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Sav [38]
2 years ago
12

Evaluate if w = –2.1 and z = 5.7. w – z – 4

Mathematics
2 answers:
balandron [24]2 years ago
7 0
The answer is -13.8 :)
Alex777 [14]2 years ago
5 0
The answer will be -13.8
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F(x)= -2 |x-2|+ 4 vertically stretched by a factor of 2.
Veronika [31]

Answer:

f(x) = 4x^2 +2,

 is the function

Step-by-step explanation:

if i get this wrong imma tie a brick to my feet and jump in the ocean

6 0
2 years ago
The indefinite integral can be found in more than one way. First use the substitution method to find the indefinite integral. Th
Fantom [35]

Answer:

∫6x^5(x^6-2)\,dx = \frac{1}{2}(x^6-2)^2+C

Step-by-step explanation:

To find:

∫6x^5(x^6-2)\,dx

Solution:

Method of substitution:

Let x^6-2=t

Differentiate both sides with respect to t

6x^5\,dx=dt

[use (x^n)'=nx^{n-1}]

So,

∫6x^5(x^6-2)\,dx = ∫ t\,dt = \frac{t^2}{2}+C_1 where C_1 is a variable.

(Use ∫t^n\,dt=\frac{t^{n+1} }{n+1} )

Put t=x^6-2

∫6x^5(x^6-2)\,dx = \frac{1}{2}(x^6-2)^2+C_1

Use (a-b)^2=a^2+b^2-2ab

So,

∫6x^5(x^6-2)\,dx = \frac{1}{2}(x^6-2)^2+C_1=\frac{1}{2}(x^{12}+4-4x^6)+C_1=\frac{x^{12} }{2}-2x^6+2+C_1=\frac{x^{12} }{2}-2x^6+C

where C=2+C_1

Without using substitution:

∫6x^5(x^6-2)\,dx = ∫6x^{11}-12x^5\,dx = \frac{6x^{12} }{12}-\frac{12x^6}{6}+C=\frac{x^{12} }{2}-2x^6+C

So, same answer is obtained in both the cases.

7 0
2 years ago
Which is another way to check the sum of 104+34+228+877?
Alex787 [66]
The answer is digit sum method.

Digit sum method is method used to check the sum of sum numbers. If the sum of all of the digits of numbers is equal to the sum of all of the digits of the total sum, then the arithmetic process was correct.

We need to check the sum of <span>104+34+228+877:
</span>104 + 34 + 228 + 877 = 1243

Let's first summarize the digits of individual numbers:
104 *** 1 + 0 + 4 = 5
34 *** 3 + 4 = 7
228 *** 2 + 2 + 8 = 12 *** 1 + 2 = 3
877 *** 8 + 7 + 7 = 22 *** 2 + 2 = 4

Now, let's sum these sums:
5 + 7 + 3 + 4 = 19 *** 1 + 9 = 10 *** 1 + 0 = <u><em>1</em></u>

Then, let's summarize the digits of the total sum:
1243 *** 1 + 2 + 4 + 3 = 10 *** 1 + 0 = <u><em>1</em></u>

Since the sums of the digits on the both sides of equation is 1, than the arithmetic process was correct and the sum of <span>104 + 34 + 228 + 877 is really 1243.</span>

7 0
3 years ago
Ms. Hamm bought a new car for $37,500. It is said that her car depreciates at a rate of 7% each year
Alona [7]

Answer:

This would mean that the next year her car's value would go down by $2,625. The new value of the car would consequently be $34,875.

<h3><u>Step-by-step explanation:</u></h3>

<em>Here is how you can solve this problem:</em>

  • Okay, so first, let's find 7% of $37,500. To do this, the simple way would be to find first 1% of $37,500.

  • 1% of $37,500 is $375. This is because you are moving the decimal point two spaces to the left.

Now that we know that 1% of $37,500 is $375, let's multiply this value by 7.

  • 375 x 7 = 2625.

  • Subtract 2625 from 37,500.

  • You will get $34,875.

Let's say that the next year, her car value goes down by 7% again.

THIS IS THE IMPORTANT PART:

<em>YOU FIND 7% OF THE NEW VALUE, NOT $37,500. YOU WOULD FIND 7% OF $34,875.</em>

<em>Hope this helps! :) </em>

6 0
2 years ago
Find 7,465 ÷ 5 ye help pls i have an f for dis
kkurt [141]

Answer:

1493

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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