3. Determine which of the following functions below have (x + 6) as a factor.
Select all that apply.
( 2x3 - 19x2 - 7x + 294
0 4x3 + 11x2 - 75x + 18
3x3 + 34x2 + 61% -- 210
x3 + 6x2 + 11x + 6
10x3 + 53x2 - 41x + 6
Answer:
B, C, and E
Step-by-step explanation:
Since x+6 has the root x=-6, we should be getting 0 after plugging it into each expression by the Remainder Theorem:
[tex]2x^3-19x^2-7x+294\\2(-6)^3-19(-6)^2-7(-6)+294\\2(-216)-19(36)+42+294\\-432-684+42+294\\-780[/tex] <-- remainder isn't 0; A is out
[tex]4x^3 + 11x^2 - 75x + 18\\4(-6)^3+11(-6)^2-75(-6)+18\\4(-216)+11(36)+450+18\\-864+396+468\\-864+864\\0[/tex]<-- remainder IS 0; B is a correct choice
[tex]3x^3 + 34x^2 + 61x - 210\\3(-6)^3+34(-6)^2+61(-6)-210\\3(-216)+34(36)-366-210\\-648+1224-366-210\\576-366-210\\210-210\\0[/tex]<-- remainder IS 0; C is a correct choice
[tex]x^3 + 6x^2 + 11x + 6\\(-6)^3+6(-6)^2+11(-6)+6\\-216+6(36)-66+6\\-216+216-60\\-60[/tex]<-- remainder isn't 0; D is out
[tex]10x^3 + 53x^2 - 41x + 6\\10(-6)^3+53(-6)^2-41(-6)+6\\10(-216)+53(36)+246+6\\-2160+1908+252\\-252+252\\0[/tex]<-- remainder IS 0; E is a correct choice
Thus, the correct choices are B, C, and E.
There are 3 barrels in the garden. The first barrel contains 12 1/5 liters of water. The second barrel contains 2 1/4 liters less water than the first one, and the third barrel contains 4 5/6 liters water more than the second barrel. What is the the total volume of the water in three barrel together?
Answer:
36 5/6 liters
Step-by-step explanation:
There was a whole lot of math put into it that I don't wanna type, but long story short, I had to combine 12 1/5, 9 19/20, and 14 47/60. Up above is the final answer that I got.
HELPPP 50pts!!!
the next model of a sports car will cost 11.2% less than the current model. the current model costs $48,000. how much will the price decrease in dollars? what will be the price of the next model?
Decrease in price: $?
Price of model: $?
Let that be x
Current cost=48000[tex]\\ \sf\longmapsto x=48000-0.112(48000)[/tex]
[tex]\\ \sf\longmapsto x=48000-5376[/tex]
[tex]\\ \sf\longmapsto x=42624\$[/tex]
Answer:
Decrease in price: $5,376
Price of next model: $42,624
Step-by-step explanation:
Decrease in Price
Find 11.2% of $48,000
First, convert 11.2% into a decimal:
⇒ 11.2% = 11.2/100 = 0.112
Multiply this by $48,000:
⇒ 0.112 × 48000 = $5376
Therefore, the decrease in price is $5,376
Price of next model
price of next model = current price - 11.2%
= 48000 - 5376
= $42,624
Therefore, the price of the next model is $42,624
One and two step equations
7x-2=-9
Plz asap can y’all explain step by step plzzz it’s for a homework
Answer:
Step 1: Add 2 to both sides.
7x−2+2=−9+2
7x=−7
Step 2: Divide both sides by 7.
7x/7 = -7/7
Answer: x=−1
Answer:
x=-1
Step-by-step explanation:
7x-2=-9 (Given)
7x=-7 (Add 2 on both sides to eliminate he -2 on the left side)
x=-1 (Divide both sides with 7 to eliminate the 7 in 7x)
Answer: x=-1
Find the volume of this cylinder height 27 and base 34 use 3.14 for pie
Answer:
V≈21790.09
Step-by-step explanation:
Volume of a cylinder equals V=π*r^2*h. Find the radius by taking the base and dividing it by 2 (34/2=17). Plug numbers into equation. π·17^2·24.
in.
What is the perimeter of this tile?
in2
10 in.
8 in.
6 in.
and in exponent 2 or just inch
Answer:
24 inches
Step-by-step explanation:
10+8+6=24
In inches because it is not the area of the figure.
Anyone please help ASAP???!!!
Answer:
2 and 8
Step-by-step explanation:
multiply the denominator to equal the other fraction and do the same for the denominator
0 divided by 0
the answer we've all been waiting for
Answer:
It’s NULL
Step-by-step explanation:
VOID TERM NOT FOUND “NULL” ERASING DATA
Answer:
0
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP
A crate of egg cartons holds 8 cartons
of eggs. Each carton has a dozen
eggs. How many eggs are in 5 crates?
Answer:
480 eggs
Step-by-step explanation:
Given;
A crate of egg cartons holds 8 cartons of eggs.
Each carton has a dozen eggs.
To Find;
How many eggs are in 5 crates?
Note;
Dozen eggs = 12 egg
Solve;
Thus, Dozen eggs × Carton of eggs × many eggs are in crates
→ 12 × 8 × 5
→ 96 × 5
→ = 480
[RevyBreeze]
What is the measure of
Answer:
45°
Step-by-step explanation:
16 - 2t = 3/2 t + 9 .
Answer:
t=2
Step-by-step explanation:
Start by subtracting 9 from both sides. You'll get 7-2t=3/2t. I made 3/2 a mixed number, so 1 1/2. You should have 7-2t=1 1/2t. Add 2t to both sides, because the 2t is negative. You should have 7=3 1/2t. Last step is to divide 3 1/2 into both sides. 7 divided by 3 1/2 is equal to 2, so t=2
Please help.
What is 7/8 divided by 6/8
Simplify your answer.
Hey there!
7/8÷6/8=?
Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
7/8×8/6=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
7×8/8×6=56/48
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 56 and 48 using
GCF(56,48) = 8
56÷8/48÷8=76
The fraction
7/6
is the same as
7÷6
Convert to a mixed number using
long division for 7 ÷ 6 = 1R1, so
7/6= [tex]1 \frac{1}{6} [/tex]
Therefore:
7/8÷6/8= 1 1/6
Let's do
[tex]\\ \bf\hookrightarrow \dfrac{7}{8}\div \dfrac{6}{8}[/tex]
[tex]\\ \bf\hookrightarrow \dfrac{7}{8}\times \dfrac{8}{6}[/tex]
[tex]\\ \bf\hookrightarrow \dfrac{7}{8}\times \dfrac{4}{3}[/tex]
Cancel 4 and 8[tex]\\ \bf\hookrightarrow \dfrac{7}{2}\times \dfrac{1}{3}[/tex]
[tex]\\ \bf\hookrightarrow \dfrac{7}{6}[/tex]
Classify the triangle by its sides.
Answer:
A. Scalene
Step-by-step explanation:
Scalene triangles have sides where none of them are the same length.
This triangle does not have any sides which are the same length.
How many whole numbers are between 0 and n+7? n is a whole number.
Answer:
At least 7 since 0 is a whole number the lowest n+7 can be is 0+7= 7 and there is seven numbers in between 0 and seven.
Step-by-step explanation:
A cylinder has a height of 8 millimeters. Its volume is 5,652 cubic millimeters. What is the radius of the cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
15.0
Step-by-step explanation:
V = pi×r^2×h
so r = 15.0
Simplify the following expression completely.
x2 + 6x + 9
—————-
x2 + 2x - 3
Answer:
The answer is that image below. If it isn't correct, I'm sorry.
Point A'(2,3) is the image of A(3,-4) under a translation. Determine the translation. Use non-negative numbers. A translation by units to the right/left and units up/down
Answer:
1 unit left
7 units up
Step-by-step explanation:
2/3 of a hippos life is spent underwater, the rest of their life out of water is separated into grazing, sleeping and socialising in the ratio 4:7:1. The average life of a hippo is 45 years, how long will it spend doing each of these activities?
Answer:
Under water is 2/3×45= 30yrs
So rest is 1/3
1/3 is divide in 12 parts
1/3÷12=1/36
Grazing is 4/36×45= 5yrs
Sleeping is 7/36×45=8.75yrs
Socialising is 1/36×45=1.25yrs
9. 4,3,1, -2,...
What is the next number in the pattern
factor the polynomial 4x^4-20x^2-3x^2+15 by grouping. what is the resulting expression?
Answer:
(4x^2-3)(x^2-5)
Step-by-step explanation:
We are going to group the first two and last two terms and find the GCF of each set.
4x^4-20x^2-3x^2+15
(4x^4-20x^2)(-3x^2+15)
4x^2(x^2-5)-3(x^2-5)
Then we group the GFCs together and the rest
(4x^2-3)(x^2-5)
A roll of tape is 30 yards. How many feet long is that roll of tape?
Solve with explanation please
Answer:
Length of the rectangular lot = 60 meters
Width of the rectangular lot = 30 meters
Step-by-step explanation:
Let the width of the rectangular lot be x meters.
So, Length of the same = 2x metres.
[tex]A(rectangular \:lot) = (2x)(x)[/tex]
[tex]\implies A(rectangular \:lot) = 2x^2[/tex]
When length is increasEd by 40 m and width by 6 m. Then....
New length = [tex](2x + 40) \:m[/tex]
New width =[tex](x + 6) \:m[/tex]
According to the question:
[tex](2x + 40)(x + 6) = 2(2x^2)[/tex]
[tex]\implies 2x(x + 6) + 40(x + 6) - 4x^2=0[/tex]
[tex]\implies 2x^2+12x + 40x + 240 - 4x^2=0[/tex]
[tex]\implies 2x^2- 4x^2+12x + 40x + 240 =0[/tex]
[tex]\implies -2x^2+52x + 240 =0[/tex]
[tex]\implies 2(x^2-26x - 120) =0[/tex]
[tex]\implies x^2-26x - 120=0[/tex]
[tex]\implies x^2-30x+4x - 120=0[/tex]
[tex]\implies x(x-30)+4(x - 30)=0[/tex]
[tex]\implies (x-30)(x+4)=0[/tex]
[tex]\implies x-30=0,\: x+4=0[/tex]
[tex]\implies x=30,\: x=-4[/tex]
Since, x represents the side length, so its value can't be negative.
[tex]\implies x=30[/tex]
[tex]\implies 2x=2(30)=60[/tex]
Thus,
Length of the rectangular lot = 60 meters
Width of the rectangular lot = 30 meters
Select the three
Statements that represent a unit rate
Answer:
I think so Option C is the correct answer
I think it will help you
The dimensions of this figure are changed so that the new surface area is exactly 13 what it was originally.
What is the new surface area?
Enter your answer as a decimal in the box.
ft²
Complex solid composed of rectangular prisms in an L shape. The bottom face is labeled with a length of 14.9 ft. The height of the shorter side of the L shape is labeled 5 ft. The height between the shorter side and taller side of the L shape is labeled 9.8 ft. The length of the of the taller section of the L shape is labeled 6.1 ft and the width is labeled 4.9 ft.
The new surface area of the figure that is 1 / 3 of the original size is 198.79 ft².
What is surface area?The surface area of a solid is a measure of the total area occupied by the surface of an object.
Therefore, the surface area of the figure can be calculated as follows:
surface area = (5 × 6.1) + (5 × 10) + (9.8 × 6.1) + (4.9 × 6.1) + (10 × 5) + (14.8 × 4.9) + (10 × 5) + (14.8 × 4.9) + (14.8 × 6.1) + (14.9 × 6.1)
surface area = 30.5 + 50 + 59.78 + 29.89 + 50 + 72.52 + 50 + 72.52 + 90.28 + 90.89
original surface area = 596.38 ft²
Therefore,
New surface area = 1 / 3 × 596.38
New surface area = 198.793333333
New surface area = 198.79 ft²
learn more on surface area here: https://brainly.com/question/26157329
It's 202.46 dude above me is tripping
Step-by-step explanation:
5.12 divided by 35.75
Answer:
please explain further so i can help.
Step-by-step explanation:
Twice the difference between a number and 10 is equal to 6 times the number 13!
What do the four yellow tiles in the model of the equation below represent?
-4
4
- 4x
4x
Answer:
4x
Step-by-step explanation:
Enter the first 4 terms of the sequence defined by the given rule. Assume that the domain of each function is the set of whole numbers greater than 0.
f(n)=n3-7
The first 4 terms of the sequence are______,______,______,_______.
Given:
The given rule is
[tex]f(n)=n^3-7[/tex]
Domain of the function is the set of whole numbers greater than 0.
To find:
The first 4 terms of the sequence.
Solution:
We have,
[tex]f(n)=n^3-7[/tex]
Domain of the function is the set of whole numbers greater than 0. So, the domain for first four terms of the sequence are 1, 2, 3 and 4 respectively.
For n=1,
[tex]f(1)=(1)^3-7[/tex]
[tex]f(1)=1-7[/tex]
[tex]f(1)=-6[/tex]
For n=2,
[tex]f(2)=(2)^3-7[/tex]
[tex]f(2)=8-7[/tex]
[tex]f(2)=1[/tex]
For n=3,
[tex]f(3)=(3)^3-7[/tex]
[tex]f(3)=27-7[/tex]
[tex]f(3)=20[/tex]
For n=4,
[tex]f(4)=(4)^3-7[/tex]
[tex]f(4)=64-7[/tex]
[tex]f(4)=57[/tex]
Therefore, the first 4 terms of the sequence are -6, 1, 20, 57 respectively.
if a =-7 and b=-16, What is The value of a-b
Answer:
Step-by-step explanation:
a-b=(-7)-(-16)=-7+16=9
James
Batches of brownie
Answer:
Step-by-step explanation: