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MA_775_DIABLO [31]
3 years ago
6

a(x+b)=4x+10 in the equation above a and b are constants. if the equation has infinitely many solutions for X, what is the value

of b?
Mathematics
1 answer:
xeze [42]3 years ago
7 0

Answer:

b= \frac{5}{2}

Step-by-step explanation:

Given

a(x+b)=4x+10\\ax+b= 4x+10\\

Now we know that system has infinite solution for x

\frac{a_1}{a_2}=\frac{b_1}{b_2}

in above equation.

a_1=a, a_2=4, b_1=ab,b_2=10\\

∴\frac{a}{4}=\frac{ab}{10}\\\therefore b=\frac{10\times a}{4\times a}=\frac{5}{2}

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3 years ago
During two years, the population of birds of an island became 7 times more than before. If the first year increase in the popula
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The percent increase of the second year was 85.71%

Step-by-step explanation:

The exponential growth formula is y=a(1+r)^x

where;

y=population after x years

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The first year increase in the population was 40% this means;

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9.8p-1.4p=8.4

% increase will be;

8.4/9.8 *100 =85.71%

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Percent increase: brainly.com/question/13882170

Keywords : population, birds, island,increase

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5 0
3 years ago
Omar rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 98 cents for each mile dr
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The given question is incomplete. The complete question is:

Omar rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 98 cents for each mile driven. Omar had to pay $23 when he returned the truck. For how many mile did he drive the truck?

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Step-by-step explanation:

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Now Omar payed = 22 $

Let the miles he travelled = x

Now , 17.95+0.98\times x=23

Solvimg for x :

x=5.15miles

Thus Omar drove the truck for 5.15 miles

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Answer:

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Step-by-step explanation:

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