Percy solved the equation by expanding the expression on the left-hand side, and this is incorrect
How to determine the true solution?The equation is given as:
x^2 + 7x + 12 = 12
The first step in solving the equation is to equate the equation to 0.
i.e.
x^2 + 7x + 12 - 12 = 0
This given
x^2 + 7x = 0
From the question, Percy solved the equation by expanding the expression on the left-hand side
Hence, Percy's solution is incorrect
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Answer:
Percy is not correct because he applied the zero product property to a factored expression that was not equal to 0. He should have subtracted 12 from both sides to get x2 + 7x = 0 before factoring. The correct solutions are 0 and -7.
8 is the GCF of what two numbers?
Answer:
16 and 24
Step-by-step explanation:
The largest factor for both numbers have in common is 8, so GCF(16,24) = 8
describe the end behavior of f(x)=2x^3
Answer:
as x→+∞, f(x)→+∞ as x→-∞,f(x)→-∞
Step-by-step explanation:
can you guys help me with this
why this thing says im rude
Solve for x. 8x-6=10x-8
Answer:
x=1
Step-by-step explanation:Let's solve your equation step-by-step.8x−6=10x−8Step 1: Subtract 10x from both sides.8x−6−10x=10x−8−10x−2x−6=−8Step 2: Add 6 to both sides.−2x−6+6=−8+6−2x=−2Step 3: Divide both sides by -2.−2x−2=−2−2 x=1
What's the square root of Pi times the c length of a right triangle with the a measurement of 12 and the b measurement of 10?
Answer:
[tex]2\sqrt{61\pi }[/tex]
Step-by-step explanation:
Let's find c by using the Pythagorean Theorem: [tex]10^2 + 12^2 = c^2[/tex] so [tex]c = \sqrt{10^2 + 12^2}[/tex]. I'm going to leave c like this so it is easier to multiply by [tex]\sqrt{\pi }[/tex]. [tex]c\sqrt{\pi } = \sqrt{10^2 + 12^2}\sqrt{\pi } = 2\sqrt{61\pi }.[/tex]
Hope this helped! :)
can someone help me?
2x-3y= -1
y=x-1
Pls find equation of parabola
Answer:
y = - 3x² + 6x + 9
Step-by-step explanation:
given the zeros of a parabola x = a , x = b , then the factors are
(x - a) , (x - b)
here the zeros are x = - 1 and x = 3 , then
factors are (x + 1) and (x - 3)
the equation of the parabola is then the product of the factors, that is
y = a(x + 1)(x - 3) ← a is a multiplier
to find a substitute the point (0, 9 ) into the equation
9 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )
- 3 = a
then equation is
y = - 3(x + 1)(x - 3) ← expand factors using FOIL
= - 3(x² - 2x - 3) ← distribute parenthesis by - 3
y = - 3x² + 6x + 9
i need help with geometry please!
question is in the image above~
the answer is either;
a) 25
b)20
c)18
d)15
Answer:
The answer is 15
Step-by-step explanation:
You just have to multiply angle BC times angle AC to have the answer because angle AB is verticle to angle BD.
A pole 3.8 m high casts a shadow that measures 1.3 m. A nearby tree casts a shadow 7.8 m long. Find the height of the tree.
Answer:
22.8 m
Step-by-step explanation:
the 2 situations are similar triangles
the ratio of corresponding sides are in proportion
let h be the height of the tree , then
[tex]\frac{h}{3.8}[/tex] = [tex]\frac{7.8}{1.3}[/tex] ( cross- multiply )
1.3h = 29.64 ( divide both sides by 1.3 )
h = 22.8 m
Which is the apparent solution set of the system of equations graphed on the grid? a. {(0,0), (3,0)} b. {(0,-2), (1,0)} c. {(0,0), (1.5,2.25)} d. {(-1,-4), (2,2)}
The apparent solution set of the system of equations graphed on the grid is {(-1,-4), (2,2)}
How to determine the solution?The point of intersection of the curves or lines on a graph is the solution of the system of equations
From the complete question, the lines intersect at approximately
(-1,-4) and (2,2)
Hence, the apparent solution set on the grid is {(-1,-4), (2,2)}
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Answer:
D.
{(-1,-4), (2,2)}
Step-by-step explanation:
This should be the answer for Plato/Edmentum users. (Note: not all answers are in the same position. It might be d for me but the answer might be put under any other letter)
The local grocery store is being remodeled. The width of the floor is 84 feet and the length of the floor is 71 feet. What is the perimeter of the floor?
Answer:
the perimeter is the width added to the length
3. Mohan drives a car at a uniform speed of 60
km/hr, find how much distance is covered in 90
minutes?
Answer:
90
Step-by-step explanation:
60 kmhr for an hour and a half
i hour 60 km
half hour 30 km
60 + 30 =90
Question:
9x - 2 = 4x + 9
Answer:
Step-by-step explanation:
9x-2=4x+9
1. 9x-4x-2=4x-4x+9 always isolate a variable which means move 4x to the other side to get 9 by its self.
2. 5x-2+2=9+2
3. 5x=11
4. 5x/5=11/5 get x by itself.
5. x=2.2
check work.
9(2.2)-2=4(2.2)+9
17.8=17.8
Korey is planning to open a comic book store. when the store opens, he plans to be the only employee. as the business grows, he will extend his hours of operations and hire additional employees as necessary. in korey’s business plan, this information should be included in the _____ component. a. financial analysis b. organizational plan c. executive summary d. implementation plan please select the best answer from the choices provided a b c d
The information about the how to open a comic book store should be included in the b. organizational plan.
What is organizational plan?An organizational plan serves as a way that can be used to plan for the future events to achieve the desire goals of the institution.
Therefore, option B is correct, because with the organizational plan, Korey can note all information required for the business and how the business will grow.
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When a figure appears to have depth as you look at it, it is called _____________.
A. perspective
B. solid
C. length
D. net
Answer:
the answer would b B solid
Step-by-step explanation:
because the figure appears to have depth as you look at it so it is solid.
What is the slope of the line passing through (5, 5) and (-4, 5)?
somebody please help me
Answer:
1/18
Step-by-step explanation:
I have provided a tree diagram showing all the possibilities
Answer:
[tex]P=\frac{2}{9}=0.222\\[/tex] for green ball
[tex]P=\frac{2}{8} =0.25[/tex] for red ball
Step-by-step explanation:
For green ball probability will be,
[tex]P=\frac{2}{9}=0.222\\[/tex]
while for the red ball, it will be,
[tex]P=\frac{2}{8} =0.25[/tex]
3. Find m2ABC.
(2x+14)
(x+7)°
Answer:
Step-by-step explanation:
What is the average speed of a turtle that moved 50 inches in 5 minutes? (speed = distance ÷ time)
A.
55 inches per minute
B.
10 inches per minute
C.
0.1 inches per minute
D.
250 inches per minute
Answer: It would be B 10 inches per minute
Step-by-step explanation: Because if it is (Speed=distance/time) that would mean you would divide 50 into 5 which would be 10 50/5 5x10=50
what are the solutions to 3x^2+13x=10?
Answer:
Step-by-step explanation:
i hope these help
i cannot understand this AT ALL (would be glad to have an explanation)
hmmm well, don't be so hmmm off due to it, the wording in the exercise sux0rs bad, is very poorly worded and laid out.
if X and Y are numbers, hmmm say let's give them hmmm ohhh X = 7 and Y = 13.
And X and Y are also complete cubes, well, let's make them so, X = 7³ and Y = 13³.
which of those expressions are complete cubes, or namely, something that we can write as a number with a "3" in the exponent, let's check each one.
[tex]\begin{array}{ll|l|l|lllll} 8X&\implies 8\cdot 7^3& 2^3\cdot 7^3& (2\cdot 7)^3& 14^3 ~~ \checkmark\\&&&&\\ X,Y&\implies 7^3,13^3 ~~ \checkmark&&\\&&&&\\ -X&\implies -7^3~~ \checkmark&&\\&&&&\\ 27XY&\implies 27\cdot 7^3\cdot 13^3& 3^3\cdot 7^3\cdot 13^3& (3\cdot 7\cdot 13)^3& 273^3~~ \checkmark\\&&&&\\ XY+27&\implies 7^3\cdot 13^3+27&(7\cdot 13)^3 + 3^3&&91^3+3^3 ~~ \bigotimes \end{array}[/tex]
what's wrong with the last one? well, if we were to add 91³ + 3³ = 753598. Now, is 753598 a complete cube? well, only if we could write it as a whole number with a "3" above, can we? nope.
we can simply check that by getting the 3rd root of that value,
[tex]\sqrt[3]{753598}\approx 91.00108681228277\impliedby \textit{not a complete cube}[/tex]
A square has an area of 81 square inches. What is its perimeter?
Area of square = [tex]s^2[/tex] where, [tex]s[/tex] is the side length of the square.
[tex]81=s^2[/tex]
[tex]9=s[/tex]
s must be positive since it is a side length, so the negative root of 81 is rejected.
Perimeter= [tex]4s[/tex]
Perimeter= [tex]4(9)=36inches[/tex]
Step-by-step explanation:
In order to find the perimeter we need to find the length first ...
...Here, the area is already given ...
Area = 81 inches square
length = ?
Now....
( The formula of area is l × l )
[tex]area = {l}^{2} [/tex]
[tex]81 = {l}^{2} [/tex]
Now we should find square root of 81...
[tex]l = \sqrt{81} [/tex]
[tex]l \: = 9[/tex]
Now we find length so it's easy for us to find perimeter...
The formula of perimeter of square is 4l ..
= 4l
= 4 × 9
= 36 inches
hence the answer is 36 inches....
PLS I NEED HELP QWQ
Answer:
∠APB = 106°
Step-by-step explanation:
Method 1: Focus on Triangle APB
Every angle of equilateral triangle ABC is 60°
∠BAP = 60°
∠ABP = 60° - 46° = 14°
Total degrees in one triangle is 180°
∠APB = 180° - 60° - 14° = 106°
Method 2: Exterior Angle Theorm
∠APB = ∠PBC + ∠PCB
∠APB = 46° + 60°
∠APB = 106°
208 ,204 ,200 45th term
Answer
32
Step-by-step explanation:
This is an example of an arithmetic sequence as the difference between the first 3 terms is constant. We can see that 4 is constantly being subtracted.
is the formula for an arithmetic sequence.
= nth term
a = the first term in the sequence
n = term you are looking for (in this case 45)
d = common difference between the terms (in this case -4)
1) How big is a horsefly if 1 cm = 1m?
2) How big is the ghost if 1 cm= 20 cm?
3) How big is the kitty if 1 cm = 10 cm?
According to a survey, 15% of city workers take the bus to work. donatella randomly surveys 10 workers. what is the probability that exactly 6 workers take the bus to work? round the answer to the nearest thousandth.
The probability that exactly 6 workers take the bus to work is 0.001
How to determine the probability?The given parameters are:
Sample size, n = 10Required sample = exactly 6Probability of success, p = 15%The probability that exactly 6 workers take the bus to work is calculated using the following binomial expression
[tex]P(x) = ^nC_x * p^x * (1 - p)^{n - x{[/tex]
So, we have:
[tex]P(6) = ^{10}C_6 * (15\%)^6 * (1 - 15\%)^4[/tex]
Evaluate the expression
P(6) = 0.001
Hence, the probability that exactly 6 workers take the bus to work is 0.001
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The solution (-4,0) is a solution to which of the following equations? How do you know?
a)3y-x=4
b)10x+1/2y=3
c)-2x-3y=-4
d)-6x+2y=24
Answer:
Correct option is A)
If the solutions to the equations are 8 and −4, the factored form of the equation is : (x−8)(x+4)=0
Use FOIL to find the quadratic form: x
2
−4x−32=0. Therefore, the correct equation is (A)
Step-by-step explanation:
What do you think?
Don't forget to follow narin ty
In order for a gear to work in a piece of machinery, the radius of the gear, r, must be greater than 4 cm, but not exceed 4. 1 cm. Which compound inequality represents the situation? r > 4 and r ≤ 4. 1 r > 4 or r ≤ 4. 1 r < 4 and r ≥ 4. 1 r < 4 or r ≥ 4. 1.
Answer:
see the attachment!
i hope this can help you!
please help! find the scale factor and ratio of perimeters for a pair of similar octagons with areas 64ftsq and 81ftsq. i need the scale factor and the ratio of the perimeters!
Answer:
the scale factor and the ratio of their perimeters is 8/9
Step-by-step explanation:
k^2=area 1/area 2
k^2=64/81
=square root if k^2=square root of 64/81
=k=8/9
Which expression is equivalent to -15-(-8)
Answer:
the answer is 15-8
I hope this helps you
Answer:
-15+8
Step-by-step explanation:
