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UNO [17]
3 years ago
6

Point M is located between X and Y on this number line.

Mathematics
1 answer:
charle [14.2K]3 years ago
6 0

Answer:

 √48 could not be M.

Step-by-step explanation:

M must be  between - 2 and 6, so:

a. √48 = 6.93 so this can't be M.

b.   √18 = 4.24 so this could be M.

c and d could also be M.

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Three times the sum of a number and two is equal to -9.
Svetllana [295]

Answer:

:(

Step-by-step explanation:

use a equation calculator it really helps

8 0
3 years ago
Two pipes can fill a tank in 19 minutes if both are turned on. If only one is used, it would take 49 minutes longer for the smal
a_sh-v [17]

Answer:

The time taken by smaller pipe to fill the tank alone is 74.2 min

Step-by-step explanation:

Given as :

The time taken by two pipes to fill tank = 19 min

Let the time taken by larger pipe to fill tank = y

And the time taken by smaller pipe to fill tank = x

According to question

The smaller pipe takes 49 minutes longer than larger pipe

I.e x = y + 49

Now,

\dfrac{1}{x} + \dfrac{1}{y} = \dfrac{1}{49}

Or, \dfrac{1}{y + 49} + \dfrac{1}{y} = \dfrac{1}{49}

Or, \dfrac{y + 49 + y}{y^{2} + 49 y } = \dfrac{1}{49}

Or, 2 y + 49 = \dfrac{y^{2}+49y }{19}

Or, 19 × ( 2 y + 49 ) = y² + 49 y

Or, 38 y + 931 = y² + 49 y

Or, y² + 49 y - 38 y - 931 = 0

or, y² + 11 y - 931 = 0

Or, Applying quadratic equation method to calculate the value of y

so, y = \frac{- b \pm \sqrt{b^{2}-4\times a\times c}}{2\times a}

Or,  y = \frac{- 11 \pm \sqrt{11^{2}-4\times 1\times (-931)}}{2\times 1}

Or, y = \frac{- 1 \pm \sqrt{121+3724}}{2}

or, y = \frac{- 1 \pm \sqrt{3845}}{2}

or, y = \frac{- 1 \pm 62.008}{2}

∴   y = 25.2 , - 36.5

So, The time taken by larger pipe = y = 25.2 min

and the time taken by smaller pipe to fill the tank = y + 49 = 25.2 + 49 = 74.2 min

Hence The time taken by smaller pipe to fill the tank alone is 74.2 min answer

6 0
3 years ago
Which expression factors to 8(x+2)
yaroslaw [1]
8(x)+8(2)
8x+16

8 divided by 16 = 2
6 0
4 years ago
A finance journal, which publishes research on current financial topics, states that the maturity term for a certificate of depo
Fiesta28 [93]

Answer:

Following are the solution to the given question:

Step-by-step explanation:

In this the hypothesis is:

H_{0}:\mu=10\\\\H_{1}:\mu\neq10

The bankers assert that their bank's average maturity was distinct from that of ten years, that's why the hypothesis of the alternative.

7 0
3 years ago
What is this can someone tell me
klasskru [66]

Answer:

A. y+4=f(x)

Step-by-step explanation:

if you were to make this a y= equation then you would have to move the 4 to the other side by subtracting 4 from both sides therefore making the value of f(x) - 4

you should try it out in a graphic calculator like Desmos, it's an online graphic calculator

6 0
3 years ago
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