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olga nikolaevna [1]
3 years ago
9

At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?

Mathematics
1 answer:
Sauron [17]3 years ago
5 0

Answer:

x = -2

Step-by-step explanation:

The root will touch the axis and bounce off when the exponent is even. In that case, that means (x + 2)² is the binomial that will bounce. Therefore, the root which bounces and touches the x-axis is x = -2.

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HELP NEEDED ASAP<br> image below
xxTIMURxx [149]

The amount of pounds of vegetable needed in fractions to make the stew exactly 10 pounds is 3 3  / 8 pounds

<h3>How to solve fractions?</h3>

The amount of pounds of vegetable needed to make the stew exactly 10 pounds can be calculated as follows:

potatoes weight = 2 7 / 8 pounds = 23 / 8 pounds

green beans weight = 1 1 / 4 = 5 / 4 pounds

pepper weight = 2 1 / 2 = 5 / 2 pounds

Therefore,

weight needed = 10 - 23 / 8 - 5 / 4 - 5 / 2

weight needed = 80 - 23 - 10 - 20 / 8

weight needed = 80 - 53 / 8

weight needed = 27 / 8

weight needed in fractions to make the stew exactly 10 pounds = 3 3  / 8 pounds

learn more on fractions here: brainly.com/question/27894307

#SPJ1

8 0
2 years ago
If AB = 4 centimeters, which is closest to BC?
Misha Larkins [42]

Answer:

The correct answer AC = 11.52

Step-by-step explanation:

From the figure attached with this answer shows the triangle ABC.

BC=4 centimeters, m angle B=m angle c, and m angle a = 20 degrees

To find AC

From the figure we can see that D is the mid point and AD⊥BC

Then BD = CD = 4/2 = 2 cm

<BAD = 10° and <CAD = 10°

By using trigonometric ratio,

sin 10 = CD/AC = 2/AC

AC = 2/sin 10 = 2/0.1736 = 11.52

Therefore the value of AC = 11.52 cm

4 0
3 years ago
Read 2 more answers
One slice of cheese pizza contains 310 calories. A medium-size orange has one-fifth that number of calories. How many calories a
I am Lyosha [343]
The medium sized orange would have 62 calories. To divide by 1/5, which in decimal form is 0.2, you just multiply 310 by 0.2, therefore, giving you 62. Hope this helps! 
7 0
3 years ago
Read 2 more answers
Your parents decide to build a rectangular pool in your backyard. They determine that the length of the pool should be 15 feet l
damaskus [11]

Width = X

Length = X + 15

Perimeter of a Rectangle = 2W + 2L

2(X) + 2(X + 15)

2X + 2X + 30

4X + 30

Answer = 4X + 30

Hope this helps! :)

4 0
2 years ago
Someone help ASAP!!!!!!
Alchen [17]

Answer:

Length, l = 11 ft.

Width, w = 9 ft.

Step-by-step explanation:

From the given data, the area of the rectangle = 99 ft².

Area of the rectangle = Length, l X Width, w

Here, Length, l = 7 more than twice the width

⇒       Length, l = 7 + 2w

Therefore, Area, A = 99 = (7 + 2w)w

⇒ 99 = 7w + 2w²

⇒ 2w² + 7w - 99 = 0

Solve the Quadratic equation using the formula: x = $ \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $ for the quadratic equation ax² + bx + c = 0.

Therefore, w = $ \frac{-7 \pm \sqrt{7^2 -4(2)(-99)}}{2(2)} $

$ = \frac{-7 \pm \sqrt{49 + 8(99)}}{4} $

$ = \frac{-7 \pm + \sqrt{841}}{4} $

Since, $ \sqrt{841} = 29 $ we get:

$ w = \frac{-7 \pm 29}{4} $

This gives two values of 'w', viz., w = $ \frac{-7 - 29}{4} $, $ \frac{-7 + 29}{4} $

$ \implies w = \frac{22}{4}, \frac{-36}{4} $

⇒ w = $ \frac{22}{4} $, -9.

We take the integer values.

If w = -9, then l = 2(-9) + 7

⇒ l = - 18 + 7 = - 11

Therefore, the length, l of the rectangle = - 11 ft.

and the width, w of the rectangle = - 9 ft.

Hence, the answer.

3 0
3 years ago
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