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Misha Larkins [42]
3 years ago
10

Find the remainder when f(x) is divided by (x - k). f(x) = 4x3 - 6x2 + 3x + 1; k= -2

Mathematics
2 answers:
laila [671]3 years ago
8 0
\frac{f(x)}{(x-k)}
\frac{4x^3-6x^2+3x+1}{(x+2)}
Using Long Division, pic below
Your remainder is -61

WITCHER [35]3 years ago
5 0
When f(x) is divided by (x - k). f(x) = 4x3 - 6x2 + 3x + 1; k= -2     f(x)______    when f(x) is divided by (x - k). f(x) = 4x3 - 6x2 + 3x + 1; k= -2     i-k     
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What is the y-intercept of the function described by the data in the table below? Xy -1 5 2 -7 5 -19
marysya [2.9K]

Answer:

46

Step-by-step explanation:because

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3 years ago
On the packaging for a triangular sail, the edge measurements for the sail are listed as 7 ft × 15 ft × 17 ft. Without unfurling
ASHA 777 [7]

Answer:

Shape of Triangular sail is Obtuse Angled Triangle.

Step-by-step explanation:

The triangle is obtuse since the sum of the squares of 2 sides are greater than the square of the third side. (Converse Pythagorean theorem) Hope this helps!

Given: Length of sides of triangular sail = 7 ft , 15 ft , 7 ft

To find: Shape of Sail .i.e., shape of triangle

We use a result which states that

if a , b  , c are sides of triangle where c is greater then a & b.

now, if c² < a² + b² then triangle is Acute angled

if c² = a² + b² then triangle is Right angled

if c² > a² + b² then triangle is Obtuse angled

here a = 7 , b = 7 &  c = 15

c² = 15² = 225

a² + b² = 7² + 7² = 49 + 49 = 98

since, c² > a² + b²

⇒ Triangle must be Obtuse Angled.

Therefore, Shape of Triangular sail is Obtuse Angled Triangle.

7 0
3 years ago
Read 2 more answers
If you triple a number and add 11 you get 200 what is the number
Dafna1 [17]
You can set up a simple algebraic equivalent to find a number equivalent to 200 after being multiplied by 3 and added 11 to.

3x+11=200
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Had to edit! Realized what I had done wrong
8 0
3 years ago
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Sergei buys a rectangular rug for his living room. He measures the diagonal of the rug to be 18 feet. The length of the rug is 3
ivanzaharov [21]

14.1 feet by 11.1 feet is the correct one

3 0
3 years ago
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What properties can be used to solve 7y-15=-29. Identity property of multiplication,addition property of equality ,distributive
Sveta_85 [38]

Answer:

Addition Property of Equality.

Inverse property of multiplication.

Step-by-step explanation:

Given the equation:

7y-15=-29

First of all, let us use Addition Property of Equality.

According to the property, if we add a number on both sides of an equality, there is no change in the equality.

In other words, the equality will be same if we add the same number on Left Hand Side and Right Hand Side of the equality.

First of all, let us add 15 on both sides of the equality:

7y-15+15=-29+15\\\Rightarrow 7y=-14

Now, let us Inverse property of multiplication.

i.e. Multiplication of a number with its inverse is equal to 1.

a\times \frac{1}{a} = 1

So, let us multiply the given equation with \frac{1}7

7y \times \dfrac{1}{7}=-14 \times \dfrac{1}{7}\\\Rightarrow 1y =-2\\\Rightarrow y=-2

The properties used are:

Addition Property of Equality.

Inverse property of multiplication.

7 0
3 years ago
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