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Ira Lisetskai [31]
2 years ago
10

A student concludes that for all values of x,x^2+x+1 produces a prime number. Which value of x serves as counterexample to prove

this conclusion false?

Mathematics
1 answer:
Dafna11 [192]2 years ago
5 0

Answer:

j

Step-by-step explanation:

Substitute the given values into x² + x + 1 and check if result is prime

x = - 4

(- 4)² - 4 + 1 = 16 - 4 + 1 = 13 ← prime

(- 2)² - 2 + 1 = 4 - 2 + 1 = 3 ← prime

(- 3)² - 3 + 1 = 9 - 3 + 1 = 7 ← prime

4² + 4 + 1 = 16 + 4 + 1 = 21 ← not prime

x = 4 serves as a counterexample to disprove this conclusion

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7 0
2 years ago
Solve the equation. Check your answers.<br>29=7x+5-4x​
Vladimir [108]

Answer:

x = 8

Step-by-step explanation:

29=7x + 5 -4x

add like terms: 29 = 3x +5

get your x variable on one side

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check!

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6 0
3 years ago
The ratio of red poms to yellow poms on a float is 5 to 7. if there are 392 yellow poms on the float, how many red poms are ther
Marysya12 [62]
Ratio is written in x:y. therefore for this case, red:yellow
5 : 7

since the question states that there are 392 yellow poms, the 7 units represents 392 yellow poms. now you have to gind what is one unit and then multiply by 5 to find the number of red poms.

392 represents 7 units
1 unit: 392/7=56
5 units: 5×56=280 red poms

therefore the answer is 280 red poms which is C.
4 0
3 years ago
Someone please help me, i’ve been stuck on this question and can’t figure it out.
kenny6666 [7]

Answer:

5/8

Step-by-step explanation:

the range is the largest number minus the smallest number so

1 1/4 - 5/8

5/4 - 5/8

you would take 5/4 *2 to get like denominators so,

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7 0
3 years ago
Read 2 more answers
100 POINTS
IgorLugansk [536]

Answer:

Step-by-step explanation:

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8,262.81 - 449.44 = b^2

b = 88.39326897450959189749074160142

7 0
3 years ago
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