Answer:
x = -4
Step-by-step explanation:
[tex]3(x-5)=5x-(3-x)\\\\3x-15=5x-3+x\\\\3x-15=6x-3\\\\-15=3x-3\\\\-12=3x\\\\-4=x[/tex]
Step-by-step explanation:
[tex]3(x - 5) = 5x - (3 - x) \\ 3x - 15 = 5x - 3 + x \\ 3x - 5x - x = - 3 + 15 \\ - 3x = 12 \\ x = \frac{12}{ - 3} \\ x = - 4[/tex]
I hope it helped U
stay safe stay happy
factorize. xy^2-y(x-z) -z
Answer:
The equation x The equation x 2The equation x 2 +xy+xz+yz can be factorised as follows:The equation x 2 +xy+xz+yz can be factorised as follows:x The equation x 2 +xy+xz+yz can be factorised as follows:x 2The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x 2The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x 2 +xy)+(xz+yz)=x(x+y)+z(x+y)=(x+z)(x+y)The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x 2 +xy)+(xz+yz)=x(x+y)+z(x+y)=(x+z)(x+y)Hence, x The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x 2 +xy)+(xz+yz)=x(x+y)+z(x+y)=(x+z)(x+y)Hence, x 2The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x 2 +xy)+(xz+yz)=x(x+y)+z(x+y)=(x+z)(x+y)Hence, x 2 +xy+xz+yz=(x+z)(x+y)Answer:
= (y-1) (xy-z)
Step-by-step explanation:
First we expand them -
= xy^2 - xy - yz - z
= xy(y-1)-z(y-1)
= (y-1) (xy-z)
Hope this helped
I need this question
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
A teacher takes a random sample of 100 students enrolled at Springfield High School and asks them their opinions about the food served in the school cafeteria. The population of students here is __________________.
A. the 100 students who are asked questions
B. all students enrolled at Springfield High School
C. all high school students in the country
D. all high school students in the world
Answer:
The 100 students who are asked questions.
Does Anybody Know The Answer?
Yes. When a graph has more than one line it is a piece wise graph.
Evaluate each expression when a = 3, b = 12, c = 4.
1) Зас
Answer:
36
Step-by-step explanation:
Зас
Let a =3 and c = 4
3*3*4
9*4
36
cos²x-√3sinxcosx = 0
Answer:
x= п/2+пn; nE Z
x= п/6+пn; nEZ
Step-by-step explanation:
(cosx)^2- √3sinxcosx=0
Factorise it
cosx(cosx-√3sinx)=0
cosx=0 or cosx=√3sinx
x= п/2+пn; nE Z cosx/cosx= √3sinx/cosx
1/√3= tgx
x= arctg 1/√3+пn; nE Z
x= п/6+пn; nEZ
The answer is x= п/2+пn; nE Z
x= п/6+пn; nEZ
Ellie wants to double her savings
of $5000 by investing her money
for 20 years.
What interest rate does
she need to look for?
Give your answer to 1 d.p.
Answer:
She will get more money than what she will get in the question
The triangular prism has a length of 40 centimeters, an end base of 5 centimeters, and an end height of 7 centimeters. What is the volume of this prism?
Step-by-step explanation:
volume of triangular prism= area of cross section *length
volume of triangular prism= area of cross section *lengthv=(1/2bh)l
volume of triangular prism= area of cross section *lengthv=(1/2bh)lv=?,b=5,h=40
volume of triangular prism= area of cross section *lengthv=(1/2bh)lv=?,b=5,h=40 =(1/2*5*7)40
volume of triangular prism= area of cross section *lengthv=(1/2bh)lv=?,b=5,h=40 =(1/2*5*7)40 =(35/2)40
=17.5*40
=700cm³
The volume of triangular prism is 700cm³
Answer:
The volume of triangular prism=700cm^3
Step-by-step explanation:
Good luck
-Sweety<3
Work out an estimate for the value of
41.2 x 19.8
——————-
0.49
Answer:
820
Step-by-step explanation:
41.2 * 19.8 = 41 *20 = 820
41.2
In this tenth value is 2 which is less than 5. So ignore it and write the whole number alone. 41
19.8
In this tenth value is 8 awhich greater than 5. So add 1 to whole part and write.
19+1 = 20
Yet another calculus question :)
Given [tex]y = x^3 - 2x[/tex] for [tex]x \geq 0[/tex], find the equation of the tangent line to y where the absolute value of the slope is minimized.
I have tried taking both the first and second derivatives and setting them equal to 0 and using that as the answer, but they're incorrect. Could somebody please explain how to complete the question correctly? Thank you so much!
Answer: y = (-4/3)*sqrt(2/3)
This is the same as writing [tex]y = -\frac{4}{3}\sqrt{\frac{2}{3}}[/tex]
============================================================
Explanation:
The phrasing "where the absolute value of the slope is minimized" is an interesting way of saying "the tangent slope is 0". This is because absolute values are never negative, so the smallest it can get is 0.
Your teacher has given you
y = x^3 - 2x
which differentiates into
dy/dx = 3x^2 - 2
after using the power rule
The derivative function lets us determine the slope of the tangent. The slope is the dy/dx value. Since we want a slope of 0, we'll set 3x^2-2 equal to zero and solve for x. So you have the correct idea, but you won't involve the second derivative.
dy/dx = 0
3x^2 - 2 = 0
3x^2 = 2
x^2 = 2/3
x = sqrt(2/3)
Notice how I'm ignoring the negative version of this root. This is due to the fact that [tex]x \ge 0[/tex]
-------------------------
Now plug this x value back into the original equation to find its corresponding y coordinate.
y = x^3 - 2x
y = x(x^2 - 2)
y = sqrt(2/3)*( 2/3 - 2 )
y = sqrt(2/3)*( -4/3 )
y = (-4/3)*sqrt(2/3)
Note that x = sqrt(2/3) leads to x^2 = 2/3 after squaring both sides.
-------------------------
Therefore, the equation of this tangent line is y = (-4/3)*sqrt(2/3)
All horizontal lines are of the form y = k, for some constant k. This constant value is basically what number you want the horizontal line to go through on the y axis. That number would be (-4/3)*sqrt(2/3).
dilations geometry help please
Multiply x and y by 2:
A. (-6, 4)
B. (2, 2)
C. (-2, -2)
Density of wood is a very important trait for furniture making. There are two main important mechanical properties: strength and stiffness. Research has shown that a increase density equals an increase strength, hardness and stiffness of sawn timber.
A carpenter has two pieces of wood. He wants to find the density of each piece.
The first piece came from a birch tree. The piece of birch wood measures 2 meters by 4 meters by 3 meters and weighs (mass) 16 kilograms.
The second piece came from a cypress tree. The piece of cypress wood measures 3 meters by 5 meters by 2 meters and weighs (mass) 15.3 kilograms.
Which piece of wood has a greater density? You must show your work in order to receive credit.
Step-by-step explanation:
The Birch tree has a greater density.
Steve works two different jobs for a total of 60 hours every Monday through Friday schedule is the same each day and he works three hours a day at his first job how many hours a day does he work at his second job
Answer:
Step-by-step explanation:
Steve works:
- 60 hour per week = 12 hours per day (60/5)
- first job: 3 hours per day = 15 hours per week
- x = second job hours per day
equitation:
1st option to calculate:
12 (total hours per day) = 3 (hours per day on first job) + X
9 = X
2nd option to calculate:
60(total hours per week) = 15 (3 hours per day x 5) + x
45 = x
you need to divide 45 / 5 to get the daily hours which is 9
Can someone help thanks.
Answer:
1/144
Step-by-step explanation: I presume..
And recall something from Algebra...
I hope it helps...
Square it
And reverse it because of the negative
It is a fraction
Answer:
[tex] = { \sf{ \frac{1}{ 144 } }}[/tex]
Step-by-step explanation:
[tex] = { \tt{ \frac{1}{ {12}^{2} } }} = \frac{1}{144} [/tex]
please help me !! :)
Answer:
A
because x is the horizontal axis and it is moved forward by two because of the addition of 2
Wilma worked 38 hours 52 minutes last week. She earns $25.15 per hour. What is wilma's pay for this work period? Round your answer to the nearest hundredth
Answer:
$968.78
Step-by-step explanation:
multiply worked hours by her pay per hour
38.52×$25.15=
38.52×$25.15=$968.778
then you round it to the nearest hundredth
since the thousandth is greater than 5 the 8 will round the 7 to an 8
giving you $968.78
Answer: $977.50
Step-by-step explanation:
(38)(25.15)=955.70
(52)(25.15)/60=21.80
955.70 + 21.80 = 977.50
If 2^x-4 = 4^x-6 , then value of x is?
Answer: [tex]x=1[/tex]
Step-by-step explanation:
[tex]2^x-4=4^x-6[/tex] is the equation that you've given us.
Now if we plot these two equations on the graph we notice there's an intersection at (1,-2). Therefore meaning that [tex]x=1[/tex].
We can prove that by doing the following calculations to prove that both sides are equal to each other.
The left side of the equal sign:
Step 1: Write the equation down:
[tex]2^x-4[/tex]
Step 2: Substitute x for the numerical value we found.
[tex]2^1-4[/tex]
Step 3: Find the square of [tex]2^1[/tex], which is itself, 2.
[tex]2-4[/tex]
Step 4: Subtract 2 from 4. Which is a negative number, thus being -2.
[tex]-2[/tex]
The right side of the equal sign:
Step 1: Write the equation down:
[tex]4^x-6[/tex]
Step 2: Substitute x for the numerical value we found.
[tex]4^1-6[/tex]
Step 3: Find the square of [tex]4^1[/tex], which is itself, 4.
[tex]4-6[/tex]
Step 4: Subtract 4 from 6. Which is a negative number, thus being -2.
[tex]-2[/tex]
We know that [tex]x=1[/tex] because when substituting x with 1, we get -2 on both sides. Therefore making this statement true and valid.
[tex]-2=-2[/tex]
These circles are:
A. tangent
B. congruent
C. congruent
D. none of these
Answer:
A. tangent
Step-by-step explanation:
Hi there!
Tangent circles are circles that intersect (or "touch") at exactly one point. These circles appear to have this characteristic.
I hope this helps!
The angle \theta_1θ
1
theta, start subscript, 1, end subscript is located in Quadrant \text{IV}IVstart text, I, V, end text, and \cos(\theta_1)=\dfrac{9}{19}cos(θ
1
)=
19
9
cosine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis, equals, start fraction, 9, divided by, 19, end fraction .
What is the value of \sin(\theta_1)sin(θ
1
)sine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis?
Express your answer exactly.
\sin(\theta_1)=sin(θ
1
)=sine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis, equals
I guess that we know that the angle θ is in the fourth quadrant, and we know that:
cos(θ) = 9/19
now we want to find the value of sin(θ).
To do it, we can remember that for a point (x, y), such that we can define an angle β between the positive x-axis and a ray that connects the origin with the point (x, y), we can write the relations:
tan(β) = x/y
sin(β) = y/√(x^2 + y^2)
cos(β) = x/√(x^2 + y^2)
Because the angle is in the fourth quadrant, we know that:
x > 0
y < 0.
And we also know that:
cos(θ) = 9/19
then we have:
x = 9
√(x^2 + y^2) = √(9^2 + y^2) = √(81 + y^2) = 19
Solving the above equation we can find the value of y, that we need to remember, is negative:
√(81 + y^2) = 19
81 + y^2 = 19^2
y^2 = 19^2 - 81 = 280
y = √280 = -16.7
Now that we know the value of y, we can replace that in the sine equation to get:
sin(θ) = -16.7/19 = -0.879
If you want to learn more, you can read:
https://brainly.com/question/19830127
what is the equation of the axis of symmetry do the quadratic function f(x) = -(x+4) (x-1)
9514 1404 393
Answer:
x = -3/2
Step-by-step explanation:
The zeros of the function are the values of x that make the factors zero:
x = -4, x = 1
The axis of symmetry is the vertical line halfway between these zeros.
x = (-4 +1)/2 = -3/2
The equation of the axis of symmetry is x = -3/2.
Multiply. Write your answer in scientific notation
Answer:
3×3×10^5×10^2
9×10^5-2
9×10³
In the following diagram, BAC = 46 degrees, and AD is the bisector of BAC. Find BDA
Answer:
67 degrees
Step-by-step explanation:
We have a right triangle with the following known values:
B = 90
A = 23 (46/2=23 since AD is the angle bisector)
D = ?
180 = 90 + 23 + D and we solve
67 = D
Intuitively, does it make sense that all circles are similar? Why or why not?
Answer with explanation:
Yes, each point on a circle is a fixed distance from the center of the circle. This is called the radius of the circle. By definition, all radii of a circle are equal.
Similar polygons have corresponding sides in similar proportion. Regardless of how large a circle is, each point on the circle will still be a fixed distance away from center of the circle. Therefore, the radii are in a constant proportional and all circles are similar.
Chase plans to repaint some classroom bookcases. He has 1 4/7 gallons of paint. All of the bookcases are the same size and each requires 1/3 gallon of paint. How many bookcases will the custodian be able to repaint with that amount of paint?
4. Which of the following is an algebra tiles representation of 3x - 2 = -5?
Answer:
Equation
ans = -1
Step-by-step explanation:
3x-2=-5
3x=-5+2
3x=-3
x=-3/3
x=-1
find the missing length indicated
Answer:
192
Step-by-step explanation:
According to Euclidian theorem
x^2 = 144*(400-144)
x^2 = 144*256
x^2 = 36864 find the root of both
x = 192
Provide a rule to describe the relationship between the number in the sequence
1,4,9,16
Answer:
add 3, add 5, add 3
Step-by-step explanation:
1, 4, 9, 12
add 3, add 5, add 3
Answer:
x^2
Step-by-step explanation:
1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
And so on.
So, the rule is x^2.
Find the measure of
Answer:
<L is 90°
Step-by-step explanation:
all angles at the center are twice the angles at the circumference and the angle at the center is 180 meaning the angle at the circumference will be half of 180
I hope this helps
pls answer pls pls pls
= 3×4+3×3-5×2/12
=12+9-10/12
=21-10/12
=11/12
5(15-7y/3)+2y=-4
solve for y and plz show steps
Answer:
75 - 35y / 3 + 2y = -4
( 75 - 35y + 6y ) / 3 = -4 [ Taking LCM ]
( 75 - 29y ) / 3 = -4
75 - 29y = -12
29y = 75+12
29y = 87
y = 3
hope that helps ✌
