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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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Rationalise: <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B48%7D%20%7D%7B%5Csqrt%7B3%7D%20%7D" id="TexFormula1" title="\
Hoochie [10]

Answer:

4

Step-by-step explanation:

Root(48)/Root(3)

= root(48/3)

= root(16)

=4

7 0
3 years ago
Read 2 more answers
Jenna is drawing a sketch of her room. The room is 15 feet long by 12 feet wide. The
SOVA2 [1]

Answer:

4 inches

Step-by-step explanation:

Actual dimensions:

Length = 15 feet

Width = 12 feet

Scale dimensions:

Length = 5 inches

Width = x inches

Write a proportion:

\dfrac{\text{Actual length}}{\text{Scale length}}=\dfrac{\text{Actual width}}{\text{Scale width}}\\ \\ \\\dfrac{15\ feet}{5\ inches}=\dfrac{12\ feet}{x\ inches}\\ \\x=\dfrac{5\ inches\times 12\ feet}{15\ feet}=4\ inches

3 0
3 years ago
Daniel, Clarence, and Matthew split a $20.20 dinner bill so that Daniel pays half of what
Bingel [31]

Answer:

8.80$

Step-by-step explanation:

Total 20.20. 6.06 x 2=12.12. 20.20-12.12=8.80$

Mathew paid 8.80$

Clarence paid 12.12$

Daniel paid 6.06$

7 0
3 years ago
A discount store takes 50% off of the retail price of a desk. For the store's holiday sale, it takes an additional 20% off of al
Serhud [2]

We are given the retail price of desk as $320. The store takes 50% off of the retail price of desk, then its price would become half of the original.

So its new price would be $160.

Now it says that it takes an additional 20% off of all furniture on store's holiday sale. So we need to cut off 20% from new price $160.

Holiday discount = 20% of $160 = 0.2 × 160 = 32.

Final selling price would be = $160 - $32 = $128.

So $128 is the final answer.

3 0
3 years ago
Read 2 more answers
Find the measure of 26.<br> 4 6 = [?]<br> 249<br> 46
Basile [38]

ANSWER:

We know that the sum of angles of same sides in parallel lines are supplementary(180°).

So, ∠6 + 24° = 180°

  • ∠6 = 180° - 24°
  • ∠6 = 156°.
7 0
3 years ago
Read 2 more answers
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