Answer:
(x - 7)(x - 4)(x + 4).
Step-by-step explanation:
A(x) = x3 – 7x² – 16x +112
Dividing by x-7:
x^2 - 16 <-------- Quotient
-----------------------------
x-7)x^3 - 7x^2 - 16x + 112
x^3 - 7x^2
0 - 16x + 112
- 16x + 112
..............
so A(x) = (x - 7)(x^2 - 16) x^2 - 16 is the difference of 2 squares so we have:
(x - 7)(x - 4)(x + 4).
Checking by expanding the brackets:
(x - 7)(x - 4)(x + 4)
= x(x - 4)(x + 4) - 7(x - 4)(x + 4)
= x(x^2 - 16) - 7(x^2 - 16)
= x^3 - 16x - 7x^2 + 114
= x^3 - 7x^2 - 16x + 112
help please i need it
WILL GIVE BRAINLIEST
When you draw one marble from a bag, and don't put it back into the bag for the second draw, what kind of probability is it?
Answer:
it is a dependant event without placement
Step-by-step explanation:
you dont replace the marble so it is dependant. and without replacement is when you dont put it back in the bag
what is the greatest common factor of 22 and 121
Answer:
11
Step-by-step explanation:
Here are some temperatures. Edinburgh -5 °C Exeter 3 °C Manchester -2 °C a) Which place is the coldest? b) Give the difference in temperature between Exeter and Manchester. °C The temperature in Edinburgh falls by 2°C. c) What is the new temperature in Edinburgh? °C
Answer:A)Edinburgh B)5 degrees celsius C)-7
Step-by-step explanation:
Answer:
a) Edinburgh is the coldest
b)the difference in temperature between Exeter and Manchester is 5°C
c)-5+-2=-7 the new temperature in Edinburgh is -7
Step-by-step explanation:
Edinburgh -5 °C
Exeter 3 °C
Manchester -2 °C
A landfill has 30,000 tons of waste in it. Each month it accumulates an average of 585 more tons of waste. Let m represent the number of months.
What is a function that represents the total amount of waste after m months?
Answer:
f(m) = 585m + 30, 000
Step-by-step explanation:
First you need to set up your variable which is m which makes f(m) and since each month gives 585 tons per month we have the variable attached to that (585m). However, we already start with 30,000 so we add that in. You can check the answer by replacing m with a number, which for me I will choose 10, which gives me 35,850 which makes sense.
you have 89 apples in you car your teacher wants 46 of them how many do you have lefy?
Answer:
43
Step 89-46=43
Answer:
43 apples
Step-by-step explanation:
89-46=43
If you need to check you could do the opposite:
46+43=89
Since that checks out you know the answer would be 43.
Please give details to them all I’m not very smart lol
Answer:
Step-by-step explanation:
For number 8, to start,:
[tex]\frac{x}{4}[/tex] - 1 = 1
the first step is to add 1 to both sides of the equation; then, simplify.
[tex]\frac{x}{4}[/tex] - 1 = 1
+1 +1
----------------
next, the -1 and +1 will cancel.
[tex]\frac{x}{4}[/tex] = 2
the last step is to multiply both sides of the equation by 4.
4 · [tex]\frac{x}{4}[/tex] = 2 · 4
simplify; the 4s cancel out on the left side.
x = 8
**************************************************
For number 9, :
9 = 6 + [tex]\frac{x}{7}[/tex]
like in number 8, the first step is to subtract 6 from both sides of the equation; also, a helpful tip you can use is move the 9 to the right side; speaking personally, it often helps make things visually easier to work out. you would then rewrite the equation like: 6 + [tex]\frac{x}{7}[/tex] = 9
6 + [tex]\frac{x}{7}[/tex] = 9
now, we'd subtract 6 from both sides.
6 + [tex]\frac{x}{7}[/tex] = 9
-6 -6
-----------------
next, the 6 and -6 will cancel.
[tex]\frac{x}{7}[/tex] = 3
the last step is to multiply both sides of the equation by 7.
7 · [tex]\frac{x}{7}[/tex] = 3 · 7
simplify; the 7s cancel out on the left side.
x = 21
can u please help me
The correct answer should be 50 feet per side. I hope this helped you.
please help me quickly
no random links i will report :)
reduce each fraction by its lowest term 6/10
Answer:
2/5
Step-by-step explanation:
6/10 simplified to 2/5
Please make me brainleist i need to level up
Find the Distance rounded to a whole number.
Give the distance between (2,1) and (5,2)
Answer:
[tex]\sqrt{10}[/tex]
Step-by-step explanation:
The distance between two points can be found using the Pythagorean Theorem [tex]a^{2} + b^{2} = c^{2}[/tex].
This is because, if you connected your two points with a line, that line could be defined as the hypotenuse of a right triangle. the base of that triange is the distance between the x coordinates ([tex]x_{2} -x_{1}[/tex]) and the height by the distance between the y coordinates ([tex]y_{2} - y_{1}[/tex]). Sine these are the sides of the right triangle, they are equal to a and b above (c is the hypotenuse that we are trying to find). So, we calculate the two distances above and get 3 and 1 (for x and y respectively). 3^2 + 1^ 2 =10. So the answer is square root 10.
Please help, I’ll give Brainly
Answer:
the answer should be the third one
Step-by-step explanation:
solve for k.
k(4r−5)≥12r−9
Answer:
[tex]k = \frac{12r - 9}{4r - 5} \\ [/tex]
Step-by-step explanation:
[tex]k(4r - 5) \geqslant 12r - 9 \\ k = \frac{12r - 9}{4r - 5} \\ [/tex]
In 20 seconds, a roller coaster goes up a 100-meter hill, then down 72 meters, and then back up a 48-meter rise. What integer represents the vertical change from the start of the ride for the coaster after the 20 seconds?
The question is an illustration of arithmetic operations.
The integer that represents the vertical rise is 76
Upward movements are represented with positive, while downward movements are represented with negative.
So, the given parameters are:
[tex]Up = 100m[/tex]
[tex]Down = -72m[/tex]
[tex]Up= 48m[/tex]
The vertical rise is:
[tex]Rise = Up_1 + Down + Up_2[/tex]
So, we have:
[tex]Rise = 100m -72m +48m[/tex]
[tex]Rise = 76m[/tex]
Hence, the integer that represents the vertical rise is 76
Read more about arithmetic operations at:
https://brainly.com/question/15385899
2a-3b for a= 1/2 and b =6
Answer:
- 17
Step-by-step explanation:
Substitute the given values into the expression
2a - 3b
= 2 × [tex]\frac{1}{2}[/tex] - 3 × 6
= 1 - 18
= - 17
19 , -23 across the x axis
Answer:
correct
Step-by-step explanation:
I need Help with one and two ..?
-4d > 8 and 2d > -6 and graph
Answer:
Step-by-step explanation:
We can add like terms. Like terms are when the variables are alike, so you can add them to get a simpler form of your expression.equation.
4d and 2d are like terms, therefore, we can add them.
6d+6 is what we are left with.
Our final answer: 6d+6 is equivalent to 4d+6+2d
Answer:
Step-by-step explanation:
identify whether each if the following represents a quadratic function or not put yes or no
1. y = x² + 2
2. y = 2x - 10
3. y= 9 - 2x²
4. y = 2x + 2
5. y = 3x² + x² + 2
9514 1404 393
Answer:
yesnoyesnoyesStep-by-step explanation:
The function is quadratic if the highest degree of any term is 2. Equations 2 and 4 have degree 1, so are linear (not quadratic) functions. Equations 1, 3, and 5 have terms of degree 2 (at most), so are quadratic functions.
_____
We assume that two terms of degree 2 in equation 5 is intentional. If one of those is supposed to be of degree 3 (or more), then that function is not quadratic.
What does negative 2 over 3 > −1 indicate about the positions of negative 2 over 3 and −1 on the number line? (4 points) Group of answer choices negative 2 over 3 is located to the right of −1 negative 2 over 3 is located on the left of −1 negative 2 over 3 is located on the right of 0, and −1 is located on the left of 0 negative 2 over 3 is located on the left of 0, and −1 is located on the right of 0
Answer:
negative 2 over 3 is located to the right of -1
Step-by-step explanation:
-1 is further to the left than negative 2/3. Negative 2/3 is closer to 0.
Negative 2/3 is between -1 and 0.
These statements eliminate the other possible answers.
(4x+2)=102+44 solve for x
x = 36
3.7 - 1.8 - 3.67 + 4.4 - 1.34
Answer:
1.29
Step-by-step explanation:
Select from the drop-down menus to correctly complete the statements about the expression a8+6b .
The expression a8+6b is a
A. Sum
B. Difference
. The term a8 is an added, but it is also a
A. quotient
B. Difference
. The term 6b is an added, but it is also a
A. Sum
B. Product
Expressions are used to show relationships between variables and constants
The expression [tex]\mathbf{\frac a8 + 6b}[/tex] is a sumThe term [tex]\mathbf{\frac a8}[/tex] is a quotientThe term 6b is a product.The expression is given as:
[tex]\mathbf{\frac a8 + 6b}[/tex]
In the above expression, a/8 and 6b are added.
So, the expression [tex]\mathbf{\frac a8 + 6b}[/tex] is a sum
In [tex]\mathbf{\frac a8 }[/tex], a is divided by 8.
So, the term [tex]\mathbf{\frac a8}[/tex] is a quotient
Lastly, in 6b; 6 is multiplied by b.
So, the term 6b is a product.
Read more about expressions at:
https://brainly.com/question/22151679
in a class of 25 students 15 of them have a cat 16 have a dog and 3 of them have neither find the probability that a student at random has a cat and a dog
Answer:
Step-by-step explanation:
7 students have cats only
6 students have dogs only
9 students have dogs and cats
3 students don't have cats or dogs
+ -----------------------------------------------------
25 students in total
how do I write
[tex] \frac{7}{8} [/tex]
as a mixed number decimal?
Answer:
0.875
By dividing them
Hope it helps
Answer:
0.875
Step-by-step explanation:
[tex]\frac{7}{8} \times \frac{125}{125} =\frac{875}{1000} =0.875[/tex]
what is 1760 rounded to the nearest hundred
Answer:
1800
Step-by-step explanation:
anybody help? reporting fake answers tysm!!
Answer:
2-----10
1-----5
3-----15
Step-by-step explanation:
For every 1 cup of blue paint, there are 5 cups of yellow paint
Hope this helps!
-22 x (- 58/209) what the answer?!?!
Answer:
-22 x ( -58/209) = 116/19
Step-by-step explanation:
Write an algebraic expression into words 9m-3
Answer:
subtract 3 from the product of 9 and m
Help !! Multiply: 2w(w+17)
Answer:
2w^2 + 34w
Step-by-step explanation:
2w(w+17)
Multiply the 2w by each term in the parentheses
2w*w + 2w*17
2w^2 + 34w