if x=-3 is the only x-incercept of the graph of a quadratic equation which statement best describes the discrinant of the equation
Answer:
The discriminant must be zero.
Step-by-step explanation:
Quadratic Equation
The standard representation of a quadratic function is:
[tex]f(x)=ax^2+bx+c[/tex]
where a,b, and c are constants.
The zeros, roots, or x-intercepts can be found by solving the equation:
[tex]ax^2+bx+c=0[/tex]
We can use the quadratic formula to find the roots:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Note this formula gives us two different roots if the square root is non-zero.
The only way there can be only one x-intercept is because the square root is zero.
If the square root is zero, then
[tex]b^2-4ac =0[/tex]
The expression is called the discriminant.
Thus, if x=-3 is the only x-intercept of the graph of a quadratic function, then the discriminant must be zero.
The surface of each crystal has an area of
1,000,000,000
square meters. Write this number using a negative
exponent.
Answer:
10,000,000,000 × 10^-1, 1/1,000,000,000^-1
Step-by-step explanation:
Im not sure what you are asking
whats 10 to the power of 9 as a decimal
Answer: 1,000,000,000
10⁹ cannot be written in decimal form.
Plz mark brainliest:)
Need help with this problem and a step by step explanation
Javier rounded to the nearest half to estimate the product of 3 2/5 and -3 7/8. How do the estimate and the actual product compare Word problem
Answer:
Step-by-step explanation:
Solve the following quadratic equation by factorising: 15x^2 + 2x - 8 = 0
A school dance sold 2 types of tickets: one for freshman/sophomores (9th/10th graders), and one for juniors/seniors (11th/12th graders). The freshman/sophomore tickets cost $8, and the junior/senior tickets cost $6. They sold a combined total of 525 tickets, and earned a total of $4600. How many tickets of each type did the school sell? Write and show all algebra work; you cannot use graphing to solve this.
9514 1404 393
Answer:
freshman/sophomore: 725junior/senior: -200Step-by-step explanation:
It is convenient to let a variable represent the number of the highest-price tickets sold. We'll use x for that. Then the number of lower-price tickets sold is 525 -x and the total revenue is ...
8x +6(525 -x) = 4600
2x = 1450 . . . . . . . . . . . . subtract 3150
x = 725
525 -x = -200
__
The school sold 725 freshman/sophomore tickets and -200 junior/senior tickets.
_____
Comment on the question
There is apparently an error in the question somewhere. The average revenue per ticket is ...
$4600/525 ≈ $8.76
You cannot sell $6 and $8 tickets and earn more than $8 per ticket sold. (Average revenue must be between $6 and $8 per ticket.)
__
If we assume a typo in revenue, and that it should be $3600, then the sales will be 225 freshman tickets and 300 senior tickets.
I really need help with this ?
Answer:
H: 4 3/4
Step-by-step explanation:
You subtract Aaron's and Siri's ages together and you get 4 3/4
Jane Little rents a car for $39.00 a week. She pays $15.00 per week for the insurance, and spends $17.50 weekly on gas. What will her cost be per month (four weeks)?
Answer: Her cost will be $286 per month.
Step-by-step explanation: $39.00 times 4 is $156. $15.00 times 4 is $60. And $17.50 times 4 is $70. Adding all that together is $286
Answer:
$286.00
Step-by-step explanation:
First, you add 39.00 + 15.00 + 17.00 because that is for one week and you get $71.50 Then, you multiply 71.50 x 4 because there are 4 weeks in a month and you get $286.00 Hope This Helps :)
Angie painted 1/20 of a fence in 1/2 an hour. How long will it take Angie to paint one fence
Answer: 30 minute
Step-by-step explanation:60 diviser par 2
Answer:24 hours
Step-by-step explanation: because 1/2 times 20 will give you 24
multiple and divide signed numbers
Answer:
the answer is 9
Step-by-step explanation:
What is the measurement of MJL ??
can sommeone please answer this
Answer:
x= 8
z= 116 degrees
Step-by-step explanation:
the two given angle measures are vertical angles so they are equal to each other, the equation is: 12x-32 = 11x-24
simplify this to get: x= 8
plug the value of x into either of the given equations, I will use the first one: 12(8) - 32
this means that the angle of one of them is 64
and since z and 12x-32 make a straight angle (180 degrees)
you can subtract 64 from 180 to find z
this gives you 180-64 = 116
Each student in the fifth grade at Bonchon elementary bought 15 to the book fair they bought 1245 altogether how many fifth grade students go to Boston elementary
Answer:
83 fifth grade students
Step-by-step explanation:
the total amount was 1,245
they each bought 15
equation is 1,245/15=?
answer is 83
Answer:
3 students went to the book fair
Step-by-step explanation
Doing inverse operations so you do 1245 divided by 15 and that would be your answer.
A bird goes from a higher location to a lower location at a
rate of 2 meters per second,
Which equation models the change in the bird's position at 30 seconde?
A. (-30)(-2) = -60
B. 30(-2) = -60
C. 30.2 = 60
D. 30(-2) = 60
Answer: It's B.
Step-by-step explanation: I took the test.
Does anyone know the answer to the question
Answer:
The root of that equation are -1 -4 and 5
so the equation is (x -5) * (x +1) * (x +4)
(I may have that wrong and the answer MIGHT be:
(x -+5) * (x -1) * (x -4)
So, you have 2 answers and I KNOW 1 of those is correct. :-)
Step-by-step explanation:
George desposit is as follows: Checks: $63.21, $37.79, and $15.50; cash: 24 one-dollar bills, 11 ten-dollar bills, 20 quarters, 22 dimes, and 40 pennies; less $20.00 as chas recevied. What is his total deposit?
Answer:
$258.10
Step-by-step explanation:
-1/6 + -3/7 =
Please need answers ASAP and please explain how to do it as well thanks
Answer:
-25/42
Step-by-step explanation:
you need to make the denominators equal, so find a number that is divisible by both 6 and 7 (i chose 42 because it’s the first number that comes to mind) you then multiply the numerator by the same number.
so -1/6 is multiplied by 7 on top and bottom to become -7/42, and -3/7 is multiplied by 6 of top and bottom to become -18/42.
then you add them together and you get -25/42
if possible you would simplify but for this one it’s not :)
Answer:
Negative Twenty Five over Forty Two.
Step-by-step explanation:
Hey, It looks like you just have to add two fractions. i.e Negative One Sixth (-1/6) and Negative Three Seventh (-3/7).
First Step: Make the denomimators the same.
-1/6 will become -7/42
-3/7 will become -18/42
Second step: Add the two fractions.
-7/42 + -18/42 = -25/42
So there is your answer: -25/42
Explain how you could use either multiplication or division to solve the same equation.
Answer:
Multiply By Decimal
Step-by-step explanation:
If you multiply a number by a decimal you get the same outcome that you would if you would have divided it
What is the answer to an addition problem called
t a certain vineyard it is found that each grape vine produces about 10 lb of grapes in a season when about 500 vines are planted per acre. For each additional vine that is planted, the production of each vine decreases by about 1 percent. So the number of pounds of grapes produced per acre is modeled by
A(n) = (500 + n)(10 − 0.01n)
where n is the number of additional vines planted. Find the number of vines that should be planted to maximize grape production.
Answer: Grape production is maximized for 150 vines planted
Step-by-step explanation:
A graph titled Calories in Strawberries. The x-axis shows the number of strawberries, numbered 1 to 9, and the y-axis shows the number of calories, numbered 3 to 27. A straight line with a positive slope begins at point (0, 0) and ends at point (6.8, 27). The graph shows the relationship between the number of strawberries eaten and the approximate number of calories consumed. Which statement is true? Each strawberry contains 4 calories. Each strawberry contains 3 calories. Twenty-four strawberries contain 6 calories. Four strawberries contain 15 calories
Answer:
the answer is edge 2020 A
Step-by-step explanation:
each strawberry contains four calories
gaming legend
Answer:
Its A
Step-by-step explanation:
got it right on Edge
What is the distance, d, between the points (2,5/2) and (8/3,1)?
Enter your answer in the box. Enter your answer in simplest radical form.
Answer:
um 3 5/4
Step-by-step explanation:
The distance, d, between the points (2,5/2) and (8/3,1) will be; 1.6415 units.
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
D = √[(x-p)² + (y-q)²]
So, we will use the distance formula:
Let (2, 5/2) be (x₁, y₁) and let (8/3, 1) be (x₂, y₂).
Now Substitute:
D = √[(1 - (5/2))² + (8/3 - 2)²]
Evaluate the expressions within the parentheses;
D = √[(1 - (5/2))² + (8/3 - 2)²]
D = √[(-3/2)² + (2/3)²]
Evaluate:
D = √[9/4 + 4/9]
Square:
D = √97/6
Hence, the distance, d, between the points (2,5/2) and (8/3,1) will be; 1.6415 units.
Learn more about distance between two points here:
brainly.com/question/16410393
#SPJ2
Ms. Ramirez is throwing a fundraising event to
raise money for new chromebooks for GWCP.
Ms. Ramirez is charging $35 an an entrance fee
and then additionally guest can buy raffle tickets
for prizes. Ms. Colsant comes to the event,
purchases 4 raffle tickets and spends a total of
$62. How much is Ms. Ramirez charging for raffle
tickets at the event?
Students, write your response!
Pear Deck interest
Denise spent $56.48 at the grocery store while Michael spent $74.06. How much more money did Michael spendthan Denise?A.$17.58B.$37.03C.$65.27D.$130.54
Answer:
A 17.58
Step-by-step explanation:
Perry is responsible for distributing soccer balls to the kids at soccer camp. During practice, Perry would like each group of 5 children to share two soccer balls. How many soccer balls does Perry need if 25 kids attend camp?
Q: Perry is responsible for distributing soccer balls to the kids at soccer camp. During practice, Perry would like each group of 5 children to share two soccer balls. How many soccer balls does Perry need if 25 kids attend camp?
A: 20 soccer balls
Hope this helped!
If you double 4 and if you double 1/2 then add 1, add 8 +1
Answer:
19?
Step-by-step explanation:
double of 4 is 8, double of 1/2 is 1 and adding them all together is 19
ANGLES IN TRIANGLES WORKSHEET
Answer:
x = 26
Step-by-step explanation:
90 + 52 + unknown angle = 180
142 + unknown angle = 180
unknown angle = 38
unknown angle + 116 + x = 180
38 + 116 + x = 180
154 + x = 180
x = 26
Step-by-step explanation:
Click here
Thanks guys :)
Mwhehe
plsss help me! I’m stuck :(
Answer:15 = 2 16 = -1.25
Step-by-step explanation:If you need any more help I'm usually available between 9 a.m - 3:50 pm
|2x+1| < 5
help please
Answer:
3
Step-by-step explanation:
Answer: x=2 and x=-3
Step-by-step explanation:
|2x+1|=5>|2x+1|=-5
2x+1=5 > 2x+1=-5
2x+1-1=5-1 > 2x+1-1=-5-1
2x=4 > 2x=-6
2x÷2=4÷2 > 2x÷2=-6÷2
x=2 > x=-3