The other roots of the given polynomial equation are 2 and -2.
Given polynomial equation is:
[tex]x^{6} -16x^{2} =4x^{4} -64[/tex].....(1)
What is a polynomial?A polynomial is the sum of monomials of the form axⁿ where n is a whole number.
Rewriting the (1) as:
[tex]x^{6} -4x^{4} -16x^{2} +64=0[/tex]
[tex]x^{4} (x^{2} -4)-16(x^{2} -4)=0[/tex]
[tex](x^{2} -4)(x^{4} -16)=0[/tex]
[tex]x^{2} -4=0[/tex]
[tex]x^{2} =4[/tex]
[tex]x=2[/tex]
[tex]x=-2[/tex]
So, the other roots are 2 and -2.
Hence, the other roots of the given polynomial equation are 2 and -2.
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Answer:
its b
Step-by-step explanation:
took it
Two brothers, Farley and Dave, have different amounts of money in their wallets at the beginning of a month. The graph shown compares the amounts of money, in dollars, they have in their wallets over a given amount of time in days.
how many days does it take for Farley and Dave to have the same amount of money
only two day are left as u can see the graph from 40 percent to to percent
Can anyone help with this? Which Triangle has a point at its Centroid?
Answer: A
Step-by-step explanation:
A centroid is the intersection point of the medians (which are the lines that connect a vertex of a triangle to the midpoint of the opposite side)
Delta Math:Angle Terminology with Equations
Answer:
∠A = 94°
Step-by-step explanation:
Two angles are called supplementary when their measures add up to 180°.
Therefore, if ∠A and ∠B are supplementary:
⇒ ∠A + ∠B = 180
⇒ (2x + 10) + (2x + 2) = 180
⇒ 4x + 12 = 180
⇒ 4x = 168
⇒ x = 42
To find ∠A, substitute found value of x into the expression for ∠A:
⇒ ∠A = 2(42) + 10 = 94°
Homer and Marge are in the 28% tax bracket. Their joint taxable income is $139,450. If the first $16,050 is taxed at 10%, with the remainder at 28%, how much tax will they owe?
$36,157
$139,450-$16,050=123,400
123,400×28% (or .28)=34,552
16,050×10% (or .10)=1,605
34,552+1,605=$36,157
HELLPPPPPPPPPPPP!!!!!!!!!!!!! I NEED HELP I GOT 1 MIN OR LESS
Find the surface area of a square pyramid with base edges of 8 feet. The height of each lateral face is 15 feet. Explain or show how you got your answer.
[tex]\sf\large\underline{\star Given:-}[/tex]
[tex]\rightarrow[/tex] Measure of its each edge = [tex]\sf\red{8feet.}[/tex]
[tex]\rightarrow[/tex] Height of each lateral surface (or slant height) = [tex]\sf\red{15feet.}[/tex]
[tex]\sf\large\underline{\star To\: Find:-}[/tex]
Surface area of the given square pyramid.[tex]\sf\large\underline{\star Formula \:Used:-}[/tex]
[tex]\rightarrow[/tex] Surface Area of square pyramid = [tex]\sf\blue{a^2+2al}[/tex]
Where,
[tex]\sf\pink{a^2}[/tex] [tex]\sf{=\: Area \: of\: base.}[/tex]
[tex]\sf\pink{a}[/tex][tex]\sf{=\: Side \:of \:the\: base.}[/tex]
[tex]\sf\pink{l}[/tex][tex]\sf{=\: Slant \:height}[/tex]
[tex]\sf\large\underline{\star Solution:-}[/tex]
[tex]\rightarrow[/tex] Surface Area of square pyramid = [tex]\sf{a^2+2al}[/tex](putting the value of [tex]\sf{a^2}[/tex], a and l)
[tex]\rightarrow[/tex] [tex]\sf{=\: 8^2+2(8×15)}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{=\: 304feet^2}[/tex]
Therefore, surface area of the given square pyramid [tex]\sf\purple{=\: 304feet^2.}[/tex]
___________________________________
Hope it helps you:)
Which equation represents a linear function rule for the following set of ordered pairs?
x y
1 -1
2 -4
3 -7
A. y = -3x + 2
B. y = -3x - 2
C. y = -2x + 3
D. y = -2x - 3
The equation that represents the linear function for the set of ordered pairs is: A. y = -3x + 2.
What is the Equation of a Linear Function?Equation of a linear function, where m is the slope and b is the y-intercept, is expressed as y = mx + b.
Find the slope (m):
Slope (m) = change in y/change in x = (-7 -(-4)) / (3 - 2)
Slope (m) = -3/1 = -3
Find b by substituting m = -3 and (1, -1) = (x, y) into y = mx + b:
-1 = -3(1) + b
-1 = -3 + b
-1 + 3 = b
2 = b
b = 2
Substitute m = -3 and b = 2 into y = mx + b
y = -3(x) + 2
y = -3x + 2
Therefore, the equation that represents the linear function for the set of ordered pairs is: A. y = -3x + 2.
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Answer:
Step-by-step explanation:
A
If the perimeter of a square is
72 inches, what is its area?
a. 72 in. 2
b. 324 in.2
C. 18 in.2
d. 5,184 in. 2
Answer: B
Step-by-step explanation:
A=a2
P=4a
Solving forA
A=1
16P2=1
16·722= 324in²
Jeremy is making a blueprint of a building. He is using
a scale of 1 in.:3 ft. One wall of a room measures 33
feet. How long will he draw it in his blueprint?
Find mIJ
A. 100°
B. 110°
C. 150°
D. 2500
Answer:
c is the answer try C
Step-by-step explanation:
Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h.
A. h(2) = 16
B. h(13) = 18
C. h(8) = 21
D. h(-3) = -1
Answer:h(13) = 18
Step-by-step explanation:
Six increased by product of x and four is 22. What is x?
Answer: 4
Step-by-step explanation:
Terms: Increased means adding, a product means multiplication.
1. Convert it into an equation: 6+4x=22
2. Then subtract 6 from the left side and pass it to the right to get 22-6= 16. Now, you have 4x=16.
3. Then you want to leave the x alone, so you divide both sides of the equation by 4.
4. Therefore, your answer is 4!
Hope this helps :)
In HPE and GKJ, Which of the following would be enough to prove FPH ~ JKG?
[tex]\frac{KJ}{JG} = \frac{PF}{FH}[/tex]
======================================================
Explanation:
Refer to the drawing below. I started off with the original diagram given, then I split up the triangles HPF (red) and GKJ (blue)
We're given that [tex]\angle GJK \cong \angle HFP[/tex]. If we had another congruent pair of angles, then we could use the AA (angle angle) similarity theorem to prove the triangles are similar. However, none of the answer choices mention another pair of congruent angles. Choices A and B are very close, but the [tex]\sim[/tex] should be [tex]\cong[/tex] instead. So we rule them out.
Focus on triangle GJK. Notice how the sides KJ and JG are surrounding the angle GJK. In other words, angle GJK is sandwiched between sides KJ and JG. Similarly, angle HFP is sandwiched between sides PF and FH in triangle HFP.
If we knew that the ratios KJ/JG and PF/FH were the same, then that would be enough info to use the SAS (side angle side) similarity theorem to prove the triangles similar. So that's why we go for [tex]\frac{KJ}{JG} = \frac{PF}{FH}[/tex]
There are other possible ways to write that equation.
Earth is orbiting the sun at
67,000 miles per hour. The
fastest jet ever clocked 4,520
miles per hour.
How many
times faster is
Earth than the
fastest jet?
Answer: 62480
Step-by-step explanation
you write down 67000 than subtract 4520 ,scrach the seven and make it a six and ad that 1 to the first zero scranche that out and make it nine add it to the next zero now ,0-0=0 , 10-2=8 ,9-5=4,4-6=2, move the 6 down you now have 62480 mph
"The sum of 4 and a number,
divided by 2 is less than -6."
Transferring word problems to inequality
Answer:
The sum of 4 and a number
4+x
Divided by 2 is less than -6
4+x/2<-6
☆anvipatel77☆
•Expert•
Brainly Community Contributor
Help asap
Directions: Use the information in the chart to answer the questions.
Juice Containers
250 milliliters of lemonade
500 milliliters of orange juice
250 milliliters of grape
250 milliliters of apple juice
500 milliliters of cranberry juice
500 milliliter’s of pineapple juice
Design your own fruit punch recipe for brunch! Your recipe must create
exactly 5 liters of punch and include at least three of the juices. Also be sure
to include how many containers of each juice you need. Show your work by
writing equations that show how you determined the capacity.
Your fruit punch recipe can be composed of 4 juice containers of lemonade, 2 juice containers of orange juice, 2 juice containers of grape juice, 2 juice containers of apple juice, 2 juice containers of cranberry juice, and 2 juice containers of pineapple juice.
Unit conversionUnit conversion is a tool very useful to solve some questions. For this exercise, you should know that 1 liter (l) = 1000 milliliters (ml).
The question asks you a design your own fruit punch recipe with exactly 5 liters of punch and includes at least three of the juice.
You have several options, an alternative is to use all juices.
Step 1 - Convert the units for each given juice containers250 milliliters of lemonade = 0.250 l of lemonade juice
500 milliliters of orange juice = 0.500 l of orange juice
250 milliliters of grape juice = 0.250 l of grape juice
250 milliliters of apple juice= 0.250 l of apple juice
500 milliliters of cranberry juice = 0.500 l of cranberry juice
500 milliliter’s of pineapple juice = 0.500 l of pineapple juice
Step 2 -Design your own fruit punch recipe with exactly 5 liters4 juice containers of lemonade = 4* 0.250 l = 1 l of lemonade
2 juice containers of orange juice= 2* 0.500 l = 1 l of orange juice
2 juice containers of grape juice= 2* 0.250 l = 0.500 l of grape juice
2 juice containers of apple juice= 2* 0.250 l = 0.500 l of apple juice
2 juice containers of cranberry juice= 2* 0.500 l = 1 l of cranberry juice
2 juice containers of pineapple juice= 2* 0.500 l = 1 l pineapple juice
Thus, your own fruit punch recipe is composed of: 4 juice containers of lemonade, 2 juice containers of orange juice, 2 juice containers of grape juice, 2 juice containers of apple juice, 2 juice containers of cranberry juice, and 2 juice containers of pineapple juice.
Read more about the unit conversion for capacity here:
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help me please need help missing lengths
Answer:
Step-by-step explanation:
Ratio of side of the 30-60-90 triangle is x : x√3 : 2x
Side opposite to 30° is the shortest leg and it is a
Side opposite to 60° is the longest leg and it is a√3
side opposite to 90° is hypotenuse and it is 2a and it the longest side.
7) a = 8 (Which is opposite to 30°)
w = 2a = 2*8
w = 16
v = √3a = √3 *8
v = 8√3
8) a√3 = 5√3 (Which opposite to 60°)
a = 5√3 ÷√3
y = a ⇒y= 5
x = 2a
= 2*5
x = 10
9) hypotenuse = 10
2a = 10
a = 10 ÷ 2
a = 5
x = a√3
x = 5√3
y = a
y = 5
pls pls help me!!!!!!
Answer:
1
Step-by-step explanation:
On the Graph, When X is 4, Y is 1.
Hope This Helps! :) Please give brainliest if you can!
Crop yield is the ratio of the number of bushels harvested to the number of acres used for the harvest. This year, a large farm harvested rice from 690 acres of farmland. The crop yield was 7,553 bushels per acre. Approximately how many bushels of rice were harvested?.
The amount of rice harvested this year from 690 acres of farmland was 5211570 bushels
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
This year, a large farm harvested rice from 690 acres of farmland. The crop yield was 7,553 bushels per acre.
Hence:
Amount of rice harvested = 7,553 bushels per acre * 690 acres = 5211570 bushels
The amount of rice harvested this year from 690 acres of farmland was 5211570 bushels
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Answer: B
Step-by-step explanation:
if on edg just took the quiz
BIG BRAIN BRAINLY ANSWERS I REALLY NEED YOUR HELP!!!!!!!!!!!!! What's 4 + 4 and also are Ritz crackers are good?
Answer:4
Step-by-step explanation:
and ritz crackers are pretty good
Solve for X question 17
Answer:
The answer is x=2, -2
Step-by-step explanation:
The explanation is in the pic.
Answer:
[tex]X^2=2[/tex]
The tiny two means square, meaning multiply the number behind it by itself.
First, start with exponents, in this case, squares.
[tex]2*2=4[/tex]
Second, yet last, multiply eight by four.
[tex]8*4=32[/tex]
With that information, your answer is [tex]2[/tex]
Someone please help me
Answer:
9&3
Step-by-step explanation:
I went and used the internet.....
An art museum had two hundred ninety-two pictures to split equally into seven different
exhibits. How many more pictures would they need to make sure each exhibit had the
same amount?
Answer:
2
Step-by-step explanation:294/7=42
Worth 60 points
Consider the following system of equations:
y = -x + 2
y = 3x + 1
Which description best describes the solution to the system of equations?
Line y = -x + 2 intersects line y = 3x + 1
Lines y = -x + 2 and y = 3x + 1 intersect the x-axis.
Lines y = -x + 2 and y = 3x + 1 intersect the Y-axis
Line y = -x + 2 intersects the origin
Answer:
Line y = -x + 2 intersects line y = 3x + 1
Step-by-step explanation:
The solution to a system of equations is the point at which the two lines intersect. To find this point, first equate the equations and solve for x:
[tex]\begin{aligned}y & = y\\-x + 2 & = 3x + 1\\-x+2+x & = 3x+1+x\\2 & = 4x + 1\\2-1 & =4x+1-1\\1 &=4x\\x & =\dfrac14\end{aligned}[/tex]
Substitute the found value of x into one of the equations, and solve for y:
[tex]y=3\left(\dfrac14\right)+1=\dfrac74[/tex]
Therefore, the solution to the system of equations (the point at which the two lines intersect) is:
[tex]\left(\dfrac14,\dfrac74\right)[/tex]
So the description that best describes the solution to the system of equations is:
Line y = -x + 2 intersects line y = 3x + 1
solve cos+1/under root 3 sin A = 1
Answer:
0; 60; 360°.
Step-by-step explanation:
1) to solve the given equation without limitation;
2) to apply the given limitation to the solution of the given equation.
all the details are provided in the attachment. The answer is marked with red colour.
Note, the provided way is not the shortest one.
According to projections through the year 2030, the population y of the given state in year x is approximated by
State A: - 5x+y=11,400
State B: -143x +y = 9,000
where x = 0 corresponds to the year 2000 and y is in thousands. In what year do the two states have the same population?
Answer:
In the year 2026 population of both the states will be the same.
Step-by-step explanation:
It has been given in the question that the population y of State A in year x will be represented by the equation
-3x + y = 11,400
⇒ y = 11,400 + 3x --------(1)
Similarly, an equation that represents the population for State B is
-138x + y = 8,000
⇒ y = 138x + 8,000 -------(2)
If population y for both the states are equal then
3x + 11,400 = 138x + 8,000
11400 - 8000 = 138x - 3x
135x = 3400
x = 25.19 [After 25 years ]
Since x = 0 represents the population of the states in the year 2000
therefore, population y will be the same in both the states in the year (2000 + 26)
= 2026
Multiply: (x−5)(x 6) simplify and write your answer in standard form. hint standard form: ax2 bx c
Answer:
x^2 + x + 30
Step-by-step explanation:
I am assuming the second one is (x + 6).
Answer: x^2 + x - 30.
Step-by-step explanation: i took the test and put the answer the person above me gave and it was incorrect.
WILL GIVE BRAINLIEST! how do you figure out how to graph this. i’m so lost. explain??
Answer:
Make a table of values. Take numbers starting from 0 and plug them for t. This way you will get values for d. Since your answer is 3, you don't have a lot to plug in and calculate. Then make a graph where t is on the x-axis and d is on the y-axis. According to your d values you can make intervals of 10s, 20s or even 100s. Lastly just plot your data.
This is what I usually do and it works out fine.
Help pls help I need yelp
Answer:
A.
Step-by-step explanation:
Hope this helps.
pls give me brainiliest
True or false: at any zero-eigenvalue bifurcation in two dimensions, the nullclines always intersect tangentially. (Hint: Consider the geometrical meaning of the rows in the Jacobian matrix.)
Answer:
True
Step-by-step explanation:
Trust
1. the ratios below show the ratios of green marbles to white marbles in 4 jars.
jar 1 - 3:4 jar 2 - 6:7 jar 3 - 11:12 jar4 - 5:6
a jar 1
b jar 3
c jar 2
d jar 4
Answer:
If you are looking for the least and the most, the answer for the least would be 3:4 and for the most 11:12
Step-by-step explanation: