Product of two polynomials can be done by distribution of multiplication over addition. The product of [tex](x+5)(x-5) = x^2 - 25[/tex]
What is distributive property of multiplication over addition?Suppose a, b and c are three numbers. Then we have:
[tex]a(b + c) = a\times b + a\times c[/tex]
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
The product result of the given expression is obtained as:
[tex](x+5)(x-5) = x(x - 5) + 5(x - 5) \\\\(x+5)(x-5) = x^{1+1} - 5x + 5x - 25 = x^2 - 25[/tex]
Thus,
The product of [tex](x+5)(x-5) = x^2 - 25[/tex]
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i need help with this
Answer:
it should be d.
Step-by-step explanation:
volume of a cone = π x r² x h
volume = π x 4.5² x 3.5
volume = π x 70.825
volume = 222.66 cubic metres
witch product is less than
[tex] \frac{5}{8} [/tex]
Answer:
Everything that is lower than 5/8.Step-by-step explanation:
It's pretty obvious.
You need to add 2 fractions up.
If it's lower than 5/8, then you are correct.
WILL GIVE BRAINLIEST
Consider this equation and inequality. "-x/3+7=4" and "-x/3+7<4" (a)Solve the equation and inequality and show your work.
Answer: equation: x=9 inequality: x>9
Step-by-step explanation: screenshots
3(4n-1)-3
facterD
( form
Answer: thats hard
Step-by-step explanation:
Answer:
6(2n-1)
explanation:
→ 3(4n-1)-3
→ 4n(3)-1(3)-3
→ 12n-3-3
→ 12n-6
→ 6(2n-1)
I NEED HELP ASAP!!! EXPLAIN YOUR ANSWER to PLEASE!!!
Answer:
Group 1
Group 2
Groups 1 and 2 together
Group 4
Group 4
Step-by-step explanation:
We are looking for the number of children than can ride safely with 4 adults.
Since 4 adults are already seated, A = 4.
We substitute 4 for A in the inequality and solve for C.
150A + 100C + 200 ≤ 1500
150(4) + 100C + 200 ≤ 1500
600 + 100C + 200 ≤ 1500
100C + 800 ≤ 1500
100C ≤ 700
C ≤ 7
Up to 7 children can ride.
Answer:
Group 1
Group 2
Groups 1 and 2 together
Group 4
Group 4
What are the zeros of the polynomial function?
f(x)=x2+9x−70
Enter your answers in the boxes.
HELP PLEASE
What percent of 600 is 3 3/4?
Enter your percent as a fraction in simplest form by filling in the boxes.
Answer:
0.625%
Step-by-step explanation:
3 3/4 = 3.75
3.75 ÷ 600 × 100 = 0.625
The tile along the edge of a triangular community pool needs to be replaced. A right triangles, where the hypotenuse is labeled 8 x squared, the height is labeled 4 x squared 15, and the base is labeled 8 x 10. Which expression represents the total perimeter of the pool edge? 12x2 15 20x2 25 12x2 8x 25 24x2 16x 50.
Perimeter of a closed figure is the sum of length of its outline. The perimeter of the consider triangular pool is: [tex]12x^2 + 8x + 25[/tex] units.
How to calculate perimeter of a triangular figure?Perimeter of a triangle = Sum of lengths of all its 3 sides.
For the given case, we have:
Length of first side(hypotenuse) = [tex]8x^2[/tex] units
Height = [tex]4x^2 + 15[/tex] units
Base is of length [tex]8x + 10[/tex]
Thus, its perimeter is calculated as:
Perimeter of a triangle = Sum of lengths of all its 3 sides.
Perimeter = [tex]8x^2 + 4x^2 + 15 + 8x + 10 = (8+4)x^2 + 8x + 25 = 12x^2 + 8x + 25[/tex] units
Perimeter = [tex]12x^2 + 8x + 25[/tex] units
Thus,
The perimeter of the consider triangular pool is: [tex]12x^2 + 8x + 25[/tex] units.
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Answer:
12x2 + 8x + 25
Step-by-step explanation:
i said so
Bob is saving $250 to buy a new pair of AirPods. He already has $50. Bob is going to save $20 each week until he has enough money to purchase the AirPods.
HELP!!!!!!!!!!!!!! I'LL GIVE 20 POINTS!!!!!!!!
Which statement is true about the effects of the transformations on the graph of function f to obtain the graph of function g.
g(x) = f(x) + 4
A.
The graph of function f is shifted up 4 units.
B.
The graph of function f is compressed vertically toward the x-axis by a factor of 4.
C.
The graph of function f is stretched vertically away from the x-axis by a factor of 4.
D.
The graph of function f is shifted down 4 units.
Answer:
A
Step-by-step explanation:
The constant 4 is positive so the graph is shifted up by 4 units. If it was instead -4, then the graph would have been shifted down 4 units
emily bought 4 pounds of grapes for $20 .find the unit price A)$5 B)15 c)1 D)20
Answer:
(a)5
Step-by-step explanation:
$20 ÷4 pounds of grapes = $5
Which of these are polygons?
Answer:
B , C , D are polygons.I need help with 5and6
Answer:
5) [tex]x^2+151x-264[/tex]
6)[tex]-30a^3-27a^2b+30ab^2+18b^3[/tex]
Step-by-step explanation:
3)
Which describes the slope of the line in the graph?
A)
zero
B)
positive
negative
D)
undefined
Answer:
C. Negative
Step-by-step explanation:
The line is not horizontal or vertical, therefore we the slope cannot be zero or undefined.
This leaves us with either positive or negative...
A positive slope goes from the lower left corner (Quadrant 3) of the graph up to the upper right (Quadrant 1).
A negative slope goes from the upper left corner (Quadrant 2) of the graph down to the lower right (Quadrant 4).
Since this line goes from the upper left corner to the lower right, it has a negative slope
PLSS HELP
Using the above rule, extract the square roots of the given quadratic equation.
(x + 5)2 = 18
x + 6 = IV
x + 6 = 13
Step-by-step explanation:
[tex] \sqrt{(x + 6) ^{2} } = \sqrt{18} \\ x + 6 = + - \sqrt{18} \\ x + 6 = + - \sqrt[3]{2} [/tex]
What is the exact value of cot
co (3 pie/4)?
Answer:
cot (3ocπ/4)⠀⠀
Factor the expression. 40a + 45
Answer:
5(8a + 9)
Step-by-step explanation:
40 and 45 can both be divided by 5, so this is a common factor.
-> 40 divided by 5 is 8
[] It has a variable, so it will be 8a
-> 45 divided by 5 is 9
Our final answer is 5(8a + 9)
-> To check we can multiply it out, 5 * 8a is 40a, 5 * 9 = 45
-> This works
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
list a example of a irrational number like any irrational number
The number pi is a famous irrational number since we cannot represent it as a fraction of two integers. Pi is approximately equal to 3.14159. The decimal digits go on forever without any pattern.
Another irrational number would be [tex]\sqrt{2}[/tex] which is approximately equal to 1.4142; the decimal digits for this number also go on forever without any pattern.
simplify this expression
Iris paid $120.00 for a winter coat. She saved
25% off the original price.
What was the original price of the coat?
Answer:
$160, or answer A
Step-by-step explanation:
If 120 is 25% of the original, or 0.25 of the original(We will call it x), then 120 is 0.75x.
Form an equation like this: 0.75x=120
Turn this into fractions: 3/4x=120/1.
Divide by 3/4 on both sides.
x = 120/1 * 4/3
Simplify to get: 40/1 * 4/1
Multiply to get: 160
The original price of the coat is $160.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given. Iris paid $120 for a winter coat.
She saved 25% off the original price .
We have 4 options $160, $150, $145 and $30.
Now let $160 is the original price,
25% of 160 = 160 x 25 / 100
= $40
Therefore, the original price of the coat is $160.
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Jana had a bake sale raising money for the March of Dimes Foundation. She sold 30 bags of popcorn and made $90. She sold 15 chocolate chip cookies and made $20. She sold 80 sodas and made $160. She sold 50 bags of chips and made $90. Find the unit price of each item. What was the MOST EXPENSIVE item she sold?
Answer:
popcorn was the most expensive at 3 dollars
Step-by-step explanation:
90/30=3 each
20/15=1.3 each
160/80=2 each
90/50=1.8 each
Answer:
popcorn 3 dollars I am pretty sure it's right
the difference between 9 and a number
Answer:
9-4=5
Step-by-step explanation:
Answer:
x=9-y or 9-y=x
Step-by-step explanation:
difference means subtract so nine minus a number equals this number
4. Find m2ABD.
B
(9x -22)
it
(6x - 7) -
A
D
С
Answer:
23°
Step-by-step explanation:
There is not enough information given in this diagram to provide values for the marked angles. In order to solve the problem, we must assume some relation between those angles.
If they are equal, then ...
9x -22 = 6x -7
3x = 15 . . . . . . . . . . add 22-6x to both sides
x = 5 . . . . . . . . divide both sides by 3
m∠ABD = (9x -22)° = (9·5 -22)° = 23°
can a triangle have sides with lengths 2cm, 5cm and 3cm?
The variables y and x have a proportional relationship, and y = 7 when x = 2. What is the value of y when x = 5? Enter your answer as a decimal in the box.
Answer:
y = 17.5
Step-by-step explanation:
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x = k or y = kx
Find the value of the constant k
we have:
y = 7 and x = 2
substitute
7/2 = k
k = 3.5
Thus, the equation is equal to
y = 3.5x
Find the value of y when x = 5
substitute in the equation
y = 3.5(5) = 17.5
Or we can put as:
y = 7 * 5 /2
Calculate the product or quotient: y = 35/2
Answer = 17.5
[RevyBreeze]
Answer:
y = 17.5
Step-by-step explanation:
If y is proportional to x, then:
[tex]y = kx[/tex] (for some constant k)
Given y = 7 when x = 2:
⇒ 7 = 2k
⇒ k = 3.5
Therefore, [tex]y=3.5x[/tex]
So when x = 5:
⇒ y = 3.5 x 5
⇒ y = 17.5
Guys I’m sorry for so many questions I’m not smart
But anyway can y’all help me plz
Answer:
Its B
Step-by-step explanation:
The answer is B
pls give brainlest thanks
Jess walked from her home to her friend’s house and arrived at 4.15. If it took Jess 25 minutes to walk this distance, then what time did she leave home?
Select one:
a. 3.55
b. 3.45
c. 3.50
d. 3.05
1. In this figure, the unshaded region represents a painting and the shaded region represents a frame around the painting. All angles are night angles 6 in. 10 in 9.5 in 13.5 in (a) What is the area of the painting? Show your work (b) What is the area of the frame? Show your work Answer:
The area of a shape is the amount of space on the shape
The area of the painting is 60 square inchesThe area of the frame is 60.25 square inchesHow to determine the area of the paintingFrom the question, the dimension of the painting is 6 inches by 10 inches
So, the area of the painting is:
Area = 6 * 10
Area = 60 square inches
Hence, the area of the painting is 60 square inches
How to determine the area of the frameFrom the question, the dimension of the picture is 9.5 inches by 13.5 inches
So, the area of the picture is:
Area = 9.5 * 13.5
Area = 128.25 square inches
The area of the frame is the difference between the area of the picture and the painting.
So, we have:
Frame = 128.25 - 60
Frame = 68.25
Hence, the area of the frame is 60.25 square inches
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How do I solve 6x-15+52=11x-12?
Answer:
x = 49/5 (fraction)
Step-by-step explanation:
Add and subtract the numbers: -15 + 52 =37
6x+37=11x-12
Subtract 37 on both sides:
6x+37-37=11x-12-37
Simplify:
6x=11x-49
Subtract 11x from both sides:
6x-11x=11x-49-11x
Simplify:
-5x=-49
Divide both sides by -5
-5x/-5=-49/-5
= 49/5
what’s the slope of this