Answer:
The value of a mathematical expression is the result of the computation described by this expression when the variables and constants in it are assigned values. The value of a function, given the value(s) assigned to its argument(s), is the value assumed by the function for these argument values.
Step-by-step explanation:
Yes, the value of an expression does mean the answer.
The value of an expression is a variable that is assigned to a number.
Lets say we have 3n + 2 = 10.
"n" is the variable and we need to find the value of it.
In that kind of question, that is the answer for an expression.
But there are cases where we have the value and we need to solve with it. Then, the value would not be the answer.
Best of Luck!
Solve the simultaneous equations 5x+4y = 1 and 3x - 6 y = 2.
x=31,y=−61
Put the equations in standard form and then use matrices to solve the system of equations.
5x+4y=1,3x−6y=2
Write the equations in matrix form.
(534−6)(xy)=(12)
Left multiply the equation by the inverse matrix of (534−6).
inverse((534−6))(534−6)(xy)=inverse((534−6))(12)
The product of a matrix and its inverse is the identity matrix.
(1001)(xy)=inverse((534−6))(12)
Multiply the matrices on the left hand side of the equal sign.
(xy)=inverse((534−6))(12)
For the 2×2 matrix (acbd), the inverse matrix is (ad−bcdad−bc−cad−bc−bad−bca), so the matrix equation can be rewritten as a matrix multiplication problem.
(xy)=(5(−6)−4×3−6−5(−6)−4×33−5(−6)−4×345(−6)−4×35)(12)
Do the arithmetic.
(xy)=(71141212−425)(12)
Multiply the matrices.
(xy)=(71+212×2141−425×2)
Do the arithmetic.
(xy)=(31−61)
Extract the matrix elements x and y.
x=31,y=−61
Answer:
First equation: x= 1 y= -1
Second equation: x = 2/3 y = 1/-3
Step-by-step explanation:
I need the answer ASAP
Answer:
11.74
Step-by-step explanation:
I hope this helps you
Answer:
$9.99
Step-by-step explanation:
The goal is to get d all by itself. To do that first subtract 5.22 on both sides. Then you have 3d=29.97. Then you need to get rid of the 3. Divide the 3 on both sides to get d=9.99. D represent a dozen, so one dozen bagels equals $9.99.
a cab company charges a flat rate of $2 plus an additional $0.50 for every mile traveled .use this information for items 12 and 13 . a.write an expression that can be used to determine the total cab fare for a distance of m miles. b.when sara arrived at her destination ,her cab fare was $7.50..write an equation to represent this situation .how many miles did sara travel?
Here's the whole thing +extras that are after
a.
f = total cab fare
m = distance travelled
f = 2 + 0.50m
b.
7.50 = 2 + 0.50m
c.
7.50 = 2 + 0.50m
7.50 - 2 = 0.50m
5.50 = 0.50m
5.50/0.50 = m
m = 11
Sara traveled 11 miles.
d.
f = 2 + 0.50m
f = 2 + 0.50 x 10
f = 2 + 5
f = 7
When the cab fare is over $7.00 on the holidays, $1 is discounted off the fare.
e.
Yes, Lupe traveled more than 10 miles. (refer to calculations used in c.)
Simplify each expression.
20) (2x2 +82 + 7x) - (7x + 4- 612)
Answer:
40x2+133x+2248
Step-by-step explanation:
20(2x2+82+7x)−(7x+4−612)
Distribute the Negative Sign:
=20(2x2+82+7x)+−1(7x+4−612)
=20(2x2+82+7x)+−1(7x)+(−1)(4)+(−1)(−612)
=20(2x2+82+7x)+−7x+−4+612
Distribute:
=(20)(2x2)+(20)(82)+(20)(7x)+−7x+−4+612
=40x2+1640+140x+−7x+−4+612
Combine Like Terms:
=40x2+1640+140x+−7x+−4+612
=(40x2)+(140x+−7x)+(1640+−4+612)
=40x2+133x+2248
Question 4(Multiple Choice Worth 5 points)
(05.02)Find the measure of angle x in the figure below:
X
155
30
95°
o
55
O 30
O 85
Answer:
95°
Step-by-step explanation:
y° = 180° - (55° + 30°)
y° = 180° - 85°
y ° = 95°
y = 95
x = y ( vertical angles)
x = 95°
What is the probability that a randomly selected permutation of the letters A, A, C, C, L, L, O, R, T, U would spell "calculator"?
Answer:
See explanation
Step-by-step explanation:
Total number of letters = n! = 10
Permutation for 10 letters = n!
= 10!
= 10*9*8*7*6*5*4*3*2*1
= 3628800
From n letters:
Number of A = 2
Number of C = 2
Number of L = 2
A₁, A₂, C₁, C₂, L₁, L₂, O, R, T, U
Out of 3628800 permutations the word calculator can be spelled as:
C₁ A₁ L₁ C₂ U L₂ A₂ T O R
C₂ A₂ L₂ C₁ U L₁ A₁ T O R
and so on
So total number of different permutations are
(permutation of number of letters) / permutation of (number of As * number of Cs * number of Ls)
= 10! / (2! 2! 2 !)
= 10*9*8*7*6*5*4*3*2*1 / (2*1) (2*1) (2*1)
= 3628800 / 2 * 2 * 2
= 3628800 / 8
= 453600
Hence probability that a randomly selected permutation of the letters A, A, C, C, L, L, O, R, T, U would spell "calculator" is:
1 / total number of different permutations
= 1 / 10! / (2! 2! 2 !)
= 1/453600
= 0.000002
(pls answer asap!!!) a river is at -150 feet below sea level. a nearby mountain has an elevation of 1350 feet. if Tina hikes from the river to the top of the mountain, how many feet has she hiked?
Answer:
1200 feet
Step-by-step explanation:
Answer:
The correct answer to this question is 1200 feet
Step-by-step :
If you're starting at -150, It would take exactly 1200 feet to go from -150 feet to 1350 feet . Here's your answer : Tina hiked 1200 feet to reach the top of the mountain
Using the following data state errors in the box and whisker plot 33,27,6,34,31,59,26,1,30
AnswerStep-by-step explanation:
To find out the errors made in the data plot, let's determine what the five-number summary of the data set that should be displayed by the box plot should be.
First, order the data set given:
1, 6, 26, 27, 30, 31, 33, 34, 59
The five-number summary are:
1. Min value = 1
2. Max value = 59
3. Median = 30
1, 6, 26, 27, (30),31, 33, 34, 59
4. Q1 = (26+6) ÷ 2 = 16
1, [6, 26], 27, (30), 31, 33, 34, 59
5. Q3 = (33+34) ÷ 2 = 33.5
1, 6, 26, 27, (30), 31, [33, 34], 59
The errors in the box and whisker plot are:
1. The min value was displayed as 0 instead of 1.
2. The first quartile (Q1) was displayed as 10 instead of 16
3. The third Quartile (Q3) was displayed as 35 instead of 33.5
4. The max value was displayed as 60 instead of 59.
Question 3
If y varies inversely as x, and y = 14 when x = 8, find y when x = 7.
AVE
Blank 1:
Answer: when x = 7, y = 16
Step-by-step explanation: Here, we know that y varies inversely as x.
When we have two sets of inversely related coordinates, x₁ and y₁,
and x₂ and y₂, we can use the product rule, shown below,
to find the missing value.
x₁ y₁ = x₂ y₂Here, we know that y = 14 when x = 8 so
one set of coordinates will be 8 and 14.
We want to know the value of y when x = 7.
So our other coordinates will be 7 and y.
So we have (8)(14) = (7)(y).
Simplifying, (8)(14) is equal to 112 and (7)(y) is equal to 7y.
So we have 112 = 7y.
Now we simply solve for y by dividing both sides of the equation by 7.
The 7's on the right side cancel out and
on the left, 112 divided by 7 is equal to 16.
So we have 16 = y.
So when x is equal to 7, y is equal to 16.
A square patio has an area of 122 square feet. How long is each side of the patio to the nearest 0.05?
Binomial (-2x – 8) and trinomial (-3x2 + 4x + 5) are the factors of which polynomial?
A-3y2 + 2x - 3
O. B. -3x38x2.42x - 40
C 6x + 24x2.50% - 40
O. D 6x3 + 16x2 - 42x - 40
Answer:
D
Step-by-step explanation:
-2x × -3x^2 +-2x ×4x +-2x×5 +-8×-3x^2 + -8×4x+ -8×5
6x^3-8x^2-10x+24x^2-32x-40
6x^3+16x^2-42x-40
if 9x = 18 what is the value of x
Answer:
The correct answer is x = 2.
Step-by-step explanation:
To solve this problem, we should first remember that in solving equations, our goal is to get the variable (in this case, x) by itself on one side of the equation. To do this, we must divide both sides of the equation by 9 to get rid of the coefficient on the x term. This is modeled below:
9x = 18
9x/9 = 18/9
x = 2
Therefore, the correct answer is x = 2.
To check your answer, you can always plug the value for x back into the equation. For example, 9(2) = 18 is a true statement, so we know that we got the correct answer.
Hope this helps!
The value of x from the equation 9x = 18 is x= 2.
To find the value of x in the equation 9x = 18, we need to isolate x on one side of the equation.
To do that, we can divide both sides of the equation by 9:
(9x) / 9 = 18 / 9
Simplifying:
x = 2
Therefore, the value of x is 2.
We can also say that,
By dividing both sides of the equation by 9, we determined that when x is multiplied by 9, it equals 18, so x must be 2 in order for the equation to be true.
Learn more about Equation here:
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how do I solve from this? pls don't only give me the answer. step by step pls. Rewrite as a simplified fraction
Answer:
[tex]\frac{1}{9}[/tex]
Step-by-step explanation:
Create 2 equations with the repeating part after the decimal point. Then by subtracting the repeating part is eliminated
let x = 0.1111.... → (1) ← multiply both sides by 10
10x = 1.1111.... → (2)
Subtract (1) from (2) eliminating the repeater, that is
9x = 1 ( divide both sides by 9 )
x = [tex]\frac{1}{9}[/tex]
That is
0.111111... = [tex]\frac{1}{9}[/tex]
The lowest temperature on a winter morning was –8$F. Later that same day the temperature reached a high of 24$F. By how many degrees Fahrenheit did the temperature increase?
Answer:
32 Fahrenheit
Step-by-step explanation:
Since it is -8, subtract -8.
Now, you have 0 Fahrenheit.
Then, you add 24, since the high was -24 Fahrenheit.
The total number you added and subtracted is 32 Fahrenheit.
Hope this helps!
find the product "please answer i will mark you brainlist
Answer: -48x³y^4 (the option at the bottom left)
Step-by-step explanation:
-6x²y × 8y³x
=-48x³y^4 ⇔ multiplication in exponents with same base works as addition
Hope this helps!! :)
Please let me know if you have any question
2/3 of a gallon per 1/2 hour, find gallons for one hour.
Answer:
1.2 or 6/5
Step-by-step explanation:
2/3 = .6
.6 * 2 = 1.2
1.2 = 6/5
The unit rate of gallons per hour for 2/3 of a gallon per 1/2 hour will be 4/3.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
For example the speed 3meter/second.
As per the given,
2/3 of a gallon per 1/2 hour.
In 1 hour = 2 × in 1/2 hour
Gallons per hour = 2 × 2/3 = 4/3
Hence "The unit rate of gallons per hour for 2/3 of a gallon per 1/2 hour will be 4/3".
To learn more about the rate of change here,
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is - 3/10 rational or irrational?
Answer:
rational
Step-by-step explanation:
Answer:
The fraction 3/10 is a rational number. All fractions are rational numbers.
what does the line on top mean? it's confusing. The others don't have it
Find the coordinates of
the missing endpoint if M
is the midpoint of AB.
A(4, -8) and M(5,-2)
Answer:(6,-2)
Step-by-step explanation:
M is the midpoint of AB then ,
M = [tex]\frac{A+B}{2}[/tex]
[tex]5=\frac{x+4}{2}[/tex] , [tex]-2=\frac{y-2}{2}[/tex]
[tex]10=x+4[/tex] , [tex]-4=y-2[/tex]
[tex]x=6[/tex] , [tex]y= -2[/tex]
so, B= (6,-2)
The required endpoint is given as (6, 4 ).
Given that,
To determine the coordinates of the missing endpoint if M is the midpoint of AB. A(4, -8) and M(5,-2).
The midpoint is that point the line whose distance from both the ends of the line is equal.
Here,
We have given two coordinates one of the endpoints of AB and the other is midpoint M i.e. A(4, -8) and M(5,-2).
Definition of midpoint says,
x = [x₁ + x₂] / 2 ; y = [y₁ + y₂] / 2
x₁ = 4, x = 5 , y₁ = -8, y = -2
now,
5 = [4 + x₂] / 2 ; -2 = [-8 + y₂] / 2
x₂ = 10 - 4 ; y₂ = -4 + 8
x₂ = 6 : y₂ = 4
Thus, the required endpoint is given as (6, 4 ).
Learn more about midpoints here: https://brainly.com/question/28224145
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Alyssa bakes cookies for the bake sale. 35% of the cookies are chocolate chip. If 56 of the cookies are chocolate chip, how many cookies did she bake in all?
Answer:
She bakes 160 cookies in all.
Step-by-step explanation:
We are given that Alyssa bakes cookies for the bake sale. 35% of the cookies are chocolate chip and 56 of the cookies are chocolate chip.
Let the total number of cookies baked by Alyssa be 'x'.
Number of chocolate chip = 56
So, according to the question;
35% of total cookies = 56
35% of x = 56
[tex]\frac{35}{100} \times x = 56[/tex]
[tex]x=\frac{56\times 100}{35}[/tex]
[tex]x= 8 \times 20[/tex] = 160 cookies
Hence, Alyssa bakes 160 cookies for the bake sale.
Evaluate. 4\7+3\4 A 37\56 B 1 9\28 C 3\7 D 7\11
Answer:
The answer is D. 7/11 it's just simple addition.
4. Kennedy buys a computer that was reduced in a sale by 10%. If the sale price of the
computer is now N$11 480. 50, what was the original price of the computer?
What is the answer
Answer:
11480.50 x 110% = 12628.55
Step-by-step explanation:
100% is the current price (11480.50), the current price has already been discounted by 10%.
so now add the the amount deducted back into the current price (100% +10%) to find the initial price.
x+3=44 The sum of a number and three is forty-one. Find the number.
750 feet tall how many stories would the building have
Answer:
Well if a story is 14-16 feet tall, then it would be about 50 floors.
Step-by-step explanation:
Each story is 14-16 feet, and if you meet in the middle (15 feet) just divide 750 by 15, you get 50.
Whats 3/z = 2/5. Please HELP!! Due in 20 minutes!!!
Step-by-step explanation:
Hey there!!
Given,
[tex] \frac{3}{z} = \frac{2}{5} [/tex]
Cross multiply.
15 = 2z
Therefore, z= 15/2
Hope it helps..
Answer:
z = 7.5
Step-by-step explanation:
3/z = 2/5
then:
3*5 = 2z
15 = 2z
15/2 = z
z = 7.5
Check:
3/7.5 = 2/5
evaluate using identities: (100+1) (100-1)
Answer:
9999
Step-by-step explanation:
Given
(100 + 1)(100 - 1) ← these are the factors of a difference of squares.
a² - b² = (a + b)(a - b) , thus
(100 + 1)(100 - 1)
= 100² - 1
= 10000 - 1
= 9999
!!!! HELPPP NOWWW PLSSS ITS DUE IN 1 HOUR !!!!!!
Answer:
The last one is the answer
Step-by-step explanation:
find two numbers with a sum of 129 and a difference
Step-by-step explanation:
100+29=129
Its so simple....
Girl scout troops went on a hike. First they walked 1 mile East, then 2 miles South, then 3 miles West and 1 mile North,then 2 miles East. How far are they from the starting point?
Answer:
south
Step-by-step explanation:
telling what way it is north south east
Predict what will happen to the coordinates of a point (x,y) as the point rotates counterclockwise (CCW) about the origin to produce point (x’,y’). Choose rotation angles of 90 degrees, 180 degrees, and 360 degrees. Express your answer in terms of x and y. Be sure to watch your signs.
Answer:
Step-by-step explanation:
If a point (x, y) is rotated counterclockwise by the angles given in the table attached,
Rule for the rotation at an angle of 90° CCW about the origin,
(x, y) → (-y, x)
Rule for the rotation at an angle of 180° CCW about the origin,
(x, y) → (-x, -y)
Rule for the rotation at an angle of 270° CCW about the origin,
(x, y) → (y, -x)
Rule for the rotation at an angle of 360° CCW about the origin,
(x, y) → (x, y)
Angle of rotation x' y'
90° -y x
180° -x -y
270° y -x
360° x y
Answer:
Angle of Rotation (CCW) x′ y′
90° −y x
180° −x −y
270° y −x
360° x y