Answer:
Step-by-step explanation:
Ok what’s the problem
What are the solutions of the equation (x - 3)2 + 2(x - 3) - 8 = 0? Use u substitution to solve.
Ox= -5 and x = 1
O x= -1 and x = 5
O x= -1 and x = -7
Ox= 1 and x = 7
Given:
The equation is:
[tex](x-3)^2+2(x-3)-8=0[/tex]
To find:
The value of x.
Solution:
We have,
[tex](x-3)^2+2(x-3)-8=0[/tex]
Substitute [tex]x-3=u[/tex].
[tex]u^2+2u-8=0[/tex]
Splitting the middle term, we get
[tex]u^2+4u-2u-8=0[/tex]
[tex]u(u+4)-2(u+4)=0[/tex]
[tex](u-2)(u+4)=0[/tex]
Using zero product property, we get
[tex]u-2=0\text{ and }u+4=0[/tex]
[tex]u=2\text{ and }u=-4[/tex]
Now, substitute [tex]u=x-3[/tex].
[tex]x-3=2\text{ and }x-3=-4[/tex]
[tex]x=2+3\text{ and }x=-4+3[/tex]
[tex]x=5\text{ and }x=-1[/tex]
Therefore, the correct option is b.
The solutions to the equation are x = -1 and x = 5. The correct option is second option x = -1 and x = 5.
Quadratic equationFrom the question, we are to determine the solution of the given equation
(x - 3)² + 2(x - 3) - 8 = 0
First, we will expand the equation and clear the brackets
[tex](x - 3)^{2} + 2(x - 3) - 8 = 0[/tex]
[tex](x - 3)(x - 3) + 2(x - 3) - 8 = 0[/tex]
[tex]x^{2} -6x + 9 +2x - 6 - 8 = 0[/tex]
Simplifying
[tex]x^{2} -4x - 5 = 0[/tex]
Factorizing, we get
[tex]x^{2} -5x +x- 5 = 0[/tex]
[tex]x(x-5)+1(x- 5) = 0[/tex]
[tex](x+1)(x-5)= 0[/tex]
Then,
x + 1 = 0 or x - 5 = 0
x = -1 or x = 5
Hence, the solutions to the equation are x = -1 and x = 5. The correct option is second option x = -1 and x = 5.
Learn more on solving Quadratic equations here: https://brainly.com/question/8649555
Get 20 points.The square root of 144 is 12, because12 x 12 = 144. The square root of 169 is 13, because
13 x 13 = 169. Which expression will give the closest approximation to the square root of 156?
Answer:
A
Step-by-step explanation:
I took the assignment before hand thats the answer.
The cost of a holiday is £2400. Rana pays a deposit followed by monthly payments, in the ratio deposit:total of the monthly payments=3:5 she makes 6 equal monthly payments. Work out her monthly payment
Answer:
Monthly installments = £250
Step-by-step explanation:
Given
Total cost of holiday = £2400
Ratio deposit : total of the monthly payments=3:5
Total deposit made = [tex]\frac{3}{3+5} * 2400 = 900[/tex]
Total amount of the monthly payments = 2400 -900 = 1500
She pays six equal installments.
Amount of installments = 1500/6 = 250
Monthly installments = £250
Using proportions, it is found that her monthly payments are of £250.
The deposit is of x.The total of monthly payments the remainder, that is, 2400 - x.According to the ratio, we have that:
[tex]\frac{x}{2400 - x} = \frac{3}{5}[/tex]
Applying cross multiplication:
[tex]5x = 3(2400 - x)[/tex]
[tex]8x = 7200[/tex]
[tex]x = \frac{7200}{8}[/tex]
[tex]x = 900[/tex]
Hence, the monthly payments add to £1500.
She makes 6 equal monthly payments, hence:
[tex]p = \frac{1500}{6} = 250[/tex]
Her monthly payments are of £250.
A similar problem is given at https://brainly.com/question/24372153
can someone help i dont know any of these formulas
s.a=C.A xH
v of n.o.2 =lxwxh
Step-by-step explanation:
v of no.3=πr2h and s.a=πdh
no.1=area of cross section x area of all faces and v=area of cross section x length
try those ones
PLEAAASEEE ANSWER HELP
DONT ANSWER WITH LINKS PLEzeee
Answer:
See below
Step-by-step explanation:
Parallel lines have the same slope.
13) The slope would still be 2/3
14) The slope would still be 9/5
PLEASE HELP! NO LINKS OR I WILL REPORT!! I SUCK AT ALGEBRA
Answer:
-5 and 3
Step-by-step explanation:
(-(-2) +/- √(4- (4(1)(-15))) ÷ 2
(2 +/- √64 )÷ 2
(-2+8) ÷ 2 = 3
(-2 -8) ÷ 2 = -5
Please help due in 5 minutes
Answer:
18,24,30
Step-by-step explanation:
hope this helps
Answer:
c
Step-by-step explanation:
because that the hypotenuse 30 adjacent 18 and opposite 24
I need help ASAP!
Please help me!!
1. The X axis is the line going left and right
2. The Y axis is the line going up and down
3. The origin is the point where the X and Y axis meet; (0,0); by the 0
4. The points will be written as A, B, C. This is going from left to right. So the first box on the coordinate plane furthest to the left with be labeled with A. Then the second box furthest from the left; the middle box; will be labeled with B. Then the last box will be labeled C
5. (4,6)
6. (2,9)
7. (0,4)
8. When Allie identified the point, she mixed the X and Y coordinates. To identify a point you first want to find the point following the X axis. Then do the same with the Y axis. After doing this you should have 2 numbers, in which are 3 and 7. Now when writing the coordinates, the X axis ALWAYS comes first. So it should look like (7,3)
4y - 18 = 20
Y=
PLEASE HELP!!!!!!!
Answer:
y = 9.5 or 19/2
Step-by-step explanation:
4y - 18 = 20
Add 18 to both sides.
4y = 38
Divide by 4.
y = 9.5 or 19/2
Answer:
34
Step-by-step explanation:
4y-18=20
+18 +18
________
4y=38
/4
________
9.5
Which expression represents the difference of (6x - 5) - (-x - 4)?
(6x-5)-(-x-4)
6x-5=x+4
6x-x=4+5
5x=9
The radius of a circle measures 11cm. what is the circumference of the circle?
Answer:
C = 69.08
Step-by-step explanation:
C = 2πr
C = 22π or 69.08
Workers inc just brought 14 boxes of pens to put in their storage. Each box contains 40 pens. If each of the 40 employees takes 2 pens how many will be left in the storage room?
Answer:
480
Step-by-step explanation:
The computation of the number of pens left in the storage room is shown below:
The total number of pens purchased is
= 14 boxes × 40 pens
= 560
ANd, the total pens take by the employee
= 40 employees × 2 pens
= 80
So, the remaining pens left is
= 540 - 80
= 480
Shakir has relatives in Ottawa, Canada. His aunt told him that the average temperature in April is 8.6°C higher than it is in March. She also said that the average temperature in February is −11.8°C.
If the average temperature in April is 3.8°C, how much colder is the average temperature in February than the average temperature in March?
a
It is 7°C colder.
b
It is 4.8°C colder.
c
It is 3.2°C colder.
d
It is 24.2°C colder.
Answer:
Step-by-step explanation:
did u get the answer?//
How do you find 3/4 of 20
Fast response please!!
Answer:
15
Step-by-step explanation:
3/4(20/1) = (3*20)/(4*1)
60/4
15
Look at the given figure. If the triangles are congruent, give the theorem. If not, select not congruent.
a) SSA
b) SSS
c) SAS
d) Not Congruent
Answer:
A. SSS
Step-by-step explanation:
Alyssa attends football games at her school. At each football game, she buys a bottle of water for $0.75 and a candy bar for dollars. Select all expressions that represent the amount of money, in dollars, Alyssa spends after attending 6 football games.Immersive Reader (10 Points) 6(0.75)() 6(0.75) + 6() 6 + 0.75 + x (6 + 0.75)(6 + )
The circle graph shows how Tremaine divided his time on the computer last week Tremaine's Computer Time Games 25% Homework 20% Research 5% Other 10% Social media 40% Tremaine used the computer a total of 30 hours last week. How many more hours did Tremaine use the computer to play video games than to do research? 6 hours 20 hours 7.5 hours • 15 hours
Please explain
Answer:
maybe 2.9 hours
Step-by-step explanation:
Pls help
Pls help
Pls help
Answer:
[tex]153\ in^2[/tex]
Step-by-step explanation:
1. Approach
Divide the given figure up into two simple figures, a trapezoid, and a rectangle. Calculate the area of each figure by using their respective area formula. Then add up the results to get the value for the area of the entire figure.
2. Area of the trapezoid
The first figure is a trapezoid, calculate its area by using the following formula,
[tex]A_t= \frac{b_1+b_2}{2}(h)[/tex]
Where parameters ([tex]b_1[/tex]) and ([tex]b_2[/tex]) represent the base of the trapezoid, and ([tex]h[/tex]) represents the height. Substitute in the given values and solve.
[tex]A_t = \frac{16 + 5}{2}(10)[/tex]
Simplify,
[tex]=\frac{21}{2}(10)[/tex]
[tex]=10.5(10)[/tex]
[tex]=105[/tex]
3. Area of the rectangle
The other figure formed by the partition of the two figures is a rectangle. The formula to find the area of a rectangle is the following,
[tex]A_r =(b)(h)[/tex]
Where ([tex]b[/tex]) represents the base of the figure, and ([tex]h[/tex]) represents the height of the figure. Substitute in the values for the given parameters and solve,
[tex]A_r=(16)(3)[/tex]
Simplify,
[tex]=48[/tex]
4. Find the total area
Now add up the values for the area of each figure. The result will be the total area of the figure,
[tex]A_t + A_r = A[/tex]
Substitute,
[tex]105 + 48 = A[/tex]
Simplify,
[tex]153 = A[/tex]
weight of sheep,in pounds, at the Southdown sheep farm:
what is the range of weights of the sheep?
plz anwser asap I'm being timed
Answer: 170
Step-by-step explanation:
275-105
a. The sum of two numbers is 22 and their difference is 14.
i. Form the simultaneous equations.
ii. Find the two numbers.
Enter the correct answer in the box.
Solve this system of equations.
y=2x-5
y=-2x+3
x=
y=
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
2, -1
Step-by-step explanation:
At a school, 133 students play at least one sport. This is 35 % of the students at the school. How many students are at the school?
Answer:
380 students
Step-by-step explanation:
133 = 35%
[tex]\frac{133}{35}[/tex] = 1%
3.8 = 1%
3.8 * 100
= 380
If c is a positive number, how many solutions does √x = c have? Explain.
Answer:
varied
square root of number never result negative number
Step-by-step explanation:
There will only be one real solution.
If [tex]x[/tex] is a real number, the square root function [tex]\sqrt x[/tex] will only have real solutions when [tex]x\ge0[/tex].
For [tex]x<0[/tex], we get imaginary solutions.
Also, when [tex]\sqrt x> 0[/tex], [tex]x>0[/tex]
In other words, when the square root of [tex]x[/tex] is a positive real number, [tex]x[/tex] will be a unique positive number.
We can see this when trying to solve the equation given in the question
So, the equation
[tex]\sqrt x=c[/tex]
where [tex]c>0[/tex], when solved, will give
[tex]\sqrt x=c\\(\sqrt x)^2=c^2\\x=c^2[/tex]
We will have a unique solution because squaring a positive real number gives a single result.
Learn more here: brainly.com/question/24117016
A rocket is launched from a tower. The height of the rocket, y in feet, is
related to the time after launch, x in seconds, by the given equation.
Using this equation, find out the time at which the rocket will reach its
max, to the nearest 100th of a second.
y = 16x^2+ 238x + 81
Answer: 7.44
Step-by-step explanation: DeltaMath
PLEASE HELP ASAP NO LINKS PLEASE An employee works as a veterinary assistant at a clinic making $31,840 per year. However, the clinic is hiring veterinarians at a salary of $72,100 per year. The employee went back to school to become a veterinarian. How much more money could the employee make working as a veterinarian instead of a veterinary assistant over 5 years? Enter your answer in the box.
Answer: 40,260
Step-by-step explanation:
72,100-31,840=40,260
Answer:
201,300
Explanation
I got 100 so no worries
yo i need help please i can’t fail please help me i’ll even give u a brainliest
A: 36 cubic cm
B: 339.12 cubic cm
C: 113.04 cubic cm
D: 678.24 cubic cm
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
the volume of the cone is
V= πr²[tex]\frac{h}{3}[/tex]
-7x + y = -2 in slope-intercept form. what is the y-intercept and slope?
add -7x to the other side so the equation is
y=7x-2
slope is 7
y-int is -2
The diameter of a golf ball is approximately 2 inches. What is its volume?
Round your answer to the nearest whole number.
O A. 4in3
O B. 8 in3
O c. 33 in3
O D. 18 in3
Answer:
4in^3
Step-by-step explanation:
I need help please! DON'T USE LINKS! WILL BE REPORTED
9514 1404 393
Answer:
222 cm²
Step-by-step explanation:
The surface area can be found using the formula ...
A = 2(LW +H(L+W))
To minimize fraction nonsense, we'll let H be the fraction.
A = 2(12·8 +(3/4)(12 +8)) = 2(96 +15) = 222
The surface area of the prism is 222 square centimeters.
hey cutie pls help me thank u !!
f(x)= 2x-1
g(x)=3x
h(x)=x^2 + 1
Compute the following:
Find f(3)
Choose the best answer
A)9
B)5
C)10