Answer:
v= w/ry+tu/ry
Step-by-step explanation: Isolate the variable then Divide each side by the factors that don't contain the variable.
Cory, Josh and Dan went shopping for Halloween treats. Cory bought 3 chocolate pumpkins, 4 masks and 8 candy witches. He spent $36.65. Josh bought 5 chocolate pumpkins,3 masks and 10 candy witches. He spent $37.50. Dan bought 4 chocolate pumpkins, 5 masks and 6 candy witches. He spent $43.45. Write a system of equations to represent this problem.
Answer:
[tex]\left\{\begin{matrix}3x+4y+8z=36.65\\ 5x+3y+10z=37.50\\ 4x+5y+6z=43.35\end{matrix}\right.[/tex]
Step-by-step explanation:
System of equations
Let's set the following variables:
x=Price of chocolate pumpkins
y=Price of masks
z=Price of candy witches
We'll establish the system of equations needed to know the prices of all the Halloween treats.
Cory bought 3 chocolate pumpkins, 4 masks, and 8 candy witches and he spent $36.65. This leads to the following equation:
[tex]3x+4y+8z=36.65\qquad\qquad [1][/tex]
Josh bought 5 chocolate pumpkins, 3 masks, and 10 candy witches and he spent $37.50. This leads to the following equation:
[tex]5x+3y+10z=37.50\qquad\qquad [2][/tex]
Dan bought 4 chocolate pumpkins, 5 masks, and 6 candy witches and he spent $43.45. This leads to the following equation:
[tex]4x+5y+6z=43.35\qquad\qquad [3][/tex]
Collecting the equations [1] [2] [3], we form the system of equations to represent this problem:
[tex]\left\{\begin{matrix}3x+4y+8z=36.65\\ 5x+3y+10z=37.50\\ 4x+5y+6z=43.35\end{matrix}\right.[/tex]
Need all these questions answer plz
Step-by-step explanation:
1 result(s) found
x
2
−x−3
Step by Step Solution:
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STEP
1
:
Equation at the end of step 1
STEP
2
:
x3 + 3x2 - 7x - 12
Simplify ——————————————————
x + 4
Checking for a perfect cube :
2.1 x3 + 3x2 - 7x - 12 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3 + 3x2 - 7x - 12
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -7x - 12
Group 2: x3 + 3x2
Pull out from each group separately :
Group 1: (7x + 12) • (-1)
Group 2: (x + 3) • (x2)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
2.3 Find roots (zeroes) of : F(x) = x3 + 3x2 - 7x - 12
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -12.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,3 ,4 ,6 ,12
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -3.00
-2 1 -2.00 6.00
-3 1 -3.00 9.00
-4 1 -4.00 0.00 x + 4
-6 1 -6.00 -78.00
-12 1 -12.00 -1224.00
1 1 1.00 -15.00
2 1 2.00 -6.00
3 1 3.00 21.00
4 1 4.00 72.00
6 1 6.00 270.00
12 1 12.00 2064.00
The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms
In our case this means that
x3 + 3x2 - 7x - 12
can be divided with x + 4
Polynomial Long Division :
2.4 Polynomial Long Division
Dividing : x3 + 3x2 - 7x - 12
("Dividend")
By : x + 4 ("Divisor")
dividend x3 + 3x2 - 7x - 12
- divisor * x2 x3 + 4x2
remainder - x2 - 7x - 12
- divisor * -x1 - x2 - 4x
remainder - 3x - 12
- divisor * -3x0 - 3x - 12
remainder 0
Quotient : x2-x-3 Remainder: 0
Trying to factor by splitting the middle term
2.5 Factoring x2-x-3
The first term is, x2 its coefficient is 1 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 1 • -3 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -1 .
-3 + 1 = -2
-1 + 3 = 2
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Canceling Out :
2.6 Cancel out (x+4) which appears on both sides of the fraction line.
Final result :
x2 - x - 3
Terms and topics
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Polynomial root calculator
Polynomial long division
Related links
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Root Finder -- Polynomials Calculator
How to factor five term polynomial - Yahoo Answers
Long Polynomial Division
Polynomial long division - Wikipedia
Polynomial Long Division
Polynomials - Long Division
find the equation of the line. Use exact numbers.
help
Answer:
y = 2x + 4
Step-by-step explanation:
the line intersects the y axis at 4. so, b = 4
For the slope, to make it really easy, you can find a point where the line is on a point purfectly and just count how many times you went up or down and then left or right. Or, you can pick 2points and use the slope formula (y2-y1)/(x2-x1). the slope is 2.
Two integers have a difference of 18 and a sum of 2. What is the product of the two integers?
Answer:
the product of the two integers is -80
Answer:
-80
Explanation:
it was on a mathcounts competition
Line u has a slope of -3/4. Line v is parallel to line u. What is the slope of v
Answer:
-3/4
Step-by-step explanation:
Slopes are equal for parallel lines
Slope of line v is -3/4
I can’t find answers to this question. Please help.
Answer:
Did you try looking it up
Step-by-step explanation:
sorry If I am wrong and don't forget to make me brainliest
use two unit multipliers to convert:
A. 6 miles to inches
B. 20 square feet to square inches
Answer:
A.380160 B. 240
Step-by-step explanation:
1 Square foot (sq ft) is equal to 144 square inches (sq in). To convert square feet to square inches, multiply the square foot value by 144.
The polynomial function f(x)=x3−x2−4x+9 has one negative zero.
Between what integers does this negative zero occur?
Oscar is raising monarch caterpillars for a summer science project. Every day, he feeds 4 fresh milkweed leaves to each caterpillar. Oscar wants to know how many caterpillars he can feed in a day with a total of 28 leaves. Which equation can Oscar use to find n, the number of caterpillars he can feed in a day?
Answer: n = 28/4
Step-by-step explanation:
Number of leaves uses to feed each caterpillar = 4.
If Oscar has 28 leaves, the number of caterpillars n he'll be able to feed in a day will be represented by the equation below:
n = 28/4
This implies that 7 caterpillars can be fed in a day.
I need help please it’s due in a couple of minutes
Answer:
1. 16=v top left
2. n=5.8 bottom left
3. n= -31.9 top right
4. b= 6 . bottom right
If I am wrong I am sorry
2x + 3y = 6
y = 2/3x - 2
y = 2/3x + 2
y = -2/3x - 2
y = -2/3x + 2
Answer:
y= −2/3x+2
Step-by-step explanation:
2x+3y=6
Add -2x to both sides.
2x+3y+−2x=6+−2x
3y=−2x+6
Divide both sides by 3.
3y/3=−2x+6/3
A line passes through the point (8, -7) and has a slope of -3/4
Write an equation in slope-intercept form for this line
Answer:
y = -3/4x -7
Step-by-step explanation:
hope this helps!
Lea wrote a number riddle. Her clues were: 9 is 10 times the value of the 9 in 329,513 2 is 110 the value of the 2 in 7,562 6 is 110 the value of the 6 in 4.68 Which number is an answer to Lea's riddle? 19,426 95,826 341,950.26 498,173.26 I need help solving this question can someone plz help me
Answer: 498,173.26.
Step-by-step explanation:
Place value of the 9 in 329,513 = 9,000
9 is 10 times the value of the 9 in 329,513.
Then, place value of 9 in required number = 10x 9,000 = 90,000
from options only 95,826 and 498,173.26 has 9 at ten thousands place. (cancel all other options)
Also, 2 is [tex]\dfrac1{10}[/tex] the value of the 2 in 7,562.
place value of 2 in required number =[tex]\dfrac1{10}\times2=0.2[/tex]
i.e. place value of 2 in required number 2 tenths
which is in 498,173.26 [place value of 6 is [tex]\dfrac1{10}[/tex] the value of the 6 in 4.68]
Hence, th required number is 498,173.26.
3x^3-75x
please help
.....
Answer :pls delete my answer.
Answer: 3x(x-5) (x+5)
Step-by-step explanation Step 1: Factor out comon coeffecient factor. 3x3 (exponent) - 75x.- 3(x3 (exponent)-25x)
Step 2: Find One factor. 3x(x2(exponent)-25)
Step 3 an final step: Find One factor again. Factor by grouping, Factor by grouping again, Factor by grouping a third time. Edit: I hope this was helpful and I wish the best of luck to the person that asked this question and people that want to know this question.
The cost of the lunches for the field trip can be represented by the expression:
4(29) + 4(6).
Identify the values to make these expressions true.
Expand 29 to create an equivalent expression with friendly numbers.
4(
) + 4(6)
Distribute the 4.
Evaluate the multiplication
80 + 36 + 24 =
20 + 9 is the first answer
4(20)+4(9)+4( 6) is the second answer
80+36+24=140 is the third answer :)
Answer:
1: 20 + 9
2: 4(20) + 4(9) + 4(6)
3: 140
Step-by-step explanation:
look at the picture
Which of the following is the correct equation for this function?
Answer:it’s D
Step-by-step explanation: put the equation into standard form and plugged it into my graphing calculator.
SksisjsjsjsssnksisnsbxnxlxodjsbsbdfjfJ
FINDDD VALUE OF Y!!!!
Answer:
The sum of the internal ángles = 360°
(3y+40)° and (3x-70°) are suplementary angles = 180°
then:
(3x-70) + (3y+40) + 120 + x = 360 ⇒ first eq.
(3y+40) + (3x-70) = 180 ⇒ second eq
development:
from the first eq.
3x + x + 3y = 360 + 70 - 40 - 120
4x + 3y = 430 - 160
4x + 3y = 270 ⇒ third eq.
3y = 270 - 4x
y = (270 - 4x) / 3 ⇒ fourth eq.
from the secon eq.:
3y + 3x = 180 + 70 - 40
3y + 3x = 250 - 40
3y + 3x = 210 ⇒ fifth eq.
multiply by -1 the fifth eq and sum with the third eq.
-3y - 3x = -210 ⇒ (fifth eq. *-1)
3y + 4x = 270
⇒ 0 + x = 60
x = 60°
from the fourth eq.
y = (270-4x)/3
y = (270-(4*60)) / 3
y = (270 - 240) / 3
y = 30/3
y = 10°
Probe:
from the first eq.
(3x-70) + (3y+40) + 120 + x = 360
3*60 - 70 + 3*10 + 40 + 120 + 60 = 360
180 - 70 + 30 + 40 + 120 + 60 = 360
180 + 30 + 40 + 120 + 60 - 70 = 360
430 - 70 = 360
Answer:
y = 10
Select the correct answer.
In which direction must the graph of fx) = x be shifted to produce the graph of g(x) = x-6?
OA.
down
OB.
up
OC.
neither up nor down
OD
up and down
Answer:
it moves down
Step-by-step explanation:
for the graph originally f(x)=x and subtract 6 from it, it will move 6 units down, and to find the new coordinate you subtract 6 in y so (x , y-6)→for the new coordinate.
NOTE: if the graph added to 6 it will move up 6 units.
simplify the following expression: -4x^5y^4x x 5xy^7z^4
Answer:
-4x^12y^11z^4
Step-by-step explanation:
Use the distributive property to rewrite the following expression.
4(2x - 3)-3(x + 2)
Pls I only have 1 min to get this
Answer:
6x-12-3x+2
Step-by-step explanation:
8x-12-3x-6
5x-18 this is the answer
how many solutions does this have? PLS HELP ILL MARK YOU BRAINEST
Answer:
5
Step-by-step explanation:
y=x-2
HELP MY RSM IS TOMORROW
Graph the lines given by the equation
Answer:
make a line going through points (2,0) and (0,-2) I put a picture.
Step-by-step explanation:
What is the measure of Angle 1 in this figure?
A. 30°
B. 80°
C. 110°
D. 130°
Answer:
A
Step-by-step explanation:
If you were to describe a translation of triangle ABCABC, what information would you need to include in your description? If you were to describe a rotation of triangle ABCABC, what information would you need to include in your description? If you were to describe a reflection of triangle ABCABC, what information would you need to include in your description?
Answer:
1) The information required in order to describe a translation of triangle ABC to A'B'C', are;
a) The coordinates of the vertices of the triangle ABC
b) The amount by which the triangle ABC is translated along the x-axis
c) The amount by which the triangle ABC is translated along the yx-axis
2) The information required in order to describe a rotation of triangle ABC to A'B'C', are;
a) The coordinates of the vertices of the triangle ABC
b) The coordinates of the point about which the triangle ABC is to be rotated
c) The amount in degrees, the triangle ABC is to be rotated
2) The information required in order to describe a reflection of triangle ABC to A'B'C', are;
a) The coordinates of the vertices of the triangle ABC
b) The equation of the line about which the triangle ABC is to be reflected
Step-by-step explanation:
Which equation in standard form has a graph that passes
through the point (-5,11) and -2.5 is the slope.
if you dog a 6ft hole...how deep is that hole??
-Beetlejuice
Answer:
im confused lol
Step-by-step explanation:
Answer:
6ft
Step-by-step explanation:
-12.4 + 9.2 =
show work
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
First we have to line them up by the decimal points...
-12.4
+ 9.2
-3.2
That's all after you solved it you get -3.2
If you order 3 chickens wraps and order 2 orders of potatoes for a total bill of $42.95 someone else orders 5 chicken wraps and 4 orders of potatoes for a total bill of $74.91. What is the cost of a chicken wrap and what is the cost of one order of potatoes
Answer: The cost of a chicken wrap is $10.99
The cost of one order of potatoes is $4.99.
Step-by-step explanation:
Let the cost of a chicken wrap be x
Let the cost of one order of potatoes be y.
From the question,
3x + 2y = $42.95 ...... equation i
5x + 4y = $74.91 ....... equation ii
Multiply equation i by 5
Multiply equation ii by 3
15x + 10y = $214.75 ..... equation iii
15x + 12y = $224.73 ....... equation iv
Subtract equation iv from equation iii. This will be:
-2y = -$9.98
y = $9.98/2
y = $4.99
Since 3x + 2y = $42.95
3x + 2($4.99) = $42.95
3x + $9.98 = $42.95
3x = $42.95 - $9.98
3x = $32.97
x = $32.97/3
x = $10.99
The cost of a chicken wrap is $10.99
The cost of one order of potatoes is $4.99.
HELP WIL GIVE BRAINLEIST
Answer:
Sorry and where is your questions..