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Deffense [45]
3 years ago
8

Ahmed is solving the following equation for xxx.

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
7 0

Answer:

No

Step-by-step explanation:

An extraneous solution is a root of a transformed equation which is not a root of the original equation because it was not included in the domain of the original equation.

Ahmed is solving 2\sqrt[3]{x-7}+11=3 for x.

His steps were:

\begin{aligned}2\sqrt[3]{x-7}&=-8\\  \sqrt[3]{x-7}&=-4\\  \left(\sqrt[3]{x-7}\right)^3&=(-4)^3\\  x-7&=-64 \end{aligned}

Since cube roots <u>do not give two solutions when solved</u>, it is <u>not necessary </u>to check his answers for extraneous solutions.

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The distance d (in feet) that it
Marta_Voda [28]

Answer:

40 mph

Step-by-step explanation:

To find the maximum speed at which the car can travel, as the distance it requires to stop is 168 feet, we just need to use the value of d = 168 in the equation, and then find the value of s:

168 = 0.05s^2 + 2.2s

0.05s^2 + 2.2s - 168 = 0

Using Bhaskara's formula: we have:

Delta = 2.2^2 + 4*0.05*168 = 38.44

sqrt(Delta) = 6.2

s1 = (-2.2 + 6.2)/0.1 = 40 mph

s2 = (-2.2 - 6.2)/0.1 = -84 mph (a negative value does not make sense as 's' is the speed of the car)

So the maximum speed of the car is 40 mph

3 0
3 years ago
Victor is going to send some flowers to his wife. Dayton Florist charges $3 per rose, plus $12 for the vase. Tammy's Flowers, in
s344n2d4d5 [400]

Answer: the costs would be the same if he orders 29 rose flowers.

Step-by-step explanation:

Let x represent the number of roses that Victor would order such that the cost will be the same with either flower shop.

Dayton Florist charges $3 per rose, plus $12 for the vase. This means that if he orders x rose flowers, the total amount that he would pay is

3x + 12

Tammy's Flowers, in contrast, charges $2 per rose and $41 for the vase. This means that if he orders x rose flowers, the total amount that he would pay is 2x + 41

For the costs to be the same, the number of rose flowers that he orders would be

3x + 12 = 2x + 41

3x - 2x = 41 - 12

x = 29

4 0
3 years ago
Help math question please !
Verdich [7]
Find the area of the rectangle (bh) and then the area of half of the circle (pi times r (squared)) then divide it by two and subtract the half circle area from the rectangle area

8 0
3 years ago
The perimeter of an isosceles triangle is 23 cm. The base is 4 cm less than one of the equal sides. Find the length of each side
creativ13 [48]
Since it is an isos. triangle we know that both sides are equal
Let's let the base=b and the legs =L
We know that B=L-4
And L-4+L+L=23
3L-4=23
3L=27
L=9
Hope this helps! :)
Let me know if you have any questions!

6 0
3 years ago
Mary decreased her time for the mile walk from 30 minutes to 24 minutes. What was the percent of decrease?
I am Lyosha [343]

Answer:

20%

Step-by-step explanation:

Formula:

((GreaterTime-LeastTime)/Greatertime)x100= Percentage of Decrease.

((30-24)/30)*100=percent of decrease.

(6/30)*100=percent of decrease.

0.2*100= percent of decrease.

20%.

Hope this helps you :D

6 0
3 years ago
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