Answers
9514 1404 393
Answer:
B. 3x^2 +11x -20 = 0
Step-by-step explanation:
For solutions p and q, the quadratic will be
(x -p)(x -q) = 0
We notice that the leading coefficients of the offered answer choices are greater than 1, so it will be convenient to use a value that "clears fractions."
(x -4/3)(x -(-5)) = 0
3(x -4/3)(x +5) = 0 . . . . multiply by 3 to clear the fraction
(3x -4)(x +5) = 0 . . . . . . clear the fraction
3x(x +5) -4(x +5) = 0 . . use the distributive property
3x^2 +15x -4x -20 = 0 . . . . use the distributive property again
3x^2 +11x -20 = 0 . . . . collect terms
_____
The constant in the product of factors is the product of roots:
(x -p)(x -q) = x^2 -(p+q)x +pq
Here, that would mean the constant would be (4/3)(-5) = -20/3.
If we compare the above quadratic to the standard form:
ax^2 +bx +c = 0
we find that we can divide the standard form equation by 'a' to get ...
pq = c/a
That is, c/a = -20/3, so we might start looking for an answer choice that has a leading coefficient of a=3 and a constant of c=-20.
Related Questions
How to find the probability of the complement of an event?
Answers
Drag each figure to show if it is similar to the figure shown or why it is not similar.
Answers
Not Similar Different Type Of Shape: 6x18 shape
Not Similar Different Ratio: 9x18 rectangle, 2x8 rectangle, 6x3 rectangle
Answer: Is shown below
Step-by-step explanation:
Hope this help :)
the log ride at an amusement park has a single hill with an incline of 127 feet and a decline of 93 feet. If the total horizontal distance between the start of the incline and end of the decline is 132 feet, find the maximum height of the ride
Answers
Answer:
85.02 feet
Step-by-step explanation:
In order to solve this we need to use Herons formula to discover the Area of the triangle and then solving the formula of the area to find the height.
Herons formula starts by calculating the semi-perimeter which is half the perimeter of the Triangle:
[tex]s=\frac{a+b+c}{2}\\ s=\frac{127+93+132}{2}\\s=176[/tex]
Now that we knwo that s= 176 we need to use the second part of the formula:
[tex]A=\sqrt{(S-A)(S-B)(S-C)} \\\\A=\sqrt{(176-127)(176-93)(176-132)}\\A=\sqrt{176(49)(83)(44)} \\A=5612.02[/tex]
So the area is 5612.02, with that we just have to solve the equation for area, which is [tex]A=\frac{B*H}{2}[/tex]
So it would be 2A*B=H
H=2*5612.02*132
H=85.03
Solve the following system of equations using the elimination method.
7x + 20y = 14
2x – 10y = 4
Question 18 options:
A)
(3,1)
B)
(2,0)
C)
(4,–5)
D)
(–3,4)
Answers
Answer:
opt B (2,0)
Step-by-step explanation:
.
.
.
pls rate
Answer:
B
Step-by-step explanation:
URGENT again having difficulty, please answer as soon as possible would be appreciate it :)
Answers
2. X=0 x=-1/5 x=4/3 x=1
3.x>-2
4.X>_8
Point-Slope form is used when your are NOT given which of the following. You need all 3 or slope or y-intercept or a point.
Answers
Answer:
y-intercept
Step-by-step explanation:
you only need the slope and points for point-slope form
Enter decimal numbers in the boxes to identify the point in Quadrant III which is 3 units away from point A.
Answers
Answer:
(-0.5, -0.5)
Step-by-step explanation:
Let the coordinates of the point P in quadrant 3 are (x, y).
If a point A is 3 units apart, coordinates of point P will be [(x - 3), y].
From the figure attached,
Coordinates of the point A are (2.5, -0.5).
x coordinate of point P → (2.5 - 3) = -0.5
y coordinate of the point P → (-0.5) = -0.5
Therefore, point P which is 3 units apart from A will be (-0.5, -0.5)
Answer:
0.5,0.5
Step-by-step explanation:
8. Write an equation for the graph in slope-
intercept form.
10
9
a. y = 10x - 3
50
7
b. y = -3x + 10
LA
1
C. Y = -x + 10
3
3
2 1
3
4 5 6
7
8 9 10
Answers
Answer:
The answer is D
Step-by-step explanation:
the y is +10
slope is -1/3
15(15b−7)=3b−9 plz help meee
Answers
Answer:
B=16over37
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
15(15b−7)=3b−9
(15)(15b)+(15)(−7)=3b+−9(Distribute)
225b+−105=3b+−9
225b−105=3b−9
Step 2: Subtract 3b from both sides.
225b−105−3b=3b−9−3b
222b−105=−9
Step 3: Add 105 to both sides.
222b−105+105=−9+105
222b=96
Step 4: Divide both sides by 222.
222b
222
=
96
222
Then simplify
Answer:
Step-by-step explanation:
15(15b-7)=3b-9
225b-105=3b-9
+105 +105
225b=3b+96
/3 /3
75b=b+96
/75 /75
b=b+1.28
NO SOLUTION
Which graph is inverted
y = 1+x^2
y = 1 - x^2
y = x^2 -1
-y = 1 - x^2
Answers
Answer:
Please help me and my question, it would mean alot, I think that the graph inverted is D
Step-by-step explanation:
is y = x/9 a direct variation
Answers
Joel is considering putting a $
$3500 laptop purchase on his
credit card, which has an interest rate of
4.95% compounded monthly. How long will it take him to pay off the purchase if he makes monthly
payments of $65?
Round your answer to the nearest tenth of a year.
Answers
Answer: $53.84
Step-by-step explanation: 3500 divided buy 65
Help
PLZ HELP I’m begging u
Answers
Answer:
Since this is a proportional relationship,
We know that the number which are proportional are a multiple of each other
the number which we can multiply one of the numbers to get the other number is the constant of proportionality
we could check for proportionality by using the following formula:
p1 / s1 = p2/s2 = p3/s3 = p4/s4 if they were equal, we can say that the relation is proportional
The value of any of the above values, p1/s1 , p2/s2 , p3/s3 , p4/s4 is the constant of proportionality
Therefore, the constant of proportionality = 20 / 5 = 4
Answer:
Since this is a proportional relationship,
We know that the number which are proportional are a multiple of each other
the number which we can multiply one of the numbers to get the other number is the constant of proportionality
we could check for proportionality by using the following formula:
p1 / s1 = p2/s2 = p3/s3 = p4/s4 if they were equal, we can say that the relation is proportional
The value of any of the above values, p1/s1 , p2/s2 , p3/s3 , p4/s4 is the constant of proportionality
Therefore, the constant of proportionality = 20 / 5 = 4
You take a package to the local shipping company. They charge $0.72 per pound, and also has a fixed cost of $5
per package. If P represents the number of pounds of your package, and C is the total cost of shipping your
package, which of these is the correct relationship between P and C?
Answers
Answer:
yoy didnt put a picture of the answer choices, so I'm not sure which one this would be, but the answer would be C=5 + .72P
Step-by-step explanation:
C is the total cost, so that would be on the opposite side of the equal sign from P. the 5 would be the constant, since that is the starting price for all packages, and the .72 is the price per pound, so you would have to multiply .72 by P pounds in order to complete the equation.
Hope this helps!
find the perimeter please i need help
Answers
Answer:48
Step-by-step explanation:add up all the sidees
Please graph and table -4x+2y=-8
Answers
Answer:
x=1/2y+2
Step-by-step explanation:
−4x+2y=−8
Step 1: Add -2y to both sides.
−4x+2y+−2y=−8+−2y
−4x=−2y−8
Step 2: Divide both sides by -4.
−4x
−4
=
−2y−8
−4
Which relation is a function?
{(1, 2); (2, 3); (3, 4); (1, 5)}
{(1, 2); (1, 3); (3, 2); (4, 2)}
{(1, 2); (2, 5); (3, 2); (4, 5)}
{(1, 2); (2, 3); (3, 4); (2, 5)}
Answers
Answer:
the third relation: {(1, 2); (2, 5); (3, 2); (4, 5)}
Step-by-step explanation:
relations can only be a function if the input/x don't repeat at all.
its ok if the output/y repeat though!
{(1, 2); (2, 5); (3, 2); (4, 5)}, best represents the functions. Option C is correct.
Given that,
To determine which relation is a function.
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is the dependent variable.
Here,
For a relation to be a function, for two variables only one of the variables can have a repeated value i.e. dependent variable with respect to the others if the value of both variables is repeating then the relation is not a function. So,
{(1, 2); (2, 3); (3, 4); (1, 5)}
X repeated twice its not the function.
Similarly,
{(1, 2); (2, 3); (3, 4); (2, 5)} and {(1, 2); (1, 3); (3, 2); (4, 2)} are not the function.
But,
{(1, 2); (2, 5); (3, 2); (4, 5)} is function because the value of independent variable is not repeating.
Thus, {(1, 2); (2, 5); (3, 2); (4, 5)}, best represents the functions. Option C is correct.
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The answer to a multiplication problem
5 x 2 = 10
Sum
Difference
Product
Quotient
Answers
Answer:
Product
Step-by-step explanation:
*
1. What is the measure of angle A?
Answers
Why is "3 meals a day" a unit rate?
O It compares 1 meal to 1 day.
O It compares 1 meal to 3 days.
O It compares 3 meals to 1 day.
Olt compares 3 meals to 3 days.
Answers
Answer:
it compares 3 meals to 1 day
Jake won 7 of the 15 races he ran. Write Jake's fraction of decimal. wins as a
Answers
Answer:
0.46
Step-by-step explanation:
Answer:
0.4667
Step-by-step explanation:
First off, we'll interpret the fraction bar to mean "divided by." This means that 7/15 is the same as 7 divided by 15.
Second, you have requested to see 3 decimal places in your answer, so we'll write the 7 as 7.000 instead (a 7 with 3 zeros after the decimal point).
Now, we'll just do what the fraction bar says: divide 7.000 by 15:
And that's about it! 7/15 written as a decimal to 3 decimal places is 0.467
How do you do this question?
Answers
Answer:
Limit = 2
Step-by-step explanation:
[tex]\sum _{n=1}^{\infty }\frac{2^n}{3^n}\\= \sum _{n=1}^{\infty \:}\left(\frac{2}{3}\right)^n\\\\= \sum _{n=0}^{\infty \:}\left(\frac{2}{3}\right)^n-\left(\frac{2}{3}\right)^0[/tex]
[tex]\sum _{n=0}^{\infty \:}\left(\frac{2}{3}\right)^n=3,\\\\= 3-\left(\frac{2}{3}\right)^0\\= 2[/tex]
In this case it does converge, as 2/3 is between 1 and 0
Answer:
0
Step-by-step explanation:
2ⁿ / 3ⁿ = (⅔)ⁿ
⅔ is less than 1, so as n approaches infinity, the sequence approaches 0.
Pina filled out the following information on the back of her monthly statement:
Ending balance from statement $1,139.78
Deposits outstanding
+ $280.67
Total of checks outstanding
- $656.91
Revised statement balance
Balance from checkbook
$763.54
Find Pina's revised statement balance. Does her account reconcile?
Answers
Answer:
yes
Step-by-step explanation:
It is true that Pina's account reconciles.
The monthly statement is given as:
Ending balance from statement $1,139.78 Deposits outstanding + $280.67 Total of checks outstanding - $656.91 Revised statement balance $ Balance from checkbook $763.54Start by calculating the revised statement at the end of the month.
This is calculated using:
[tex]Revised = Ending\ Balance + Deposit\ Outstanding - Checks\ Outstanding[/tex]
So, we have:
[tex]Revised = \$1139.78 + \$280.67 - \$656.91[/tex]
Evaluate the expression
[tex]Revised = \$763.54[/tex]
By comparison, the revised statement equals the balance from the checkbook.
Hence, we can conclude that her account reconciles.
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A principal of $1700 is invested at 6% interest, compounded annually. How much will the investment be worth after 13 years?
Answers
Answer:
$3626
Step-by-step explanation:
1700*(1+0.06)^13=3625.978
Plz help I don’t know what to do it and I need a explanation for it
Answers
Answer:
A function is defined as an equation in which no x value has two y values. You can find the answer to this via the vertical line test. If you move a pencil across a graph and it does not touch the graph at two points, then it is a function. Utilizing this logic, the correct answer is yes, this is a function.
Step-by-step explanation:
Johnny will work 15 hours a week during the l36 week school year, and 40 hours a
week the other 16 weeks of the year. How many hours will he work over the course
of the year?
Answers
40 hours for 16 weeks = 640 hours
540 + 640 = 1,180 hours total
Helpp me plzzzzzZZzz
Answers
20 POINTS!!!!!!!!!!!!!!
What's a better show, Trailer Park Boys or Adventure Time?
Answers
Answer:
adventure time 100%
Step-by-step explanation:
Both are the best shown in their place.
Trailer Park Boys:A mockumentary sitcom television series from Canada called Trailer Park Boys was created by Mike Clattenburg. The television series, which is a continuation of Clattenburg's 1999 movie of the same name, chronicles the misadventures of a group of trailer park residents, some of whom are ex-convicts, who reside in the fictitious Sunnyvale Trailer Park in Dartmouth, Nova Scotia. After making its Showcase debut on April 22, 2001, the program initially aired for seven seasons before coming to an end with an hour-long special on December 7, 2008. Three additional movies based on the TV show have been produced: The Movie (October 6, 2006); Countdown to Liquor Day (September 25, 2009); and Don't Legalize It (April 18, 2014).Adventure Time:Pendleton Ward produced the American fantasy animated television series Adventure Time[c] for Cartoon Network. The show centers on the exploits of Finn (Jeremy Shada), a young kid, and Jake (John DiMaggio), a dog with the magical ability to change size and shape at will. They engage with Princess Bubblegum (Hynden Walch), the Ice King (Tom Kenny), Marceline (Olivia Olson), BMO (Niki Yang), and other characters while living in the post-apocalyptic Land of Ooo.
Therefore, there is no comparison between the shows, both are the best shows in their place.
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Suppose 7 quesadillas is 49 dollars and 2 mexican burritos are 10 dollars. Find the price of 1 quesadilla and 10 mexican burritos. Explain how you set up this algebraic expression.
Answers
Answer:
17$
Step-by-step explanation:
quesadillas =x
burritos =y
7x =49 $
x=49 :7
x=7$cost a quesadillas
2 y =10$
y=10 :2
y=5$cost a burrito
x+10y
7 +2×5
17 $cost 1 quesadilla and 10 burritos
Answer:
1 quesadilla is 7 dollars and 10 burritos are 50 dollars
Explain:
49/7 is 7, so each quesadilla is 7 dollars. Also, 10/2 is 5 dollars, so each burrito is 5 dollars.
how to mske a ten to find 17_8