Answer: k = {8, -8}
Step-by-step explanation:
In order for a quadratic equation to have exactly one solution, the discriminant must equal zero. → b² - 4ac = 0
4x² + kx + 4 = 0
↓ ↓ ↓
a=4 b=k c=4
b² - 4ac = 0
k² - 4(4)(4) = 0
k² = 64
k = √64
k = ± 8
In the inequality -2|2x-3|>-12, what is the range for x?
9514 1404 393
Answer:
-3/2 < x < 9/2
Step-by-step explanation:
You can divide the inequality by -2, then rewrite as a compound inequality:
|2x -3| < 6
-6 < 2x -3 < 6
Add 3 and divide by 2:
-3 < 2x < 9
-3/2 < x < 9/2
Line a is parallel to line t solve for x
Answer:
Sorry dude, I need more context. Can you write out the full equation if there's more? Sorry.
Step-by-step explanation:
What do numbers have a difference of 8
Answer:
20-12=8
here it is the difference is 8.
Choose the SIMPLIFIED fraction that accurately represents the repeating decimal. (Each of these)
1. 0.333
2.0.454545
3.0.353535
4.242424
5.0.393939
Answer:
1) 1/3
2) 45/99
3) 35/99
4) 24/99
5) 39/99
Explanation:
1) 0.333 = 0.333/1 = 0.999/3 ≈ 1/3
2) 0.454545 ; 100x ≈ 45.45 ; x ≈ 0.45 ; 45.45-.45 = 45 ; 100x-x = 99 ; x = 45/99
3) 0.354535 ; 100x ≈ 35.35 ; x ≈ 0.35 ; 35.35-.35= 35; 100x-x = 99x ; x = 35/99
4) 0.242424 ; 100x ≈ 24.24 ; x ≈ 0.24 ; 24.24-.24 = 24 ; 100x-x = 99x ; x = 24/99
5) 0.393939 ; 100x ≈ 39.39 ; x ≈ 0.39 ; 24.24-.24 = 24 ; 100x-x = 99x ; x = 39/99
the difference between half of a number and 9 is 17
Answer:
4
Step-by-step explanation:
9 divided by 2 is 4.5 17 divided by 2 is 8.5 subtract the two to get 4
Answer: The difference between 26 and 9 is 17
Ava read an article claiming that 10% of people in her county were senior citizens, and she wondered if this held true for residents in her city. She took a random sample of 225 people from her city to test H0 : p = 0.10, where p is the proportion of people in her city that are senior citizens. Ava found that approximately 14% of those sampled were senior citizens. She conducted an appropriate significance test, and the resulting test statistic was z ≈ 1.89z. Assume that the conditions for inference were met.
Complete Question
Ava read an article claiming that 10% of people in her county were senior citizens, and she wondered if this held true for residents in her city. She took a random sample of 225 people from her city to test H0 : p = 0.10, where p is the proportion of people in her city that are senior citizens. Ava found that approximately 14% of those sampled were senior citizens. She conducted an appropriate significance test, and the resulting test statistic was z ≈ 1.89 z. Assume that the conditions for inference were met.calculate the p-value for Ellie's significance test
Answer:
The p-value is [tex]p-value = 0.0588[/tex]
Step-by-step explanation:
From the question we are told that
The percentage of senior citizens is p = 0.10
The sample size is [tex]n = 225[/tex]
The sample proportion is [tex]\^{p} = 0.14[/tex]
The test statistics is [tex] z \approx = 1.89[/tex]
The null hypothesis is [tex]H_o : p = 0.10[/tex]
The alternative hypothesis is [tex]H_a : p \ne 0.10[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(Z > 1.89 )[/tex]
From the z-table
[tex]P(Z > 1.89 ) = 0.029379[/tex]
=> [tex]p-value = 2 * 0.029379[/tex]
=> [tex]p-value = 0.0588[/tex]
Answer:
No because 0.06>0.05
Step-by-step explanation:
kahn
Order the following from least to greatest.
0.67,6.7%, 6/7
Answer:
from least to greatest.= 6.7%, 0.67, 6/7
Answer: 6.7%, 0.67, 6/7
Step-by-step explanation:
6.7% is less than 0.67.
0.67 is less than 6/7.
So, the order is 6.7%, 0.67, and 6/7.
Two cars are traveling in the same direction. The first car is going 40mph, and the second car is going 55 mph. The first car left 3 hours before the second car. Which equation could you use to find how many hours it will take for the second car to catch up to the first car? hint: how many miles has the first car gone in those 3 hours?
Assuming both cars start at the same position, in the first 3 hours the first car covers a distance of
(40 mi/h) (3 h) = 120 mi
Take the 3 hour mark to be the origin, so that the first car's position after t hours is
120 mi + (40 mi/h) t
while the second car's position is
(55 mi/h) t
The second car catches up to the first when their positions are equal:
120 mi + (40 mi/h) t = (55 mi/h) t
120 mi = (15 mi/h) t
t = (120 mi) / (15 mi/h)
t = 8 h
state which of the following sets of ordered pairs represents a function. Please pick the best option
Set A: (5, 2), (4, 3), (3, 4), (2, 5) Set B: (-1, -6), (0, 2), (1, 2), (3, 6)
Set B: (-1, -6), (0, 2), (1, 2), (3, 6)
Set C: (2, 1), (4, 2), (2, 3), (8, 4)
a. Set C
b. Set B
c. Set A
d. Set A and Set B
I would really appreciate it if you could help me out!
Answer:
set A and set B...it is the best and right option bro...option c is wrong because 2 elements of domain has relation with 1 range
I WILL GIVE BRAINLIEST
All of the following statements describe the relation shown except _____.
The diagram represents a function.
The inputs are {-1, 0, 3, 4}.
The outputs are {-2, -1, 1}.
This relation could also be represented as {(-1, 1), (0, -2), (3, 1), (4, -1)}.
Answer:
132
Step-by-step explanation:
Answer:
{-1, 0, 3, 4}.
Step-by-step explanation:
sorry if this is incorrect
3. Kasey Marsenburg is a financial consultant for ABC Finance.
She eams $748.00 weekly. Her annual group medical coverage
costs $9.560, of which ABC Finance pays 65%. How much is
deducted weekly from her paycheck for medical coverage?
Answer:
Step-by-step explanation:
100-65=35%
Choose a true statement.
g(x) is not a function because f(x) is not a
function.
O g(x) is not a function because f(x) is not one-
to-one.
O g(x) is a function because f(x) is one-to-one.
O g(x) is a function because f(x) is not one-to-
one.
Answer: c
Step-by-step explanation:
The correct statement is that g(x) is a function because f(x) is one-to-one.
What is an inverse function?First to be an inverse function that function needs to one to one function, meaning every different preimage must correspond to a different image.
We can obtain the inverse of a function by switching the variables x and y with their respective positions and solving for y in terms of x.
We know a function f(x) has its inverse g(x) if and only if f(x) is a one-to-one function.
From the given statements the only true statement is, g(x) is a function because f(x) is one-to-one.
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Can somebody pls answer these three questions ASAPPPP!!!!
Answer:
1) x = 3/2 2) x = 6 3) x = 3
Step-by-step explanation:
For Number 1:
4(x+8)−4=34
Step 1: Simplify both sides of the equation.
4(x+8)−4=34
(4)(x)+(4)(8)+−4=34(Distribute)
4x+32+−4=34
(4x)+(32+−4)=34(Combine Like Terms)
4x+28=34
Step 2: Subtract 28 from both sides.
4x=6
Step 3: Divide both sides by 4.
4x/4 = 6/4
x = 3/2
For Number 2:
2/3(9+x)=−5(4−x)
Step 1: Simplify both sides of the equation.
6 + 2/3x = −20+5x
Step 2: Subtract 5x from both sides.
−13 /3 x+6=−20
Step 3: Subtract 6 from both sides.
-13/3x = -26
Step 4: Multiply both sides by 3/(-13)
x = 6
For Number 3:
−3(x+4)+15=6−4x
Step 1: Simplify both sides of the equation.
−3(x+4)+15=6−4x
(−3)(x)+(−3)(4)+15=6+−4x(Distribute)
−3x+−12+15=6+−4x
(−3x)+(−12+15)=−4x+6(Combine Like Terms)
−3x+3=−4x+6
−3x+3=−4x+6
Step 2: Add 4x to both sides.
−3x+3+4x=−4x+6+4x
x+3=6
Step 3: Subtract 3 from both sides.
x+3−3=6−3
x = 3
hugo sells handmade key chains online yesterday he made 6 keychains in 30 minutes hugo wants to make 9 keychains today if hugo works at the same rate today how long will it take him to make the keychains
Answer: 45 minutes.
Step-by-step explanation:
First, divide. 30 divided by 6 is 5.
Then, multiply 5 and 9. That equals 45 so 45 is your answer.
It takes 45 minutes to make the 9 keychains.
Given that, Hugo sells handmade key chains online yesterday he made 6 keychains in 30 minutes.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Let the time taken to make 9 keychains be x.
Now, 6:30::9:x
⇒ 6×x=30×9
⇒ 6x=270
⇒ x=45 minutes
Therefore, it takes 45 minutes to make the 9 keychains.
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23.85 + 7.42 + 16.15
Answer:
47.42
Step-by-step explanation:
Try solving this way
23.85
+07.42
+16.16
=======
47.42
Which phrase matches the algebraic expression below? (1 point)
3(x + 7) + 10
Answer:
Add 10 to three times the value of x minus 7.
Step-by-step explanation:
Answer:
Three times the difference of X and seven plus ten
Step-by-step explanation:
help I have no clue what this is
Answer:1/20
Step-by-step explanation:mark me as brainliest
I will give the BRAINIEST!!! Please help!!
The sidewalks on both sides of Peach St. are parallel. One sidewalk can be modeled by the equation 2x-y=-1. Which equation could model the other sidewalk?
a. 2x+y=8
b.y-1=2(x-3)
c. y-1=-2(x-3)
d.y=-1/2x+3
Answer: B. y-1=2(x-3)
Step-by-step explanation:
First subtract both sides by 2x so it becomes -y=-2x-1
Second divide both sides by -1 so it becomes y=2x+1
After that to get it in the form they want it subtract 1 from both sides so that it becomes y-1=2x
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
A bag contains eight tiles labeled A, B, C, D, E, F, G, and H. One tile will be randomly picked.
What is the probability of picking a vowel?
Write your answer as a fraction.
Answer:
Very low, 2/8 or 1/4.
Step-by-step explanation:
9. A candle has an initial height of12 inches. Sara lights the candle and it begins to melt at an average rate of 0.5
inch per hour. Which function can be used to find the height of the candle inches after x hours?
A) H(X) = 0.5(x +12) B) H(x) = -0.5(x +12) C)H(x) = 12 +0.5x
+
D) H(X) = 12 -0.5x
1 Pt
А.
B
D
E
Answer:
D
Step-by-step explanation:
h(x)=12-0.5x
x=hour
write 1/64^2 using a negative exponent
▪ Answer:
2^(-12)
▪ Step-by-step explanation:
Hi there!
1/64^2 =
= 1/(2^6)^2
= 1/2^12
= 2^(-12)
Good luck !
use
(a^b)^c = a^(b×c)
1/a^b = a^(-b)
THIS IS URGENTTDetermine whether each table represents a function. Select Function or Not a Function for each table.
Answer:
1st table: Not a function
2nd table: Function
3rd table: Not a function
4th table: Function
Step-by-step explanation:
The functions pass the verticle line test
meaning, there is only one x value for any y value
three out of four students in school have a least one sibling. If there are 300 students in your school, how many would have a least one sibling
25 I think.... I am sorry if its wrong
This is two or more equations with common variables, also known as a linear system.
HELP PLEASE.........
Answer:
Step-by-step explanation:
Before I can answer this, please furthermore evaluate on what the acronyms MAD and IQR stand for, and I will update my answer. Thank you!
i already know the answer can someone explain or show me how to do it on a numberline
Answer:
I'm not sure what the question is but an example question could be
"Take 5 away from 3."
For this you would go to three on the number line and then move left five gaps. You would land on -2
another example: "Add 4 to -3."
For this, you would go to -3 on the number line, and then move right 4 times. you would land on 1.
Answer:
4.5
Step-by-step explanation:
just move 1 1/2 steps to the left
What is the apparent range of the function of x shown?
A) The set of all real numbers greater than or equal to 1
B) The set of all real numbers less than or equal to 1
C) The set of all real numbers greater than or equal to 4
D) The set of all real numbers
(PLEASE LOOK AT THE PICTURE BEFORE ANSWERING)
Select the correct answer. The steps for solving the given equation are shown below. 8-3x=20 Select the correct equation for the missing step in the table.
Answer:
C
Step-by-step explanation:
Multiplying by the reciprocal is the same as division.
Answer:
its actually (b) addition property of equality
Step-by-step explanation:
i got the answer correct on edmentum
5X+17=7 PLEASE HELP FAST
Answer:
x = -2Step-by-step explanation:
5X + 17 = 7
subtract 17 each side
5x + 17 - 17 = 7 - 17
divide 5 both sides
5x = -10
5x/5 = -10/5
x = -2
The solution of expression is,
⇒ x = - 2
We have to given that;
The expression is,
⇒ 5x + 17 = 7
Now, We can simplify as;
⇒ 5x + 17 = 7
Subtract 17 both side,
⇒ 5x = 7 - 17
⇒ 5x =- 10
Divide by 5;
⇒ x = - 10/5
⇒ x = - 2
Thus, The solution of expression is,
⇒ x = - 2
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