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GrogVix [38]
2 years ago
12

What is the missing factor in the equation? Assume x0 and y0.

Mathematics
1 answer:
denpristay [2]2 years ago
5 0

Answer:

y^3/4x

Step-by-step explanation:

Given that the expression 6x^2/5y multiplied by some unknown gives answer as 3xy^2/10

We know that if ab = c, the b = c/a

Using the same principle, we have

unknown value = 3xy^2/10 divided by 6x^2/y

Use the fact that a/b divided by c/d = ad/bc

We get unknown = 5y(3xy^2)/6x^2 (10)

=15xy^3/60x^2

Simplify the constant part 15/60 as 1/4

xy^3 /x^2y

X term becomes x/x^2 = 1/x

so multiplying term =y^3/4x

You might be interested in
Factor 3x^2y^2 − 2xy^2 − 8y^2. Show your work.
docker41 [41]
<span>3x^2y^2 − 2xy^2 − 8y^2 =
y^2 (3x^2 - 2x - 8) =

factoring with leading coefficient:

for ax2+bx+c find two numbers n,m, that m*n = a*c and m+n = b
</span><span><span>
3x^2 - 2x - 8
a=3, b=-2, c=-8
</span>a*c = 3*(-8) = -24
-24=(-6)*4 and -6+4=-2, so m=-6 and n=4

replace bx with mx + nx and factor by grouping
</span><span>
3x^2 - 2x - 8 = </span>3x^2 -6x + 4x -8 = 3x(x-2) + 4(x-2) = (3x+4)(x-2)

answer:
<span>3x^2y^2 − 2xy^2 − 8y^2 = y^2(3x+4)(x-2)</span>

7 0
3 years ago
A rectangular garden has a width that is 10 feet shorter than the length. Write and simplify an expression to represent the area
morpeh [17]

Answer:

x²-10x=area

Step-by-step explanation:

Area= length×width

Length: x

Width: x-10

Area= x(x-10)= x²-10x

I hope this helps...

:)

6 0
3 years ago
The question is:
saul85 [17]
f(x) = \sqrt{x+1} \\ y = \sqrt{x+1} \ or \ y^2 = x+1 \ or \ x = y^2 - 1 \\ Therefore, \ f^{-1}(x)=x^2 - 1

(fof^{-1})(a) = f(f^{-1}(a))=f(a^2-1) \\ =\sqrt{a^2-1+1}=\sqrt{a^2}=a \\  \\ (f^{-1}of)(a)=f^{-1}(f(a))=f^{-1}(\sqrt{a+1})= \\ (\sqrt{a+1})^2-1 = a+1-1 = a

Therefore, (fof^{-1})(a) = (f^{-1}of)(a) = a

8 0
2 years ago
I need help with this problem it’s due at midnight and I’m so tired of trying. Thanks it’s number 4 btw
bearhunter [10]

Answer:

Look below

Step-by-step explanation:

A.

8 + 9 + 10 = 27

9 + 10 + 11 = 30

10 + 11 + 12 = 33

B. Every answer is divisible by 3, every consecutive answer is also 3 more than the one before it.

C. Yes

19 + 20 + 21 = 60

D. No

8 is not divisible by 3. Also, the closest you can get is 6 (1 + 2 + 3) or 9 (2 + 3 + 4).

I hope this helped! If you need anything else, let me know in the comments. :)

6 0
3 years ago
A group of people were asked if they had run a red light in the last year. 150 responded "yes", and 185 responded "no". Find the
Softa [21]

Answer:

150/335, or 30/67

Step-by-step explanation:

Probability is expressed as the part against the whole (a fraction). All you have to do is divide how many people ran red lights by the total...and you're done!

Have a great day!

8 0
3 years ago
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