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2 years ago

What is the y-value of the point that partitions the directed line segment into a 3 : 7 ratio?

Mathematics

1 answer:

Maurinko [17]2 years ago

3 0

The line segment is 10 units long, the point that divides it can be 3 up or 7 up from B.

Therefore, the y-value can be -1 or 3.

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The value of a certain car, in dollars, x years from its model year can be predicted by the function f(x)=12,000(0.89)x . The va

scZoUnD [109]

An exponential decay function is:

f=ir^t, f=final amount, i=initial amount, r=common ratio, t=number of times ratio is applied...We can see the initial value is 17000 so all we really have to find is the common ratio, or "rate" as some call it :P If we look at the second point, when t=1 we can see:

14280=17000r

r=357/425

r=0.84

So in five years the SUV will be worth more than the car by:

17000(0.84^5)-12000(0.89^5)

$408.73 (to the nearest cent)

5 0

2 years ago

Read 2 more answers

The Wallow Fire of 2011 burned 538,000 acres in eastern Arizona. a. If one square mile is 640 acres, how many square miles did t

balu736 [363]

a) The fire burnt 840.6 square miles

b) The fire burnt 16.8 tempe

Step-by-step explanation:

1 square mile = 640 acres

a) to find how many square miles did the fire burn:

Total area the fire burn = 538000 acres

1 square miles = 640 acres

Concert the acres into square miles

538000/ 640 = 840.6 square miles

The fire burnt 840.6 square miles

b) 50 square miles= 1 temperatures

The no. Of tempe the fire burn = 840.6/50

= 16.8 tempe

The fire burnt 16.8 tempe

4 0

2 years ago

Factor the polynomial completely x^2-x-20

Strike441 [17]

Answer:

(x − 5) (x + 4)

Step-by-step explanation:

x² − x − 20

Factor using AC method:

1 × -20 = -20

Factors of -20 that add up to -1: -5 and 4

Divide by 1 and reduce: -5/1 and 4/1

(x − 5) (x + 4)

5 0

3 years ago

Read 2 more answers

What is 8 × 1 + 3 × 0.1 + 9 × 0.01 in standard form

emmasim [6.3K]

Answer:

0.216

Step-by-step explanation:

$8 \times 1 \times 3 \times 0.1 \times 9 \times 0.01\\\\=(8\times1)(3\times0.1)(9\times0.01)\\\\=8(0.3)(0.09)\\\\=(8\times0.3)(0.09)\\\\=(2.4)(0.09)\\\\=2.4\times0.09\\\\=0.216$

is this the standard form?

5 0

3 years ago

Please answer this question i really want answers :(

vekshin1

Based on the hints of distinguishing between radical and non-radical numbers, we have the following lists:

$\sqrt{3}$ , $2.\overline{2}$ , 2.5, $\sqrt{5}$
3.01, $3.\overline{01}$ , $3.\overline{1}$ , $\sqrt{9}$
$-4.\overline{1}$ , - 4.1, 4.01, $\sqrt{17}$
- 2.5, $-\sqrt{5}$ , $\sqrt{6}$ , 2.5

<h3>How to order numbers from least to greatest</h3>

In this question we must order sets of numbers in ascending order. A hint consists in comparing non-radical numbers with the closest radical numbers whose results are integers.

In consequence, we obtain the following orders:

$\sqrt{3}$ , $2.\overline{2}$ , 2.5, $\sqrt{5}$
3.01, $3.\overline{01}$ , $3.\overline{1}$ , $\sqrt{9}$
$-4.\overline{1}$ , - 4.1, 4.01, $\sqrt{17}$
- 2.5, $-\sqrt{5}$ , $\sqrt{6}$ , 2.5

To learn more on sets: brainly.com/question/18877138

#SPJ1

3 0

2 years ago