Answer:
1 - y + y²
Step-by-step explanation:
1 + y³ is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b²) , then
1 + y³
= (1 + y)(1² - 1(y) + y²) = (1 + y)(1 - y + y²)
Then
[tex]\frac{1+y^3}{1+y}[/tex]
= [tex]\frac{(1+y)(1-y+y^2)}{1+y}[/tex] ← cancel out the common factor (1 + y)
= 1 - y + y²
Which shows the equation below written in the form ax2 + bx+c = 0?
x*2+7x+ 9 = 3
Hi!
x² + 7x + 9 = 3
x² + 7x + 9 - 3 = 0
x² + 7x + 6 = 0
Answer:
x^2+7x+ 6 = 0
Step-by-step explanation:
x^2+7x+ 9 = 3
Subtract 3 from each side
x^2+7x+ 9-3 = 3-3
x^2+7x+ 6 = 0
Solve the triangle. Round decimal answers to the nearest tenth.
pls pls help me answer
the function y=-2(x-3)^2+4 shows the daily profit of a hot dog stand, where x is the price of a hot dog where x is the price of a hot dog
Step-by-step explanation:
the answer is in the image above
pls give me brainliest
Give the order of symmetry from the fig 3
a)2
b)3
c)6
d)4
The value of the expression 2x^2/x(100-15x) when x=5 is
Answer:
[tex] \frac{2}{5} [/tex]
Step-by-step explanation:
[tex]2({5}^{2}) \div 5(100 - 5(15))[/tex]
[tex]50 \div 25 \times 5[/tex]
[tex]50 \div 125[/tex]
[tex]2 \div 5[/tex]
Find the value of the expression 8x^3 if x= -1
Answer:
- 8
Step-by-step explanation:
Substitute x = - 1 into the expression , that is
8x³
= 8(- 1)³ = 8(- 1) = - 8
Insert parentheses where needed so that the result of the expression is 2.
45-25 ÷2x2+2
Answer:
(45 - 25) / 2 × (2 + 3)
Step-by-step explanation:
Given:
45 - 25/2 × 2 + 3
By trials:
(45 - 25) / (2 × 2) + 3
= 20/4 + 3
= 20/7
Another trial:
(45 - 25)/2 × (2 + 3)
= 20/2 × 5
= 20/10
= 2
The parentheses should be inserted like this
(45 - 25) / 2 × (2 + 3)
Your credit card has a limit of $4,925. To maintain an acceptable debt ratio (50%), what is the maximum balance you can have on the card?
What is the equation of a line that passes through the points, (-2, 2) and is parallel to a line with an equation of y = 2x + 5
Answer:
y = 2x+6
Step-by-step explanation:
y = 2x + 5
This line is in slope intercept form y = mx+b where m is the slope and b is the y intercept
The slope is 2. Parallel lines have the same slope
y = 2x+b
Using the given point and substituting it into the equation
2 = 2(-2) +b
2 =-4+b
Add 4 to each side
2+4 = -4+b+4
6 = b
y = 2x+6
Can someone pls pls plz help
Answer:
About 5× more
Step-by-step explanation:
9,460,800÷1,861,440=
5.0825167612
Answer:
Option : CStep-by-step explanation:
First we estimate their value,
9,460,800 = 9,000,000 (estimate.)
1,861,440 = 2,000,000 (estimate.)
Then,
9,000,000 ÷ 2,000,000 = 4.5
When estimated,
4.5 = 5 (Ans)
A recipe for sugar cookies calls for 2 1/2 cups of sugar for 36 cookies. How much sugar would be needed for 48 cookies?
Answer:
[tex]3 \frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{\frac{5}{2} }{36} = \frac{x}{48}[/tex]
36x = 5/2 * 48
36x = 120
[tex]x = 3 \frac{1}{3}[/tex]
The amount of sugar needed for 8 cookies will be equal to [tex]3\frac{1}{3}[/tex] cups.
It is given that a recipe of sugar cookies needed [tex]2\frac{1}{2}[/tex] cups of sugar for 36 cookies.
We have to find out the amount of sugar needed for 48 cookies.
What is the unitary method?
The unitary method is a method in which we find the value of a unit and then the value of the required number of units.
As per the question ;
Sugar required for 36 cookies = [tex]2\frac{1}{2}[/tex] cups
Sugar required for 1 cookies
= [tex]2\frac{1}{2}[/tex] ÷ 36 cups
= [tex]\frac{5}{2}[/tex] ÷ 36
= [tex]\frac{5}{2}[/tex] × [tex]\frac{1}{36}[/tex]
So , the sugar required for 48 cookies will be equal to ;
= [tex]\frac{5}{2}[/tex] × [tex]\frac{1}{36}[/tex] × 48
= [tex]\frac{240}{72}[/tex]
= [tex]\frac{10}{3}[/tex]
or
[tex]3\frac{1}{3}[/tex] cups
Thus , the sugar needed for 8 cookies will be equal to [tex]3\frac{1}{3}[/tex] cups.
To learn more about unitary methods click here ;
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Help
I really need help pls
Answer
Mandisa uses more balloon per animal.
Amira and Mandisa made the same amount of balloon animals.
Explanation
Mandisa uses 5 balloons per animal.
You can find this out by putting the difference between two of the y values (output, dependent variable, in this case balloons) over the difference between two of the x values (input, independent variable, in this case animals). Let's take 225 and 125 from the y value and 20 and 40 from the x value. Mandisa uses 225-125=100 balloons per 40-20=20 animals. Mandisa uses 5 balloons per animal. 5 is more than 4 (how many balloons Amira uses for each animal), so Mandisa uses more balloons per animal.
Amira and Mandisa made the same amount of balloon animals.
Now you can divide the number of balloons they had at the beginning by the number of balloons per animal to find out how many animals each person made. Amira started with 260 balloons and used 4 balloons for each animal. Amira made 260/4=65 animals.
If Mandisa used 100 balloons to make 20 animals, she would have had 225+100=325 balloons at the beginning. Mandisa made 325/5=65 animals.
What does the question mean? For the blank
Answer:
Absolute value.
Step-by-step explanation:
We have the expression:
[tex]\displaystyle \sqrt{s^2}[/tex]
The square root and the square will cancel. This yields:
[tex]=|s|[/tex]
We need the absolute value because any value squared is positive. The square root of a positive value will also be positive.
In other words, if we only simplified the expression down to s without the absolute value, if s was originally negative, our simplification will have also been negative.
For instance, say s = -7, then:
[tex]\displaystyle \sqrt{(-7)^2}=\sqrt{49}=7[/tex]
However, if we let √s² = s, then s = -7. By having the absolute value, we have that |s| = |-7| = 7, which is the correct statement.
please help, ill give 69 points <33
Simplify 6 to the -3 power over 6 to the fifth power.
Pls answer quick. Thank U very much.
Answer:
1/1679616
Step-by-step explanation:
Answer:
Step-by-step explanation:
6^-3/6^5 = 6^-8 = 5.95 x 10^-7
Please help me answer this question it's part of my question that are due today please please help
Answer:
around 82.75
Step-by-step explanation:
Select the correct answer.
The product of two numbers, x and x+ 3, is 550. Which equation could be solved to find the value of the smaller number, x?
Answer:
C) x^2 + 3x
Step-by-step explanation:
The equation that could be solved to find the value of the smaller number, x is x^2 + 3x = 550
How to determine the equation?The numbers are given as: x and x + 3
The product of these numbers is 550.
So, we have:
x * (x + 3) = 550
Expand
x^2 + 3x = 550
Hence, the equation that could be solved to find the value of the smaller number, x is x^2 + 3x = 550
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A triangle and a parallelogram have the same base and the same area.
If the sides of the triangle are 26 cm, 28 cm and 30 cm and the
parallelogram stands on the base 28 cm. Find the height of the
parallelogram.
Height of parallelogram =12cm
Which algebraic expression is a difference with two terms?
A. 3y+1
B.-2y+5+3
C. 5y-7
D.5(y-6)
Answer:
1.
C. 5y -7 is an algebraic expression difference with two terms.
Can anyone explain this to me?
Answer:
$7, 657
Step-by-step explanation:
Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial amount of the loan is then subtracted from the resulting value.
Check out this cube: 3 Find the surface area of the cube (above) using its net (below
Answer:
54
Step-by-step explanation:
Surface area of a cube = 6a²
Where,
a = edge = 3
Surface area of a cube = 6a²
= 6 * (3)²
= 6 * (3 * 3)
= 6 * 9
= 54
Therefore,
The Surface area of the cube = 54
(URGENT PLEASE HELP)
The vertex of this parabola is at (5, 5). When the x-value is 6, the
y-value is -1. What is the coefficient of the squared expression in the parabola's equation?
a) 4
b) -6
c) 6
d) -4
Answer:
-6
Step-by-step explanation:
A parabola is vertex form is written as
y = a(x-h)^2 +k where (h,k) is the vertex
Substituting in the vertex
y = a(x-5)^2 +5
We know a point on the parabola so we can find a
-1 = a( 6-5)^2 +5
-1 =a(1)^2+5
-1 = a +5
Subtract 5 from each side
-1-5 = a
-6 =a
the product of 5 and x subtracted from the sum of y and 3
Step-by-step explanation:
The product of 5 and x subtracted from the sum of y and 3 :
Product of 5 and x :
[tex]5 \times x = 5x[/tex]
Sum of y and 3 :
[tex]y + 3[/tex]
The product of 5 and x subtracted from the sum of y and 3 :
[tex](y + 3) - (5x)[/tex]
Answer:
y+3 - 5x
Step-by-step explanation:
the product of 5 and x
5x
the sum of y and 3
y+3
Subtract 5x from (y+3)
y+3 - 5x
Marina correctly simplified the expression , assuming thatHer simplifed expression is below.
Answer:
Step-by-step explanation:
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]
[tex]\frac{b^{4}}{b^{-3}}=b^{4-(-3)}=b^{4+3}=b^{7}[/tex]
Answer:
7
Step-by-step explanation:
Percentage change
….
Answer:
80%
Step-by-step explanation:
Change is (45-25)/25*100=(20/25)*100=80%
HELP PLEASEEEEEEE ASAP
Answer:
p=9
r=18
Step-by-step explanation:
the total cost of the tiles is £68 plus VAT
the rate of VAT is 20%
(b) work out 20% of £52
Answer:
a) 81-6
b) 10.4
Step-by-step explanation:
a) assuming that the VAT is 20% of the 68 pounds,
you calculate 120% of 68 (convert percentage to decimal)
= 1,20 * 68 = 81.6 pounds
or
calculate 20% of 68 pounds and add the answer to 68 pounds:
(0.2 * 68) + 68 = 81.6 pounds
b) 20% of 52
first convert the percentage to decimals:
0.2 * 52 = 10.4 pounds
x + y = 3 . If y = 3, find the value of x
Answer:
0
Step-by-step explanation:
x + y = 3
y = 3
=> x + 3 = 3
=> x = 3 - 3
=> x = 0
What is the missing angles?
Step-by-step explanation:
x = ??
y = 72 + 40 = 112
x =112 - 180
x = 180-112
x = 68
or = 180 - 72 = 108
180 - 40 = 140
140 - 108 = 32
3. Which equation has non-real solutions?
a. 5x2 - 4x – 9 = 0
b. 2x2 - X -1 = 0
c. 6x2 + 11x + 17 = 0
d. 7x2 + 4x – 7 = 0
Answer:
c
Step-by-step explanation:
because 11x + 17 = 3x