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Aloiza [94]
3 years ago
15

Find the discriminant of the quadratic 3x^2 - 7x + 6.

Mathematics
1 answer:
kiruha [24]3 years ago
7 0
Hello!

*Solve the equation: 
3x^{2} -7x+6 = 0

<span>**Separating the coefficients
</span><span>a = 3, b = -7 e c = 6

</span><span>***Calculating the value of the discriminant
</span>

Δ = b² – 4ac

Δ = (-7)² – 4.3.6

Δ = 49 – 72

Δ = - 23

p.s.: <span>Δ <0. When the discriminant is less than zero, there are no real roots.</span>


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Multiple Choice
Zanzabum

A) Answer: A. 22.5 cm, 30 cm, and 37.5 cm


Setting the unity measurement as x, the three sides will be 3·x, 4·x, and 5·x. The sum of the three sides will be (3 + 4 + 5)·x = 12·x; this corresponds to the perimeter, therefore:

12·x = 90 cm


We can solve for x:

x = 90 / 12 = 7.5 cm


Hence, the sides will be:

7.5 · 3 = 22.5 cm

7.5 · 4 = 30 cm

7.5 · 5 = 37.5 cm


This situation is represented in option A (which is also the only option whose sides add up to 90).



B) Answer: C. never true


We have:

6 + 8x - 9 = 11x + 14 - 3x


Bring all the terms with x on the left, by subtracting from both sides 11x and -3x, and all the numbers on the right by subtrcting from both sides 6 and -9:

6 + 8x - 9 - 11x - (-3x) - 6 - (-9) = 11x + 14 - 3x - 11x - (-3x) - 6 - (-9)


Cancel out the opposite terms from each side:

8x - 11x + 3x = 14 - 6 + 9


Combine likely terms:

0x = 17


Now you should ask yourself: what number multiplied by zero gives 17 as a result? The answer is none because a number multiplied by zero always equals zero.


Hence, the statement is never true.


C) Answer: r \leq \frac{1}{5}


We have:

5r + 4 ≤ 5


Subtract 4 from both sides:

5r + 4 - 4 ≤ 5 - 4


Combine likely terms:

5r ≤ 1


Divide both sides by 5:

\frac{5r}{5} \leq \frac{1}{5}

r \leq \frac{1}{5}


To graph the set of solutions, you need to set:

y₁ = 5x + 4 and

y₂ = +5


Plot these two lines:

y₂ is a horizontal line at a height of 5;

y₁ is a line passing through (0, 4) and (1, 9)


The set of solutions will be the part of the graph in which y₁ lies underneath y₂ (see picture attached), that happens for x \leq \frac{1}{5}.





4 0
3 years ago
Read 2 more answers
Three brothers have ages that are consecutive odd integers. The difference between the age of the oldest and twice the age of th
Genrish500 [490]

N, N+2, and N + 4 are the ages


(N + 4) - (2N) = (N + 2) -24


4 - N = N - 22


2N = 26

N = 13

The brothers are 13, 15, and 17 years old.

HOPE THIS HELPS!!

PLEASE GIVE ME BRAINLIEST!!

6 0
3 years ago
Given the formula A = 5h (B + b); solve for B.<br> 2
stellarik [79]

Answer:

B = A/5h - b; You could use

B = (A - 5hb)/5h  This just puts everything over a common denominator.

Step-by-step explanation:

A = 5h (B + b)          Divide both sides by 5h

A/5h = B + b             Subtract b from both sides.

A/5h - b = B

6 0
3 years ago
Please help!!!!!! i need to know what the answer is and how to do it.
swat32

Answer:

Step-by-step explanation:

b

6 0
3 years ago
A can of soda weighs 336 grams. find the weight in kilograms of 20 cans.
jolli1 [7]
20 cans in kilograms = 336 grams * 20 cans / 1000 = 6.72 kg
8 0
3 years ago
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