Use the discriminant to describe the number of solutions of the equation 2x^2+5x−12=0

Multiple choice question.

A)
The discriminant is 121, and the equation has two real, rational roots.


B)
The discriminant is 121, and the equation has one real, rational root.


C)
The discriminant is –71, and the equation has two real, irrational roots.


D)
The discriminant is –71, and the equation has two complex roots.

Answer:

The sketch tool to indicate what Edwin is describing as the parabola's "turning point'' is described below in details.

Step-by-step explanation:

We can see in graph that it intersect X axis and it is open upward it means turning point is below X axis, we can find turning point by find maximum value of Y If open downward and minimum value, if open upward here we can find that minimum point is (3, -5). also you can draw axis of symmetry parabola and finds its intersection with turning point can also be named vertex of parabola.

Answer: x= anything less than or equal to 5.

Step-by-step explanation: Because if you plug 5 in the answer for the equation on the right is 60. 60 is less than or equal to 60.

Answer: x ≤ 5

11x + 5 ≤ 60

⇔ 11x ≤ 60 - 5

⇔ 11x ≤ 55

⇔ x ≤ 55/11

⇔ x ≤ 5

Step-by-step explanation:

Answer:

x = 3 is the solution

Step-by-step explanation:

3x + 4 = 5x - 2

when x = 3

so plug 3 into the equation where x is

so the equation becomes:

3(3) + 4 = 5(3) - 2

Then do the multiplication on both sides

9 + 4 = 15 - 2

Then do the addition and subtracition on both sides

13 = 13

Answer:

3x +4= 5x-2

3(3) +4 = 5(3) -2 (plug in the x values)

9+4= 15-2 (do the multiplication on both sides)  

13= 13 (do the addition/ subtraction. pretty much all you're doing, is making sure that with the given x-value, the equation is true. and it is :))

Answer:

14. y= 3/5x-2

15. y= -1x-2

17. -1/2

Step-by-step explanation:

Since you have a point and a slope put it in point-slope form first.

Point-slope form: y-y1=m(x-x1)

Then solve for y.

Then you'll get the slope-intercept form.

For number 17 use the slope-intercept form y=mx+b

rise/run= m= y2-y1/x2-x1

Answer:

7850 cm

Step-by-step explanation:

The formula for area of a circle is: [tex]\pi[/tex][tex]r^{2}[/tex]

[tex]50^{2}[/tex] = 2500

([tex]\pi[/tex] will be rounded to 3.14)

2500[tex]\pi[/tex] = 7850

Based on the given parameters, Eli’s speed is 5/60 miles per minute

The speed of an object is the rate of change of the distance moved by the object with respect to time

The given parameters are

Distance = 5/6 miles

Time = 10 minutes

The speed is calculated as

Speed = Distance/Time

So, we have

Speed = 5/6 miles/10 minutes

Evaluate

Speed = 5/60 miles per minute

Hence, Eli’s speed is 5/60 miles per minute

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Answer:

(6,4) I believe

Step-by-step explanation:

Answer:

(6,4)

Step-by-step explanation:

The vertex is either the highest or lowest point on a parabola, in this case, the highest.

The highest point on the graph is 6,4

Answer: The answer is 2.

Step-by-step explanation: 3/15 can be simplified to 1/5. Find 1/5 of 10. You can do that by dividing 10 and 5. Therefore, the answer is 2.

Answer:

Step-by-step explanation:

75 divided by 5= 15

15 pushups per day

Answer:

45/30 = 1.5 minutes per mile

75 * 1.5 = 112.5 minutes (1 hour 52.5 minutes)

Step-by-step explanation:

Answer:

1 hour and 52.5 minutes

Step-by-step explanation:

double the miles and minutes then half both of them

Answer:

30 kids

Step-by-step explanation:

Answer: Why is the basic math question is here? But the answer is 49, don’t put the basic expression next time!

Step-by-step explanation:

Answer: this is 2 grade stuff but ok... 49

The endpoints of the opposite side of the parallelogram are (8, 1) and (6, 5).

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Answer:

Growth rate is -1/5

Growth factor is 4/5

Step-by-step explanation:

Here, we want to get the growth rate and the growth factor

Generally for an exponential function given as;

y = a(1 + r)^n

r is the growth rate

1 + r is the growth factor

We can express the given exponential function as follows;

f(x) = 200(1-1/5)^x

So the growth rate is -1/5

The growth factor is 1-1/5 = 4/5

Answer: -25

Step-by-step explanation:

The required integer that shows that 25 feet below the sea level is -25.

Given that,
To determine the in integer that represents 25 feet below sea level.

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,
The sea level is set to equal to 0,
Now height above the seal level comprises of positive sign, and the height below the sea level comprises of negative sign.
So, for  25 feet below sea level,
-25 is the required integer that represents the  25 feet below sea level.

Thus, the required integer that shows that 25 feet below sea level is -25.

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Answer:

$13.50

Step-by-step explanation:

(8*2) - (1.25*2) =

16 - 2.50 =

13.50

8.00-1.25=6.75 so I believe this the answer

Answer:

2^3 * 3

Step-by-step explanation:

Here are the first several prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23

To find the prime factorization of a number, start by dividing the number by the smallest prime number it is divisible by. Keep dividing by that prime number until you can't anymore. You only divide by prime numbers that divide evenly. Then move on to the next prime number that divides evenly, and do the same. You eventually will get to 1. Then you put together all the prime factors.

This is much easier to do than it sounds like in this explanation.

Start with 24.

24/2 = 12

12/2 = 6

6/2 = 3    3 is not divisible by 2, so we move on to 3.

3/3 = 1    We got to 1, so we are done.

The prime factorization is the product of all the prime numbers we divided by which are in bold.

24 = 2 * 2 * 2 * 3

Now we index it:

24 = 2^3 * 3

Answer:

2/3

Hope this helps.

Answer:

B)203

Step-by-step explanation:

FE is 23 plus H which is a straight line which means that is 180. Add 23 and 180 that get's you 203

Answer:

The length from the external point to the center of the circle is 5 cm

Step-by-step explanation:

Here, we want to calculate the distance from the center of the circle to the external point

Please check attachment for diagram

Now, from what we know, the tangent and the radius meets at right angle

So we have a right-angled triangle with the length from the external point to the center of the circle as hypotenuse;

While the radius and the length of the tangent to the circle as the other sides

Using Pythagoras’ theorem, the square of the hypotenuse equals the sum of the squares of the two other sides

Let the length we want to calculate be x

x^2 = 3^2 + 4^2

x^2 = 9 + 16

x^2 = 25

x = √25

x = 5 cm

Answer:

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Answer:

y = 44

Step-by-step explanation:

Slopes of parallel lines are equal.

P(15, 7)

Q(20, 14)

[tex]m_{PQ}[/tex] = [tex]\frac{14-7}{20-15}[/tex] = [tex]\frac{7}{5}[/tex]

G(3, 2)

F(33, y)

[tex]m_{PQ}[/tex] = [tex]m_{GF}[/tex] = [tex]\frac{y-2}{33-3}[/tex] = [tex]\frac{7}{5}[/tex]

5(y - 2) = 7(30)

y - 2 = 42

y = 44

Answer:

"input" is x and "output" is y

y= -2(3) +8

y= -6 +8

y= 2

your answer would be 2

Answer:

-5x+9+2x=-3(x-3)

Step-by-step explanation:

3x-6+2x = 5x + 3

5x-6=5x+3

0=9

No solution

2x+1-3x=6-x+5

-x+1=11-x

0=10

No solutions

2(x+4)-3=3x+5

2x+8-3=3x+5

x=0

One solution

3x +1+x=9-4x-10

8x=-2

x=-1/4

One solution

-5x +9+ 2x = -3(x-3)

-3x+9=-3x+9

Infinite solutions

Answer:

When two numbers in an equation have the same variable and or charge, then you use the commutative property to put them next to each other.

Step-by-step explanation:

Example:

4x + 2 + 3x - 1 <--- Here is the original equation.

4x + 3x + 2 - 1 <---Use the commutative property to add the like terms        

                             together. 3x and 4x end in the same variable. 2 and 1 both

                             have no variable. Therefore both of the groups are like    

                             terms.

7x + 1   <--- Add/subtract the live terms together.

8x <--- Here is your answer.

Hope this helps! :D

Answer:

a. 4x³+13x²+9

Step-by-step explanation:

1. Distribute 4x to every term in the second set of parenthesis to get:

4x³-16x²+12x

2. Distribute 3 to every term in the second set of parenthesis to get:

3x²-12x+9

3. Add/subtract terms with the same variables/degrees:

4x³-16x²+12x+3x²-12x+9

4. The simplified answer is:

4x³+13x²+9

Answer:

4x³ - 13x² + 9

Step-by-step explanation:

(4x + 3)(x² - 4x + 3) =

(4x)(x²) + (4x)( - 4x) + (4x)(3) + 3(x²) + 3( - 4x) + 3(3) =

4x³ - 16x² + 12x + 3x² - 12x + 9 =

= 4x³ - 13x² + 9