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SpyIntel [72]
3 years ago
13

If x= 6 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the

Mathematics
1 answer:
maw [93]3 years ago
8 0

Answer:

The discriminant is 0.

Step-by-step explanation:

we know that

In a quadratic equation of the form ax^{2} +bx+c=0

The discriminant is equal to

D=(b^{2}-4ac)

If D=0 -----> The equation has only one real solution

If D>0 ----> The equation has two real solutions

If D<0 ----> The equation has complex solutions

In this problem

If the equation has only one intercept (x=6)

then

The equation has only one real solution

therefore

The discriminant is 0.

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Copy machine can make 250 copies in 4 minutes. Represent<br> rate of change in copies per minute.
pentagon [3]

Answer:

1000

Step-by-step explanation:

8 0
2 years ago
The perimeter of a parallelogram must be no less than 40 feet. The length of the rectangle is 6 feet. What are the possible meas
tatuchka [14]

Answer: 14\ ft

Step-by-step explanation:

Given

Length of rectangle is 6\ ft

Perimeter must be greater than 40 ft

Suppose l and w be the length and width of the rectangle

\Rightarrow \text{Perimeter P=}2(l+w)\\\Rightarrow P\geq 40\\\Rightarrow 2(l+w)\geq40\\\Rightarrow l+w\geq20\\\Rightarrow w\geq20-6\\\Rightarrow w\geq14\ ft

So, the smallest width can be 14\ ft

5 0
3 years ago
Neeeeeeeeddddd helpppppp pleaseeeeee
never [62]
X = 21, angle AGE = 98˚, and angle GHD = 98˚

Notice from the graph that angles AGE and BGH are supplementary. This means that their sum is 180˚. Therefore, to find the value of x, we must solve the equation (5x – 7) + (3x + 19) = 180

To do this, we must isolate the variable on one side by undoing the equation. We do this by first combining like terms. In this case, the variable values, and the non–variable values.

***Before doing this, make it all addition by converting – (+7) into + (–7)

So our equation is 5x + 3x + –7 + 19 = 180.

5x + 3x = 8x and –7 + 19 = 12      Now we have 8x + 12 = 180

This is a simple equation. We undo the addition by subtracting 12 from both sides:    8x + 12 – 12 = 180 – 12      8x = 168

Then, we undo the multiplication by dividing 8 by both sides:    8x ÷ 8 = 168 ÷ 8    x = 21      We can check to, as (5 • 21 – 7) + (3 • 21 + 19) = 180

Now, we can easily figure out the measurements of your angles: angle AGE = 5 • 21 – 7 = 98    So the measure of angle AGE = 98˚

Upon observing the diagram more closely, you can see that angle AGE and GHD are congruent, meaning they have the same measurements. This means that if angle AGE = 98˚, then so does angle GHD.

So, x = 21, angle AGE = 98˚, and angle GHD = 98˚

8 0
3 years ago
I need help please and thank you
balandron [24]

Answer:

Step-by-step explanation:

the correct answer is 3

3 0
3 years ago
How do I solve part A
seraphim [82]

Answer:

The solution of this expression is x_{1} = -1 and x_{2} = -\frac{1}{2}.

Step-by-step explanation:

The procedure for solution of exercise A is described below:

1) We expand the expression.

2) The resulting expression is rearranged into the form of a second order polynomial.

3) Roots are found by Quadratic Formula.

Step 1:

2\cdot x \cdot (x+1.5) = -1

2\cdot (x^{2}+1.5\cdot x) = -1

2\cdot x^{2} + 3\cdot x = -1

Step 2:

2\cdot x^{2}+3\cdot x +1 = 0

Step 3:

x_{1, 2} = \frac{-3\pm \sqrt{3^{2}-4\cdot (2)\cdot (1)}}{2\cdot (2)}

x_{1,2} = -\frac{3}{4}\pm \frac{1}{4}

x_{1,2} = \frac{-3\pm 1}{4}

The solution of this expression is x_{1} = -1 and x_{2} = -\frac{1}{2}.

4 0
3 years ago
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