Which equation in standard form has a graph that passes
through the point (-5,11) and -2.5 is the slope.
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:
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.
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
-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
simplify the following expression: -4x^5y^4x x 5xy^7z^4
Answer:
-4x^12y^11z^4
Step-by-step explanation:
The graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.
A graph titled Tammy's Pay with number of hours on the x-axis and pay in dollars on the y-axis. A line goes through points (2, 18) and (8, 42).
What does the y-intercept represent?
The y-intercept represents "How much Tammy is getting paid for each hour she works".
Given that the graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.
And, a graph titled Tammy's Pay with a number of hours on the x-axis and pay in dollars on the y-axis. A line goes through points (2, 18) and (8, 42).
How to find what the y-intercept represents?If y, is the amount she gets paid then the line on the graph shows the ratio of how much she gets paid for each hour of work.
Learn more about y-intercept on: https://brainly.com/question/16009543
#SPJ2
Answer:
Answer is A
Step-by-step explanation:
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.
What is the measure of Angle 1 in this figure?
A. 30°
B. 80°
C. 110°
D. 130°
Answer:
A
Step-by-step explanation:
L.B. Johnson Middle School held a track and field event during the school year. The chess club sold various drink and snack items for the participants and the audience. All together, they sold items 486that totaled .$2,673a.If the chess club sold each item for the same price, calculate the price of each item.
Answer:
$5.50
Step-by-step explanation:
L.B Johnson middle school held a track and field event
The chess club sold different drinks and snack item for both the audience and participants
They sold 486 items at a total of $2,673
Therefore the price of each item can be calculated as follows
= 2673/486
= 5.50
Hence the price of each item is $5.50
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
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:
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.
What is the line's slope?
Answer:
[tex]m=\frac{-1}{3}[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in the 2 coordinates into the slope formula to find slope m:
Points (0, -1) and (-3, 0)
[tex]m=\frac{0-(-1)}{-3-0}[/tex]
[tex]m=\frac{0+1}{-3}[/tex]
[tex]m=\frac{1}{-3}[/tex]
[tex]m=\frac{-1}{3}[/tex]
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
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
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Two cars start at the same point and travel in opposite directions. The first car travels 15 miles per hour faster than the second car. In 4 hours, the cars are 300 miles apart. Use the formula below to determine the rate of the second car. 4(r + 15) + 4r = 300 What is the rate, r, of the second car? Solve for r.
Answer:
The rate of the second car is 30 miles/hour
Step-by-step explanation:
The Given formula is:
4(r + 15) + 4r = 300, where r is the rate for the second car
Let us solve the equation to find r
→ Multiply 4 by (r + 15) first
∵ 4(r + 15) = 4(r) + 4(15) = 4r + 60
→ Substitute it in the equation above
∴ 4r + 60 + 4r = 300
→ Add the like terms in the left side
∵ (4r + 4r) + 60 = 300
∴ 8r + 60 = 300
→ Subtract 60 from both sides
∴ 8r + 60 - 60 = 300 - 60
∴ 8r = 240
→ Divide both sides by 8
∴ [tex]\frac{8r}{8}=\frac{240}{8}[/tex]
∴ r = 30
∴ The rate of the second car is 30 miles/hour
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.
Store purchases boxes of pasta for $0.82 in cans of sauce for $1.62 how much profit does the store make from this purchase?
Answer: $2.44
Step-by-step explanation: ur just gonna do 0$.82 + $1.62 = $2.44
THERES UR ANSWER.........!!!!!!!!!!!!!
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
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.
how many solutions does this have? PLS HELP ILL MARK YOU BRAINEST
Answer:
5
Step-by-step explanation:
Someone give me some new artists/people to listen to
Answer:
Lil uzi,polo g, drake, future, gunna, cochise,
Step-by-step explanation:
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!
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 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
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 polynomial function f(x)=x3−x2−4x+9 has one negative zero.
Between what integers does this negative zero occur?
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