Answer:
f(x) = 2x² + 12x + 12; y-intercept is 12
Step-by-step explanation:
f(x) = 2(x + 3)² - 6
This equation is in point slope form. We want to put it in standard form.
According to PEMDAS (parentheses/exponents | multiplication/division | addition/ subtraction), we should solve the exponent first. (the expression in the parentheses is as simplified as possible).
(x + 3)² → (x +3)(x + 3)
To solve this, we need to FOIL (first | outer | inner | last)
F: x²
O: 3x
I: 3x
L: 9
Combine these terms.
x² + 3x + 3x + 9
x² + 6x + 9
Plug this expression back into your original equation.
f(x) = 2(x + 3)² – 6 → f(x) = 2(x² + 6x + 9) - 6
Next, we will distribute the 2 across the parentheses.
f(x) = 2x² + 12x + 18 - 6
Then, combine like terms. (18 & 6)
f(x) = 2x² + 12x + 12
This is your equation in standard form.
Now we want to find the y-intercept. The y-intercept is the y-value when x = 0. Therefore, we need to plug in x = 0 to the equation.
f(x) = 2x² + 12x + 12
f(x) = 2(0)² + 12(0) + 12
Follow PEMDAS again.
[exponents] → f(x) = 2(0) + 12(0) + 12
[multiplication] → f(x) = 0 + 0 + 12
[addition] → f(x) = 12
Your y-intercept is 12.
Hope this helps!
could someone please help and fast
Answer:
x=48 degrees
Step-by-step explanation:
hope this helps :D
Answer:
x=162°
Step-by-step explanation:
interior angle of B= 180-75= 105°
interior angle of E=180-123=57°
105+57=162°
x=162°
Pat was in a fishing competition at
Lake Pisces. He caught some bass
and some trout. Each bass
weighed 3 pounds, and each trout
weighed 1 pound. Pat caught a
total of 30 pounds of fish.
He got 5 points in the
Solve this system to find out how many bass and trout pat caught
competition for each bass, but
since trout are endangered in
Lake Pisces, he lost 1 point for
each trout. Pat scored a total of
42 points.
Question 1
The number of bass are 9 and the number of trout are 3.
Given that, Pat was in a fishing competition at Lake Pisces. He caught some bass and some trout.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Let x be the number of bass and y be the number of trout.
Each bass weighed 3 pounds, and each trout weighed 1 pound. Pat caught a total of 30 pounds of fish.
So, 3x+y=30 --------(I)
Since trout are endangered in Lake Pisces, he lost 1 point for each trout. Pat scored a total of 42 points.
5x-y=42 --------(II)
Use elimination method
Add equation (I) and (II), we get
3x+y+5x-y=30+42
⇒ 8x=72
⇒ x=9
Put x=9 in equation (I), we get
3(9)+y=30
⇒ y=3
Hence, the number of bass are 9 and the number of trout are 3.
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The Grade 5, 6 and 7 classes are putting on a talent show. Fifty percent of
the participants are from Grade 6 and 0.3 of the participants are from
Grade 5. What is the fraction of participants from Grade 7
Answer:
Here's how to solve the problem
Step-by-step explanation:
50% of participants are in 6th grade.
100% - 50% = 50
0.3, when converted to percentage form is 30%
50% - 30% = 20%
This remaining 20% is how many participants, out of the whole, are in the 7th grade
20% = 0.2 = 2/10 = 20/100
The top base of a trapezoid is 18 inches shorter than the bottom base. The top base is 108 inches long.
Let b represent the length of the bottom base. Which equation models the problem?
and don't forget is this problem a adding or subtraction
If you order 3 pizzas, you will get 30 slices of pizza. How many slices are there in one pizza?
Answer:
There are 10 slices in one pizza.
Step-by-step explanation:
30 ÷ 3 = 10
Answer:
10 slices
Step-by-step explanation:
30÷3=10 meaning every pizza will have 10 slices and 2 pizzas will have 20.
expand and simplify (X+7) (x-2)
Urgent please my teacher threatened me with an axe
Answer:
x²+5x-14
Step-by-step explanation:
expand out the brackets:
x²-2x+7x-14
simplify:
x²+5x-14
James wants to find the average cost of transportation he used on holiday?
Train tickets: £8.50
Coach Tickets: £7.00
Bus Tickets : £5.70
Taxi Fares : 62.00
What is the mean cost of transportation?
Which piece of data distorts the mean average?
1. Train Tickets
2. Coach Tickets
3. Bus Tickets
4. Taxi fares
The mean cost of transportation is £20.80
The peace of data that distorts the mean average is the taxi fares.
Step-by-step explanation:
Since the mean is the average, you add all the piece of date together then divide by the amount of data.
The equation for that would look something like this:
[tex](8.5 + 7 + 5.7 + 62) \div 4[/tex]
URGENT PLEASE HELP
6
Solve for b.
b = ✓ [?]
IN
E
b
Enter the number that
goes beneath the
radical symbol.
Answer:
6.32
Step-by-step explanation:
6^2 - 2^2
✓40
=6.32455532
2d.p = 6.32
Três garçons trabalham em um restaurante. No final de um dia de trabalho, um deles recebeu R$
24,00 de gorjeta, o segundo recebeu R$ 57,00 e o terceiro recebeu R$ 39,00. Como eles sempre
dividem por igual toda a gorjeta, quantos reais cada um recebeu nesse dia?
Step-by-step explanation:
70 Reis espero ter ajudado
Joel has a goal to practice his clarinet for 4 hours per week. The list 5 1below shows the number of hours Joel has practiced so far this week. Monday 1 hours 2 1 Wednesday 1 hours 3 1 Thursday 1 hour How many more hours does Joel need to practice this week to meet his goal?
Answer:
Joel need to practice this week = [tex]\frac{3}{4}[/tex] hour
Step-by-step explanation:
P.S - the exact question is -
As given
Total practice goal of Joel = [tex]4\frac{1}{2}[/tex] hours
He practiced on : Monday - [tex]1\frac{1}{2}[/tex] hours
Wednesday - [tex]1\frac{1}{4}[/tex] hours
Thursday - 1 hour
Let the remaining practice = x hours
⇒ Total practice = [tex]4\frac{1}{2}[/tex] hours
⇒[tex]1\frac{1}{2}[/tex] + [tex]1\frac{1}{4}[/tex] + 1 + x = [tex]4\frac{1}{2}[/tex]
⇒ 1 + [tex]\frac{1}{2} + 1 + \frac{1}{4} + 1 + x = 4 + \frac{1}{2}[/tex]
⇒3 + x - 4 = [tex]\frac{1}{2} - \frac{1}{2} - \frac{1}{4}[/tex]
⇒x - 1 = [tex]-\frac{1}{4}[/tex]
⇒x = [tex]-\frac{1}{4} + 1 = \frac{-1 + 4}{4} = \frac{3}{4}[/tex]
⇒x = [tex]\frac{3}{4}[/tex] hour
∴ we get
Joel need to practice this week = [tex]\frac{3}{4}[/tex] hour
Harry receives a package for his birthday the package weighs 50 Oz what is the weight of the package in pounds and ounces?
Answer:
3 pounds 2 oz
Step-by-step explanation:
1 pound = 16 oz
x pounds = 50 oz
Cross Multiply
16x = 50 oz Divide by 16
x = 50 / 16
x = 3 pounds with 2 oz left over.
Your calculator will give you 3.125
0.125 = 1/ 8
1/8 * 16 = 2
Elimination equations
9x - 4y = 19
4x+4y=20
The solution to the system of equations 9x - 4y = 19 and 4x + 4y = 20
is x = 3 and y = 2.
What are linear and non-linear functions?A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x - 2 depicts a linear function because it is a straight line in the coordinate plane.
Any function whose graph is not a straight line is said to be nonlinear.
Any curve other than a straight line can be a graph of it.
An example of a non-linear function is a quadratic function.
Given, Two linear equations in two variables 'x' and 'y',
9x - 4y = 19 and 4x + 4y = 20.
Now, Adding these two equations we have,
13x = 39.
x = 3 and hence y = 2.
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HELP PELASE ASAPppppp
Answer:
Its 33,44,55.
Step-by-step explanation:
Anna, Laura and David each earn the same monthly salary.
Each month, Anna saves 19 percent of her salary and spends the rest of it.
Laura spends 17/20 of her salary and saves the rest of it.
Amount of salary David saves : amount of salary he spends =2:8.
Work out who saves the most of their salary each month.
Show how you got your answer.
im really confused on this question
Answer:
im confused on that question too but here is the a pic for u
Step-by-step explanation:
Work out the sum below. Give your answer as a mixed number in its simplest form 1 1/5 divided by 3/4
Answer:
Answer vary:
1 3/5
Step-by-step explanation:
I have no idea how to explain I did it on paper but if you look up how to divide fractions it‘ll show you how and that’s how you get your answer or use a calculator.
1. turn 1 1/5 into an improper fraction = 6/5
this is how it should go :
1 1/5 divided by 3/4
1 1/5 turns into 6/5
3/4 divide 6/5
and after that you jus keep going and if you don’t know how to divide fractions look it up and it should show you.
The sum of the mixed fraction number 1 ¹/₅ and the fraction number 3/4 will be 39/20.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
The two numbers are given below.
1 ¹/₅ and 3/4
Convert the mixed fraction number into a fraction number. Thew we have
1 ¹/₅ = 1 + 1/5
1 ¹/₅ = 6/5
Then the sum of the fraction numbers 6/5 and 3/4 will be calculated as,
⇒ 6/5 + 3/4
⇒ (24 + 15) / 20
⇒ 39 / 20
The sum of the mixed fraction number 1 ¹/₅ and the fraction number 3/4 will be 39/20.
More about the Algebra link is given below.
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An airplane on autopilot took 9 hours to travel 6552 kilometers. What is the unit rate for kilometers per hour?
Answer:
728
Step-by-step explanation:
6552/9 = 728
Kaydence and Delilah are playing mini golf. Delilah's final score was 42. In mini golf, the player with the lowest score wins. Kaydence has 5 holes left and has a score of 27. This inequality represents x, the average number of shots she can take on each hole in order to beat Delilah's score. Which inequality shows how many shots she can take on each hole, on average, in order to beat Delilah's score? A. X < 3 B. X < 4 C. X < 10 D. X < 5
Answer:
A. X < 3
Step-by-step explanation:
Let x represent the average number of shots Kaydence can take on each hole in order to beat Delilah's score.
Delilah final score is 42 while Kaydence has 5 holes left and has a score of 27. Hence:
number of holes left for Kaydence * x < Delilah final score - Kaydence present score
That is:
5*x < 42 - 27
Simplifying gives:
5x < 15
Dividing both sides by 5 to make x the subject of the inequality:
5x / 5 < 15 / 5
x < 3
Answer:
The person from the top was correct
Step-by-step explanation:
x < 3
Add the fractions.
1/2+ 1/12
Answer:
1283/1000
Step-by-step explanation:
or 2/14
Answer
7/12
Step-by-step explanation:
Ok last question its very "hard" mods don't delete
what is 3x+12= 42
Answer:
x is 10.
Step-by-step explanation:
3x + 12 = 42
Subtract 12 from both sides
3x = 42 - 12
Subtract 12 from 42 to get 30
3x = 30
Divide both sides by 3
x = 30/3
Divide 30 by 3 to get 10
x = 10
производительность первого станка 14 деталей в минуту А второго 10 деталей в минуту сколько первый заказ за 5 минут Сколько минут потребуется второму станку Для выполнения этого заказа
Answer:
Can you pls enter the correct question
????????????????????????
Right answer gets brainlist
Answer:
546
Step-by-step explanation:
Surface Area = 2(lw + lh + wh)
plug in 21 10.5 and 2.5
A couch was originally priced $500 dollars and on sale for 70% off what is the price for after the discount
Answer: the answer would be $150
Step-by-step explanation:
Answer:$150.00
Step-by-step explanation:
If you think about a item going down by 70%, it means that you are paying only 30% of the total price.
100%-70%=30%
So 30% of $500 is what you are paying.
30%=30/100=0.3
So you multiply 0.3x500
Which is equal to 150
If I run 50 yards, how much less did I run (in inches) than 50 meters?
Answer: 168.5 inches
50 yards = 1800 inches
50 meters = 1968.5 inches.
So, if you run 50 yards, you run 1968.5 - 1800, 168.5 inches less than 50 meters.
Let me know if this helps!
Choose the correct inequality statement to compare the following two integers.
9 and 2
options:
9 < 2
2 > 9
9 > 2
2 = 9
Answer:
3. trust me because 9 is leads than 2
Classify the Polynomial by its number of terms.
Trinomia
O Polynomial
O Monomia
Binomial
Answer:
it is a polynomial because it has more than two terms
Zeda described four triangles as shown below:
Triangle P: Two angles measure 50°.
Triangle Q: All sides have length 13 cm.
Triangle R: Two sides have length 3 cm, and the included angle measures 60°.
Triangle S: Base has length 5 cm, and base angles measure 30°.
Which triangle is not a unique triangle? (5 points)
Triangle P
Triangle Q
Triangle R
Triangle S
Answer:
Triangle P
Step-by-step explanation:
ABCD is a trapezium
AD and BC are parallel
Work out the length of BD to 1 decimal place
Work out the length of CD to 1 decimal place
Answer:
a) 12.1
b) 15.1
Step-by-step explanation:
find the product of 4h+6 and h-5
Answer:
4h^2 -14h - 30
Step-by-step explanation:
Foil the binomials:
Multiply the first two 4h^2
Multiply the outer two -20h
Multiply the inner two +6h
Multiply the last two terms -30
Then combine like terms and you get final answer