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
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
Anyone know how to answer this math question
Answer:
Step-by-step explanation
x^2+y^2=25
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
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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]
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
In general, describe how the outcome of the hypothesis test changes as the level of significance decreases.
Answer:
The region of acceptance gets bigger and the null hypothesis is mostly accepted as it lies in the acceptance region.
Step-by-step explanation:
As the level of significance is decreased the area for the favorable outcomes is increased. The value of ∝= 0.1 has a narrower area of favorable outcomes then the values of ∝= 0.05 or 0.01 because the value 0.1 ( 1%) is closer to the middle value or at the extreme values of the distribution as the case may be for 2 tailed or 1 tailed test.
Significance level Two tailed Test One tailed test
0.1 ± 1.645 ±1.28
0.05 ±1.96 ± 1.645
0.01 ± 2.58 ± 2.33
So if the middle point is taken as zero we see that the spread of the area of the favorable values increases as the value of ∝ significance level decreases.
The region of acceptance gets bigger and the null hypothesis is mostly accepted as it lies in the acceptance region.
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:
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
Find the value of x.
5x
130
O A. 10
O B. 36
O c. 26
O D. 18
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
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)
Mary wants to make bouquets of roses. She has 32 lavender roses, 48 pink roses and 64 white roses. She wants each bouquet to have the same number of flowers of each color. What is the maximum number of bouquets she can make? Choose only ONE best answer. А 8 B 16 C 24 D 32 E 192
Answer:
32)
Step-by-step explanation:
The reason is the least amount of flowers is 32 and since she doesnt have anymore flowers of that type she cant make more bouquets
I hope you found this helpful!
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
A store owner wants to know how many of her 600 regular customers prefer canned vegetables. Each of her three cashiers randomly surveys 20 regular customers. The table shows the results.
Answer:
Sample A Estimate: 330
Sample B Estimate: 420
Sample C Estimate: 360
Median: 360
Range: 90
Step-by-step explanation:
For the sample estimate, multiply 600 by 11/20, 7/10, and 3/5 in order.
600 * 11/20
6600/20
330 people for Estimate A.
600 * 7/10
420/10
420 people for Estimate B.
600 * 3/5
1800/5
360 people for Estimate C.
330, 360, 420
360 is the median of these estimates.
420 - 330 = 90
90 is the range of these estimates.
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
Please also include an explanation, I'd appreciate it :-)
Answer:
[tex]30ft[/tex]
Step-by-step explanation:
So, since the scale is 1:5, 1 ft is actually 5 feet.
[tex]6ft=6[/tex]×[tex]5. 6x5=30[/tex]
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
a. The sum of two numbers is 22 and their difference is 14.
i. Form the simultaneous equations.
ii. Find the two numbers.
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
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
como ordeno de menor a mayor el siguiente polinomio : x^4 y^4+x^4 y^3-x^6 y^2+x^8 y+y^5
Answer:
Un polinomio se ordena de forma ascendente con respecto a una variable, si los exponentes de esta variable aparecen de menor a mayor los términos del polinomio. Un polinomio se ordena en forma descendente con respecto a una variable cuando los exponentes de la variable aparecen de mayor a menor.
Le he proporcionado un cuadro a continuación, espero que ayude :)
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.
-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
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?//
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:
On a tree, the trunk splits into 5 branches. Then each branch splits into 5 smaller branches, and each of those branches splits into 5 very thin branches. How many very thin branches are on the tree?
Answer:
There are 125 very thin branches.
5 branches x 5 smaller branches = 25 smaller branches25 smaller branches x 5 very thin branches = 125 very thin branches125 very thin branches in your final answer!Which expression represents the difference of (6x - 5) - (-x - 4)?
(6x-5)-(-x-4)
6x-5=x+4
6x-x=4+5
5x=9
Is (5,-4) a solution?
(I’ll mark you the brainliest!)
Answer:oh it is - 5 I had this in my questions for homework
Step-by-step explanation:you have to multiply and subtract and do that many times