Answer:
[tex]x+\sqrt{x+3}=3+3\sqrt{1-x}[/tex]
[tex]Remove~ Square ~root[/tex]
[tex]-36x^3+252x^2-540x+324=[/tex]
[tex]x^4-32x^3+286x^2-480x+225[/tex]
[tex]Now ~\mathrm{Switch\:sides}[/tex]
[tex]x^2-6x\sqrt{-x+1}-15x+18\sqrt{-x+1}+18=x+3[/tex]
[tex]\mathrm{Subtract\:}x^2-15x\mathrm{\:from\:both\:sides}[/tex]
[tex]x^2-6x\sqrt{-x+1}-15x+18\sqrt{-x+1}+18-\left(x^2-15x\right)=[/tex]
[tex]x+3-\left(x^2-15x\right)[/tex]
[tex]New ~Simplify[/tex]
[tex]-6x\sqrt{-x+1}+18\sqrt{-x+1}+18=-x^2+16x+3[/tex]
[tex]Subtract ~18~ from ~ both~ sides[/tex]
[tex]-6x\sqrt{-x+1}+18\sqrt{-x+1}+18-18=-x^2+16x+3-18[/tex]
[tex]Simplify[/tex]
[tex]-6x\sqrt{-x+1}+18\sqrt{-x+1}=-x^2+16x-15[/tex]
[tex]Now~ factor:[/tex]
[tex]-6x\sqrt{-x+1}+18\sqrt{-x+1}(-x+3)[/tex]
[tex]6\sqrt{-x+1}\left(-x+3\right)=-x^2+16x-15[/tex]
[tex]Solve~~-36x^{3}+252x^{2} -540x+324=x^{4} -32x^{3} +286x^{2} -480x+225=[/tex]
[tex]x=1,\:x=-3[/tex]
-----------------------hope it helps..have a nice day/nightHELP ASAP PLS I NEED HELP
Answer:
B
Step-by-step explanation:
r^2 is 0.9997, and after 10 years it'll be 95660
can someone help please...
Answer:
the answer is median (b)
Which graph shows the solution to the system of linear inequalities?
x+5y>5
Y<2x+4
PLEASE HELP!!!
Answer:
x+5y >5 => red
y< 2x+4 => blue
Step-by-step explanation:
you can substitute x and y in each inequality to determine
pls help me i need help asap 30!! points pls help on all 4 questions
Answer:
b
d
a
d
Step-by-step explanation:
These two lines represent a system of equations.
What is the solution to that system?
Help ?
Answer: (-1,1)
Step-by-step explanation: Look at the intersection point of the lines
Which number could represent point Z
Solve for x.
2/5 ≤ x-4
2/5 ≤ x-4
0.4 ≤ x-4
let's just add 4 on both sides
0.4 +4 ≤ x-4 +4
4.4 ≤ x
simple as that. just handle inequalities like you would handle equations
Pls help I need this
Answer:
what you need help in we see nothing
factorise:
k² - 2k - 8
with explaining the steps
Answer:
( k-4)(k+2)
Step-by-step explanation:
k² - 2k - 8
What 2 numbers multiply to -8 and add tp -2
-4*2 = -8
-4+2 = -2
( k-4)(k+2)
Refer to the attachment for steb-by-step explanation.
What is the volume of the cylinder shown below?
15
10
Answer:
option B
Step-by-step explanation:
Given r = 10 , h = 15
[tex]Volume = \pi r^2 h = \pi \times 10^2 \times 15 = \pi \times 100 \times 15 = 1500 \pi \ cubic \ units[/tex]
4x² + 3 = -7x
solve for x
x=_,_
[tex]\displaystyle\bf 4x^2+3=-7x\\\\4x^2+7x+3=0 \\D=49-48=1 \\\\x_{1;2}=\frac{-7\pm1}{8} => x_1=-1\quad ; \quad x_2=-\frac{3}{4} \\\\\\Answer:\boxed{x_1=-1\quad ; \quad x_2=-\frac{3}{4} }[/tex]
the sum of the squares of two consecutive integers is 481. Find the integers
Answer:
{15, 16} or {-15, -16}
Step-by-step explanation:
Quick solution:
take half of the sum (approx. 240), sqrt(240)=15.5
So the numbers are 15 and 16. and also the negative equivalents since squares are always positive.
Exact method:
Let
x=smaller integer,
x+1 = next integer.
sum:
x²⁺(x+1)^2 = 481
2x^2 + 2x + 1 = 481
2x^2 + 2x - 480 = 0
x^2 + x -240 = 0
x = 15 or x = -16
so the integers are
either
{15, 16} or {-15, -16}
The sum of the squares of two consecutive integers is 481 will be -15 & -16 and 15 and 16.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Successive numbers are those that follow one another continually, from lowest to biggest. For instance, the numbers 1, 2, 3, 4, 5, and so on are all consecutive.
Assume 'x' is the number and the successive number is (x + 1).
The sum of the square of the consecutive number is 481. Then the equation of the number is given as,
x² + (x + 1)² = 481
Simplify the equation, then we have
x² + (x + 1)² = 481
x² + x² + 2x + 1 = 481
2x² + 2x - 480 = 0
x² + x - 240 = 0
x² + 16x - 15x - 240 = 0
x(x + 16) - 15(x + 16) = 0
(x + 16)(x - 15) = 0
x = 15, -16
Then the successive numbers are given as,
x + 1 = 15 + 1
x + 1 = 16
x + 1 = - 16 + 1
x + 1 = - 15
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
please help find x!! asap
Answer:
x = 60
Step-by-step explanation:
The angle 30 is on the same vertical line as the angle that is adjacent to the missing angle x. they form 90 degrees.
Encuentra el volumen de un prisma rectangular que mide 14m de largo y 10 m de ancho 34m de altura.
Two cables are attached to a 30-foot wall and a 22-foot wall. If the tie down for the cables is located in the center of a 40-foot wide alley between the two walls, what is the angle \thetaθ that is formed between the cables? Round your answer to the nearest whole number.
Answer:
76°
Step-by-step explanation:
Applying trigonometry :
Angle x ;
Tan x = opposite / adjacent
Tan x = (30/20)
x = tan^-1(30/20)
x = 56.31°
Angle y;
Tan y = opposite / adjacent
Tan y = (22/20)
x = tan^-1(22/20)
x = 47.73°
The angle θ ;
Sum of angles in a straight line = 180
56.31 + 47.73 + θ = 180°
θ = 75.96°
Graph h(x)=-x^4 +3
Use the parabola tool then choose the vertex followed by one point on the parabola.
The y intercept is 3 and the x intercepts are +1.3 and -1.3
The graph is given below.
What is graph?In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
Here, we have,
h(x)=-x^4 +3
so, The y intercept is 3 and the x intercepts are +1.3 and -1.3
The graph is given below.
To learn more on graph click:
brainly.com/question/17267403
#SPJ2
12
Activity 2
1. Express each as a unit rate.
a) A car travelled 150 km in 3 hour. Show your work.
Given:
A car traveled 150 km in 3 hour.
To find:
The unit rate.
Solution:
We have,
Distance = 150 km
Time = 3 hours.
In this case speed is the unit rate.
[tex]Speed=\dfrac{Distance}{Time}[/tex]
Substituting the given values, we get
[tex]Speed=\dfrac{150\text{ km}}{3\text{ hr}}[/tex]
[tex]Speed=50\text{ km/h}[/tex]
Therefore, the unit rate is 50 km/h.
Hey!! Can you guys help me !!
No links!!
No spams!!
Ahmed paid $34 000 for a car. His car decreased in value by 40% at the end of the first year. The value at the end of the second year was 10% less than the value at the end of the first year. . Calculate the value of Ahmed's car after 2 years .
40% of 34 000
40/100 * 34 000 = 13 600
subtract : 34000 - 13 600 = 20 400
Second step:10% of 20 400
10/100 * 20 400 = 2040
subtract : 20 400 - 2040 = $ 18 360
Final Answer = $ 18 360Kadeesha has a point card for a movie theater.
She receives 50 rewards points just for signing up she earns 12.5 points for each visit to the movie theater she needs at least 210 points for a free movie ticket right and solve for an inequality the number of visits kadeesha can make to earn her first free movie ticket
Answer:
50 + 12.5 v ≥ 210
She needs at least 13 visits
Step-by-step explanation:
points for signing up + points per visit* number of visits ≥ 210
50 + 12.5 v ≥ 210
Subtract 50 from each side
50 + 12.5 v -50 ≥ 210-50
12.5 v ≥ 160
Divide by 12.5
12.5 v/12.5 ≥ 160/12.5
v ≥ 12.8
She needs at least 13 visits
Answer:
Step-by-step explanation:
Find the value of x in the isosceles triangle shown below
Answer:
x²+4² =8²
x²+16 =64
x² =64-16.
x² =48
x. =√48
answer is option D
Answer:
D
Step-by-step explanation:
The segment x is a perpendicular bisector and divides the triangle into 2 right triangles.
Using Pythagoras' identity in either of the 2 right triangles, then
x² + 4² = 8²
x² + 16 = 64 ( subtract 16 from both sides )
x² = 48 ( take the square root of both sides )
x = [tex]\sqrt{48}[/tex] → D
-40 divided by what makes -4
Answer:
10
Step-by-step explanation:
<3
I. NEED. HELP! PLEASE!
Answer:
x = 2.5
Step-by-step explanation:
We know the adjacent and the opposite sides to the angle in a right triangle
tan theta = opp / adj
tan 26 = 1.2 /x
x tan 26 = 1.2
x = 1.2 / tan 26
x =2.46036461
Rounding to the nearest tenth
x = 2.5
tan tita = opp/adj
tan 26°=1.2/x
x=1.2/tan 26
x=2.46
x=2.5
How many quarters are there in 5 and 3/4
Answer:
23
Each 1 has 4 quarters
5*4=20
20+3
23
Step-by-step explanation:
PLEASE HELP ME WITH THIS
Please help. Thank you. (30 points included) (Shown work)
Answer:
True
Step-by-step explanation:
Supplementary angles are angles that add up to 180 degrees (straight line). *5 degrees + x create a straight line.
if im writing 200 post cards , and stamps are 0.36 cents a piece, how much money would 200 stamps be?
Answer:
72
Step-by-step explanation:
1 stamp costs 0.36 cents
Then, 200 post cards will cost 0.36 × 200 = 72
Answer:
$72 dollars
Step-by-step explanation:
200 x 0.36 = 72
Please help
Honestly cant understand
the ratio of blue to yellow paint when mixed to make green paint is 3:2 what percentage of the green paint is made from yellow paint
Answer:
40%
Step-by-step explanation:
3 + 2 = 5
Since 2 is the ratio of yellow paint, 2/5 x 100 = 40%
Hope this helped!
PLEASE PLEASE PLEASE HELP ME!!! IM SO CLOSE TO GETTING THE SCORE I NEED
explaining your answer = brainliest
The radius of a circle is 2 kilometers. What is the area of a sector bounded by a 36° arc?
answer has to be in SIMPLEST form
Answer:
[tex]\frac{2}{5} \pi[/tex] [tex]km^{2}[/tex]
Step-by-step explanation:
In this problem, we will use the following formula:
A = [tex](\frac{C}{360}) \pi r^{2}[/tex] , where r = radius & C = central angleStep 1: Plug in for C and r.
A = [tex](\frac{C}{360} )\pi r^{2}[/tex]A = [tex](\frac{36}{360})\pi 2^{2}[/tex]Step 2: Solve.
A = [tex](\frac{1}{10})4\pi[/tex]A = [tex]\frac{2}{5} \pi[/tex]Final answer (simplified & exact): [tex]\frac{2}{5} \pi[/tex] [tex]km^{2}[/tex]
Sorry it took so long to complete... kinda started with the wrong answer... But I hope this helps and that you have a great rest of your day!
how do u find volume of a rectangle
Answer:
the length of the rectangle times the wedth of the rectangele by 2
