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JulijaS [17]
3 years ago
6

Draw the image of △ABC under a translation by 1 unit to the left and 5 units up.

Mathematics
2 answers:
neonofarm [45]3 years ago
6 0
On all points a,b,c move one unit to the left and five units up and draw a dot where it ends. then connect all 3 points to get the translation
Helga [31]3 years ago
4 0

Here’s a crude drawing of what a translation should look like, in case if you want to know.

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Multiplication and division word problems
zubka84 [21]

Answer:

just divide 228 and 6

Step-by-step explanation:

228 divided by 6 is 76

8 0
2 years ago
20. If a certain linear function f(x) is evaluated at 0, the answer is 4.
bija089 [108]

Answer:

y = (1/3)x + 4

Step-by-step explanation:

Two points on this line are (0, 4) and (3, 5).

As we move from the first point to the second, x increases by 3 and y increases by 1.  Thus, the slope, m, of the line is m = rise / run = 1/3.

Use the slope-intercept equation:  y = mx + b.

If we use the data from the point (0, 4), we get:

4 = (1/3)(0) + b, so that b = 4.  The desired equation is y = (1/3)x + 4.

7 0
3 years ago
Does the table below represent a proportional<br> relationship? Show your work to prove
dolphi86 [110]

Answer:

the table does represent a propor. rela. since y=12x

you can multiply the x values by 12 and that y value will be just that, and in this case, all of them are multiplied by 12.

7 0
2 years ago
6. If the net investment function is given by
Pachacha [2.7K]

The capital formation of the investment function over a given period is the

accumulated  capital for the period.

  • (a) The capital formation from the end of the second year to the end of the fifth year is approximately <u>298.87</u>.

  • (b) The number of years before the capital stock exceeds $100,000 is approximately <u>46.15 years</u>.

Reasons:

(a) The given investment function is presented as follows;

I(t) = 100 \cdot e^{0.1 \cdot t}

(a) The capital formation is given as follows;

\displaystyle Capital = \int\limits {100 \cdot e^{0.1 \cdot t}} \, dt =1000 \cdot  e^{0.1 \cdot t}} + C

From the end of the second year to the end of the fifth year, we have;

The end of the second year can be taken as the beginning of the third year.

Therefore,  for the three years; Year 3, year 4, and year 5, we have;

\displaystyle Capital = \int\limits^5_3 {100 \cdot e^{0.1 \cdot t}} \, dt \approx 298.87

The capital formation from the end of the second year to the end of the fifth year, C ≈ 298.87

(b) When the capital stock exceeds $100,000, we have;

\displaystyle  \mathbf{\left[1000 \cdot  e^{0.1 \cdot t}} + C \right]^t_0} = 100,000

Which gives;

\displaystyle 1000 \cdot  e^{0.1 \cdot t}} - 1000 = 100,000

\displaystyle \mathbf{1000 \cdot  e^{0.1 \cdot t}}} = 100,000 + 1000 = 101,000

\displaystyle e^{0.1 \cdot t}} = 101

\displaystyle t = \frac{ln(101)}{0.1} \approx 46.15

The number of years before the capital stock exceeds $100,000 ≈ <u>46.15 years</u>.

Learn more investment function here:

brainly.com/question/25300925

6 0
2 years ago
7.003 x 10 to the power of 4
pishuonlain [190]
In scientific notation, just move the decimal point over however many numbers are in the power. 

In 7.003 • 10^4, move the decimal point over 4 places to the right, (or left if it's negative) making it 70,030
4 0
3 years ago
Read 2 more answers
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