All categories

3 years ago

Write a two column proof. Given: 7y=8x-14 ; y=6 Prove: x=7

2 answers:

8 0

7y = 8x - 14

7y= 7(6) Reason : Given

7y = 42

8x -14 = 42 Reason: Because 8x - 14 equals to 7y

8x = 42 + 14 Reason : Because we flip 14 on to the other side of the equation thus it becomes opposute of what it was.

8x = 56

× = 7

Proven

ryzh [129]3 years ago

6 0

Given - 7y=8x-14 : y=6

Substitution Property - 7(6)=8x-14

Distributive Property - 8x-14=42

Addition Property - 8x=56

Division Property - x=7

You might be interested in

3) Lane and Zack purchased a house for $245,000 in 2016. The house loses 4% of its value each year,

kherson [118]

Answer:

In 2030 Lane & Zack's house be worth $65,739.27.

Step-by-step explanation:

Here, as we know The value of property = $245,000

Rate of depreciation = 4% of its present value

Time = From 2016 to 2030 = 14 years

Now, here: Amount depreciated = -( COMPOUND INTEREST on the value)

Step 1: CALCULATE THE COMPOUND INTEREST on P = $245,000

$A = P(1 + \frac{r}{100} )^t\\\implies A = (245,000)(1 + \frac{4}{100} )^{14} = (245,000)(1 + \frac{4}{100} )^{14}\\=245,000 (\frac{104}{100} )^{14} = 424,260.73$

or, AMOUNT = $424,260.73

Now, AMOUNT = Compound I + Principal

⇒Compound I = A - P = $424,260.73 - $245,000 =$ 179,260

So, the amount of the house by which house depreciates = $ 179,260

⇒The depreciated value = Actual Value - The depreciated amount

= $245,000 - 179,260 = $65,739.27

Hence, in 2030 Lane & Zack's house be worth $65,739.27.

4 0

3 years ago

If <4=<6 then ____=____

Aleonysh [2.5K]

Answer: #2 CD=CA

Step-by-step explanation:

So sorry if wrong but i think it may be right.

GOOD LUCK!!

4 0

3 years ago

The advertising and sales model of a company is given by the function S = 2t2 + 100, where t is time in months and t ≥ 0. If adv

Vikentia [17]

Answer:

The transformation will occur to this model by shifting along the x-axis.

Step-by-step explanation:

The advertising and sales model of a company is given by the function $S = 2t^{2} + 100$ , where t is the time in months and t ≥ 0.

Now, if advertising is delayed by a month, then the x-variable i.e. t will have values added with 1.

Therefore, the transformation will occur to this model by shifting along the x-axis. (Answer)

7 0

3 years ago

Evaluate the following. d/dx(10^x + e^2)

polet [3.4K]

d/dx[10x+e2]
=d/dx[10x]+d/dx[e2}
=ln(10)⋅10x+0
=ln(10)⋅10x

4 0

3 years ago

Read 2 more answers

Find the aspect ratio of a computer screen that measures 12 inches by 16 inches.

alexdok [17]

Answer:

3:4

Step-by-step explanation:

That ratio would be 12:16, or 3:4.

8 0

3 years ago