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Kay [80]
2 years ago
9

Which equation has infinite solutions?

Mathematics
1 answer:
AnnyKZ [126]2 years ago
5 0

The equation that has an infinite number of solutions is 2x + 3 = \frac{1}{2}(4x + 2) + 2

<h3>How to determine the equation?</h3>

An equation that has an infinite number of solutions would be in the form

a = a

This means that both sides of the equation would be the same

Start by simplifying the options

3(x – 1) = x + 2(x + 1) + 1

3x - 3 = x + 3x + 2 + 1

3x - 3 = 4x + 3

Evaluate

x = 6 ----- one solution

x – 4(x + 1) = –3(x + 1) + 1

x - 4x - 4 = -3x - 3 + 1

-3x - 4 = -3x - 2

-4 = -2 ---- no solution

2x + 3 = \frac{1}{2}(4x + 2) + 2

2x + 3 = 2x + 1 + 2

2x + 3 = 2x + 3

Subtract 2x

3 = 3 ---- infinite solution

Hence, the equation that has an infinite number of solutions is 2x + 3 = \frac{1}{2}(4x + 2) + 2

Read more about equations at:

brainly.com/question/15349799

#SPJ1

<u>Complete question</u>

Which equation has infinite solutions?

3(x – 1) = x + 2(x + 1) + 1

x – 4(x + 1) = –3(x + 1) + 1

2x + 3 = \frac{1}{2}(4x + 2) + 2

\frac 13(6x - 3) = 3(x + 1) - x - 2

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If f(x)=sinx 2x 1 and g is the inverse function of f
Bingel [31]

The value of the derivative of the function g(x) at x = 1 will be 1/3. Then the correct option is A.

<h3>What is an inverse function?</h3>

A function that may convert into another function is known as an inverse function or anti-function.

If the function is f(x) = sinx + 2x + 1.

Then the derivative of an inverse function g(x) of a function f(x) at a given value (a) will be

\rm g'(a) = \dfrac{1}{f'(g(a))}

The derivative of f(x) will be

f'(x) = cos x + 2

Then the given value of a will be

a = 1

g(x) = f⁻¹(x)

put x = 0, then we have

f(0) = sin 0 + 2(0) + 1

f(0) = 1

Put x = 1, in the function f⁻¹(x). Then we have

f⁻¹(1) = 0

and

g(1) = 0

Then put a = 1, then we have

\rm g'(a) = \dfrac{1}{f'(g(a))}\\\\g'(1) = \dfrac{1}{f'(g(1))}\\\\g'(1) = \dfrac{1}{f'(0)}\\\\g'(1) = \dfrac{1}{\cos 0 + 2}\\\\g'(1) = \dfrac{1}{1+2}= \dfrac{1}{3}

More about the inverse function link is given below.

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8 0
2 years ago
Find the area of this trapezoid. Include the correct unit in your answer.
NemiM [27]

Answer:

\displaystyle A _{ \text{trapezoid}} =  70 {m}^{2}

Step-by-step explanation:

we are given a trapezoid

we want to figure out the area

remember that,

\displaystyle A _{ \text{trapezoid}} =  \frac{a + b}{2} h

where a and b represent the parallel lines and h represents the height

we get from the pic that a and b are 5 and 15 respectively and h is 7

so substitute:

\displaystyle A _{ \text{trapezoid}} =  \frac{5 + 15}{2} \times  7

simplify addition:

\displaystyle A _{ \text{trapezoid}} =  \frac{20}{2} \times  7

simplify division:

\displaystyle A _{ \text{trapezoid}} =  10\times  7

simplify multiplication:

\displaystyle A _{ \text{trapezoid}} =  70

since we multiply two same units we of course have to use square unit

hence,

\displaystyle A _{ \text{trapezoid}} =  70 {m}^{2}

4 0
3 years ago
Alice needs to rent a car while on vacation. The rental company charges $17.95, plus 15 cents for each mile driven. If Alice onl
Readme [11.4K]

Answer:

Alice can drive 147 miles

Step-by-step explanation:

At first you subtract $17.95 from $40.

Then you are left with $22.05

Finally, you divide $22.05 by $0.15

And you get 147, so she can drive 147 miles without going over her limit.

7 0
3 years ago
2.8y + 6 +0.2 y =5y -14
serious [3.7K]
2.8y + 6 + 0.2y = 5y - 14
(Simplify like terms in first half of equation)
3y + 6 = 5y - 14
(Subtract both sides by 3y)
6 = 2y - 14
(Flip)
2y - 14 = 6
(Add both sides by 14)
2y = 20
(Divide both sides by 2)
y=10
3 0
3 years ago
X + y = 17<br> -x + 3y 7-8<br> :
ladessa [460]

Answer:

it could be x= 10 and y=7? I think bc 17 can be split up into 10 and 7 or 9 and 8 etc.

4 0
3 years ago
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