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Ganezh [65]
3 years ago
7

The sum of 6 consecutive integers is 519.

Mathematics
1 answer:
worty [1.4K]3 years ago
6 0

One way to do this is to consider what the average of these integers is. It would be 519/6, or 86.5. This means the six integers are "centered" around 86.5: they would be 84, 85, 86, 87, 88, and 89 (there are three numbers greater than 86.5 and three less than 86.5 in this list).

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Which of the following is the maximum value of the function y = −x^2 + 2x + 1?
azamat

Answer:

Step-by-step explanation:

We don't need choices to find out the correct answer. Solve this problem by completing the square. Begin by setting the quadratic equal to 0 and moving over the constant, like this:

-x^2+2x=-1 and factor out the -1 in front of the x-squared, since the leading coefficient HAS to be a 1:

-1(x^2-2x)=-1 Now take half the linear term, square it, and add it to both sides. Our linear term is -2. Half of -2 is -1, and squaring that gives us 1. So we add a 1 into both sides. But that -1 out front there on the left is a multiplier, so what we actually added in was -1(1) which is -1:

-1(x^2-2x+1)=-1-1

On the left side we have a perfect square binomial, which is why we do this, and on the right side we have -2:

-1(x-1)^2=-2 and we can move that constant back over and set the quadratic back equal to y:

y=-1(x-1)^2+2  which gives us a max height of 2.

(If this was modeling parabolic motion, we would know that the time it takes to get to that max height is 1 second. The vertex of this parabola is (1, 2))

4 0
4 years ago
Johnathan can read 100 words every 3 minutes. At this rate,how many words can Johnathan read in 9 minutes ​
Black_prince [1.1K]

Answer:

300 words per 9 minutes

Step-by-step explanation:

3 minutes=100 words

3 minutes transformed to 9 minutes

3x3=9

100x3=300

plz mark brainliest

4 0
3 years ago
Read 2 more answers
What is the volume of the playhouse shown below?
Nana76 [90]

Answer:

V = 17.25m cubed

Step-by-step explanation:

Break up the shape into a rectangular prism and a triangular prism. First, find the volume of the rectangular prism. This volume is calculated by the formula b*w*h which would be (2.5)(3)(1.4) which gives the answer 10.5m cubed. Then, find the volume of the triangular prism. The triangular prism can be divided into two triangular prisms so that multiplying b*h of one of them will give the area for the face of both of them (since the formula for the area of the face of a triangle is 1/2b*h) which is necessary for calculation since the formula  formula for finding the volume of a triangular prism is A*h. Finding the area of the entire face by multiplying 1.25 and 1.8 will give the answer 2.25m squared.   Even though the height for the calculation of the area is 1.8, it's not the height for the calculation of the volume because the height must be found with the triangular face being on the bottom of the prism. Therefore, in order to find the volume, you would do (2.25)(3) in order to get 6.75m cubed. All that is left is to add the 10.5m and 6.75m to get the final answer of 17.25m cubed.

3 0
3 years ago
Im not too sure what I supposed to be doing at all
MrRissso [65]

Answer:

I dont know Ethier ask a teacher or sum gang

3 0
3 years ago
Help on these two problems please
charle [14.2K]
14) Note that Carlos travels 12 miles from school to home (and vice versa). Note also that it is only asking for "to school", and for 5 days.

Multiply 5 with 12

12 x 5 = 60

60 miles is your answer.
-------------------------------------------------------------------------------------------------------
15) Note:

Mandy travels 9 trips, and each trip is 10 miles
Matt travels 11 trips, and each trip is 8 miles.

Multiply each number to corresponding.

Mandy = 9 x 10
Mandy = 90

Matt = 11 x 8
Matt = 88

Mandy travels more miles than Matt by 2 miles

-------------------------------------------------------------------------------------------------------


hope this helps
3 0
4 years ago
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