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dolphi86 [110]
2 years ago
12

Hurry ASAP!!!!! I only need help with number 6 please explain how you get the answer to! The instructions for his equation is: s

ubtract by changing the signs of the subtrahend and combining as in addition!

Mathematics
1 answer:
SVETLANKA909090 [29]2 years ago
5 0

Answer:

-ax + 6by + 10

Step-by-step explanation:

(2ax + 3by + 5) - (3ax - 3by - 5)

Subtrahend is the value AFTER the subtraction sign.  So in this example the subtrahends enclosed in the 2nd bracket are 3by and 5.

So subtracting by changing the signs of the subtrahends:

= 2ax + 3by + 5 - 3ax + 3by + 5

Collecting like terms:

= 2ax - 3ax + 3by + 3by + 5 + 5

Combining like terms:

= -ax + 6by + 10

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Can someone explain what geometric sequences are?
Fed [463]

Explanation:

A sequence is a list of numbers.

A <em>geometric</em> sequence is a list of numbers such that the ratio of each number to the one before it is the same. The common ratio can be any non-zero value.

<u>Examples</u>

  • 1, 2, 4, 8, ... common ratio is 2
  • 27, 9, 3, 1, ... common ratio is 1/3
  • 6, -24, 96, -384, ... common ratio is -4

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<u>General Term</u>

Terms of a sequence are numbered starting with 1. We sometimes use the symbol a(n) or an to refer to the n-th term. The general term of a geometric sequence, a(n), can be described by the formula ...

  a(n) = a(1)×r^(n-1) . . . . . n-th term of a geometric sequence

where a(1) is the first term, and r is the common ratio. The above example sequences have the formulas ...

  • a(n) = 2^(n -1)
  • a(n) = 27×(1/3)^(n -1)
  • a(n) = 6×(-4)^(n -1)

You can see that these formulas are exponential in nature.

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<u>Sum of Terms</u>

Another useful formula for geometric sequences is the formula for the sum of n terms.

  S(n) = a(1)×(r^n -1)/(r -1) . . . . . sum of n terms of a geometric sequence

When |r| < 1, the sum converges as n approaches infinity. The infinite sum is ...

  S = a(1)/(1-r)

8 0
3 years ago
The equation h(t)=−16t2+19t+110 gives the height of a rock, in feet, t seconds after it is thrown from a cliff. What is the init
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Did you ever get this answer?? I really need it

4 0
3 years ago
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Lisa took out a loan for 5 months and was charged simple interest at an annual rate of 4.8%.
denis-greek [22]

Answer:

<em>Lisa borrowed $8,500</em>

Step-by-step explanation:

<u>Simple Interest </u>

Occurs when the interest is calculated on the original principal of a loan only.

Unlike compound interest where the interest earned in the compounding periods is added to the old principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=Prt

Where:

I = Interest

P = initial principal balance

r = interest rate

t = time

Lisa took out a loan for t=5 months and was charged simple interest at an annual rate of r=4.8% = 0.048. She paid interest for I=$170.

We need to convert the time to years (there are 12 months per year):

t = 5 /12 years.

The formula must be solved for P:

\displaystyle P=\frac{I}{rt}

Substituting:

\displaystyle P=\frac{170}{0.048*5/12}

\displaystyle P=\frac{170}{0.02}=8,500

Lisa borrowed $8,500

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2 years ago
Need help asap!! first gets brainliest
Evgen [1.6K]

Answer:

-45

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

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A 14.4-inch poster is ruled in 9 columns of equal width. How wide is each column?
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14.4 inches / 9 = 1.6 inches

Each column is 1.6 in wide

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