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3 years ago

How can one 1/4x − 3 = 1/2x + 8 be set up as a system of equations?

1 answer:

3 0

You can set y = to each side of the equation, then multiply by the denominator and put into standard form.

Left side:
.. y = 1/4x -3
.. 4y = x -12 . . . . multiply by 4
.. 4y -x = -12 . . . subtract x

Right side:
.. y = 1/2x +8
.. 2y = x +16 . . . multiply by 2
.. 2y -x = 16 . . . subtract x

These equations correspond to selection B.

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You start driving south for 2 miles, turn left, and drive east for another 9 miles. At the end of driving, what is your straight

yulyashka [42]

Use the Pythagorean Theorem: .

So your straight line distance is 10.

We can also recognize this as a multiple of the 3-4-5 Pythagorean triple. We have , with x being the desired value. Therefore x=10, like previously.

4 0

3 years ago

Read 2 more answers

The first step in the process for factoring the trinomial x^2-3x-40 is to

jenyasd209 [6]

(x-8)(x+5)

First thing you do is put the X's into the parentheticals because it is x^2 meaning there are 2 factors with x's. Then, you wonder what factors of -40 could add to get -3. In this case, they are -8 and 5. -8 times 5 is -40 and -8 +5 is -3. Then, you just add -8 and 5 beside the x's in the parentheticals.

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3 years ago

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Directions for (1-5): Plot the following on a number line 0.75 1.5 -2 ¾ -3 ⅕ 6.8

lana [24]

Answer:

|---|--------|---------|------|---------|-|

-2 ¾ -3 ⅕ 0.75 1.5 6.8

(This is a rough answer, it mainly just shows the order).

Step-by-step explanation:

1. -2 ¾

2. -3 ⅕

3. 0.75

4. 1.5

5. 6.8

7 0

2 years ago

(2x1)+(2x4)=2x(?+?) what’s the ?

valina [46]

Answer:

Step-by-step explanation:

4 0

3 years ago

Madeline received $300 for her birthday. She deposits it into a savings account with an interest rate of 2.45%. She makes monthl

oee [108]

Answer:

b. $1,587.57

Step-by-step explanation:

A financial calculator will tell you the value of Madeline's account after 8 years will be $16,287.57. In that time, she will have deposited ...

$300 +96×150 = $14,700

The interest earned is the difference between her account balance and the amount she deposited:

$16,287.57 -14,700 = $1,587.57 . . . interest earned

_____

Account value calculation

The future value of the initial $300 deposit after 8 years is ...

A = P(1 +r/n)^(nt)

for principal P earning annual rate r compounded n times per year for t years.

A = $300(1 +0.0245/12)^(12·8) ≈ $364.89

The future value of the sum of $150 deposits monthly (at the beginning of the month) will be ...

A = $150((1+r/n)^(nt) -1)(1 +n/r) = $15,922.68

So, the total value of Madeline's account in 8 years is ...

$364.89 +15,922.68 = $16,287.57

_____

Comment on account value

In problems of this nature, it is always necessary to determine when the deposits are made relative to when the account value is measured. Here, we assume the $300 deposit is immediate, and its value is measured 8 years hence.

The monthly deposits are not described in that detail. In order to get any of the numbers in the answer list, we need to assume the deposits are at the beginning of the month. If we assume they are at the end of the month, the amount of interest is reduced by about $33.18, the last month's interest.

7 0

3 years ago