Answer:
f(x) = x^2 is a classic example
f( 3 ) = 9 and
f( -3 ) = 9, but
f^(-1)[9] is undefined because the result can be 3 and -3
Brian and Andie were calculating their total money saved to see if they could buy a game to share. Andie notices that she has 24 more dollars than Brian. If together they have $72, how much money does Brian and Andie have?
Answer:
Andie has 48 and Brian has 24
hope it's correct
If 3 Superscript 2 x 1 Baseline = 3 Superscript x 5, what is the value of x? 2 3 4 6.
The value of x that will make the expression equal is 4. Option B is correct.
Given the indices expression;
[tex]3^{2x+1} = 3^{x+5}[/tex]
Since the base values are the same, they will cancel out to have:
[tex]2x + 1 = x + 5[/tex]
Collect the like terms:
[tex]2x - x = 5 - 1\\x = 4\\[/tex]
Hence the value of x that will make the expression equal is 4
Learn more on indices here: https://brainly.com/question/10339517
Answer:
the correct option is C which is 4
Step-by-step explanation:
jesus loves you!!!!!!!!!
Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.
20% tip on a bill of $67.46
What is the equation for this parent graph?
Solve the system of equations -6x+5y=0 and −5x+5y=−5 by combining the equations.
Answer:
Step-by-step explanation:
-6x+5y=0 and −5x+5y=−5
Subtract the second from the first:
-6x+5y=0
5x-5y= 5
-x = 5
x = -5
Evaluate: 100−20.2×4.5.
i need this for imagen math
Answer:
359.1
Step-by-step explanation:
100 - 20.2 is 79.8
79.8 x 4.5 is 359.1
therefore it is 359.1
Which account option is more convenient for frequent check or debit card withdrawals and purchases but gains no interest?
A. Checking
B. Certificate of deposit
C. Savings
D. Money market
The best account if one plans to make frequent withdrawals via check or debit card is A. Checking account
Checking accounts:
Are the least interest bearing accounts Allow for frequent withdrawals using a check or debt card Charge lower feesChecking accounts are best when a person wants easy access to their money because they can get to it via checks or debit cards. The drawback however, is that interest on these accounts are low.
In conclusion, option A is correct.
Find out more about checking accounts at https://brainly.com/question/21714367.
A recent study revealed the typical American coffee drinker consumes an average of 3.1 cups per day. A sample of 12 senior citizens revealed they consumed the following amounts of coffee, reported in cups, yesterday.
3.1, 3.3 ,3.5 ,2.6, 2.6, 4.3, 4.4 ,3.8 ,3.1 ,4.1 ,3.1, 3.2
(a) State the null hypothesis and the alternate hypothesis. (Round your answers to 1 decimal place.)
(b) State the decision rule for 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
(c) Compute the value of the test statistic. (Round your answer to 3 decimal places.)
(d) Do these sample data suggest there is a difference between the national average and the sample mean of the senior citizens?
Using the t-distribution, it is found that:
a)
The null hypothesis is [tex]H_0: \mu = 3.1[/tex]
The alternative hypothesis is [tex]H_1: \mu \neq 3.1[/tex]
b)
|t| < 2.201: Do not reject the null hypothesis.|t| > 2.201: Reject the null hypothesis.c) t = 1.853
d) Since |t| = 1.853 < 2.2, we do not reject the null hypothesis, that is, the sample data does not suggest that there is a difference between the national average and the sample mean of the senior citizens.
Item a:
At the null hypothesis, it is tested if the estimate of 3.1 cups per day is correct, that is:
[tex]H_0: \mu = 3.1[/tex]
At the alternative hypothesis, it is tested if the estimate is not correct, that is:
[tex]H_1: \mu \neq 3.1[/tex]
Item b:
This is a two-tailed test, as we are testing if the mean is different of a value, with 12 - 1 = 11 df and a significance level of 0.05, hence, the critical value is [tex]t^{\ast} = 2.2[/tex].
Then, the decision rule is:
|t| < 2.201: Do not reject the null hypothesis.|t| > 2.201: Reject the null hypothesis.Item c:
We can find the standard deviation for the sample, hence, the t-distribution is used.
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.The values of the parameters, with the help of a calculator for the sample mean and standard deviation, are given by: [tex]\overline{x} = 3.425, \mu = 3.1, s = 0.6077, n = 12[/tex]
Hence, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{3.425 - 3.1}{\frac{0.6077}{\sqrt{12}}}[/tex]
[tex]t = 1.853[/tex]
Item d:
Since |t| = 1.853 < 2.2, we do not reject the null hypothesis, that is, the sample data does not suggest that there is a difference between the national average and the sample mean of the senior citizens.
A similar problem is given at https://brainly.com/question/24826023
brainlyest, plus 5 points
PLEASE STEP BY STEP
Evaluate x/2+5y-1.5 when x = 10 and y = 8
Answer:
43.5
Step-by-step explanation:
x/2+5y-1.5
10/2+5×8-1.5
5+40-1.5
5+38.5
=43.5
Answer:
43.5
Step-by-step explanation:
x ÷ 2 + 5y - 1.5
Start by replacing the x's and y's
10 ÷ 2 + (5 · 8) - 1.5
Start with parenthesis
10 ÷ 2 + 40 - 1.5
Then do the division
5 + 40 - 1.5
Then go left to right
45 - 1.5
43.5
I hope this helps!!!
check the picture and youll know.
Answer:
24
Step-by-step explanation:
18/3/4. 18 divided by 3/4 is 18x4/3 which is 72/3=24
What is:
9e−7=7e−11
Show Work
Answer: -2
Step-by-step explanation:
9e-7=7e-11
-7e -7e
2e-7=-11
+7 +7
2e=-4
/2 /2
e=-2
Urgent!
<6 and what angle are corresponding angles?
Answer:
11
Step-by-step explanation:
Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).
Darren got 42 out of 56 correct on a test. What percent of the questions did he get correct?
Answer: Darren got 75% of the questions correct.
Step-by-step explanation:
To find the percentage of questions Darren got correct, we can divide the questions he got correct by the total number of questions.
42 ÷ 56 = 0.75
0.75 X 100 = 75
So, Darren got 75% of the questions correct.
If Sue worked 28 hours this week and made $172 in tips, how much did her weekly pay
exceed what she would have made with minimum wage?
Answer: 28 hours over 172$ that mean 6.14 per hour
so 257.88$ minimum for 42 hours
Step-by-step explanation:
28 hours over 172$ that mean 6.14 per hour
so if we say she work in one day 6 hours that mean in one weak 42 hours
so 42*6.14= 257.88 $
A fishbowl has a capacity of 192 fluid ounces. How many quarts is that?
Answer:
hope this helps
Step-by-step explanation:
192 fl oz. = 6 quarts
to get this you divide the fluid ounces by 32.
5y+4x=10.51 8y+3x=10.39
Answer:
(x, y) = (1.89, 0.59)
Step-by-step explanation:
Written in general form, the equations are ...
4x +5y -10.51 = 0
3x +8y -10.39 = 0
These can be solved using the cross-multiplication method to find ...
∆1 = (4)(8) -(3)(5) = 17
∆2 = (5)(-10.39) -(8)(-10.51) = 32.13
∆3 = (-10.51)(3) -(-10.39)(4) = 10.03
Then the values of the variables are ...
x = ∆2/∆1 = 32.13/17 = 1.89
y = ∆3/∆1 = 10.03/17 = 0.59
The solution is (x, y) = (1.89, 0.59).
Triangle ABC is translated left 1 units, and dilated by a scale factor of 2.
Write in the coordinates of vertices A'B'C'.
Answer:
Step-by-step explanation:
( x , y ) ----> ( x - 1 , y ) ------> ( 2(x-1) , 2y ) = ( 2x - 2 , 2y )
solve the following methods
don't know when you find out tell me
Solve for x
3x+7=28
Answer:
X=7
Step-by-step explanation:
Answer:
x = 7Step-by-step explanation:
3x + 7 = 28=> 3x = 28 - 7=> 3x = 21=> x = 7Conclusion:
Therefore
x = 7.Hoped this helped.
[tex]GeniusUser[/tex]
4d-6=-14+5d
NEED HELP ASAP
Answer:
Hewo There!!!
____________________
Isolate the variable by dividing each side by factors that don't contain the variable.
d = 8
____________________
“Darkness cannot drive out darkness: only light can do that. Hate cannot drive out hate: only love can do that.”
― Martin Luther King Jr., A Testament of Hope: The Essential Writings and Speeches
_______________________
Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn
estimate 417 x 63 equals to
Answer:
24000
Step-by-step explanation:
400 can be rounded to 400 and 63 can be rounded to 60
400x60=24000
your exact product would be 26271
hope this helps
help please brainliest and 30 pts
Answer: B though im not sure
Step-by-step explanation:
A 3 to 1
B 6 to 2
C 7 to 2
D 9 to 3
Answer:
yo what is your question??????
Step-by-step explanation:
Maybe c 7 to 2
Can i please have help with this question brainliest for corecct answer
answer is D
graduent should be m¹×m²=-1
and should be the inverse of the other
Solve each equation.
1) | 2x - 4 | = 10
2) -5 | -4x + 4 | - 7 = -67
Show all work please :D
[tex](1)\\\\|2x-4| =10\\\\\implies 2x-4 = 10~~ \text{or}~~ 2x -4 = -10\\\\\implies x = \dfrac{14}2 = 7 ~~\text{or}~~ x = -\dfrac{6}2=-3\\\\\\(2)\\\\-5|-4x+4|-7 = -67\\\\\implies -5|-4x+4| = -67 +7 = -60\\\\\implies |-4(x-1)| = \dfrac{-60}{-5}=12\\\\\implies 4|x-1| = 12\\\\\implies |x-1| =\dfrac{12}4 = 3\\\\\implies x-1 = -3~~\text{or}~~ x-1=3\\\\\implies x = -2~~ \text{or}~~ x = 4[/tex]
43. Write a system of equations that is equivalent to each of the systems of equations below
2x + 3y = 4
12x+3y=1
X-7y=8
5x+4y=20
1.
The new system of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1
To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.
So, 2x + 3y = 4 (1)
12x + 3y = 1 (2)
We multiply equation (1) by 2
So, 2x + 3y = 4 (1) × 2
⇒4x + 6y = 8 (3)
Replacing (1) by (3), we have
4x + 6y = 8 (3)
12x + 3y = 1 (2)
So, the new system of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1.
2.
The new system of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20
To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.
So,
x - 7y = 8 (1)
5x + 4y = 20 (2)
We multiply equation (1) by 3, we have
So, x - 7y = 8 (1) × 3
⇒3x - 21y = 24 (3)
Replacing (1) by (3), we have
3x - 21y = 24 (3)
5x + 4y = 20 (2)
So, the new system of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20.
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If x = 1 and y = 2 is a solution to the simultaneous equation ax + by = 2 and bx + a^(2)y = 10, find the possible values of a and b.
Answer:
a = - 2, [tex]\frac{9}{4}[/tex] , b = 2, - [tex]\frac{1}{8}[/tex]
Step-by-step explanation:
Since x = 1, y = 2 is a solution to the equations , then substitute these values into the 2 equations and solve for a and b
a + 2b = 2 → (1)
b + 2a² = 10 → (2)
In (1) subtract 2b from both sides
a = 2 - 2b → (3)
Substitute a = 2 - 2b into (2)
b + 2(2 - 2b)² = 10 ← expand parenthesis using FOIL
b + 2(4 - 8b + 4b²) = 10 ( simplify left side )
b + 8 - 16b + 8b² = 10 ( subtract 10 from both sides )
8b² - 15b - 2 = 0
Consider the factors of the product of the coefficient of the b² term and the constant term which sum to give the coefficient of the b- term
product = 8 × - 2 = - 16 and sum = - 15
The factors are - 16 and + 1
Use these factors to split the b- term
8b² - 16b + b - 2 = 0 ( factor first/second and third/fourth terms )
8b(b - 2) + 1(b - 2) = 0 ← factor out (b - 2) from each term
(b - 2)(8b + 1) = 0
Equate each factor to zero and solve for b
b - 2 = 0 ⇒ b = 2
8b + 1 = 0 ⇒ 8b = - 1 ⇒ b = - [tex]\frac{1}{8}[/tex]
Substitute these values into (3) and evaluate for a
b = 2 ⇒ a = 2 - 2(2) = 2 - 4 = - 2
b = - [tex]\frac{1}{8}[/tex] ⇒ a = 2 - 2(- [tex]\frac{1}{8}[/tex] ) = 2 + [tex]\frac{1}{4}[/tex] = 2 [tex]\frac{1}{4}[/tex] = [tex]\frac{9}{4}[/tex]
The possible values of a and b are 8, -3 or 9/4 , -1/8 respectively.
What is an equation ?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given equations are,
ax + by = 2 (1)
and bx + a²y = 10 (2)
Also, x = 1 and y = 2 are the solution of the equation,
Substitute x = 1 and y = 2in equation (1),
a(1) + b(2) = 2
a + 2b = 2 (3)
Further substitute x = 1 and y = 2 in equation (2),
b(1) + a²(2) = 10
2a² + b = 10 (4)
By solving equation (3) and (4),
The possible values of a are 8 and 9/4.
And possible value of b are -3 and -1/8.
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what's the points distance I need help!
Answer:
Step-by-step explanation:
3.6
Find the LCM of 8, 4 and 6.
Answer:
Answer: LCM of 4, 6, and 8 is 24.
Answer:
24Step-by-step explanation:
8 → 8, 16, 24, 32, 40
4 → 4, 8, 12, 16, 20, 24, 28, 32, 36
6 → 6, 12, 18, 24, 30, 36
----------------------------------
So the LCM is 24.
-----------------------------------
- Hope it helps!
- Have a good day!
If f(x) = 9(x - 7)^2 – 8
Find f( – 4)
Answer:
1,081
[tex]f( - 4) = 9( - 4 - 7) {}^{2} - 8 \\ f( - 4) = 9( - 11 {)}^{2} - 8 \\ f( - 4) = 1081[/tex]