Answer:
The polynomial must be added by 2.25 on each side of the equation.
Step-by-step explanation:
Let [tex]x^{2}-3\cdot x +20 = 0[/tex], we need to add each side by 2.25 to complete the square, that is, expanding the polynomial so that factor of a perfect square trinomial can be done:
1) [tex]x^{2}-3\cdot x +20 = 0[/tex] Given
2) [tex](x^{2}-3\cdot x +20) +2.25 = 2.25 + 0[/tex] Compatibility with addition/Commutative property
3) [tex](x^{2}-3\cdot x +2.25) +20 = 2.25[/tex] Commutative, associative and modulative properties.
4) [tex](x-1.5)^{2} +20 = 2.25[/tex] Perfect square trinomial/Result
Answer:
(x−21)^2=81/4
8/9 + 2/3 + 1/6 = PLeASe HeLp
A. 11/8
B. 11/15
C. 1 13/18
D. 1 2/9
Answer:
C. 1 13/18
Explanation:
The area of the following parallelogram is 77m2. What is the length it’s base?
Answer:
11 maybe???
Step-by-step explanation:
Which equation best represents the graph?
find the volume of the 2 dice if the length of the base of the cube is 4cm
A) 64cm cubed
B) 96cm cubed
C) 108cm cubed
D) 128cm cubed
Answer:
I think the answer is A 64cm cubed
Find the greatest common factor of 24x^2 and 42xy^3 .
Answer:
12y2
Step-by-step explanation:
Prehistoric cave paintings were discovered in a cave in France. the paint contain 25% of the original Carbon-14. Use the exponential decay model for carbon-14, A=A0e^-0.000121t to estimate the age of the paintings
Answer:
The age of paintings is - 26,601 years .
Step-by-step explanation:
Lets calculate-
A= [tex]0.25 A[/tex]o
Therefore ,
[tex]A= A[/tex]o [tex]e^-^0^.^0^0^0^1^2^1^t[/tex]
[tex]ln0.25=-0.000121t[/tex]
[tex]-3.2188=-0.000121t[/tex]
[tex]t=\frac{-3.2188}{-0.000121}[/tex]
t= 26,601.65
Therefore , the age of paintings is 26,601 years old.
Solve the inequality
*
2x^2+ 5x – 3 < 0.
Answer:
heres the answer I think
Step-by-step explanation:
-3 < x < 1/2
Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178more cans than Shane did.
Write an inequality to determine the number of cans, S, that Shane could have collected.
Answer:
[911,∞)
Step-by-step explanation:
Given: S be the number of cans collected by Shane.
Since, Abha collected 178 more cans than Shane did.
Then, the number of cans collected by Abha = S+178
Also, Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling.
So,
Hence, the solution set of the inequality will be [911,∞)
What is the value of x In the solution to the system of equations below?
6х + Зу = 13
3х - у = 4
F. 1
G. 5/3
H. 8/3
J. 7/3
Answer:
The answer is G. 5/3
Step-by-step explanation:
I used the elimination process and multiplied the second equation by three which allowed me to cancel out the positive and negative three y's.
6x+3y=13
(3x-y=4)*3
6x+3y=13
9x-3y=12
6x+9x=15x
13+12=25
15x=25
15x/15=25/15
By dividing, the fifteens on the left cancel out leaving:
x=1.66667 or 1 2/3 = 5/3
I hope this helps. :)
A ship sails 20 km due East, then 12 km due South.
Find the bearing of the ship from its initial position.
Give your answer correct to 2 decimal places.
Answer:
Step-by-step explanation:
20km east - 12km south= 8km east
Answer:
its 120.96
Step-by-step explanation:
i dont have any but i know that is the answer
A biologist has two brine solutions, one containing 7% salt and another containing 28% salt. How many milliliters of each solution should she mix to obtain 1 L of a solution that contains 19.6% salt?
Answer:
Each litters can be represented as; x and y respectively to the 7% and the 28%
x + y =1
7x + 28y =19.6
This a simultaneous equation and can either be solved by using elimination or substitution method
Using the substitution method
eqn1, x=1-y
putting into eqn2
7(1-y)+28y =19.6
7-7y+28y=19.6
21y=12.6
y=3/5
but x=1-y
so
x=1-3/5
x=2/5
Someone help please
Answer:
it is 1000x+2000
Step-by-step explanation:
(Past Due) Need Help
I would say its the second one.
the student shouldve distributed the 2^3x+3 into 2^3x+9
1/5 x 11 simplified if can
Answer:
2.2
Step-by-step explanation:
Answer:
11/5
Step-by-step explanation:
What is the value of x in the equation 13−2(+4)=8+1 13 x − 2 ( x + 4 ) = 8 x + 1 ?
Answer: x= 12/103
alternate form x =0.116505
Step-by-step explanation:
Try Photo math! It explains step by step!
Hope this helps!!!!
Please help, GodBless.
Answer:
m = - 6 :)
Step-by-step explanation:
A 3-cup container of disinfectant costs $1.92. What is the price per fluid ounce?
Answer:
Its cost about 1.5625
if you rounded its 1.56 :)
Step-by-step explanation:
Plz help is it the same?
Answer:
12.054 < 12.54
Step-by-step explanation:
12.054 is less than 12.54 because it has a zero in the tenths place, and 12.54 has a five in the tenths place! Always check the first spot after the decimal first. Best of luck<3
Answer:
12.054 < 12.54
Step-by-step explanation:
PLEASE HELP THIS IS TIMED!!
Answer:
(D) 3/10
Step-by-step explanation:
So its split into 10 different rates each and its on the third split So 3/10.
WILL GET BRAINLIEST The scatterplot shows the weight and miles per gallon of the nation's 40 best-selling cars.
Vehicle Weights and Miles
Per Gallon
Miles Per Gallon
Vehicle Weight
Which statement is most strongly supported by the scatterplot?
The last one as we can see that as the wight increases, the miles per gallon decreases.
EH is a diameter is D. The measure of EF is (10x + 8) and the measure of GH is (11x). What's the value of X
Answer:
x = 5°
EF = 58°
GH = 55°
Step-by-step explanation:
From The diagram :
Recall ; Angle on a straight line = 180°
This means :
EF + FG + GH = 180
EF = (10x + 8)°
GH = (11x)°
FG = 67°
HENCE;
10x + 8 + 11x + 67 = 180
21x + 75° = 180°
21x = 180 - 75
21x = 105
x = 105 / 21
x = 5
EF = 10x + 8 = 50 + 8 = 58°
GH = 11x = 11 * 5 = 55°
I need help, I dont understand
Answer:
20,19,18
Step-by-step explanation:
because you have to go backwards
a) 3= x + 7
b) -7a-49
Answer: b im pretty sure hope this helps :)
Step-by-step explanation:
Answer:
A: x = -4
B: a = -7 (I'm assuming the '-' in front of 49 was supposed to be an '=')
Step-by-step explanation:
A: You need to group the like terms together, and isolate the variable, which in this case is x.
Take the 7 over to the other side, so the equation looks a little bit like this.
3-7 = x.
3-7 is -4, so we've gotten our answer.
x = -4.
B: -7a = 49.
When two negative numbers are multiplied together, the product becomes positive.
49 is 7x7.
-7 times -7 would be 49.
So, in this situation, a would be -7.
a = -7.
Solve the word problem using the plotted points on the graph.
Answer:
In the graph, we can see that the relation between length and weight is given by the adjusted line, which passes through the points (24, 16) and (28, 25)
Remember that a linear relation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If this line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be calculated as:
a = (y₂ - y₁)/(x₂ - x₁)
Then in our case, the slope will be:
a = (25 - 16)/(28 - 24) = 9/4
y = (9/4)*x + b
Knowing that this line passes through (24, 16), we know that when x = 24, y must be equal to 16.
If we replace these in the equation, we can find the value of b.
16 = (9/4)*24 + b
16 = 54 + b
16 - 54 = b - 38
Then the equation is:
y = (9/4)*x - 38
Now that we know the equation, we can simply replace y by 34 pounds to find the value of x.
34 = (9/4)*x - 38
34 + 38 = (9/4)*x
72*(4/9) = x = 32
So we can estimate that the length of a fish that weighs 34 pounds is 32 (I do not know the unit of length, I can't see the horizontal axis on the image)
A compact disc is designed to last an average of 4 years with a standard deviation of 0.8 years. What is the probability that a CD will last less than 3 years?
A- 1.11%, B - 10.56%, C - 86.65%, D - 100%
Answer:
the answer is B.........................
Write an expression to represent the following:
Two less than the product of five and a number x.?
Step-by-step explanation:
[tex]5x - 2[/tex]
...........
Answer:
2-5x
Step-by-step explanation:
let the number be x, 5 *x = 5x.
2 less means ,2 minus,
>> 2-5x.
Order form least to greatest
0.777, 9/11, 5/9, 65%, 0.714, 83.3%, 0.583, 0.5, 0.75, 4/9
Answer:
4/9, 0.5, 0.583, 5/9, 65%, 0.714, 0.75, 0.777, 9/11, 83.3%!
Step-by-step explanation:
Hope this helps
A gift box has the shape of a rectangular prism. How much wrapping paper do you need to cover the box?
Thanks in advance!
Answer:
852 inches square
Step-by-step explanation:
2×(16×15 + 16×6 + 15×6)
Answer:
652 in²
Step-by-step explanation:
The formula is 2(wl+hl+hw)
h is height
w is width
l is length
Use PEMDAS/BIDMAS/BODMAS (do the parentheses then multiply it)
326*2 = 652
add your units
652 in^2
Write 3^4 in expanded form. (3^4 means 3 raised to the fourth power.)
A: 3x3
B :3x3x3
C: 3x3x3x3
D: 3x3x3x3x3
Answer:
c because 3.3.3.3 is 3 to the 4th power expanded
How to write 8,99,999 in international system. I want this number but in words of international system
8,99,999 in international system:-
899,999= Eight hundred ninety-nine thousand nine hundred ninety-nine