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Liono4ka [1.6K]
2 years ago
14

Solve these equation4(3-x)=(1-2x)​

Mathematics
1 answer:
serg [7]2 years ago
8 0

To attempt this algebraic equation we will be multiplying 4 to (3 - x) bracket so as to form the term on L.H.S.

:\implies\tt{4(3 - x) = (1 - 2x)}

:\implies\tt{(12 - 4x) = (1 - 2x)}

:\implies\tt{12 - 4x = 1 - 2x}

Combining like terms, we get,

:\implies\tt{12 - 1 =  - 2x + 4x}

:\implies\tt{11 = 2x}

:\implies\tt{2x = 11}

:\implies\tt{x =  \frac{11}{2} }

:\implies\tt{x = 5.5}

  • The value of x is 5.5

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Nina can ride her bike 63,360 feet in 3,400 seconds, and Sophia can ride her bike 10 miles in 1 hour . What is Nina’s rate miles
faltersainse [42]

Answer:

Nina's rate in miles per hour is 2.7 miles/hour

Nina bikes faster

Step-by-step explanation:

we know that

1 hour=3,600 seconds

1 mile=5,280 feet

<em>Convert feet to miles</em>

63,360 feet=63,360/5,280=12 miles

Convert seconds to hours

3,400 sec=3,400/3,600=0.94 hours

Find Nina's rate in miles per hour

12/0.94=12.7 miles/hour

Sophia's rate in miles per hour is 10 miles/hour

Compare the rates

12.7 miles/hour > 10 miles/hour

therefore

Nina bikes faster

8 0
3 years ago
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4 years ago
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djverab [1.8K]
7. two integers that aren't whole numbers could be -17 and -93
8 0
4 years ago
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swat32
The answer is reduction hope that helps
4 0
3 years ago
I need help! 50 points + brainliest
AlladinOne [14]

Answer:

Part 1)

A

Part 2)

C

Step-by-step explanation:

1)

We are given:

f(x)=5x+1\text{ and } g(x)=x^2-9

And that:

h(x)=f(x)/g(x)

And we want to now for which values of x is h(x) undefined.

So, by substitution:

\displaystyle h(x)=\frac{5x+1}{x^2-9}

Remember that for rational functions, the function will be undefined if and only if the denominator is 0.

This is because we cannot divide by 0.

So, to find the values for which the denominator is 0, set the denominator to 0 and solve for x. Therefore:

x^2-9=0

Add 9 to both sides:

x^2=9

Take the square root of both sides. Since we are taking an even-root, we will need plus/minus. Therefore:

x=\pm 3

So, h(x) is undefined for ±3.

Our answer is A.

2)

We are given:

f(x)=3^x\text{ and } g(x)=3^{2x}-3^x

And we want to find:

h(x)\text{ if } h(x)=f(x)-g(x)

So:

h(x)=3^x-(3^{2x}-3^x)

Distribute:

h(x)=3^x-3^{2x}+3^x

Combine like terms:

h(x)=2(3^x)-3^{2x}

Rewrite:

h(x)=2(3^x)-(3^x)(3^x)

Factor out:

h(x)=3^x(2-3^x)

So, our answer is C.

6 0
3 years ago
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