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3 years ago

Is the sequence -2, -10, -50, -250 arithmetic?

Mathematics

1 answer:

Elena L [17]3 years ago

7 0

This is not an arithmetic sequence.

It does not go up or down by the same amount each time.

It is a geometric sequence

it is multiplied by 5 each time

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Brian correctly use a method of completing the square to solve the equation X a 2nd plus 7X -11 equals zero Brian‘s first step w

ArbitrLikvidat [17]

Answer:

$(\frac{7}{2})^{2}$

Step-by-step explanation:

Brain correctly use a method of completing the square to solve the equation:

$x^2+7x-11=0$

His First Step is to: Take the Constant Term to the Right Hand Side

$x^2+7x=11$

The Next Step Would be to:

Divide the Coefficient of x by 2
Square It
Add it to both Sides

In this case, the Coefficient of x = 7

Divided by 2 = $\frac{7}{2}$

Squaring It, we have: $(\frac{7}{2})^{2}$

It is this number $(\frac{7}{2})^{2}$ that is added to both sides in the manner below:

$x^2+7x+(\frac{7}{2})^{2}=11+(\frac{7}{2})^{2}$

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3 years ago

What is the area of this triangle?

Contact [7]

Answer: 43.5

Step-by-step explanation:

$A=\frac{1}{2}(8)(12)(\sin 65^{\circ}) \approx \boxed{43.5}$

6 0

2 years ago

if a 25 ft rope is cut into two sections with one section four times as long as the other section, how long is the shorter piece

grin007 [14]

3.125 ft long or 3.13 ft long

3 0

2 years ago

Read 2 more answers

Madison wants to buy a new iPhone. The regular price is $989. Apple is offering a 15% discount and a sales tax of 7% is added af

Rzqust [24]

Answer: $899.50

Step-by-step explanation:

6 0

2 years ago

a woman has $28,000. part is invested for one year in a certificate of deposit paying 7% interest, and the remaining amount in c

alexira [117]

Answer:

Amount invested at 7% = 16000

Amount invested at 9% = 12000

Step-by-step explanation:

Let x be the amount invested at 7% and y be the amount invested at 9%.

Since the total amount invested is $28000, therefore, we can set up the first equation as:

$x+y=28000$

Secondly, we are give that sum of two investments is $2200. Therefore, we can write the second equation as:

$0.07x+0.09y=2200$

Now we need to solve these two equations to get the values of x and y.

First of all, we multiply the second equation with 100 in order to get rid of decimal values.

$(0.07x+0.09y)*100=2200*100\\7x+9y=220000$

Let us use substitution method here. First of all we will solve for y from first equation and plug that into second equation.

$y=28000-x$

$7x+9(28000-x)=220000\\7x+252000-9x=220000\\-2x=-32000\\x=16000$

Therefore, amount invested at 7% is $16000 and amount invested at 9% is 28000-16000=$12000.

7 0

2 years ago