Answer:
[tex]x=\pm 3\text{ or } x=\pm 2i[/tex]
Step-by-step explanation:
So we have the equation:
[tex]x^4-5x^2-36=0[/tex]
Let's let u equal x² so:
[tex]u^2-5u-36=0[/tex]
Factor. We can use -9 and 4. So:
[tex]u^2+4u-9u-36=0[/tex]
From the first two terms, factor out a u.
From the last two terms, factor out a -9. So:
[tex]u(u+4)-9(u+4)=0[/tex]
Grouping:
[tex](u-9)(u+4)=0[/tex]
Zero Product Property:
[tex]u-9=0 \text{ or } u+4=0[/tex]
On the left, add 9. On the right, subtract 4:
[tex]u=9\text{ or } u=-4[/tex]
Substitute back u:
[tex]x^2=9\text{ or } x^2=-4[/tex]
Take the square root:
[tex]x=\pm 3\text{ or } x=\pm 2i[/tex]
And we're done!
Our answer is the Second option.
Answer:
B). x = ±2i and x = ±3
Step-by-step explanation:
Jack works at a sporting goods store and makes a commission of 20 percent. His sales for each week are shown below. How much did Jack make in total in commission during all four weeks?
Week
Sales
1
$3,000
2
$2,500
3
$3,500
4
$4,000
$200.00
$260.00
$2,000.00
$2,600.00
Answer: The answer is D 2,6000.00
Answer:
D
Step-by-step explanation:
74°F, 65°F, 71°F, 65°F. 68°F, 78°F, 72°F. 67°F
What is the mean absolute deviation of this data set?
Answer:
3.75jgfbvuekdfb
Step-by-step explanation:
Multiply (3)x(−4)x(2).
Answer:
-24x²
Step-by-step explanation:
remove the parentheses, multiply the numbers, apply exponent rule and add the numbers
A map scale shows that 3 km = 2 cm. How many cm would represent 15 km on the map?
cm
Answer:
3 = 2
15 = 10
10 cm
Step-by-step explanation:
Point L is on line segment KM . Given KM = 5x + 10 , LM = 4x , and KL = 3x , determine the numerical length of KL
Answer:15
I know Bc I got it wrong that was the answer
if I am 9 years old how old will i be in 29 years
Answer:
YOU will be 38 yrs old, but I will be 29 years older than my 29 year-younger self
Step-by-step explanation:
Answer:
you would be 38
Step-by-step explanation:
29 plus 9 equals 38
find the midpoint of a line segment with the given endpoints.(8,-3) (-8,1)
Answer:
(0,-1)
Step-by-step explanation:
how to subtract 5/8 from 1 7/8
Answer:
7/8 - 5/8 = 2/8. Therefore the answer is 1 2/8.
Step-by-step explanation:
Answer: 1 2/8
Step-by-step explanation:
you take away 5 from seven so it becomes 2 then you put the 8 under and you still keep the one there
Please help!! 2/3x-7=x
Answer:
-21
Step-by-step explanation:
Answer:
i know its already been answered but yes, it is -21
Step-by-step explanation:
hope it helps, can anyone look at my most recent question? i'll appreciate it
A plumber charges $65 per hour to fix a leak. What is an equation that relates to the total cost of a leak repair c to the number of hours h it takes the plumber to fix the leak?
Answer:
The equation is C = 65h
Solve:
3(x - 2) = 18
Answer:
Standard form:
3x − 24 = 0
Factorization:
3(x − 8) = 0
Solutions:
x = 24
3
= 8
Step-by-step explanation:
Hope this helps? :))
[tex]\large\tt Step-by-step~explanation:[/tex]
To solve for x, we have to isolate the variable.
[tex]\tt Step~1:[/tex]
First, we distribute 3 to (x - 2) because when there are parentheses with terms inside it next to another term, then we have to multiply them together.
[tex]\tt 3*x=3x\\3*-2=-6\\3x-6=18[/tex]
[tex]\tt Step~2:[/tex]
Next, we add six on the left side of the equation to cancel out - 6. We also add 6 to the right, because we have to do whatever we do on both sides of the equation.
[tex]\tt 3x-6(+6)=18(+6)\\3x=24[/tex]
[tex]\tt Step~3:[/tex]
Finally, we divide both sides by 3 to isolate x and get our answer.
[tex]\tt \frac{3x}{3}=x\\\frac{24}{3}=8\\x=8[/tex]
[tex]\large\boxed{\tt Our~final~answer: ~x=8}[/tex]
means to find the only possible answer.
[ 28 - (16 + 3) ] ÷ 3
Answer:
3
Step-by-step explanation:
By order of PEMDAS, perform math within parentheses first.
[tex](28 - 19) \div 3[/tex]
Continue with PEMDAS
[tex](9) \div 3[/tex]
Now, simply divide
[tex]9 \div 3 = 3[/tex]
There are 12p calories in a 3/4 cup serving of cereal. How many Calories are there in 6 cups of cereal?
Answer:
960 calories in 6 cups of cereal
Step-by-step explanation:
Answer:96
Step-by-step explanation:
16 is in the 4/4 and 16 x 6 is 96
how do i solve the equation [tex](2a^{3} b^{4}c^{0})^{3}[/tex]
Answer:
[tex]8\frac{-2x}{-2}=\frac{0}{-2}[/tex]
Step-by-step explanation:
[tex]\left(2a^3b^4c^0\right)^3[/tex]
Cube each portion:
[tex]2^3\left(a^3\right)^3\left(b^4\right)^3\left(c^0\right)^3[/tex]
[tex]8\left(a^3\right)^3\left(b^4\right)^3\left(c^0\right)^3[/tex]
[tex]8a^9\left(b^4\right)^3\left(c^0\right)^3[/tex]
[tex]8a^9b^{12}\left(c^0\right)^3[/tex]
[tex]8a^9b^{12}\times1[/tex]
[tex]8a^9b^{12}[/tex]
Use elimination to solve and match each system of equations to the correct solution
9x+4y=-72
2x-3y=-16
Answer:
Step-by-step explanation:
27x + 12y = -216
8x - 12y = -64
35x = -280
x= -8
2(-8) - 3y = -16
-16 - 3y = -16
-3y = 0
y = 0
(-8, 0)
Use the number line to find the coordinate of the midpoint of segment DE
Answer:
x1+x2/2
7+11/2
18/2=9
Step-by-step explanation:
The midpoint of segment DE is 9 units.
It is required to find the midpoint of segment DE.
What is midpoint ?The midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.
Given:
By mid point formula we get,
The midpoint formula is applied when one is required to find the exact center point between two defined points.
The coordinate of point D is 7 units.
The coordinate of point E is 11 units.
According to given question we have,
The midpoint of segment DE
[tex]=\frac{x_{1} +x_{2} }{2} \\=(7+11)/2\\\\=18/2\\\\=9[/tex]
Therefore , the midpoint of segment DE is 9 units.
Learn more details about midpoint here:
https://brainly.com/question/28224145
#SPJ2
Evaluate the expression for x=4
3x^2
Answer:
Step-by-step explanation:
x = 4
3x^2
3(4)^2
3(16)= 48
When Bryan was 11 years old he was 150.25 centimeters tall. For the next 4 years, he grew 65 centimeters a year. How tall was Bryan when he was 15 years old? Help PLEASE
Step-by-step explanation:
He grew 65cm a year??? Omg
I think it is
65cm x 4(years)= 260cm
150.25 + 260= 410.25cm
So, when he was 15 years old he was 410.25cm tall
8cm 10cm 10cm 12cm 34cm what’s the volume
Solve 2 s 2x + 4 < 10 for x.
Answer:
x=2
Step-by-step explanation:
2x2 =4
4+4=8
8<10
Can someone help me?
Answer:
3 and 6 5and 4
Step-by-step explanation:
The area of a trapezoid is given by the formula A 1/2= (b 1 + b 2)h, solve the formula for h
h=A 6/b or 6 divided b = h
Solve for x: 2x−7=5x+8
a square patio has an area of 200 square ft. how long is each side of the patio to the nearest foot? please answer quickly! will give brainliest.
Answer:
100
Step-by-step explanation:
cause they its 100
Answer:
14 feet
Step-by-step explanation:
Use the square area formula, A = s², where s is the side length
Plug in the area and solve for s:
A = s²
200 = s²
14 = s
So, each side of the patio is 14 feet
Use elimination to solve the system of equations. 2x+y=4 and -4x-2y=8
Answer: No solution
Step-by-step explanation:
To use elimination method, we need to choose a variable to eliminate. Let's eliminate x. To eliminate x, the x coefficient in both equations must be the same, regardless of the sign. To do so, let's multiply the first equation by 2.
(2x+y=4)2
-4x-2y=8
-------------------------------------------------------------------------------------------------------------
4x+2y=8
-4x-2y=8
Let's add both equations together.
0=8
-------------------------------------------------------------------------------------------------------------
Now that we got this far, we can see that something is wrong. This normally doesn't happen. If you notice, the second equation is the first equation but multiplied by 2. Instead, let's rewrite each equation.
2x+y=4 [subtract both sides by 2x]
y=-2x+4
-4x-2y=8 [add both sides by 4x]
-2y=4x+8 [divide both sides by -2]
y=-2x-4
-------------------------------------------------------------------------------------------------------------
If you analyze both equations, you will see that they are parallel lines. We know this because the slopes are the same, but different y-intercept. from our knowledge of parallel lines, they NEVER touch or cross. This means there would be no solution at all.
The candle maker makes a total of 454545 orange candles. This is 30\%30%30, percent of all the candles she made this week. How many candles did the candle maker make this week?
Answer:
150 candles
Step-by-step explanation:
Problem
3x + 5 + 2x = 12 + 4x
Answer:
x=7
Step-by-step explanation:
because u add the like terms so
3x+2x
which would be
5× so now its
5x+5=12+4x
-4. -4
x+5=12
-5. -5
x=7
Please answer these with lots of detail. I want to be able to understand the topic and material well.
Step-by-step explanation:
Q3
(a) If 0 < |x − 1| < δ, then |f(x) − 2| < 2
What this means is, how far can x stray from the x=1 line such that f(x) stays within 2 units of the y=2 line (0 < f(x) < 4).
If we move 2 units left of x=1, we get f(x) = 4.
If we move about 3.5 units right of x=1, we get f(x) = 4.
Therefore, δ can't be more than 2.
(b) If 0 < |x| < δ, then |f(x) − 3| < 1
What this means is, how far can x stray from the x=0 line such that f(x) stays within 1 unit of the y=3 line (2 < f(x) < 4).
If we move 1 unit left of x=0, we get f(x) = 4.
If we move 1 unts right of x=0, we get f(x) = 2.
Therefore, δ can't be more than 1.
Since f(x) isn't continuous within this domain, we can't conclude that the limit exists.
Q4
(a) Yes. If δ = 0.25, then 0.75 < x < 1.25, and f(x) > 200.
(b) No. f(1) = 300, so even if δ = 0, f(x) will be less than 400.
(c) Yes. If δ ≈ 0.1, then 0.9 < x < 1, and f(x) > 450.
Give 3 expressions equivalent to the expression 24x+60