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NeX [460]
3 years ago
10

Let f(x)=-3x and g(x) = 2x-1 Find the following: 4g(x) - f(x)

Mathematics
2 answers:
mr Goodwill [35]3 years ago
6 0

Answer:

11x-4

Step-by-step explanation:

f(x)=-3x

g(x) = 2x-1

4g(x) - f(x)

4(2x-1) - ( -3x)

Distribute

8x -4 +3x

Combine like terms

11x-4

nadya68 [22]3 years ago
5 0

Here, we are provided with two polynomials f(x) and g(x),and we need to find 4g(x) - f(x).

Given,

  • f(x) = -3x
  • g(x) = 2x - 1

Now,we need to find 4g(x) - f(x). We will simply substitute the given value of polynomials to get the answer.

4g(x) - f(x)

4(2x - 1) - ( - 3x)

Opening the parentheses,

8x - 4 + 3x

Now combing the like terms, and adding them,

8x + 3x - 4

\boxed{11x - 4}

This is our final result.

#CarryOnLearning

<u>━━━━━━━━━━━━━━━━━━━━</u>

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Answer:

no

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3 years ago
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A water dispenser has a capacity of 20,000 milliliters. Use the facts to find how much this is in liters .
laila [671]
Answer:

The water dispenser's capacity in liters is 20liters

Explanation:

Given:

A water dispenser capacity = 20,000milliliters

To find

the capacity of the water dispenser in liters

To determine the capacity in liters, we will convert the capacity in ml to liters using the conversion:

1000ml = 1 liter

let the capacity of the water dispenser in Liters = y

\begin{gathered} 1000ml\text{ = 1 L} \\ 20000ml\text{ = y} \\ cross\text{ multiply:} \\ y(1000)\text{ = 1\lparen20000\rparen} \\ 1000y\text{ = 20000} \end{gathered}\begin{gathered} divide\text{ both sides by 1000:} \\ y\text{ = }\frac{20000}{1000} \\ y\text{ = 20} \end{gathered}

The water dispenser's capacity in liters is 20liters

5 0
1 year ago
Simplify. x + y - 0 x 2 - y 2
dusya [7]

Answer:

-y^(2)+x+y

Step-by-step explanation:

3 0
3 years ago
Which two values of X are roots of the polynomial below 4x^2-6x+1
PtichkaEL [24]

4x^2-6x+1=0\\\\a=4,\ b=-6,\ c=1\\\\\Delta=b^2-4ac\\\\\Delta=(-6)^2-4(4)(1)=36-16=20\\\\\sqrt\Delta=\sqrt{20}=\sqrt{4\cdot5}=\sqrt4\cdot\sqrt5=2\sqrt5\\\\x_1=\dfrac{-b-\sqrt\Delta}{2a},\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\x_1=\dfrac{-(-6)-2\sqrt5}{2\cdot4}=\dfrac{3-\sqrt5}{4}\\\\x_2=\dfrac{-(-6)+2\sqrt5}{2\cdot4}=\dfrac{3+\sqrt5}{4}

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3 years ago
In converting 9 inches to yards, what unit (omit the number) would you place
Anna35 [415]

Answer:

<u>9 inches are 1/4 or 0.25 yards and we used inches in the numerator and yards in the denominator for our ratio.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

1 yard = 36 inches

2. In converting 9 inches to yards, what unit (omit the number) would you place  in the numerator of your ratio?

This is the ratio for calculating the answer:

36/1 = 9/x

36x = 9 *1

36x = 9

x = 9/36

x = 1/4 or 0.25 yards

<u>9 inches are 1/4 or 0.25 yards and we used inches in the numerator and yards in the denominator for our ratio.</u>

7 0
3 years ago
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