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Lelechka [254]
3 years ago
5

If, a quadratic equation in the form of ax+ bx + c = 0 has a discriminant

Mathematics
1 answer:
tekilochka [14]3 years ago
3 0

Answer:

True

Step-by-step explanation:

The discriminant is the part of the quadratic formula that is inside the square root, b²-4ac. If b²-4ac is 32, a positive number, then the solutions will be rational numbers. If this discriminant was a negative value, then you would get imaginary numbers (non rational).

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Y=4x-11. 4x-y=11. solving systems of equations using substitution​
Black_prince [1.1K]

Answer:

infinite number of solutions

Step-by-step explanation:

y = 4x - 11 → (1)

4x - y = 11 → (2)

Substitute y = 4x - 11 into (2)

4x - (4x - 11) = 11  ← distribute parenthesis on left side

4x - 4x + 11 = 11 ( subtract 11 from both sides )

0 = 0 ← true statement

This indicates the system has an infinite number of solutions

3 0
2 years ago
When Richards solved the equation 2(x - 5) = 56 + 6(x - 5), he used the distributive property in step one to write an equivalent
satela [25.4K]

The equivalent equation after applying distributive property will be:

(2*x) - (2*5) = 56 + (6*x) - (6*5)

Further explanation:

Distributive property states that the number is distributed to the sum or difference it is being multiplied to i.e.

a(b+c) = a*b + a*c

So the given equation is:

2(x - 5) = 56 + 6(x - 5)

2 will be distributed to x-5 and 6 will be distributed to x-5

The equivalent equation will be:

(2*x) - (2*5) = 56 + (6*x) - (6*5)\\Simplifying\\2x-10 = 56+6x-30\\2x-6x = 56-30+10\\-4x = 36\\x=-9

Keywords: Equations, Distributive property

Learn more about distributive property at:

  • brainly.com/question/5639299
  • brainly.com/question/2369634

#LearnwithBrainly

4 0
3 years ago
Alejandro was asked to solve a system of linear equations by using the substitution method. What is the error in his work below?
JulsSmile [24]
Step 1:
4y + x = 15
−9x + 5y = 20

Step 2: correct
4y + x = 15
x = 15 − 4y

Step 3: wrong
4y + x = 15
4y + (15 − 4y) = 15 wrong step
4y + 15 − 4y = 15
15 = 15
***once you have solved for a variable in one equation, you substitute it in the other equation

Corrected Step 3:
−9x + 5y = 20
-9(15 - 4y) + 5y= 20
(-9*15) + (-9*-4y) + 5y= 20
-135 + 36y + 5y= 20
-135 + 41y= 20
add 135 to both sides
41y= 155
divide both sides by 41
y= 155/41 or 3 32/41 or 3.78


ANSWER: The x value in step 2 should have been substituted in the opposite equation in step 3. The y solution would then be 155/41 or 3 32/41 or 3.78

Hope this helps! :) Would love to be marked brainliest.
3 0
3 years ago
Read 2 more answers
Write 15 cubed in exponential notation expanded form and standard form
Jlenok [28]
Um, 150000? Don't write this inmetily because it may be wrong.
5 0
3 years ago
Read 2 more answers
Paul is comparing two high-speed Internet service providers (ISPs) for his business. The graph represents the cost of each ISP a
Amiraneli [1.4K]

Answer:

12 months

Step-by-step explanation:

Theres an awful amount of needless information to get through.

Only the last paragrph is needed.

C(t) = 180 + 10t

C(t) = 25t

Set the equations equal

25t = 180 + 10t

Subtract 10t from both sides

15t = 180

Divide both sides by 15

t = 12

7 0
3 years ago
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