Answers
[tex]\\ \rm\rightarrowtail -4(2x+1)\leqslant 3(x-5)[/tex]
[tex]\\ \rm\rightarrowtail -8x-4\leqslant 3x-15[/tex]
[tex]\\ \rm\rightarrowtail -11x\leqslant -11[/tex]
[tex]\\ \rm\rightarrowtail x\geqslant 1[/tex]
Answer:
x ≥ 1
Step-by-step explanation:
Given inequality :
-4(2x + 1) ≤ 3(x - 5)
Step 1 : Expand on both sides
-4(2x + 1) ≤ 3(x - 5)-8x - 4 ≤ 3x - 15Step 2 : Bring x terms to one side and numerical terms to the other
-8x - 4 ≤ 3x - 15-11x ≤ -11Step 3 : Divide by -11 on both sides
Remember when dividing by a negative number, the sign always changes to become the opposite-11x ≤ -11x ≥ 1
Solution
x ≥ 1
Related Questions
. Find the slope of the line through the points (-5, 86) and (95, 16).
Answers
The slope's equation is:
⇒ [tex]\frac{y2-y1}{x2-x1}[/tex]
Since the two points are (-5,86) and (95,16)
⇒[tex]slope = \frac{16-86}{95--5} =-\frac{70}{100} =-\frac{7}{10}[/tex]
Thus the slope is -7/10.
Hope that helps!
Write the converse of the following statement and determine its truth value:
"If a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1:8"
for brainliest
Answers
Answer:
The converse is:
if the ratio of lefties to righties is 1 : 8, then for every 3 left handed people, there are 24 right handed people.
The truth value is:
True
Step-by-step explanation:
The statement can be split into:
p -> If a class has 3 left-handed people and 24 right-handed people,
q -> the ratio of lefties to righties is 1:8
The converse of a conditional statement is:
if q then p
So, we have the converse to be;
if the ratio of lefties to righties is 1 : 8, then for every 3 left handed people, there are 24 right handed people.
The truth value.
For p, we have.
Ratio = 3 : 24
This can be simplified to.
Ratio = 1 : 8
For q, we have:
Ratio = 1 : 8
Since both are true, then the truth value is true
As it emerges from the cross multiplication performed, the statement is correct.
Since it is stated that "If a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1: 8", to determine if this statement is correct the following calculation must be performed:
1 = 3 8 = X 8 x 3 = X 24 = X
Therefore, as it emerges from the cross multiplication performed, the statement is correct.
Learn more in https://brainly.com/question/1504221
Does this graph show a function??
Answers
Answer:
yes
Step-by-step explanation:
the function does not cross the same point of x twice.
Answer:
B.) Yes; The graph passes the vertical line test!
Step-by-step explanation:
This graph does indeed show a function! A parabola, it looks like!
A function on a graph is determined when the function passes the vertical line test, meaning no matter where you go on the function, a specific vertical line will only pass through one point!
I hope I was of assistance! #SpreadTheLove <3
If a(x)= 2x -4 and b(x) = x + 2, which of the following expressions produces a quadratic function? O (ab)(x) O(a/b)(x) O(a-b)(x) O(a+ b)(x)
Answers
Answer:
(ab)(x)Step-by-step explanation:
Given are 2 linear functions
Only their product can produce a quadratic function
So the correct option is
(ab)(x)Find the length of KNJ
Answers
Step-by-step explanation:
The length of arc KNJ is the circumference of the entire circle minus the measure of the 48 degree arc.
This means the central angle of this sector KNJ is 360-48=312.
Using the arc length formula, we get the arc length is (2)(pi)(16)(312/360)=416pi/15.
the temperature in london is -5 at midnight at midday the temperature is 10c how much did the tempeture increase by?
Answers
Answer:
the temperature increased 1.25°c per hour
In those twelve hours the total increase was 15°c
Step-by-step explanation:
Divide the total temperature increase and the total of hours
[tex]15 \div 12 = 1.25[/tex]
and that's how you get how many degrees it increased each hour from midnight to midday
What is the simplified form of the following expression? 13[62 ÷ (52 – 42) + 9]
Answers
Answer:
197.6
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write expression
13[62 ÷ (52 - 42) + 9]
Step 2: Brackets - Parenthesis (Subtract)
13[62 ÷ 10 + 9]
Step 3: Brackets - Division
13[6.2 + 9]
Step 4: Brackets - Addition
13[15.2]
Step 5: Multiply
197.6
what’s 1x2x5????
please answer this is urgenttt
Answers
Answer:
10
Step-by-step explanation:
2 x 5 = 10, the 1 does nothing to change the answer
Answer:
Its 10 its too easy . why are you asking this type of simple quesrion.
please help no links may attach files or text box explanation
the answer picked may not be the answer please dont assume
Answers
Answer:
the rule is adding
Step-by-step explanation:
Answer:
You are right
Step-by-step explanation:
Pattern A: 0, 2, 4, 6, 8, 10
Pattern B: 0, 4, 8, 12, 16, 20
1/2 of 4 = 2
1/2 of 8 = 4
1/2 of 20 = 10
Hope this helps!
How long is 10% of a 24 hour day
Answers
Answer:
2.4 hours
Step-by-step explanation:
hsjwkwjwjwwiwjjwjw
Answer:
around 2hours and 24 mintues
Step-by-step explanation:
just divied it
Consider the sequence -1,3,-9,27,-81
write an explicit formula to find the nth term.
find the 10th term of the sequence as well
Answers
Answer:
I don't know the answer but have a amazing day!<3
Step-by-step explanation:
Be happy.
hi i need help asap
A=
B=
Answers
Answer:
[tex]\rightarrow \sf 8\sqrt[3]{2}[/tex]
explanation:
[tex]\rightarrow \sf \sqrt[3]{x^{10}}[/tex]
insert -2 as x
[tex]\rightarrow \sf \sqrt[3]{(-2)^{10}}[/tex]
simplify
[tex]\rightarrow \sf \sqrt[3]{1024}}[/tex]
breakdown
[tex]\rightarrow \sf \sqrt[3]{2 * 8^3}}[/tex]
final answer
[tex]\rightarrow \sf 8\sqrt[3]{2}[/tex]
→ This a = 8 and b = 2
Answer:
[tex]8\sqrt[3]{2}[/tex]
Therefore, a = 8 and b = 2
Step-by-step explanation:
Substitute [tex]x=-2[/tex] into the expression:
[tex]\implies \sqrt[3]{(-2)^{10}}[/tex]
Apply exponent rule [tex](-a)^n=a^n[/tex] if n is even:
[tex]\implies \sqrt[3]{2^{10}}[/tex]
Apply exponent rule [tex]a^{b+c}=a^b \cdot a^c[/tex]
[tex]\implies \sqrt[3]{2^9\cdot2^1}[/tex]
Apply radical rule [tex]\sqrt[n]{ab} =\sqrt[n]{a} \sqrt[n]{b}[/tex]
[tex]\implies \sqrt[3]{2^9}\sqrt[3]{2}[/tex]
Apply radical rule [tex]\sqrt[n]{a^m} =a^{\frac{m}{n}}[/tex]
[tex]\implies 2^{\frac{9}{3}}\sqrt[3]{2}[/tex]
Simplify:
[tex]\implies 2^3\sqrt[3]{2}[/tex]
[tex]\implies 8\sqrt[3]{2}[/tex]
Therefore, a = 8 and b = 2
What is the domain of Ax) = 4*?
O A. All nonnegative real numbers
O B. All real numbers greater than 4
O C. All real numbers
O D. All real numbers greater than or equal to 4
Answers
Answer: all real numbers!! <3
Step-by-step explanation:
write 16/20 in simplest form
Answers
Answer:
Your answer is 4/5
Step-by-step explanation:
1/3 plus -2 1/4 equals what
Answers
Answer:
-1 11/12
Step-by-step explanation:
1/3=4/12 -2 1/4= -9/4 = -27/12
4/12 + -27/12 = -23/12
-23/12 = -1 11/12
Write the equation in standard form for the circle with radius 9 centered at the origin
Answers
Answer:
x² + y² = 81
Step-by-step explanation:
Standard form for the equation of a circle: (x - h)² + (y - k)² = r²
(where (h, k) is the center and r is the radius)
Given:
radius (r) = 9center of circle = (0, 0)⇒ (x - 0)² + (y - 0)² = 9²
⇒ x² + y² = 81
What are the values of s and t?
Answers
Answer:
s=144
t=36
Step-by-step explanation:
you minus 180 from 36 and you get 144 for s
then you minus 180 from 144 to get t
Answer:
t = 36°
s = 108°
Step-by-step explanation:
FE and DE are congruent. This means that triangle ΔDEF is isosceles.
Base angles (∠EFD and ∠EDF) in isosceles triangles are congurent.
∠EFD is 36°. This means that ∠t is also 36°
The measure of all the angles in a triangle is 180°
[tex]36+36+x=180\\72+x=180\\x=108[/tex]
∠s = 108°
Juan is building a set for the school musical. He has a 3 foot board that he needs to divide into 1/2 foot pieces. How many pieces will he have after he cuts the board?
Answers
Answer: 6
Step-by-step explanation:
3 divide 1/2=3x2/1
3x 2/1=6
which of these pairs of points defines a line with a slope 3/5
A. (0, 4) and (7, 5)
B. (4, 0) and (7, 5)
C. (4, 0) and (5, 7)
D. (0, 4) and (5, 7)
Answers
Answer:
DDD
Step-by-step explanation:
if the cost of 10 books I'd Rs.300 find the cost of 4 books
Answers
Answer:
300 divided by 10 is equal too 30
and 30 times 4 is equal too 120
The Answer is 120
Step-by-step explanation:
Please Solve!! WILL GIVE BRAINLY!!
6b+7b<6b
Answers
Answer:
b is less than or equal to 0
Step-by-step explanation:
if we replace b with 0, the equation is true. if we take a number less then 0, for example -2, the equation is still true.
Answer:
6b-.6=7b
Step-by-step explanation:
The area of a rectangle is 81 square inches. Given that the length is 9 inches more
than twice the width, find the dimensions of the rectangle.
Answers
Answer:
I believe would be 9•3•3=81 I hope that helps
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answers
Answer:
Step-by-step explanation:
Assume the deep end has a larger volume, the difference in volume between the deep end and shallow end is:
Volume of the deep end - Volume of the shallow end
= (2x^2 + 12x + 10) - (4x^2 - 100)
= (2x^2 - 4x^2) + 12x + 10 + 100
= -2x^2 + 12x + 110 ft^3
Lets subtract
[tex]\\ \tt\Rrightarrow 2x^2+12x+10-(4x^2-100)[/tex]
[tex]\\ \tt\Rrightarrow 2x^2+12x+10-4x^2+100[/tex]
[tex]\\ \tt\Rrightarrow 2x^2-4x^2+12x+10+100[/tex]
[tex]\\ \tt\Rrightarrow -2x^2+12x+110ft^2[/tex]
A metronome uses an inverted pendulum rod to control tempo. A weight can be slid up the pendulum rod to decrease tempo, or down the pendulum rod to increase tempo. A second fixed weight is hidden inside the metronome at the base of the pendulum. The longer the distance between the two weights, the slower the tempo. This equation is used to calculate the frequency of the metronome pendulum:
[tex]f = \frac{ \sqrt{ \frac{g}{l} } }{2\pi} [/tex]
Each time the metronome's pendulum completes one back and forth cycle, it produces two ticks or beats. To calibrate the metronome for beats per minute (bpm) the manufacturer needs to know the length of the pendulum for various tempos. Solve
[tex]f = \frac{ \sqrt{ \frac{g}{l} } }{2\pi} [/tex]
for L.
Answers
Answer:
Part 1
Multiply both sides by 2π
2πf = √(g/L)
Square both sides
4π²f²= g/L
Invert both sides
1/(4π²f²) = L/g
Multiply both side by g
g/(4π²f²) = L
We usually write an equation with the subject (L) n the left
L = g/(4π²f²)
________________________
Part 2
Using the above equation with the given values:
L = g/(4π²f²)
. .= 9.8 / (4π² x 1.6²)
. .= 0.097m (= 9.7cm)
________________________
By the way, where it says
“f=1.6 then there are 2 beats a second, or 192 beats per minute (bpm).”
this should say
“f=1.6 then there are 3.2 beats a second, or 192 beats per minute (bpm)”
Step-by-step explanation:
The values are L = g/(4π²f²) and L.= 0.097m (= 9.7cm)
What is equation?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Here, we have,
Part 1
Multiply both sides by 2π
2πf = √(g/L)
Square both sides
4π²f²= g/L
Invert both sides
1/(4π²f²) = L/g
Multiply both side by g
g/(4π²f²) = L
We usually write an equation with the subject (L) n the left
L = g/(4π²f²)
________________________
Part 2
Using the above equation with the given values:
L = g/(4π²f²)
L.= 9.8 / (4π² x 1.6²)
L.= 0.097m (= 9.7cm)
Hence, The values are L = g/(4π²f²) and L.= 0.097m (= 9.7cm).
To learn more on equation click:
brainly.com/question/24169758
#SPJ2
Sandra pays $15.75 for every 7 movie she rents which graph models relationships with the same unit rate
Answers
find the value of X also show the process please
Answers
Answer: 36
Step-by-step explanation:
i need help asap, pls help!!
Answers
Answer:
see below
Step-by-step explanation:
Since the triangles are congruent
<A = <X
< B = < Y
<C = < Z
That means B = Y = 90
And C = Z = 37
The sum of the angles of a triangle are 180
A+ B+ C = 180
A + 90+37 = 180
A +127 = 180
A = 180-127
A =53
A = X = 53
We also know
AB = XY
BC = YZ
AC = XZ
AB = 3 so XY =3
YZ = 4 so BC =4
XZ = 5 so AC = 5
What is the percent of change in the cost of a DVD set that originally sold for $49.99 and is now on sale for $24.99?
What is the percent change?
Answers
Answer:
50% change.
explanation:
original cost: $49.99final cost: $24.99change: $49.99 - $24.99 = $25
[tex]\sf percent \ change: \dfrac{\$25}{\$49.99} *100 \ \ = 50 \%[/tex]
The diameter of a circle is 26 inches. What is the circle's area?
Use 3.14 for .
i will give brainliest
Answers
Answer:
530.66 inches²
Step-by-step explanation:
How do we find the radius?
The radius if 1/2 of the diameter, so 26/2 = 13 inchesHow do we find the area of a circle?
The area of a circle is πr², where r = radius. We are given the radius as 13 inches, and pi is approximated to 3.14.Solving
[tex]3.14*13^2[/tex] [tex]3.14*169[/tex] [tex]530.66[/tex]Therefore, the answer is 530.66 inches².
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Solution:
We know that:
Diameter = 26 in.Radius = Diameter/2Area of circle = πr²Finding the radius of the circle.
Radius = Diameter/2=> Radius = 26/2 = 13 in.Finding the area of the circle.
Area of circle = πr²=> Area of circle = (3.14)(13²)=> Area of circle = 3.14 x 169=> Area of circle = 530.66 in²Factor completely x8 − 16. (x4 − 4)(x4 4) (x2 − 2)(x2 2)(x4 4) (x2 − 2)(x2 2)(x4 − 4) (x2 − 2)(x2 − 2)(x4 − 4).
Answers
By using identity we got the factorization form of [tex]x^8-16[/tex] as [tex](x^4+4)(x^2+2)(x-\sqrt2)(x+\sqrt2)[/tex]
What is factorization?factorization is a way of writing any expression in form of product of some expressions
Given polynomial
[tex]x^8-16[/tex]
We can factorize it as
[tex]x^8-16\\\\(x^4)^2-4^2\\\\(x^4+4)(x^4-4)\\\\(x^4+4)((x^2)^2-2^2)\\\\(x^4+4)(x^2+2)(x^2-2)\\\\(x^4+4)(x^2+2)(x^2-(\sqrt2)^2)\\\\(x^4+4)(x^2+2)(x-\sqrt2)(x+\sqrt2)[/tex]
By using identity we got the factorization form of [tex]x^8-16[/tex] as [tex](x^4+4)(x^2+2)(x-\sqrt2)(x+\sqrt2)[/tex]
To learn more about factorization visit :brainly.com/question/25829061
Answer:
B. 3x2y(3x2 − 2xy + y2)
Step-by-step explanation:
I just took the test <3