Solve: (x + 1)(x ^ 2 - 5x + 10) - 12 = 0
[tex]~~~~~(x+1)(x^2 -5x +10) -12= 0\\\\\implies x^3 -5x^2 +10x +x^2 -5x +10 -12 =0\\\\\implies x^3 -4x^2 +5x -2 =0\\\\\implies x^3 -2x^2-2x^2+4x+x-2=0\\\\\implies x^2(x-2)-2x(x-2)+(x-2)=0\\\\\implies (x-2)(x^2 -2x +1)=0\\\\\implies (x-2)(x-1)^2 = 0\\\\\implies x =2 , ~~ x = 1[/tex]
A waiter earns $128 for 6 hours
of work. The total included $86 in
tips. How much does the waiter
earn each hour?
with an equation
Answer:
$21.33
Step-by-step explanation:
If the waiter earns $128 for 6 hours, divide 128 by 6.
21.33...
What is the simplest form of (5x+2)(5x-2)
Answer:
Step-by-step explanation:
Find the error in the solution. Identify the solution, and then solve the problem correctly.
In ΔKLM, m
Use the Law of Cosines to find the length of LM to the nearest tenth.
LM² = 23² - 20² - 2 (23) (20) cos 119°
LM² = 529 - 400 - 920 cos 119°
LM²≈575.02
LM²≈24.0
Eroor: LM² = 23² - 20² - 2(23)(20) cos 119°
Should be LM² = 23² + 20² - 2(23)(20) cos 119°
Lm² = 575.02 is incorrect
LM² = 1375.016 is correct
LM = 24.0 is incorrect
LM = 37 - 1 is correct
Answer: LM = 37 - 1
Step-by-Step Explanation:[tex]In\ \bigtriangleup KLM[/tex]
[tex]By\ using\ cosine\ gule:[/tex]
[tex]LM^2=LK^2+Km^2-2LK\times Km[/tex]
[tex]\times cos(119\textdegree[/tex]
[tex]LM^2=23^2+20^2-2\times 23\times 20\times -0.4848[/tex]
[tex]LM^2=529+400+920\times 0.4848[/tex]
[tex]LM^2=929+446+016=1375.016[/tex]
[tex]LM=\sqrt{1375.016}=37.0812=37.1[/tex]
[tex]Error:LM^2=23^2-20^2-2(23)(20)cos\ 119\textdegree[/tex]
[tex]Sholeld\ be\ 2M^2=23^2+20^2-2(23)(20)\ cos\ 119\textdegree[/tex]
[tex]Lm^2=575.02\ is\ incosrect[/tex]
[tex]LM^2=1375.016\ is\ correct[/tex]
[tex]LM=24.0\ is\ correct[/tex]
[tex]Lm=37-1\ is\ correct[/tex]
[tex]Answer:LM=37-1[/tex]
I hope this helps you
:)
When paying for higher education, scholarships and grants can be considered _____.
a)liquid assets
b)free money
c)easy money
d)sound investments
Answer:Liquid assets
Step-by-step explanation: Can be valued as cash
When paying for higher education, scholarships and grants can be considered liquid assets. Hence, option A is correct.
What is liquid assets?Liquid assets are assets that can be quickly converted into cash. Although while your assets are valuable possessions that may be traded for cash, not all of them can be sold immediately away for cash or without suffering a loss. A common liquid asset is cash.
Liquid assets include cash on hand, cash stored in a bank, and possessions that can be quickly and readily converted into cash. Common liquid assets include shares, bonds, certificates of deposit, and stocks.
No, an automobile is not considered to be a liquid asset. A car is regarded as a tangible asset that depreciates over time, is more difficult to sell, and is more subject to market swings. It is also challenging to make a quick turn.
Thus, option A is correct.
For more information about liquid assets, click here:
https://brainly.com/question/29760652
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Can somebody help me?
(2, 9) is the solution of the system of equations.
y = x + 7
y = 2x + 5
true or false
Answer:
True! Since if you replace x and y with 2 and 9, you will get 9 = 2 + 7 or 9 = 2 x 2 + 5 which makes the equation true.
Answer:
Yes it's TRUE that ( 2 , 9 ) is the solution of given equations .Step-by-step explanation:
In the question it is given that whether ( 2 , 9 ) is solution of system of equations that are y = x + 7 and y = 2x + 5 .
And we have to tell that it is true or false.
Solution : -
As in the question we're provided with ( 2 , 9 ) . So , Here :
Value of x is 2Value of y is 9( 1 )
[tex] \longmapsto \qquad \:y = x + 7[/tex]
Substituting value of x and y in equation :
[tex] \longmapsto \qquad \: 9 = 2 + 7[/tex]
[tex] \longmapsto \qquad \: \boxed{\bf{9 = 9}}[/tex]
As we see that left side is equal to right side .
Therefore ( 2 , 9 ) is the solution of y = x + 7 .( 2 )
[tex] \longmapsto \qquad \: y = 2x + 5[/tex]
Substituting value of x and y in equation :
[tex] \longmapsto \qquad \: 9 = 2(2) + 5[/tex]
[tex] \longmapsto \qquad \: 9 = 4 + 5[/tex]
[tex] \longmapsto \qquad \: \boxed{ \bf{9 = 9}}[/tex]
As we see that left side is equal to right side .
Therefore ( 2 , 9 ) is the solution of y = 2(x) + 5 .#Keep LearningA bag contains 6 blue marbles, 2 red
marbles, 4 yellow marbles, and 8 green
marbles. What is the probability of drawing
a red marble at random from the bag?
Which system of equations is represented by the graph?
one parabola opening upwards and one parabola opening downwards intersecting at points (2, 12) and (-2, 12)
y = x2 + 4x
y = –x2 + x + 12
y = x2 – 8
y = –x2 +16
y = x2 + 8
y = –x2 + 16
y = x2
y = –x2 – x –16
Answer:
See belowStep-by-step explanation:
Find the value of y when x = 2 or x = -2 to determine the system
It is easy to calculate and confirm the correct equations
y = –x² + 16y = x² + 8See the attached to verify the answer
Check option C
y=-x²+16Put (2,12)
12=-(2)²+16=-4+16=12And
y=x²+8Put(-2,12)
12=(-2)²+8=4+8=12Hence verified
Option C is correct
Help and show work please!!
Answer:
Between 9 and 10
Step-by-step explanation:
I just multiplied 2/3 by 14
Does that help?
Answer:
C
Step-by-step explanation:
first do 14/1 times 2/3
it will be 28/3, then divide that
it should be 9.3 repeating
which is in the range of 9 and 10
If Mary paid $20.44 for 7.3 pounds of strawberries, what was the price of 1
pound of strawberries?
Answer:
$2.31
Step-by-step explanation:
A person's paycheck varies directly as the number of hours worked. Bill received $75 for 15 hours. How much would he receive for working 32 hours?
Answer:
$160
Step-by-step explanation:
75/15=5 which means he makes $5 per hour
5*32=160
Find the value of k for which the equation x2+k(2x+k-1)+2=0 has no real roots.
Please answer it properly. Thank you.
Answer:
Please find the answer attached :)
Kim was 11 years old seven years ago.
How old is she now? Write the equation
and solve.
Answer:
She would be 18 years old.
Step-by-step explanation:
Since she was 11 years old 7 years ago, the equation would be:
11+7=18
Answer:
The answer is 18
Step-by-step explanation:
11+7=18
If kim was 11 years old 7 years ago then you add the years it has been ago and then you get your answer 18
Please consider Brainliest for my answer is correct
Who Is The Father Of Math?
Answer:
The father is Archimedes
Brainliest!!
Archimedes is the father of math. :)
I NEED HELP PLEASE!!!!!
What's the answer to the question below?
A penny weighs 2.5 grams while a dime weighs about 2.27 grams. How much do a penny and two dimes weigh?
Answer:
[tex]\huge\boxed{\sf 7.04\ grams}[/tex]
Step-by-step explanation:
A penny = 2.5 grams
A dime = 2.27 grams
2 dimes = 2.27 × 2 grams
= 4.45 grams
Weight of a penny and 2 times:
= 2.5 + 4.54
= 7.04 grams
[tex]\rule[225]{225}{2}[/tex]
Find the product of (x − 3)^2.
x^2 + 6x + 9
x^2 − 6x + 9
x^2 + 9
x^2 − 9
Part F About what is the average change in distance for each increase of 1 in the iron number ? What does this mean in terms of the situation?
Part D
What is the y-intercept of the correct graph? What is the y-intercept of the incorrect graph? Are the y-intercepts the same?
The average change in distance for each increase of 1 in the iron number is -10, and the y-intercept of the graphs are not the same
The average change in distance?From the graph, we have the following points:
(x,y) = (4, 145) and (3,155)
The average change in distance is calculated using:
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{155 - 145}{3 - 4}[/tex]
Evaluate
m = -10
Hence, the average change in distance for each increase of 1 in the iron number is -10
What the average rate in (a) represents?The rate, -10 in (a) means that:
The distance decreases by 10 yards for each number of iron
The y-interceptThe y-intercept is the point where the graph crosses the y-axis
From the attached graphs, we have:
The correct graph has a y-intercept of 185The incorrect graph has a higher y-intercept (195)Hence, the y-intercept of the graphs are not the same
Read more about linear regression at:
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Banana chips sell for 44¢ per 100 g.
How much would 450 g of banana chips cost?
Answer:
198 cents or
1.98 dollars
Step-by-step explanation:
the car ride from kileys house to the airport
Answer:
this question provides no content for me to answer but i want the points and i will be taking them Thankyou!
Step-by-step explanation:
here is the same sentence translated in spanish
el viaje en coche desde la casa de kileys hasta el aeropuerto
How many times larger than 2x10^3 is 6x10^6?
Answer: 5,998,000
Step-by-step explanation:
2x10^3= 2,000
6x10^6= 6,000,000
In translation, Use 1 x The Initial SIG FIGS, or first numbers. 10x10 is 100, and notice how 10 and 10 have 2 zeros, so 1x1 = 1 +00 is a way to construct the number.
In this case, the 10^x, the x can represent the number of zeros after our first value.
So, 6 + six zeros, or 6,000,000
and, 2 + 3 zeros, or 2,000
To find the difference, subtract the numbers from eachother and extract the absolute value, (meaning the final answer won't be negative).
So, 6,000,000 - 2,000 = 5,998,000, which is the answer to the prompt!
Hope this Helped!
PLEASE ANSWER - BRAINLIEST IF 2 ANSWERS - 5 STAR RATING - THANKS (PROFILE TOO)
The formula for the volume of a cylinder is
V = πr2
h, where r is the radius and h is the height.
A cylinder has a radius of 3 cm and a height
of 10 cm.
Which of the following is closest to the volume
of the cylinder?
a. 188 cm3
b. 283 cm3
c. 888 cm3
d. 8882 cm3
Answer:
b. 283 cm3
Step-by-step explanation:
V = pi * r^2 * h
V = 3.14 * 3^2 * 10
V = 282.6 rounded to 283cm3
(NO BOTS) NO TROLLS) help me with this answer!
(WILL BE REPORTED)
Answer:
2nd one
Step-by-step explanation:
Answer:
[tex]\frac{35}{7} =\frac{70}{14} =\frac{105}{21} =\frac{140}{28} =\frac{5}{1}[/tex]
Step-by-step explanation:
The unit rate is x:1, like 60 miles to 1 hour, or 60/1. To find the answer, put the number of textbooks over the number of students and then simplify the fractions- you will see that they all boil down to 5/1, or 5 textbooks per 1 student.
Can someone help me with this, please?
Answer:
P(pink) = 0.225
Step-by-step explanation:
We should ignore the spinner picture because it is a trick!
We need to use the data provided in the table
We need to find the probabilty of getting pink out of all the colors:
[tex]\frac{pink}{purple\ +\ pink\ +\ yellow\ +\ blue} = \frac{9}{12\ +\ 6\ +\ 9\ +\ 13}\\ = \frac{9}{40} = 0.225\ \ (22.5\%)[/tex]
We use the probability notation:
P(pink) = 0.225
Does anybody know this?
Answer:
here you go , all four completed, took me some time , hipe i was able to help you out tho
Write an equation in slope-intercept form for the line that is parallel to y=x−6 and that passes through the point (−5,−6).
Answer:
Equation: y = x - 1
a slope of 1, and a y-intercept of -1Step-by-step explanation:
Given: y = x - 6
Slope-Intercept Form: y = mx + b -
where:
m is the slopeb is the y-intercept (when x = 0)Note: parallel lines have the same slope
1. Determine the slope and y-intercept of the given equation:
⇒ y = x - 6 has a slope of 1, and a y-intercept of -6
2. Find the equation of the line parallel line that passes through the point (-5,-6):
⇒ y = x + b [substitute -5 for x and -6 for y]
⇒ -6 = -5 + b [add 5 to both sides]
⇒ -6 + 5 = -5 + 5 + b
⇒ -1 = b
Equation: y = x - 1
3. Check your answer using point (-5, -6):
⇒ y = x - 1
⇒ -6 = -5 - 1
⇒ -6 = -6 ✔
This statement is correct
Therefore, the equation of the line is y = x - 1
phineas has more jolly ranchers than alan. if alan has 10 jolly ranchers how many do they have in total
Answer:
We cannot know.
Step-by-step explanation:
It only mentions that Phineas has more jolly ranchers than Alan. Since Alan has 10 jolly ranchers, the number of jolly ranchers Phineas could have is 11, 12, 13, 14... and so on. Phineas could have 1 billion jolly ranchers.
Well my question says Mona 28.086 seconds. Ashley 27.23 Seconds what's the difference of times second
Answer:
0.856 seconds
Step-by-step explanation:
just subtract mona's time from ashley's
please help. will mark brainliest
Step-by-step explanation:
since it is a straight line .
angle 4+ angle 5 = 180
40+ angle 5 = 180
angle 5 = 140
Answer:
A. 140
Step-by-step explanation:
well, one way to look at it is that ∠4 + ∠5 = 180
we are GIVEN the info that ∠4 = 40
therefore 180 - 40 - ∠5
180 - 40 = 140
there are five number cards. 1 4 6 8 9 One of the cards is removed and the mean average of the remaining four number cards is 6 Which card was removed? You must show your working.
Answer:
The card removed was number '4'.
Step-by-step explanation:
9+8= 17
17+6= 23
23+1=24
You then must divide 24 by 4:
24/4 = 6
Therefore the card removed must have been 4.
I hope that helped and I hope it is correct lol.
In julie's class there are 18 girls and only 6 boys. What percent of the class are boys?
Answer:
25%
Step-by-step explanation:
18+6=24
[tex] \frac{6}{24} [/tex]
6÷24=0.25
0.25×100=25%