Answer:
The other factors are: [tex](x-2)[/tex] and [tex](x^2+2x+4)[/tex]
Step-by-step explanation:
Given
Polynomial: [tex]x^4 + 2x^3 - 8x - 16[/tex]
Factor: [tex]x + 2[/tex]
Required
Find other factors
[tex]x^4 + 2x^3 - 8x - 16[/tex]
Group into two
[tex]x^4 + 2x^3 - 8x - 16 = (x^4 + 2x^3) - (8x + 16)[/tex]
Factorize:
[tex]x^4 + 2x^3 - 8x - 16 = x^3(x + 2) -8 (x + 2)[/tex]
Factor out common term
[tex]x^4 + 2x^3 - 8x - 16 = (x^3 -8)(x + 2)[/tex]
Rewrite [tex]x^3- 8[/tex] as [tex]x^3 + 2x^2 - 2x^2+ 4x - 4x - 8[/tex]
[tex]x^4 + 2x^3 - 8x - 16 = (x^3 + 2x^2 - 2x^2+ 4x - 4x - 8)(x + 2)[/tex]
Rearrange the terms
[tex]x^4 + 2x^3 - 8x - 16 = (x^3 + 2x^2 + 4x - 2x^2 - 4x - 8)(x + 2)[/tex]
Factorize
[tex]x^4 + 2x^3 - 8x - 16 = (x(x^2+2x+4)-2(x^2+2x+4))(x + 2)[/tex]
Factor out [tex](x^2+2x+4)[/tex]
[tex]x^4 + 2x^3 - 8x - 16 = (x-2)(x^2+2x+4)(x + 2)[/tex]
So, the other factors are: [tex](x-2)[/tex] and [tex](x^2+2x+4)[/tex]
Which statements are true? Check all that apply.
Answer:
A is in Quadrant I
D is in Quadrant III
Step-by-step explanation:
State if the two triangles are congruent. If they are, state how you know.
Gina shows the steps she took to find the solution of the inequality below.
Describe the error that Gina made and write the correct solution.
19 - 2(1 – x) < 13
19 - 2 + 2x < 13
2x < -4
X > -2
Answer:
hello,2 th made from the wrong place.
because She should have distributed the -2 inside the parentheses.
the process should be like this;
19-2(1-x)<13
17(1-x)<13
17-17x<13
-17x<13-17 (17 goes to the opposite side as -17)
-17x<-4 (we divide each side by 17)
x= -4/-17
I hope you understand. There are errors in the first 2 parts of the question.
Oliver didn't have any money to play a game at the fair. He borrowed four dollars from Annie and told her he'd pay her next week once he got his allowance. After paying for the game, what number represents the amount of money Oliver has now?
Answer:
He practicably stole her money
Step-by-step explanation:
that scu m bag
Answer:
Step-by-step explanation:
If Oliver just played the game he has $0 dollars but in terms of debt, he has -$4.
If ADEF is reflected over the x-axis, what would be the coordinates of point F?
Answer:
Please check the explanation.
Step-by-step explanation:
Let the coordinates of the point F be (x, y).
When a point F(x, y) is reflected over the x-axis, the x-coordinate of the point F remains the same, and the y-coordinate of the point reverses the sign.
Thus, the rule of reflection over the x-axis:
F(x, y) → F'(x, -y)
Here,
F'(x, -y) would be coordinates of point F after the reflection over the x-axis.
Let say, the point F(1, 2).
The coordinate of the point F after the reflection over the x-axis would be:
F(1, 2) → F'(1, -2)
Thus, F'(1, -2) would be the coordinates of point F after the reflection over the x-axis.
y > 5X-7 solid or dotted line
Answer:
Dotted line
Step-by-step explanation:
when using the > or < symbols you put a dotted line because the line is not included in the shaded area.
If the symbols were a < or a > you would put a solid line.
The denominator of a basketball is approximately 9 inches. what is the volume?
Answer: v=43πr3 where r is the radius. You have the diameter, that is the double of the radius, so r=92=4.5 inches. v=43π4.53=381.69 cubic inches.
Answer:
381.7
Step-by-step explanation:
to get the volume of a sphere the formula is:
V=4 /3πr3
(remember basketball isn't a circle because it is 3-d)
you plug in the radius to that formula and boom you got your answer!
(remember radius is half the diameter, and half of 9 is 4.5)
so your answer would be:
381.7
Find the area, to the nearest hundredth, of the figure
Answer:
Step-by-step explanation:
hypotenuse = √(14.4² + 6²) = √243.36 = 15.6 mi
area of triangle = 0.5×6×14.4 = 43.2 mi²
radius of semicircle = 15.6/2 = 7.8
area of semicircle = πr² = 60.84π mi²
total area = 43.2 + 60.84π ≅ 234.33 mi²
Write an expression using only a whole number base
And a whole number exponent to model 9•9•9•9•9.
Answer:
The answer for both is in the screenshot
pls help I will mark
Answer:
2x (2 or 2/1)
Step-by-step explanation:
The slope is 2/1, or 2x because the height between any two given intercepting points is two times higher than it is far.
Take for example the intercepting points at (6, 1) and (7, 3). Since slope is rise/run, the slope has risen 2 and 'run' 1. This makes the slope 2/1.
Math Help plz. I cant figure it out.
Answer:-1 1/3 because 5 1/3+-4 1/6 is like subtracting them as a positive and you get 1 1/6 then subtract 2 1/2 to get -1 1/3
Step-by-step explanation:
How is adding and subtracting rational numbers similar and different than adding and subtracting integers?
Answer and explanation:
A rational number is a number that can expressed as fraction where the demoninator of the fraction is not zero, example 2/3, 5/1, 4/6 etc
An integer is a whole number, negative or positive example - 2, 3, -4, 1 etc
Adding and subtracting integers and rational numbers are not very much different. Most numbers are rational numbers anyway. When adding rational numbers 1/2+3/1 for instance, we simply add them like normal fractions:
1/2+3/1= 1+6/2=7/2=2 1/2
When adding intergers 2+4, we add normally as in the number line = 6
A roller 2 m long has a diameter 140 cm. To level a play ground it takes 350 complete revolutions. Determine the cost of levelling the playground at the rate of
75 paise per square meter.
Diameter of a roller = 140 cm
Radius of the roller :
[tex] =\tt \frac{diameter}{2} [/tex]
[tex] =\tt \frac{140}{2} [/tex]
[tex] = \tt70 \: cm[/tex]
Thus, the radius of the roller = 70 cm
Height of roller = 2 m = 2×100 cm = 200 cm
Curved surface area of roller = 1 revolution
The curved surface area of this roller :
[tex] =\tt 2\pi rh[/tex]
[tex] = \tt2 \times 3.14 \times 70 \times 200[/tex]
[tex] =\tt87920 \: {cm}^{2} [/tex]
Thus, the curved surface area of the roller = 87920 cm²
Number of revolutions that needs to be done to level the ground = 350
Distance the roller will travel to get leveled :
[tex] =\tt 87920 \times 350[/tex]
[tex] = \tt43960000 \: cm[/tex]
[tex] = \tt \frac{43960000}{100} \: m[/tex]
[tex] = \tt439600 \: m[/tex]
Thus, to level the playground the distance the roller should cover = 539600 m
Cost of covering one square meter of land = 75 Paise
Cost of covering 539600 m of land :
[tex] =\tt 539600 \times \frac{75}{100} \: Rs[/tex]
[tex] = \tt \frac{539600 \times 75}{100} \: Rs[/tex]
[tex] =\tt \frac{40470000}{100} \: Rs[/tex]
[tex]\color{plum} = \tt\bold{404700 \: rupees}[/tex]
Therefore :▪︎The cost of leveling the playground = 404700 Rs
if y/z=4/7, then z/y=
Answer:
z/y = 7/4
Step-by-step explanation:
In y/z = 4/7, the numerator and denominator correspond with each other
So, y =4 and z = 7
1. x(2x-5) = 0
2. 2t(t-8)= 0
3. 6x(2x+1) = 0
4. (r+2) (r+13) = 0
5. (h-4) (h-10) = 0
Answer:
whats the question??
Step-by-step explanation:
i can probably answer
I need help with my math homework.
Answer:
answer to question a!
Hours Miles
0 15,000
1 15,065
2 15,130
3 15,195
4 15,260
5 15,325
answer to question b!
I notice that every hour the miles go up 65 miles.
answer to question c!
It will read 65 miles more than n.
Drag each label to the correct location on the graph, NOT ALL TILES WILL BE USE
Darren hires a cab. The graph represents how much it will cost Darren in dollar terms of the number of miles he travels in the cab. identify the values and expressions represented in the graphed function.
3.5
2.5
6
2.5+3.5x
3.5+2.5x
6+2.5x
NOT ALL TILES WILL BE USED
Answer: y = 3.5+2.5x
The rate of change is 2.5 dollars per mile
The intial value is 3.5
Step-by-step explanation:
Answer:
Answer: y = 3.5+2.5x
The rate of change is 2.5 dollars per mile
The intial value is 3.5
Step-by-step explanation:
Got it right on a test
can u please help me with this
Answer:
d) centimeters
cat average height is 23-25 cm
if you would write it in meters it would be 0.23-0.25 m
in mm 230-250mm
Its just the most convinient
PLS I NEED HELP NOW!!!
Answer:
The third answer
Step-by-step explanation:
Rate of change is slope which is 10 for the first one and you can use rise over run to find slope for the graph
i need help with 9th grade work
Answer: h(-1) is -3.
Step-by-step explanation: Given that the input of the function is -1, we can subsitute that for x.
2(-1) - 1
= -2 - 1
= -3.
Answer:
h (-1)
-3
Step-by-step explanation:
h (-1) = 2 (-1) - 1
simplify 2.. (-1) - 1
answer= -3
PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!
A rectangular pyramid has a volume of 216 in³. A rectangular prism has the same height as the rectangular pyramid and a base that is congruent to the base of the rectangular pyramid.
What is the relationship between the volume of the rectangular pyramid and the rectangular prism?
A.The volume of a rectangular prism is 2 times the volume of a rectangular pyramid. The volume of the rectangular prism is 432 in3.
B.The volume of a rectangular prism is 13 the volume of a rectangular pyramid. The volume of the rectangular prism is 72 in3.
C.The volume of a rectangular prism is 12 the volume of a rectangular pyramid. The volume of the rectangular prism is 108 in3.
D.The volume of a rectangular prism is 3 times the volume of a rectangular pyramid. The volume of the rectangular prism is 648 in3.
The relationship between a prism and a pyramid is the volume of a rectangular prism is 3 times the volume of a rectangular pyramid. The volume of the rectangular prism is 648 in3.
What is a rectangular prism?A rectangular prism is a 3-dimensional object. It has six rectangular faces . It has 8 vertices, 6 faces, and 12 edges. The volume of a rectangular prism = width x height x length
What is a rectangular pyramid?A rectangular pyramid is a three-dimensional object. It is made up of a rectangular base and a triangular face. The volume of a rectangular pyramid = 1/3(width x height x length )
To learn more about rectangle pyramid, please check: https://brainly.com/question/9222686
Answer:
It is C
Step-by-step explanation:I Have the exact answer on my test
A truck driver can travel 200 miles in 3 days.
At that rate, how far will he travel in 12 days?
Answer: the answer is 6000
Step-by-step explanation:
The division is one of the four fundamental arithmetic operations. The distance travelled by the driver in 12 days is 800 miles.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
A truck driver can travel 200 miles in 3 days. Therefore, the distance which the truck can travel in one day is,
Distance in a day = 200miles/3day = 66.6667 miles/day
The distance that the truck can travel in 12 days are,
Distance = 66.6667miles/day ×12 day = 800 miles
Hence, the distance travelled by the driver in 12 days is 800 miles.
Learn more about Division:
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a hot air balloon goes 350 feet into the air and drifts east 600 feet how far id the balloon from the launch point
I just need the numbers and rule. I can’t fail this thank u sm if u help me :)
Answer:
I believe other question is right
Step-by-step explanation:
Round 43.827 to the nearest hundredth.
Answer:
43.83
Step-by-step explanation:
if the 3rd digit to the right of the decimal (the hundredths place) is higher than 4 you round the 2nd digit to the right of the decimal (the tenths place ) up by 1 number and if the 3rd digit to the right of the decimal (the hundredths place ) is less than 4 you round the 2nd digit to the right of the decimal (the tenths place) down by 1.
Answer:
43.83
Step-by-step explanation:
be cause the 7 is bigger than 2 and you make the 2 into 3.
In a square, a diagonal measures 15 inches. Find the perimeter
María vendió en la cafetería 35 buñuelos a $1.500 cada uno, 23 empanadas a $1.200 cada una, 12 arepas a
$1.100 cada una, ¿cuánto recibió María por la venta del día?
Answer:
93.300
Step-by-step explanation:
(35•1.5) +(23•1.2)+(12•1.1)
Simone is buying pies for a party. One cherry pie costs $7, and one apple pie costs $5.
If Simone needs to buy at least 18 pies and has no more than $110 to spend, what is the maximum number of cherry pies she can buy?
Answer:
the answer is 15
Step-by-step explanation:
because 110÷7$
The maximum number of 15 cherry pies she can buy.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Simone is buying pies for a party.
One cherry pie costs $7,
and one apple pie costs $5.
If Simone needs to buy at least 18 pies and has no more than $110 to spend,
the maximum number of cherry pies,
= 110/7
= 15.71.
If 15 cherry pies, then 3 apple pies.
The total amount = 15 x 7 + 3 x 5
= 110
Therefore, 15 is the maximum number.
To learn more about the division;
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can someone help me?
Answer:
No
Step-by-step explanation:
It appears the only way to talk to you is by answering your questions...so whatever.
Fan activity though? Really? Worst excuse ever. Ew.
[tex]\left \{ {{5x-3y=-8} \atop {xy=12}} \right.[/tex]
I don't understand the equation, please someone explain me how to resolve.
Answer:
[tex]\left \{ {{5x-3y=-8} \atop {xy=12}} \right.\\\\<=>\left \{ {{5x=3y-8} \atop {xy=12}} \right.\\\\<=>\left \{ {{5x=3y-8} \atop {5xy=60}} \right.\\\\<=>\left \{ {{5x=3y-8} \atop {(3y-8)y=60}} \right.\\\\<=>\left \{ {{5x=3y-8} \atop {3y^{2}-8y -60=0}} \right.\\\\<=>\left \{ {{5x=3y-8} \atop {3y^{2}-18y+10y-60 =0}} \right.\\\\\\<=>\left \{ {{5x=3y-8} \atop {3y(y-6)+10(y-6)=0}} \right.\\\\<=>\left \{ {{5x=3y-8} \atop {(3y+10)(y-6)=0}} \right.\\\\[/tex]
<=> 5x = 3y - 8
3y + 10 = 0 or y - 6 = 0
<=> 5x = 3y - 8
y = -10/3 or y = 6
+) with y = -10/3 => 5x = -10 - 8 <=> 5x = -18 <=> x = -3.6
+) with y = 6 => 5x = 3.6 - 10 = 8 <=> x = 8/5 = 1.6
Step-by-step explanation: