Move everything to one side and factorize by grouping.
x⁴ - 4 = x³ + 2x
x⁴ - x³ - 2x - 4 = 0
(x⁴ - 4) - (x³ + 2x) = 0
(x² - 2) (x² + 2) - x (x² + 2) = 0
(x² - x - 2) (x² + 2) = 0
(x - 2) (x + 1) (x² + 2) = 0
Then
x - 2 = 0 or x + 1 = 0 or x² + 2 = 0
x = 2 or x = -1 or x² = -2
If x is real, then the third case has no solution. Then x = 2 or x = -1. Otherwise, we can solve over the complexes and include x = ± √2 i where i = √(-1).
Use the substitution method to solve the system of equations.
5x+2y=1
Y=-x+2
Answer:
X = -1
Step-by-step explanation:
Rewrite equations:
y = -x + 2; 5x + 2y = 1
Step: Solve y = -x + 2y = 1 for y:
y = -x + 2
Step: Substitute -x + 2 for y in 5x +2y =1 :
5x +2y = 1
5x +2 (-x+2) =1
3x + 4 =1 (simplifiy both sides of the equation)
3x + 4 + - 4 = 1 + -4
(Add -4 to both sides)
3x = -3
3x/3 = -3/3 (Divide both sides by 3)
x = -1
Answer: I believe the (-1,3) is the answer! (hope this helps!)
Kendall scored 3 times as many points as Abdul scored in a basketball game.
Can someone please solve this (and if you do please explain how and why you solved it that way)
Answer:
502.4 yd^2 for the first one
Step-by-step explanation:
For the first one, because the formula to find the lateral surface value is L.S.A = 2πrh, we can then plug in the values to get this:
2(3.14)(2)(40) = 502.4 yd ^2
Using the values from the graph, compute the values for the terms given in the problem. Choose the correct answer.
Percentage of
Market Value
of Car
(solid line)
100%
90%
80%
70%
60%
50%
40%
30%
20%
10%
0%
Maintenance and Repair Costs
as Percentage of Car's Value
(dashed line)
-
-
-
0
1st
yr.
2nd
yr.
3rd
yr.
4th
yr.
5th
yr.
6th
yr.
7th
yr.
8th
YT.
9th
yr.
10th
yr.
Age of car = 6 years.
Original cost = $12,995.
The current market value is $
The original value of the car of $12,995, and 10% value and 6% repair
cost, give the actual current market value of the car as; $1,234.525.
How can the current value of the car be calculated?The market value of the car is found as follows;
The age of the car = 6 years
Original market value of the car = $12,995
The percentage of the market value after 6 years = 10%
The percentage of the value used for repairs ≈ 5%
Current market value = Book value - Cost of repair
Book value = $12,995 × 0.1 = $1,299.5
Cost of repair = $12,995 × 0.1 × 0.05 = $64.975
Current market, value = $1,299.5 - $64.975 = $1,234.525
Learn more about finding actual market value of a car here:
https://brainly.com/question/15056861
Factor the expression using the GCF.
12y - 8
do u need step by step or do u just need the answer cuz the answer is 4(3y-2)
According to the chart, how many desks are in column D?
look at image, question is in image
Answer: the incline on the graph
Step-by-step explanation:
Select all that apply.
What types of triangles have at least two acute angles?
obtuse
isosceles
equilateral
right
What is the distance from point X to point Y?
у
А
8
B
10
Y(-1,2)
Х
o
C
V117
D V136
X(9,-4)
Step-by-step explanation:
sq rt [(x1-x2)^2 + (y1-y2)^2] so let X be (x1, y1) and let Y be (y1,y2). So you get the sq. rt. of [(9- -1)^2+(-4-2)^2....so (10)^2+ 2^2 = 104 so then take [tex] \sqrt{104 = } 10.2 \\ [/tex]There are two cheese cakes in the fridge. The first cheese cake was cut into 16 slices and there are 3 slices left. The other cheese cake was cut into 10 slices and 4 slices are left. How much cheese-cake is left in the fridge.
Answer:
7 slices of cheesecake is left in the fridge
Which equation represents the graph?
Solve on your own, 15% of 7,000?
Step-by-step explanation:
15% of 7,000
[tex] \frac{15}{100} \times 7000[/tex]
[tex] = 15 \times70[/tex]
[tex] = 1050[/tex]
A car is traveling at a speed of 85mph. The diameter of the wheel is 2 feet what is the angular speed in revolutions per second
write a point slope equation for the line that goes through the point (2,-3) and has slope 4
Step-by-step explanation:
As per given Information
Slope m = 4
That line goes through the point (2,-3)
Using Point Slope Form
y - y₁ = m ( x - x₁)where,
y₁ = -3
x₁ = 2
from the given information
On putting the value we obtain
↝ y-(-3) = 4 ( x - 2)
↝ y + 3 = 4x - 8
↝ y = 4x -8 - 3
↝ y = 4x - 11
So, the point slope equation for that line is y = 4x-11 .
help me hahahahahahahhaha
Determine if true:
3^3x4=108
Answer:
True
Step-by-step explanation:
3³ x 4
= 3 x 3 x 3 x 4
= 9 x 12
= 108
True
Answer:
True
Step-by-step explanation:
3^3=27
27x4=108
108=108
The equations match.
Hence, the equation is true.
Can solve for any please and thank you
Sam must decide whether to take the train or drive his car
to work. The store where he works is 25 miles from his
house. Sam's car gets 19 miles to a gallon of gasoline. He
pays $1.20 per gallon of gasoline. A book of 34 round-trip
train tickets costs $175. Which method of transportation
will cost less per day? How much less per day?
Answer:
yes good job and a few years back to school in new York City to be the first time since I've seen this before
Roslyn is an engineer. She is designing a part for a new engine. The length of the part is 16 centimeters (cm), the width is 6 cm, and the height of the cone top is 5 cm, as shown.
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Given :-The length of the part is 16 centimeters The part of new engine is composed of 1 cone, 1 cylinder and 1 hemisphere The width of the engine is 6 cmThe height of the cone is 5 cmTo Find :-We have to find the total volume of the part Let's Begin :-Let divide the part of engine into three parts as it is composed of 3 different figures.
We know that,
Volume of cone
[tex]\bold{=}{\bold{\dfrac{ 1}{3}}}{\bold{{\pi}r^{2}h}}[/tex]
Here, we have,
The height of the cone is 5 cmThe diameter of the cone is 6 cmTherefore, Radius of the cone = 3 cmSubsitute the required values,
Volume of the first part that is cone
[tex]\sf{=}{\sf{\dfrac{ 1}{3}}}{\sf{ {\times}3.14{\times}(3)^{2}{\times}5}}[/tex]
[tex]\sf{=}{\sf{\dfrac{ 1}{3}}}{\sf{ {\times}3.14{\times}9{\times}5}}[/tex]
[tex]\sf{ = 3.14 {\times} 3 {\times} 5 }[/tex]
[tex]\sf{ = 3.14 {\times} 15 }[/tex]
[tex]\sf{ = 3.14 {\times} 15 }[/tex]
[tex]\bold{ = 47.1 cm^{3} }[/tex]
Thus, The volume of cone is 47.1 cm³ .
For second part Second part is composed of cylinderWe know that,
The volume of cylinder
[tex]\bold{ = {\pi}r^{2}h }[/tex]
Here,
The diameter of the cylinder is 6 cmSo, Radius = 3 cmThe length of the cylinder = 16 - (Length of cone + Length of hemisphere) Length = 16 - 11 = 5 cmSubsitute the required values in the above formula,
Volume of the second part that is cylinder
[tex]\sf{ = 3.14{\times} (3)^{2}{\times} 5}[/tex]
[tex]\sf{ = 3.14{\times} 9 {\times} 5}[/tex]
[tex]\sf{ = 3.14{\times} 45 }[/tex]
[tex]\bold{ = 141.3 cm^{3}}[/tex]
Thus, The volume of the cylinder is 141.3 cm³
For third partThird part is composed of hemisphereWe know that,
Volume of hemisphere
[tex]\bold{=}{\bold{\dfrac{ 2}{3}}}{\sf{ {\pi}r}}[/tex]
Here,
The diameter of the hemisphere is 6 cmSo, Radius = 3cmSubsitute the required values,
Volume of third part that is hemisphere
[tex]\sf{=}{\sf{\dfrac{ 2}{3}}}{\sf{{\times} 3.14 {\times}3}}[/tex]
[tex]\sf{ = 2 {\times} 3.14 }[/tex]
[tex]\bold{ = 6.28 cm^{3} }[/tex]
Thus, The volume of the hemisphere is 6.28 cm³
Therefore,The total volume of the part
= Volume of cone + Volume of cylinder + Volume of hemisphere
[tex]\sf{ = 47.1 + 141.3 + 6.28 }[/tex]
[tex]\sf{ = 188.4 + 6.28 }[/tex]
[tex]\sf{ = 194.68 cm^{3} }[/tex]
[tex]\bold{ = 194.7 cm^{3} }[/tex]
Hence, The total volume of the part is 194.7 cm³ .
Place the following temperatures in order from coldest to hottest: -8°C, 10°C, -5°F, 40°F
a.
-5°F, -8°C, 40°F, 10°C
b.
-5°F, -8°C, 10°C, 40°F
c.
-8°C, -5°F, 10°C, 40°F
d.
-8°C, -5°F, 40°F, 10°C
ANSWER IS A
Answer:
a. -5°F, -8°C, 40°F, 10°C
Step-by-step explanation:
-17°C is when F = 0, so -8°C is way higher than -5°F. -8°C comes right after, and 40°F is a bit lower than 10°C. You can convert F to C is °F = (C * 9/5) + 32 and you can convert C to F with (F -32) x 5/9
What is the product of 79 x 81 and explain.
Answer:
79x81 = 6399
Step-by-step explanation:
A population of a town is divided into three age classes: less than or equal to 20 years old, between 20 and 40 years old, and greater than 40 years old. After each period of 20 years, there are 80 % people of the first age class still alive, 73 % people of the second age class still alive and 54 % people of the third age Hare still alive. The average birth rate of people in the first age class during this period is 1.45 (i.e., each person in the first age class, on average, give birth to about 1.45 babies during this period); the birth rate for the second age class is 1.46, and for the third age class is 0.59, respectively. Suppose that the town, at the present, has 10932, 11087, 14878 people in the three age classes, respectively.
Answer:
1.45.1.46140_84that is answer pliess
3) Original price of a tie: $29.50
Discount: 50%
Tax: 5%
Answer:
$15.49
Step-by-step explanation:
29.50*.50=14.75
14.75*.05=.74
14.75+.74=15.49
what is 14 by 30 in its simplest form?
Answer: 7/15
Step-by-step explanation:
14 divide by 2 is 7
30 divide by 2 is 15
A map uses the scale 3/4 of an inch to represent 3 miles. If the actual
distance between two cities is 25 miles, then what is the length on the
map?
Answer:
6¼ in
Step-by-step explanation:
¾ = 0.75
25 mi ÷ 3 mi = 8.333
8.333 * 0.75 in = 6.25 in = 6¼ in
Help finding area of parallelogram
Answer:
33 in.²
Step-by-step explanation:
A = bh
A = 11*3
A = 33
Hope this helps :)
Answer:
33 in²
Step-by-step explanation:
To find the area of a parallelogram, multiply the perpendicular height by the base (it's the same as finding the area of a rectangle).
3 inches × 11 inches = 33 inches²
Hope this helps!
Given the equation 2x = 4y - 3 write another linear equation that would create a system that has the number of solutions listed
A . 0 Solutions
B . 1 Solution
C . Infinitely many solutions
Answer:
A. [tex]2x-4y=\pi[/tex]
B. [tex]x=1[/tex]
C. [tex]2x-4y=3[/tex]
Step-by-step explanation:
A. [tex]2x-4y=\pi[/tex]. Any number could work as long as the coefficients for x and y stays the same. You are basically imposing that the quantity 2x-4y (if you bring 4y to the LHS) is equal to both -3 AND [tex]\pi[/tex], or any number you like. But yesterday was 3/14 so let's pick a fun number!
B. [tex]x=1[/tex] Or [tex]y=1[/tex]. Or as long as you don't pick the same ratios of x and y you're golden. But x=1 is the easiest that comes to mind
C. [tex]2x-4y=3[/tex]. To get infinitely many solutions you just have to rewrite the equation again. Maybe move things around if you prefer, or multiply everything by a number you lile.
what is the formed of the fact family for 6,7,13 what is the answer
Answer:
7 + 6 = 13
13 = 7 + 6
13 – 6 = 7
7 = 13 – 6
Step-by-step explanation:
7 + 13 = 20
13 + 7 = 20
13 – 13 = 0
13 – 0 = 13
7 + 0 = 7
6 + 0 = 6
13 – 0 = 13
13 – 13 = 0
7 + 0 = 7
6 + 0 = 6
13 – 0 = 13
13 – 13 = 0
7 + 6 = 13
13 = 7 + 6
13 – 6 = 7
7 = 13 – 6
I HATE IMAGINE MATH
please take this answer to end your suffering
ayuda por favor
Multiplique: 329 x 684
Answer:
Multiplique 329 * 684 = 225036