Answer:
[tex]\frac{m}{6}[/tex] = -9 6 × (-9) = -54
Step-by-step explanation:
What is the x equal too in x² - 3x = 54?
Well, we know standard form of quadratic equation : ax² + bx + c where,
a = Coefficient of x²
b = Coefficient of x
c = Constant term
We also equation for determinant :
⇒ b² - 4ac
Here, if value of determinant i.e. (b² - 4ac) = A perfect Square, then we can understand that the givdn equation is factorisable.
But, if the value of (b² - 4ac) ≠ A perfect square, then it will be considered as "Not factorisable"
Now let's calculate whether the equation is factorisable or not :
Comparing the given equation with ax² + bx + c, we get :
a = 1
b = -3
c = -54
Putting values in the determinant equation :
⇒ (-3)² - 4(1 × -54)
⇒ 9 + 216
⇒ 225
⇒ 15²
So, determinant = A perfect square
That means the given equation is factorisable.
Now let's factorize with by middle term splitting :
⇒ x² - 3x - 54
⇒ x² -(9 - 6)x - 54
⇒ x² - 9x + 6x - 54
⇒ x(x - 9) + 6(x - 9)
⇒ (x + 6)(x - 9) [Required Solution]
Hence, we get our required solution.
Hope this Helps (✿◡‿◡)
(2y^3-5y^2-4)-(4y^3+11y^2-3y+5)
Evaluate the following using
powers of ten rules.
9.4326
x 100
Answer: 943.26
Step-by-step explanation:
9.4326
x 100
------------
943.26
if s.p.=rs210,profit percent =8%c.p.=rsx and find cp
I need help, It is a written problem
Simplify e⁰. answer it please
1/3 divided by 4 = what
Answer:
1/12
Step-by-step explanation:
I divided
Oliver invested $53,000 in an account paying an interest rate of 2.7% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 20 years?
Answer: 90946.55
Step-by-step explanation:
The required amount after 20 years would be $90946.55.
Given that,
Oliver invested $53,000 in an account paying an interest rate of 2.7% compounded daily.
Investment is defined as when an individual spends money on something that returns him or her higher money than the money they or invest.
Here,
According to the question,
The amount after 20 years is given as,
[tex]y = 53000[1 + 0.27/365]^{365*20}\\y = 90946.54732\\y \approx 90946.55[/tex]
Thus, the required amount after 20 years would be $90946.55.
Learn more about investments here:
https://brainly.com/question/15353704
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What does the question mark stand for in the following when you factorise:
4d3 + 6de =? (2d2 +3e
Answer:
Question mark stands for 2d
Step-by-step explanation:
Here, we want to get what the question marks stands for
As we can see, the left was factorized to give the right
So, we have that ;
4d^3 + 6de = 2d(2d^2 + 3e)
so the question mark stands for 2d
How can you write a linear function in the form y=mx + b by using the two points given below (0,-2), (2,6)
Answer:
y = 4x - 2
Step-by-step explanation:
m = y-y/x-x
m = 6-(-2)/2-0
m = 8/2
m = 4
Answer:
y=4x-2
Step-by-step explanation:
Which expression represents the height of the pyramid? StartFraction 3 V Over y squared EndFraction units (3 V minus y squared) units (V minus 3 y squared) units StartFraction V Over 3 y squared EndFraction units
Answer:
Height = 3v/y² units
StartFraction 3 V Over y squared EndFraction units
Step-by-step explanation:
The volume of a solid right pyramid with a square base is v units3 and the length of the base edge is y units. which expression represents the height of the pyramid? units (3v – y2) units (v – 3y2) units units
Volume of a solid right pyramid = 1/3 × area of the base × height
Volume of a solid right pyramid = v units³
Area of the base = y² unit²
Volume of a solid right pyramid = 1/3 × area of the base × height
v = 1/3 × y² × height
Height = v ÷ 1/3 × y²
= v × 3/1y²
= (v × 3) / y²
= 3v / y²
Height = 3v/y² units
StartFraction 3 V Over y squared EndFraction units
Answer:
B
Step-by-step explanation:
Kerr is going to pack 9 baby carrots, 12 crackers and 18 grapes into lunch boxes . How many of each food item will there be in a lunch box if she packs the items into the greatest number of indentical lunch boxes
Answer:
3 baby carrots, 4 crackers and 6 grapes
Step-by-step explanation:
Given
[tex]Baby\ Carrots = 9[/tex]
[tex]Crackers = 12[/tex]
[tex]Grapes = 18[/tex]
Required
Determine the number of each food item in a lunch box
First we need to get the number of lunch boxes by calculating the GCF of 9, 12 and 18
[tex]9 = 3 * 3[/tex]
[tex]12 = 2 * 2 * 3[/tex]
[tex]18 = 2 * 3 * 3[/tex]
The GCF is:
[tex]GCF = 3[/tex]
This implies that the number of lunch boxes is 3.
If there are 3 lunch boxes:
3 baby carrots will go into each lunch box because 3 * 3 = 9 4 crackers will go into each lunch box because 4 * 3 = 126 grapes will go into each lunch box because 6 * 3 = 18-6 x -1 x -2 x -3
Which of the following is the correct answer
-36
-12
12
36
A tree is 4. feet tall. It is expected to grow by 1 feet per year.
At this growth rate, how many years will it take for the tree to have a height greater than 40 feet? Enter the answer in the box.
years
Answer:
37 years
Step-by-step explanation:
Answer:
36 years
Step-by-step explanation:
it would take 36 years to reach the height of 40 feet. I know this because it is already 4 feet and needs to grow 36 feet and if it is growing at a rate of 1 foot per year then it would take 36 years
A line has this equation: y = x + 4 Write an equation for the perpendicular line that goes through (2, 5).
Answer:
y = -x + 7
Step-by-step explanation:
y = x + 4 slope: 1
slope of perpendicular line: -1
for (2,5) y interception (b) = y - mx = 5 - (-1)*2 = 7
equation: y = -x + 7
check: -x+7 = -2+7 =5
-2x + y = 1.3
2(0.5x - y) = 4.6
Answer:
x=-2.4
y=-3.5
Step-by-step explanation:
Simplify the expression.
7(9k + 2m)
Answer:
=63k+14m
Step-by-step explanation:
=(7)(9k+2m)
=(7)(9k)+(7)(2m)
Someone help with this please
Answer: B
Step-by-step explanation: B is in slope-intercept form
(-3, -6) translated 6 units up
Answer: y= 4x + 6 Not sure but hope this help
Step-by-step explanation:
Answer: (-3, 0)
Step-by-step explanation:
I am including a picture that explains. Hope this helps!
what are the roots of the equation -3x + 19 = -x^2+1
Answer:
(3 ± 3√7i)/2Step-by-step explanation:
-3x + 19 = -x^2+1x^2 - 3x + 19 - 1 = 0x^2 - 3x + 18 = 0x = (3 ± √9 - 72)/2 x = (3 ± √-63)/2x = (3 ± 3√7i)/2It has no real solutions and two complex roots
PLEASE HELP THIS IS DUE TODAY
Area A: 6
Area B: 18
Area C: 3
Area D: 4
Area E: 2
Answer:
a) [tex]1\,cm^{2}[/tex] is [tex]\frac{1}{6}[/tex] of area A.
b) [tex]1\,cm^{2}[/tex] is [tex]\frac{1}{18}[/tex] of area B.
c) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{3}[/tex] of area C.
d) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{4}[/tex] of area D.
e) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{2}[/tex] of area E.
Step-by-step explanation:
According to stament, the area A is 6 square centimeters, the area B is 18 square centimeters, the area C is 3 square centimeters, the area D is 4 square centimeters and the area E is 2 square centimeters.
The purpose of this exercise is determine all ratios associated with each area, defined as a given area divided by the total area. Then, we proceed to determine each result:
([tex]A_{given} = 1\,cm^{2}[/tex], [tex]A_{A} = 6\,cm^{2}[/tex], [tex]A_{B} = 18\,cm^{2}[/tex], [tex]A_{C} = 3\,cm^{2}[/tex], [tex]A_{D} = 4\,cm^{2}[/tex], [tex]A_{E} = 2\,cm^{2}[/tex])
[tex]r_{A} = \frac{1\,cm^{2}}{6\,cm^{2}}[/tex]
[tex]r_{A} = \frac{1}{6}[/tex]
[tex]r_{B} = \frac{1\,cm^{2}}{18\,cm^{2}}[/tex]
[tex]r_{B} = \frac{1}{18}[/tex]
[tex]r_{C} = \frac{1\,cm^{2}}{3\,cm^{2}}[/tex]
[tex]r_{C} = \frac{1}{3}[/tex]
[tex]r_{D} = \frac{1\,cm^{2}}{4\,cm^{2}}[/tex]
[tex]r_{D} = \frac{1}{4}[/tex]
[tex]r_{E} = \frac{1\,cm^{2}}{2\,cm^{2}}[/tex]
[tex]r_{E} = \frac{1}{2}[/tex]
a) [tex]1\,cm^{2}[/tex] is [tex]\frac{1}{6}[/tex] of area A.
b) [tex]1\,cm^{2}[/tex] is [tex]\frac{1}{18}[/tex] of area B.
c) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{3}[/tex] of area C.
d) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{4}[/tex] of area D.
e) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{2}[/tex] of area E.
13. The seniors and juniors at Sweet Valley High School are going on a trip to Busch Gardens. The seniors filled 12 vans and 12 buses with 564 total students. The juniors filled 6 vans and 13 buses with 492 students. How many students were in each van? In each bus?
PLZZZ HELP <3
Answer:
Step-by-step explanation:
The answer is give me the answer
Mr Coope drives 472 miles in 8 hours. At this rate, how many miles would he drive in 6
hours?
A) 381
B) 340
C) 101
D) 354
70 is 40% of what number?
oh oh i had this question jn leh me find it !!!
Answer: 175
Step-by-step explanation:
If you take 100(as a percentage) and divide it by 40, you get 2.5, 70x2.5 is 175
Can someone help me with this? I don’t understand it!! (Conditional Property)
Answer:
19%
Step-by-step explanation:
What is the probability that those who ordered a large drink was a cold one?
27 drinks in total
5 cold
5/27*100%
Hope this helps!
I will give you 20 points I need your help please!!! I need to know which one it is??
Answer:
c
Step-by-step explanation:
Divide each of the side lengths of the larger triangle by the side lengths of the smaller triangle and you get 4
the question is in the picture. will give brainilist
Step-by-step explanation:
Factor out the coefficient of the variable term.
The expression 0.15c – 0.072 factored is
please help!!
Answer:
Step-by-step explanation:
Dookie
I need help solving this practice question
Answer:
B
Step-by-step explanation:
SAS congruence means that an the concruent angle is found between the two congruent sides. To prove this, IJ and ST must be congruent (so that the angle is between the sides)
Here is a rectangle ABCD.
20 cm
30 cm
The length of the rectangle is increased by 20%.
The width of the rectangle is increased by 10%.
Find the percentage increase in the area of the rectangle.
Answer:
25% increase
Step-by-step explanation:
length is 24 inches after the increase and width is 33 inches (i did length as up and down and width as side to side, that's how I always do it but I might be wrong let me know and I can fix it)
the area before it gets increased it 600
after the increase its 792
and 600 is 75.75% of 792
so it would be 25.25% increase
sorry this was so long hope this helps