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Vera_Pavlovna [14]
1 year ago
12

Which of the following expressions is not equivalent to 12x + 18y?

Mathematics
1 answer:
Fed [463]1 year ago
8 0

Answer:

3(4x + 18y)

..................

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Find the value of x. <br> A. x= 1 <br> B. x=5 <br> C. x=19 <br> D. x=37
Strike441 [17]
Triangle WYZ and triangle TWY are congruent, therefore WZ = TW
WZ = TW
3x - 5 = 2x
3x - 2x = 5
x = 5

The value of x is 5
6 0
3 years ago
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If f(x)=2x-1 and g(x)=x^2-4, what is g(f(x))
lesantik [10]

Answer:

4x^2 - 4x - 3

Step-by-step explanation:

f(x) = 2x - 1

g(x) = x^2 - 4

g(f(x)) = ?

[substitute the x of g(x) with f(x)]

g(x) = x^2 - 4

g(f(x)) = (2x - 1)^2 - 4

[solve]

[binomial * binomial = quadratic equation]

[use FOIL method (first, outer, inner, last)]

g(f(x)) = (2x - 1)(2x - 1) - 4

g(f(x)) = (2x*2x) + (-2x) + (-2x) + (1) - 4

[combine like terms]

g(f(x)) = 4x^2 - 2x - 2x + 1 - 4

g(f(x)) = 4x^2 - 4x - 3

8 0
2 years ago
A $20,000 business computer depreciates at a rate of 15% per year. Which of the following equations would model the value of the
elena-s [515]

Answer:

f(t)=20000(0.85)^t

Step-by-step explanation:

So the initial value of the business computer is $20,000. It depreciates by 15% per year. This is exponential decay. The standard function for exponential decay is:

f(t)=P(r)^t

Where <em>P </em>is the initial value, <em>r</em> is the rate of decay, and <em>t</em> is the time in years.

Since the computer decreases by 15% per year, this means that each year, the computer will be 1-15% or 85% than its previous value.

Therefore, the equation that models the value of the computer is:

f(t)=20000(0.85)^t

4 0
2 years ago
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The dotted line represents the mid segment of the trapezoid. Find the value of X
Ganezh [65]

<u>Given</u>:

Given that the bases of the trapezoid are 21 and 27.

The midsegment of the trapezoid is 5x - 1.

We need to determine the value of x.

<u>Value of x:</u>

The value of x can be determined using the trapezoid midsegment theorem.

Applying the theorem, we have;

Midsegment = \frac{b_1+b_2}{2}

where b₁ and b₂ are the bases of the trapezoid.

Substituting Midsegment = 5x - 1, b₁ = 21 and b₂ = 27, we get;

5x-1=\frac{21+27}{2}

Multiplying both sides of the equation by 2, we have;

2(5x-1)=(21+27)

Simplifying, we have;

10x-2=48

Adding both sides of the equation by 2, we get;

10x=50

Dividing both sides of the equation by 10, we have;

x=5

Thus, the value of x is 5.

6 0
3 years ago
Evaluate -(3^-5)(3^3)<br> A. -9<br> B. 9<br> C. 1/9<br> D. -1/9
umka21 [38]

Answer:

D:= -1/9

Step-by-step explanation:

6 0
3 years ago
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