Answer:
Point B = ( 3 , -2)
Step-by-step explanation:
Flip across y axis means change x from negative to positive (or positive to negative)
Given that f(x)= [tex]\frac{x^{2}-3 }{2}[/tex]
A) Find [tex]f^{-1}(x)[/tex]
B) Find [tex]f^{-1} (11)[/tex]
Separate your 2 answers for part B with a comma.
I've solved [tex]f^{-1}(x)[/tex], which was [tex]\sqrt{2x+3}[/tex]
However after this I do not see how I can get another value other than 5.
Answer:
[tex]x=5,-5[/tex]
Step-by-step explanation:
[tex]\\ y=\frac{x^2-3}{2}\\\\ x=\frac{y^2-3}{2}\\\\ 2x=y^2-3\\\\ y^2=2x+3\\\\ f^{-1}(x)=\pm\sqrt{2x+3}\\\\ f^{-1}(x)=\pm\sqrt{2(11)+3}\\=\pm\sqrt{25}=\pm 5[/tex]
Find the slope of the line through the given points.
(8,48) and (16, 24)
Answer:
-3
Step-by-step explanation:
48-24 = 24
8-16 = -8
24/-8 = -3
If a baseball player get a hit in 31% of his at-bats, what is the probability that he will
get a hit 5 at-bats in a row?
Given:
A baseball player get a hit in 31% of his at-bats.
To find:
The probability that he will get a hit 5 at-bats in a row.
Solution:
Since, a baseball player get a hit in 31% of his at-bats, therefore
Probability that he get a hit = [tex]\dfrac{31}{100}[/tex]
= [tex]0.31[/tex]
Now, the probability that he will get a hit 5 at-bats in a row is
[tex]P=0.31\times 0.31\times 0.31\times 0.31\times 0.31[/tex]
[tex]P=(0.31)^5[/tex]
[tex]P=0.0028629151 [/tex]
Therefore, the required probability is [tex](0.31)^5[/tex] and it can be written as 0.0028629151 .
1. Grace was given the equation 2x + 20 = 15. She decides to add 10 to both sides of the equation. a.) Is that an acceptable move? b.) What would her new equation be?
9514 1404 393
Answer:
yes2x +30 = 25Step-by-step explanation:
Adding the same number to both sides of the equation is an acceptable move. The addition property of equality tells Grace that the value of the variable will remain unchanged by such a move.
Her new equation would be ...
2x +20 +10 = 15 +10
2x +30 = 25 . . . . the result of Grace's move
_____
Additional comment
There may be very good reasons why Grace would want to do that. If solving the equation is Grace's intent, that move would be counterproductive. For the purpose of solving the equation, it would be more productive to either subtract 20 from both sides, or divide both sides by 2. These steps would give, respectively, ...
2x = -5
x +10 = 7.5
Choose the formula for the volume of a cone V = mrh written in terms of h.
Answer:
Choose the formula for the volume of a cone V = mrh written in terms of h.
Jamie ordered 200 business cards and paid $23. She ordered 500 business cards and few months later and paid $35. WRITE and SOLVE a linear equation to find the cost to order 700 business cards.
12 divide 4 x 7 - 18 =
Answer:
20
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
The difference of 9 and three times a number is that number increased by 5. Find the number. just give me the equation
Answer:
9-3n=n+5
Step-by-step explanation:
n= the number
Solve for x
Enter the solutions from least to greatest.
(x – 7)(-4x − 2) = 0
lesser x =
greater x =
Answer:
X= -1/2 X= 7
Answer:
lesser x= -5 Greater X= 5
Step-by-step explanation:
−x
2
−8
−x
2
x
2
=−33
=−25
=25
Hint #22 / 3
Now we can take the square root of both sides, not forgetting to take both the positive and negative roots of the right-hand side:
\begin{aligned} \sqrt{x^2}&=\sqrt{25} \\\\ x&=\pm 5 \end{aligned}
x
2
x
=
25
=±5
Hint #33 / 3
In conclusion,
\begin{aligned} \text{lesser }x &= -5 \\\\ \text{greater } x &= 5 \end{aligned}
lesser x
greater x
=−5
=5
I need help pleaseeeeeeee
Answer:
T = 7M/N
Step-by-step explanation:
Cross multiply
NT = 7M
Divide by N
NT/N = 7M/N
T = 7M/N
Tasia’s bank account balance was -$25.64. She deposited a check into her bank account and her new balance is $152.29. How much was the check that Tasia deposited into her account?
Answer:
$177.93
Step-by-step explanation:
Answer:
The check is 177.93$
Step-by-step explanation:
I did 25.64+152.29= 177.93
U can check it by doing -25.64+177.93
what is equivalent to x+x ?
a)xx
b)2x
c)x^2
d)2^x
Answer:
b
Step-by-step explanation:
I think it is B because x+x is two x's so it would be 2x. I hope this helped have a good day
A plane flies with a speed of 600 mph. What distance will it fly
in 3 /5 hours,11/12 hours, 4/15 hours?
Answer:
3/5=360 mph 11/12=550 4/15=160
Step-by-step explanation:
Yuri has 9 teaspoons of sugar. The ratio of teaspoons to tablespoons is 3:1. How many tablespoons of sugar does Yuri have?
gggggggggggggggggggggggggggggggggggggggggggggggg
How do I know if the triangles are simulat
Answer:
triangles are not similar because all angles of similar triangle's are equal but in the given figure one angle's are equal but other are not equal
Step-by-step explanation:
what is the value of h in the triangle
Answer:
I think the answer is 7.2
HELP ASAP WILL GIVE BRAINLIEST! Thanks
Answer:
I believe it's D
Step-by-step explanation:
In the diagram, DC bisects
We are given that ∠BDA is bisected
this means that ∠BDC = ∠ADC
Finding x :
Since ∠BDC = ∠ADC:
7x - 19 = 9x - 37
2x = 18
x = 9
Finding ∠ADC:
We are given that ∠ADC = 9x - 37
now that we know that x = 9, replacing x:
∠ADC = 9(9)- 37
∠ADC = 44°
find the value of banana
Answer:
36 divided by 3 is 12
watermelon = 12
28 - 12 = 16
16 divide 2
peach = 8
8-5 = 3
Banana = 5
A bus left town K
at 7 :15 am and at
2and a half hrs reached town T at
a distance of 2ookm /hr
It continued to town M
and reached to town
at, 11 45am
when did it reach to
town T?
Answer:
2 and half hour they will at T town
Answer:
two and half hour they will take to reach town .
A cone has a height of 5 inches and a radius of 4 inches. What is its volume?
Use a ~ 3.14 and round your answer to the nearest hundredth.
9514 1400 393
Answer:
83.73 in³
Step-by-step explanation:
It is appropriate to use the formula for the volume of a cone:
V = (1/3)πr²h
V = (1/3)(3.14)(4 in)²(5 in) ≈ 83.73 in³
The volume of the cone is about 83.73 in³.
Turner took a total of 8 quizzes over the course of 4 weeks. How many weeks of school will Turner have to attend this quarter before he will have taken a total of 16 quizzes? Assume the relationship is directly proportional. plz just put the answer
Answer:
8 wks
Step-by-step explanation:
It's 8 weeks
It's literally 8 weeks
1/3 as a decimal and percent please answer !!
Answer:
decimal: .3333(repeatin)
percent:33.333333...%
Step-by-step explanation:
hope this helpss
have a good night
nd good luck w thiss
Answer:
Decimal: .33
Percent: 33%
Step-by-step explanation:
To get the decimal, you divide the top number by the bottom number. So you divide 1 by 3, which equals .33
To get the percentage, you move the deciaml back twice.
.33 -> 3.3 -> 33.=33%
Help
Me I need the answer
Answer:
[tex]f(x)=\frac{x^{2} +4x+3}{x^{2} -4x+4}[/tex]
Step-by-step explanation:
The roots are x=-1 and x=-3, so (x+1) = 0 or (x+3) = 0. As long as one is 0, the product is 0.
(x+1)(x+3) = 0
x^{2} +4x+3=0
So the numerator function is x^{2} +4x+3=0
What is the slop of this table?Help fast!
What is J/-12 > 9??
Answer:
j > - 108
Step-by-step explanation:
Step 1:
j / - 12 > 9 Equation
Step 2:
j > 9 × - 12 Multiply - 12 on both sides
Answer:
j > - 108
Hope This Helps :)
Answer:
j<−108
Step-by-step explanation:
j
−12
>9
Step 1: Simplify both sides of the inequality.
−1
12
j>9
Step 2: Multiply both sides by 12/(-1).
(
12
−1
)*(
−1
12
j)>(
12
−1
)*(9)
j<−108
Answer:
j<−108
According to the U.S. Census Bureau, 11% of children in the United States lived with at least one grandparent in 2009 (USA TODAY, June 30, 2011). Suppose that in a recent sample of 1640 children, 225 were found to be living with at least one grandparent. At a 2% significance level, can you conclude that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%? Use both the p-value and the critical-value approaches.
Round your answers for the observed value of z and the critival value of z to two decimal places, and the p-value to four decimal places.
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.11[/tex]
The sample size is n = 1640
The number found to be living with at least one grandparent is [tex]k = 225[/tex]
The level of significance is [tex]\alpha = 0.02[/tex]
The null hypothesis is [tex]H_o : p = 0.11[/tex]
The alternative hypothesis is [tex]H_a : p > 0.11[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{ k }{n}[/tex]
=> [tex]\^ p = \frac{ 225 }{1640 }[/tex]
=> [tex]\^ p = 0.1372[/tex]
Generally the test statistics is mathematically represented as
[tex]z= \frac{\^ p - p }{ \sqrt{\frac{p(1- p)}{n} } }[/tex]
=>[tex]z = \frac{ 0.1372 - 0.11 }{ \sqrt{\frac{0.11(1- 0.11)}{1640} } }[/tex]
=>[tex]z = 0.0077[/tex]
From the z table the area under the normal curve to the left corresponding to 0.0077 is
[tex]p-value = P(Z > 0.0077) = 0.4969[/tex]
From the value obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%
BRAINLIEST: PLS HELP ME ASAP. Guaranteed brainliest and 20 points for the person who answers this. Thank you very much.
Answer:
whats your question? thanks for points
What is the slope m in the equation y = -2x + 5
Answer:
m = -2
General Formulas and Concepts:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step-by-step explanation:
Step 1: Define function
y = -2x + 5
Step 2: Break function
Slope m = -2
y-intercept (0, 5)
Consider the transformations performed on quadrilateral WXYZ.
. Translate 7 units to the right and 4 units up.
• Then, rotate 180° about the origin.
Do yk the answer ? Now ?
Answer:
(-4, -5)Step-by-step explanation:
Point Z has coordinates: (-3, 1)
Translate 7 units to the right and 4 units up: (x + 7, y + 4)
Z(-3, 1) → Z'(-3 + 7, 1 + 4) = (4, 5)Then, rotate 180° about the origin: (x, y) → (-x, -y)
Z'(4, 5) → Z''(-4, -5)