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mihalych1998 [28]
3 years ago
13

Which expression is equivalent to (sf)(6)

Mathematics
1 answer:
SashulF [63]3 years ago
4 0

Answer:

(st)(6)= s(6) * t(6)

Step-by-step explanation:

(st)(6)

(st)(x)= s(x) * t(x) we multiply it

(st)(6)= s(6) * t(6)

Hope this helps.

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Find two positive consecutive odd integers such that the square of the large integer is one less than twice the square of the sm
andre [41]

Step-by-step explanation:

x, x+2 are the two positive consecutive of integers (x + 2, because the minimum distance between 2 odd numbers is always 2, as there can never be 2 odd numbers directly following each other; and neither can even numbers, by the way).

(x+2)² = 2×x² - 1

x² + 4x + 4 = 2x² - 1

0 = x² - 4x - 5

we can solve this by factoring.

that means we need to find a and b so that

(x - a)(x - b) = x² - 4x - 5 = 0

and x = a and x = b are the 2 solutions of the quadratic equation.

x² - ax - bx + ab = x² - 4x - 5 = 0

x² - (a+b)x + ab = x² - 4x - 5 = 0

a+b = 4

ab = -5

that means that either a or b has to be 5 and the other -1.

so, the result is

(x - 5)(x + 1) = 0

x = 5

or

x = -1

are the possible solutions.

since we are only looking for positive integers, x = -1 is not a valid solution.

and only x = 5 remains as valid solution.

therefore, the 2 positive consecutive odd integers are

5, 7

4 0
2 years ago
What are the solutions to x2 + 8x + 7 =0?
Nata [24]

The chosen topic is not meant for use with this type of problem. Try the examples below.

y = x+4

y = 2x-5

y = x-1

7 0
3 years ago
Find the range of F<img src="https://tex.z-dn.net/?f=f%28x%29%3D%20%5Cfrac%7B2%7D%7Bx-7%7D%20" id="TexFormula1" title="f(x)= \fr
steposvetlana [31]
Answer: y \in R; y \neq 0
Explanation: For this, it is often best to find the horizontal asymptote, and then take limits as x approaches the vertical asymptote and the end behaviours.

Well, we know there will be a horizontal asymptote at y = 0, because as x approaches infinite and negative infinite, the graph will shrink down closer and closer to 0, but never touch it. We call this a horizontal asymptote.
So we know that there is a restriction on the y-axis.

Now, since we know the end behaviours, let's find the asymptotic behaviours.

As x  approaches the asymptote of 7⁻, then y would be diverging out to negative infinite.
As x approaches the asymptote at 7⁺, then y would be diverging out to negative infinite.

So, our range would be: y \in R; y \neq 0
6 0
3 years ago
A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which ex
Romashka-Z-Leto [24]
Hold on ill answer it


6 0
3 years ago
Read 2 more answers
What is the distribution property of 4 times 37
hjlf

Answer:

  4(30 +7) = 120 +28 = 148

Step-by-step explanation:

When applying the distributive property to integers, we usually break them apart according to place value. That is not the only way it can be done.

  4×37 = 4(30 +7) = 4·30 +4·7 = 120 +28 = 148

___

You can also break apart 37 other ways:

  4×37 = 4(35 +2) = 4·35 +4·2 = 140 +8 = 148

  4×37 = 4(40 -3) = 4·40 -4·3 = 160 -12 = 148

Or, you can break apart 4:

  37×4 = 37(2 +2) = 37·2 +37·2 = 74 +74 = 148

_____

The distributive property is usually written in generic form as ...

  a(b+c) = ab +ac

Then you may want to stop after the first couple of steps:

  4(30 +7) = 4·30 +4·7

We can't tell if you're suppose to evaluate the expression or not. Check your reference materials for an example of this kind of problem.

7 0
3 years ago
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