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Sergio [31]
2 years ago
5

Find the component form for vector AB given the initial point A (1, 7, -9) and terminal point B (-2, 18, 4).

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

To find each of the components of AB we can find the different between the components on the terminal and initial points, doing that, we find:

AB = (-2 - 1, 18 -7, 4 - (-9)) = (-3, 11, 13).

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Which is the completely factored form of 12x3 – 60x2 + 4x – 20?
Natalija [7]

Answer:

4(x-5)(3{x}^{2}+1)

Step-by-step explanation:

1) Find the Greatest Common Factor (GCF).

1 - What is the largest number that divides evenly into 12x^3,-60x^2,4x, and -20 ?

It is 4.

2 - What is the highest degree of x that divides evenly into 12x^3,-60x^2,4x, and -20 ?

It is 1, since x is not in every term.

3 - Multiplying the results above,

The GCF is 4.

2)  Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

4(\frac{12{x}^{3}}{4}+\frac{-60{x}^{2}}{4}+\frac{4x}{4}-\frac{20}{4})

3) Simplify each term in parentheses.

4(3{x}^{3}-15{x}^{2}+x-5)

4) Factor out common terms in the first two terms, then in the last two terms.

4(3{x}^{2}(x-5)+(x-5))

5)  Factor out the common term x-5.

4(x-5)(3{x}^{2}+1)

5 0
1 year ago
Carlos has 4/5 of a tank of fuel In his car. he uses 1/10 of a tank per day. How many days will his fuel last?
damaskus [11]

Answer:

8 days

Step-by-step explanation:

4/5= 8/10

8 0
3 years ago
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Montano1993 [528]

Answer:

is it possible to draw a 2cm, 3cm and a 4cm triangle

3 0
2 years ago
Read 2 more answers
Using a table of values, determine the solution to the equation below to the nearest fourth of a unit. 2^x=1-3^x
Greeley [361]

Answer:

Option (1)

Step-by-step explanation:

Given equation is,

2^x=1-3^x

To determine the solution of the equation we will substitute the values of 'x' given in the options,

Option (1)

For x = -0.75

2^{-0.75}=1-3^{-0.75}

0.59 = 1 - 0.44

0.59 = 0.56

Since, values on both the sides are approximately same.

Therefore, x = -0.75 will be the answer.

Option (2)

For x = -1.25

2^{-1.25}=1-3^{-1.25}

0.42 = 1 - 0.25

0.42 = 0.75

Which is not true.

Therefore, x = -1.25 is not the answer.

Option (3)

For x = 0.75

2^{0.75}=1-3^{0.75}

1.68 = 1 - 2.28

1.68 = -1.28

Which is not true.

Therefore, x = 0.75 is not the answer.

Option (4)

For x = 1.25

2^{1.25}=1-3^{1.25}

2.38 = 1 - 3.95

2.38 = -2.95

It's not true.

Therefore, x = 1.25 is not the answer.

6 0
3 years ago
What is the range of the function f(x) =4x-1 when the domain is -3 ,0,4 ?
dedylja [7]

Answer:

The range of this function is {-13, -1, 15}.

Step-by-step explanation:

Evaluate f(x) = 4x - 1 at {-3, 0, 4}:

f(-3) = -13

f(0) = -1

f(4) = 15

The range of this function is {-13, -1, 15}.

3 0
3 years ago
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