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2 years ago

Please helpppp :< here is 25 points

Mathematics

1 answer:

masha68 [24]2 years ago

8 0

Answer:

function b

Step-by-step explanation:

When its asking for which function has a greater rate of change its asking for which slope has a greater value

the slope is calculated by change in y over change in x

for function a, as y goes up 2 x goes up 1

so the slope ( rate of change) is 2/1

for function b is y goes up 3 x goes up 1

so the slope (rate of change) is 3/1

3/1 is greater than 2/1 so function b has a greater rate of change

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A positive integer is twice another.the sum of the reciprocal of the two positive integer is 3/14. Find the integers

icang [17]

Answer:

$\huge\boxed{14\ \text{and}\ 7}$

Step-by-step explanation:

$n,\ m-\text{positive integer}\\\\n=2m-\text{a positive integer is twice another}\\\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}-\text{the sum of the reciprocal of the two positive integer is }\ \dfrac{3}{14}\\\\\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}n=2m&(1)\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}&(2)\end{array}\right$

$\text{Substitute (1) to (2):}\\\\\dfrac{1}{2m}+\dfrac{1}{m}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{1\cdot2}{m\cdot2}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{2}{2m}=\dfrac{3}{14}\\\\\dfrac{1+2}{2m}=\dfrac{3}{14}\\\\\dfrac{3}{2m}=\dfrac{3}{14}\Rightarrow2m=14\qquad\text{divide both sides by 2}\\\\\dfrac{2m}{2}=\dfrac{14}{2}\\\\\boxed{m=7}$

$\text{Substitute it to (1):}\\\\n=2\cdot7\\\\\boxed{n=14}$

8 0

2 years ago

In a shipment of 56 vials, only 13 do not have hairline cracks. If you randomly select 3 vials from the shipment, in how many wa

Elden [556K]

Answer: 27434

Step-by-step explanation:

Given : Total number of vials = 56

Number of vials that do not have hairline cracks = 13

Then, Number of vials that have hairline cracks =56-13=43

Since , order of selection is not mattering here , so we combinations to find the number of ways.

The number of combinations of m thing r things at a time is given by :-

$^nC_r=\dfrac{n!}{r!(n-r)!}$

Now, the number of ways to select at least one out of 3 vials have a hairline crack will be :-

$^{13}C_2\cdot ^{43}C_{1}+^{13}C_{1}\cdot ^{43}C_{2}+^{13}C_0\cdot ^{43}C_{3}\\\\=\dfrac{13!}{2!(13-2)!}\cdot\dfrac{43!}{1!(42)!}+\dfrac{13!}{1!(12)!}\cdot\dfrac{43!}{2!(41)!}+\dfrac{13!}{0!(13)!}\cdot\dfrac{43!}{3!(40)!}\\\\=\dfrac{13\times12\times11!}{2\times11!}\cdot (43)+(13)\cdot\dfrac{43\times42\times41!}{2\times41!}+(1)\dfrac{43\times42\times41\times40!}{6\times40!}\\\\=3354+11739+12341=27434$

Hence, the required number of ways =27434

5 0

2 years ago

Slove the following <br>equation without with out transporting I)5y +10=4y-10

Katen [24]

The answer is y= -20

7 0

2 years ago

Hello can someone please help me with this

HACTEHA [7]

Answer:

(c) is closest to the correct answer

Step-by-step explanation:

The question answers itself: "Mr. Jones's prescription calls for 1.04 tablets PER DAY, thus the amount of tablets Mr. Jones should talk daily are 1.04. Since none of the answers in the answer set have '1.04' in them, we have to use some basic logic:

The list of answers are, a) 1.25. We can rule that one out as it is not 1.04. We can also rule out b) and d) using the same logic. Thus, by process of elimination, we are left with c) 1 O. Not only is 1.0 (or just 1) the closest number to the actual amount (1.04) but it also makes the most sense, as one cannot take .04 (or 4/100ths) of a pill.

4 0

2 years ago

What is -4x+5y if x is 3 and y is 5

klasskru [66]

The answer is 13 hope this helps

6 0

3 years ago

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