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3 years ago

What is the discriminant of 3x^2-8x+5=5x^2

1 answer:

6 0

Move all terms to the left side of the equation and simplify.

−2x2−8x+5=0-2x2-8x+5=0

The discriminant of a quadratic is the expression inside the radical of the quadratic formula.

b2−4(ac)b2-4ac

Substitute in the values of aa, bb, and cc.

(−8)2−4(−2⋅5)-82-4-2⋅5

Evaluate the result to find the discriminant.\

104

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Identify an equation in point-slope form for the line perpendicular to

Alchen [17]

Answer:

$y - 9 = \frac{1}{2}(x +3)$

Step-by-step explanation:

Given

Function; $y = -2x + 8$

Required

Find an equation perpendicular to the given function if it passes through (-3,9)

First, we need to determine the slope of: $y = -2x + 8$

The slope intercept of an equation is in form;

$y = mx + b$

Where m represent the slope

Comparing $y = m_1x + b$ to $y = -2x + 8$ ;

We'll have that

$m_1 = -2$

Going from there; we need to calculate the slope of the parallel line

The condition for parallel line is;

$m_1 * m_2 = -1$

Substitute $m_1 = -2$

$(-2) * m_2 = -1$

Divide both sides by -2

$m_2 =\frac{ -1}{-2}$

$m_2 =\frac{1}{2}$

The point slope form of a line is;

$y - y_1 = m_2(x - x_1)$

Where $(x_1,y_1) = (-3,9)$ and $m_2 =\frac{1}{2}$

$y - y_1 = m_2(x - x_1)$ becomes

$y - 9 = \frac{1}{2}(x - (-3))$

Open the inner bracket

$y - 9 = \frac{1}{2}(x +3)$

Hence, the point slope form of the perpendicular line is: 

 $y - 9 = \frac{1}{2}(x +3)$ 

3 0

3 years ago

HELP PLEASE! for 20 points

sweet [91]

Volume is base * height

Volume is hence 24 in * 6 in

Which gives you 144 in

Volume is 144in^3 (144 in cubed)

4 0

2 years ago

I'm confused What is the answer?

forsale [732]

If c > 0, then f(x - c) is a shift of f(x) by c units to the right, and f(x + c) is a shift by c units to the left.

If d > 0, then f(x) - d is a shift by d units downward, and f(x) + d is a shift by d units upward.

Let g(x) = x. Then f(x) = g(x + a) - b = (x + a) - b. So to get g(x), we translate f(x) to the left by a units, and down by b units.

Note that we can also interpret the translation as

• a shift upward of a - b units, since

(x + a) - b = x + (a - b)

• a shift b units to the right and a units upward, since

(x + a) - b = x + (a - b) = x + (- b + a) = (x - b) + a.

6 0

2 years ago

What is a 36% markup to $150 dallors

MrRa [10]

Answer:

Markup amount: $54

New price with markup: $204

Step-by-step explanation:

36% markup to $150

We can find the amount of markup by finding 36% of 150.

36% of $150

Write 36% as a decimal and multiply it by the price

0.36(150) = $54

The amount of markup (36%) is equal to $54

When this is added to the original price, the new price is $150 + $54 = $204

Let me know if you have any questions!

7 0

3 years ago

Lucy will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $53 and costs an add

Alchen [17]

Answer:

The amount driven would be 275, and the cost for both plans will be 77.75$

Step-by-step explanation:

make both equations

y=0.09x+53

y=0.13x+42

set them equal to each other and solve for x to get the distance

take that number and put it in one equation and solve for y to get the price of the plan for that value

6 0

2 years ago