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3 years ago

Please I need help how do you solve 5 + x to the 2nd power = 2x2 + 13

Mathematics

1 answer:

Sveta_85 [38]3 years ago

7 0

Answer:

it has no real solutions

Step-by-step explanation:

5 + x² = 2x² + 13

first simplify by moving the 2x² to the left and the 5 to the right:

x² - 2x²= 13 - 5

- x²= 8

x = +/- √-8 has no (real) solutions

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Scrat the squirrel has a few nuts. When he put them in groups of 5 nuts, two nuts were left, and

iragen [17]

Answer:

The options are not shown, so i will solve this in a general way.

Let's suppose that there are N nuts

If we divide the N nuts into groups of 5, there will be a remainder of 2 nuts.

If we divide the N nuts into groups of 3, there is no remainder.

This means taht N is a multiple of 3. then we can write:

N = 3*k

where k is a random integer.

Now, we know that when we divide N by 5, there is a remainder of 2 nuts, this means that N is equal to a multiple of 5 plus 2, then we can write:

N = 5*j + 2

where j is a random integer.

Now we only need to find a pair of k and j (both positive integers) such that:

3*k = 5*j + 2

We can rewrite this as:

k = (5/3)*j + (2/3)

Now we could just input different values of j, and see if k is also an integer:

j = 2

k = (5/3)*2 + 2/3 = 10/3 + 2/3 = 12/3 = 4

Then the pair j = 2, k = 4 is a possible solution.

N = 3*k = 3*4 = 12

N = 5*j + 2 = 5*2 + 2 = 12

From this we can conclude that N = 12, so Scrat has 12 nuts.

Now with the equation

k = (5/3)*j + (2/3)

We can find other possible combinations of j and k, that will give different values for N.

for example, if j = 5:

k = (5/3)*5 + 2/3 = 25/3 + 2/3 = 27/3 = 9

Then the pair j = 5, k = 9 is also a possible solution:

N = 3*k = 3*9 = 27

N = 5*j + 2 = 5*5 + 2 = 27

In this case, Scrat has 27 nuts.

5 0

3 years ago

Find the measurement of the segment. QT = 28.5 in., QV = 64.7 in.

statuscvo [17]

The question requires getting the length of TV

Answer:
TV = 36.2 in

Explanation:
We are given that point T lies on line QV. The scenario is shown in the attached image.
This means that:
QV = QT + TV

We have:
QT = 28.5 in
QV = 64.7 in

Substitute with the values to get the length of TV as follows:
QV = QT + TV
64.7 = 28.5 + TV
TV = 64.7 - 28.5
TV = 36.2 in

Hope this helps :)

7 0

3 years ago

It took everly 55 minutes to run a 10-kilometer race late weekend. If you know that 1 kilometer equals 0.621 miles, how many min

Ket [755]

Well this type of problems isn't exactly my strong suit, but I tried to come up with a solution, so my reasoning is as follows: we know that 1km is 0.621 miles, and the problem incites us to find how much time 1 mile takes, so we need to find how many kms are in a mile:
1km ---> 0.621 miles
<=> 1/0.621=1.610 km ---> 0.621/0.621 = 1 mile
so 1 mile = 1.610 km
Next we need to know how much time 1.610 km takes to run across
We know that:
10 km take 55 mins
and 1.610 = 10/6.211
so we need to divide 55 by the same value
55/6.211 = 8.855 mins
So 10 km ---> 55 mins
1.610 = 10/6.211 km ---> 55/6.211 = 8.855 mins

I hope I didn't mess up.
Hope I helped ^^

3 0

3 years ago

4(4) 4(5) 4(6) 4(7) 4(8) 4(9) 4(10)

lakkis [162]

Answer:

16,20,24,28,32,36,40

Step-by-step explanation:

6 0

3 years ago

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48 out of 120 people at a fair bought fried Oreos. What percentage of the people bought fried Oreos?

oksano4ka [1.4K]