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3 years ago

For the function above is the discriminate, positive, negative, or zero?

Mathematics

1 answer:

fomenos3 years ago

4 0

Answer:

Step-by-step explanation:

When there is one x-intercept, the discriminant is zero.

The discriminant is used to compute the difference between the roots. When it is positive, the real roots are different, so there are two x-intercepts.

When the discriminant is zero, there is no difference between the roots, so there is one x-intercept (as here).

When the discriminant is negative, there are no x-intercepts and the two roots are complex.

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Analyze the solution set of the following system by

blsea [12.9K]

Answer:

The equations in the slope-intercept form

y = - 2 x + 5

y = - 2 x + 3

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

m is the slope of the line.

b is the y-intercept.

To put any equation in the slope-intercept form state y on the left side, x and the numerical term on the right side, the coefficient of y must be 1.

Let us do that with the given equations

∵ 2x + y = 5

→ Subtract 2x from both sides to move x to the right sides

∴ 2x - 2x + y = 5 - 2x

∴ y = 5 - 2x

→ Switch 5 and - 2x

∴ y = - 2x + 5

∵ 3y = 9 - 6x

→ Divide each term by 3 to make the coefficient of y = 1

∴ $\frac{3y}{3}=\frac{9}{3}-\frac{6x}{3}$

∴ y = 3 - 2x

→ Switch 3 and - 2x

∴ y = - 2x + 3

The equations in the slope-intercept form

y = - 2x + 5

y = - 2x + 3

7 0

3 years ago

A company is creating a box without a top from a piece of cardboard, but cutting out square corners with side length x.

Volgvan

Answer: Choice B) The expression (10-2x)(30-2x)x represents the volume of the box

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The original width is 10 inches. The width reduces to 10-2x inches after we cut off the top two corners of the rectangle. We can think of it as taking 10 and subtracting off two copies of x like so: 10-x-x = 10-2x

Similarly, the length goes from 30 inches to 30-2x inches. This time we're taking off the top and bottom corners (focus on either side it doesn't matter).

The height of the box is x inches due to this portion being folded up.

Volume of box = (width)*(length)*(height)
Volume of box = (10-2x)(30-2x)x

Note: the units for the answer are in cubic inches which can be written as "in^3" (inches cubed).

6 0

3 years ago

Read 2 more answers

Please help:((((((((((

Jet001 [13]

Answer:

7. 3x + 6 = 3x + 10

8. 3x + 6 = x + 2(x + 3)

Step-by-step explanation:

To write an equation with no solutions, we write an equation in which the x terms are eliminated, and we end up with a false statement when we try to solve the equation.

Start with

3x + 6 =

This means: take a number, x, multiply it by 3, then add 6 to it.

To make it into an impossible equation, take the same number x, multiply it by 3, and now add 10 instead of 6. The same number x, multiplied by 3 just like above, and now with 10 added to it cannot equal 3x + 6.

Let's write the equation and try to solve it.

3x + 6 = 3x + 10

Subtract 3x from both sides.

6 = 10

Since 6 = 10 is a false statement, there is no solution.

Now we need an equation that is true for every value of x.

We start with 3x + 6 on the left side.

3x + 6 =

To make it true for every value of x, which means it has an infinite number of solutions, we write an expression on the right side that is the same as 3x + 6, just written in a different form.

For example, start with

3x + 6

Separate 3x into x + 2x, now you have

x + 2x + 6

Now factor 2 out of 2x + 6, so you get

x + 2(x + 3)

The expression x + 2(x + 3) is equal to the expression 3x + 6. Now we use x + 2(x + 3) on the right side of the equation we are writing. We get:

3x + 6 = x + 2(x + 3)

Let's solve this equation.

Distribute on the right side.

3x + 6 = x + 2x + 3

Combine like terms on the right side.

3x + 6 = 3x + 6

Subtract 6 from both sides.

3x = 3x

Subtract 3x from both sides.

0 = 0

0 = 0 is a true equation. Therefore, the equation 3x + 6 = x + 2(x + 3) has infinitely many solutions. in other words, every real number is a solution of the equation.

8 0

3 years ago

Which is bigger 30% of £450 or 4/5 of £300?

Dima020 [189]

4/5 of 300= 80% of 300= 240

30% of 450= 135

30% of 450<4/5 of 300

7 0

3 years ago

Read 2 more answers

Please help me! I struggle with Ag class. I'll give Brainlest if I know how.

Butoxors [25]

Answer:

Her answer is incorrect

We have the correct feet number (5) but the incorrect inches number (should be 3 inches and not 1/4 inches)

Step-by-step explanation:

Here, we want to make a conversion from feet to inches and feet

Mathematically, we know that;

1 feet = 12 inches

So, for 63 inches, we can have a clear ;

63/12 = 5 feet + 3 inches

Hence, the correct conversion of 63 feet should be;

5 feet and 3 inches

4 0

3 years ago