x^4 - 6x^2 - 27
Let u = x^2
We know that x^4 = (x^2)^2.
u^2 - 6u - 27
(u - 9)(u + 3)
Now, back-substitite for u.
(x^2 - 9)(x^2 + 3)
The RIGHT SIDE FACTOR is the difference of two squares.
So, x^2 - 9 becomes (x - 3)(x + 3).
(x - 3)(x + 3)^2
Done.
PLEASE HELP ME ITS SYSTEM OF LINEAR EQUATIONS
room is 32 ft by 40 ft. She needs to make a scale of her room that is 8 in. by 10 in. What is the scale she needs to use?
I am trying to find what x and y means please help
5x + y = 7
Answer:
X and Y are variables.
Consider that you have $7. It costs $5 to buy a sandwich and $1 to buy a drink.
To find out what you can buy, and spend $7 (on the nose), we have the formula
5X + 1Y = 7
Answer:
x=1 y=
Step-by-step explanation:
i need help asap !!!
Answer:-15/28
Step-by-step explanation:
2/1*x5/7x-3/8=-30/56 ÷2=-15/28
Can someone help me?
Answer:
B. Yes, 3.5
Step-by-step explanation:
Proportional Variables
Two variables x,y are proportional if one of them can be calculated as the other variable time a fixed constant:
y = k.x
Or, equivalently:
k = y/x
k is called the constant of proportionality.
The table gives three points: (13,45.5) (14,49) (15,52.5)
To find out if the values correspond to a proportional relationship, we find the value of k for each pair:
k = 45.5 / 13 = 3.5
k = 49 / 14 = 3.5
k = 52.5 / 15 = 3.5
Since the value of k is the same for all the points, we conclude the table shows a direct proportional relationship and the constant of proportionality is 3.5
The floor of a room is 12m long and 7.5m broad i) Find the area of the floor ii) Find the cost of carpeting the floor at rs 80 per sq.m
(Unitary method)
A=90m^2
Cost=RS.7200
I hope that helps
Answer:
this is the formula that you want
−3(x + 3) = −3(x + 1) − 5
Answer:
No real solutions
Step-by-step explanation:
Distribute the -3
-3x - 9 = -3x -3 -5
-3x - 9 = -3x - 8
add 3x to both sides
-9 = -8
makes it no real solution
O A. y = {x+1
O B. y=-2x-1
O C. y=-2x+ 1
O D. y = 2x-1
The diagram shows a sector of a circle radius 11 cm.
Show that the perimeter of the sector
is greater than 47.5 cm.
135°
11 cm
Answer:
Perimeter of sector is 47.93 cm which is greater than 47.5 cm
Step-by-step explanation:
Mathematically, the perimeter of a sector is length of the arc plus 2 radii
The length of the arc is;
theta/360 * 2 * pi * r
where theta is the angle subtended by the arc at the center of the circle
Thus, we have
135/360 * 2 * 22/7 * 11 = 25.93
Add 2 radii = 25.93 + 2(11) = 47.93 cm
This is greater than what we are asked to calculate and thus we have shown what we are asked to show
Answer:
47.9cm>47.5cm
Step-by-step explanation:
135(angle) /360 x 2 pi r (to give arc of the sector)
135/360 x 2 x 3.142 x 11 = 25.92cm
add 11 + 11 (radius)
25.92 + 22= 47.9cm
2.The tables show the numbers of white and yellow flowers Cara and Hector used in 5 different arrangements.
Cara’s Flower Arrangements
White
3
6
9
12
15
Yellow
5
10
15
20
25
Hector’s Flower Arrangements
White
4
8
12
16
20
Yellow
6
10
14
18
22
Part A
Are the numbers of white and yellow flowers in Cara’s arrangements proportional? Write an equation that relates the number of yellow flowers, y, to the number of white flowers, w.
Part B
Are the numbers of white and yellow flowers in Hector’s arrangements proportional? Write an equation that relates the number of yellow flowers, y, to the number of white flowers, w.
Answer:
Step-by-step explanation:
15
Part A:
Yes, the numbers of white and yellow flowers in Cara's arrangements are proportional.
yellow flowers = y
white flowers = w
5y = 3w
Therefore, the numbers of white and yellow flowers in Cara's arrangements are proportional.
Part B:
yellow flowers = y
white flowers = w
6y = 4w
Therefore, the numbers of white and yellow flowers in Hector's arrangements are proportional.
How do I solve this equation?
Answer:
x=7,x=-4
Step-by-step explanation:
[tex]2x-3=11\\2x=11+3\\2x=14\\x=7\\\\2x-3=-11\\2x=-11+3\\2x=-8\\x=-4[/tex]
Answer: x=7, x= -4
Step-by-step explanation: Ok because of the absolute value signs, there are going to be two different equations. The first one is just 2x-3=11. Solve that: 2x=14, x=7. Then because the answer in the absolute value could also be -11 (because absolute values always have to be positive), there is another equation : 2x-3=-11. Add 3 on both sides, 2x=-8, x=-4
Is this a function or no?
Answer:
no
Step-by-step explanation:
Sonji paid $25 for two scarves, which were different prices. When she got home she could not find the receipt. She remembered that one scarf cost $3 more than the other. What was the price of the more expensive scarf?
plzz help!!!!!!!!!!
the answer is 53
Step-by-step explanation:
25 plus 25 is 50 plus 3
Y>x-3, y<-x+3? I need a graph:(
Answer:
Then make one
Step-by-step explanation:
Imani and Todd were trying to solve the equation: x^2+6x+5=8x 2 +6x+5=8x, squared, plus, 6, x, plus, 5, equals, 8 Imani said, "I can factor the left-hand side into (x+1)(x+5)(x+1)(x+5)left parenthesis, x, plus, 1, right parenthesis, left parenthesis, x, plus, 5, right parenthesis, so I'll solve using the zero product property." Todd said, "I can solve by completing the square. If I add 444 to each side, I can rewrite the equation as (x+3)^2=12(x+3) 2 =12left parenthesis, x, plus, 3, right parenthesis, squared, equals, 12." Whose solution strategy would work? Choose 1 answer: Choose 1 answer:
Answer:
Todd's
Step-by-step explanation:
Given the expression x^2+6x+5=8, we are to determine which whether Imani or Todd method will work
Imani method might not work because he hasn't written the equation in standard form before factorizing. He should have equated the expression to zero first before factorizing and finding the zeros of the expression. The equation should have been written in the form ax²+bx+c = 0 first.
For Todd, his method will work because he used the completing the square method. The value at the right hand may not necessarily be zero before applying the rule. The idea is to make the quadratic equation complete and a perfect square.
This is achieved by adding the half of coefficient of x to both sides of the expression before simplifying.
From the expression x²+6x+5 = 8 we can see that adding 4 to both sides will make the quadratic equation on the left a perfect square.
x²+6x+5= 8
x²+6x+5+4= 8 +4
x²+6x+9 = 12
x²+3x+3x+9 = 12
x(x+3)+3(x+3) = 12
(x+3)(x+3) = 12
(x+3)² = 12
We can see that the expression at the left hand is now a perfect square. Hence Todd solution strategy will work
Answer:
only todd i got it from khan
Step-by-step explanation:
Reggie is 13 years older than his cousin Ramon. In 9 years from now, Reggie will be twice as old as Ramon will be then. How old is Ramon now?
Answer:
what were the anwser choses
Step-by-step explanation:
he is 6 years old right now
Evaluate the expression -8x + 5 - 2x - 4 + 5x when x = 2 before and after simplifying.
Answer:
Step-by-step explanation:
all we have to do is plug in 2 for x into the equation:
-8(2) + 5 -2(2) -4 + 5(2)
-16 + 5 -4 -4 + 10
-11 -8 + 10
-19 + 10
the answer is
-9
to simplify the equation we’ll combine like terms
-8x + 5 -2x -4 + 5x
-10x + 1 + 5x
-5x + 1
now we’ll plug in 2 for x
-5(2) + 1
-10 + 1
the answer is still
-9
Answer:
-9
Step-by-step explanation:
Triangles on a square grid what is the property of the triangle
Answer:
Isosceles triangle
Step-by-step explanation:
Answer: This triangle is a Right Isosceles triangle so you would select B. & D.
Explanation: This triangle isn't equilateral sense the three sides / three angles aren't equal. And isn't scalene sense scalene triangle have no equal sides and no equal angles.
Given AABC with coordinates A(-4,-2), B(-1,1) and C (-2,3)
what would be coordinates of AA'B'C' after a rotation of 180° ?
Answer: 15
15-15 = 0
10-10=0
Which relation is a function?( click all that apply)
)A class has 9 boys and 15 girls. What is the ratio in simplest form that compares number of boys to total number of students?
3:5
3:8
9:15
9:24
Answer:
3:5
Step-by-step explanation:
3, 6, 9.
5, 10, 15.
always see which numbers fit and which numbers dont
Answer:
9:24 is the ratio.
Step-by-step explanation:
If a van traveled 120 miles in 2 hours, how far could the van travel in 5 hours?
Answer :
The Answer Is 300 Miles In 5 Hours
Answer:
300 miles i think
Step-by-step explanation:
120 times 2.5 bc 2 times 2.5=5
120 times 2.5 is 300
Data with a correlation coefficient of 0.05 has a _[blank A]_ correlation, and data with a correlation coefficient of −0.80 has a _[blank B]_ correlation.
Answer:
Correlation Coefficient r value of 0.05 means a weak or very weak positive relationship while
Correlation Coefficient r value of 0.80 means a strong positive relationship
Step-by-step explanation:
Correlation Coefficient (r) signifies the strength of relationship which exists between two linear variables. The value of r ranges from - 1 to + 1 where positive and negative values signifies a positive and negative relationship relationship respectively.
The closer the r value is to either +1 or - 1, the greater the strength of the relationship while a r value of 0 means, there is no relationship between the two variables.
Hence in the scenario above :
Correlation Coefficient r value of 0.05 means a weak or very weak positive relationship while
Correlation Coefficient r value of 0.80 means a strong positive relationship
Answer:
Step-by-step explanation:
Correlation Coefficient r value of 0.05 means a weak or very weak positive relationship while
Correlation Coefficient r value of 0.80 means a strong positive relationship
"I am 3 times as old as Sue is," Frank said to Ann. "On the other hand, I am 15 years older than John while Sue is 1 year younger than John. How old am I?"
If J represents John's age, then which of the following equations could be used to solve the problem?
J + 15 = 3J - 1
J + 15 = 3(J - 1)
Answer:
J + 15 = 3(J - 1)
Step-by-step explanation:
I am 99% sure this is the right answer.
PLEASE HELP 3x – 7 ≥ 4x + 2
Hi there!
[tex]\large\boxed{x \leq -9}[/tex]
3x - 7 ≥ 4x + 2
Subtract 3x from both sides:
3x - 3x - 7 ≥ 4x - 3x + 2
-7 ≥ x + 2
Subtract 2 from both sides:
-7 - 2 ≥ x + 2 - 2
-9 ≥ x
x ≤ -9
number of integers between -2 and 2
Answer:
3 integers
Step-by-step explanation:
-1, 0, 1 lie between the integers - 2 and 2
Find the value of x in the triangle below.
x = ?
Answer:
x=8
Step-by-step explanation:
hope i helped!!!
Answer:
61°
Step-by-step explanation:
180-58=122
122÷2=61
a) x ^ 2 + 2x???????????
Step-by-step explanation:
x² + 2x
x(x + 2)
OR
x² + 2x = 0
x(x + 2) = 0
x = 0 or x + 2 = 0
x = 0 or x = - 2
A school keeps track of the percentage of scholars who pack lunch versus buy lunch. On Monday, 80% of scholars packed lunch. On Tuesday, 70% of the scholars who packed lunch do so again, and 50% of those who bought lunch on Monday pack lunch on Tuesday. Assume all scholars either pack lunch or buy lunch. Find the percent change in the number of scholars who bought lunch from Monday to Tuesday, and indicate whether this was an increase or decrease.
Answer:
you can also get the most of the best Friend in suluiman .70.
Help me plz nowwwwww
Answer:
...
Step-by-step explanation: