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Eduardwww [97]
1 year ago
15

Solve the system of equations algebraically. 4x - 3y = 6 6x - 5y = 6

Mathematics
1 answer:
muminat1 year ago
3 0

Answer: x=6  y=6

Step-by-step explanation:

\displaystyle\\\left \{ {{4x-3y=6} \atop {6x-5y=6}} \right.\\

Since the right parts of the equation are equal, therefore the left parts of the equation are also equal:

4x-3y=6x-5y\\4x-3y+5y=6x-5y+5y\\4x+2y=6x\\4x+2y-4x=6x-4x\\2y=2x\\

Divide both parts of the equation by 2:

y=x\\Hence,\\4x-3x=6\\x=6\\Thus,\\x=y=6

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Can anyone solve part C?​
nlexa [21]

Answer:

y - 7 = 4(x - 35)

Step-by-step explanation:

The fundamental theorem of calculus states that:

\frac{d}{dx} \int\limits^x_a {f(t)} \, dt = f(x).

So using the fundamental theorem of calculus, you can find that h'(x) = f(x).

The question tells you that f(x) is periodic with a period of 8, so f(x) repeats itself every 8 units.

Using this, you can find that the slope of h(x) at x = 35 is the same as the slope of h(x) at x = 3, which is 4.

The slope of h(x) at x = 35 is 4.

Now I have to find the value of h(x) when x = 35. It is the area under f(x) from 0 to 35.

The area underneath f(x) from 0 to 35 is 7. When x = 35, h(x) = 7.

Now use the point-slope formula to write the equation of the tangent line.

The answer is <u>y - 7 = 4(x - 35)</u>

3 0
3 years ago
Read 2 more answers
When N divided by 5 leaves a remainder of 2, find the one's digit of N
Alexus [3.1K]

Step-by-step explanation:

One's digit of N can be 2 or 7.

3 0
3 years ago
Read 2 more answers
Please help I'm stuck on this questions thanks
polet [3.4K]
So its asking for basically the percentage of the first number out of the second. 

3. 25/50 = 50%
4. 125/75 = 167%
5. 32/28 = 114%
6. 7/10 = 70%


Hope this helped!  :)
6 0
3 years ago
Which of the following is the MOST accurate definition of standard deviation
zzz [600]

The MOST accurate definition of standard deviation is the mean absolute deviation of the sum of the squared deviation from the average. Option 4

<h3>Definition of standard deviation</h3>

Standard deviation can be defined as a statistic tool that measures the dispersion of a dataset in relation to its mean and is calculated as the square root of the available variance of the set.

It is calculated as the square root of the given variance.

Thus, the MOST accurate definition of standard deviation is the mean absolute deviation of the sum of the squared deviation from the average.

Learn more about standard deviation here:

brainly.com/question/475676

#SPJ1

6 0
2 years ago
It is known that 1.4&lt; square root of 2 &lt;1.5. Find all possible values of the expression 2-square root of 2. How do I find
horsena [70]

Answer:

0.5<2-√2<0.6

Step-by-step explanation:

The original inequality states that 1.4<√2<1.5

For the second inequality, you can think of 2-√2 as 2+(-√2).

Because of the "properties of inequalities", we know that when a positive inequality is being turned into a negative, the numbers need to swap and become negative. So, the original inequality becomes -1.5<-√2<-1.4. (Notice how the √2 becomes negative, too). This makes sense because -1.5 is less than -1.4.

Using our new inequality, we can solve the problem. Instead of 2+(-√2), we are going to switch "-√2" with both possibilities of -1.5 and -1.6. For -1.5, we would get 2+(-1.5), or 0.5. For -1.4, we would get 2+(-1.4), or 0.6.

Now, we insert the new numbers into the equation _<2-√2<_. The 0.5 would take the original equation's "1.4" place, and 0.6 would take 1.5's. In the end, you'd get 0.5<2-√2<0.6. All possible values of 2-√2 would be between 0.5 and 0.6.

Hope this helped!

4 0
3 years ago
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