Answers
Answer:
y = -1/2 x + 25
The relationship is linear, but it takes some doing.
Step-by-step explanation:
Remark
This is a very interesting problem. I've never seen one quite like it. There is probably a much better way of solving it, but I did not discover it.
You have to introduce another variable which I labeled as z.
Let time = x
Let distance = y
Let the step away from the starting point = z which will be the same for x and y. So 18 and 16 the step away from the start is 3.
So as the time increases, the distance decreases. What we are going to do sort of resembles a parametric relationship.
t starts with 10
x = 10 + 4*(z - 1) and increases by 4 with each step
d starts with 20 and decreases by 2 with each step
y = 20 - (z - 1)*2
Now solve for z in each of the forgoing equations.
x = 10 + 4z - 4
x = 6 + 4z
x - 6 = 4z
(x - 6)/4 = z
y = 20 - 2z + 2
y = 22 - 2z
y - 22 = - 2z
(y - 22)/-2 = z
Since the zs must be kept the same, the left sides are equated
(x - 6)/4 = (y - 22)/-2 Cross multiply
-2(x - 6) = 4(y - 22) Remove the brackets.
-2x + 12 = 4y - 88 add 88 to both sides.
-2x + 100 = 4y Switch the sides
4y = - 2x + 100 Divide by 4
y = -1/2 x + 25
Now for sure you have to try this.
Let x = 14
y = -1/2 * 14 + 25
y = -7 + 25
y = 18
Try another one
Let x = 22
y = -1/2 * 22 + 25
y = - 11 + 25
y = 14
Those two at least check.
Related Questions
The product of two consecutive positive integers is 1,332. Explain how you can write and solve a quadratic equation to find the value of the larger integer.
Answers
Answer:
The numbers can be written as x and x + 1. Set the product of the numbers equal to 1,332 to get x(x + 1) = 1,332. You can solve the quadratic equation by using the quadratic formula, completing the square, or factoring. When you solve the quadratic equation, you find that x = –37 and 36. Since the question asked for positive integers, the only viable solution is x = 36. To solve for the larger integer, you add 1 to 36 to get an answer of 37.
Step-by-step explanation:
sample response
The first consecutive number is 36 and the second consecutive number is 37.
What are the consecutive numbers?Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.
Let the first consecutive number be x and the second consecutive number be (x+1).
The product of two consecutive positive integers is 1,332.
[tex]\rm x\times (x+1)=1332\\\\x^2+x=1332\\\\x^2+x-1332=0\\\\x^2+37x-36x-1332=0\\\\x(x+37)-36(x+37x)=0\\\\(x+37)(x-36)=0\\\\x+37=0, \ x=-37\\\\x-36=0, \ x=36[/tex]
(Ignoring the negative value of x).
The first consecutive number = x = 36
The second consecutive number = x+1 = 36 + 1 = 37
Hence, the first consecutive number is 36 and the second consecutive number is 37.
Learn more about consecutive numbers here;
https://brainly.com/question/12556742
#SPJ2
Rewrite the following without an exponent. (9/5^-2)
Answers
Answer:
225
Step-by-step explanation:
5^-2 can be rewritten as 1/25.
Then we can divide 1/25 by 9. 9/(1/25)= 225
if the sum of roots of the quadratic equation x^(2)-3kx-(k+2)=0 is equal to the product of roots,find k
Answers
Answer:
1/2
Step-by-step explanation:
quadratic equation is ax²+bx+c=0
Products of roots is c/a
Sum of roots is -b/a
On comparing the above equation with general equation we have
a=1
b=-(3k)
c=-(k+2)
Now it is given that sum of roots and product of roots is equal
So,
-b/a=c/a
-b=c
-[-(3k)]=-(k+2)
3k=-k-2
3k+k=-2
4k=-2
k=-1/2
Rachel types 50 words per minute. She needs to type a 1,500 word report. Determine how many minutes it will take her to type the report from the solution set
Answers
Answer:
30 min
Step-by-step explanation:
1500/50=30
Answer:
30 minutes
Step-by-step explanation:
1500 words/50 words per minute = 30 minutes
Trigonometry, NEED HELP ASAP
Answers
Answer:
[tex]sin(\theta_1) = \dfrac{\sqrt{357} }{29}[/tex]
Step-by-step explanation:
The parameters of the angle θ₁ are;
The location of θ₁ = Quadrant II
cos(θ₁) = -22/29
We note the following;
1) The sine of an angle in quadrant II is positive
2) The cosine of an angle in quadrant II is negative,
2) The cos of an angle = The adjacent leg length to the reference angle divided by the hypotenuse length of a right triangle
3) With regards to the right triangle for finding cos(θ₁)
The adjacent leg length = -22 (The x-axis is negative in quadrant II)
The hypotenuse length = 29
The negative sign is obtained from the value of cosine in the quadrant
Therefore, by Pythagoras' theorem, for a right triangle, we have;
The opposite leg length to 'θ₁' = √(29² - 22²) = √(357)
[tex]sin\angle X = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}[/tex]
Therefore, we have;
[tex]sin(\theta_1) = \dfrac{\sqrt{357} }{29}[/tex].
can someone please help i beg you. i have to say why this is wrong and solve this correctly. i beg you please
Answers
.Step-by-step explanation:
can some give me the anwsers
Answers
Answer:
150 -160
Step-by-step explanation:
I not amazing at this but i do know this is kinda hard. sorry if it is wrong
yoo i got a paper due tmrw if anyone could answer this that’d be bomb thank u
x/8- 3/4=5/8 , solve the equation for x
Answers
Hey guys I really need help can somebody help me please I’m struggling
Answers
Answer:
C
Step-by-step explanation:
IQR means interquartile range.
first, lets organize the numbers in ascending form.
21, 23, 25, 29, 30, 31, 33, 34
the median, or the middle number is between 29 and 30.
we need to use the method Q3-Q1
find the median of the two halves.
Q3 is 32 (between 31 and 33) and Q2 is 24 (between 23 and 25)
32 - 24 = 8
the answer is 8
3 + 2x - y = 0, -3 - 7y = 10x}
Answers
Answer:
In point form:
( -1 , 1 )
In equation form:
x = − 1 , y = 1
help!!
Show that 1 + tan2(x) = sec2(x)
Answers
Answer:
tan2(x) + 1 = sin2(x)/cos2(x) + 1 = [sin2(x) + cos2(x)]/cos2(x) = 1/cos2(x) = (1/cos(x))2 = sec2(x). Thus tan2(x) + 1 = sec2(x).
Step-by-step explanation:
Answer: Not an identity
Step-by-step explanation:
help please thank you!
Answers
Answer:
yes
Step-by-step explanation:
good
can I get help please
Answers
Answer:
Answer is D
Step-by-step explanation:
This table represents the monthly fees for checking accounts at two banks.
Which statement is best supported by the information in the table?
Answer options:
a) The fee at Sunset Bank will be less than the fee at Oceanview Bank only when the checking account balance is more than $200.
b) The fee at Sunset Bank will always be less than the fee at Oceanview Bank.
c) The fee at Sunset Bank will always be more than fee at Oceanview Bank.
d) The fee at Sunset Bank will be less than the fee at Oceanview Bank only when the checking account balance is less than $200.
Answers
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answers
Jan notes that 6 out of every 18 cars that pass her on the
highway are red. Which of the following is the best prediction of
how many red cars will pass Jan out of the next 54 cars that go
by?
A) 6
B) 18
C) 48
D) 54
Answers
Answer:
B) 18
Step-by-step explanation:
6 out of 18 is 6/18 = 1/3
1/3 x 54 = 18
4)
Which set of numbers are equivalent?
A)
5
5%, 0.5, 5/100
100
B)
8
8%, 0.08, 8/10
10
C)
10.
10%, 0.1,
10/100
D)
12%, 0.012,
12/100
Answers
Answer:
It’s c
Step-by-step explanation:
.1 can also be written as .10 which when you multiply by 100 is 10 so it’s also written as 10%
? Pls help!!!!!!!!!!!!
Answers
Ex
Break it apart
Shape one
10x8=80
Shape two
2x6=12
Shame three
6x5=30
Add all up is 122 square yards
I am not sure if this is the real answer but I hope this is
HELP ME PLSLSS I WILL MARK BRAINLEST
Answers
Answer:
1017.36cm^3
Step-by-step explanation:
9^2pi*4=1017.36
Describe the translation between the blue pre-image and the Maroon image.
(Multiple Choice In image)
Answers
Step-by-step explanation:
D.. all points on blue are translated 7 units downwards
I will give brainlist if someone awnsers this correctly.. thank u have a good day!
Answers
Answer:
Step-by-step explanation:
3. The sale price is $37.50 and the discount is $12.50 off.
You can get this by doing 25/100 = x/50 and solving the equation to find the discount and then use the discount and subtract it from the total
4. The Forever 21 dress is less because if you use the equation that we used for question 3 you can find the discount of both and then use the discount and subtract from the total.
Hope that helps!
Solve for m:
598 + 15.75m < 850
Answers
Answer:
m < 16
Step-by-step explanation:
598 + 15.75m < 850
15.75m < 850 - 598
15.75m < 252
m < 16
A store had 112 diet sodas. The ratio of diet sodas to regular sodas was 8:4. How many regular sodas were there?
Answers
Answer:
56
Step-by-step explanation:
There are two ways the answer to this question can be determined
Method 1 : the fast method
We know that 8 is twice 4
4 x 2 = 8
The ratio of diet soda = 8
the ratio of regular sodas = 4
Diet sodas = 112
the number of regular sodas = 112 / 2 = 56
Method 2 : The long method
I would first determine the total number of diet and regular sodas. Let the total number be represented by d
from the question, the following equation can be derived :
(8/12) x d = 112
divide both sides of the equation by 12/8 to determine the value of d
d = 112 x (12/8) = 168
We can now derive a value for the number of regular soda
regular sodas = ( ratio of regular sodas / total soda) x total number of sodas
(4/12) x 168 = 56
Whats 50x^3 - 23x +9
anegays this for my friends
Answers
Answer: there are no like terms
I'm not sure if you have the wrong equation but there are no like terms
Round 4.743 to the nearest hundredth
Answers
Answer:
4,700
Step-by-step explanation:
4 is not big enough to round the 7 up to a 8
SOMEONE HELPPPPPPPP PLEASE?!!?!!!??!!?
Answers
Answer:
(10, 5)
Step-by-step explanation:
The circle is located at (10, 5)
in ABC , Ab=7 , BC=9, AND AC=9, What is the smallest angle of the triangle ?
Answers
Answer:
Angle C
Step-by-step explanation:
It is an isoceles triangle.
pls dont put links or I'll report ty
Answers
x < 9
_
Step-by-step explanation:
I am not sure if this is correct. but i think the answer is x with closed circle so that will mean underlined.
I just need help on confirming my answers please.
Answers
Answer:
A and D would be the correct answers
Step-by-step explanation:
The customer saves $.96 by using a coupon. The coupon takes 30% off the original price of the serial. What is the original price of the box of cereal?
Answers
Divide .96 by 30 to get 1%
Then times that by 100 to get the original price