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wlad13 [49]
3 years ago
5

Simplify 

align="absmiddle" class="latex-formula">
Mathematics
2 answers:
e-lub [12.9K]3 years ago
6 0
\sqrt{\frac{49 }{4}} =\frac{\sqrt{49}}{\sqrt{4}}=\frac{\sqrt{7^2}}{2^2}=\frac{7}{2}=3\frac{1}{2}


Arisa [49]3 years ago
6 0
\sqrt{ \frac{x}{y} } = \frac{ \sqrt{x} }{ \sqrt{y} } \ \ \ \ and\ \ \ x \geq 0,\ y>0\\\\-----------------\\\\ \sqrt{ \frac{49}{4} }= \frac{ \sqrt{49} }{ \sqrt{4} }  = \frac{7}{2} =3 \frac{1}{2}
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The length of a rectangle is 2m longer than its width.
blsea [12.9K]

Answer:

35m

Step-by-step explanation:

length = 2+w

width = w

Perimeter = 2(length)+2(width)

24 = 2(2+w)+2(w) =  4+2w+2w = 4+4w

24=4+4w

4w=20

w=5

width =5

length = 2+5 = 7

Area = (length)(width) = 5(7) = 35m

8 0
3 years ago
Please help asap <br>What is the factored form of this expression? 5p^3-10p^2+3p-6​
poizon [28]

Answer:

(5p^2+3)(p-2)

Step-by-step explanation:

In this problem, we need to write the factor form of expression 5p^3-10p^2+3p-6.

It can be done as follows :

5p^3-10p^2+3p-6=(5p^3+3p)+(-10p^2-6)

Taking common form the terms as follows :

=p(5p^2+3)-2(5p^2+3)

It can be also written as :

=(5p^2+3)(p-2)

Hence, the factored form of 5p^3-10p^2+3p-6 is (5p^2+3)(p-2)

7 0
3 years ago
Consider the function f(x)=-3x^2 +7x -k. [3 Marks] a) For what values of k will the function have no zeros? b) For what values o
Anna35 [415]

Answer: a) k >4.08

b) k = 4.08

c) k<4.08

Step-by-step explanation:

Since we have given that

f(x)=-3x^2+7x-k

a) For what values of k will the function have no zeros?

It mean it has no real zeroes i.e. Discriminant < 0

As we know that

D=b^2-4ac

Here, a =-3

b = 7

c = -k

So, it becomes,

D

b) For what values of k will the function have one zero?

It means it has one real root i.e equal roots.

So, in this case, D = 0

So, it becomes,

D=b^2-4ac=0\\\\D=7^2-4\times -3\times -k=0\\\\49-12k=0\\\\49=12k\\\\k=\dfrac{49}{12}\\\\k=4.08

c) For what values of k will the function have two zeros?

It means it has two real roots.

In this case, D>0

So, it becomes,

D=7^2-4\times -3\times -k>0\\\\49-12k>0\\\\-12k>-49\\\\12k

Hence, a) k >4.08

b) k = 4.08

c) k<4.08

3 0
3 years ago
2/5 + 1/3, Whats The Answer?
meriva
Take the 2/5 and multiple it by 3 to get 6/15....then take the 1/3 and multiple it by 5 to get 5/15. Then add this together (6/15+5/15=....) to get 11/15
6 0
3 years ago
Read 2 more answers
What is the range? Please help
Lesechka [4]

The answer is C

Step-by-step explanation:

having a function with the power of the variable X can make infinite solutions both negative and positive

6 0
3 years ago
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