The product of two consecutive odd integers is 2,115. Find the integers. Which of the following quadratic equations could be used to solve the word problem?a. x² + x - 2,115 = 0
b. x² + 2x - 2,115 = 0
c. x² + 2x + 2,115 = 0
Answers
Answer B
Let x the first number
x+2 the second
x*(x+2)=2115
==>x²+2x-2115=0
==>x=45 or x=-47
==>(x=45 and x+2=47) or (x=47 and x+2=-45)
Answer:
x² + 2x - 2,115 = 0
Step-by-step explanation:
Two consecutive odd integers looks like x+2. consecutive numbers are x+1. (odd numbers skip by 2 numbers. like between 5 and 7 is 2. )
SOOOO....
Now we can start. The product of two consecutive odd integers looks like
x(x+2) and it equals 2, 115 ---> x(x+2)=2,115
solve left side: x^2 +2x = 2,115
then move 2115 to left side to have a quadratic equation (make it equal to zero)
now we have:
x^2 +2x -2,115=0
that is you answer!
Hope it helps! ;)
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Find the slope between (1,16) and (9,9). Substitute in the following numbers that are missing. Rise (? - 6) Run (9 - ?)
HELPPP ASAPPP! PLZWhich system has no solution? A.4y = 2x – 6 B.3x + 5y = 7 4x = 2y – 5 C.2y = 4x + 2 D.2x = 5y + 4 15y = 6x – 12
21 years 8 months =months?
Answers
-15n-20=40
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Answers
PEMDAS
parenthaseees
exponents
multiplication or division whichever comes first
addition or subtraction whichever comes first
parenthases first
inner to outer
left to right
treat a/b as (a)/(b) so simplify the fraction top and bottom as much as possible
the parenthaseese we have to simplify are
(20-5^2), (16+2^2), (3*2^2)
(20-5^2)
exponents first
5^2=25
now we have
(20-25)
subtract
20-25=-5
other parenthasees
16+2^2
exponent,
2^2=4
16+4=20
next
3*2^2
exponent
2^2=4
3*4=12
so the equaiton we have now is
exponents
-2^3 =-1 times 2^3
exponent first
2^3=8
-1 times 8=-8
now we hav
treat the numberator and denomenator as if they are in parenthasees so try to simplify them next
(-5)(20)=-100
-8+12=4
now we have
division
-100/4=-25
Answers
Answer:
Step-by-step explanation:
y = mx + b
Take any two points and set up 2 equations with 2 unknowns.
I'll start with the first two
y = 4x + b
410 = 4x + b (1)
440 = 6x + b (2)
Subtract (1) from (2)
440 = 6x + b
410 = 4x + b Subtract
30 = 2x Divide by 2
30/2 = 2x/2
x = 15
440 = 6(x) + b
440 = 6*15 + b
440 = 90 + b
b = 350
Now here is what you found.
Her base salary is 350 dollars
Each television she sells brings her an addition 15.
Answers
Normally, I would pass right by this question, because it is so complicated
and there are so many numbers in it. But I've allowed myself to become
seduced by the bounty of a full 5 points waiting at the end of the rainbow,
and I decided to rush in where more reasonable people would rightly fear
to tread.
The answer is a number, that represents "after how many hours". So we
need to know how many hours AFTER WHAT. The question is not very
clear on when the beginning of time is, so I need to decide. I'm going to
say that the time when the bus leaves is the beginning of time. And I'm
going to call ' H ' the number of hours AFTER the bus leaves.
-- The bus covers 50 miles every hour. So 'H' hours after the bus leaves,
the bus is 50H miles away from the city, in some direction.
-- The car leaves 2 hours later. So 'H' hours after the bus leaves, the car
has only been traveling for (H-2) hours.
-- The car covers 70 miles every hour. So 'H' hours after the bus leaves,
the car is (70)x(H-2) miles away from the city, in the OTHER direction.
-- Since the bus and the car are moving in opposite directions, the distance
between the bus and the car is the SUM of the distances each one covers.
'H' hours after the bus leaves, they are (50H) plus (70)(H-2) miles apart.
What we need to figure out is: When is that distance 800 miles ?
The distance between them at 'H' hours after the bus leaves is
(50H) plus (70)(H-2) miles
Eliminate the first parentheses: 50H + (70)(H-2)
Eliminate the rest of the parentheses: 50H + 70H - 140
Combine the terms with 'H' in them: 120H - 140
So here's the equation: 120H - 140 = 800
Add 140 to each side: 120H = 940
Divide each side by 120 : H = 7.8333 hours
= 7 and 5/6 hours
= 7 hours and 50 minutes
after the bus leaves.
Check:
Assume that H = 7 hrs 50 minutes (7 and 5/6 hours)
The bus has covered (50 x 7-5/6) = 391 and 2/3 miles.
The car has been traveling for only 5 and 5/6 hours
The car has covered (70) x (5-5/6) = 408 and 1/3 miles
How far apart are they ? (391-2/3) + (408-1/3) = 800 miles ! YAY!
Note: If the book or the homework sheet wants to count the hours
after the CAR leaves, then the answer is 5-5/6 hours, not 7-5/6 .
A. 8+2
B. 10- 2
C. 7+3
D.9+4
Answers
This is because this simplifies to;
10>8
Answer is B. 3+7>10-2
Answers
Let amanda's age be x and her dad's age be y.
Amanda’s dad is twice as old as she, therefore 2x=y
The sum of their ages is 66, therefore x+y=66
x+y=66
2x=y,
substitute.
2x+x=66
3x=66
Divide.
x=22.
plug it back in, 22+y=66, y=44.
Amanda's age is 22 and her dad's age is 44.