A vertical parabola has its vertex in the second quadrant and y=ax2+bx is the equation of this parabola. Sketch the line that has equation y=ax+b.
Answers
The vertex of a parabola is the minimum or the maximum point of the parabola.
See attachment for the equation of [tex]\mathbf{y = 2x + 1}[/tex]
The equation of the parabola is given as:
[tex]\mathbf{y = ax^2 + bx}[/tex]
For the vertex of the parabola to be in the second quadrant, then the following must be true:
a > 0 and b > 0
Take for instance:
a = 2, and b = 1
So, we have:
[tex]\mathbf{y = 2x^2 + 1x}[/tex]
Rewrite as:
[tex]\mathbf{y = 2x^2 + x}[/tex]
Factor out x
[tex]\mathbf{y = x(2x + 1)}[/tex]
So, the line equation is:
[tex]\mathbf{y = 2x + 1}[/tex]
See attachment for the equation of [tex]\mathbf{y = 2x + 1}[/tex]
Read more about parabolas at:
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Related Questions
make v the subject of the formula
Answers
[tex]T =\dfrac 5{V+1}\\\\\\\implies VT+T = 5\\\\\implies VT = 5-T\\\\\implies V =\dfrac{5-T}T[/tex]
Step-by-step explanation:
One way we can make V the subject of the formulas by rearranging the terms mathematically to get V on one side of the equation and the other terms on the other side:
since T = 5 ÷ (V + 1) [multiply both sides by (V+1)]
T (V + 1) = 5 [divide both sides by T]
(V + 1) = 5 ÷ T [subtract 1 from both sides]
V = (5 ÷ T) - 1 OR [tex]V = \frac{5}{T} - 1[/tex]
If we want the RHS with over a single denominator we can write it as
V = (5 ÷ T) - (T ÷ T) [rewrite 1 in terms of T (T/T)]
V = (5 - T) ÷ T OR [tex]V = \frac{5 - T}{T}[/tex]
Solve.
−4 3/4=x−1 1/5
What is the solution to the equation?
Enter your answer as a simplified mixed number in the box.
X= ??
Answers
Decimal form: x=-3.55
Lashonda is on the swim team. Each week she swims a total of 9000 meters. How many kilometers does she swim each week? Be sure to include the correct unit in your answer.
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Answer:
Rate is 9 kilometers (km)/week.
Step-by-step explanation:
9000 meters is 9 km (divide m by 1000 to get km)
Which value of m is a counterexample for the following statement?
If m is an odd prime number, then m + 2 is also prime.
7
3
5
9
11
Answers
Answer: 7
The prime numbers here are 3, 5, 7, and 11. This means that 9 is not prime. Since 7 +2 is 9, this disproves that m + 2 is also prime.
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Answer:
true
Step-by-step explanation:
because you can start at zero and go on forever adding twos but it'll still be the same
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someone
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somone
Answers
Answer:
-24
Step-by-step explanation:
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Pls answer this 100 points if so
Answers
To your question
Answer:
(f) can you plz mark brainiest
Step-by-step explanation:
the repayment on a loan was Php 23600. If the loan was for 18 months at 12% interest in year, how much was the principal?
Answers
If the repayment on a loan was Php 23600, the principal amount is equal to Php 131,111.11.
Given the following data:
Interest rate = 12%Simple interest = Php 23600Time = 18 monthsConversion:
12 months = 1 year
18 months = 1.5 year
To calculate the principal amount if the interest rate is 12% a year:
Mathematically, simple interest is given by the formula:
[tex]S.I = \frac{PRT}{100}[/tex]
Where:
S.I is the simple interest.P is the principal amount.R is the interest rate.T is the time measured in years.Making P the subject of formula, we have:
[tex]P = \frac{100S.I}{RT}[/tex]
Substituting the given parameters into the formula, we have;
[tex]P = \frac{100 \times 23600}{12 \times 1.5}\\\\P = \frac{2360000}{18}[/tex]
Principal amount, P = Php 131,111.11
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Answers
Answer:
Roman
Step-by-step explanation:
An easy way to solve this is looking at whether the line has a positive or negative slope. We read graphs from left to right so if the line is increasing from left to right, it has a positive slope while a line decreasing from left to right has a negative slope. Since the line shown is decreasing from left to right, it will have a negative slope and Roman is the only one out of the two that shows a negative slope. To check to see if he's correct, we can check the y-intercept. The y-intercept of the line is 8 and Roman also has 8 written in the expression. Hence, meaning Roman is correct.
Best of Luck!
Martin's class has 28 students in it 25 % of those students are homesick today. How many students are home sick
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Plz plz plz plz plz
Answers
C
Hope this helps brotato chip
Multiply. Write your answer as a fraction or as a whole or mixed number. 2 1 5 × 2 =
Answers
If you didn’t mean that then…
2 1/5*2 = 4 and 4/10.
If you meant 21/5*2 = 8 4/10.
Hope one of those helped!! :)
pls solve Solve. 3/4(x−8) =−1/2
x=−26/3
x = 10
x=22/3
Answers
Answer:
i think its the 3rd option
Step-by-step explanation:
i'd'k what it is but you can read it over and over again
(p.s Brainleist?)
Answer:
x=22/3
Step-by-step explanation:
anyone please help me for brainly
Answers
Answer:
A.) [tex]f(x)=25x+40[/tex]
Step-by-step explanation:
Answer:
[tex]f(x)=25x+40[/tex]
Step-by-step explanation:
Hope this helps
what should be included in your financial plan to protect assets
Answers
Answer:
A trust could protect them. Buying liability insurance or an umbrella policy will also help protect assets in case you get sued.
Step-by-step explanation:
A 10-pound bag of grass seed will cover an area of about 4000 square feet. The relationship between pounds (p) of grass seed and area (a) can be written as a = kp. What is the value of k? what does it represent
Answers
Answer:
it represent the 10 pound and 4000 multiply = ans
Find the surface area of the ball shown to the right
d=20
Answers
Answer:
Surface Area = 1,256 cmSolution:
formula: Surface Area of a Sphere: 4π · r²
Surface area = 4π · r²
SA = 4(3.14) (10)²
SA = (12.56)(100)
SA = 1,256
A carnival ride has a sign at the beginning of the line that says "Must be at least 48 inches tall to ride." Which of the following inequalities best represents the allowable height of riders? h > 48 h < 48 h ≥ 48 h ≤ 48
Answers
Answer:
H is equal to and greater than 48 the last one because you must be equal to 48 inches or greater than 48 inches so = would be equal to and < would mean that you must be greater than
Step-by-step explanation:
Answer:
h ≥ 48
Step-by-step explanation:
Height must be greater than or equal to 48 inches tall to ride.
Deon's gas tank is 1/5 full. After he buys 13 gallons of gas, it is 7/10 full. How many gallons can Deon's tank hold?
Answers
Answer/Step-by-step explanation:
We start with the variable "x". Let's call "x" Dan's full tank.
So we know that right now he has 1/5x or 1/5 of a full tank.
After adding 13 gallons, at the end, he has 7/10x, or 7/10 of a full tank
So we start with
(1/5)x + 13 = 7/10x
Let's subtract 1/5x from both sides
13 = 7/10x - 1/5x
Remember, we need to use common denominators to subtract, so 1/3 becomes 2/10
13 = 7/10-2/10x
Now we simplify to get
13 = 5/10x
Multiply the reciprocal of 5/10 to both sides which is 10/5
13 * 10/5= x
Answer is 26 gallons.
Therefore, Deon's tank can hold 26 gallons.
Answer:
26 gallons.
Step-by-step explanation:
7/10 - 1/5
= 7/10 - 2/10
= 5/10 = 1/2.
So the tank holds 2*13 = 26 gallons.
182 divided by 7 step-by-step
Answers
Answer:
26 is the quotient
Step-by-step explanation:
7 * 26 = 182
im not good at explaining but that's the answer
The table gives information about the heights of 50 trees. Work out an estimate for the mean height of the trees.
Answers
Answer:
add h then divide by 2 for h times f
Step-by-step explanation:
what is the sum of the first 8 terms of the geometric sequence 1, 1/2,1/4,1/8,..
(with solution)
PA HELP PO THANKYOUU~
Answers
Answer:
127/64
Step-by-step explanation:
1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64
add all the given and it will result to 127/64
Which graph is right?
Answers
Answer:
top one
Step-by-step explanation:
You are not including -2 (else it would be a greater or equal sign) so the dot has to be empty. You can rule out the middle options.
At this point you either remember that "greater than" means "to the right of" or you pick a convenient number, ie, 0. see that your inequality is true (zero is greater than -2) and you pick the graph where the solid line includes 0.
Find the value(s) of x where the tangent to the graph of y=e^5x is parallel to the
line 10x + y = 17
Answers
Answer:
There are none.
Step-by-step explanation:
No calculus involved:
The line, in slope-intercept form, has equation [tex]y=-10x+17[/tex], ie is always decreasing (easy to spot applying the definition)
Meanwhile, [tex]y=e^{5x}[/tex] is always increasing over its domain.
At no point the tangent will be decreasing.
Let's use calculus
We are to solve the equation [tex]y'(x) = -10 \rightarrow 5e^{5x} = -10 \rightarrow e^{5x}=-2[/tex] which has no real solutions.
25. Save the simultaneous equations 2x-y=4;x+y=5
Answers
Answer:
x = 3
Step-by-step explanation:
2x - y = 4
x + y = 5
y = 5 - x
2x - (5 - x) = 4
2x + x - 5 = 4
3x = 9
x = 3
help will give brainliest
Answers
Answer: the answer is line 2
Step-by-step explanation:
I have tried to answer this every method I can and I can't solve it
Answers
Answer: P1: 17.61 P2: 14.66
Step-by-step explanation:
P1: take total divide by how many numbers used : 229 divided by 13 =17.61
P2: take total divide by how many numbers used : 88 divided by 6= 14.66
A gym is offering a deal to members. Customers can sign up by paying a registration fee of $100 and $28 per month. The function that models this situation is c(m) = 28m + 100, where m is the number of months and c(m) is the cost of becoming a member.
Determine:
6. the shape of the graph
7. the independent and dependent variables
8. the domain and range
9. Interpret the slope and y-intercept values
10. How much will the membership cost for a whole year?
Answers
6) The equation given is written in standard form of writing the equation of a line y = mx + b
Hence the shape of the graph that denotes the equation c(m) = 28m + 100 is a straight line
7) The independent variable is a variable that can stand alone while the dependent variable is depending on all other variables in an expression.
From the given equation c(m) = 28m + 100, the independent variable is (m) while the dependent variable is c(m)
8) The domain is the input value for which the equation exists while the rage is the output value for which the equation exists. For the given expression, the value of the expression will exist at a point where c(m) > 0
28m + 100 > 0
28m > -100
m > -100/28
m > --25/7
The domain is m > -25/7 while the range is c(m) > 0
9) The comparing the equation with y = xm+ b
where x is the slope
28m = mx
x = 28
This shows that the rate of change of cost per member is $28
The y-intercept is the point where the number of months is 0
If m = 0
c(0) = 28(0) + 100
c(0) = 100
The initial cost of membership in the first month is $100
10) Given the formula c(m) = 28m + 100
For a whole year, m = 12
c(12) = 28(12) + 100
c(12) = 336 + 100
c(12) = 436
Hence the membership will cost $436 for the whole year
Learn more here: https://brainly.com/question/17003809
5.
Bread
Cost ($)
Weight (oz)
16
Whole wheat
2.24
Pita
20
3.60
7-grain
16
2.56
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are th
38
Help me
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Answer:
search on chrome 4 mor answer mwa mwa
Step-by-step explanation:
12 liters to quarts rounded to nearest hundredth
Answers
Answer:
12.6
Step-by-step explanation:
have a wonderful day :)
4^4+400÷(4+6^2)−2^4
Answers:
250
244
18
10
Answers
Answer:
250
Step-by-step explanation: