Answer:
so substitute x with 6
y = 4 + 36 + 1
so y or f(x) would = 41
Answer:
f(6) = 109
Step-by-step explanation:
Given polynomial:
f(x) = 2x2 + 6x + 1To Find:
f(6)Solution:
Here,in order to find f(6), substitute x = 6 onto the polynomial given:
f(x) = 2x^2 + 6x + 1f(6) = 2(6)^2 + 6(6) +1Now Simplify using PEMDAS rule.
f(6) = 2(36)+36+1f(6) = 72+36+1f(6) = 108+1f(6) = 109Hence, f(6) will be 109.
Match the Vocab Word to the definition.
Remember, you are allowed to use your notes to help you!
Question 1 options:
Multiply a sum by multiplying each addend separately and then adding the products.
∙a(b + c) = ab + ac
∙k(m – n) = km - kn
Part of an expression that is added or subtracted.
∙These can be a single number or a variable, or
numbers and variables multiplied together.
A letter or symbol that represents a value.
It's a number on its own, it has a fixed value.
The number in front of a variable.
1.
Distributive Property
2.
Term
3.
Variable
4.
Constant
5.
Coefficient
if motorist drove a distance of 90km at constant speed for the first 40km and then drove 30 km/hr faster for the rest of the journey if the journey took him one hour, his average speed for the first 40 km is
Answer:
Step-by-step explanation:
The motorist drove at a distance of 90km at a constant speed for the first 40km, and then 20 km/hr faster for the rest of the journey.
The whole journey took him 1hr.
Let S denotes the average speed (in km/hr) for the first 40 km.
Hence we get the following relation,
40/S + (90 - 40)/(S + 20) = 1
or 50/(S + 20) = 1 - 40/S = (S - 40)/S
or (S + 20)(S - 40) = 50S or S^2 - 70S - 800 = 0 or (S - 80)(S + 10) = 0
or S = 80 (km/hr) [Ans]
[S cannot be negative value]
Paul wanted to bring his family to the Children’s Museum. There was an exhibit with carnival rides. The tickets for each ride were $1.35 per ticket. Paul purchased 30 tickets for the rides and spent a total of $46.85 at the museum. Paul spent his money only on ride tickets and admission. The price of the museum admission is the same for everyone. (a) Define your variables. (b) Write a linear equation that can be used to determine the cost for anyone who only pays for tickets and museum admission. Use y to represent the total cost and x to represent the number of ride tickets. (c) Explain your answer to Part 1b.
Do NOT say you don't know, include files, or anything else. I need real answers not people faking answers to get points.
We want to define and solve a linear equation to model the given case.
The answers are:
a) x = number of tickets, y = total cost.
b) y = $1.35*x + $6.35
We know that:
The tickets for each ride were $1.35 per ticket.
Paul purchased 30 tickets
He spent a total of $46.85 (on tickets and admission)
The cost for the 30 tickets is:
30*$1.35 = $40.50
a) Now we can define two variables:
y = total cost
x = number of tickets
b) the linear equation would be:
y = $1.35*x + P
Where P is the price of admission.
And we know that the total cost for 30 tickets is $46.85, then we have:
$46.85 = $40.50 + P
$46.85 - $40.50 = P = $6.35
So the admission price is $6.35
This means that the linear equation is:
y = $1.35*x + $6.35
c) Brief explanation, we have the variable y that represents the total cost, it is equal to the admission price (which we found) plus $1.35 times the number of tickets bought (x).
If you want to learn more, you can read:
https://brainly.com/question/13738061
The sum of three times a number and −4 is at most 17.
Answer:
7
Step-by-step explanation:
17 +4 = 21
21/3 = 7
5. The lengths of the sides of a triangle are x, 2x + 1 and 5x + 4 inches. If the perimeter is 53
inches, what is the value of x?
Equation: Xt2x+/+5x+4-53
Solution:
Answer:
x = 6
Step-by-step explanation:
The perimeter is the sum of the 3 sides
Sum the 3 sides and equate to 53
x + 2x + 1 + 5x + 4 = 53 , simplify left side
8x + 5 = 53 ( subtract 5 from both sides )
8x = 48 ( divide both sides by 8 )
x = 6
A car moving at a constant speed passed a timing device at t = 0. After 6 seconds, the car has traveled 534 ft. Write a linear function rule to model the distance in feet d the car has traveled any number of seconds t after passing the timing device.
Answer:
d = 89t
Step-by-step explanation:
d = distance --- t = timing device --- x = speed or feet per x
d = tx
linear equation from this (SOLVE) --> 534 = 6x ---> 89 = x
linear equation --> d = 89t
Answer:
[tex]f(x)=89x[/tex]
Step-by-step explanation:
With the given information, you have 2 points.
1. (0, 0)
2. (6, 534)
With 2 points, you can calculate the slope of the linear function.
[tex]m=\frac{y2-y1}{x2-x1} \\m=\frac{534-0}{6-0} \\m=\frac{534}{6} \\m=89[/tex]
Finally, you can write a function:
[tex]f(x)=mx+b[/tex]
No need to calculate the y-intercept as thats already given in point (0, 0).
[tex]f(x)=89x+0\\f(x)=89x[/tex]
What is the slope of this line?
−15
15
5
−5
Number graph ranging from negative 5 to 5 on both the x and y axis. A line passes through the point begin ordered pair 0 comma 2 end ordered pair and the point begin ordered pair 5 comma 3 end ordered pair
Step-by-step explanation:
if I understand your text right, we are looking at the line going through the points (0, 2) and (5, 3).
the slope is in a line equation always the factor of x.
anyway, it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point on the line to another.
so, we are simply going from (0, 2) to (5, 3).
x changes by +5 (from 0 to 5).
y changes by +1 (from 2 to 3).
so, the slope is y/x = 1/5.
Answer:
B. [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
answer please
urgently....
Answer: Picture is cropped can you send the full photo
Step-by-step explanation:
Please send the full photo
What is the slope of the graph?
Find the value of x. Th angles on a triangle .Please explain your method.
The internal values of all triangles are worth 180°, so knowing this, just form a 1st degree equation to respond, remembering that the value 180°, will stay after the equal sign of the equation.
A)[tex]\sf x+125^{\circ}+80^{\circ}=180\\\\\\\sf x+205=180\\\\\\\sf x=180-205\\\\\\\boxed{\sf x=-25^{\circ}}[/tex]B)[tex]\sf x+68^{\circ}+318^{\circ}=180\\\\\\\sf x+386=180\\\\\\\sf x=180-386\\\\\\\boxed{\sf x=-206^{\circ}}[/tex]Okay?!Given that 7:3 = m:12 what is the value of m? POSSIBLE ANSWERS a) 8 b) 10 c) 16 d) 28
Answer:
option d
Step-by-step explanation:
7:3 is the same as 28:12 which means that m is 28
A triangle has sides with lengths of 16 meters, 7 meters, and 12 meters. Is it a right triangle?
Graph the equation
Y= 1/4x^2-2x
See attached
(If this is incorrect, please add in parentheses so I can make sure I have the order correct. Thank you.)
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Owen invested $81,000 in an account paying an interest rate of 3\tfrac{7}{8}3 8 7 % compounded continuously. Zoe invested $81,000 in an account paying an interest rate of 3\tfrac{1}{4}3 4 1 % compounded monthly. After 9 years, how much more money would Owen have in his account than Zoe, to the nearest dollar?
Answer: $6322
114800.8806 - 108478.6929
= 6322.1877
Rounded to the nearest dollar = $6322
Answer:6761
Step-by-step explanation:
if a woman sells bitcoins for £42000 which is 12%more than she originally bought them for then calculate the original value of her bitcoins
Compared to last year, the population has increased 25%. The population is now 6,600. What was the population last year?
What number of population do I put for each for percentage?
Answer:
4,950
Step-by-step explanation:
:)
1,650-25% 3,300-50% 4,950-75% 5,280-100%
Step-by-step explanation:
convert the percentage to a decimal then multiply by 6,600. To get the number of people of 100%, divide 1.25 (the percent of 6,600) by 6,600. That should be right,
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.50 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.
10.
Peter is 1.64 metres tall.
Peter is 18 centimetres taller than Nick.
San
Work out Nick's height in metres.
Answer:
the height of nick is 1.46
Step-by-step explanation:
because to change cm into m we need to divide it by 100so 18/100is 0.18
and total height of Peter is 1.64 so if we -the 0.18then we can get nick's height
Answer:
1.46
Step-by-step explanation:
1.64 to cm is 164
164-18 = 146
146 to meters is 1.46
Convert into an exponential expression
Answer:
Step-by-step explanation:
I need to know the answer to this question
LIE
TRUTH
TRUTH
THE DETAILED ANSWER IS IN THE IMAGE ATTACHED.
HOPE IT HELPS YOU......
PLEASE MARK AS BRAINLLIEST!!!
Find the distance between the points
a. 4
b. 5
c. 6
d. 7
Answer:
b. 5
Step-by-step explanation:
Jamie went on a vacation with his family. He spent 32.25% of the total cost on the airline tickets, of the total cost on hotels, and 12.75% of the total cost on food. If he spent of the remaining amount on shopping, what percentage of the total cost was spent on shopping?
Answer:
In my opinion he spent 55%
Bus A and Bus B leave the bus depot at 9 am.
Bus A takes 30 minutes to complete its route once and bus B takes 40 minutes to complete its route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Assume the buses have no breaks in between routes.
Give your answer as a 12-hour clock time.
Please help x
Answer:
SteThe difference between climate change mitigation strategies and climate change adaptation is that mitigation is aimed at tackling the causes and minimising the possible impacts of climate change, whereas adaptation looks at how to reduce the negative effects it has and how to take advantage of any opportunities thap-by-step explanation:
What is 1/16 divided by 3
Hello angeltomlin!
[tex]\mathfrak{\frac { \frac { 1 } { 16 } } { 3 }}\\ = \mathfrak{\frac{1}{16\times 3}} \\ = \boxed{\mathfrak{\frac{1}{48} \approx 0.0208}}[/tex]
Steps :
Our question is 1/16/3.To do this, at first, we need to bring 16 to the denominator along with 3.1/16 × 3 = 1/48So, our answer is 1/48 which is aproximately equal to 0.0208.Refer to the attached picture if the steps are not clear.
____________
Lucazz
Does anyone get this?
Dilation is the transformation that changes the size of a shape.
4 is a positive number so the shape will increase in size.
So after dilating every side by 4:
0,1
-0.5,0
1,0
We get
0,4
-2,0
4,0
18 is 120 percent of what number
Answer:
18 is 120 percent of 15Step-by-step explanation:
100/120 = 15
15/100, which means that 18/120 as a percentage is 15%.
hope this helps :)
describe fully the single transformation that maps triangle A onto triangle B.
Profit of ₹50 Height of 60 cm above the sea 50 km towards south Deposit of ₹1,000 30 m below the sea level A rise in temperature by 15° C
Answer:
1. Loss ₹50
2. - 60
3. 50 km towards North
4. 1000
5. - 30
6. - 15° C
plz help!!!!!!!!!!!!!!!
Answer:
equation of line of best fit: y = -.018x + 7.3
y-intercept = 7.3
correlation coefficient = -.018
correlation coefficient indicates there is no correlation between the x-and-y values
Step-by-step explanation:
A phone company charges $25.00 a month for 500 minutes.
Every minute over 500 cost $0.75. If a customer uses 530
minutes how much will their monthly bill amount to?
Answer:
$47.50
Step-by-step explanation:
75 times 30 is 2,250, so then we put back the decimal and its 22.50, add that to 25.00, your answer is 47.50