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3 years ago

A quadratic equation has exactly one real number solution. Which is the value of its discriminant?

Mathematics

1 answer:

zhenek [66]3 years ago

4 0

<h3>Answer: 0</h3>

The discriminant is the number under the square root of the quadratic formula

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

The discriminant formula is $D = b^2-4ac$

If D = 0, then the whole square root portion is 0 meaning we end up with the solution $x = -\frac{b}{2a}$

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3) substitute the y=-2x+5 into the equation and solve for x.

zloy xaker [14]

Answer:

x = 3

Step-by-step explanation:

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3 years ago

Joe's annual income has been increasing each year by the same dollar amount. The first year his income was $17 comma 90017,900

Vedmedyk [2.9K]

Answer:

In 17th year, his income was $30,700.

Step-by-step explanation:

It is given that the income has been increasing each year by the same dollar amount. It means it is linear function.

Income in first year = $17,900

Income in 4th year = $20,300

Let y be the income at x year.

It means the line passes through the point (1,17900) and (4,20300).

If a line passes through two points $(x_1,y_1)$ and $(x_2,y_2)$ , then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

The equation of line is

$y-17900=\frac{20300-17900}{4-1}(x-1)$

$y-17900=\frac{2400}{3}(x-1)$

$y-17900=800(x-1)$

$y-17900=800x-800$

Add 17900 on both sides.

$y=800x-800+17900$

$y=800x+17100$

The income equation is y=800x+17100.

Substitute y=30,700 in the above equation.

$30700=800x+17100$

Subtract 17100 from both sides.

$30700-17100=800x$

$13600=800x$

Divide both sides by 800.

$\frac{13600}{800}=x$

$17=x$

Therefore, in 17th year his income was $30,700.

5 0

3 years ago

This graph represents a proportional relationship between the number of months, x, data is used on a cell phone and the total co

valentinak56 [21]

Answer:

The equation that represents the graph is y = 40x

The new equation would be y = 45x

Step-by-step explanation:

As y increases by 40, x increases by 1, so 40/1, or 40

New equation: $90 per 2 months, y = 90, x = 2, 90/2 = 45

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2 years ago

2% of 0.00003 equals?

kakasveta [241]

Answer:

6e-7? i used a percentage calculator and this is what it gave me so im not entirely sure

Step-by-step explanation:

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3 years ago

Javier has basket of oranges and apples. The number of oranges is more than twice the number of apples in the basket. The differ

ser-zykov [4K]

Answer:

Its actually one solution it is solvable and only has one solution

Step-by-step explanation:

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3 years ago