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]
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Related Questions
There is a bag filled with 3 blue, 4 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 green?
Answers
Answer:
35/72
Step-by-step explanation:
1). A home repair crew charges seventy-five dollars per day plus two hundred fifty-five
dollars for each hour the crew works. One day the crew works c hours and charges a
total amount of one thousand, six hundred five dollars. How many hours does the crew
work?
Answers
Answer:
Approx 3 hours.
Step-by-step explanation:
750 + 255c = 1605
255 c = 855
c = approximately 3 hours.
Answer:
The crew worked 6 hours.
Step-by-step explanation:
$255 x 6 = $1530
Add the "Per Day Fee" of $75
$1530 + $75 = $1605 Dollars
Question 5(Multiple Choice Worth 1 points)
(04.02 MC)
City A and City B had two different temperatures on a particular day. On that day, four times the temperature of City A was 8° C more than three times the temperature of City B. The temperature of City A minus twice the temperature of City B was −3° C. The following system of equations models this scenario:
4x = 8 + 3y
x − 2y = −3
What was the temperature of City A and City B on that day?
City A was 5° C, and City B was 4° C.
City A was 3° C, and City B was −1° C.
City A was 8° C, and City B was −3° C.
City A was 5° C, and City B was −5° C.
Answers
Answer:
City A was 5c, and city B was 4c so it’s the first one
Step-by-step explanation:
I just took the test and I got it right
Answer:
City A was 5c, and city B was 4c
Step-by-step explanation:
Find the perimeter. Simplify the answer.
Answers
Answer:
21u-26
Step-by-step explanation:
add all the side lengths together: 7u + 3u -10 + 6u - 8 + 5u - 8 = (7 + 3 + 6 + 5)u + (-10 -8 -8) = 21u - 26
The value of an autographed baseball card increased from $39 to $65.
What is the percent increase in value of the baseball card? Round to the nearest hundredth of a percent.
Answers
Answer: The percent of increase is 66.67%.
Step-by-step explanation:
Find the percent of increase of baseball cards.
Step 1: Subtract the starting value from the final value.
65 - 39 = 26
Step 2: Take the value you get and divide it by the starting value.
26 ÷ 39 = 0.666667
Step 3: Multiply what you get by 100.
0.666667 × 100 = 66.6667
Step 4: Round what you get the nearest hundredth of a percent.
66.6667 → 66.67%
Rearrange v=u+at to make t the subject of formula.
A. t=(u-v)/(a)
B. t=(v-u)/(a)
C. t=(u+v)/(a)
D. t=(v+u)/(a)
Answers
Answer:
t=(v-u)/a
hope it will help you
-8 - (-3) find the sum
Answers
Answer:
Step-by-step explanation:
Help me please!! This is timed and I’m stuck
Answers
Answer:
D is the correct answer
Step-by-step explanation:
Answer:
B. 13/2Step-by-step explanation:
Given equation:
2x² + 7x - 15 = 0It has roots r and s.
We know how to find the sum and product of roots.
Sum of roots:
r + s = -7/2Product of roots:
rs = -15/2Use the above two equations to work out the value of r - s:
[tex]r - s = \sqrt{(r - s)^2} =[/tex][tex]\sqrt{(r+s)^2-4rs} =[/tex][tex]\sqrt{(-7/2)^2-4(-15/2)} =[/tex][tex]\sqrt{169/4} =13/2[/tex]Correct choice is B
Is this a function?
Answers
Answer:
Yes
Step-by-step explanation:
Yes, the graph represents a function because it passes the vertical line test: Any vertical line drawn through this graph intersects this graph only once.
HURRY I NEED IT FOR 3rd GRADE MATH
Whats 73 + 82
Answers
Answer:
155
Step-by-step explanation:
Answer: 155
Step-by-step explanation:
73
+82
155
plsefgrffghttgrewe helppppppppppppppppppppppppppppp
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The slope of the given line is its constant of proportionality ~
so, let's find the slope ~
[tex] \sf\dfrac{y_2 - y_1}{x_2 - x_1} [/tex][tex] \sf \dfrac{4 - 0}{1 - 0} [/tex][tex] \sf 4[/tex]The required value is ~ 4
After adding 17 to a number, x, you get 23.
The equation that represents the above statement is .
The value of x in the equation is .
Answers
Answer:
The equation that represents the above statement is 17+x = 23
The value of x in the equation is 6
Step-by-step explanation:
17+x = 23
x = 23 - 17
x = 6
In the equation log10? = 5, the value that could replace the "?" is
Answers
Answer: 10000
The correct answer is 10000.
Grace has $105 to buy a cake and pizza for her cousin’s birthday party. She knows she needs to set aside $25 for the cake, and the rest of the money she can spend on pizzas. Each pizza costs $9.25. How many pizzas can Grace afford to buy?
pls simplify
WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST AND GETS IT RIGHT!!!
Answers
Hello there!
Grace has $105 for pizzas and a cake.
She sets aside $25, so we subtract:
105-25=80
So she has $80 for pizzas.
Now, to find out how many pizzas Grace can buy, we take $80 and divide it by the price of one pizza (9.25):
The approximate answer is 8.6
Hope it helps
~Just a gloomy teen who misses her best friend
#CarryOnLearning
[tex]SilentNature[/tex]
Find surface area I need help
Answers
Step-by-step explanation:
π x r^2 + π x r^2 + 2 x π x r x h
4π + 4π + 16π = 24π
How to divide with decimals and fractions.
Answers
Answer:
Dividing Decimals
Step 1: Estimate the answer by rounding .
Step 2: If the divisor is not a whole number, then move the decimal place n places to the right to make it a whole number.
Step 3: Divide as usual.
Step 4: Put the decimal point in the quotient directly above where the decimal point now is in the dividend.
Step-by-step explanation:
Step 1. Turn the second fraction (the one you want to divide by) upside down
(this is now a reciprocal).
Step 2. Multiply the first fraction by that reciprocal
Step 3. Simplify the fraction (if needed)
can you only give brainliest on your own question?
Answers
Answer:
im sorry i dont know but you can try
Step-by-step explanation:
[tex](x+7)(x-2)[/tex]
Answers
Answer:
x^2+5x-14
Step-by-step explanation:
Using FOIL method, we get (x^2)+(-2x)+(7x)+(-14), which is just x^2+5x-14
FOIL = First, Outer, Inner, Last
answer dis please
Aiko3han owo
Answers
Answer:
b
Step-by-step explanation:
How many kilograms would the Beagle be?
33 kg
5 kg
15 kg
8 kg
WILL MARK BRAINLY NO BOTS
Answers
Answer:
I think it would be 15 kg I'm not sure
What is a logarithm.
Answers
Answer:
Logarithms were invented in the 17th century as a calculation tool by Scottish mathematician John Napier (1550 to 1617), who coined the term from the Greek words for ratio (logos) and number (arithmos
Step-by-step explanation:
Complete the missing factors
6a^2 + 11b - 35b^2 = ( 3a _______)(2a______)
please help me, thank you.
Answers
That’s the answer
Suchitra works at the local supermarket. She gets paid $22.50 per hour. Her time card
is shown below
Day In Out
Monday 9:00 a.m. 5:00 p.m.
Tuesday 9:00 a.m. 6:00 p.m.
Wednesday 8:30 a.m. 5:30 p.m.
Thursday 9:00 a.m. 4:30 p.m.
Friday 9:00 a.m. 4:00 p.m.
a How many hours did Suchitra work this week?
b .Find her weekly wage
Answers
Answer: she worked 31 hours ( I believe so)
Step-by-step explanation: hope that helps
whats is 8:55 after 25 minutes
Answers
40 cookies are in a jar. 1/5 of the cookies are chocolate cookies. Someone eats 1/4 of the chocolate cookies. How many cookies remain in the jar?
Answers
Based on the number of cookies in the jar and the number eaten by the person, the number of cookies remaining is 38 cookies.
The total number of chocolate cookies is:
= Total cookies x Percentage that is chocolate
= 40 x 1/5
= 8 cookies
Someone eats 1/4 of this which is:
= 8 x 1/4
= 2 cookies
The number of cookies left is:
= Number of cookies - Number of cookies eaten
= 40 - 2
= 38 cookies
In conclusion, there are 38 cookies remaining.
Find out more at https://brainly.com/question/18104324.
someone please help me asap
Answers
Answer:
I only can see that one of them are B i don't know for the rest
Step-by-step explanation:
Highlight and name a pair of overlapping congruent triangles in each diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS, or HL.
Answers
Step-by-step explanation:
Diagram 1
ΔALP ≅ ΔMLN by ASAΔANO ≅ ΔMPO by AAS (angle O is common)Diagram 2
ΔMQW ≅ ΔSRW by SSSΔMQR ≅ ΔSQR by SSS (QR is common side)Diagram 3
ΔAGR ≅ ΔOGR by SSSΔARO ≅ ΔARF by HLDiagram 4
ΔGOS ≅ ΔGTR by ASA (∠G is common)ΔSTU ≅ ROU by AAS (∠U is congruent as vertical and RO = ST)What is the surface area of the cylinder with height 8 km and radius 4 km? Round
your answer to the nearest thousandth.
Answers
The solution is: the surface area of the cylinder is 301.44 km².
Here, we have,
from the given diagram, we get,
For surface area of a cylinder:
A = 2(π) × (radius) × (height) + 2(π)×(radius squared)
For the first half of that equation:
2(π) × (radius) × (height)
2 × (3.14) × (4) × (8)
= 200.96 km²
Now the second half of that equation, the area of the circle ends:
2(π)×(radius squared)
= 2 × (3.14) × (4) × (4)
= 100.48 km²
Add them up:
200.96 km² + 100.48 km² = 301.44 km²
Hence, The solution is: the surface area of the cylinder is 301.44 km².
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What is the value of the function y= 2x– 3 when X=-1?
-5
-1
2
3
Answers
Answer:
-5
Step-by-step explanation:
The sum of two numbers is 52. The greater number is 4 more than the smaller number. Which equation can be used to solve for the smaller number ?
×-(×+4)=52
×+(×+4)=52
×(×+4)=52
×(×-4)=52
Answers
Answer:Let's assume x be the smaller number.
Given that, The greater number is 4 more than the smaller number.
So, greater number= x+4.
It's also given that, The sum of two numbers is 52. Which means sum of x and x+4 must be equa to 52. Hence,
x + (x + 4) = 52
Step-by-step explanation: