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Nuetrik [128]
3 years ago
15

What are the roots of the polynomial equation? x2+11x−80=0

Mathematics
2 answers:
dolphi86 [110]3 years ago
5 0
The roots would be x=5,16
tino4ka555 [31]3 years ago
5 0

Answer: The roots of the polynomial equation are 5 and -16.

Step-by-step explanation:

Since we have given that

x^2+11x-80=0

So, we need to find the roots of the polynomial equation:

We will use "Split the middle term":

x^2+11x-80=0\\\\x^2+16x-5x-80=0\\\\x(x+16)-5(x-16)=0\\\\(x-5)(x+16)=0\\\\x=5,-16

Hence, the roots of the polynomial equation are 5 and -16.

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A toll collector on a highway receives ​$8 for trucks and ​$5 for sedans. At the end of a 3​-hour ​period, she collected ​$208.
Vilka [71]

Answer:

The number of trucks and sedans can be

(0 trucks ,26 sedans)

(8 trucks ,21 sedans)

(24 trucks ,11 sedans)

(25 trucks ,1 sedans)

(32 trucks ,6 sedans)

(16 trucks ,16 sedans)

Step-by-step explanation:

Given:

The  cost for trucks =$5

The cost for sedans  =$8

The total amount collected = $208

To Find:

Number of trucks and sedans passed through the toll booth =?

Solution:

Let the number of trucks be x and the number of sedans be y

Then

5x + 8y = 208-------------------------------(1)

By Trail and error method

5(0) + 8(26) = 208

5(8) + 8(21) = 208

5(24) +8(11) =208

5(25) + 8(1) = 208

5(32) + 8(6) =208

5(16) + 8(16) = 208

8 0
3 years ago
Answer these two questions
valina [46]

Answer:

5. Conjecture because you have to make a proof that it is true

6. The statement is deductive reasoning because it can be scientifically proven that hairs are unique to each individual. Therefore, the only way the hair could have gotten there was if the person was actually present.

Step-by-step explanation:

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5 0
3 years ago
Rewrite the following as a multiplication and use an array to write it in standard form (15m + 24) ÷ 3.
velikii [3]

Answer:

fifteen meters plus twenty-four divided by three '^'

Step-by-step explanation:

8 0
3 years ago
I need help on a equation −4a5⋅6a5​
Pavel [41]
I don’t understand the equation but you can use Photomath to solve any equation you need to solve. It’s and app for free.
7 0
3 years ago
. CDEF is a trapezium
guajiro [1.7K]

9514 1404 393

Answer:

  24 cm²

Step-by-step explanation:

To find the area of the trapezium, we must know the length CD. That means we must know the length BC. Fortunately, the perimeter of ABCF is given, so we have ...

  P = 2(AB +BC)

  BC = (P/2) -AB = (20 cm)/2 - 6 cm = 4 cm

Then CD is ...

  CD = BD -BC = 9 cm -4 cm = 5 cm

The area of the trapezium is given by the formula ...

  A = (1/2)(b1 +b2)h

  A = (1/2)(5 cm + 3 cm)(6 cm) = 24 cm²

The area of trapezium CDEF is 24 cm².

3 0
3 years ago
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