-by-step explanation:

(4+i)(4–i). [(a+b)(a–b)=(a²–b²)]

(4²–i²)=16–i

I hope this answer is correct so please vote my answer

3 0
3 years ago
The expression (2x^2)^3 is equivalent to _____.<br><br> 6x^2<br> 6x^5<br> 8x^6
4vir4ik [10]

Answer:

8x^{6}

Step-by-step explanation:

To solve this problem is multiply 2 by 2 and then 2 which gives you 8.

Then you will add 2+2+2 and get six. For when multiply exponents you are adding.

8 0
4 years ago
Read 2 more answers
To rent a certain meeting room a college charges a reservation fee of $33 and an additional fee of $9.80 per hour the club wants
sammy [17]

Answer:

They must rent for less than 7 hours

Step-by-step explanation:

The charge for the room is the fee plus the hourly rate times the hour

f = 33+9.80t

This must be less than 101.60

101.60> 33+9.80t

Subtract 33 from each side

101.60-33> 33-33+9.80t

68.6> 9.80t

Divide each side by 9.8

68.8/9.8 > t

7>t

They must rent for less than 7 hours

7 0
3 years ago
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