Part a.
x = price of car B
x-130645 = difference in price from car A to car B
If x is the larger price, then x-130645 will be positive. If x is the smaller price, then x-130645 is negative.
In short,
x-130645 > 0 when x > 130645x-130645 < 0 when x < 130645Using absolute value will give us
|x-130645| = positive difference in price
The result of an absolute value is never negative
We write the |x-130645| > 10000 to indicate that the difference in price is more than 10000 dollars.
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Answer: | x-130645 | > 10000
================================================
Part b.
We'll use the idea that if |x| > k, then x < -k or x > k
to get the following
|x-130645| > 10000
x-130645 < -10000 or x-130645 > 10000
x < -10000+130645 or x > 10000+130645
x < 120645 or x > 140645
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Answer:
Car B has a price less than $120,645
OR
Car B has a price greater than $140,645
So basically anything that is not between 120645 and 140645. The price has to be positive of course.
Let f(x)=-2x-1 and g(x)=x^2-1
how do you solve this
Answer:
4x^-4/9y^6
Step-by-step explanation:
If the exponent is outside the bracket, it means that all the terms inside will be raised to that exponent. This means that:
(2x^-2 / 3y^3)^2 = 2^2*(x^-2)^2 / 3^2*(y^3)^2
When exponents are raised to an exponent, the exponents are multiplied together, so (x^-2)^2 will = x^(-2*2) = x^-4
Going through:
2^2*(x^-2)^2 / 3^2*(y^3)^2
=4*x^-4 / 9*y^6
=4x^-4/9y^6
Hope this helped!
Kami is cooking dinner for a family reunion that 21 people are attending. If her recipe calls for 1.6 ounces of ground beef per person, how much beef does Kami need altogether?
Answer:
Kami will need 33.6 ounces of ground beef for the recipe
Step-by-step explanation:
From the problem, we know that one person will use up 1.6 ounces of ground beef. We also know that there are 21 people that will be attending the party. Each of those 21 people will definitely use up 1.6 ounces of ground beef.
Hence, for the recipe to be perfect, Kami will have to use 21 X 1.6 ounces = 33.6 ounces of ground to make the recipe for the entire dinner.
what is the answer to the equation 8n + 10 = 50 solve for n
Answer: [tex]n=5[/tex]
Add -10 to each side of the equation
[tex]10 + -10 + 8n = 50 + -10[/tex]
Combine like terms
[tex]0 + 8n = 50 + -10\\8n = 50 + -10\\8n = 40[/tex]
Divide each side by 8
[tex]8n/8=40/8\\n=5[/tex]
Answer:
n = 5
Step-by-step explanation:
8n +10 = 50
-10 -10
8n = 40
8 8
n = 5
Given the graphs of y = f(x) and y = g(x),
g(x) = f(x)
expresses g(x) in terms of f(x).
Step-by-step explanation:
g(x) = f(x) + 4.
This is because g(x) is a translation of f(x) that has been moved up by 4 units. (-2 to 2 when x = 0)
Given the graphs of y = f(x) and y = g(x),
g(x) = f(x) + 3
expresses g(x) in terms of f(x).
The Answer is 3.
{(1,3), (2, 5), (3,-4), (4, -3), (5, -1)} The above is DONE
Function or not a Function?
Answer:
Yes it is a Function
Step-by-step explanation:
Because there are no same x-values with the same y-values
Cooper's account
went into overdraft. To get back to a positive balance, he deposited money at a steady
rate of $23.34 per week. After 6 weeks, he had $102.56 in the account. What was the
balance when the account went into overdraft?
Answer:
the balance was when the account went into overdraft : 37.48 dollars
Step-by-step explanation:
deposit 23.34 for six weeks : 140.04 dollars
140.04-102.56 =37.48 the
the balance was when the account went into overdraft : 37.48 dollars
Which strategie would eliminate a variable in the system of equations? −x+6y=8 7x−y=−2
Answer:
substitution (or addition)
Step-by-step explanation:
A simple strategy for this system is to use substitution. The first equation is easily solved for x, so you could substitute that into the second equation:
x = 6y -8
7(6y -8) -y = -2 . . . . . x variable eliminated
__
The second equation is easily solved for y, so you could substitute that into the first equation.
y = 7x +2
-x +6(7x +2) = 8 . . . . . y-variable eliminated
__
The "addition" method is always a good way to eliminate a variable.
When the coefficient of a variable in one equation is a divisor of the coefficient of that variable in the other equation, a simple multiplication and addition will do.
To make the coefficient of x in the first equation the opposite of the coefficient of x in the second, multiply the first equation by 7. Adding that result to the second equation will eliminate x:
7(-x +6y) +(7x -y) = 7(8) +(-2)
42y -y = 56 -2 . . . . . . x-variable eliminated
Likewise, the second equation can be multiplied by 6 and added to the first to eliminate the y-variable:
(-x +6y) +6(7x -y) = (8) +6(-2)
-x +42x = -4 . . . . . . . . y-variable eliminated
__
It is often the case that using either substitution or "addition" requires about the same amount of work.
Here, the solutions are (x, y) = (-4/41, 54/41).
Simplify 3(у- 1) +7 completely.
А. Зу+6
В. Зу+ 4
С. 3y+10
D. Зу- 3
Answer:
B. 3y + 4
Step-by-step explanation:
Step 1:
3 (y - 1) + 7
Step 2:
3y - 3 + 7
Answer:
3y + 4
Hope This Helps :)
Find the missing side
length of the right
triangle. Remember
a² + b² = c²
12 ft
5 ft
?
If 10 chips are 130 cals how much is just one chip?
2x - 3 = 1 and -3x + 6 = 12
Answer:
I am confused by the question no CAPPPPPP
Step-by-step explanation:
48(13/24)
multiply 48 and 13 over 24
Answer:
when 48 multiply by 24 the answer is 1152
when 13 multiply by 24 the answer is 312
is -2 a solution for 7x+3=-17-3x ?
Answer:
yes -2 is the correct answer
Step-by-step explanation:
7x+3=-17-3x
7x+3x=-17-3
10x=-20
x=-20/10
x=-2
Answer:
[tex]\boxed{\bold{\huge{\boxed{\sf Yes.}}}}[/tex]
Step-by-step explanation:
=> [tex]\sf 7x+ 3 = -17-3x[/tex]
Combining like terms
=> [tex]\sf 7x+ 3x = -17-3[/tex]
=> [tex]\sf 10x = -20[/tex]
Dividing both sides by 10
=> [tex]\sf x = -2[/tex]
So, -2 is a solution of the given equation.
Solve for x.
-6x - 29 = 5x - 7
Answer:
x = -2
Step-by-step explanation:
-6x - 29 = 5x - 7
Add -6x to both sides
-29 = 11x - 7
Add 7 on both sides
-22 = 11x
Divide
[tex]\frac{-22}{11}[/tex] = [tex]\frac{11x}{11}[/tex]
x = -2
Answer:
x = -2
Step-by-step explanation:
move the terms
-6x -5x = -7 + 29collect like terms
-11x = 22
divide both sides of the equation by -11
x = -2Standard Form to Scientific Notation:
5.8 x 107 =
Answer:
just move the decimal a 107 times and add 0's
Step-by-step explanation:
Determine whether the source given below has the potential to create a bias in a statistical study. Washington University obtained word counts from the most popular novels of the past five years. Choose the correct answer below.A. There does not appear to be a potential to create a bias. The organization is reputable and has many professional and credible members.B. There does not appear to be a potential to create a bias. The organization would not gain from putting a spin on the results.C. There does appear to be a potential to create a bias. There is an incentive to produce results that are in line with theorganization's creed and that of its funders.D. There does appear to be a potential to create a bias. There is an incentive to make the results statistically insignificant.
Answer:
B
Step-by-step explanation:
How do I solve 3.24 x 1.2? I have tried and I always get the same answer! Please help! The answer is supposed to be 3.888 but I have gotten 6.47 each time. I'm good at math but I really need help!
Answer:
3.888
Step-by-step explanation:
3.24 × 1.2
Using Multiplication method multiply through like normal multiplication, don't
put your decimal yet
= 3.24
× 1.20
_______
000
6480
+32400
_______
38880
_________
Counting the number of decimal places to knowing where to properly place your decimal sign
3.24 = 2 decimal place
1.20 = 2 decimal place
Total = 4 decimal places
3.8880
Therefore, 3.24 × 1.20 = 3.8880 or 3.888
Point U is on line segment TV. Given UV = 4 and TU = 13, determine
the length TV.
Answer:
17 units
Step-by-step explanation:
what goes in the green box and what is 6 * 28
Solve F(x) for the given domain. Include all of your work in your final answer. Submit your solution. F(x) = x2 + 3x - 2
Answer:
F(a) = a² + 3a - 2
F(x-1) = x² + x -4
Step-by-step explanation:
Note:
Domain is missing, assume domain
F(a)
F(x-1)
Given:
F(x) = x² + 3x - 2
Computation:
1. F(x) = x² + 3x - 2
So,
⇒ F(a) = a² + 3a - 2
2. F(x-1) = (x-1)² + 3(x-1) - 2
F(x-1) = x² + 1 -2x + 3x - 3 - 2
F(x-1) = x² + x -4
Your town got 3.44 inches of rain in June, 5.07 inches in July, and 4.28 inches in August. What was the average rainfall over these three months?
Answer:
4.4366
Step-by-step explanation:
3.44+5.07+4.28=13.31
13.31/3=4.4366
hope this helps
Point P is 1/4 of distance from A (-8,-4) to
B (4,0)
Answer:
√10
Step-by-step explanation:
A (-8,-4) to B (4,0) is distance d
d=√(x2-x1)²+(y2-y1)²
d=√(4-(-8))²+(0-(-4))²
d=√12²+4²
d=√144+16 =√160
d=√16*10=4√10
p is 1/4 of distance = 1/4(4√10)=√10
0
need help with this answer
Answer:
which one?
Step-by-step explanation:
Answer:
There is no question
Step-by-step explanation:
Central Park in New York City is shaped like a rectangle. On a map of the park in the coordinate plane, three of the vertices are located at (-1.25,-0.25) (-1.25, 0.25), and (1.25, 0.25). Distances on the map are in miles. What is the perimeter of Central Park? Show your work.
Is this for the connect it math page I’m stuck on it too
Point B lies between points A and C on Line segment A C . Let x represent the length of segment AB in inches. The length of line A C is 20 inches. The space between points A and B is labeled x. The space between points B and C is labeled 3 x. Use the segment to complete the statements. The value of x is . The length of Line segment A B in inches is . The length of Line segment B C in inches is
Part 1) The value of x is 5
Part 2) The length of line AB is 5 inches
Part 3) The length of BC is 15 inches
Answer:
5
5
15
Step-by-step explanation:
Six girls share 5 1/3 pounds of pretzel each one receive the same amount. However, Sue only eats half of her pretzels and leaves the uneaten on the plate . How many pounds does sue leave on her plate?
Answer:
4/9 pounds
Step-by-step explanation:
5 1/3 pounds of pretzels divided equally for 6 girls would mean that each girl gets 8/9 pounds of pretzel.
If Sue ate half of the 8/9 pounds, that would equal to 4/9 pounds of pretzel.
Need help as soon as possible
Answer:
D. 70
Step-by-step explanation:
if vx is bisector then 3z - 4 = z + 6 add like terms
2z = 10;and z = 5
To find the perimeter we add all side lengths
VU + UW + WV = 5z - 1 + 5z - 1 + 3z - 4 + z + 6 = 14z
we know z = 5 so 14 × 5 = 70
In the figure below, Y is between X and Z
and XZ = 40
Please help ASAPPPP!!!
Answer:
32
Step-by-step explanation:
The value of a is 8.
Option A is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
XZ = XY + YZ
40 = 3a + 8 + a
40 = 4a + 8
40 - 8 = 4a
32 = 4a
a = 32/4
a = 8
Thus,
a is 8.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Determina si el número 2,340 es divisible por 2,3,5,9,y 10. Explica tu respuesta.
Answer: The number 2340 is divisible by 2,3,5,9 and 10
=====================================================
Here's why
2340/2 = 1170 is a whole number, so it is divisible by 2
Note how the last digit is an even number, so overall the number is even and divisible by 2
---------------
Add the digits of the given number to get 2+3+4+0 = 9, showing that it is both divisible by 3 and also divisible by 9. If the digits add to a multiple of 3, then it is divisible by 3. If the digits add to a multiple of 9, then it is divisible by 9. Basically anything divisible by 9 is automatically divisible by 3 as well.
We can see we get whole number results shown below
2340/3 = 780
2340/9 = 260
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The last digit is 0, so 2340 is a multiple of 10. It is also a multiple of 5 because 10 = 5*2
And we can see that
2340/5 = 468
2340/10 = 234
Showing 2340 is a multiple of 5 and 10.