Answers
Answer:
The equation in option A is correct.
Step-by-step explanation:
Given the equation
[tex]\:y=x^4+13x^2+12[/tex]
Let us find the solution by setting y=0
[tex]x^4+13x^2+12=0\:\:\:\:\:[/tex]
[tex]\mathrm{Rewrite\:the\:equation\:with\:}u=x^2\mathrm{\:and\:}u^2=x^4[/tex]
[tex]u^2+13u+12=0[/tex]
if [tex]ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]
[tex]u+1=0\quad \mathrm{or}\quad \:u+12=0[/tex]
[tex]u=-1,\:u=-12[/tex]
[tex]\mathrm{Substitute\:back}\:u=x^2,\:\mathrm{solve\:for}\:x[/tex]
[tex]x^2=-1,\:x^2=-12[/tex]
solving
[tex]x^2=-1[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{-1},\:x=-\sqrt{-1}[/tex]
[tex]x=i,\:x=-i[/tex] ∵ [tex]\:\sqrt{-1}=i[/tex]
solving
[tex]x^2=-12[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{-12},\:x=-\sqrt{-12}[/tex]
[tex]x=2\sqrt{3}i,\:x=-2\sqrt{3}i[/tex]
Hence, the solutions are:
[tex]x=i,\:x=-i,\:x=2\sqrt{3}i,\:x=-2\sqrt{3}i[/tex]
Therefore, the equation in option A is correct.
Related Questions
what the slope of(-7,-5) (5,-17)
Answers
Answer:
-1
Step-by-step explanation:
Answer:
y = -1x
Step-by-step explanation:
Find the difference,
(-7,-5) (5,-17)
12, -12
12/-12
reduce,
1/-1
-1x
Ace Carlos
AVA HEART RATE IS 65 beats per minute. If Avas heart beat 604,800 times, how many full days would have elapsed
Answers
Answer:
520 full days.
Step-by-step explanation:
Since I'm not that smart I looked up how many minutes are in a day and got a total of 1440 minutes in a day. Then I took the amount of heart beats and divided it by 1440 so we know how many full days. This is what the equation would look like: 748,800/1440.
I hope this helps:)
Describe how to use scientific notation to write a very large number. Give an example written in both standard form and scientific notation.
Answers
Answer:
Scientific notation is simply changing a number to x times 10^n, where x is no more than 10 and more than 1.
For example, 134 would be 1.34 times 10^2.
101 = 10.
102 = 100.
103 = 1,000.
104 = 10,000. When we have large numbers, we can rewrite them as powers of ten. ...
Let's Review: Scientific notation is a great way to rewrite numbers with lots of zeros so that they are easier to work with.
5x + 260 = -8x + 650 I got 75 but it was wrong
Answers
-260
then
-5x
-13x+390
-390
/-13
=
Answer:
x=30
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Which equation is true for the value b= 10?
O A.
2(b + 4) = 16
O B.
2(b + 2) = 40
O C.
3(b- 2) = 24
OD
2(8 + b) = 42
OE.
3(b - 4) = 20
Answers
Answer: C. 3(b-2)=24
Step-by-step explanation: See since b equals ten and by the rules of P.E.M.D.A.S the parenthesis/brackets comes first so 10-2 equals 8 and three times 8 is 24 therefore the answer is 24
Please answer these series of questions! I will give high points and brainliest!
A. Reduce 3/51 to its simplest terms
B. Solve 7 divided by 3 (in fractions!)
C. 19 divided by 3 (fractions)
D. Reduce 50/80 to simplest terms
E. Reduce 9/14 to simplest terms
F. Reduce 36/54 to simplest terms
G. Solve 55 divided by 12 (fractions)
H. Reduce 9/153 to simplest terms
That’s all! ( please answer correct my life is depending on it, my mom will literally beat me up )
Answers
Answer:
A: 1/17 or decimal form: 0.058
B: 7/3 or mixed #: 2 1/3
C: 19/3 or mixed #: 6 1/3
D: 5/8
E: 9/14
F:2/3
G: 55/12 or mixed #: 4 7/12
H: 1/17
Step-by-step explanation:
Convert 21.3 feet per minute to yards per minute.
Answers
Answer:
7.1 yard per min
Step-by-step explanation:
What is the slope of the line that contains these points?
x 8 11 14 17
y 36 12 -12 -36
slope:
Answers
Answer:
-8
Step-by-step explanation:
Apply slope/gradient formula: (12 - 36)/(11 - 8) = -24/3 = -8
This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), I have already posted the slope formula which you may want to save it for future reference and I'll also post some of my own notes on certain topics and also some tips that may be useful to you :)
math 6th grade
Suppose an artist is working on a painting. On Monday, he painted 1/2 of it. On Tuesday, he completed another 1/3 of the painting. What percent of the painting has yet to be done? Round your answer to the nearest whole percent.
Answers
Answer:
17%
Step-by-step explanation:
1/2+1/3=5/6,so 1/6 left. That is 16.66666666666667 or 17%..
Hope this helps plz hit the crown :D
18. Question Category: Writing Linear Functions and Equations
Select the correct answer.
What is the equation for a line that passes through the points (5,-3) and (-10,15)?
6
y =
52 – 3
y =
6
2 + 3
5
6
--
Oy= -
- 3
Oy=-=+3
Answers
Answer:
15-(-3)/(-10)-5
12/-15
3/5
y = 3/5x + b
15 = 3/5(-10) + b
15 = -6 + b
15 + 6 = b
b = 19
y = 3/5x + 19
Three more than the product of a number and 2 equals 7.
for the unknown number
Answers
Hope this helps and have a nice day/night!!!
Answer: the unknown number is 2.
Step-by-step explanation: 2x+3=7
2x=7-3
2x=4
X=2
Write the equation of the line fully simplified slope-intercept form
Answers
Answer:
y=mx+b
Step-by-step explanation:
Answer:
y = (5/2)x - 5
Step-by-step explanation:
SLOPE:
The slope is rise over run, and in this case (thanks to the graph), we can do the [difference of y] / [difference of x] pretty easily. This is 5 / 2
Y-INTERCEPT:
Y-intercept is simple: where the line touches the y-axis. This happens at y = -5.
Therefore, the equation y = (5/2)x - 5
The entrance to a museum in Paris is shaped like a square pyramid the base of the pyramid has a side length of 35 meter and the height of the pyramid is 22 meters which measurement is closest to the volume of the pyramid in cubic meter
Answers
Answer:
Step-by-step explanation:
8,983
Answer:
just to comfirm the answer it is 8,983 m, I got it right on my test
Step-by-step explanation:
I WILL GIVE YOU BRAINLIEST Simplify the expression using the distributive property.
4(3x + 2)
A. 7x + 8
B.12x + 2
C. 7x + 6
D.12x + 8
SHOW YOUR WORK PLZSSSSSSS
Answers
D
Like the other person said
Solve the following system of equations using the elimination method.
8x + 2y = 30. AND
7x + 2y = 24
A
(6,–9)
B)
(3,–12)
C)
(–6,–5)
D)
(–5,8)
Answers
Answer:
A ( 6 . -9 ) it's so easy . . .. ..
I'm lost at this point, if you can help me I'll give you 10 points..
Answers
Answer:
So all the possible solutions are:
[tex]\bold{204.4~and~217.6.}[/tex]Solution Steps:
First you need to solve the real inequality to understand how to find the rest of the possible equations.
Subtract 13.2 from both sides:
[tex]13.2-13.2=[/tex] Cancels Out[tex]217.6-13.2=204.4[/tex]So now we know the real answer, but now we must find all the possible solutions.
(Means anything greater than or equal to 217.6 when you plug it into x + 13.2 ≥ 217.6.)
Numbers that are greater than 378:
1.) [tex]204.4+13.2=217.6[/tex] ≥ [tex]217.6[/tex] (True)
2.) [tex]217.6+13.2=230.8[/tex] ≥ [tex]217.6[/tex] (True)
3.) [tex]204.3+13.2=217.5[/tex] ≥ [tex]217.6[/tex] (False)
4.) [tex]0+13.2=13.2[/tex] ≥ [tex]217.6[/tex] (False)
5.) [tex]13.2+13.2=26.4[/tex] ≥ [tex]217.6[/tex] (False)
6.) [tex]200.4+13.2=213.6[/tex] ≥ [tex]217.6[/tex] (False)
7.) [tex]-200+13.2=-186.8[/tex] ≥ [tex]217.6[/tex] (False)
8.) [tex]13.2+13.2=26.4[/tex] ≥ [tex]217.6[/tex] (False)
Now put all the numbers together to form the code.
(Could either be the numbers on the side of the table or the accumulation of all the numbers in possible solutions.)
Code:
[tex]2044,2176[/tex] or [tex]1,2[/tex]______________________________
[tex]\bold{Hope~this~helps!}\\\bold{If~you~need~help~with~anything~else,~feel~free~to~ask!}\\\\\bold{~~~~~-TotallyNotTrillex}[/tex]
A company makes a profit of $1.38 million. This is $2.54 million more than last year. Write and solve an equation to find the profit p (in millions of dollars) last year. An equation is =1.38.
Answers
Answer: Required equation : 1.38 = p +2.54
Last year profit = $ -1.16 million or we can say loss =$ 1.15 million
Step-by-step explanation:
Given : A company makes a profit of $1.38 million. This is $2.54 million more than last year.
Profit this year = 2.54 + Profit in last year
Let p = profit (in millions of dollars) last year.
Then, 1.38 = p +2.54 , is the required equation.
⇒ p = 1.38-2.54
⇒ p= -1.16, which is loss because of negative sign.
Hence, last year profit = $ -1.16 million or we can say loss =$ 1.15 million
Answer: The profit from 2021 = $ -1.16 Million ($1.16 Million loss)
Step-by-step explanation:
Profit for 2022 = $ 1.38 Million
Profit for 2021 = Profit for 2022 - $ 2.54 Million
Algebraic equation:
p2021 = p2022 -$ 2.54 Million
p2021 = $ 1.38 Million - $ 2.54 Million
p2021 = $ -1.16 Million
Plz someone help me out
Answers
Answer:
f
Step-by-step explanation:
iam not sure
best of luck
Answer:
F
Step-by-step explanation:
198/9=22 and the others are 25 24 and 23 I think but the point is they are not 22
choose the graph that represents the linear equation y = 2x + 1
Answers
Answer:
The third option is the answer.
Step-by-step explanation:
In the formula y = mx + b, using the equation given,
m = 2, which means that the line goes up 2 units and right 1 unit.b = 1, which means that the y-intercept, or where the line touches the y-axis, is 1.Answer:
the 3rd option
Step-by-step explanation:
In the formula y = tx + b, using the equation given,
t = 2, which means that the line goes up 2 units and right 1 unit.
b = 1, which means that the y-intercept, or where the line touches the y-axis, is 1.
Please help meh im so bad at this stuff lol
Answers
Answer:
40 Baskets
Step-by-step explanation:
4 baskets = 1/2 hour
? baskets = 5 hours
This means, 8 baskets = 1 hour
8 x 5 = 40
Therefore,
40 baskets = 5 hours
Answer:
40/1 baskets
Step-by-step explanation:
What are the roots of the polynomial equation XP-7x= 6x-12? Use a graphing calculator and a system of equations.
-6,6
4, 1,3
0 -3,-1,4
o 1,3
Answers
Answer: option B
Step-by-step explanation:
-4, 1, 3
The roots of the polynomial equation x³ - 7x = 6x - 12 is given by the values x = -4 , 1 , 3
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the polynomial equation be represented as A
Now , the value of A is
x³ - 7x = 6x - 12 be equation (1)
Now , it can be represented as 2 equations of the form
A = x³ - 7x be equation (2)
And , B = 6x - 12 be equation (3)
On plotting the graphs of the two equations , we get
The point of intersection of the equations is at P ( -4 , -36 ) , Q ( 1 , -6 ) and R ( 3 , 6 )
Therefore , the x coordinates of the points are x = -4 , 1 , 3
Hence , the roots of the polynomial is x = -4 , 1 , 3
To learn more about polynomial equations click :
https://brainly.com/question/13199883
#SPJ7
Gabe bought five sacks of apples each sack weighed 12 lb he paid three for each pound of apples what was the total cost of all of the apples Gabe bought
Answers
Answer:
The cost of 12lbs of apples is $36.
Step-by-step explanation:
⟹ Lets Solve!
⟹ First we must define x and y.
x is the lb's of apples and y is the cost.
⟹ Now lets form our equation.
[tex]3x = y[/tex]
[tex]x = 12[/tex]
⟹ Since gabe bought 12 pounds of apples x = 12.
⟹ Now substitute x for 12.
[tex]3x = y[/tex]
[tex]3(12)= y[/tex]
⟹ Now multiply.
[tex]36 = y[/tex]
The cost of 12lbs of apples is $36.
what is the slope of line segment 7 ?
——PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((———
Answers
Answer:
The slope is 0 because it is a straight line
Step-by-step explanation:
Answer:
undefined.
Step-by-step explanation:
You could be really formal and use the slope formula
The y values are both the same -- 4.
The x values are 3.5 and 6.5
Therefore the slope is (6.5 - 3.5) / (4 - 4)
The denominator is 0
The slope is undefined because 3/0 is not very well behaved.
A horizontal line always gives an undefined amount.
10 -9 x 5 + 6 x ( -2 ) evaluate
Answers
Answer:
-47
Step-by-step explanation:
10 -9 x 5 + 6 x ( -2 )
10-45+6 x -2
10-45-12
-35-12
-47
Find the distance between points p (-2,6) and q (4,-8)
Answers
Answer: 2√58
the distance between points p (-2,6) and q (4,-8) is [tex]\sqrt{(4-(-2))^{2}+(-8-6)^{2} } =\sqrt{6^{2} +(-14)^{2} }=2\sqrt{58}[/tex]
Step-by-step explanation:
Choose the equation that shows a step in the
process of completing the square on the given
quadratic.
y=x2 + 8x - 3
O y=x2 + 8x + 8 - 3-8
Oy=x2 + 8x + 8-3 +8
O y = x2 + 8x + 16 - 3 - 16
O y = x2 + 8x +16 - 3+16
Answers
Answer: y = x2 + 8x + 16 – 3 – 16
Step-by-step explanation:
What is this math please help ASAP
Answers
Answer:
A) A line
Step-by-step explanation:
Notice that:
x-y=4
-y=4-x
y=-4+x
y=x-4
The equation y=mx+b produces a line, so A) a line would be correct
Answer: is a line
Step-by-step explanation:
because does it have to be a line from a line
A truck is carrying 102 bushels of sweet potatoes, 101 bushels of tangerines, and 103 bushels of spaghetti squash. What is the total weight of the crops?
Answers
Answer:
306
Step-by-step explanation:
Answer:
there are 305 bushels all together on the back of the truck
Step-by-step explanation:
I cannot give you the poundage of the bushels all together because you never said how much the bushels weighed
Here are 2 functions function x——>x3——>-2——->y
Answers
What are you trying to ask?
I might be able to answer the question correctly if you'd be more specific about the question.
Which equation is a point slope form equation for line AB? y−6=−2(x+2) y−2=−2(x+2) y−2=−2(x+6) y−2=2(x+2) A graph with a line running through point A, with coordinates (-2, 6), and point B, with coordinates (2, -2)
Answers
Answer:
y-6=-2(x+2)
Step-by-step explanation: