Answer:
x=2/3
Step-by-step explanation:
hope this helps :)
The solution to the equation is x = 2/3.
We have,
To solve the equation x - 5(x - 1) = x - (2x - 3), follow these steps:
- Distribute the -5 to the terms inside the parentheses:
x - 5x + 5 = x - 2x + 3
- Simplify the terms on both sides of the equation:
-4x + 5 = -x + 3
- Add -x from both sides of the equation:
-4x + x + 5 = -x + 3 + x
-3x + 5 = 3
-3x = 3 - 5
-3x = -2
x = 2/3
Therefore,
The solution to the equation is x = 2/3.
Learn more about equations here:
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Consider the following.
cos(x) = x3
A) Prove that the equation has at least one real root.
The equation cos(x) = x3 is equivalent to the equation f(x) = cos(x) − x3 = 0. f(x) is continuous on the interval (0, 1) there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation cos(x) = x3, in the interval (0, 1).
B) Use your calculator to find an interval of length 0.01 that contains a root.
Answer:
Step-by-step explanation:
Given that:
cos(x) = x³
f(x) = cos (x) - x³
f(x) is continuous on the interval (0, 1)
when;
f(0) = cos (0) - (0)
f(0) = 1 - 0
f(0) = 1 > 0
f(1) = cos (1) - 1³
f(1) = 0.5403 - 1
f(1) = -0.4597
f(1) = - 0.46
f(1) = - 0.46 < 0
Since, 1 > 0 > -0.46, thus there is a number ''c" in (0,1)
such that f(c) = 0
By applying the Intermediate Value Theorem, there is a root of the equation in the interval (0,1)
b) Given that:
The interval length = 0.01; this implies that it is 0.005 length from its root.
f(0.865) = 0.0014
f(0.87) = - 0.013
The solution to the interval lies between 0.865 , 0.87 by using a calculator at length 0.01.
Which Division Property is shown below?
0
------ = 0
14-8
Answer:
When a number 'x' is divided by another number 'y', the number 'x' is divided into 'y' number of equal parts.
If 'y' divides 'x' without any remainder, then 'x' is evenly divisible by 'y'.
Step-by-step explanation:
(i) When 21 is divided by 3, 21 is divided into three equal parts and the value of each part is 7.
(ii) When we divide 35 by 5, we get
7 + 7 + 7 + 7 + 7
(iii) When 35 is divided by 5, 35 is divided into 5 equal parts and the value of each part is 7. And also, there is nothing left over in 35.
So, 35 is evenly divisible by 5.
(iv) When 35 is divided by 4, we get
8 + 8 + 8 + 8 + 3
There is remainder 5, when 35 is divided by 3.
So, 35 is not evenly divisible by 4.
Property 2 :
When a number is divided by another number, the division algorithm is, the sum of product of quotient & divisor and the remainder is equal to dividend.
For the linear model, y = -67.9x +679, the distance, in miles y, is a function of time, x, in hours. Use the model to calculate the total distance, in miles, at x = 2 hours.
Answer:
543.2 miles
Step-by-step explanation:
Input the given value of x into the equation and solve for y:
y = -67.9x + 679
y = -67.9(2) + 679
y = -135.8 + 679
y = 543.2
The total distance in miles after 2 hours is 543.2 miles.
Isaiah is working two summer jobs, making $16 per hour tutoring and $10 per hour clearing tables. isaiah must earn at least $110 this week. write an inequality that would represent the possible values for the number of hours tutoring, t, and the number of hours clearing tables, c, that isiah can work in a given week
Answer:
16t + 10x = 110
Step-by-step explanation:
t = tutoring
x = cleaning tables
16t + 10x = 110
All you do is plug in numbers.
Answer:
16t + 10c>=110
Step-by-step explanation:
the total earned from tutoring in a week is
16(t)
and the total earning from clearing tables per week is
10(c)
but in a week he has to earn a minimum of 110 dollars
hello , anyone able to help with question 5? thanks :)!
Answer:
see explanation
Step-by-step explanation:
Using the product/ difference identity
sinxsiny = [tex]\frac{1}{2}[/tex] [ cos(x - y) - cos(x + y) ]
Consider the left side
2sin([tex]\frac{\pi }{4}[/tex] + α)sin([tex]\frac{\pi }{4}[/tex] - α )
= cos[[tex]\frac{\pi }{4}[/tex] + α - [tex]\frac{\pi }{4}[/tex] + α ] - cos [[tex]\frac{\pi }{4}[/tex] + α + [tex]\frac{\pi }{4}[/tex] - α ]
= cos2α - cos[tex]\frac{\pi }{2}[/tex]
= cos2α - 0
= cos2α = right side , thus proven
Which of the following is equivalent to logb sqrt 57/74
I couldnt find the awnser for this question anywhere
Best Answer gets brainiest!
Answer:
A. Topsoil costs half as much as mulch.
B. Mulch costs the same amount as topsoil.
C. Mulch costs $10 more per cubic yard than topsoil.
D. Topsoil costs $10 more per cubic yard than mulch.
Step-by-step explanation:
Answer:
I'm answering this question so 1 the other person can get brainliest and 2 so I can say:
HIIIIIIIIIIIIIIIIIIIIIII!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
x - y = 11 and 2x + y = 19 by elimination
Answer:
(14,3)
Step-by-step explanation:
2x + y = 19
x - y = 11
-2(x - y) = -2(11)
-2x + 2y = -22
-2x + 2y = -22 + 2x + y = 19
3y = -3
y = 3
-------------------------------------------------
x - y = 11
x - 3 = 11
x = 11 + 3
x = 14
Consider the function f(x) = x(x-4.
If the point (2+c,y) is on the graph of f(x), the following point will also be on the graph of f(x):
A) (c-2,y)
B) (2-c,y)
(2-c,y) is the answer for the problem.
A little girl counts using the fingers of her left hand as follows: She starts by calling her thumb 1, the first finger 2, middle finder 3, ring finger 4, and little finger 5. Then she reverses direction, calling the ring finger 6, middle finger 7, first finger 8 and thumb 9, after which she calls her first finger 10 and so on. If she continues to count in this manner, on which finger will she stop?
a) What if the girl counts from 1 to 10?
b) What if the girl counts from 1 to 100?
c) What if the girl counts from 1 to 1000?
Answer:
(a) Index finger
(b) Ring finger
(c) Index finger
Step-by-step explanation:
Taking thumb as standard for the question.
Thumb series 1 , 9 , 17 ,25, 33......
general term for this
a(n) = 1 + (n-1)8
= 1 + 8n -8
= 8n -7
(a) For 1 to 10
8n -7 = 10
8n = 16+1 (remainder)
so the thumb is for 9 and the next is index finger.
10th = index finger.
(b) for 1 to 100
8n - 7 = 100
8n= 107
107 = 13x 8 + 3(remainder)
so the third finger from thumb is Ring finger
100th = Ring finger
(c) 8n - 7 = 1000
8n = 1007
1007= 125x8 +7 (remainder)
so the 7th finger next to thumb is Index finger
1000th = index finger
How do I fill out this form please help!
Answer:
what form?
Step-by-step explanation:
Answer:
Thats a good question
Step-by-step explanation:
lol.
Brent and Sarah agree to share a bag of skittles in the ratio 3 to 2. If Sarah gets 52 skittles, how many skittles are in the bag
Answer:
130 skittles
Step-by-step explanation:
Since Sarah is the 2 side of the ratio, i divided her side of it by 2 so i could multiply by 5 to get the full bag. 3:2 = 78:52 skittles
Does anybody know the answer to this question I need help please?!
Answer:
Answer is C
Step-by-step explanation:
When u plug in the values in C u get the ranges
An architect is building a scale model of an office building. The scale used to build the model is 1
120
.
What is the equivalent decimal value for this scale?
0.008
0.008 ModifyingAbove 3 with bar
0.8 ModifyingAbove 3 with bar
0.00 ModifyingAbove 83 with bar
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Graph the equation y = x2 + 6x + 5 on the accompanying set of axes. You must
plot 5 points including the roots and the vertex.
Answer:
Please check the graph below.
Step-by-step explanation:
Given the function
[tex]y\:=\:x^2\:+\:6x\:+\:5[/tex]
Axis interception points of the function
x-axis interception points can be computed by setting y=0
[tex]x^2+6x+5=0[/tex]
[tex]\left(x+1\right)\left(x+5\right)=0[/tex]
Using the zero factor principle
if [tex]\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]
[tex]x+1=0\quad \mathrm{or}\quad \:x+5=0[/tex]
[tex]x=-1,\:x=-5[/tex]
Hence,
x-axis interception points are: (-1, 0), (-5, 0)
y-axis interception points can be computed by setting x=0
[tex]x^2+6x+5=0[/tex]
[tex]y\:=\:\left(0\right)^2\:+\:6\left(0\right)\:+\:5[/tex]
[tex]y=0+0+5[/tex]
[tex]y=5[/tex]
Hence,
y-axis interception points are: (0, 5)
From the graph, it is clear that at (-3, -4) the parabola changes direction, hence (-3, -4) it the "vertex".
Also at the point x=-2, then y is = -3
So, all the points are labeled and the graph is attached below.
CAN SOMEONE HELP ME WITH THIS
Answer:
The vertices of a triangle 1/4 the size of the shown triangle would be: (1,1), (2,3), (0,3)
Step-by-step explanation:
Michelle jumps from a plane at an altitude of 1000 m. After 10 seconds her parachute opens. The graph shows the relationship between the distance traveled and time. How long does it take for her to be half way between the plane and the ground? (1 point)
Continuous graph with the y axis labeled Distance (m) and the x axis labeled Time, min. The function consists of 3 lines, the first is almost vertical with a positive slope connecting the points 0,0, to approximately 1 of 6, 250. From that point the second line connects to the first and passes through the points 1,500, 2,800 and 2 1 over 3, 1000. From that point the function is horizontal.
a
40 s
b
1 min
c
1 min 20 s
d
1 min 40 s
Answer:
B
Step-by-step explanation:
If you look at the graph/chart, it starts at 1,000, so half of that is 500, so you go down to 500, and go straight down to see the number of time under it (In this case, is 1 minute) so you know it is one minute
What is the equation of the line that has a slope of -4 and passes through ( 9, -5)
Answer:
y = -4x + 31
Step-by-step explanation:
y = mx + b
y = -4x + b
-5 = -4(9) + b
-5 = -36 + b
b = 31
True or false?
30 is divisible by 2, 4, 5, and 10. hurry please trying to go get my nails done
Answer:
It's false see 4 cannot go into 30 can I have
brainly?:)
Step-by-step explanation:
1 + 1???????????????????
Answer:
2
Hopefully that's the answer you wanted XD
Answer:
2
Step-by-step explanation:
7m+21=5m−5
Can someone help me?
Answer:
m=13
Step-by-step explanation:
7m+21=5m-5
7m-5m=2m
2m+21=-5
-5-21=-26
2m=-26
-26/2
13
13=m
Answer:
m=-13
Step by step is glitching out
Which graph represents the function y = 2 x - 2?
Answer:
the third one!
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
The sum of two complementary angles is 90 degrees.
Angle A + Angle B = 90
Let Angle B = X
5x + 2 + x = 90
Combine like terms:
6x +2 = 90
Subtract 2 from both sides:
6x = 88
Divide both sides by 6:
x = 88/6
x = 14.67
Angle B = 14.67 degrees ( rounded to the nearest hundredth)
Please answer!!!!!!!!!!!!!!
-8 - x = x - 4x
how does x equal to 4 and how do u do this
Answer:
x=4
Step-by-step explanation:
-x=-3x+8
-x+3x=-3x+8+3x
2x=8
2x/2 = 8/2
x = 4
Write the slope intercept from of the equation of the line that passed though the given points.
(−1,−2)(1,−4)
Choose the graph of this equation. y = 2.5x
Answer:
The graph is in the picture below
Step-by-step explanation:
Helen has $100 to spend on new school clothes. She has purchased three shirts that cost the same for a total of $36.75. If she buys two more shirts at the same price, how much money will Helen have left to spend?
Answer:
$-83.75
Step-by-step explanation:
She won't have any more money to spend
Multiply $36.75 by 5
That would be $183.75
Subtract 183.75 from 100
-83.75
So Helen wouldn't have anything left to spend.
She would actually be in debt because she used more than $100
when f(×)=-4(1/2)^-x, what is f(2)
Answer:
16
Step-by-step explanation:
Given expression:
f(x) = 4 [tex](\frac{1}{2} )^{-x}[/tex]
Now we are to find f(2);
To find f(2) we are to substitute 2 for any place where we find x;
f(2) = 4 [tex](\frac{1}{2} )^{-2}[/tex]
f(2) = 4 x [tex]\frac{1}{(\frac{1}{2})^{2} }[/tex]
f(2) = 4 x [tex]\frac{1}{\frac{1}{4} }[/tex]
f(2) = 4 x 4 = 16