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3 years ago

What is the value of the discriminant for the quadratic equation –3 = –x^2 + 2x?

Mathematics

1 answer:

ANTONII [103]3 years ago

5 0

A. -8 Because there’s a negative in -4ac

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The day the crayons quit author

Murrr4er [49]

Answer:

cran

Step-by-step explanation:

7 0

2 years ago

8. 3(4x + 4) + (x + 8) = 7x – 2(-3x + 11) Find the value of x

Marina86 [1]

There are no values of x that make the equation true. No solution.

3 0

2 years ago

Find an equation of the line parallel to x=5y-9 and passing through (2,-4). Express in standard form.

Anon25 [30]

Answer:

x - 5y = 22

Step-by-step explanation:

Step 1: rewrite the equation of the given line in to slope-intercept form by solving for y

x = 5y - 9

-5y = -x - 9 (subtract 5y and x from both sides)

y = x/5 + 9/5 (divide both side by -5)

Step 2: Our line is parallel to this line, so it has the same slope, but a different y-intercept, so set up the equation...

y = x/5 + b

We are given a point (x, y) of (2, -4), so plug that in and solve for b.

-4 = 2/5 + b

-4 - 2/5 = b (subtract 2/5 from both sides to isolate b)

-20/5 - 2/5 = b

-22/5 = b (simplify)

So the equation of our line is y = x/5 - 22/5

Step 3: Standard form is ax + by = c, where a is a positive integer

subtract x/5 from both sides...

-x/5 + y = - 22/5

multiply by -5 so x becomes a positive integer

x - 5y = 22

3 0

3 years ago

A cooler contains fifteen bottles of sports drink: eight lemon-lime flavored and seven orange flavored

dem82 [27]

Answer:

Mutually exclusive,

$P(\text{Lemon-lime or orange})=\frac{2}{3}$

Step-by-step explanation:

Please consider the complete question:

Determine if the scenario involves mutually exclusive or overlapping events. Then find the probability.

A cooler contains twelve bottles of sports drink: four lemon-lime flavored, four orange flavored, and four fruit-punch flavored. You randomly grab a bottle. It is a lemon-lime or an orange.

Let us find probability of finding one lemon lime drink.

$P(\text{Lemon-lime})=\frac{\text{Number of lemon lime drinks}}{\text{Total drinks}}$

$P(\text{Lemon-lime})=\frac{4}{12}$

$P(\text{Lemon-lime})=\frac{1}{3}$

Let us find probability of finding one orange drink.

$P(\text{Orange})=\frac{\text{Number of orange drinks}}{\text{Total drinks}}$

$P(\text{Orange})=\frac{4}{12}$

$P(\text{Orange})=\frac{1}{3}$

Since probability of choosing a lemon lime doesn't effect probability of choosing orange drink, therefore, both events are mutually exclusive.

We know that probability of two mutually exclusive events is equal to the sum of both probabilities.

$P(\text{Lemon-lime or orange})=P(\text{Lemon-lime})+P(\text{Orange})$

$P(\text{Lemon-lime or orange})=\frac{1}{3}+\frac{1}{3}$

$P(\text{Lemon-lime or orange})=\frac{1+1}{3}$

$P(\text{Lemon-lime or orange})=\frac{2}{3}$

Therefore, the probability of choosing a lemon lime or orange is $\frac{2}{3}$ .

8 0

2 years ago

Is the product of square root of 36 and 2/3 rational or irrational explain your reasoning

sineoko [7]

Answer:

rational

Step-by-step explanation:

A rational number can be expressed in the form

$\frac{a}{b}$ where a and b are integers.

$\sqrt{36}$ = ± 6, and

± 6 × $\frac{2}{3}$ = ± 4 , that is $\frac{4}{1}$ or - $\frac{4}{1}$ ← rational numbers

5 0

3 years ago