Answer:
3x-2 ≥ 4
Step-by-step explanation:
3x-2 _ 4
3x _ 4+2
3x _ 6
x _ 2
Therefore, x ≥ 2
3x-2 ≥ 4
Which of the following shows the correct simplification assuming the denominator is not equal to zero?
Answer:
[tex]=\frac{3x+2}{x\left(x+1\right)}[/tex]
or
[tex]\frac{(3x+2)}{x^2+x}[/tex]
Step-by-step explanation:
[tex]\frac{2}{x}+\frac{1}{x+1}\\\mathrm{Least\:Common\:Multiplier\:of\:}x,\:x+1:\quad x\left(x+1\right)\\Adjust\:Fractions\:based\:on\:the\:LCM\\Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its\\\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\:x\left(x+1\right)\\\mathrm{For}\:\frac{2}{x}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x+1\\\frac{2}{x}=\frac{2\left(x+1\right)}{x\left(x+1\right)}\\[/tex]
[tex]\mathrm{For}\:\frac{1}{x+1}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x\\\frac{1}{x+1}=\frac{1\cdot \:x}{\left(x+1\right)x}=\frac{x}{x\left(x+1\right)}\\=\frac{2\left(x+1\right)}{x\left(x+1\right)}+\frac{x}{x\left(x+1\right)}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{2\left(x+1\right)+x}{x\left(x+1\right)}\\[/tex]
[tex]\mathrm{Expand}\:2\left(x+1\right)+x:\quad 3x+2\\2\left(x+1\right)+x\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=2,\:b=x,\:c=1\\=2x+2\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:1=2\\=2x+2\\\mathrm{Simplify}\:2x+2+x:\quad 3x+2\\2x+2+x\\\mathrm{Group\:like\:terms}\\=2x+x+2\\\\mathrm{Add\:similar\:elements:}\:2x+x=3x\\=3x+2\\=\frac{3x+2}{x\left(x+1\right)}[/tex]
Solve.
-6x^2 - 2 - 3x=-8
a)x=5+√57÷16
b)x=-4+√34÷3
c)x=-7+3√41÷16
d)x=1+√17÷-4
Answer:
So the d) is right.
Step-by-step explanation:
we have:
-6x^2 - 2 - 3x=-8
6x^2 + 3x - 6 =0
The delta = 3^2 -4*6*(-6) = 9 + 144 = 153= 9*17
These 2 solutions are:
[tex]x_{1} =\frac{-3+3\sqrt{17} }{2*6} = \frac{-3+3\sqrt{17} }{12} =\frac{-1+\sqrt{17} }{4} \\x_{2} =\frac{-3-3\sqrt{17} }{2*6} = \frac{-3-3\sqrt{17} }{12} =\frac{-1-\sqrt{17} }{4}[/tex]
So the d) is right.
Determine the ratio of the directed line segment AB when partitioned by point P.
Answer:
Step-by-step explanation:
Which line has a slope of -2 and goes through the point (-2, 3) ?
y=−2x−1
y=−1/2x+3
y=1/2x−5
y=2x+1
Answer:
y=-2x-1
Step-by-step explanation:
Since the m term in this equation (the number that comes right before the x) is -2, that means that the slope of this line is -2.
check out the square pyramid
Answer:
your answer should be 40
Step-by-step explanation:
the square's area is 4x4=16
and the triangles are 4(.5(3x4))=24
24+16=40
Which points could be on the line that is parallel to Line G H and passes through point J? Check all that apply. (–3, 5) (1, 5) (3, −2) (3, 2) (5, 1)
Answer: (-3,5),(3,2),(5,1)
Step-by-step explanation:
Answer:
ade
Step-by-step explanation:
Math question down below
Answer:
p < 1500
Step-by-step explanation:
Answer:p is more than or equal to (> with line under) 1500.
Step-by-step explanation:
If (2 - 3) + (x + y) = 6, what is x + y?
4 + 3
B.
4-31
C.
-4 - 31
-4+ 37
4x + 37
Given the exponential equation y=34(5)x, what is the y-intercept (or starting point) of the graph?
Answer:
34
Step-by-step explanation:
Given
y = 34[tex](5)^{x}[/tex]
To find the y- intercept let x = 0, that is
y = 34[tex](5)^{0}[/tex] = 34 × 1 = 34 ← y- intercept
In the diagram of circle A, what is m angle LMN?
О 75°
O90°
О 120°
135°
ОО
Answer:
90
Step-by-step explanation:
Angle Formed Outside = 1/2(DIFFERENCE of Intercepted Arcs)
ARC LN = 360 - 270 =90
LMN = 1/2(270 -90)
= 1/2 (180)
= 90
Answer:
90
Step-by-step explanation:
If PQ is tangent to circle R at point Q and PS is
tangent to ⊙R at point S, what is the perimeter
of quadrilateral PQRS?
Answer:
Perimeter of the quadrilateral PQRS is 25 units
Step-by-step explanation:
From the figure attached,
PQ is a tangent to the given circle so m∠PQR = 90°
Now we apply Pythagoras theorem in the ΔPQR,
PR² = PQ² + QR²
(PT + TR)²= PQ² + 5²
(4 + 5)² = PQ² + 25
81 = PQ² + 25
PQ = √(81 - 25)
= √56
≈ 7.5 units
PQ ≅ PS ≅ 7.5 units
[Since measures of tangents drawn from a point to a circle are always equal]
Perimeter of PQRS = PQ + QR + RS + PS
= 7.5 + 5 + 5 + 7.5
= 25 units
Therefore, perimeter of the quadrilateral PQRS is 25 units.
Answer:
10 + 4 square root 14
Step-by-step explanation:
so the person below or above me said 25 units and they are not wrong it just the did have it in a simple equation like this ^
so 4 square root 14 = 14.9 or 15
then 10 + 15 = 25 units
so the correct answer is 10 + 4 square root 14
I ALSO TOOK THE TEST AND IT WAS CORRECT :)
If Jay has an 85 average over four exams, what would his average need to be on his
last two exams to bring his average up to an 88?
Answer:
91 average for his next exams
Step-by-step explanation:
he has an 85 right now. if he gets a 91 then his overall average will be an 88 like he wanted.
(this is how u find average) ( add them together then divide it by how many numbers there are)
85+91=176
176/2= 88
therefore the average on his next 2 exams must be
91
hope this helps! <3
THIS IS NOT A QUESTION!
This is a list of Area and Perimeter on the coordinate plane answers from Khan Academy.
approximate perimeter of STRIPE is 36.01
area of rectangle TOUR is 80
perimeter of of polygon CHOMP is 32.52
area of parallelogram YORK is 122
the area of trapezoid MASK is 34
The approximate perimeter of polygon CODIFY is 51.53
The area of triangle SOL is 52
The approximate perimeter of polygon DINGO is 34.44
the approximate perimeter of the isosceles triangle PAZ is 20.03
the area of triangle CAW is 10
The approximate perimeter of rectangle PEAR is 34.99
The area of trapezoid COWL is 45
The area of triangle TOP is 87/2 units
The approximate perimeter of triangle VEN is 29.80
The area of parallelogram TOWN is 40
the approximate perimeter of quadrilateral BOAT is 30.34
Omg! Thank you. I was stuck for like an hour till I found this.
Answer:
Omg, thank you so much
Step-by-step explanation:
Solve for a.
a + (-1.3) = -4.5
Enter your answer in the box.
Answer:
a=(-3.2)
Step-by-step explanation:
a+(-1.3)=(-4.5)=a-1.3=(-4.5)
a=(-3.2)
Please mark as Brainliest! :)
Have a nice day.
Answer:
a=-3.2
Step-by-step explanation:
Simplify the equation:
a - 1.3 =-4.5
Add 1.3 to both sides:
a -1.3 +1.3 =-4.5+1.3
a=-3.2
box plot i dont understand any thing about it
Answer:
Just put the numbers in order then the interquartile range would be the largest number from the high quartile and the lowest number from the lower quartile.
Use the distance formula to write an equation of the parabola with focus F(0, -13) and directrix y=13
y=?
(FINALEXAM)
Answer:
-1/52 x^2
Step-by-step explanation:
4p(y-k)=(x-h)^2
4(-13)y=x^2
-52y=x^2
y=-1/52 x^2
a rectangular field has side lengths that measure 9/10 mile and 1/2 mile what is the area of the field
Answer:
[tex]\frac{9}{20}miles^2=0.45miles^2[/tex]
Step-by-step explanation:
To find the area of a rectangle:
[tex]a=l*w[/tex]
where [tex]l[/tex] is the length and [tex]w[/tex] is the width.
In this case:
length: [tex]l=\frac{9}{10}miles[/tex]
width: [tex]w=\frac{1}{2} miles[/tex]
thus, we multiply this quantities to find the area:
[tex]a=(\frac{9}{10} miles)(\frac{1}{2}miles )\\\\a=\frac{9*1}{10*2}miles^2\\ \\a=\frac{9}{20}miles^2[/tex]
the area of this rectangle is 9/20 miles squared, or what is the same 0.45 miles squared
Write an equation in slope-intercept form for the line that passes through (−2,−5) and is parallel to the line described by y=2x+5 .
Answer:
Step-by-step explanation:
y + 5 = 2(x + 2)
y + 5 = 2x + 4
y = 2x - 1
HELP ME PLEASE!!!
I don't understand...
If possible, please explain!
Answer:
saa.
Step-by-step explanation:
if you look at where the triangles connect, you will see they share an angle. that makes those two congruent. then yousee the SAA thrm. you go side (the line through one side) then the angle (the one that the two triangles share) then angle (the two marked congruent angles)
The box plot shows the number of years during which 16 schools have participated in a marching band competition: At least how many schools have participated for 3 to 7 years? (4 points) Group of answer choices 3 schools 5 schools 7 schools 8 schools
Answer:
I believe its 7 schools, i might be wrong. What quiz is it?
Step-by-step explanation:
Complete the point slope equation of the line through (1,3) and (5,1)
Answer:
Step-by-step explanation:
(1-3)/(5-1)= -2/4= -1/2
y - 3 = -1/2(x - 1)
y - 3 = (-1/2)x + 1/2
y - 6/2 = (-1/2)x + 1/2
y = (-1/2)x + 7/2
PLSSS HELPPP
MARKING BRAINLIST !!!!!!
Answer:
First Option; 40,
Second Option; x = 3,
Third Option; x = - 5,
Fourth Option; x = 0
Step-by-step explanation:
Given the expression x^2 + 3 * ( x + 4 ), where x = 4;
x^2 + 3 * ( x + 4 ) ⇒ Substitute the value of 4 in replacement of x,
( 4 )^2 + 3 * ( 4 + 4 ) ⇒ Add the terms in ( ), taking 4^2 at the same time,
16 + 3 * ( 8 ) ⇒ By PEMDAS, multiply 3 by 8 first,
16 + 24 ⇒ And now add the remaining terms,
Solution; 40
This next equation is given to be 5 * ( 2x - 1 ) = 25, where we must solve for x;
5 * ( 2x - 1 ) = 25 ⇒ Distribute the 5 to the terms in ( ),
10x - 5 = 25 ⇒ Add 5 on either side of the equation,
10x = 30 ⇒ Divide 10 on either side of equation,
Solution; x = 3
Here we must solve for the value of x provided the equation 6x + 4 - x = 2x - 11;
6x + 4 - x = 2x - 11 ⇒ Add 11 on either side,
6x + 15 - x = 2x ⇒ Add x on either side of equation,
6x + 15 = 3x ⇒ Subtract 6x on either side,
15 = - 3x ⇒ Divide 3 on either side,
Solution; x = - 5
Now we are given the equation 4 - ( 3x + 4 ) = - 9x, solving for the value of x;
4 - ( 3x + 4 ) = - 9x ⇒ Distribute the - 1 to all terms in ( ),
4 - 3x - 4 = - 9x ⇒ Add 3x on either side of equation,
4 - 4 = - 6x ⇒ Subtract 4 from 4,
0 = - 6x ⇒ Divide - 6 on either side,
Solution; x = 0
Jeremy had 5 Roosevelt dimes, 3 Kennedy half dollars, and 8 silver dollars in his coin collection worth a total of $231.
D=collector value of a dime
H=collector value of a half dollar
S=collector value of a silver dollar
Write a linear equation showing the number of each coin
A) 0.50d+1.50h+8s=231
B) 5d+3h+8s=231
C) d+h+8s=231
D) 0.10d+0.50h+1s=231
PLS HELP! I’ll give brainliest
The amount in equation is 5d + 3h + 8s = 231.
What is linear equation?A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Given:
Jeremy had 5 Roosevelt dimes,
3 Kennedy half dollars,
and 8 silver dollars in his coin.
Total amount = $231
As, let d be the collector value of a dime
let h be the collector value of a half dollar
let s be the collector value of a silver dollar
Now, to represent the amount in equation
5d + 3h + 8s = 231
Learn more about equation here:
https://brainly.com/question/11897796
#SPJ5
Select the equivalent expression.
(2^-4 x z^-3)^5 =
Choose 1 answer:
Answer:
A
Step-by-step explanation:
[tex](2^{-4}z^{-3})^{5}[/tex]
several ways to approach this.
use power rule. [tex](a^{m} )^{n} = a^{mn}[/tex]
[tex](2^{(-4*5)}z^{(-3*5)} )[/tex]
[tex](2^{-20} z^{-15} )[/tex]
RULE: [tex]x^{-1} = \frac{1}{x}[/tex]
[tex]\frac{1}{(2^{20}z^{15}) }[/tex]
Evaluate 6p, when p=4
Answer:
24
Step-by-step explanation:
6(4) = 24
Answer:
24
Step-by-step explanation:
Will give brainliest answer
Answer:
2
Step-by-step explanation:
The radius is half of the distance across the circle
The answer is 2 units
The expression 10x + 25 can represent the area of the figure below. Which answer choice shows this expression when factored correctly?
Pls help!
Answer:
the correct answer would be 5(2x+5)
Step-by-step explanation:
Find the greatest common factor to divide the two numbers by. That would be 5.Divide the two numbers by 5 and then put the five outside some parenthesis. 5(2x+5). And then there you have it. That's the answer.Organize the functions from the least to greatest according to their y-intercepts.
Answer:
last, second, first
Step-by-step explanation:
least to greatest from y intercepts (5, 2, 3)
Find the area. Will mark brainliest.
Answer:
216
Step-by-step explanation:
I think that it is 216 because if you add 18 and 10 you get 28 then multiply 28 by 12 then you get 336. Then you will find the area of the unshaded part which is 120. Then you will subtract 120 from 336 to get 216.
Hope this helps
The scatter plot bellow shows the relationship between two variables,x and y.Which line best fits the data ?
The fist left
The first in the right
The second in the left
The second in the right ?
Answer:
The fist left
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
We need to understand what is the line of best fit
A line representing the best data on a distributed chart. This line can go through some points, no point or all points.
In the attached photo, we can see that the 1st left line is the best represent for the relationship between two variables,x and y.
Hope it will find you well.