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Sonbull [250]
3 years ago
9

The sum of two numbers is 30 and their difference is 12

Mathematics
1 answer:
Elina [12.6K]3 years ago
6 0
The correct answer is 21 and 9. 21+9=30 and 21-9=12. Hope this helps.
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Using the Factor Theorem, which of the polynomial functions has the zeros 2, radical 3 , and negative radical 3 ? f (x) = x3 – 2
butalik [34]

To solve this question, we use the factor theorem, and using it, the polynomial function is:

f(x) = x^3 - 2x^2 - 3x + 6

------------------------------

The factor theorem means that if k is a root of f(x), f(k) = 0.

Thus, applying the factor theorem for this question, we have to choose the function for which: f(2) = 0, f(\sqrt{3}) = 0, f(-\sqrt{3}) = 0

------------------------------

Function 1:

f(x) = x^3 - 2x^2 - 3x + 6

Testing the values:

f(2) = 2^3 - 2(2)^2 - 3(2) + 6 = 8 - 8 - 6 + 6 = 0

f(\sqrt{3}) = \sqrt{3^3} - 2(\sqrt{3})^2 - 3\sqrt{3} + 6 = \sqrt{3^2\times3} - 6 - 3\sqrt{3} + 6 = 3\sqrt{3} - 3\sqrt{3} = 0

f(-\sqrt{3}) = -\sqrt{3^3} - 2(-\sqrt{3})^2 - 3(-\sqrt{3}) + 6 = -\sqrt{3^2\times3} - 6 + 3\sqrt{3} + 6 = -3\sqrt{3} + 3\sqrt{3} = 0

Thus, since all three conditions are satisfied, f(x) = x^3 - 2x^2 - 3x + 6 is the polynomial function.

A similar question is given at brainly.com/question/11378552

5 0
2 years ago
What is the sum of 10+20?
julsineya [31]

Answer: 10+20=30

Step-by-step explanation:

6 0
3 years ago
10 – (8p + 3) = 9(2p - 5)
Eddi Din [679]

Answer:

p=2

Step-by-step explanation:

10 – (8p + 3) = 9(2p - 5)

(rearrange and distribute) -8+7=18−45

(Subtract and combine) −26=−52

(Divide and find p) p=2

6 0
2 years ago
Read 2 more answers
Ralph has a collection of dimes and quarters. The ratio of dimes to quarters is 4:5. If the number
Murrr4er [49]

Answer:

180

Step-by-step explanation:

4 times 20 is 80, and 4 times 5 is 100, so add those together and that's the total number of coins

5 0
2 years ago
KEVIN'S GAS TANK IS 1/6 FULL. AFTER HE BUYS 14 GALLONS OF GAS, IT IS 3/4 FULL. HOW MANY GALLONS CAN KEVIN'S TANK HOLD?
Reika [66]

\frac 1 6 t  + 14 = \frac 3 4 t


14 = (\frac 3 4 - \frac 1 6)t = (\frac 9{12} - \frac{2}{12}) t = \frac {7}{12} t


t = \frac{12}{7} (14) = 24


Answer: 24 gallons


Check: (1/6)24=4, 4+14=18, 18/24=3/4, good


5 0
3 years ago
Read 2 more answers
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