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Effectus [21]
3 years ago
15

Write the equation in slope-intercept form. (2,-3) and (1,3)

Mathematics
1 answer:
Bess [88]3 years ago
8 0
The slope is y=-6x+9
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goblinko [34]
\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\:r=\frac{a_{n+1}}{a_n}

\frac{36}{6}=6,\:\quad \frac{216}{36}=6,\:\quad \frac{1296}{216}=6,\:\quad \frac{7776}{1296}=6

\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to} \ \textgreater \  r = 6

There is a bit more to the answer but it just explains a bit more that this question does not ask for.

Hope this helps!
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3 years ago
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Debora [2.8K]

Step-by-step explanation:

ImtypingasfastasIcanbecauseImnotusingspace

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3 years ago
In​ 1990, the average income for an American worker was​ $1,518 per month. In​ 2000, the average income for an American worker w
mario62 [17]

Answer:

Decreased

Step-by-step explanation:

-The rate of growth in food prices can be calculated using the compound interest formula as:

A=P(1+i)^t\\\\1402=657(1+i)^{10}\\\\(1+i)=(\frac{1402}{657})^{0.1}\\\\1+i=1.07874\\\\i=0.07874

We use the calculated growth rate in food prices to find the potential future value of a 90's income:

A=P(1+i)^n\\\\=1518(1.07874)^{10}\\\\=3239.21

#Compare this calculated value to the stated value:

3239.21>2632

Hence, the real value of income has decreased since it's less than it's future value over the 10-year period.

7 0
3 years ago
The polynomial equation x3+x2=-9x-9 has complex roots +-3i . What is the other root? Use a graphing calculator and a system of e
tresset_1 [31]
If the equation has roots of +-3i. The equation would be,
                                (x + 3i)(x - 3i) 
which is equal to x^2 - (3i)^2 = x^2 + 3. 
Using division either by synthetic or long method,
                                (x^3 + x^2 + 9x + 9)/(x^2 + 3) 
is equal to,
                                        x + 1 or x = -1
Thus, the answer is the second choice. 
8 0
3 years ago
Read 2 more answers
The Ship It Anywhere Company bought a truck for $245,000. According to the company’s accounting department, the truck will depre
Svetradugi [14.3K]

Answer:

1. V(t) = -32500t + 245000

a. The slope of the function is m = -32500, and it means the change in the value of V(t) for each unitary change in the value of t.

b. The V-intercept is b = 245000, and it means the value of V(t) when t = 0, that is, the inicial value of V(t).

c. The formula is: V(t) = -32500t + 245000

2. t-intercept: t = 7.5385

The t-intercept means when the function V(t) will be zero, that is, the truck has no value anymore.

3. Graph in the image attached.

4. The domain is t = [0, 7.5385] and the range is V(t) = [245000, 0].

5. V(8) = -15000

It means the price the truck will have after 8 years. It does not make sense, because the truck can't have a negative price.

6. After 3.6 years.

7. Between 3.23 years and 5.63 years.

Step-by-step explanation:

1.

The inicial value is 245,000, and each year the value decreases 32,500, so we can write the equation:

V(t) = -32500t + 245000

a. The slope of the function is m = -32500, and it means the change in the value of V(t) for each unitary change in the value of t.

b. The V-intercept is b = 245000, and it means the value of V(t) when t = 0, that is, the inicial value of V(t).

c. The formula is: V(t) = -32500t + 245000

2.

To find the t-intercept we just need to use V(t) = 0 and then find the value of t:

0 = -32500t + 245000

32500t = 245000

t = 7.5385

The t-intercept means when the function V(t) will be zero, that is, the truck has no value anymore.

3.

The graph of the function is in the image attached.

4.

The domain is t = [0, 7.5385] and the range is V(t) = [245000, 0].

5.

V(8) = -32500*8 + 245000 = -15000

It means the price the truck will have after 8 years. It does not make sense, because the truck can't have a negative price.

6.

128000 = -32500t + 245000

32500t = 117000

t = 3.6

After 3.6 years.

7.

62000 = -32500t + 245000

32500t = 183000

t = 5.6308

140000 = -32500t + 245000

32500t = 105000

t = 3.2308

Between 3.23 years and 5.63 years.

5 0
3 years ago
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