let f(x)=|2x+10| and g(x)=|2x-24|. find all the values of x for which f(x)=g(x).
Answer:
8.5
Step-by-step explanation:
two cases:
1) 2x + 10 = 2x - 24, 10 = -24, impossible!
2) 2x + 10 = -(2x - 24)
2x + 10 = -2x - 24
4x = 34
x = 34/4 = 17/2 = 8.5
Can someone plz help me
Which of the expressions are equivalent to the one below? Check all that
apply.
(8 + 2) • 4 + 2
Answer:
The answer is D. (8•4 ) + (2•4) + 2
Answer:
The answer is only D.
Step-by-step explanation:
So let's look at this together:
Before we start anything, we MUST solve the equation that we are trying to find first. That way we can compare answers.
This is the problem we must solve using PEMDAS: (8 + 2) x 4 + 2 = 42 (USING PEMDAS)
Choice A:
8 x 4 + 2 + 2 =
We would need to use PEMDAS
P = Parenthesis
E = Exponents
M = Multiplication
D = Divison
A = Addition
S = Subtract
So for Choice A, we would go in order so starting with Parenthesis there is none, so we move on to Exponents. Since there is none we go to Multiplication. Now we Multiply 8 x 4 and get 32 and add 2 + 2. The sum doesn't add up to 42, so we know that the answer choice is wrong. If you keep doing this for all the answer choices, all of them would have a different number that wouldn't equal 42.
EXCEPT D. (8 x 4) + (2 x 4) + 2 = 42
HOPE THIS HELPS!
Please answer this correctly
Answer:
50%
OR
1/2
Step-by-step explanation:
The box and whisker plot shows the time spent from 4 to 6 hours is Quartile 1 to 3 which makes it 50%.
Convert the following rational number to a decimal. Round to the nearest thousandth when necessary.
3/5
Answer:
0.6
Step-by-step explanation:
3/5 is = 6/10, hence, 0.6
3/5 is only a simplification of 6/10.
Which of the following is the largest value?
O 1.002
0.993
O 1.010
2.001
0.939
Answer:
2001
Step-by-step explanation:2001
Plssss help i give brainliest
Answer:
28
Length=2(x-1)
Width=5
Area=length*width = (2(x-1))(5) = (2x-2)(5) = 10x-10
29
His reasoning is illogical because whether or not an expression has a term that is being subtracted isn't relevant; technically there are an infinite amount of ways to represent a value. Plus you can just compute the expressions and see that they're equal:
6x-2x+4 = 4x+4
4(x-1) = 4x+4
30
The two expressions are equal because when you compute the expression 4(n+3)-(3+n) , you get 3n+9:
4(n+3)-(3+n) = 4n+12-3-n = 3n+9
31
The two expressions are equal because when you compute the expression 2(2n-1), you get 4n-2.
2(2n-1) = (2)(2n)+(2)(-1)=4n-2
32
5(g+14)=(5)(g)+(5)(14)=5g+70
The expressions aren't equal as 5(g+14) equates to 5g+70 and 5g+70≠5g+14.
Study these equations:
f(x) = 2x – 4
g(x) = 3x + 1
What is h(x) = f(x)g(x)?
h(x) = 6x2 – 10x – 4
h(x) = 6x2 – 12x – 4
h(x) = 6x2 + 2x – 4
h(x) = 6x2 + 14x + 4
Answer:
6x2-10x-4
Step-by-step explanation:
hx=(2x-4)(3x+1)
hx=2x(3x+1)-4(3x+1)
hx=6x2+2x-12x-4
hx=6x2-10x-4
Simplify:
2
(
3
x
)
+
(
x
+
10
)
2(3x)+(x+10)
Answer:
7x+10
Step-by-step explanation:
2x(3x)+1x(x+10)
6x+1x+10
7x+10
What is the slope of the line that passes through the points (−4, −4)
and (2, 8)
Answer:
2
Step-by-step explanation:
lmk if you want an explanation
Given the function f(x)= x^2-7 and g(x) = 2x-x^3 what is the value of f(g(2))
Answer:
9
Step-by-step explanation:
First lets find g(2) because thats inside the f equation.
g(x) = 2x-x^3
g(2) = 2(2) - (2)^3
g(2) = 4 - 8
g(2) = - 4
So now we are finding
f(g(2)) => f(-4)
f(x) = x^2 - 7
f(-4) = (-4)^2 - 7
Remember, because the square is outside the parentheses due to us plugging in a value, it becomes positive
f(-4) = 16 - 7
f(-4) = 9
What is the mean, median, and standard deviation for the following set of scores: 24, 20, 16, 18, 18, 26, 22? Please show your work
Answer:
first: Definitions
mean: the average or the most common value in a collection of numbers
(So u add all numbers and then divide the answer by how much numbers there were)
median: Is middle value.
(example: 4, 5, 6) (The median will be the middle which is 5) (But if there are even amount of numbers like this: 4, 5, 6, 7) (Then you will get the two middle numbers which in this case are 5 and 6 you add them and then divide by 2.)
standard deviation: measures the spread of the data about the mean value
Step-by-step explanation:
Now lets get to problem!
we have numbers:
24, 20, 16, 18, 18, 26, 22
the mean will be: 144 (remember now you have to divide by 7 because there are 7 numbers.)
So it would be 20.57
Now the median:
(Since there are 7 numbers you just find the number in the middle and that would be ur median.)
24, 20, 16, 18, 18, 26, 22
median answer: 18
Like we said: The sample standard deviation measures the spread of a data distribution of the sample. It is usually used to estimate the population standard deviation
So the standard deviation will be: 3.6
I hope this helps :)
\(\sqrt{1.69}\)
1.3 Is that the answer you looking for
6x +30=-6 please explain what x is equal to
How is the answer the "Which of the following inequalities will require
the inequality symbol to be reversed when solving?
A −6x + 7 > −5 B 2x − 10 < 18
C 0.5x + 15 > 1 D 14x − 2 < 12" D 14x - 2 < 12
The equivalent inequality to 7 > -3x > -12 is -7/3 < x < 4.
What is inequalities ?
In mathematics, inequalities are statements that describe the relationship between two values or expressions. An inequality uses mathematical symbols to indicate whether one value is greater than, less than, or equal to another value.
solution :
7 > -3x
-3x > -12
For the first inequality, we can start by isolating the variable x by dividing both sides by -3, but we need to flip the inequality sign since we are dividing by a negative number:
7/(-3) < x
-7/3 < x
For the second inequality, we can also divide both sides by -3, but we need to flip the inequality sign again:
-3x/(-3) < -12/(-3)
x > 4
Putting these two inequalities together, we get:
-7/3 < x < 4
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Byron worked fewer than 20 days last month. Write an inequality for d, the number of days Byron worked last month.
Answer:
\(d < 20\)
Step-by-step explanation:
The key words in this question are fewer than, which signifies the less than sign. So, the number of days that Byron worked is less than 20.
what the answer for this area?
Answer:
the answer is 105
Step-by-step explanation:
because 5×3=15 so 15×7 =105
Why are there so many songs about rainbows
And what's on the other side?
Rainbows are visions, but only illusions
And rainbows have nothing to hide
So we've been told, and some choose to believe it
I know they're wrong, wait and see
Someday we'll find it, the rainbow connection
The lovers, the dreamers, and me
Who said that every wish would be heard and answered
When wished on the morning star?
Somebody thought of that, and someone believed it
Look what it's done so far
What's so amazing that keeps us stargazing
And what do we think we might see?
Someday we'll find it, the rainbow connection
The lovers, the dreamers, and me
All of us under its spell
We know that it's probably magic
Have you been half asleep, and have you heard voices?
I've heard them calling my name
Is this the sweet sound that calls the young sailors?
The voice might be one and the same
I've heard it too many times to ignore it
It's something that I'm supposed to be
Someday we'll find it, the rainbow connection
The lovers, the dreamers, and me
La-da-da, de-da-da-do
La-da-da-da-da-de-da-do
Answer:
You can’t see a rainbow from the other side. There is no other side. A rainbow happens when light is reflected from water droplets. If you get to the other side of the rain and look back, you can’t see the reflection. It would be like going behind a movie projection screen. You can’t see anything from the back side.
Step-by-step explanation:
How to make 10000 by only using number 8, No matter what the operation is
BRAINLIEST will be marked
Here is the answer
\(\\ \sf\longmapsto 8888+888+88+88+8+8+8+8+8+8\)
Similar Question .
Write 1000 using 8
Answer:-
888+88+8+8+8
Answer:
One of the options comes from this:
10000/8 = 1250It means 10000 contains 1250 of 8's:
1250 = 1111 + 139 = 1111 + 111 + 28 = 1111 + 111 + 11 + 11 + 6The 8's to make 10000 are:
10000 = 8888 + 888 + 88 + 88 + 8 + 8 + 8 + 8 + 8 + 8Mr. Tonroy hired Michael to make balloon animals for the children who visited a carnival. Michael was paid a base fee of $100.00 plus a fee of $1.50 per balloon animal made. If Michael was paid $295.00, how many balloon animals did Michael make?
Answer:
130 balloons
Step-by-step explanation:
Ever ran 3 miles.he stopped to take a break every 3-4 mile.
Answer:
Im pretty sure 3 times
Step-by-step explanation:
Can i get branliest and heart
Have a good day!
I would like to know how to solve question 8 please.
Step 1:
The question involved direct proportion, meaning, if one quantity increases, the other increases, and when one decreases, the other also decreases.
Step 2:
Let the number of pages = n
Let time = t
Step 3:
For direct proportion, you will divide.
\(\begin{gathered} \frac{n_1}{t_1}\text{ = }\frac{n_2}{t_2} \\ n_1\text{ = }20 \\ t_1\text{ = 15} \\ n_2\text{ = ?} \\ t_2\text{ = 25} \end{gathered}\)Step 2:
Substitute the values
\(\begin{gathered} \frac{20}{15}\text{ = }\frac{n}{25} \\ \text{Cross multiply} \\ 15n\text{ = 500} \\ n\text{ = }\frac{500}{15} \\ \text{n = 33}\frac{1}{3}\text{ pages.} \end{gathered}\)Final answer
\(She\text{ will read 33}\frac{1}{3}\text{ pages in 25 minutes}\)the long jump distance of four students are listed in the table below. How much farther did the student with the longest distance jump than the student with the shortest distance.
Joe 6.25
Shakira 4.37
Jackson 5.85
Chelsey 4.20
Answer:
5.85
Step-by-step explanation:
how long she is gonna be jumping
Which linear function represents a slope of ? A two column table with five rows. The first column, x, has the entries, 3, 6, 9, 12. The second column, y, has the entries, negative 11, 1, 13, 25. A coordinate plane with a straight line with a positive slope passing through (0, 3), (4, 4), and (8, 7). A two column table with five rows. The first column, x, has the entries, negative 5, negative 1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8. A coordinate plane with a straight line with a positive slope passing through (2, 0), (3, 4), and (4, 8)
The linear function which represents a slope of -3 as required in the task content is; A two column table with five rows. The first column, x, has the entries, negative 5, negative 1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8.
Which answer choice has a slope of -2?It follows that the task requires that a linear function whose slope, i.e rate of change is -2 is to be determined.
Since slope is the rate of change in y with respect to x;
The required linear function is; A two column table with five rows. The first column, x, has the entries, -5, -1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8 so that we have;
Slope = (24 - 32) / (-1 -(-5)) = -8 / 4 = -2.
Remarks: The complete question is such that the required slope is -2.
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Answer: the second option
Step-by-step explanation:
i took the assignment
Mr bailey plans to plant soybeans in 4 of every 9 acres This year he plans to farm 2,100 acres what is a reasonable estimate of the numbers of acres on which he will plant soybeans
A.60 B. 230 C.520 D.930
Option D, which is the closest choice to 933.33, is 930. As a result, 930 fraction acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans
what is fraction?A fraction is a number that represents a portion of a whole or a ratio between two quantities in mathematics. It is represented as a top number (numerator) over a bottom number (denominator) divided by a horizontal line, also known as a vinculum. The fraction 3/4, for example, represents three-quarters of a whole that has been divided into four equal parts. Proper fractions, improper fractions, and mixed numbers are all ways to express a fraction. A suitable fraction is one in which the numerator is less than the denominator, for example, 2/5.
Mr. Bailey intends to plant soybeans on 4 of every 9 acres, which equates to (4/9) of the total acres he farms.
If he intends to cultivate 2,100 acres, the number of acres planted with soybeans is:
(4/9) x 2,100 = 933.33
We must round this amount to the next whole number because he cannot plant soybeans on a fraction of an acre.
Option D, which is the closest choice to 933.33, is 930. As a result, 930 acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans.
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The conditional statement below is true. If possible, write the biconditional statement.
If 2x = 18, then x = 9.
The biconditional statement for the given conditional statement would be:
2x = 18 if and only if x = 9.
The given conditional statement "If 2x = 18, then x = 9" can be represented symbolically as p → q, where p represents the statement "2x = 18" and q represents the statement "x = 9".
To form the biconditional statement, we need to determine if the converse of the conditional statement is also true. The converse of the original statement is "If x = 9, then 2x = 18". Let's evaluate the converse statement.
If x = 9, then substituting this value into the equation 2x = 18 gives us 2(9) = 18, which is indeed true. Therefore, the converse of the original statement is true.
Based on this, we can write the biconditional statement:
2x = 18 if and only if x = 9.
The biconditional statement implies that if 2x is equal to 18, then x must be equal to 9, and conversely, if x is equal to 9, then 2x is equal to 18. The biconditional statement asserts the equivalence between the two statements, indicating that they always hold true together.
In summary, the biconditional statement is a concise way of expressing that 2x = 18 if and only if x = 9, capturing the mutual implication between the two statements.
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A certain state uses the following progressive
tax rate for calculating individual income tax:
Income
Range ($)
Progressive
Tax Rate
0-3000
2%
3001 - 5000
3%
5001 - 17,000
5%
17,001 and up
5.75%
Calculate the state income tax owed on a $90,000
per year salary.
tax = $[?]
Round your answer to the nearest whole dollar amount.
Enter
Answer:
$4918
Step-by-step explanation:
You want the tax owed on $90,000 using the given tax rate table.
Tax computationThe tax is the sum of the amounts of tax due in each income range.
tax = 0.0575(90,000 -17,000) +0.05(17,000 -5000) +0.03(5000 -3000) +0.02(3000)
= 0.0575(90,000) -(17000(.0575 -.05) +5000(.05 -.03) +3000(.03 -.02))
= 0.0575(90,000) -(127.50 +100 +30)
= 5175 -257.50 = 4917.50
Rounded to the nearest dollar, the tax due is $4,918.
__
Additional comment
The tax will be the maximum of ...
0.02x0.03x -30 . . . . . . . . . . applicable over 30000.05x -130 . . . . . . . . . .applicable over 50000.0575x -257.50 . . . . applicable over 17000You can compute them all and find the maximum, or you can choose the function applicable to the income amount. The result is the same.
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12. Find the area of sector with a central angle of 60° and radius 8 cm.
Answer:
cm2
If ok please list the steps tysm!!
(a) Estimate the result of 849.275×71.241 by rounding off each number to a suitable number of significant figures.
(b) Estimate the result of 258.41÷3.96 by rounding off each number to a suitable number of significant figures.
A is 60,503.200275
B is 60,503.200275
Question
If n(A) = 14, n(B) = 51, and n(An B) = 12, then what is n(A U B)?
The value of n(AUB) i.e. union of A and B is 53.
What are Intersections and Unions in Probablity?
The union of two sets results in a new set that contains all of the items from both sets. The union is abbreviated as A∪B or "A or B." The intersection of two sets yields a new set containing all of the members from both sets. The junction is denoted by the letters A∩B or "A and B."
Solution:
Given that,
n(A) = 14
n(B) = 51
n(A∩B) = 12
We know that thee formula is n(AUB) = n(A) + n(B) - n(A∩B)
Putting the values,
n(AUB) = 14 + 51 - 12 = 53
So, the answer for the value of n(AUB) = 53
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What's the area of the trapezoid?
Answer:
Mark brainliest please if i am correct one more brainliest please
Step-by-step explanation:
A=a+b
2h=15+25
2·5=100
Answer:
51.2
Step-by-step explanation:
plz mark me as brainliest