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Kitty [74]
3 years ago
12

Determine

Mathematics
1 answer:
mihalych1998 [28]3 years ago
8 0

Answer:

=4.+2.

Step-by-step explanation:

<u>Linear Combination Of Vectors </u>

One vector \vec b is a linear combination of \vec a_1 and \vec a_2 if there are two scalars x_1, x_2 such as

\vec b=x_1\vec a_1+x_2\vec a_2

In our case, all the vectors are given in R^3 but there are only two possible components for the linear combination. This indicates that only two conditions can be used to determine both scalars, and the other condition must be satisfied once the scalars are found.

We have

\vec a_1=,\ \vec a2=,\ \vec b=

We set the equation

=x_1.+x_2.

Multiplying both scalars by the vectors

=+

Equating each coordinate, we get

4x_1-4x_2=8

5x_1+3x_2=26

-4x_1+3x_2=-10

Adding the first and the third equations:

-x_2=-2

x_2=2

Replacing in the first equation

4x_1-4(2)=8

4x_1=8+8

x_1=4

We must test if those values make the second equation become an identity

5(4)+3(2)=20+6=26

The second equation complies with the values of x_1 and x_2, so the solution is

=4.+2.

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meaning
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3x+7 = x + 25
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plug what we found into the expressions
3x + 7 
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68

The length of VX is 68.
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Hope this helps
8 0
3 years ago
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Vadim26 [7]
The equation is already set up for you. All you need to do is solve for x, the number of hours.

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7 0
3 years ago
You deposit $2700 in an account that earns simple interest. After 12 months, the account earns $64.80 in interest, what is the a
Masja [62]

Answer:$4449.6.

Step-by-step explanation:

You deposit $2700 into a bank account paying 64.8% simple interest per year. You left the money in for 1 year. Find the interest earned and the amount at the end of those 1 year?

Result:

The interest is $1749.6 and the amount is $4449.6.

Explanation:

STEP 1: Find an interest by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.

In this examplee P = $2700, i = 64.8% and t = 1 years, so

 

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5 0
2 years ago
Use synthetic division to solve (x3 + 1) ÷ (x – 1). What is the quotient?
mamaluj [8]
Steps:

Use the divisor and find x :
x - 1 = 0  **add 1
x= 1
Now we will use the 1 in dividing:

take the coefficients from in front of all terms
   ** make sure you include 0's for x^2 and x since you have to have all terms

set it up with a 1 in a box:

1|  1   0   0  1   **bring the first number down
____________
     1                    **multiply the boxed number by the first number and add it                                 to the second number

1|  1   0   0  1   
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1|  1   0    0    1
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**when you're done, use the new numbers to write an equation starting with a term with a degree one less than the previous equation.
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final answer:
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4 0
3 years ago
Read 2 more answers
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Mrrafil [7]

Answer:

(x + 2)^2 - 1

Step-by-step explanation:

x^2 + 4x + 1

= (x^2 + 4x + 2 - 2 + 1)

= (x + 2)^2 - 1

3 0
2 years ago
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