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dybincka [34]
3 years ago
6

The seventh term of the sequence -2, -6, -10, -14, ... is _____. -26 -24 -22 -20

Mathematics
1 answer:
Anestetic [448]3 years ago
7 0
We'll it keeps on subtracting by 4 to get each number.

-2,-6,-10,-14,-18,-22,-26.

Negative 26 is your answer. Hope this helped!
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Solve the following system of equations using substitution.<br><br> 4x + 2y = 12<br> x = y + 3
BigorU [14]

Answer:

x = 3

y = 0

Step-by-step explanation:

The method of substitution is when one solves an equation for one of the variables, and then substitutes the expression into the other equation. After doing so, one will solve the other equation for the remaining variable and then backsolve for the first variable.

4x + 2y = 12

x = y + 3

The second equation is already sovled for parameter (x), subttiute this into the other equation,

4(y + 3) + 2y = 12

Distribute,

4y + 12 + 2y = 12

Simplify,

6y + 12 = 12

Inverse operations,

6y + 12 = 12

-12

6y = 0

/6

y = 0

Backsolve for (x), substitute the value of (y) into the equation for (x) and solve,

x = y + 3

x = 0 + 3

x = 3

4 0
3 years ago
Read 2 more answers
Nina and Cindy went to the early show. Tickets were $3.00 each. They shared a jumbo popcorn for $4.50 and each girl bought a sma
AlexFokin [52]

Answer:

$18.50

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please help ! :0 <br><br> -17 = 2y/3 + 3y/4
VashaNatasha [74]
Hi,

Equation;

- 17 =  \frac{2y}{3}  +  \frac{3y}{4}

Solving:

- 17 =  \frac{2y}{3}  +  \frac{3y}{4}    \:  \:  \:  |  \div 12 \\  - 204 = 8y + 9y \\  - 204 = 17y \\ 17y =  - 204  \:  \:  \:  |  \div 17 \\  \\ y =  - 12 \:  \:  \:  \:  \:  \:  \:  \: (result)

Hope this helps.
r3t40
6 0
3 years ago
Mark the statement either true (in all cases) or false (for at least one example). If false, construct a specific example to sho
LUCKY_DIMON [66]

Answer with Step-by-step explanation:

We are given that v_1,v_2,..,v_4 are in R^4 and v_1,v_2,v_3 is linearly dependent then {v_1,v_2,v_3,v_4}[/tex] is also linearly dependent.

We have to find that given statement is true or false.

Dependent vectors:Dependent vectors are those vectors in which atleast one vector is  a linear combination of other given vectors.

Or If we have vectors x_1,x_2,....x_n

Then their linear combination

a_1x_1+a_2x_2+.....+a_nx_n=0

There exist at least one scalar which is not zero.

If v_1,v_2,v_3 are dependent vectors then

a_1v_1+a_2v_2+a_3v_3=0 for scalars a_1,a_2,a_3

Then , by definition of dependent  vectors

There exist a vector which is not equal to zero

If vector v_3 is a linear combination of v_1\;and \;v_2, So at least one of vectors in the set is a linear combination of others and the set is linearly dependent.

Hence, by definition of dependent vectors

{v_1,v_2,v_3,v_4} is linearly dependent.

Option B is true.

8 0
3 years ago
A building with a cost of $1,800,000 has an estimated residual value of $125,000, has an estimated useful life of 40 years, and
nika2105 [10]

Answer:

$41,875

<u>Extra</u>

a. $17,250 [($780,000 – $90,000) ÷ 40]

b. $366,000 [$780,000 – ($17,250 × 24 yrs.)]

c. $29,600 [($366,000 – $70,000) ÷ 10 yrs.]

Step-by-step explanation:

Step 1: Determine the cost of the asset

1,800,000

Step 2: Subtract the estimated salvage value of the asset from the cost of the asset to get the total depreciable amount

1,800,000 - 125,000

Step 3: Determine the useful life of the asset

40

Step 4: Divide the sum of step (2) by the number arrived at in step (3) to get the annual depreciation amount

$41,875

5 0
3 years ago
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