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wolverine [178]
2 years ago
15

What is the solution to the following system? 2y +x=4 y=-0.5x + 2

Mathematics
1 answer:
icang [17]2 years ago
8 0
1) Input Y.
2(0.5x + 2) + x = 4

2) Distribute and combine like terms
= 2x + 4 = 4

3) Subtract 4 from both sides
2x = 0

4) Divide.
2x/2 = 0/2

x = 2

:)
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What is the domain of the given function?
VARVARA [1.3K]

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8 0
3 years ago
HELP!!!!!! I believe its B but I am not sure! :(
n200080 [17]

Answer:

A

Step-by-step explanation:

When solving for x as an exponent, we need to use logarithms in order to undo the operation and rearrange the terms. We use log rules to bring down the exponent and solve. Logarithms are the inverse operations to exponents and vice versa. We have one special kind of logarithm called the natural logarithm whose base is e. We write it as ln. Since our base is e here, we will use the natural logarithm to rearrange and isolate x.

e^{4x-1} =3

We begin by applying the natural logarithm to each side.

ln(e^{4x-1}) =ln(3)

Log rules allow use to rearrange the exponent as multiplication in front of the log.

(4x-1)ln(e) =ln(3)

ln e as an inverse simplifies to 1.

(4x-1)(1)=ln(3)

We now apply the inverse operations for subtraction and multiplication.

4x-1+1=1+ln(3)\\4x=1+ln(3)\\\frac{4x}{4} =\frac{1+ln3}{4} \\x =\frac{1+ln3}{4}

Option A is correct.

5 0
3 years ago
Which set of numbers represents a Pythagorean triple
Anuta_ua [19.1K]

Answer:

27,36,45

Step-by-step explanation:

Pythagorean theorem

a^{2} +b^{2} =c^{2}

6^{2}+ 9^{2}\\ =117\\\neq 12^{2}

7^{2}+ 10^{2}\\ =149\\\neq 12^{2}

16^{2}+ 18^{2}\\ =580\\\neq 25^{2}

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3 0
3 years ago
In circle O, RT and SU are diameters. If m = m, what is m? 47° 52° 64° 87°
vlada-n [284]
From the given figure, it can be seen that 13x = 15x - 8 because they are vertical angles and thus are equal.

13x = 15x - 8
15x - 13x = 8
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x = 8/2 = 4

Thus, 15x - 8 = 15(4) - 8 = 60 - 8 = 52.

RT is a diameter, which means that mRT = 180

mRV + mVU + 52 = 180

mRV + mVU = 180 - 52 = 128

Now, given that mRV = mVU,

Thus, 2mVU = 128

Therefore, mVU = 128 / 2 = 64°
8 0
3 years ago
Read 2 more answers
Write an expression that is equivalent to -2/5(15 - 20d +50)<br> Explain please!:)
valina [46]

Answer:

-26 + 4/5d

Step-by-step explanation:

-2/5 ( 15 - 2d + 50)

= -2/5 ( 65 - 2d)

= -2/5 * 65 - (-2/5) * 2d

= -26 - (-4/5d)

= -26 + 4/5d

3 0
3 years ago
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