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s344n2d4d5 [400]
2 years ago
9

If f(x) = 3x^2 - 4x + 5 and g(x) = 2x^2 + 2, find f(x) – g(x). Answer: x^2 - 4x + 3

Mathematics
1 answer:
Nadusha1986 [10]2 years ago
5 0

Answer:

f(x) – g(x) = x^2 - 4x + 3

Step-by-step explanation:

f(x) = 3x^2 - 4x + 5 and g(x) = 2x^2 + 2,

f(x) – g(x) = 3x^2 - 4x + 5 - ( 2x^2 + 2)

Distribute the minus sign

f(x) – g(x) = 3x^2 - 4x + 5 - 2x^2 - 2

  Combine like terms

f(x) – g(x) = x^2 - 4x + 3

 

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A company manufactures two types of electric hedge trimmers, one of which is cordless. The cord-type trimmer requires 2 hours to
Delvig [45]

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

The inequalities that describe the constraints on the number of each type of hedge trimmer produced are:

x + y ≤ 200

2x + 10y ≤ 1000

<h3>What is inequality?</h3>

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Total number of hours = 1000

Total number of trimmers = 200

Let x represent the number of cord-type models,

Let y represent the number of cordless models.

Now,

x + y ≤ 200

2x + 10y ≤ 1000

Thus,

The inequalities that describe the constraints on the number of each type of hedge trimmer produced are:

x + y ≤ 200

2x + 10y ≤ 1000

Learn more about inequalities here:

brainly.com/question/20383699

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6 0
1 year ago
PRE CALCULUS
Mumz [18]
Start with the parent function f(x) = x³

Notice the function f(x) = (x - 4)³ that a value '4' is subtracted from 'x' ⇒ This means the function f(x) is translated four units to the right.

Then the function f(x) = ¹/₂ (x - 4)³, the function (x - 4)³ is halved vertically ⇒ Half the y-coordinate

Then the function f(x) = ¹/₂ (x - 4)³ + 5 that a value '5' is added to ¹/₂ (x - 4)³ ⇒ This means the function f(x)  is translated five units up

So the order of transformation that is happening to f(x) = x³ is translation four units to the right, half the y-coordinate, then translate 5 units up.

3 0
3 years ago
Leona answered all the questions on a test. She had 90% of them correct. There were 40 questions in all. How many did she have c
KengaRu [80]

Answer:

The answer is 36

Step-by-step explanation:

Let the number be <em>x</em>

x/40 is her mark

she got 90% mark correct

x/40 x 100 = 90

by cancellation we get 9 x 4 = 36

HOPE THIS HELPS

6 0
3 years ago
Help me please will be appreciated thx
alexandr1967 [171]

Answer:

-6 +8d -2c

Step-by-step explanation:

\frac{-2}{5} (15 -20d +5c) = \frac{-2}{5} \times 15 - \frac{-2}{5}\times20d +\frac{-2}{5}\times5c = -6 + 8d -2c

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Are two products the same when you multiply them horizontally?
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Answer:

Are the two products the same when you multiply them with the table method? Yes, the two products are the same when you multiply them with the table method.

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