Answer:
{(2,2) , (2,7) , (2,5) , (3,2) , (3,7) , (3,5) , (8,2) , (8,7) , (8,5)}
Step-by-step explanation:
Given :
Set A = (2 3 8)
Set B = (2 7 5)
Unknown:
Product of two sets a x b;
Solution:
Set A = (2 3 8)
Set B = (2 7 5)
The cartesian product of two sets is expressed as the order pairs of elements from A to B;
A = (2 3 8)
B = (2 7 5)
A x B = {(2,2) , (2,7) , (2,5) , (3,2) , (3,7) , (3,5) , (8,2) , (8,7) , (8,5)}
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
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]
The person who answers these three questions will get the brianlist
Answer: The answer for 1. is B For 2 its c and for 3 its D
also I LOVE MY HERO ACEDAMEIA
Step-by-step explanation:
What value of x is in the solution set of 9(2x + 1) < 9x – 18?
-4
-3
-2
-1
Answer:
c = -3
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:
Please help me with is question
Answer:
[tex]{1.8 \times 10}^{10} \: opton \: b. \: is \: correct[/tex]
Step-by-step explanation:
[tex] {1.5 \times 10}^{6} \times 12000 = \\ {1.5 \times 10}^{6} \times {1.2\times 10}^{4} = \\ {1.8 \times 10}^{10}[/tex]
Answer: B
Step-by-step explanation:
Keep writing the equation until you get to lowest terms.
[tex]15[/tex] × [tex]10^{6}[/tex] × [tex]12,000[/tex] =
[tex]15[/tex] × [tex]10^{2}[/tex] × [tex]1.2[/tex] × [tex]10^{4}[/tex] =
[tex]1.8[/tex] × [tex]10^{10}[/tex]
The answer is option B.
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.
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
PLEASE ANSWER WILL GIVE BRAINLIEST!!!
What does a correlation coefficient of 0.76between two assets indicate?
Only one of the assets is profitable.
As one asset increases, the other decreases.
The two assets are weakly correlated.
The two assets are highly correlated.
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.........!!!!!!!!!!!!!
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
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Answer:
Answer is A
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
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
The polynomial function f(x)=x3−x2−4x+9 has one negative zero.
Between what integers does this negative zero occur?
Need all these questions answer plz
Step-by-step explanation:
1 result(s) found
x
2
−x−3
Step by Step Solution:
More Icon
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
More Icon
Polynomial root calculator
Polynomial long division
Related links
More Icon
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
If you are writing an equivalent expression for 23 • 24, how many times would you write 2 as a factor?
Answer:
1-100
Step-by-step explanation:
The number of times you write 2 as a factor of 552 is 3 times.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The given numerical expression is 23·24.
Here, equivalent expression is 552
Factor of 552 is
2×2×2×3×23
Therefore, the number of times you write 2 as a factor of 552 is 3 times.
To learn more about an equivalent expression visit:
https://brainly.com/question/28170201.
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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
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!
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.
SksisjsjsjsssnksisnsbxnxlxodjsbsbdfjfJ
Someone give me some new artists/people to listen to
Answer:
Lil uzi,polo g, drake, future, gunna, cochise,
Step-by-step explanation:
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
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
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.
If h(x) = 5 + x and (x) -
, which expression is equivalent to (kºn)(x)?
Answer:
1/(5+x)
Step-by-step explanation:
The explanation for this is your just substituting 5+x for the x in the 1/x
Hope this helps ! :)
how many solutions does this have? PLS HELP ILL MARK YOU BRAINEST
Answer:
5
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:
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.
Which equation in standard form has a graph that passes
through the point (-5,11) and -2.5 is the slope.
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