1. Which of the following functions could match the graph shown below?
a. f(x)= 2x
b. f(x) = 2 + x
c. f(x) = x + 0.5
d. f(x) = 0.5x
2. If a car travels for 200 miles at a constant rate of 70 miles per hour, which equation below can NOT be used to find the travel time?
a. 20070=t
b. 70200=t
c. 20 = 7t
d. 200 = 70t
Which of the following situations could match this formula? (There may be more than one correct answer.)
500=100x
a. An object travels 500 feet for 100 seconds.
b. An object travels at 500 miles per hour for 100 hours.
c. An object travels 500 miles at a rate of 100 miles per hour.
d. An object travels 100 inches per minute for 500 minutes.
Answers
We want to answer different things regarding linear equations.
The answers are:
1) d2) b 3) a and c.1) We want to see which function matches the given graph.
So, we can see that this is a linear function, that passes through the origin, so the y-intercept is y = 0.
We also can see that it passes through the point (2, 1).
Then we have that:
1 = a*2 + 0
1/2 = 0.5 = a
So the linear equation is:
y = 0.5*x
Here the correct option is d.
2) We know the relation:
distance = speed*time
So any permutation of these values can be used to find the time.
Then the option that can not be used to find the travel time is:
b) 70/200 = t
Because in this case, we are taking:
speed/distance = time
And that is incorrect.
3) We have the formula:
500 = 100*x
Again, using:
Distance = speed*time
The options that are correct are the ones where 500 represents a distance and the 100 represents time or speed, then the correct options are:
a and c.
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Related Questions
QUESTION 7.1 POINT
Translate the given phrase into an algebraic expression and simplify if possible: the difference of -3 and the product of w
and 2
Answers
Answer:
-3 - (2w)
Step-by-step explanation:
hope this helps!
five friends get together to have a thanksgiving dinner. roger, ted, tom, pam, and donna brought (in no particular order) turkey, salad, dressing, peas, and potatoes. each item was brought on a different colored plate (no particular order) white, purple, black, green, and pink.
- no food begins with the same letter as the name of the person who brought it
- the dressing was not brought by tom or pam
- the person who brought the potatoes and the person who brought the green plate both have names that begin with the same letter
- neither rogers plate nor teds plate was purple and the peas were also not brought on the purple plate
- toms food and the food on the pink plate are not peas or potatoes
- donna did not bring the black plate
try to determine the kind of food each person brought and what color plate it was on
Answers
Pam carried turkey on a black plate, Tom carried salad on a purple plate, Roger carried dressing on a pink plate, Donna carried peas on a white plate, and Ted carried potatoes on a green plate.
To determine the kind of food each person brought and what color plate it was on, the following reasoning must be performed:
- no food begins with the same letter as the name of the person who brought it
Turkey = Roger, Pam or Donna Salad = Roger, Ted, Tom, Pam or Donna Dressing = Roger, Ted, Tom or Pam Peas = Roger, Ted, Tom or Donna Potatoes = Roger, Ted, Tom or Donna Green plate = Roger, Ted, Tom, Pam or Donna Purple plate = Roger, Ted, Tom, Pam or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom, Pam or Donna Pink plate = Roger, Ted, Tom, Pam or Donna
- the dressing was not brought by Tom or Pam
Turkey = Roger, Pam or Donna Salad = Roger, Ted, Tom, Pam or Donna Dressing = Roger or Ted Peas = Roger, Ted, Tom or Donna Potatoes = Roger, Ted, Tom or Donna Green plate = Roger, Ted, Tom, Pam or Donna Purple plate = Roger, Ted, Tom, Pam or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom, Pam or Donna Pink plate = Roger, Ted, Tom, Pam or Donna
- the person who brought the potatoes and the person who brought the green plate both have names that begin with the same letter
Turkey = Roger, Pam or Donna Salad = Roger, Ted, Tom, Pam or Donna Dressing = Roger or Ted Peas = Roger, Ted, Tom or Donna Potatoes = Ted or Tom Green plate = Ted or Tom Purple plate = Roger, Ted, Tom, Pam or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom, Pam or Donna Pink plate = Roger, Ted, Tom, Pam or Donna
- neither Roger's plate nor Ted's plate was purple and the peas were also not brought on the purple plate
Turkey = Roger, Pam or Donna Salad = Roger, Ted, Tom, Pam or Donna Dressing = Roger or Ted Peas = Roger, Ted, Tom or Donna Potatoes = Ted or Tom Green plate = Ted or Tom Purple plate = Tom or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom, Pam or Donna Pink plate = Roger, Ted, Tom, Pam or Donna
- Tom's food and the food on the pink plate are not peas or potatoes
Turkey = Pam Salad = Tom Dressing = Roger Peas = Donna Potatoes = Ted Green plate = Ted or Tom Purple plate = Tom or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom, Pam or Donna Pink plate = Roger or Pam
- Donna did not bring the black plate
Turkey = Pam Salad = Tom Dressing = Roger Peas = Donna Potatoes = Ted Green plate = Ted or Tom Purple plate = Tom or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom or Pam Pink plate = Roger or Pam
- the person who brought the potatoes and the person who brought the green plate both have names that begin with the same letter
Turkey = Pam Salad = Tom Dressing = Roger Peas = Donna Potatoes = Ted Green plate = Ted Purple plate = Tom or Donna White plate = Roger, Tom, Pam or Donna Black plate = Roger, Tom or Pam Pink plate = Roger or Pam
- neither Roger's plate nor Ted's plate was purple and the peas were also not brought on the purple plate
Turkey = Pam Salad = Tom Dressing = Roger Peas = Donna Potatoes = Ted Green plate = Ted Purple plate = Tom White plate = Roger, Pam or Donna Black plate = Roger or Pam Pink plate = Roger or Pam
- Tom's food and the food on the pink plate are not peas or potatoes
Turkey = Pam Salad = Tom Dressing = Roger Peas = Donna Potatoes = Ted Green plate = Ted Purple plate = Tom White plate = Donna Black plate = Pam Pink plate = RogerTherefore, Pam carried turkey on a black plate, Tom carried salad on a purple plate, Roger carried dressing on a pink plate, Donna carried peas on a white plate, and Ted carried potatoes on a green plate.
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Below is an excerpt from the home loan contract Kyle signed with his bank.
“The sum of the principal of the loan and all applicable interest will be divided into 360 monthly payments according to the amortization schedule.
The Buyer shall make each monthly payment by the first day of the month it is due. A payment not received by the first day of the month it is due will be considered delinquent. A payment not received by the fifteenth day of the month it is due will be subject to a late charge of $75.00. If a payment is not received by the last day of the month it is due, the Buyer and transaction shall be reported to the appropriate credit agencies.
In the event of delinquency, the Buyer may divide any payment not received into not more than three equal installments to be included on the next consecutive monthly payments. Notification of the Buyer’s intent to do so must be made by written letter or phone call to the phone number and address listed below within one business week of delinquency.”
Due to some changes at his job and the resulting loss of income, Kyle will not be able to make his monthly payment by the first of the month. He does expect to be able to make it by the 9th of the month. According to the contract, what does Kyle need to do?
a.
Other than pay the monthly payment, Kyle does not need to do anything.
b.
Notify the bank to let them know that his payment is going to be eight days late
c.
Divide this payment into three payments to be included in future monthly payments.
d.
Include an extra $75.00 with his payment to cover the late fee that will be assessed.
Answers
9514 1404 393
Answer:
a. Other than pay the monthly payment, Kyle does not need to do anything.
Step-by-step explanation:
If Kyle plans to make a payment by the 15th of the month, he need do nothing, except make the payment.
If he plans to divide the payment into 3 parts, he needs to contact the bank within a week of the first of the month. If he plans to make a payment after the 15th, he needs to add $75 to it for the late charge.
Answer:
i would think it would be [A Other than pay the monthly payment, Kyle does not need to do anything.]
Step-by-step explanation:
what is 4 1/6÷5 please help
Answers
Answer:
It is 5/6
Step-by-step explanation:
For questions like these use caculator soup you can use it for fractions and much more it shows u how to work the problem out also.
(1 point)
Write the complex number z= -7-10i in polar form: z = r(cos (theta)+ i sin (theta)) where r= and 0 =
The angle should satisfy 0<=theta<=2pi
Answers
Answer:
When a complex number z is written in its polar form,z = r(cos theta + i sin theta), the nonnegative number r is called the magnitude, or modulus, of z.
In mathematics, magnitude is the size of a mathematical object, a property by which the object can be compared as larger as or smaller than other objects of the same kind. More formally, an object's magnitude is an ordering (or ranking) of the class of objects to which it belongs.
I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.
Select the correct answer.
When graphing an inequality, the boundary line needs to be graphed first. Which graph correctly shows the boundary line of the inequality?
y <1/3x+ 1
Answers
Answer:
C is the correct boundary line
Step-by-step explanation:
Answer:
It's so late but give that person they brainliest
Step-by-step explanation:
PLS HELP I NEED THIS DONE TODAY PLSSS WILL GIVE BRAINLY
Answers
Answer:
You need 6 lbs of red potatoes
32oz of cream cheese
43oz cream of potatoe soup
Step-by-step explanation:
Multiply all by 4
Write an equation of the line in slope-intercept form.
Answers
Answer:
y = x + 4
Step-by-step explanation:
From point (-1, 3) to point (0, 4), go up 1 (rise = 1) and go right 1 (run = 1).
slope = m = rise/run = 1/1 = 1
The y-intercept is b = 4
y = mx + b
y = x + 4
Please help. 7th grade homework. All of these has to be turned in by tomorrow morning.
Answers
The first photo: -47/20
The second photo: I can’t really see the photo, sorry!!
The third photo: For a it is 11/2 and for b it is -1/2.
The fourth photo:
I don’t really know what number 6 is asking? The one you circled. Where is the diagram?
A banker estimated a customer's worth to be $127,000. The customer was actually worth $120,000.
Find the percent error.
A. 5.5%
B. 5.6%
C. 5.7%
D. 5.8%
Get 50 points for an answer and brainlyiest for explination
Answers
Answer:
B
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all fractions. 4y-4x= -28
Answers
[tex] \Large{\boxed{\sf y = x - 7}} [/tex]
[tex] \\ [/tex]
Explanation:We are given a linear equation, and we would like to express it in slope-intercept form.
[tex] \\ [/tex]
[tex] \Large{\left[ \begin{array}{c c c} \underline{\tt Slope-Intercept \: Form \text{:}} \\ ~ \\ \tt y = mx + b \end{array} \right] } [/tex]
Where:
m is the slope of the line.b is its y-intercept.(x , y) is a point through which the line passes.[tex] \\ [/tex]
Given linear equation:
[tex] \sf 4y - 4x = -28 [/tex]
[tex] \\ [/tex]
To find the slope-intercept form of the equation, we have to solve for y.
First, add 4x to both sides of the equation:
[tex] \sf \longrightarrow 4y - 4x + 4x = -28 + 4x \\ \\ \\ \longrightarrow \sf 4y = 4x - 28 [/tex]
[tex] \\ [/tex]
Then, divide both sides of the equation by 4:
[tex] \sf \longrightarrow \dfrac{4y}{4} = \dfrac{4x - 28}{4} \\ \\ \\ \longrightarrow \sf y = \dfrac{4x}{4} - \dfrac{28}{4} \\ \\ \\ \longrightarrow \boxed{\boxed{\sf y = x - 7}} [/tex]
[tex] \\ [/tex]
[tex] \hrulefill [/tex]
[tex] \\ [/tex]
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First , Add 4x to both sides :
➱ [tex]\sf{4y-4x=-28}[/tex]
➱ [tex]\sf{4y=-28+4x}[/tex]
Next , Divide all terms by 4 to get y all alone
➱ [tex]\sf{y=-7+x}[/tex]
Rearrange so that our result matches the format for slope - intercept :
➱[tex]\sf{y = x +7}[/tex]
Henceforth, Equation : y = x + 7 .
What is the slope-intercept equation
for the following line?
y = [?]x+O
Answers
Answer:
the answer is Y=1x+1
Pls help meeee the question is in the photo pls no links or fake answers pls answer both questions
Answers
Answer:
Step-by-step explanation:
First one is TRUE...you'd multiply by negative one third
Second is FALSE...no multiplication needed to get x as a positive.
which option is correct?
Answers
Answer:
Option D
Step-by-step explanation:
It is a right triangle because AB ⊥ BC
You have a summer job that pays time and a half for overtime. That means if you work more than 40
hours in a week, your hourly wage for the extra hours is 1.5 times your rate of $12 per hour.
Write a piecewise function describing your weekly pay, P, in terms of the number of hours worked, h.
How much will you get payed if you work 47 hours?
Answers
Answer:
$522
Step-by-step explanation:
How many solutions does this equation have
-4(5-3x)=12x+20
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions
Answers
Answer:
A) no solution
Step-by-step explanation:
It’s A Contradiction
Answer:
its one solution
Step-by-step explanation:
-20+12
BEST ANSWER GETS BRAINLIEST!!!!
A store is having a sale on trail mix and jelly beans. For 3 pounds of trail mix and 8 pounds of jelly beans, the total cost is $31. For 5 pounds of trail mix and pounds of 2 jelly beans, the total cost is 12. Find the cost for each pound of trail mix and each pound of jelly beans.
Answers
Answer:
trail mix costs 1.00 per pound
jelly beans costs 3.50 per pound
Step-by-step explanation:
t = cost of trail mix
b = cost of jelly beans
3t+8b = 31
5t+2b = 12
Multiply the second equation by -4
-4(5t+2b = 12)
-20t+-8b = -48
Add this to the first equation
3t+8b = 31
-20t+-8b = -48
-------------------------
-17t = -17
Divide by -17
t = 1
Now we can find b
3t+8b = 21
3(1) +8b = 31
3+8b =31
Subtract 3
8b = 31-3
8b = 28
Divide by 8
b = 28/8
b = 7/3
b = 3.50
Let trail mix be x and jelly beans be y
The equations are
3x+8y=31-(1)5x+2y=12-(2)Multiplying (1) by 1 and (2) by 4
3x+8y=31---(3)20x+8y=48--(4)Subtracting
[tex]\\ \sf\longmapsto -17x=-17[/tex]
[tex]\\ \sf\longmapsto x=1[/tex]
Putting in eq(2)
[tex]\\ \sf\longmapsto 5(1)+2y=12[/tex]
[tex]\\ \sf\longmapsto 2y=7[/tex]
[tex]\\ \sf\longmapsto y=7/2[/tex]
Hello how to solve this can anyone help
Answers
Step-by-step explanation:
f(1)= 1²+4×1=5
f(2)=2²+4×2= 12
f(3)=3²+4×3=21
domain
1,2,3
range
5,12,21
Integer in algebra
Need help 9th grade
Answers
Answer:
4x + 10 >1
-10. -10
4x < -9
Step-by-step explanation:
make sure to make it less than or equal to
if Vera is 3 times as old as Zoe and 2 times as old as Paul. And the sum of their ages is 33. what is Zoe's age?
Answers
Answer:
Zoe is 6 years old.
Step-by-step explanation:
Vera - V
Zoe - Z
Paul - P
V = 3Z
Z = [tex]\frac{1}{3}V[/tex]
V = 2P
P = [tex]\frac{1}{2}V[/tex]
V + Z + P = 33
[tex]V + \frac{1}{3}V + \frac{1}{2}V = 33[/tex]
[tex]\frac{6}{6} V + \frac{2}{6}V + \frac{3}{6}V = 33[/tex]
[tex]\frac{11}{6}V = 33[/tex]
[tex]V = 33 * \frac{6}{11}[/tex]
[tex]V = 3 * \frac{6}{1}[/tex]
[tex]V = 18[/tex]
V = 3Z
18 = 3Z
Z = 6
tiana car traveled 111 miles on 3/8 1/2 hot dogs in 3 3/4 minutes. how many dogs did he eat in one minute
Answers
111/( 3/8) = x/ 1
Cross Multiply
(3/8)x = 111
Multiply both sides by 8/3 ; reciprocal
x = (8/3) (111)
x = 296 miles
Find the volume of a cylinder either enter. An exact answer in terms of pie or 3.14 please help me
Answers
To find the area of a cylinder, we multiply the area of the base times it’s height. For a cylinder the base is a circle so we use
pi r^2 to find it. In this problem the radius or r = 4 so the area of the base equals 16 pi. The height is 8. So we multiply these two to get the answer of 128 pi
Which of the following statements best describes why the given expression is not simplified?
3x^2–2x+1 - 4x - 6
Answers
Answer:
3x²–6x–5
Step-by-step explanation:
3x²–2x+1–4x–6
collect like terms
3x²–2x–4x–6+1
3x²–6x–5
Pls answer the rest for me I’ll give you brainilist
Answers
Answer:
29 x 8 = 191
62 x 19 = 1,178
8.7 x 12 = 104.4
11.9 x 4 = 47.6
45 x 6 = 270
Find the amount of sales tax for a board game that costs $25.00 at a 7% tax rate
A.$1.75
B.$2.00
C.$2.50
D.$5.00
Answers
To find the tax we have to multiply the percent by the cost.
Remember that in order to do this we need to convert the 7% into a decimal, which means we need to divide it by 100.
7 / 100 = .07
Now lets multiply:
25 * .07 = 1.75
This means that our sales tax is A) $1.75.
I hope this helps! :)
Gavin bought two iPhone Chargers. His reward card at the store Staples saved him $4. He only had to pay $16. How much money did each iPhone Charger cost?
Answers
Answer:
each item would be $10. hope this helps.
Step-by-step explanation:
The original total price of both of them was $20 (16+4). Then you divide 20 by 2 because he bought 2 chargers.
is 2k(2k-4) odd or even?
Answers
Answer: Even
Step-by-step explanation:
Because it shows that the is 2k
the even numbers 2k+2,2k+4,...,4k,4k+2
if 3r = 4s, then r/s = ?
Answers
Step-by-step explanation:
[tex]3r = 4s \\ r \div s = 4 \div 3 \\ \\ \\ \\ hope \: it \: helps.[/tex]
In the given question if if 3r = 4s, This means that r is four times greater than s.
The given equation is 3r = 4s. To find the value of r/s, we can divide both sides of the equation by s. Dividing both sides of the equation by s, we get: (3r) / s = (4s) / s On the right side, the s cancels out, leaving us with: (3r) / s = 4 So, the value of r/s is 4.
An equation is a mathematical statement that states that two expressions are equal. It contains an equal sign "=" and consists of two sides: the left-hand side (LHS) and the right-hand side (RHS).
In this case, r/s represents the ratio of r to s. It indicates how many times r is greater than s. For example, if r = 8 and s = 2, then r/s = 8/2 = 4. This means that r is four times greater than s.
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A statue in a harbor is approximately 295 feet tall. If the angle of the elevation of a ship to the top of the statue is 21.7 degrees, how far is the ship from the statue’s base?
Answers
Answer:
741.3 feet if rounding to the nearest tenth
Step-by-step explanation:
You will do 295/tan21.7 which gives you approximately 741.3 feet
Given that angle a = 15° and angle b = 5°, work out x
Answers
this cant be all the question