Method used:-
Completing the square method.
Steps :-
[tex]( x - 1 ) ( x + 2 ) = - 2\\x^{2}+x-2=-2 \\x^{2}+x=-2+2 \\x^{2}+x=0[/tex]
Now, make the left hand side of the equation by adding the square of ½ to both sides of the equation.
[tex]x^{2}+x+\left(\frac{1}{2}\right)^{2}=\left(\frac{1}{2}\right)^{2} \\x^{2}+x+\frac{1}{4}=\frac{1}{4} \\\left(x+\frac{1}{2}\right)^{2}=\frac{1}{4} \\\sqrt{\left(x+\frac{1}{2}\right)^{2}}=\sqrt{\frac{1}{4}} \\[/tex]
Simplify the equation. You'll get a +ve & -ve value.
[tex]x+\frac{1}{2}=\frac{1}{2} \\x+\frac{1}{2}=-\frac{1}{2}[/tex]
Simplify it further.
[tex]\boxed{\sf\:x=0}\\ \boxed{\sf\:x=-1 }[/tex]
The solutions are :-
x = 0 & x = -1
______
Hope it helps ⚜
Rafael writes an expression to represent “a number, n, decreased by thirty-one.” Then he evaluates that expression if n = 29. Which statements are true about the expression and its evaluation? Check all that apply.
The correct expression is 31 minus n.
This is a subtraction expression.
This is an addition expression.
To evaluate, substitute 29 for the variable in the expression.
To evaluate, substitute 31 for the variable in the equation.
To evaluate the expression, add 31 to 29.
The correct expression is n minus 31.
To evaluate the expression, subtract 31 from 29.
Answer:
The correct expression that can be represented by n decreased by thirty-one is n - 31
let
The unknown number = n
n decreased by thirty-one
= n - 31
If n = 29
n - 31
= 29 - 31
= -2
The correct expression is 31-n.
False
This is a subtraction expression.
True
This is an addition expression.
False
To evaluate, substitute 29 for the variable in the expression
True
To evaluate, substitute 31 for the variable in the equation.
False
To evaluate the expression, add 31 to 29.
False
The correct expression is n - 31
True
To evaluate the expression, subtract 31 from 29.
True
Step-by-step explanation:
the answer is a b e g f hop this helps u
Evaluate the expression shown below and write your answer as a mixed number in simplest form.
Answer:
-5 13/25
Step-by-step explanation:
This is what my calculator got me
my Christmas present to you
Answer:
yay thx
Step-by-step explanation:
merry xmas
A cannonball shot from a cannon has projectile motion.
true or false
need a answer please
What is the equation for the line in slope-intercept form
Answer:
y=-2x-4
Step-by-step explanation:
Which would be the most suitable viewing window to solve the system below?
The solution of the system belongs to -1 ≤ x ≤ 1, -1 ≤ y ≤ 1.
Given a system of the equations:
x/3 + y/2 = 1/3 .... (1)
(5x)/6 - (3y)/4 = 1/6 ....(2)
Multiply 5/2 to equation (1) then subtract from equation (2), we get,
(5y)/4 + (15y)/8 = 5/6 - 1/6
(10y + 15y)/8 = 4/6
(25y)/8 = 4/6
25y = 4/6 x 8
y = 32/150
y = 0.21
To find the value of x,
x/3 + 32/300 = 1/3
x/3 = 1/3 - 32/300
x = 3(1/3 - 32/300)
x = 1 - 32/100
x = 0.68
From the given choices,
-1 ≤ x ≤ 1, -1 ≤ y ≤ 1.
To learn more about the system of equations;
brainly.com/question/13729904
#SPJ1
[tex]41 \times 28 - 36 \div 32 + 17 \times 21 - 18 = [/tex]
answere please
Answer:
The answer is 1485.875.
Step-by-step explanation:
[tex]\large{\tt{\underline{\underline{\pink{SOLUTION:}}}}}[/tex]
To solve the above equation we will follow the BODMAS rule.
[tex]\blue\star[/tex] BODMAS is an order of mathematic operations.[tex]\blue\star[/tex] BODMAS rule is to be followed while solving expressions in mathematics.It stands for :
[tex]\purple\star[/tex] B = bracket[tex]\purple\star[/tex] O = order of power[tex]\purple\star[/tex] D = division[tex]\purple\star[/tex] M = multiplication[tex]\purple\star[/tex] A = addition[tex]\purple\star[/tex] S = subtractionSolving this question by bodmas rule :
[tex]\begin{gathered}\quad{\sf{ = 41 \times 28 - 36 \div 32 + 17 \times 21 - 18}}\\\\\quad{\sf{ = 41 \times 28 - \dfrac{36}{32} + 17 \times 21 - 18}}\\\\\quad{\sf{ = 41 \times 28 - 1.125+ 17 \times 21 - 18}}\\\\\quad{\sf{ = 1148 - 1.125+ 357 - 18}}\\\\\quad{\sf{ = (1148+ 357) - (1.125 + 18)}}\\\\\quad{\sf{ = (1505) - (19.125)}}\\\\\quad{\sf{ = 1505- 19.125}}\\\\\quad{\sf{ = 1485.875}}\end{gathered}[/tex]
Hence, the answer is 1485.875.
[tex]\rule{300}{2.5}[/tex]
A man is 5 feet 9 inches tall. To find the height of a tree, the shadow of the man and the shadow of
the tree were measured. The
length of the man's shadow was 3 feet 6 inches. The length of the tree's shadow was 10 feet
6 inches. What is the height of
the tree?
Answer:
17.25
Step-by-step explanation:
Write equation of the line containing (-3,4) and (-1,-2)
Answer:
y=-3x+1
Step-by-step explanation:
Answer:
It will be the last one.
Step-by-step explanation:
ANSWER FAST 20 POINTS
Answer: A
Step-by-step explanation:
The answer is A because, if you look at the line on the graph it’s a dotted line.
This means it’s either a < or >. Next you can see the y-intercept is -1, which actually doesn’t help you because all the answers hace the same y-intercept but still good to know. Finally if you use rise or run you can find the slope to be -2x.
Graph x <3
Please help me
Answer:
Step-by-step explanation:
BRAINLIEST PLZ ANSWER! IM DESPRATE ;(
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?
The answer is 4 mph I think-
please answer thisss
Answer:
ask assistance from someone close to you,it's a practical question.
A stock market fell 40 points each day for
three days. What was the total change in value
after the three days?
Answer: -120
Step-by-step explanation:
-40 X 3 = -120
what is the constant proprotionality in the equation y =7x
Answer:
7
Step-by-step explanation:
y=kx is the general formula for direct proportion where k is the constant. In your equation instead of k there is 7 so 7 is the constant.
given the line y=-2x - 1 and the point (4,4) find the equation of the line perpendicular to the given line. PLEASE! Helppp
Answer:
(-6,-5)
Step-by-step explanation:
y2-y1
x2-x1
subtract then you get the answer
Solve for x please help me ****
Answer:
x =10
Step-by-step explanation:
In a parallelogram, opposite sides are congruent
QT = RS
2x - 10 = x
Add 10 to both sides
2x = x + 10
subtract 'x' from both sides
2x -x = 10
x = 10
Please answer this ASAP
Solve for y.
30y=20y+60
A: y= -6
B: y= 6
C: y= 1.2
D: y= -1.2
(a) The perimeter of a rectangular parking lot is 288 m. If the width of the parking lot is 65 m, what is its length? Length of the parking lot:
Answer:
79 m
Step-by-step explanation:
We know that
Perimeter of rectangle = 2(l + b)
=> 288 = 2(l + 65)
=> 288/2 = l + 65
=> 144 = l + 65
=> 144 - 65 = l
=> 79 = l
Hence,
Length of rectangle is 79 m
Answer:
Length of parking lot = 79m
Explanation:
2 × length + 2 × breadth = perimeter of rectangle
2 × length + 2 × 65 = 288
2 × length + 130 = 288
2 × length = 288 - 130
= 158
length = 158 ÷ 2
= 79
why do you need to find the number that is halfway between 1 and 1 1/2
Answer:
Lets just say we are finding the halfway point is very needful because; it means that we can find the amount of flour used for 1 while egg.
We are told there is a need to find the Number that is halfway between 1 and 1½.
Step-by-step explanation:
WILL GIVE BRAINLYIST
Andre is in charge of cooking broccoli and zucchini for a large group. He has to spend all $17 he has and can carry 10 pounds of veggies. Zucchini costs $1.50 per pound and broccoli costs $2 per pound. One graph shows combinations of zucchini and broccoli that weigh 10 pounds and the other shows combinations of zucchini and broccoli that cost $17.
Graph
A combination of veggies that costs $17 but does not weigh 10 pounds.
Select all that apply.
Group of answer choices
D. 10 pounds of zucchini and 1 pound of broccoli
B. 4 pounds of zucchini and 6 pounds of broccoli
A. 6 pounds of zucchini, and 4 pounds of broccoli
C. 2 pounds of zucchini and 7 pounds of broccoli
Answer:
its A
Step-by-step explanation:
Mathematic 18 don’t understand
Answer:
8 x 10¹³ is your answers hopes it's helpful to you
Select the correct answer.
Which equation best models the set of data shown in this table?
Х
0
2
4
6
00
8
10
12
14
16
18
11
19
у
27
35
37
40
44
45
48
52
OA. y = 11v– 0.3 + 4.3
OB.y = 1177 + 0.3 – 4.3
O c.
y = 23 + 17
OD. y = 2.3 – 17
Answer: I cannot tell what equations you are talking about.
Step-by-step explanation:
Please type in the equations instead of copying and pasting so we can know what the actual equation is. Thank you.
Answer: B
Step-by-step explanation:
Got it right
3. If you are calculating the acceleration of an object, and it has a speed of 30 km/hr
and the time is measure in hours what are the units for acceleration?
I
We want to see which units we should use for acceleration in the given scenario, the units that we must use are km/h², or kilometer per hour squared.
So we know that acceleration is the rate of change of the velocity (in the same way that velocity is the rate of change in position).
Note that position is represented only with distance units, like km.
And to get a velocity you use the units km/h (that tell you how many kilometers your position changes in one hour).
Similarly, the rate of change of the velocity will be (velocity)/time.
(km/h)/h = km/h²
Which is kilometers per hour squared.
If you want to learn more about acceleration, you can read:
https://brainly.com/question/16710160
Factorise fully the following:
2x^2-8x
6x+9x^3
12x^3-4x^2
Step-by-step explanation:
1- 2x(x -4)
2- 3x(2-3x)
3- 4x²(3x-1)
is y in y + 2z + 45 + 5x a constant?
Answer:
See below
Step-by-step explanation:
No, a constant is a number without a variable ( variables are represented with a letter )
y is a variable as it is a letter.
The constant in y + 2z + 45 + 5x would be 45 as it has no variable.
the fraction 26/5 is between which two numbers
Answer:
[tex]\huge\boxed{5,6}[/tex]
Step-by-step explanation:
The fraction 26/5 can be simplified to 5 and 1/5, which is between the numbers 5 and 6.
Hope it helps :) and let me know if you want me to elaborate.
16. (-4, -3), (-2, 2)
Answer:
16. 5/2
Step-by-step explanation:
Rise/run
2- (-3)=5
-2- (-4)=2
rise/run= 5/2 (Five over two)
Question
Write an equation of the line passing through the point A(8, 2) that is perpendicular to the line y = 4x−7.
Answer:
y = m x + b equation of a straight line
m m' = -1 condition for perpendicular lines
If y = 4 x - 7 then m = 4 so m' = -.25
Y = -.25 X + A we need to find A
A = Y + .25 * 8 = 2 + 2 = 4
Y = -.25 X + 4
Check:
2 = -.25 * 8 + 4 = -2 + 4 = 2
PLEASE HELP!!!
use the properties of exponents to determine the value of a for the question: 3 square root x over x 1/3 =x^a
Answer:
a = 0
Step-by-step explanation:
The cube root (radical) is equivalent to x^(1/3). When that is divided by x^(1/3), the result is ...
(x^(1/3))/(x^(1/3)) = x^(1/3 -1/3) = x^0
Comparing that to x^a, we find a=0.
_____
The applicable rules of exponents are ...
[tex]\sqrt[n]{x^m}=x^{\frac{m}{n}}\\\\\dfrac{x^a}{x^b}=x^{a-b}[/tex]