Answers
Answer:
x={2,3}
Step-by-step explanation:
√5x-6=x
5x-6=x^2
x^2-5x+6=0
x^2-3x-2x+6=0
(x^2-3x)-(2x-6)=0
x(x-3)-2(x-3)=0
(x-2)*(x-3)=0
x-2=0
x=2
x-3=0
x=3
Related Questions
If (x+k) 2 (x+2) = x² +14x²+60x+72
Find the value of k.
I will give brainliest
Answers
George C.
Jul 24, 2018
(
x
+
2
)
(
x
+
6
)
2
=
0
Explanation:
Given:
x
3
+
14
x
2
+
60
x
+
72
=
0
By the rational roots theorem, any rational zeros of the given cubic are expressible in the form
p
q
for integers
p
,
q
with
p
a divisor of the constant term
72
and
q
a divisor of the coefficient
1
of the leading term.
That means that the only possible rational zeros are:
±
1
,
±
2
,
±
3
,
±
4
,
±
6
,
±
8
,
±
9
,
±
12
,
±
18
,
±
24
,
±
36
,
±
72
In addition, note that all of the coefficients are positive and the constant term is non-zero. As a result, any real zero (rational or otherwise) of this cubic must be negative.
So that leaves rational possibilities:
−
1
,
−
2
,
−
3
,
−
4
,
−
6
,
−
8
,
−
9
,
−
12
,
−
18
,
−
24
,
−
36
,
−
72
We find:
(
−
2
)
3
+
14
(
−
2
)
2
+
60
(
−
2
)
+
72
=
−
8
+
56
−
120
+
72
=
0
So
x
=
−
2
is a zero and
(
x
+
2
)
a factor:
x
3
+
14
x
2
+
60
+
72
=
(
x
+
2
)
(
x
2
+
12
x
+
36
)
Without trying any more of our "possible" zeros, we can recognise the remaining quadratic factor as a perfect square trinomial:
x
2
+
12
x
+
36
=
x
2
+
2
(
x
)
(
6
)
+
6
2
=
(
x
+
6
)
2
So the factored form of the given cubic equation can be written:
(
x
+
2
)
(
x
+
6
)
2
=
0
Can someone help me with 13,14,15 and 16 please
Answers
Answer: -3/5, 18/32, -10/11, and horizontal.
Step-by-step explanation: Remember the equation for slope? Δy (the change in y), over Δx (the change in x). In other words, rise over run. To solve for Δ, you'd have to subtract the second output (y²) from the first (y¹). There are really no rules as to which has to be minuend and the subtrahend, so I chose to subtract (-1,6) from (4,3) for the first problem.
y¹-y² Δy 3-6 -3
------ or ---- so ------- = ----- The slope is represented by -3/5x
x¹-x² Δx 4-(-1) 5
__________________________________________________________
For the second, substitute the values again (make sure you keep the xs and ys together and in the right order, otherwise your answer will be incorrect). Remember that subtracting a negative number is basically just adding a positive number. That's why the slope is 18/32 and not 4/26.
11-(-7) 18
--------- = -------
29-(-3) 32
___________________________________________________________
For number three, they give you a point, then tell you the y-intercept. With that in mind, also know the second point is (0,17), because the x value at the y-intercept is always 0.
7-17 -10
------ = ------- The slope is -10/11x
11-0 11
___________________________________________________________
4-4 0
------ = --------
6-(-9) 15
Because there is no Δy, but there is Δx, we know that the line for y will be straight and shows no change- it will always be at 4. That said, the line will be horizontal.
I hope this helps. I know this is very confusing at first, but with practice, you'll eventually get the hang of it. I've tried to explain the rules to the best of my ability- let me know if there's anything you don't understand or need more help with.
Sincerely,
Lacia :))
On a journey of 120 km, a motorist averages
less than 60 km/h. Will the journey take
more or less than 2 hours?
Answers
Answer:
More
Step-by-step explanation:
Because the journey is 120km long, and the mortoristgoes less than 60km per hour. So in 2 hours, the motorist will go less than 120 km. So he needs more than 2 hours to go 120 km
Maya purchased a prepaid phone card for$25. Long distance calls cost 9cent a minute using this card. Maya used her card only once to make a long distance call. If the remaining credit on her card is 24.01, how many minutes did her call last?
Answers
Answer:
Her call lasted for 1 minutes.
Step-by-step explanation:
She bought a prepaid card ($25)
0.9 times 11 = 0.99
25 - 0.99 = 24.01
write an equation that is perpendicularl to 7/8x+1
Answers
Answer:
-8/7x-1
Step-by-step explanation:
perpendicular equations have opposite signs and are reciprocal.
Determine if the relation represents a function. (2,1) (4,-7) (6,0) (4,-1) (2,9)
Answers
Answer:
It isn't a function
Step-by-step explanation:
2 and 4 both have 2 x values, and on a graph, a function cannot have more than 1 x value.
Find the solution set of 3x + 11 < 50 using inverse operations and properties of inequality.
Answers
Answer:
the answer is 13
Step-by-step explanation:
x < 13 that's what the answer is
Answer: (-♾️ 13)
Step-by-step explanation:
3x+11<50
3x<50-11
3x<39
X<13
The solution will be (-♾️ 13)
What is 100 times 100
Answers
Answer:
hii
Step-by-step explanation:
10,000
Answer:
the anwser would be 10000
Step-by-step explanation:
lol
WHAT DO I DO WHEN I FAILED A ALGEBRA TEST
Answers
Answer:
Restudy and try to take it again.
Step-by-step explanation:
Try watching math videos and do extra studying on the areas you missed on your last attempt.
Answer:
Talk with your teacher
Step-by-step explanation:
I recommend talking with your teacher and asking if you can retest or do extra credit to get your grade back up.
Make sure you study and get really good grades on the rest of your assignments / next test to keep a passing grade.
The cost of tickets is $36 for three students an $72 for six students. What’s the rate and change?
Answers
Answer:The cost of a ticket is $12 per student
Step-by-step explanation:
36/3=$12 per students
$72/6=$12 per student
Consider the complex number z = 27i. What are the characteristics of the cube roots of z?
Use the drop down menus to complete each sentence.
The cube roots are located on a circle with center at the origin and radius of
.
The cube roots have arguments which differ by
Pi over 3.
Answers
Answer:
3 and 2
Step-by-step explanation:
The cube roots are located on a circle with a center at the origin and a radius of 3. The cube roots have arguments that differ by 2 Pi over 3.
What is the complex number?A complex number is one that has both a real and an imaginary component, both of which are preceded by the letter I which stands for the square root of -1.
The given complex number as;
z = 27i
The radius of the cube root is found as;
r=∛x
r=∛27
r=3
The cube roots are located on a circle with a center at the origin and a radius of 3 units.
The argument of a complex number,z=a+ib is;
Θ = tan⁻¹(b/a)
The argument of a complex number z=0+27i
Θ = tan⁻¹(27/0)
Θ = π/2
The cube roots have arguments that differ by 2 Pi over 3.
Hence, the correct answer for the drop-down menu will be 3 and 2.
To learn more about the complex number, refer to the link;
https://brainly.com/question/10251853
#SPJ2
4. determine whether the relation is a function(
(1, -4), (2, 1), (3, 4), (3, 3), (4, 2)
B. yes
C.no
Answers
Answer:
No, bacause each X (first value), need to have just once Y value (second one). Here you have two values for 3 (4 and 4)
five hundred fifty five divided in five
Answers
Answer:
Well I'm not sure if its a joke but here is the answer anyways LOL Its 111
Step-by-step explanation:
Answer:
111
Step-by-step explanation:
If you think about it, 5 ÷ 5 = 1
So all the digits are 1
111
(Plus I just used a calculator)
Hope I helped :)
Ms. Reynold's sprinkler system has 3 stations that water all parts of her front and back lawn. Each station runs for an equal amount of time. If it takes 14 minutes for the first 2 stations to water, how long does it take to water all parts of her lawn?
Answers
Answer:
21 minutes
Step-by-step explanation:
Given that :
Sprinkler has 3 stations
Each waters for an equal amount of time ;
First 2 stations water for 14 minutes
Time taken per station :
14 / 2 = 7 minutes
Time taken to water all part of her lawn :
Time taken per station * number of stations
7 minutes * 3 = 21 minutes
Wesley and Lincoln went fishing
Answers
Answer:
I this a question of some sort?
15,000,015,969+5,000,003
Answers
Express this number in scientific notation. 0.000000591 A. 5.91 × 10–7 B. 5.91 × 10–6 C. 5.91 × 106 D. 5.91 × 107
Answers
Answer:
A
Step-by-step explanation:
HELPPPPP PLZ AND THANK U
Answers
Answer:
0.6
Step-by-step explanation:
multiply all of the numbers
= 1cm
The answer is 1cm
Hope this helps!
A survey asked students whether they would like a drama club, a step team, both clubs, or neither club. The results are below:
1. 34 students like a drama club
2. 27 students like step team
3. 14 students like both
4. 13 students like neither
Answers
Hi, you've asked an incomplete question. Here are the remaining questions:
a) Describe what each region in the Venn diagram represents.
Region I: In drama club, not in step team.
Region II: In both clubs.
Region III: In step team not in drama.
Region IV: Not in either club.
b) How many students were in only one of the two clubs?
c) How many students were in the drama club or in the step team?
d) How many students were surveyed?
Attached is the Venn diagram depicting the regions.
Explanation:
b) By adding the number of students that like drama club and those that like step club we can derive the answer: 34 + 27 = 61.
c) By adding 34 + 27 + those that like both (14) = 75.
d) The total number of students surveyed is gotten by summing any number in attached the diagram: 34 + 27 + 14 + 13 = 88.
An insurance company charges Ted $1400 per year for insurance on his home. The company has predicted that there is a 10% chance that Ted will make a claim on the policy of $5000. Create a probability distribution and determine what the insurance company can expect to make on this policy, on average?
Answers
Answer:
The insurance company can expect to make $900 on the policy
Step-by-step explanation:
The given parameters are;
The amount Ted pays per year for insurance on his home = $1,400
The value of the insurance policy = $5000
The chance that Ted will make a claim on the policy = 10%
The expected value is given as follows
Incidence [tex]{}[/tex] Probability Value v × p
A claim is made [tex]{}[/tex] 0.1 $5,000 - $1,400 = -$3,600 -$360
No claim [tex]{}[/tex] 0.9 [tex]{}[/tex] $1,400 $1260
Expected value is $1,260 - $360 = $900
The value the insurance company can be expected to make on average on the policy is $900
a bee flies at 12 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 14 minutes, and then flies directly back to the hive at 8 feet per second. It is away frim the hive for a total of 16 minutes. what equation can can you use to find the distance of the flowerbed from the hive? How far is the flowerbed from the hive?
Answers
Answer:
(x/12 + 840 + x/8) = 960
576 feets
Step-by-step explanation:
Given that :
Speed to flower bed = 12 ft/s
Speed back to hive = 8 ft/s
Time spent at flower bed = 14 minutes = 14*60.= 840
Total time = 16 mins = (16 * 60) = 960
Let distance between bee hive and flower bed = x
Time taken to flower bed = x / 12
Time taken back to hive = x /8
(x/12 + 840 + x/8) = 960 - - equation
L.C.M of 12 and 8 = 24
(2x + 20160 + 3x)/ 24 = 960
(2x + 20160 + 3x) = 23040
5x = 23040 - 20160
5x = 2880
x = 2880 / 5
x = 576
Distance between flowerbed and hive = 576 feets
Write 2x+y=17 in slope-intercept form
Answers
Answer:
y=-2x+17
Step-by-step explanation:
solve for x 3(-5x+4)+5x-1=-39
Answers
Answer:
2
Step-by-step explanation:
x3(−5x+4)+5x−1=−39
−5x4+4x3+5x−1=−39
Step 1: Subtract -39 from both sides.
−5x4+4x3+5x−1−(−39)=−39−(−39)
−5x4+4x3+5x+38=0
Step 2: Factor left side of equation.
(−x+2)(5x3+6x2+12x+19)=0
Step 3: Set factors equal to 0.
−x+2=0 or 5x3+6x2+12x+19=0
x=2 or x=−1.409699
pleaseeeeeeeee helpppp...
Answers
Answer:
x = 67
Step-by-step explanation:
∠ CRQ = ∠ BQR = 113° ( Alternate angles )
∠ CRQ and ∠ CRS are adjacent angles and supplementary, that is
x + 113 = 180 ( subtract 113 from both sides )
x = 67
Hope this helps
Given the points (2, k) and (0, -6), for which values of k would the distance between the points be square root of 5?
Answers
Answer:
k = -5
k = -7
Step-by-step explanation:
*look at the picture*
15. Write the slope-intercept form of the line described in the following:
Parallel to 3x + y = 5 and passing through (2,3)
Answers
Answer:
2x
Step-by-step explanation:
3x + y = 5
= 5 - 3x
= 2x
Solve 56 - 10x>20 + 8x.
O A. x>-2
B. X<-2
C. x >2
D. x<2
Answers
Answer:
x<2
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Given
56 - 10x > 20 + 8x ( add 10x to both sides )
56 > 20 + 18x ( subtract 20 from both sides )
36 > 18x ( divide both sides by 18 )
2 > x , thus
x < 2 → D
An amount of $2,535.00 is deposited in a bank paying annual interest rate of 5.3% compounded quarterly find the balance after 3 years
Answers
$134.35 per year x 3 years = $406.05
$2,535.00 + $406.05 = $2,941.05
Answer : $2,941.05
Answer:
2968.78
Step-by-step explanation:
took the test
PLEASE HELP
The slope of the line that represents the data Nicholas collected is -63, and the y-intercept is 825. Explain what these represent in the context of the situation. Remember that x is the number of days, and y is the number of canned goods. explain the answer
Answers
Answer:
sorry i coldent find the anser
Step-by-step explanation:
ello
+v+
Answer:
The slope indicates that the soup kitchen uses 63 cans per day. The y-intercept shows that there were initially 825 cans at the soup kitchen.
Step-by-step explanation:
Help ASAP Please! Thanks in advanced :)
Answers
Answer:
x = 17
Step-by-step explanation:
Since it shows that the diagram is corresponding angles, we can set them equal to each other.
8x + 20 = 11x - 31
-3x = -51
x = 17 degrees