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2 years ago

Evaluate/find all “real” solutions to m squared +4 =0

Mathematics

1 answer:

laiz [17]2 years ago

6 0

Answer:

There is no real solution

Step-by-step explanation:

m^2 = -4

to find m would be a complex number and that would be

m = 2i

but you don't need to find that

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40% of the children in a sports club play badminton. 25% of the children who play badminton also play squash. There are 11 child

Keith_Richards [23]

Answer:

There are 110 children total in the sports club

Step-by-step explanation:

To get this answer, its actually easier than it seems. You might need a calculator however.

First you start with the 11 children who play both badminton and squash, then, you divide that by 0.25 (25%) to get 44.

Next you take 44 and divide it by 0.4 (40%) to get 110.

And there you go! If you want to make sure you got it right simply start with 110 and multiply it by 0.4 then multiply the number/decimal you get by 0.25. You should get 11 to confirm your answer :)

6 0

3 years ago

Determine the quotient, q(x), and remainder, r(x) when

Fed [463]

ANSWER

Quotient:

$q(x) = {x}^{2} - 4x + 7\\$

Remainder:

$r(x) = 11x - 29$

EXPLANATION

The given functions are

$f(x) = 4 {x}^{4} + 12 {x}^{3} + 17 {x}^{2} + 19x + 6$

and

$g(x) = 4 {x}^{2} + 4x + 5$

We want to find the quotient and the remainder when f(x) is divided by g(x).

We perform the long division as shown in the attachment.

The quotient is

$q(x) = {x}^{2} - 4x + 7$

The remainder is

$r(x) = 11x - 29$

5 0

2 years ago

Expand and simplify 2(5x - 1) – (2x - 5)

horrorfan [7]

Answer:

2(5x - 1) – (2x - 5)

=2(5x−1)−2x+5

=10x−2−2x+5

=(10x−2x)+(−2+5)

=8x+3

Step-by-step explanation:

3 0

2 years ago

A watch cost $75.99. If the sales tax rate is 6.25%, what is the amount of sales tax?

Luden [163]

75.99*0.0625=4.75 hope helps

7 0

3 years ago

Please help <br> The diagram shows a 5ft student standing near a tree

Novosadov [1.4K]

Answer:

25 ft

Step-by-step explanation:

The diagram shows two triangles that are similar. Similar triangles have equal angles and sides that are proportional to each other. Since the base of each triangle is given, we can find the proportion of the sides:

$\frac{smaller}{larger}=\frac{8}{40}=\frac{1}{5}$

Given the ratio of the smaller to larger triangle, we can set up a proportion to find the missing height of the larger triangle:

$\frac{1}{5}=\frac{5}{x}$ , where 'x' represent the height of the tree

cross-multiply: x = (5)(5) or 25 ft

8 0

3 years ago