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.
Chris claims that any fraction located between 1/7
1/9 on a number line must have a
denominator of 8. Enter a fraction that shows Chris’ claim is incorrect.
Answer:
2/15
Step-by-step explanation:
if we multiple 1/7 and 1/9 by 2 we get 2/14 and 2/18. we can then get a fraction in between such as 2/15
Which is the best estimate of 90/7 divided by 1 3/4?
Answer:
7 17/49
Step-by-step explanation:
Convert mixed numbers to fractions:
= 90/7 ÷ 7/4
Apply the fraction rule:
= 90/7 * 4/7
Multiply fractions:
90 * 4 / 7 * 7
Simplify:
360/49
Convert improper fractions to mixed numbers:
= 7 17/49
I need help with homework in GoMath, 5th Grade, Lesson 2.5
20 points!!!
Part A: Solve −mk − 120 > 95 for m. Show your work. (4 points)
Part B: Solve 2c − 9f = 45 for f. Show your work. (6 points)
(20 points)
Answer:
m= -215/k
f=-5+2c/9
Step-by-step explanation:
Taylor is driving on the freeway at 55 miles per hour. What question finds her distance
Answer:
distance(miles) = number of hours driven * 55
Step-by-step explanation:
For the function h (2) = 9+ 6x , what is the domain of function h if the range is
{-12, -3, 15, 24}?
Answer:
x = 1/6 (h(2) - 9), h(2) element R
What is the interquartile range of the following data set?
45, 12, 48, 96, 61, 84, 29, 1,72,5,14
a.45
b.33
c.27
d.60
(apex)
Answer:
The interquartile range is 60 ⇒ D
Step-by-step explanation:
The interquartile range is the difference between the upper quartile and the lower quartile
Let us explain how to find the interquartile range
Arrange the number from smallest to greatestFind its median Q1 (the middle number in the set of numbers)Find the lower quartile Q1 which is the median of the set of the numbers before the median Find the upper quartile Q3 which is the median of the set of the numbers after the median Subtract Q1 from Q3 the answer is the interquartile rangeLet us do these steps to find it
∵ The data set is {45, 12, 48, 96, 61, 84, 29, 1, 72, 5, 14}
→ Arrange them
∴ The data set is {1, 5, 12, 14, 29, 45, 48, 61, 72, 84, 96}
∵ They are 11 numbers
∴ The middle number is the 6th number (5 before it and 5 after it)
∵ The 6th number is 45
∴ The median is 45
→ Find the lower set (before the median)
∴ The lower set is {1, 5, 12, 14, 29}
→ Find the lower quartile Q1
∵ The lower quartile is the middle number in this set
∵ There are 5 numbers
∴ The middle one is the 3rd
∵ The 3rd is 12
∴ Q1 = 12
→ Find the upper set (after the median)
∴ The upper set is {48, 61, 72, 84, 96}
→ Find the upper quartile Q3
∵ The upper quartile is the middle number in this set
∵ There are 5 numbers
∴ The middle one is the 3rd
∵ The 3rd is 72
∴ Q3 = 72
→ Subtract them to find the interquartile range
∵ The interquartile range = Q3 - Q1
∴ The interquartile range = 72 - 12
∴ The interquartile range = 60
For a continuous random variable X, P(23 ≤ X ≤ 66) = 0.25 and P(X > 66) = 0.14. Calculate the following probabilities. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.)
Complete question :
For a continuous random variable X, P(23 ≤ X ≤ 66) = 0.25 and P(X > 66) = 0.14. Calculate the following probabilities. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.)
a. P(X < 66)
b. P(X < 23)
c. P(X = 66)
Answer:
P(X < 66) = 0.86
P(X < 23) = 0.61
P(X = 66) = 0
Step-by-step explanation:
Given that:
X, P(23 ≤ X ≤ 66) = 0.25 and
P(X > 66) = 0.14 ;
Recall:
P(x ≤ a) + p(x ≥ a) = 1
Then ; P(X < 0.66) = 1 - 0.14 = 0.86
Hence,
P(X < 0.66) = 0.86
P(23 ≤ X ≤ 66) = 0.25
P(X < 66) = 0.86
Hence,
P(X < 23) = 0.86 - 0.25 = 0.61
Probability that a continuous random variable is exactly equal to a particular number equals 0
Hence,
P(X = 66) = 0
jana is a graphic designer. She created a poster for her friend’s movie on an 8.5 inches by 11 inches sheet of paper. Her friend’s movie has gotten a lot of publicity, and they want to put Jana’s poster on a billboard that is 12 feet wide and 16 feet high. How can they blow up the poster as much as possible while maintaining the ratio of the sides? a) Determine the length and width of the largest possible poster. b) What is the scale?
$4.30 makeup; 40% discount
Answer: free makeup
Step-by-step explanation: girl u got it
Answer:
40 percent of $4.30 is $1.72 and the cost of the makeup after the discount would be $2.58
Step-by-step explanation:
Y=6x+3
Find slope can anyone give me a step by step
Answer:
slope is 6/1 (or 6)
Step-by-step explanation:
your y-intercept is 3, so that means the point will be (0,3).
from there, you can start plotting points. up 6, over 1 (to the right)
the equation for a line is y=mx+b, so whatever number is in m will always be your slope, and whatever number is in b will be your y intercept
PLEASE HELP AS FAST AS YOU CAN ASAP DUE IN 30 MINUTES!!!!
the prism is made up of unit cubes. the side length of the unit cube is 1/4 inch
what us the volume of the prism
A. 3/8
B. 8
C. 24
D. 1/64
please explain as well
Answer:
C
<$&#&#;#;#;#;#
Step-by-step explanation:
1/4= 4x6=24
Answer:
C
Step-by-step explanation:
Simplify -9/6 divided by -3/2
If 3x-y=12, then y/3=?
Answer:
4
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
To find what y equals, x has to be 0.
3x-y=12
3(0)-y=12
-y=12 (multiply by -1 so y is not negative)
y=-12
Because y=-12 you need to do -12/3 to get your answer to y/3
-12/3=-4
PLEASE HELPPPP I WILL MAKE YOU THE BRANILEST The value of x and y are proportional. Find the Constant of Proportionality (k) and find the missing values. Explain in writing under each rate table.
X
9
5
y
36
16
8
Solve the logarithmic equation by writing in exponential form or by graphing.
log (7 − 2x) = −1
Answer:
10^-1 = 7 - 2x
Step-by-step explanation:
describe the steps to determining and graphing a translation.
Answer:
A TRANSLATION OF A GRAPH is its rigid movement, vertically or horizontally. On the left is the graph of the absolute value function. On the right is its translation to a "new origin" at (3, 4). y = |x|.
m∠3 + m∠6 =180° True or False?
Answer:
False. Because it is the answer.
Answer:
false
Step-by-step explanation:
I agree with the first guy
Students make 82.5 ounces of liquid soap for a craft fair. They put the soap in 5.5-ounce bottles and sell each bottle for $4.50. How much do the students earn if they sell all the bottles of liquid soap?
Answer:
$63
Step-by-step explanation:
Answer:
they made 67.5$
Step-by-step explanation:
82.5÷5.5 is 15 15×4.50 would be 67.5
51 = 11b – 15
Solve for b
Answer:
x = 6
Step-by-step explanation:
51 = 11b – 15
66 = 11b
b = 6
Please Help ASAP PLEASE !!!!!!!
Which mathematical property is demonstrated?
If y=−7 and −7=z, then y = z.
A. symmetric property of equality
B. closure property of multiplication
C. closure property of addition
D. transitive property of equality
Answer:
transitive property of equality
Step-by-step explanation:
I know cus i took the test also sorry it took so long dude
in abook 5/8 of the pages have pictures on them given that 70 pages have at least one picture on them work out the total numb in the pages
Answer:
112 pages
Step-by-step explanation:
Setup a ratio of 5/8 to 70/x and use the butterfly method to solve the equation and get 112. (I know I'm late)
If (-8, 3) is reflected across the x-axis the new point would be
Answer:
(-8, -3)
Step-by-step explanation:
If x = 3(y+w)– 1, what is the value of w in terms of x and y?
PLEASE HELP ILL GIVE BRAINLIEST! IGNORE WHERE IT SAYS 6 POINTS, THATS HOW MUCH ITS WORTH IN THE GRADEBOOK!
Answer: x = 13
Step-by-step explanation:
They are equal so set them equal and solve for x.
(4x+1) = 53
4x = 52
x = 13
Answer:
Since the lines l and m are parallel,
angle (4x + 1) and angle 53 are both corresponding angles
We know that corresponding angles are equal, so:
4x + 1 = 53
4x = 52
x = 13
you roll three six sided dice. what is the probability that exactly two of the dice are odd?
Answer:
3C2 * (.5)^2 * (.5)^1
.375
Step-by-step explanation:
...
The probability that exactly two of the dice are odd is 3/8
What is probability?"It is finding out the possibilities of the occurrence of an event."
Formula to find the probability of an event:"P(A) = n(A) / n(S)
where, n(A) is the number of favorable outcomes of an event A
n(S) is the total number of outcomes for an experiment"
What is Binomial theorem of probability?[tex]P=~ ^nC_r\times p^r \times q^{n-r}[/tex]
where, p is the probability of success and q is the probability of failure
For given example,
We roll three six sided dice.
We need to find the probability that exactly two of the dice are odd
the probability of success i. e. dice is odd would be,
⇒ p = 3/6
⇒ p = 1/2
So, the probability of failure would be,
⇒ q = 1 - p
⇒ q = 1 - 1/2
⇒ q = 1/2
Also, n = 3 and r = 2
Using Binomial distribution the required probability would be,
[tex]\Rightarrow P=~ ^nC_r\times p^r \times q^{n-r}\\\\\Rightarrow P=~ ^3C_2\times (\frac{1}{2} )^2 \times (\frac{1}{2} )^{3-2}\\\\\Rightarrow P =\frac{3!}{3!(3-2)!}\times \frac{1}{4} \times \frac{1}{2}\\\\ \Rightarrow \bold{P=\frac{3}{8}}[/tex]
Therefore, the probability that exactly two of the dice are odd is 3/8
Learn more about the probability here:
brainly.com/question/11234923
#SPJ2
look into the sky and how many stars do u see
Answer:
its day time rn
Step-by-step explanation:
step by step explanation
I need help fast
please help
13)
24 + f = 54
Show some work
Answer: 30
Step-by-step explanation:
24 + f = 54
f = 54 - 24
f = 30
Answer:
f=30
Step-by-step explanation:
You want to get x by itself on one side, so in order to do that, you need to subtract the 24, and if you do it one side, you need to do it to the other side.
That would give you:
24-24+f=54-24
then simplify it to be:
f=30
Find the value of x in the figure given that SU = 70.
Answer:
5
Step-by-step explanation: