how to answer 6x+19x+4=2x-1 with the quadratic formula
Answers
6x² + 19x+ 4 = 2x -1
The general form of the quadratic equation is:
ax² + bx + c = 0
We need to put our equation in general form:
6x² + 19x+ 4 = 2x -1
6x² + 19x+ 4 - 2x +1 = 0
6x² + 17x + 5 = 0
By comparing our equation with the general form, we would find that:
a = 6
b = 17
c = 5
Now, to get the solution, we will substitute with the values of a, b and c in the quadratic formula shown in the attached image
This will give us the following solutions:
either x = [tex] \frac{-17+ \sqrt{(17)^2-4(6)(5)} }{2(6)} = \frac{-1}{3} [/tex]
or x = [tex] \frac{-17- \sqrt{(17)^2-4(6)(5)} }{2(6)} = \frac{-5}{2} [/tex]
Hope this helps :)
Related Questions
Yesterday, Jed's bank account balance was –$26.34. He deposited some money into his account so that the balance is now $42.18.
How much did he deposit into his account?
$68.52
$15.84
$68.42
$16.84
PLEASE HELP ME!! I AM DOING AN EXAM
Answers
:) anyone know this please
Answers
The squirrel stored seven more than three times as many nuts as the chipmunk. The chipmunk stored x acorns.Write an expression that shows how many acorns the squirrel stored.
Answers
i think that is the imperresion
Peach juice and mango juice were mixed in a ratio of 6 to 4 to make tropical punch. A tape diagram representing the ratio of peach juice to mango juice is shown
Answers
because 6/4 can be reduced to 3/2 by canceling two from the fraction.
The total quantity of the tropical punch in terms of cups is 60 units.
How to get the total quantityLet P represent the volume of peach juice and M represent the volume of mango juice in the tropical punch.
Given the ratio of Peach : Mango is 6:4, which simplifies to 3:2:
This can be mathematically represented as:
[tex]\( \frac{P}{M} = \frac{3}{2} \) or \( P = \frac{3}{2}M \)[/tex]
In this ratio:
- The volume of peach juice contributes 3 units out of a total of 5 units (3 units peach : 2 units mango) of the tropical punch.
- The volume of mango juice contributes 2 units out of a total of 5 units (3 units peach : 2 units mango) of the tropical punch.
1 unit of the mixture = 12 cups
Therefore, 5 units of the mixture = 5 * 12 = 60 cups
Hence, the total quantity of the tropical punch in terms of cups is 60 units.
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Question
Peach juice and mango juice were mixed in a ratio of 6 to 4 to make tropical punch.
Fill in the blank with the correct number below to complete the statement.
(statement)… After 12 cups of mango juice were added, the amount of mango juice and peach juice were the same. There were ____ cups of tropical punch to start with
Number choices to fill in the blank: 18, 69, 36, 72, 60, or 24
Fossils are remains of organisms found in sedimentary rock. These remains are found in thousands of rock layers around the world and provide evidence for Earth's long history of changing lifeforms. Rock layers that formed more recently A. contain fossils of animals only. B. contain fossils of plants only. C. contain fossils that resemble existing species less closely than do fossils found in older rock layers. D. contain fossils that resemble existing species more closely than do fossils found in older rock layers.
Answers
Rock layers that formed more recently contain fossils that resemble existing species more closely than do fossils found in older rock layers.
Explanation:Fossils found in rock layers provide evidence for Earth's long history of changing lifeforms. Rock layers that formed more recently contain fossils that resemble existing species more closely than do fossils found in older rock layers. This is because the more recent layers contain organisms that are more similar to the species that exist today.
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Mason’s friends want him to contribute $300 toward a weekend trip, but he doesn’t have that much money in his budget. He does have $150 to spend. What is a financially responsible decision for Mason?
A.
Mason should ask his friends to plan a less expensive trip.
B.
Mason should spend the $300 because his friends asked him.
C.
Mason should get an easy-access loan to pay for the trip.
D.
Mason should go into debt and spend $450 on the trip.
Answers
Hope this helped!
Aphrodite traveled 144 leagues in 12 days. Then she doubled her rate. How long would it take her to travel 168 leagues at this new speed?
Answers
The first step in solving this problem is to compute for the original rate of Aphrodite.
144 leagues / 12 days = 12 leagues/day (original rate)
It was stated in the problem that she doubled her rate which she means she has a new rate of 24 leagues/day (12 x 2).
168 leagues / 24 leagues/day = 7
Therefore, it would take her 7 days to travel 168 leagues at her new speed.
Jeff had $20. He spent 1/8 of his money on lunch and 2/5 of his money at the movies. How much money does Jeff have left?
Answers
total fraction of his expenses on lunch and movies is:
(2/5+1/8)
=21/40
the remaining fraction is:
1-21/40
=19/40
thus the amount of cash that Jeff was left with will be:
19/40×20
=$ 9.5
Today, the great Pyramid of Giza bear Cario, Eygpt, stands 137 meters tall, coming to a point . A base is a square with each side measuring 230 meters wide. What is the slope of the pyramid
Answers
The correct answer is [tex]1.191[/tex]
To find the slope of the pyramid, we need to calculate the ratio of the vertical change (height) to the horizontal change (half of the base length).
Given information:
- Height of the pyramid (vertical change) = 137 meters
- Base length of the pyramid = 230 meters
- The base of the pyramid is a square, so each side is 230 meters wide
Step 1: Calculate the horizontal change, which is half of the base length.
Horizontal change = [tex]\frac{1}{2} \times Base length[/tex]
Horizontal change = [tex]\frac{1}{2} \times 230 meters[/tex]
Horizontal change = 115 meters
Step 2: Calculate the slope by dividing the vertical change (height) by the horizontal change.
Slope =[tex]\frac{\text{Vertical change}}{\text{Horizontal change}}[/tex]
Slope = [tex]\frac{137}{115}[/tex]
Slope = [tex]{1.191}[/tex]
Therefore, the slope of the pyramid is 1.191.
The data below show the number of games won by a football team in each of the last 15 seasons. What is a histogram that represents the data? 3 4 8 12 7 2 1 15 16 6 10 13 4 1 5
Answers
Using intervals of width 5, we have
0-4, with a frequency of 6
5-9, with a frequency of 4
10-14, with a frequency of 3
15-19, with a frequency of 2
The histogram that represents the data will be given below.
0-4, with a frequency of 6
5-9, with a frequency of 4
10-14, with a frequency of 3
15-19, with a frequency of 2
What is a histogram representation of data?One of its most used graphs for displaying frequency tables is the histogram. The ordinal scale, as we all know, describes how frequently each individual value appears in the data collection.
The data below show the number of games won by a football team in each of the last 15 seasons.
3, 4, 8, 12, 7, 2, 1, 15, 16, 6, 10, 13, 4, 1, 5.
Arrange in ascending order. we have
1, 1, 2, 3, 4, 4, 5, 6, 7, 8, 10, 12, 13, 15, 16.
Then we have
Using intervals of width 5, we have
0-4, with a frequency of 6
5-9, with a frequency of 4
10-14, with a frequency of 3
15-19, with a frequency of 2
More about the histogram representation of the data link is given below.
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Which sequence could be used to transform pentagon p to pentagon Q
Answers
Can someone help me with this math ploblem.
Answers
1. $11,866.50
2. $9083
3. $6299.50
4. $3516
As for B, the equation would be $14,650 - $2783.50y
Because they are both closed under the operations of addition, subtraction, and multiplication, polynomials form an analogous set to which of the following?
Select one:
A. The imaginary numbers
B. The natural numbers
C. The irrational numbers
D. The integers
Answers
Answer:
The integers
Step-by-step explanation:
Your home state uses a linear model y= 24(x - 70) + 1274 to predict the number of vacationers (y) as compared to the average temperature for that week (x). Find the number of vacationers predicted for a week with an average temperature of 85 degrees.
Answers
y=24(15)=1274
y=360+1274
y=1634
A smoothie recipe calls for 2 1/4 cups of frozen mango. If the recipe serves two, how many cups of frozen mango is needed to serve one
Answers
So the answer would be 1 1/8.
Hope this helps!!
Is rolling doubles a simple event or compound event? Explain.
Answers
is {1,2,3,4,5,6}
A simple event can be defined as a SINGLE outcome : Example getting a 3 OR 5 OR any other number from the sample space.
Now if you roll 1 dice & you want to get an even number (2,4,6) then you have chosen from the sample space 3 outcome & this is a compound event
Equally if you roll 2 dice and want to get "one" and/or "three" this is a compound event since you have chosen 2 outcome from the sample space.
Mind you, if you want 5 And 5 when rolling two dice it's a simple event because you have chosen ONE outcome from the sample space.
Hope this will help you to understand this kind of problem
is {1,2,3,4,5,6}
A simple event can be defined as a SINGLE outcome: Example getting a 3 OR 5 OR any other number from the sample space.
Now if you roll one dice & you want to get an even number (2,4,6), then you have chosen from the sample space three outcomes & this is a compound event
Equally, if you roll two dice and want to get "one" and "three," this is a compound event since you have chosen two outcomes from the sample space.
Mind you, if you want 5 And 5 when rolling two dice it's a simple event because you have chosen ONE outcome from the sample space.
A spherical tank has a radius of 6 yards. It is filled with a liquid that costs $7.15 per cubic yard.
What is the total value of the liquid in the tank?
Use 3.14 for π .
Enter your answer in the box to the nearest cent.
Answers
288π=V
288πx7.15=$6,465.89
so value of liquid = $7.15 * (4/3)* 3.14 * 6^3
= 6465.89 cu yards
The boys' soccer team is having a celebration at the end of the season.There are 8 boys on the team and they have ordered 7 pizzas to share.What fraction of a pizza will each boy get?
Answers
and you need to know how many of the boys will get so the total number of boys is 8 and they only ordered 7 pizzas so the fraction is
7/8
:)
hope this helps
mark all the statements that are true :)
Answers
You are right Its A and C
The statements that are true for the function given in the image is, the domain of the function is set of all real numbers, the range of the function is set (-5 }, the correct option is A and C.
What is a Function?A function is a law that relates a dependent and an independent variable.
The function in the image is y = -5,
The range of the function is [-5 ].
The domain of the function is set of all real numbers.
To know more about Function.
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Four cups of hummingbird food that is 20% corn syrup is mixed with six cups of humming bird food that is 15% corn syrup. What percent of corn syrup is in the mixture??
Answers
how do i add 1 1/6+ 3/5
Answers
6 and 5 least common factor is 30
So multiply each number to get 30
11/6 x5 = 55/30
3/5x6= 18/30
55/30+18/30 = 68/30
Simplified
34/15
Brooke has 24 pencils and 36 erasers. If she makes identical goodie bags for her friends with no pencils or erasers left over, what is the greatest number of snack bags Brooke can make?
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Hope this helped☺☺
(That means each goody bag will have 2 pencils and 3 erasers)
What is the effect on the graph of the parent function f(x) = x when f(x) is replaced with f(x - 7)?
Answers
Can somebody please help me, I’m stumped. Please explain easily too
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how do you find the least common multiple of 16 and 42?
Answers
To find the LCM of 16 and 42, we need to see what numbers can be divided by both 16 and 42 and so on.
16 ÷ 2 = 8
42 ÷ 2 = 21
Now, we multiply the results.
2 × 8 × 21 = 2 × 168 = 336
A box of colored game pieces contains 60 pink, 55 silver, and 40 white pieces. One piece is randomly selected. To the nearest percent, what is the probability of the event? Drag and drop the correct value into the box. P(silver)=
26%35%37%39%
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What is the LCD of 3 8/9 and 1 5/12?
Answers
A set of cards contains cards numbered 1 – 8. Mrs. Jacob’s class is conducting an experiment in which a card is drawn from the pile, the number is recorded, and then the card is returned to the set. The class will conduct 1,000 trials. Based on the theoretical probability, which is the best prediction for the number of times a 4 will be drawn from the pile?
111
125
143
250
Answers
Answer:
2nd Option is correct.
Step-by-step explanation:
We are given a set of cards containing numbers from 1 to 8 on each cards.
Randomly a card is drawn and noted.
This is repeated 1000 times.
To find: Number of time 4 will be drawn from the pack using theoretical probability.
We know that,
Theoretical Probability: Probability which is based on reasoning and written as a ratio of the number of favorable outcomes to the total number of outcomes.
Probability of getting 4 from the pack = [tex]\frac{1}{8}[/tex]
Now, Number of the times 4 will be drawn from pack out of 1000 times
= [tex]\frac{1}{4}\times1000[/tex]
= 125
Therefore, 2nd Option is correct.
sdfasfafsdgagzdgdagdagagda
Answers
We plug into slope-intercept form [tex]y=mx+b[/tex] to get [tex]y=7x+5[/tex].
y = 7x + 5
Explanation:
The equation of line in slop-intercept form is:
y = mx + c
where:
m is the slope
c is the y-intercept
We are given that the slope = 7. Therefore, the equation becomes:
y = 7x + c
Now, we need to get the value of c. To do so, we will substitute with the given point (0,5) in the equation and solve for c as follows:
y = 7x + c
5 = 7(0) + c
c = 5
Based on the above, the equation of the line is:
y = 7x + 5
Hope this helps :)
there are226 pets enter in the pet show what is 226 rounded to the nearest hundreds