Question 1 of 10
Using the graph as your guide, complete the following statement.
The discriminant of the function is
101
HA
-10
10
Answers
The discriminant of the function is positive
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the discriminant of the function be represented as D
Now , the value of D is
D = ( b² - 4ac )
And , when ( b² - 4ac ) is positive, we get two real solutions
When a quadratic function contacts the x-axis on two different occasions, the function should be positive in this case. When the quadratic function intersects the x-axis precisely on one occasion, the function should be equal to zero.
When the x-axis shouldn't cross the function graph, the function should be smaller than zero.
Hence , the discriminant of the function is positive
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The complete question is attached below :
Using the graph as your guide, complete the following statement.
The discriminant of the function is
Related Questions
Answer each question below.
18.
(16)
ZW and ZY are supplementary. If m
Answers
Is there anymore words?
Answer:
I'm not answering but i can help you :)
Step-by-step explanation:
Supplementary angles are two angles whose measures add up to 180°.
The two angles of a linear pair, like ∠1 and ∠2 in the figure below, are always supplementary.
But, two angles need not be adjacent to be supplementary. In the next figure, ∠3 and ∠4 are supplementary, because their measures add to 180°.
Example 1:
Two angles are supplementary. If the measure of the angle is twice the measure of the other, find the measure of each angle.
Let the measure of one of the supplementary angles be a .
Measure of the other angle is 2 times a.
So, measure of the other angle is 2a.
If the sum of the measures of two angles is 180°, then the angles are supplementary.
So, a+2a=180°
Simplify.
3a=180°
To isolate a, divide both sides of the equation by 3.
3a3=180°3 a=60°
The measure of the second angle is,
2a=2×60° =120°
So, the measures of the two supplementary angles are 60° and 120°.
Example 2:
Find m∠P and m∠Q if ∠P and ∠Q are supplementary, m∠P=2x+15, and m∠Q=5x−38.
The sum of the measures of two supplementary angles is 180°.
So, m∠P+m∠Q=180°
Substitute 2x+15 for m∠P and 5x−38 for m∠Q.
2x+15+5x−38=180°
Combine the like terms. We get:
7x−23=180°
Add 23 to both sides. We get:
7x=203°
Divide both sides by 7.
7x7=203°7
Simplify.
x=29°
To find m∠P, substitute 29 for x in 2x+15.
2(29)+15=58+15
Simplify.
58+15=73
So, m∠P=73°.
To find m∠Q, substitute 29 for x in 5x−38.
5(29)−38=145−38
Simplify.
145−38=107
So, m∠Q=107°.
Find the term of the arithmetic sequence in which a 27=-1/2 and the common difference is 2.
Answers
Step-by-step explanation:
arithmetic sequence means that every new term is created by adding a certain constant (here 2) to the previous term.
a27 = -1/2 = a1 + (n-1)×2 = a1 + 26×2 = a1 + 52
a1 = -52 1/2 = -105/2
an = -105/2 + (n-1)×2
To have a balanced budget, you must ___
A have your gross pay equal your spending
B have your net income equal your spending
C have your gross pay equal your spending and savings
D have your net income equal your spending and savings
Answers
Answer:
D have your net income equal your spending and savings.
Step-by-step explanation:
I did A and got it wrong, D is the correct answer.
What is the value of x?
Answers
Answer:
x = 7
Step-by-step explanation:
The right angle is composed of the 2 given angles, so sum to 90°
4x + 40 + 6x - 20 = 90
10x + 20 = 90 ( subtract 20 from both sides )
10x = 70 ( divide both sides by 10 )
x = 7
Why do meats and vegetables cook much more quickly when there are metal skewers sticking through them
Answers
Answer: Having a metal skewer in the middle increases the surface area that is exposed to heat.
Step-by-step explanation:
By having the inside and outside of food touching a heat source as the skewer heats up, the inside and outside are cooking at the same time.
Which of the following correct shows the next two
terms after -40 in the pattern?
Answers
Answer:
I believe the answer is B. 80, -160
Step-by-step explanation:
The pattern involves multipling by -2 so the term after that would be 320!
Which of the following is not a subset of {1, 2, 3}?
{0}
{1, 2, 3}
Ø
Answers
Answer:
{0}
Step-by-step explanation:
{0} is not because 0 is not an element of set {1, 2, 3}
The null set is a subset of every set, so Ø is.
A set is a subset of itself.
simplify - 8t + 3r - 7t - 9r
Answers
Answer:
15t+12r
Step-by-step explanation:
you have to do like term like -8t and-7t that is like term so the next like term is 3r and -9r
What is six times a number in algebraic expression
Answers
Answer:
6(x)
Step-by-step explanation:
Answer:
6x
Step-by-step explanation:
x represents a number, it is also called a variable.
If there is 2 of x, it would be represented like this: 2x
If there is 1 of x, it would be represented like this: x
12÷5/2=
Tell the answer quick!!
Answers
Answer:
4.8
Step-by-step explanation:
Answer:
4.8
Step-by-step explanation:
mark braineist pls
Work out the area of the pentagon.
Give your answer correct to 3 significant figures.
//answer please
Answers
Answer:
Step-by-step explanation:
A = 1/4√5(5+2√5)a²
"find 48 divided by 2 using the distributive property"
Answers
Step-by-step explanation:
48 ÷ 2 = ...
= (12 ÷ 2) + (12 ÷ 2) + (12 ÷ 2) + (12 ÷ 2)
= 6 + 6 + 6 + 6
= 12 + 12
= 24
Help plz this is difficult
Please explain how to get the measure of the angle because khan academy did not
Thanks
-Tornado
Answers
To begin, remember that the sum of all angles must equal 180.
With that being said, take your two known angles into account.
1 - X = Unknown
2 - 102
3 - 48
To find x, simply add 102 and 48.
102 + 48 = 150, the sum of angle 2 & 3.
Remember that the sum of the whole figure must be 180. With that being said, subtract 180 and 150.
180 - 150 = 30
x = 30
To double check, add all the sides together.
102+48+30 = 180
verizon wireless charges $85 for a 5 person plan and $65 for a 3 person plan.
Answers
Answer:
so whats the question. ...........
Please help I’m begging you
Answers
Answer:
y = 9
Step-by-step explanation:
The line "y = 9" is parallel to the x-axis and passes through (0,9).
2x+10=4.what are the steps to follow as to get the actual value of X
Answers
So we want to get X alone
So we - 10 on both sides
2x = 4-10
2x = -6
Now we divide by 2 so we get the value of X
X = -3
Please help me with this I don't get it
Answers
The proportion of the total area under a normal curve between two z-scores corresponds to the ______ of that range of scores.
Answers
Answer:
For any normal distribution, the mean and the median will have the same value. For any normal distribution, the proportion corresponding to scores greater than z = +1.00 is exactly equal to the proportion corresponding to scores less than z = -1.00.
Step-by-step explanation:
Sprinters who run 100 yards now often run 100 meters.
How many meters longer to the nearest tenth is 100 meters than 100 yards?
Enter the correct answer in the box.
Answers
Answer:
100 meters is 8.6 meters longer than 100 yards.
Step-by-step explanation:
Conversion of yards to meters.
Each yard has 0.914 meters.
So 100 yards is 100*0.9144 = 91.4 meters.
How many meters longer to the nearest tenth is 100 meters than 100 yards?
100 yards = 91.4 meters
100 - 91.4 = 8.6
So 100 meters is 8.6 meters longer than 100 yards.
y=x-7
6x-6y=-7
elimination method
Answers
Answer:
The system has no solutions.
Step-by-step explanation:
Let's write it in a more traditional form
[tex]\left \{ {{x-y=7} \atop {6x-6y=-7}} \right. \\[/tex]
Try staring at it for a bit, and then realize what you are being asked: find two numbers whose difference is - at the same time, 7, and -7/6. That's impossible.
Same result you get by elimination. Multiply the first by 6 and either add or subtract - your choice the second. In either case you will get 0 = 35 or 0=49, which are obviously absurd
You surprised your friends with a trip to a haunted house this weekend. The admission tickets were $8 per friend. You had to pay an additional $5 for parking and you spend $20 on food. You also got your friends a card that was $2 per friend. At the end of the night, you spent $105. How many of your friends did you bring to the haunted house?
Answers
Answer: 8
Step-by-step explanation:
Ok, start going backwards with the addition and substration which makes it:
105 – 25 = 80
Since you had to pay 8 and 2 for each friend so that makes the cost for a friend 10 so:
80 divided by 10 = 8
8 Friends is the answer.
The length of a rectangle is four times its width.
If the perimeter of the rectangle is 100m, find its length and width.
Answers
Answer:
200points
[tex]x6)266(6( \times [/tex]
hatodf jahahshshshshfidba
125 divided by 15 °°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°
Answers
Answer:
8.3(3333333333333333)
Step-by-step explanation:
i need help in this math
Answers
Answer:
2
Step-by-step explanation:
Plug in 3 for the a's and -2 for the b's:
[tex]-2^{2} -(-2 + 3(3)) + 3 = ?[/tex]
Then simplify:
[tex]4 - (-2 + 9) + 3 = ?[/tex]
remember to add 1 as a placeholder if the sign before the parenthesis is a minus:
[tex]4 + 4 - 9 + 3 = ?[/tex]
Solve:
[tex]4 +4 -9+3=2[/tex]
8x-22 please help me please help me please help me please help me please help me please help me
Answers
Answer:
8x - 22
Step-by-step explanation:
You can't do anything because in order to subtract 22 from 8x the 22 has to have an x behind it as well. :) hope this helps! (Can I get brainliest? If not it ok! ^w^)
On a trip, you see a large, sphere-shaped house. The volume of the house was 3,367,575 cubic feet. What is the radius? Use 3.14 to approximate pi. Round your answer to the nearest whole number.
Answers
Answer:
r≈93
Step-by-step explanation:
V=4/3πr³
3,367,575=4/3(3.14)r³
3,367,575=314/75r³
multiply both sides by 75/314
804357 27/314=r³
∛804357 27/314=∛r³
r≈93
who goes to Catonsville middle school pls answer
Answers
Answer:
Uh not me but I don't think you should leak your schools name...
what is the slope of y=-4?
Answers
Hello there!
The slope of this line is 0.
y=-4 is a horizontal line.
We find the slope using the formula Rise/Run.
The rise is 0, and no matter what the run is, the slope is 0 anyway.
Hope this helps!
~Just a cheerful teen
#CarryOnLearning
[tex]SilentNature[/tex]
the store marked up the shirt by 20% the original shirt cost $40 how much does the new shirt cost
Answers
Answer:
48
Step-by-step explanation:
First find the amount of the markup
40 * 20%
40 *.2
8
Add this to the original price
40+8 = 48
If the shortest side in a 30° 60° and 90° triangle is a half an inch long find the length of the other two sides
Answers
60=1/2x2=1 inch
90=1/2x3=1 1/2
shortest side is 1/2 inch, medium side is 1 inch, longest is 1 1/2
the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.
In a 30°-60°-90° triangle, the ratios of the side lengths are as follows:
- The side opposite the 30° angle is half the length of the hypotenuse.
- The side opposite the 60° angle is √3 times smaller than the hypotenuse.
- The hypotenuse is twice the length of the side opposite the 30° angle.
Let's denote the length of the shortest side as "x" (which is half an inch, i.e., x = 0.5 inches).
Then:
- The side opposite the 30° angle = x = 0.5 inches
- The side opposite the 60° angle = √3 * x = √3/2 inches
- The hypotenuse = 2 * x = 2 * 0.5 inches = 1 inch
So, the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.
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