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3 years ago

What is the quotient?

Mathematics

1 answer:

tangare [24]3 years ago

4 0

You could answer this question easily by applying synthetic division:
_______________
-5 / 4 14 -9
-20 30
---------------------------
4 -6 21

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Which triangles are similar by the angle-angle criterion for similarity of triangles ?

Alex Ar [27]

Answer:

Option D is correct.

$\triangle ADE \sim \triangle ABC$

Step-by-step explanation:

In triangle ADE and triangle ABC

From the figure:

$\angle ADE = \angle ABE$ [Angle] [Given]

$\angle DAE = \angle BAC$ [Angle]

AA(Angle-Angle) similarity criterion states that in two triangles if two pairs of corresponding angles are equal, then these triangle Similar.

By AA similarity:

⇒ $\triangle ADE \sim \triangle ABC$

5 0

3 years ago

The Demand function for a product is given by:

VikaD [51]

Answer:

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.

Step-by-step explanation:

Average rate of change:

The average rate of a function f(x) in an interval [a,b] is given by:

$A = \frac{f(b) - f(a)}{b - a}$

In this question:

$D(q) = -0.0003q^2 - 0.04q + 23.56$

What is the average rate of change of Demand between 40 and 175 units sold?

$a = 40, b = 175$ . So

$D(40) = -0.0003*40^2 - 0.04*40 + 23.56 = 21.48$

$D(175) = -0.0003*175^2 - 0.04*175 + 23.56 = 7.3725$

$A = \frac{f(b) - f(a)}{b - a} = \frac{7.3725 - 21.48}{175 - 40} = -0.1045$

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.

3 0

3 years ago

Jerry had $1,018.00 in savings. last week he spent $84.00 on a desk and $372.00 on a computer from his savings. this week at a p

liberstina [14]

Original balance $1,018.00
Desk cost -$84.00
Computer cost -$372.00
Savings from job +$44.00
Current balance = $606.00
Amount to be added to get original balance:
1018 - 606
= $412.00

3 0

3 years ago

Read 2 more answers

24=x^2−4x+3 completing the square

Mars2501 [29]

Answer:

-3,7

Step-by-step explanation:

See the Image below:)

8 0

3 years ago

Please help me with this problem. How do I find x?

inysia [295]

Assuming that is 2 right triangles sharing a side
height^2 = 20^2 -7^2
height^2 = 400 - 49
height^2 = 351
height = 18.7349939952 
x^2 = 24^2 - 18.7349939952^2
x^2 = 576 -351
x^2 = 225
x = 15

7 0

3 years ago