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Juli2301 [7.4K]
3 years ago
15

The sum of two numbers is 21.

Mathematics
2 answers:
mafiozo [28]3 years ago
7 0

Answer:

Pretend that x and y represents the 2 numbers that we need to find.

According to the information, we know that:

x + y = 21

6x = y

Replace y in the first equation with 6x (because they are equal to each other according to the second equation):

x + y = 21

x + 6x = 21

7x = 21

x = 21/7 = 3

Now have two ways to find y, both will give us the same result:

3 + y = 21 ⇔ y = 21 - 3 = 18

6 · 3 = y ⇔ y = 18

So the numbers that we need to find are 3 and 18.

klio [65]3 years ago
7 0

Answer:

3 and 18.

Step-by-step explanation:

If one number is x then the other is 6x.

So, x + 6x = 21

7x = 21

x = 3.

The other number is 21 - 3 = 18.

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The table shows a student's proof of the quotient rule for logarithms.
nikklg [1K]

Answer:

The error is at step (3) .

The correct step (3) will be,

\log_{b}(\frac {b^{x}}{b^{y}})

= \log_{b}(b^{x - y})   [by using the laws of indices]

All other steps are correct.

Step-by-step explanation:

The error is at the step (3) , because the student has tried to prove the quotient rule of logarithms by using the property i.e., 'The quotient rule of logarithm' itself , i.e. ,by  assuming the property does hold before proving it. So, the proof is fallacious.

The correct step (3) will be,

\log_{b}(\frac {b^{x}}{b^{y}})

= \log_{b}(b^{x - y})   [by using the laws of indices]

All other steps are correct.

5 0
3 years ago
If x=12 what is that value of 5(x-4)
Kamila [148]

Answer: 40

Step-by-step explanation:

You need to plug in 12 for x

5(12 - 4) = 5 x 8 = 40

3 0
2 years ago
Will mark brainliest :)
fiasKO [112]

Answer:

B im pretty sure

Step-by-step explanation:

7 0
2 years ago
Find the value of x in the triangle.
Dmitrij [34]

Answer:

X = 65*

Step-by-step explanation:

Each triangle's angles equal 180*. So the equation you would type to find X is

180 - 65 - 50 = X

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6 0
2 years ago
The function f(x)=g(x), where f(x)=2x-5 and g(x)=x^2-6. The table below shows the process of solving using successive approximat
valkas [14]

Answer:

The positive solution is 2.4.

Step-by-step explanation:

The given functions are

f(x)=2x-5

g(x)=x^2-6

It is given that

f(x)=g(x)

2x-5=x^2-6

0=x^2-6-2x+5

0=x^2-2x-1

The quadratic formula:

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

x=\frac{2\pm \sqrt{(2)^2-4(1)(-1)}}{2(1)}

x=\frac{2\pm \sqrt{8}}{2}

x=\frac{2\pm 2\sqrt{2}}{2}

x=\frac{2(1\pm \sqrt{2})}{2}

x=1\pm \sqrt{2}

x=2.4,-0.4

Therefore the positive solution is 2.4.

6 0
3 years ago
Read 2 more answers
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