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saveliy_v [14]
2 years ago
9

Calculate the discriminant and use it to determine how many real-number roots the equation has.

Mathematics
1 answer:
Vladimir79 [104]2 years ago
4 0
In a quadratic equation with the general formula of:

ax^2 + bx + c = 0

The discriminant is equal to b^2 - 4(a)(c). If the answer is a perfect square, then there are two real numbers. If not, then there are no real number root.

The discriminant for this equation is

(-6)^2 - 4(3)(1) = 24

Since 24 is not a perfect square, there are no real number roots.
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The measure of an angle is nine times the measure of its complement. find the measure of each angle.
andrew11 [14]
Two angles are complementary when they add up to 90 degrees<span> 

</span><span>smaller angle = x
</span><span>larger angle = 9x
</span>
x + 9x = 90
10x = 90
x = 90/10
x = 9°  ← smaller angle

larger angle = 9x = 9 * 9 = 81°

5 0
3 years ago
A metallurgist has one alloy containing 45% copper and another containing 69% copper. How many pounds of each alloy must be use
lakkis [162]

5.25 pounds of one alloy containing 45% copper and 36.75 pounds of 69% copper is used to make 42 pounds of 66% copper

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the amount of 45% copper and y represent the amount of 66% copper needed to make 42 pounds of a third alloy containing 66% copper. Hence:

x + y = 42   (1)

Also:

0.45x + 0.69y = 42(0.66)   (2)

This gives:

x = 5.25, y = 36.75

5.25 pounds of one alloy containing 45% copper and 36.75 pounds of 69% copper is used to make 42 pounds of 66% copper

Find out more on equation at: brainly.com/question/2972832

#SPJ1

8 0
2 years ago
What is the speed of a car that is traveling 150 miles in 3 hours? Show your work
Ira Lisetskai [31]

Answer:

speed =  \frac{distance}{time}  \\ speed =  \frac{150}{3}  \\  = 50 \: miles \: per \: hour

6 0
2 years ago
Read 2 more answers
Express as a single fraction a/b+b/b - b/a-a/a​
Harrizon [31]

Answer:

a exponent 2-b exponent 2

ab

5 0
3 years ago
Polly bought a bag of s sour candies. She ate 74 of the candies. Write an expression that shows how many sour candies Polly has
swat32

Answer:

s-74

Step-by-step explanation:

She ate 74 candies, out of the total S candies. So, if we do S-74, well find how many are left.

4 0
3 years ago
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