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Masja [62]
3 years ago
12

What the missing term is

Mathematics
1 answer:
arlik [135]3 years ago
6 0

Answer:

10x . . . . . (Note the sign of the middle term is negative. 10x goes in the box.)

Step-by-step explanation:

The sum of the two roots is ...

... (5 -3i) +(5 +3i) = 10

In a quadratic with leading coefficient 1, the coefficient of the 1st-degree term is the opposite of the sum of the roots. Here, that means the middle term is -10x. The minus sign is given, so the answer is 10x.

_____

<em>How Do We Know?</em>

When "a" and "b" are roots of a quadratic in x, it has factors (x -a)(x -b). The product of those two factors is ...

... (x -a)(x -b) = x² -(a+b)x +ab

Here, that means the product of the factors (5 -3i)(5 +3i) is ab = 34, which it is. Their sum is (a+b) = 10, so the x-term is -(a+b)x = -10x.

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A gardening club has 36 members,of which 29 are males and the rest are females.What is the ratio of females to males?
Jlenok [28]
7:29
i found the answer by doing 29 minus 36 and the answer is how many females are on the gardening club
6 0
3 years ago
Find two consecutive numbers whose squares differ by 45
Wittaler [7]

Answer:

The 2 numbers are 22 and 23

Step-by-step explanation:

let the two numbers be x and x+1

according to the question:

(x+1)^2 - x^2 = 45

x^2+1+2x - x^2 = 45

2x + 1 = 45

2x= 44

x = 22

the other number is x+1 = 22+1 = 23

therefore, the two consecutive numbers are 22 and 23

Hope it helped u....

5 0
3 years ago
Can someone please help me find the value of x
Nadya [2.5K]

Answer:

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Step-by-step explanation:

8 0
3 years ago
24 divided by 4 times d
nadya68 [22]

Answer:

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3 0
3 years ago
Determine what type of model best fits the given situation: Farmer Joe has 1,000 bushels of corn to sell. Presently the market p
mart [117]

Answer:

The correct option is;

C. Quadratic

Step-by-step explanation:

The given information are;

The quantity of corn Farmer Joe has to sell = 1,000 bushels

The present market price for corn = $5.00 a bushel

The amount by which he expects the market price to rise per week =$0.15

The number of bushels lost to spoilage per week = 10

Therefore, we have;

The value of the corn = Amount of corn left × Price of corn

The price of the corn per bushel with time = 5 + 0.15×t

The amount of corn left = 1000 - 10×t

Where;

t = Time in minutes

Therefore, the total value of corn = (1000 - 10×t)×(5 + 0.15×t) = -1.5·t²+100·t+5000 which is a quadratic model.

Therefore, the correct option is a quadratic model.

7 0
2 years ago
Read 2 more answers
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