Find the root of the equation 2x (x -8)=(x + 1)(2x – 3).
Answers
Answer: 1/5
Step-by-step explanation:
The root of the equation 2x(x - 8) = (x + 1)(2x - 3) is x = -1/4. To find the root of the equation 2x(x - 8) = (x + 1)(2x - 3), we need to solve for the value of "x" that makes both sides of the equation equal.
First, let's expand both sides of the equation:
2x(x - 8) = (x + 1)(2x - 3)
[tex]2x^2 - 16x = 2x^2 - x - 3x + 3[/tex]
Now, combine like terms on the right-hand side:
[tex]2x^2 - 16x = 2x^2 - 4x + 3[/tex]
Next, subtract [tex]2x^2[/tex] from both sides to get the x terms on one side:
-16x = -4x + 3
Now, bring all the x terms to one side by subtracting -4x from both sides:
-16x + 4x = 3
Simplify the left-hand side:
-12x = 3
Finally, solve for x by dividing both sides by -12:
x = 3 / -12
x = -1/4
So, the root of the equation 2x(x - 8) = (x + 1)(2x - 3) is x = -1/4.
To know more about root:
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Related Questions
How can 5/16be written as a decimal
Answers
Answer:
The answer is 0.3125.
Step-by-step explanation:
Step 1. Do 5/16
Step 2. Get an answer of 0.3125
I hope that this helps! :)
Vhich statements are true about the graph of the function f(x) = x7
- 8x + 5? Select three options.
J The function in vertex form is F(x) = (x - 4)2 - 11
- 11
The vertex of the function is (-8, 5).
O The axis of symmetry is X = 5.
O The y-intercept of the function is (0, 5).
O The function crosses the x-axis twice.
Answers
Answer:
A D E
Step-by-step explanation:
https://brainly.com/question/18143812
Help please i need help please
Answers
Answer:
Acute
Step-by-step explanation:
The angle is 5 degrees.
Acute angles are angles between 0-90
Right angles are angles measuring 90 degrees
Obtuse angles are angles between 90-180
Therefore this angle is Acute
You leave your house and drive 7 miles north, then turn left and drive 24 miles west. How far are you from your house?
Answers
25 miles
Explanation:
We can use Pythagoras’ theorem for this
Find the equation of the line that goes through the points (0, 6) and (12, 2).
y = 12x + 2
y = -1/3 x + 2
y = -1/3 x + 6
y = -3x + 6
Answers
Answer:
B.
Step-by-step explanation:
70 points!!
A. Transform F using the rule (x, y) → (-x, y) (1 pt.)
B. Describe the transformation precisely.
C. Does the transformation result in a a congruent figure?
Answers
Answer:
C
C'
1
1. see attached
2. the figure is reflected in the y-axis
Step-by-step explanation:
1.
The given transformation moves each point horizontally to the same
distance on the other side of the y-axis. This is shown in the attachment.
2.
The given rule ...
(x, y) → (-x, y)
is the most precise description of the transformation. In English, it can be
described as a reflection in the y-axis
Step-by-step explanation:
Correct me if I'm wrong
determine the quadtratic that has the following square root (5/3, 7/3)
Answers
Answer:
9x^2 - 36x + 35.
Step-by-step explanation:
One would be (x - 5/3)(x - 7/3) <------ in factor form.
Getting rid of the fractions by multiplying each term by 3:
= (3x - 5)(3x - 7)
Converting to standard form
= 3x*3x -7*3x - 5*3x + 35
= 9x^2 - 36x + 35.
If a canoe travels 6 miles per hour downstream, and 2 miles per hour p stream, how many miles per hour will it go in still water?
Answers
Answer:
4 miles per hour
Step-by-step explanation:
The given relations allow us to write two equations.
__
The downstream speed is the sum of the canoe speed and the stream speed:
6 = c + s
The upstream speed is the difference of the canoe speed and the stream speed:
2 = c - s
Adding these two equations, we get ...
8 = 2c
4 = c . . . . . divide by 2
The canoe speed in still water is 4 miles per hour.
Answer:
4 Miles an hour
Step-by-step explanation:
25 points!
7 and 8 Find the measurement of the missing interior angle
Answers
Answer:
7. x = 88
8. x = 59
Step-by-step explanation:
You're probably trying to equal 180° because that's what the triangle should equal so
7. 48° + (88° - 44°) + 88° = 180°
8. 73° + (59° - 11°) + 59° = 180°
I hope this is right :,)
X=8
For #8:
X=59
HELP ME WITH THESE TWO QUESTIONS PLEASE.
Answers
Answer:
the answer for the first one is 141
and the answer for the second is 48
Answer:
First: -1628
Second: -16
Step-by-step explanation:
For the first problem, start by rewriting the equation by plugging in h and g as (4n-3)(-4n-4)
By FOILing this, you’ll end up with -16n^2-16n+12n+12
-16n^2-4n+12
Now you can plug in n, which is -10:
-16(10)^2-4(10)+12
-1600-40+12
-1628
For the second question, you’ll be plugging f(-2) into g, but I’ll leave -2 as n for simplicity until the end
g(n)=n^2+2n
f(n)=2n-4
g(n)=(f(n))^2+2(f(n))
(2n-4)^2+2(2n-4)
(4n^2-16n+16) + (4n-8)
4(-2)^2-16(-2)+16+4(-2)-8
16-32+16-8-8
-16
Which formula below is used to find the volume of a shape?
A. length ÷ width ÷ height
B. length − width − height
C. length + width + height
D. length × width × height
Answers
Answer:
D. length × width × height
Step-by-step explanation:
That is how you calculate the volume of a shape.
Which statement best describe the product of 4/5x10
Answers
Answer:
4/5x10=8
Step-by-step explanation:
Not sure what the statements the question describes are since you didn't put them but the product is 8.
PLS answer and explain
Write the expression for the cubic function
Answers
Answer:
F(x) = ax3 + bx2 + cx1 + d.
Step-by-step explanation:
A, b, and c are the coefficients and d is the constant.
Carl is having a party.
Each cake serves 4 people.
Does this situation represent a proportional relationship?
Answers
Answer:
Yes
Step-by-step explanation:
10. Find the surface area of the figure to the left.
13 m
9 m
Answers
Answer:
soz i need points n
Step-by-step explanation:
cuz
jayce runs 2 1/2 miles on monday. Each day after that, he runs the same 1 1/3 mile route every morning. His goal is to run at least 6 miles by the end of the week. Which inequality represents the least number of days after monday that jayce needs to run to reach his goal?
Answers
Answer:
Step-by-step explanation:
6 < 2 1/2 + 1 1/3R
Question 2 of 25
What value of cmakes the polynomial below a perfect square?
x + 10x+ c
CE
O A. 100
O B. 20
O C. 5
O D. 25
Answers
Answer:
25
Step-by-step explanation:
x^2 + 10x + 25 = (x+5)^2
calculate the arc length. please help!
Answers
Answer:
L= 12.28cm
Step-by-step explanation:
L= 1/4 (2πr)
L= 90/360 * 2πr
L= 90/360 * 6.14* 8cm
L= 12.28cm
Hope it helps
(x-4)(x+3)(x-5)
I am confused
Answers
ANSWER:
x³ - 6x² -7x + 60
________________________
#HopeItsHelp
Roots
x = -3
x = 4
x = 5
The graph
rewrite the equation in standard form
Y= -3/4x + 7
rewrite the equation in slope intercept form
X+2y=-3
Answers
Answer:
Y= -3/4x + 7 in standard form is 3x + 4y = 28
x + 2y =-3 in slope intercept form is y= 1/2x - 3/2
Step-by-step explanation:
Hope this helps!!
Answer:
please see photo above for detailed analysis.
10. Enter the value of p so that the expression 8(n + 2) is equivalent to (n + p)8
Answers
Answer:
p=2
Step-by-step explanation:
8n + 16 = 8n + 8p
subtract 8n
16=8p
divide both sides by 8
p = 2
To find the value of p that sets the expression equal to each other:
⇒ must set both equations equal to each other, like such:
[tex]8(n+2)=(n+p)8\\8n+16=8n+8p\\8n+16-8n=8p\\16=8p\\8p=16\\p=2[/tex]
Thus the value of p so that the expression 8(n + 2) is equivalent to (n + p)8 is 2
Answer: 2
Hope that helps!
The measure of anglerst can be represented by the expression (6x 12)°. three lines extend from point s. the space between lines s r and s u is 78 degrees. the space between lines s u and s t is 3 x minus 12. what is manglerst in degrees? 78° 84° 120° 156°
Answers
Answer:
∠RST = 120°
Step-by-step explanation:
We assume the positions of the lines and angles will match the attached figure. The angle addition theorem gives a relation that can be solved for x, then for the value of angle RST.
∠RSU +∠UST = ∠RST
__
78° + (3x -12)° = (6x +12)° . . . . . substitute given values into the above
54 = 3x . . . . . . . . . . . . . . . . divide by °, subtract 3x+12
108 = 6x . . . . . . . . . . . multiply by 2
120° = (6x +12)° = ∠RST . . . . add 12, show units
The measure of angle RST is 120 degrees.
_____
Additional comment
Note that we don't actually need to know the value of x (18) in this problem. We only need to know the value of 6x.
if the compound ratio of 5:8 and 3:7 is 45:x. find x
Answers
Given:
5:8 and 3:7 = 45:X
Explanation:
15:56 = 45:x
15x. = 2520
X=2520/15
x= 168
Conclusion:
Thus the value of x is found to be 168.
5:8 and 3:7=45:x
15:56 = 45:x
Product of means. = product of extremes
15x. = 2520
X=2520/15
x= 168
I need help with math please!!!!
77-99+33 divided by 6
Answers
Answer:
try with
[tex]77 - 99 + 33 \div 6[/tex]
to calculate so you can find the answer thanks me later
Step-by-step explanation:
carry on learning868×10^5 this is acly 08
Answers
Answer:
this is easy the answer is 10 power of 5
Step-by-step explanation:
Answer:
86,800,000
________________________________________________________
SolveRemember the order of operations,
parenthesesexponentsmultiplicationdivisionadditionsubtractionGo from top to bottom as most to least important. Start with exponents, the tiny floating numbers. 10 to the power of 5 is the same as 10 times itself 5 times, or increasing the zeros 5 times.
[tex]10^5 = 100,000[/tex]
Next, multiply by 868.
[tex]100,000 * 868 = 86,800,000[/tex]
________________________________________________________
QuestionsAsk in comments.
This week, Hadiza read 15 pages each day from Monday through
Friday, and she read a total of 58 pages over the weekend. Complete
the equation to find how many pages Hadiza read this week.
Show your work below.
Answers
Answer: n= 15+58 = 73
Step-by-step explanation: Add pages for the week and weekend
Answer:
Step-by-step explanation:
HadizaReadingWeekly= 15 * Weekdays + 58 for Weekend
HRW=15*WD + 58
H =15*D +58
where H = HadizaReadingWeekly
D = days of the week (5)
then
H = 15*5 +58
H = 75 + 58
H = 133
Hadiza read 133 pages this week
Find the distance between the two points. |(1,4) ✓ [?] (-2,-3) Enter the number that goes beneath the radical symbol.
Answers
Answer: √58
Step-by-step explanation:
[tex]\begin{aligned}&\left(x_{1}, y_{1}\right)=(-2,-3) \\&\left(x_{2}, y_{2}\right)=(1,4) \\&\text {The distance between two points is given by,} \\&d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}} \\&d=\sqrt{(4+3)^{2}+(1+2)^{2}} \\&d=\sqrt{7^{2}+3^{2}} \\&d=\sqrt{49+9} \\&\bold{d=\sqrt{58}}\end{aligned}[/tex]
Therefore, distance between the two points is √58 and the number that goes under the radical symbol is 58
What is the value of K?
Answers
Let's look into the solution step by step.
Explanation:
Given: A quadratic equation, kx2 - 14x + 8 = 0
Let the two zeros of the equation be α and β.
According to the given question, if one of the roots is α the other root will be 6α.
Thus, β = 6α
Hence, the two zeros are α and 6α.
We know that for a given quadratic equation ax2 + bx + c = 0
The sum of the zeros is expressed as,
α + β = - b / a
The product of the zeros is expressed as,
αβ = c / a
For the given quadratic equation kx2 - 14x + 8 = 0,
a = k, b = -14, c = 8
The sum of the zeros is:
α + 6α = 14 / k [Since the two zeros are α and 6α]
⇒ 7α = 14 / k
⇒ α = 2 / k --------------- (1)
The product of the zeros is:
⇒ α × 6α = 8 / k [Since the two zeros are α and 6α]
⇒ 6α 2 = 8 / k
⇒ 6 (2 / k)2 = 8 / k [From (1)]
⇒ 6 × (4 / k) = 8
⇒ k = 24 / 8
⇒ k = 3
Please Help !! What is the volume of a cylinder with base radius 2 and height 9?
Answers
Answer:
The cylinders volume is 113.04 cubic inches
Step-by-step explanation:
The volume of a cylinder can be represented by the formula : V = π*r^2*h
So, now that we have the formula, we can simply plug in the values, and we have the volume of the cylinder.
V = π * 2^2 * 9
V = π * 4 * 9
It says to use 3.14 as π.
V = 3.14 * 4 * 9
V = 113.04
The cylinders volume is 113.04 cubic inches
Solve for x.
x=
x+19 7x+9
Answers
Hey there!
x + 19 + 7x + 9 = 180°
1x + 19 + 7x + 9 = 180°
8x + 28 = 180°
SUBTRACT 28 to BOTH SIDES
8x + 28 - 28 = 180° - 28
SIMPLIFY IT!
8x = 180 - 28
8x = 152
DIVIDE 8 to BOTH SIDES
8x/8 = 152/8
SIMPLIFY IT!
x = 152/8
x = 19
Therefore, your answer should be:
x = 19
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)