Answer:
[tex]x=2\\x=-\frac{1}{2}[/tex]
Step-by-step explanation:
1) Move terms to the left side.
[tex]3x=2x^{2} -2\\3x-(2x^{2}-2)=0[/tex]
2) Distribute.
[tex]3x-(2x^{2} -2)=0\\3x-2x^{2} +2=0[/tex]
3) Rearrange terms.
[tex]3x-2x^{2} +2=0\\-2x^{2} +3x+2=0[/tex]
4) Common factor.
[tex]-2x^{2} +3x+2=0\\-(2x^{2} -3x-2)=0[/tex]
5) Divide both sides of the equation by the same term.
[tex]-(2x^{2} -3x-2)=0\\2x^{2} -3x-2=0[/tex]
6) Use the quadratic formula.
[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
[tex]2x^{2} -3x-2=0\\a=2\\b=-3\\c=-2[/tex]
[tex]x=\frac{-(-3)+\sqrt{(-3)^{2} -4*2(-2)} }{2*2}[/tex]
7) Simplify.
Evaluate the exponent
[tex]x=\frac{3+\sqrt{(-3)^{2}-4*2(-2) } }{2*2}[/tex]
[tex]x=\frac{3+\sqrt{9-4*2(-2)} }{2*2}[/tex]
Multiply the numbers
[tex]x=\frac{3+\sqrt{9-4*2(-2)} }{2*2}[/tex]
[tex]x=\frac{3+\sqrt{9+16} }{2*2}[/tex]
Add the numbers
[tex]x=\frac{3+\sqrt{9+16} }{2*2}[/tex]
[tex]x=\frac{3+\sqrt{25} }{2*2}[/tex]
Evaluate the square root
[tex]x=\frac{3+\sqrt{25} }{2*2} \\x=\frac{3+5}{2*2}[/tex]
Multiply the numbers
[tex]x=\frac{3+5}{2*2}[/tex]
[tex]x=\frac{3+5}{4}[/tex]
8) Seperate the equations.
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
[tex]x=\frac{3+5}{4}[/tex]
[tex]x=\frac{3-5}{4}[/tex]
9) Solve.
Rearrange and isolate the variable to find each solution.
[tex]x=2\\x=-\frac{1}{2}[/tex]
Solve four ninths minus four tenths equals blank.
Answer:
2/45
Step-by-step explanation:
Find the equation of the line passing through the point (-1,0) and parallel to the line
y=-1/2x+3/7
A) y= 2x + 2
B) y = -1/2-1/2
C) y = 1/2x+1/2
D) y = - 1/2x+1/2
Answer:
B) y= -½x -½
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the slope and c is the y-intercept.
[tex]y = - \frac{1}{2} x + \frac{3}{7} [/tex]
Slope of given line= -½
Since parallel lines have the same slope, slope of unknown line= -½.
y= -½x +c
To find the value of c, substitute a pair of coordinates into the equation.
When x= -1, y= 0,
[tex]0 = - \frac{1}{2} ( - 1) + c[/tex]
[tex]0 = \frac{1}{2} + c[/tex]
[tex]c = - \frac{1}{2} [/tex]
Thus, the equation of the line is y= -½x -½.
Bret buys a dining table that costs $150 before tax. The sales tax is 8%. How much sales tax did he pay?
Answer:
$12
Step-by-step explanation:
to find sales tax you multiply the cost by the percentage
you do 150 * 8%
thats also 150 * 0.08
150 * 0.08 is 12
so you pay $12 in tax
Bret paid $12 as sales tax.
What is a expression? What is a mathematical equation? What is Equation Modelling? What is denominator?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In a fraction say (x/y), [y] is called denominator.
We have Bret buys a dining table that costs $150 before tax. The sales tax is 8%.
Assume that he paid $[x] as sales tax. Then, we can write -
[x] = 8% of 150
[x] = (8/100) x 150
[x] = 12
Therefore, Bret paid $12 as sales tax.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
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25)
Find the measure of each lettered angle.
The diagram is not drawn to scale.
Answer:
The Diagram is not showing
Step-by-step explanation:
7x – 5 – 3x = 7 – 6x solve for x
Step-by-step explanation:
7x - 3x=5 + 7
we will plus --
10x =12
x=12÷10 or 10 /12
x=12.2
Which is an equation of the line through the origin and (-5,6)?
A. y=-5/6x
B. y=-6x
C. y=-5x
D. y=- 6/5x
Answer:
y=-6/5x
Step-by-step explanation:
There are visitors at home. Michelle made 10 and 3/5 cups of tea while Leslie made 9 and 2/5 cups of tea. How many cups of tea did the two sisters make for the visitors? *
Answer:
20 cups
Step-by-step explanation:
Michelle: 10 3/5 cups made
Leslie: 9 2/5 cups made
Steps:
First, let's turn each number into decimal form.
10 3/5 = 10.6
9 2/5 = 9.4
Then, add
9.4 + 10.6 = 20
Conclusion
They made 20 cups in all
Note:
Hope this helped :)
Have a nice day
Reply with any questions or concerns please :D
34.2 is what percent of 288? Round to the nearest hundredth.
Answer:
11.87%
Step-by-step explanation:
34.2/288=0.11875
Which is about 0.1187
So 11.87%
Answer:
11.87
Step-by-step explanation:
mental math and just big brain
Mr.Keaton planted 918 cornstalks there are 9 cornstalks in each row how many rows of corn did he plant
Answer:
I think 102 rows of corn
Step-by-step explanation:
918 ÷ 9 = 102
a coin is tossed 4 times. what is the probability of getting heads each time
answer: 1/16
If you flip a coin 4 times, the probability of getting all heads is 1/16.
if f(x)=2x^2-1, then f(-3)=
Answer:
f(-3) =17
Step-by-step explanation:
f(x)=2x^2-1
Let x = -3
f(-3)=2(-3)^2-1
= 2(9) -1
= 18-1
17
which graph appears to show a proportional relationship between x and y
Answer:
What graph?
Step-by-step explanation:
No wonder why you have been waiting 25+ mins to get an answer
What is the range of the function y = x^2?
Ox>0
O all real numbers
Oy>0
Answer:
The range is y≥0
Step-by-step explanation:
The shape of this graph is a parabola
You may see this by using the Desmos calculator and typing y=x^2 if you would like to visualize.
(a) The function y = x^2 simply takes whatever number you feed it (x) and outputs x squared.
For example
y = (2)^2=4
y = (3)^2 = 9
(b) To graph x^2 simply make a table of values and plug in 0 -> however high you would like to go ( usually to 5 or so is fine but you could go to infinity).
Example
y = x^2
Y | X
________
2 | 4
3 | 9
4 | 16
In this case the function's range is y≥0 because all y values will be greater than or equal to 0.
If you are wanting to learn how to specifically graph this you can look up (Graphing y = x²) if my quick graphing explanation back at mark (b) does not help.
3(2/3p+3-1/3p-5) What is the simplified version of this equation.
Answer: p+1
Step-by-step explanation:
3(2/3p+3-1/3p)
=3(1/3p+3)
=p+1
Plzzzzz help meeeee plzzzz I really d answa
Answer:
c. is correct answer I think
Taylor left to walk the dog at
4:25. She got back at 5:00. How
long was the dog's walk?
Answer:
Taylor walked 35 minutes
Step-by-step explanation:
4:25
+:35
=5:00.
once a clock hits 60 it's automatically turned to the next hour so since 25 + 35 = 50 it's automatically turned to 5:00
ANSWER FAST PLZ I REALLY NEED HELP :(
Mr. Wiley averages 12 mph when his boat is in still water. One day he goes 12 miles upstream and the same distance back. The round-trip takes two hours and 15 minutes. What is the speed of the current on that day?
Answer:
4 mph
Step-by-step explanation:
The current subtracts from the boat speed going upstream, and add going downstream. The relation between speed, distance, and time is ...
time = distance/speed
2 1/4 = 12/(12 -c) + 12/(12 +c) . . . . . round trip time is the sum of the trip times
9/4(12 +c)(12 -c) = 12(12 +c) +12(12 -c) . . . . multiply by (12 +c)(12 -c)
144 -c^2 = 128 . . . . . . multiply by 4/9 and simplify
16 = c^2 . . . . . . . . . add c^2 -128
c = 4 . . . . . . . . . positive square root
The current was 4 mph that day.
Mark deposited $750 in a savings account earning 3% interest over 9 years. What was the total interest earned after 9 years?
Answer: The final balance is $982.47.
The total compound interest is $232.47.
Step-by-step explanation:
Hehhhhhhhhhhhhhheh eh
find the value of 777^2 - 223^2
Answer:
549440
Step-by-step explanation:
777^2 = 603729
223^2 = 54289
603729 - 54289 = 549440
To get home, Renae can take one of four buses: #41. #28. #55, or #81. Once she is on a bus, she will randomly select one of the
following equally likely activities: listening to her music player, writing a letter, or reading a book. Her choice of bus and choice of entertainment are independen
events, because the bus that Renae took did not affect which activity she chose. For example, what is the probability that Renae writes a letter if she takes the
#41 bus? What is the probability that Renae writes a letter if she takes the #55 bus?
The probability that Renae writes a letter if she takes the #55 bus is 1/12
The buses are given as:
Buses: #41, #28, #55, #81
There are 4 buses of equal probabilities.
So, the probability that she takes the #55 is:
[tex]P(55)= \frac 14[/tex]
The activities are given as:
Activities: listening to her music player, writing a letter, or reading a book
There are 3 activities of equal probabilities.
So, the probability that she writes a letter is:
[tex]P(Letter)= \frac 13[/tex]
The probability that she does both independent events is:
[tex]Pr = P(55) \times P(Letter)[/tex]
So, we have:
[tex]Pr = \frac 14 \times \frac 13[/tex]
[tex]Pr = \frac 1{12}[/tex]
Hence, the probability is 1/12
Read more about probabilities at:
https://brainly.com/question/251701
Determine whether each equation represents a proportional relationship.
Y=2.5x
y= x - 4
Answer:
y=2.5x - Proportional
y= x - 4 - Not Proportional
Step-by-step explanation:
A linear function that is proportional is in the form y =kx (k is the constant of variation) and passes the origin.
The first equation given is in this form (2.5 is the constant) and it passes through the origin. It is proportional.
However, the second one is not proportional is it does not pass the orgin and it's not in y=kx form.
Hope this helps.
Solve (u+2)^2+6=69 , where u is a real number.
Answer:
5.94 and -9.94
Explanation:
Use complete the square to answer the question and then type the last line into a calculator to get 5.94 and -9.94
Ernie played 35 soccer games this season. He won 28 games. Enter the
percentage of games Ernie won.
Answer:
I think it;s 9.8
Step-by-step explanation:
You divide 35 and 28 i think
URGENT
Evaluate the expression below for the given value
X^2+ 2x for x = -3
Answer:
-3×2+2×-3
-6+-6
-12
I think^=×
Answer: 3
Step-by-step explanation:
X^2+ 2x for x = -3
(-3)^2+ 2(-3)
(-3)(-3) -6
+9 -6
3
Which sentence is correct?
A. -4 > 3
B. -4< -6
C. -4 > -7
D. -5 > -4
Answer:
C. -4 > -7
Step-by-step explanation:
answer= option C
Burt ran the length of the trail in his town’s park. There are 9 parts to the trail, and each part is the same length. Burt ran a total of 1.8 kilometers.
What is the length of each part of the trail?
Answer:
.2 kilometers
Step-by-step explanation:
Since there are 9 parts to the trail and the total is 1.8 kilometers, just divide the total by how many parts. 1.8 divided by 9 is .2 so the length of each part of the trail is .2 kilometers
1. Name a midsegment in the triangle.
Answer:
EF
Step-by-step explanation:
Hope this helps!
Help me please please
Answer:
a.11
b.20
c.44
d.5
e.60
f.12
g.4
h.40
i.900
j.6
Step-by-step explanation:
hope this helps
check attachment for question
Answer:
[tex]\displaystyle 3x^2 + x[/tex]
Explanation:
All you are doing is combining like-terms:
[tex]\displaystyle \boxed{3x^2 + x} \Rightarrow [5x + x^2 - 1] + [2x^2 - 4x + 1][/tex]
I am joyous to assist you at any time.