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AysviL [449]
3 years ago
9

Find a polynomial, which, when added to the polynomial 5x^2–3x–9, is equivalent to:

Mathematics
1 answer:
djyliett [7]3 years ago
8 0
So you need to turn 5x^2 -3x -9 into 2x - 3. 

Well first you need  to take 5x^2 out by subtracting 5x^2 (-5x^2). 

Then -3x needs to become 2x by adding 5x (+5x). 

Finally -9 needs to become -3 by adding 6 (+6).

Put all the things you did together to make a polynomial.
-5x^2 + 5x + 6
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Will the given side lengths form a right triangle?<br><br> 1, 2, 5
jek_recluse [69]

Step-by-step explanation:

For 3 side lengths of a triangle to form a right triangle, the sum of the squares of the 2 smaller side lengths must be equal to the square of the largest side. (a² + b² = c²)

Since 1² + 2² =/= 5², (5 =/= 25)

it will not form a right triangle.

Another Explanation:

Since 5 > 1 + 2, the sum of the 2 smaller side lengths is less than the largest side. Hence it will not form a triangle => not form a right triangle.

3 0
3 years ago
Jay is letting her bread dough rise. After three hours, her bread dough is 11/5 of its original size.
mojhsa [17]

Answer:

original size of Jay's bread dough is raised to 220%

Step-by-step explanation:

Let 1 be the original size of the bread

her bread dough is 11/5 of its original size.

1* \frac{11}{5} = 2.2

The original size of the bread is raised to 2.2

To get percentage we multiply by 100

2.2*100 = 220%

original size of Jay's bread dough is raised to 220%


3 0
3 years ago
5. Prove the conditional by proving the contrapositive:
Sunny_sXe [5.5K]

Answer + Step-by-step explanation:

<u>the conditional statement</u> :

For two positive integers n and m,

nm = 4 ⇒  (n = 1  or  m = 1)  or  (n=m= 2)

<u>the contrapositive</u>:

(n ≠ 1  and  m ≠ 1)  and  (n ≠ 2 or m ≠ 2) ⇒ nm ≠ 4

<u>Prove the conditional by proving the contrapositive</u> :

Suppose

m ≠ 1

and m ≠ 2

and n ≠ 1

⇒ nm ≠ 1 × n  and  nm ≠ 2 × n  and n ≠ 1

⇒ nm ≠ 4  (because 4 = 4 × 1 or 4 = 2 × 2)

<u>Conclusion</u>:

The contrapositive is true then conditional is true.

3 0
2 years ago
If 4/5 = 4x1/5, then 5/12 =_ x what over what?
Naya [18.7K]

Answer:

(5 × 1) / 12

Step-by-step explanation:

6 0
4 years ago
Potatoes - Samples: Assume the weights of Farmer Carl's potatoes are normally distributed with a mean of 7.0 ounces and a standa
Vilka [71]

Solution :

Given that : mean, μ = 7, standard deviation, σ = 1.2

Therefore, the mean potato weight in the bag of 6 is

$\bar{x} = \frac{36}{6}$

  = 6 ounces.

Here we have μ = 7, σ = 1.2, n = 6

So, z-score for $\bar{x} = 6 $ is

$z=\frac{\bar{x}-\mu}{\sigma/ \sqrt n}$

   = $\frac{6-7}{1.2/\sqrt6}  = -2.04$

6 0
3 years ago
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