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shepuryov [24]
3 years ago
11

If a polynomial function f(x) has roots 3 and V7, what must also be a root of f(x)?

Mathematics
1 answer:
Tatiana [17]3 years ago
6 0

Answer:

- \sqrt{7}

Step-by-step explanation:

Radical roots occur as conjugate pairs.

Thus if x = \sqrt{7} is a root then - \sqrt{7} is also a root

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a vendor sold 25 dozens of mangoes. He was able to sell 3/5 of the total number of mangoes at 15.50 pesos and the remaining at 1
Temka [501]

Answer: 422.5

Step-by-step explanation: To find how many mangoes were sold at 15.50 pesos, find 3/5 of the total number of mangoes. 3/5 of 25 is 15 because 3 (numerator) times 25 (mangoes) divided by 5 (denominator) is 15. 15 times 15.50 (price) is 232.5 pesos. Next we take the remaining mangoes (10) and multiply it by the price (19) to get 190 pesos. Add the sales and you get 422.5 pesos.

4 0
2 years ago
Read 2 more answers
At this same time in 2010, 78% of people said they went out dancing at least one night a month. Recently, this number has increa
bezimeni [28]

Answer:

80 %

Step-by-step explanation:

since the percentage has increased by 2%, we say 78%+2%=80%

3 0
3 years ago
Read 2 more answers
Teresa is going to make 3 batches of cookies. She needs 3/4 milk for each. Her measuring cup only holds 1/4 gallon. How many tin
Ainat [17]

Given :

Teresa is going to make 3 batches of cookies.

She needs 3/4 milk for each. Her measuring cup only holds 1/4 gallon.

To Find :

How many times will she need to fill up.

Solution :

Amount of milk need per batch, A = 3/4 gallon.

Measuring cup only holds, m = 1/4 gallon.

Number of times she need to fill up,

n = A/m = (3/4)/(1/4) = 3

Now, number of batches are three.

So, number of time she need to fill up in three batch.

N = n \times 3 \\\\N = 3 \times 3 \\\\N = 9

Therefore, this is the required solution.

4 0
3 years ago
Which of the following functions is graphed below?
Paul [167]
The graph shows a piecewise function, meaning that different functions are shows at different intervals (ranges of x-values). 

1) One of the graphs is part of a parabola, meaning the equation is quadratic (has x^{2}). That equation must be x^{2} + 4.
2) The other graph is a straight line, meaning it must be a linear equation. That equation must be x + 4.

Looking at the entire graph, you can see that the parabola starts from the left and ends with an open circle at x=2. An open circle means that the graph doesn't have a value at that point, x=2. The linear line starts with a filled point at x=2 and continues to the right. That means we're looking for the choice where:
1) x^{2} + 4  \ \textless \  2
Since x=2 cannot be a point in the graph, and less than 2 means that the graph includes everything to the left of 2, but not including 2

2) x + 4  \geq  2
Since x=2 is a point in the graph, and greater than or equal to 2 means that the graph includes 2 and everything to the right of it

------

Answer: C) y = \left \{ {{x^{2} + 4  \textless \ 2} \atop {x + 4 \: \geq \: 2}} \right.



6 0
3 years ago
Rafael want to buy the same number of gifts bags and bows gifts bags are sold in packs of 6. Bows are sold in packs of 9. What i
GenaCL600 [577]

Answer:

Rafael should buy 9 gift bags and 6 bows packet so, that she can have SAME NUMBER OF ITEMS, i.e 54.

Step-by-step explanation:

The gift bags are sold in the packs of 6.

So, the number of gift bags in 1 packet  = 6 gift bags

The number of gift bags in 2  packet  = 6 x 2 gift bags  = 12  gift bags

The number of gift bags in 3  packet  = 6 x 3 gift bags  = 18  gift bags

And continuing similarly, we get

The number of gift bags in 9  packet  = 6 x 9 gift bags  = 54 gift bags.. (1)

The bows are sold in the pack of 9.

So, the number of bows in 1 packet  = 9 bows

The number of bows in 2 packet   = 9 x 2 bows  = 18 bows

The number of bows in 3 packet   = 9 x 3 bows  = 27 bows

And continuing similarly, we get

The number of bows in 6  packet  = 9 x 6 bows  = 54 bows... (2)

Here, comparing both equations (1) and (2) , we get

The number of gift bags = 54  = The number of bows.

Hence, Rafael should buy 9 gift bags and 6 packet of bows so, that she can have SAME NUMBER OF ITEMS, i.e 54.

8 0
3 years ago
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