−f−5(2f−3)minus, f, minus, 5, left parenthesis, 2, f, minus, 3, right parenthesis ?
The expression f - 5(2f – 3) is equivalent to two other expressions, option (a) -11f-3 and option (b) -11f + 15.
In mathematics, an expression is a combination of symbols, operated on by certain mathematical operations to create a numerical value or a function.
To understand why this is the case, let's break down the expression.
The first part of the expression is just the variable f, so that is unchanged. The second part involves the multiplication of -5 and (2f – 3).
To evaluate this part, we need to use the order of operations. First, we multiply -5 and 2f and get -10f.
Then, we subtract 3 from this result and get -11f.
Therefore, the expression f - 5(2f – 3) is equivalent to -11f-3 and -11f + 15.
Therefore, the correct options are both (a) and (b).
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Complete Question:
Which expressions are equivalent to - f - 5(2f – 3)?
Choose all answers that apply:
a) -11f-3
b)-11f + 15
c) None of the above
If m∠AOD = (7x − 5)° and m∠BOC = (3x + 15)°, what is m∠BOC?
A. 5°
B. 30°
C. 39°
D.60°
To find the measure of angle BOC, set the expressions for m∠AOD and m∠BOC equal and solve for x. Then substitute the value of x back into the expression for m∠BOC to find its measure, which is 30°.
Explanation:To find the measure of angle BOC, we can set the expressions for m∠AOD and m∠BOC equal to each other and solve for x.
7x - 5 = 3x + 15
Subtract 3x from both sides: 4x - 5 = 15
Add 5 to both sides: 4x = 20
Divide both sides by 4: x = 5
Now that we know x = 5, we can substitute it back into the expression for m∠BOC to find its measure.
m∠BOC = (3x + 15)° = (3*5 + 15)° = 30°
Therefore, the measure of ∠BOC is 30°, which corresponds to option B.
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what is the image of the point (2, 4) reflected across the x axis ?
Answer:
(2, -4)
Explanation:
When we reflect a point across the x-axis, we change the coordinates as follows:
(x, y) -----> (x, -y)
Then, the image of the point (2, 4) reflected across the x-axis is:
(2, 4) ------> (2, -4)
What is the answer to that
Answer:
(1/3)x + 3 >= 3
<=> (1/3)x >= 0
<=> x >= 0
=> The only value from set satisfies, that is 0.
Hope this helps!
:)
Answer:
0
Step-by-step explanation:
⅓x + 3 》3
⅓x 》0
x 》0
you randomly select one card from a standard deck of 52 playing cards find the probability of selecting the six of spades or the nine of clubs
There are 52 cards in the deck.
Picking the 6 of spades or 9 of clubs are two of the possible cards you could pick.
Your probability is 2/52 or 1/26 or 3.8461538461538%.
2r²-32 quadratic equation
Answer:
r = ±4.
Step-by-step explanation:
The general form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants. To write the equation 2r^2 - 32 in this form, you can subtract 32 from both sides to get 2r^2 - 32 = -32, and then divide both sides by 2 to get r^2 - 16 = -16. Finally, you can add 16 to both sides to get r^2 = 0, which is the standard form of a quadratic equation.
So, the equation 2r^2 - 32 = 0 can be written as the quadratic equation r^2 = 16, which has two real roots, r = ±4.
question 7 this question has two parts. first, answer part a. then, answer part b. part a the point (-3, 6) is on a line with a slope of 4. select all the points you would also find on the line. multiple select question. a) (- 1, 14) b) (- 2, 10) c) (0, 0) d) ( 1, 14) e) (2, 10) part b fill in the blank question. complete the equation for the line.
Answer:
Part a: a) (-1, 14) and b) (-2, 10)
Part of b: Equation of the line: y = 4x + 18
Step-by-step explanation:
Part a Step 1: Find the equation of the line in slope-intercept form:
The general equation of the slope=intercept form is:
y = mx + b, where
(x, y) are one point on the line,m is the slope,and b is the y-intercept.We can plug in (-3, 6) for (x, y) and 4 form to find b, the y-intercept of the line:
6 = 4(-3) + b
6 = -12 + b
18 = b
Thus, the equation of the line is y = 4x + 18
All the points in a) are in (x, y) form. Thus, we can plug in each x value and see that we get the corresponding y-value to see which points we'd also find on the line:
Checking (-1, 14) for (x, y):
14 = 4(-1) + 18
14 = -4 + 18
14 = 14
Thus, (-1, 14) lies on the line. Therefore, a) is one of our answers.
Checking (-2, 10) for (x, y):
10 = 4(-2) + 18
10 = -8 + 18
10 = 10
Thus, (-2, 10) lies on the line. Thus, b) is also one of our answers.
Checking (0, 0) for (x, y):
The only line that passes through (0, 0) is y = x as (0, 0) is the origin and only y = x passes through the origin. Thus, (0, 0) is not one of our answers.
Checking (1, 14) for (x, y):
A linear function has a constant slope and will never pass through the same y-coordinate twice. Furthermore, for any function to be classified a function, every x-coordinate can only be paired to one y-coordinate. Thus, since we've already determined that (-1, 14) lies on the line, we know that (1, 14) can't and doesn't lie on the line.
Checking (2, 10) for (x, y):
Similarly, since we already found that (-2, 10) lies on the line, we know that (2, 10) also can't and doesn't lie on the line.
Part b:
We found in part a that the equation of the line is y = 4x + 18
Jim orders prints from a website. The site charges him $6.95 a month and $0.04 for each print he orders.
Enter an equation that can be used to find the number of prints, P, Jim ordered last month if the website charged
him $17.79.
Enter the number of prints Jim ordered last month.
Answer:
271 prints.
Step-by-step explanation:
So to answer the question, we need to first write a formula to find the answer.
We know that the starting price per month is 6.95 dollars.
The full price is 17.79 dollars.
So we can start this off by writing:
17.79=6.95
Now, every time Jim prints, he charges 0.04 dollars. This will add to the orginal cost, which is 6.95. And remember this isnt a single payment, but a payment that varies depending on the amount of paper, p. So we can write this as:
17.79=6.95+0.04p
6.95 wont ever change, hense why it doesnt have a variable. 0.04 however, varies depending on the amount of paper, and thats why we included the variable p.
These two values combined make 17.79, hense why it is on the opposite side of the equals sign.
So, now we need to find how many papers, p, were printed.
To find this, lets just take our equation, and solve for P like an ordinary problem:
17.79=6.95+0.04p
So first off, lets subtract the 6.95 from both sides, because that iscolates the 0.04p, which contains the variable.
Now we have:
10.84=0.04p
Now, we could divide both sides by 0.04.
But remember, the whole point of doing this is to make 0.04p into 1p.
So another way of doing this is multiplying the 0.04 by 25, since 0.04*25=1.
So lets multiply both sides by 25:
10.84*25 is 271.
Since 10*25 is 250
And
.84*25 is 21.
So now we know:
271=1p
So 271 is your answer!
Hope this helps!
The equation that can be used to find the number of prints, p, is $17.79 = $6.95 + $0.04p and Jim ordered 271 prints last month.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We can write an equation to represent the total cost that Jim was charged by the website for last month's prints, p to represent the number of prints he ordered:
Total cost = Monthly fee + Cost per print x Number of prints
Using the values given in the problem:
$17.79 = $6.95 + $0.04p
To solve for p, one side of the equation. First, we can subtract $6.95 from both sides:
$10.84 = $0.04p
Then, we can divide both sides by $0.04:
p = 271
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what's
\( \sqrt{36} \)
chess ?
\( \huge \purple{\tt{Answer:}} \)
\( \sf{\sqrt{36}} = \sf{6} \)
Answer:
√36=6
Step-by-step explanation:
it's can also be understood by 6×6=36
Find an equation for the perpendicular bisector of the line segment whose endpoints
are (-8,7) and (4,3)
Marks Assume that A and B are matrices of the same size. Determine an expression for Aif 2A - B = 5(A+2B). Question 6: 10 Marks (6.1) Find det(C) if λ λ +1 - 1 (6.2) Use the cofactor expansion to determine (3) 2 ооо 3 1 2 0 2 -5 0 4 1 3 0 3 (6.3) Consider the matrix A= 1 4 2 3 (3) (a) Compute A-1 (b) Find det(A-) (c) Deduce a relation (if it exists) between det(A) and det(A-") (2) (1)
To determine an expression for matrix A given the equation 2A - B = 5(A + 2B), we need to rearrange the equation and isolate A. By expanding the equation and rearranging terms, we find that A = -3B/3.
Hence, the expression for matrix A is A = -B.
Given the equation 2A - B = 5(A + 2B), we can start by expanding it:
2A - B = 5A + 10B
Next, we can rearrange the equation to isolate A:
2A - 5A = 10B + B
Combining like terms:
-3A = 11B
Now, to find the expression for matrix A, we divide both sides of the equation by -3:
A = -B/3
Therefore, the expression for matrix A is A = -B. This means that matrix A is equal to negative one-third times matrix B.
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Convert 4.6 cm = ________mm
Choose all of the options below that are graphs of quadratic functions.
The graphs of quadratic functions are:
B, D, and F.
Which ones are graphs of quadratic functions?The graph of a quadratic function is a parabola. This is, a shape like an "U", such that the arms extend as it goes up/down.
From the given options, the ones that are parabolas are:
B: We can see a parabola that opens downwards.
C: We can see a parabola that opens upwards.
F: we can see a parabola that opens upwards.
So these 3 are the correct options.
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given the coordinate (-5,6) lies on the function h(x), which point must lie on the inverse,h^-1?
Answer:
(6, - 5 )
Step-by-step explanation:
Given a point (x, y ) on the function then the corresponding point on the inverse is (y, x )
Given
(- 5, 6 ) lies on h(x) , then
(6, - 5 ) lies on \(h^{-1}\) (x)
My brain is not cut out for this. Plz help lol.
Answer:
Step-by-step explanation:
It’s c
6. James and his
friend both started
a part-time job at
the Swimming Hole
earning $8.50 per
hour. James
worked 10 1/2
hours
his first week.
James agreed to
pay his friend $8.25
of his salary for
reimbursement of
gas. How much
money will James
have left after he
pays his friend for
gas?
The amount that James left has left after paying his friend 10% is; $80.325
How to Solve Algebra Word Problems?We are told that James and his friend both earn $8.5 per hour. Thus;
Amount earned by James per hour = $8.5
Amount earned by the friend per hour = $8.5
Total time James works in his first week = 10 ¹/₂ hours
Now, James agreed to pay his friend 1/10 of his salary
Thus, amount that James earned is;
10.5 * 8.5 = $89.25
Thus, amount he has left after paying his friend 10% is;
(100% - 10%) * $89.25 = $80.325
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HELP
These expressions are equivalent. True or False?
2x−3(x−4)=5x+12
True
False
False, the expressions 2x − 3(x − 4) = 5x + 12 are not equivalent
How to check if the expression are equivalentThe expressions are simplified and if the value of both are equal then they are said to be equivalent
Simplifying 2x − 3(x − 4)
= 2x - 3x + 12
= - x + 12
since 2x − 3(x − 4) = - x + 12 ≠ 5x + 12 the expression is said not to be equivalent
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Can someone help me?
Answer:
1 feet
Step-by-step explanation:
15-14
I promise I will mark as brainiest my watch was correct at noon, after which it started to lose 17 minutes per hour until 6 hours ago it stopped completely. It now shows the time as 2.52pm what time is it now ?
Answer:
10:00 PmStep-by-step explanation:
Take 17 away from 1:00 = 12:43
Take 17 away from 1:43 = 1:26
Take 17 away from 2:26 = 2:09
Take 17 away from 3:09 = 2:52
There we are: at the time which the watch says now.
Now let's see what the correct time should be:
at 12:43 it is really 1:00
at 1:26 it is really 2:00
at 2:09 it is really 3:00
at 2:52 it is really 4:00
However, it says the watch stopped 6 hours ago meaning that the time should be 10:00 as 4 + 6 = 10.
I'm always happy to help :)Please help!!!!!!!!!!
Answer:
D
Step-by-step explanation:
the best answer may be D because 9/3 =3 3×5=15
solve: 2x - 6= 0 _________
Answer:
x = 3
Step-by-step explanation:
2x - 6 = 0 ( add 6 to both sides )
2x = 6 ( isolate x by dividing both sides by 2 )
x = 3
tickets to a school dance are sold for $10 each the student council spent a total of $400 on setup cost for the dance the school's profit p in dollars from the dance depends on the number of tickets sold which function describes the relationship between p and t
Answer:
I think it’s p(t)=10t-400
Answer:
t(p) = 10p-400
Step-by-step explanation:
Determine if triangles with the following side lengths are possible.
A: 5 8 4
B: 3, 6, ,2
C: 7, 5, 4,
Answer:
a is possible
b is not possible
c is possible
A shirt that normally costs $19.99 is on sale for 15% off. How much would Jason pay for 3 of the shirts with an 8% sales tax?
what is the main difference when finding an inverse and solving a square root equation?
Write the 24 hour clock time which is 17min later than 13:55
Answer:
14:12
Step-by-step explanation:
Answer:
After entering a time in 24-hour format, this calculator lets you add and subtract a period to give a new time, also in 24 hour format. The 24 hour time format is also known as "military time".
For example, you could enter the time 15:00:00 (3 pm), then add 70 seconds to it which would give 15:01:10 ( 3:01 and 10 seconds pm).
NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!
Which of the following numbers are prime?
Select 2 answers.
А
10
B
11
C
12
D
13
Answer:
11 and 13
because prime number is the number which can be factorised by 1 or itself
Answer:
B. 11 and D. 13 because they are odd primes
Find the degree of this polynomial. 4q
The degree of the polynomial is 9
What are algebraic expressions?Algebraic expressions are simply described as expressions that are composed of terms, variables, constants, coefficients, and factors.
They are also made up of some mathematical operations, such as;
AdditionSubtractionMultiplicationDivisionBracketParentheses, etcTo determine the degree of a polynomial which is also an example of algebraic expressions, we need to take note of the sum of the exponents.
From the information given,we have that
4q^2rs^6
The degree would be;
= 2 + 1 + 6
Add values
= 9
Hence, the value is 9
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The complete question:
Find the degree of this polynomial. 4q^2rs^6
which equation represents a line which parallel to the line y= -4/7x- 4
The given equation is
y = - 4x/7 - 4
The slope intercept equation is expressed as
y = mx + c
m represents slope
By comparing both equations,
slope = - 4/7
If two equations are parallel, it means that they have the same slope. Looking at the given options, for the last option,
4x + 7y = - 14
7y = - 14 - 4x
7y =
Answer:
4x + 7y = -14
Step-by-step explanation:
Parallel lines have same slope.
Write each equation on y = mx + b form.
4x + 7y = -14
7y = -4x - 14
Divide the entire equation by (7)
\(\sf \dfrac{7}{7}y=\dfrac{-4}{7}x -\dfrac{14}{7}\\\\y = \dfrac{-4}{7}x-2\)
So, the line 4x + 7y = -14 has same slope as the mentioned equation.
4x + 7y = -14 is parallel to the given line.