(no links or files) Solve this equation using the quadratic formula. This question should be solved both ways. (1) Quadratic Formula and (2) Factoring
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a=2 b=5 c=-3
-5 +or- sqrt 5^2-4(2)(-3) / 2(2)
-5 +or- sqrt 49/ 4
-5 + 7 /4 = 2/4 = 1/2
-5 - 7 /4 = -12/4 = -3
Factoring a*c is 2*-3 =-6
Factors of -6 that add to 5 are 6 and -1
Split 5x into +6x-1x
2x^2+6x-1x-3 and group
2x(x+3)-1(x+3)
(x+3)(2x-1)=0
x+3=0 gives x=-3
2x-1=0 gives x=1/2
Related Questions
PLEASE HELP. Will give 70 points!!! Demonstrate In A Brief Paragraph How The Search To Explain Planetary Orbits Exemplifies The Scientific Method and the use of models.
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People firstly believe that the planets move in a circular orbit until Newton came up with his hypothesis by inventing calculus so that we could understood and calculated planetary orbits and their accuracy.
Explanation:
Everyone assumed the planets were perfect circles until Newton came up with an idea. Slowly people would make maps of the orbits that added circles on circles, and they could never really explain about the movement of the planet. They simply say that planets move on circles but they lacked the math to explain or prove it. Then Newton came up with an idea of inventing calculus so that we could understood and calculated planetary orbits and their accuracy.
Firstly people used their observations and say that the orbits looked like circles, then they developed their models and did the math, and proposed their hypothesizes which were wrong, until Newton came along and tried to match a model that used elliptical orbits and invented the math that allowed him to make predictions with it. His model worked for most planets.
However he could not explain about the planet Mercury for instance since it was a very strange orbit. Then after the Einstein's theory of General Relativity he could also explain very deeply about it.
Scientists and Astronomers made hypothesizes that there was another planet orbiting too close to the sun to see with telescopes, called Vulcan, that explained mercury's orbit before Einstein's theory. Then long after we had telescopes which was good enough to see if there was a planet orbiting closer to the sun than mercury.
Given P(A)=0.64P(A)=0.64, P(B)=0.4P(B)=0.4 and P(A\cap B)=0.356P(A∩B)=0.356, find the value of P(A\cup B)P(A∪B), rounding to the nearest thousandth, if necessary.
Answers
Answer:
Step-by-step explanation:
P(A U B) = P (A) + P (B) - P (A and B)
= 0.64 + 0.4 - 0.356
= 0.684
The value of P(A∪B) is 0.684
What is probability?Probabilities are used to determine the chances of events
The given parameters are:
P(A)=0.64,
P(B)=0.4
P(A∩B)=0.356
To find the value of P(A∪B), we make use of the following formula
P(A∪B) = P(A) + P(B) - P(A∩B)
So, we have:
P(A∪B) = 0.64 + 0.4 - 0.356
Evaluate the expression
P(A∪B) = 0.684
Hence, the value of P(A∪B) is 0.684
Read more about probability at:
https://brainly.com/question/25870256
SOMONE PLEASE HELO ME SCHOOL ENDS NEXT WEEK
Answers
Answer:
sorry dont know 4 or 5 8. 9 but
6. 4 %
7. 60%
Step-by-step explanation:
Rewrite the radical expression using rational exponents and simplify
Answers
Answer:
[tex]a {b}^{3} \sqrt[4]{5} [/tex]
NO WEBSITES/ fake links or your getting reported! Help me with ALL the problems!
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Answer:
5 divided by 8 is 0.625
1 divided by 2 is 0.5
3 divided by 5 is 0.6
7 divided by 4 is 1.75
4 divided by 6 is 0.666666666 or 0.6 with the underline if u print this paper out or 0.666
Step-by-step explanation:
u will have to do the model part but i hope i helped
A triangle has side length measurements of 7 ft., 2 ft., and 5
feet. Can this form a triangle? Explain why or why not.
Answers
Answer:
No
Step-by-step explanation:
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
2 + 5 is only equal to 7
not greater than 7
The price of an ipad went from $450 to $360. What was the percent of decrease?
Answers
Answer:
90
Step-by-step explanation:
450-360 = 90
Simple subtraction.
Look at the picture
Which of the numbers shown in the box below is the
largest?
Answers
Answer:
13/2
Step-by-step explanation:
19/3 = 6.33333...
31/5= 6.2
13/2 = 6.5
25/4 = 6.25
Therefore 13/2 is the answer. Hope this helps!
Help me plsssssss????
Answers
Answer:
CBD is 120 degrees
Step-by-step explanation:
x=30
4x30+30+30=180
Answer: 120°
Step-by-step explanation:
x + 4x + x = 180° (Since the sum of a straight line is 180°)
6x = 180°
x = 30°
To find the angle of 4x, we need to multiply 4 x 30°
120°
Solve the following quadratic by
completing the square.
y = x2 + 10x + 10
Answers
Answer:
x = -5 - √15 or x = -5 + √15Step-by-step explanation:
[tex]y = x^2+10x+10\\\\y=x^2+10x+25-25+10\\\\y=(x+5)^2-15\\\\y=0\quad\iff\quad (x+5)^2-15=0\\\\(x+5)^2=15\\\\x+5=\pm\sqrt{15}\\\\x=-5-\sqrt{15}\quad or\quad x= -5+\sqrt{15}[/tex]
what is (2x + 5) + 3 < 22 ?
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Interval Notation: (-∞, 7)
Please help Instruction are on the top
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Answer:
1. -0.63 is one choice you can do
2. 1/8 is smaller than 1/4
3. 13% is a number that fits in the blank
4. 0.2 (or 1/5 or 20%) can complete it
Step-by-step explanation:
Help me please I don't understand
Answers
Answer:
Q1: E N W G Y U
Q2: R D S Q
Q3: X
Q4: B M F P L
1. N 3. L 5. Q 7. W
2. G 4. B 6. E 8. Y
9. S: (-5,+5) 11. D: (-4,+2) 13. M: (+1,-5) 15 X: (-7,-8)
10. R: (-1,+3) 12. U: (+1,+1) 14. P: (+8,-4) 16. F: (+7,-6)
I can't add the points on the graph tho sorry:(
The woods behind Adam's house were 12 miles wide and 25 miles long. What is the area and perimeter
of the woods?
Answers
Answer: Perimeter = 74
Step-by-step explanation:
Find cos(a) in the triangle.
Choose 1 answer:
21
А. 21/29
B. 20/29
C. 20/21
D. 21/20
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[tex]{\huge{\boxed{\mathcal{\green{ANSWER}}}}} \\ cos( \alpha ) = base \div hypotenuse \\ \\ base \: = \: 21 \\ \\ hypotenuse = 29 \\ \\ cos( \alpha ) = 21 \div 29 \\ \\ {\huge{\boxed{\mathfrak{\red{hope \: it \: helps \: }}}}}[/tex]
HELP FOR BRAINLIST!!!!!!!!!
Answers
Answer:
literally none of these are correct i'm in college and none of these are right. bro talk to your teacher
Step-by-step explanation:
The above equation is equal to 6c x 3. NONE OF YOUR OPTIONS SIMPLIFY TO THAT???
The student who traveled to states visited new states during a vacation. Does increasing the to change the median? If so, how?
Answers
Step-by-step explanation:
The exact question is as follows :
Given - The student who traveled to 3 states visited 6 new states during a vacation.
To find - Does increasing the 3 to 6 change the median? If so, how?
Proof -
Yes,
If we increase the 3 states to 6 states, it changes the median
Because
The median of the first 3 states is the middle state.
For example -
If we have 3 states X, Y, Z
Then the median is the state Y
Now,
The median of 6 states is the average of the 2 middle states.
For example -
If we have 6 states
X, Y, Z, U, V, W
Then
The median is not explicit.
Median is the average of the two middle states, Z and U.
And
Average of Z and U = half of the sum of Z and U.
i.e. (Z + U)/2.
And we can see that,
Median of 3 States is not equal to Median of 6 states
i.e. Y is not equal to (Z + U)/2.
So,
We can say that,
Increasing the state 3 to 6 changes the median.
A television originally cost
$
2660
. It goes on sale at
10
%
off the original price.
How much do you save when you buy the television now?
Saving = $
What does the television cost now?
Cost now = $
Submit Answer
Answers
Answer:
You save $266. The television costs $2394.
Step-by-step explanation:
10% off the original price is $266. The television is 10% off, meaning the new price is 90% of the original price. Therefore, you can subtract $2660 - $266 or multiply 90% × $2660.
What is the first term of the quotient of the following division problem?
(х – 1) = (х + 2)
Answers
Answer:
I think the answer is C. x^2
does any one know 1/2x−7=1/3(x−12)
Answers
Answer:
18
Step-by-step explanation:
I did the math and that should be the answer!!
If f(x) = x 2 + 1 and g(x) = 3x + 1, find f(2) + g(3).
Answers
g(3) = 3(3) + 1
-
(2)² + 1 + 3(3) + 1
simplify
-
f(2) + g(3) = 15
Let f(x) = - x ^ 3 - (4x - 1) Find f(- 5)
Answers
Answer:
146
Step-by-step explanation:
replace every x with -5
create an expression that when combined equals 5x+2y
(must be at least 3 terms)
Answers
I need it fast please
Answers
how to evaluate 5a + 3 ?
Answers
Answer:
15a
Step-by-step explanation:
Multiply
3
by
5
=
15
a
here is the next one. sorry
Answers
Answer:
$5.30
Step-by-step explanation:
23.85/9=$2.65
2.65*2=$5.30
Answer:
I don't know if this is right but I got $5.30.
Step-by-step explanation:
I did 23.85/9 to get how much each pane is than I multiplied by 2 to get the cost of the 2 new panes.
23.85/9= 2.65
2.65*2 = 5.3
A park charges $45 to enter and $0.75 per game. Write an algebraic expression to represent the total amount paid by a guest.
Answers
Answer:
y = 0.75x + 45
Step-by-step explanation:
x would be the amount of games played and y would be the total money spent.
Answer:
y= 0.75x+45
Step-by-step explanation:
y= total amount paid by guest
x = # of games
0.75 x = $0.75 paid per game
45= minimum charge of 45 to enter park
Find the slope of the line.
-4,1
1,-2
Answers
Peter invested $1860 for 10 months at a rate of 3.8%. How much interest did he earn?
Answers
Peter invested $1860 for 10 months at a rate of 3.8%. How much interest did he earn?????
He would end up with 18,600
Answer: he earned 10 percent intrest.
A water park keeps track of the number of times each visitor goes down water slides during their visit . The data shows the number of times 12 visitors went down a water slide.
4, 22, 16, 10, 11, 20, 20, 12, 6, 3, 11, 1
Create a histogram of this data.
To create a histogram, hover over each age range on the x-axis. Then click and drag up to plot the data.
Answers
Answer:
Refer to image
Step-by-step explanation:
When creating a histogram it is best to create a range for the different variables that are available.
So for the sake of covering all the possible ranges from 1 - 22, let's divide it into 5 categories.
0 - 5
6 - 10
11 - 15
16 - 20
21 - 25
Now that we have set ranges for the different variables, we then find the frequencies.
0 - 5 : 3
6 - 10 : 2
11 - 15 : 3
16 - 20 : 1
21 - 25 : 3
Now that we have all the values we can then create our histogram
/