Answers
Answer:
x < - 3/2 or x > 48/5 (option a in your list of answers)
Step-by-step explanation:
We solve for x in each inequality:
12 x + 7 < -11
subtract 7 from both sides:
12 x < - 11 - 7
12 x < -18
divide both sides by 12 to isolate "x" on the left:
x < - 18 / 12
simplify a common factor 6 in numerator and denominator on the right:
x < - 3 / 2
Now the other inequality:
5 x - 8 > 40
add 8 to both sides:
5 x > 40 + 8
5 x > 48
divide both sides by 5:
x > 48 / 5
So the answer is:
x < - 3/2 or x > 48/5
which coincides with answer a) in your list.
Related Questions
solve the system of equations
y=x-2
x+y=10
Answers
Answer:
Step-by-step explanation:
x + x - 2 = 10
2x - 2 = 10
2x = 12
x = 6
y = 6 -2
y = 4
(6,4)
help me please i’ll do anything
Answers
Answer:
in the first one, she makes $7.50 per box
Step-by-step explanation:
looking at the graph
According to Boyle's Law, if the temperature of a confined gas is held fixed, then the product of the pressure P and the volume V is a constant, suppose that, for a certain gas, PV=800 where P is measured in pounds per square inch and V is measured in cubic inches.
A) Find the average rate of change of P as V increases from 200in^3 to 250in^3.
B) Express V as a function of P and show that the instantaneous rate of change of V with respect to P is inversely proportional to the square of P.
Answers
Answer:
I think its B
Step-by-step explanation:
Forgive me if I am wrong, give me brainliest if I am right!
2
[tex] 2 \times 2[/tex]
Answers
Answer:
4
Step-by-step explanation:
2 × 2 = 4
An Airliner has a capacity for 300 passengers. If the company overbook a flight with 320 passengers, What is the probability that it will not be enough seats to accommodate all passengers. Assume that the probability that a randomly selected passenger shows up to the airport is 0.96. Find the probability using the normal distribution as an approximation to the binomial distribution.
Answers
Answer:
The probability is [tex]P(X >300 ) = 0.97219 [/tex]
Step-by-step explanation:
From the question we are told that
The capacity of an Airliner is k = 300 passengers
The sample size n = 320 passengers
The probability the a randomly selected passenger shows up on to the airport
[tex]p = 0.96[/tex]
Generally the mean is mathematically represented as
[tex]\mu = n* p[/tex]
=> [tex]\mu = 320 * 0.96[/tex]
=> [tex]\mu = 307.2[/tex]
Generally the standard deviation is
[tex]\sigma = \sqrt{n * p * (1 -p ) }[/tex]
=> [tex]\sigma = \sqrt{320 * 0.96 * (1 -0.96 ) }[/tex]
=> [tex]\sigma =3.50 [/tex]
Applying Normal approximation of binomial distribution
Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as
[tex]P(X > k ) = P( \frac{ X -\mu }{\sigma } > \frac{k - \mu}{\sigma } )[/tex]
Here [tex]\frac{ X -\mu }{\sigma } =Z (The \ standardized \ value \ of \ X )[/tex]
=>[tex]P(X >300 ) = P(Z > \frac{300 - 307.2}{3.50} )[/tex]
Now applying continuity correction we have
[tex]P(X >300 ) = P(Z > \frac{[300+0.5] - 307.2}{3.50} )[/tex]
=> [tex]P(X >300 ) = P(Z > \frac{[300.5] - 307.2}{3.50} )[/tex]
=> [tex]P(X >300 ) = P(Z > -1.914 )[/tex]
From the z-table
[tex]P(Z > -1.914 ) = 0.97219[/tex]
So
[tex]P(X >300 ) = 0.97219 [/tex]
The standard height from the floor to the bull’s-eye at which a standard dartboard is hung at 5 feet 8 inches. A standard dartboard is 18 inches in diameter. Suppose a standard dartboard is hung at standard height so that the bull’s-eye is 10 feet from the wall to its left. Sasha throws a dart at the dartboard that land at point 10.25 Feet from the left wall and 5 feet above the floor. Does Sasha’s dart land on the dartboard? Drag the choices into the boxes to correctly complete the statements.
Answers
Answer:
Hello! I'm sorry I couldn't get to your question sooner. I just completed this quiz!
The equation of the circle that represents the dartboard is (x-10)^2 + (y-17/3)^2 = 9/16, where the origin is the lower-left corner of the room and the unit of the radius is feet.
The position of Sasha's dart is represented by the coordinates (10.25,5). Sash's dart does land on the dartboard.
This quiz was completed on k12, lesson 3.03.
The question is an illustration of equation of circles.
The equation of the dartboard circle is: [tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]Sasha's dart lands on the dartboard becauseFrom the question, we understand that:
[tex]\mathbf{h = 5\ ft\ 8\ in }[/tex] ---- the height at which the dartboard was hung
[tex]\mathbf{d = 18\i n }[/tex] ---- the diameter of the dartboard
[tex]\mathbf{B = 10ft}[/tex] --- the bull's eye
[tex]\mathbf{D = (10.25ft, 5ft)}[/tex] --- Sasha's dart
Equation of the circle
First, we convert all units to feet
This is done by dividing inches units by 12
[tex]\mathbf{h = 5\ ft\ 8\ in }[/tex]
[tex]\mathbf{h = 5\ ft\ + \frac{8}{12}\ ft }[/tex]
[tex]\mathbf{h = 5\ ft\ + \frac{2}{3}\ ft }[/tex]
Take LCM
[tex]\mathbf{h = \frac{15 + 2}{3}\ ft }[/tex]
[tex]\mathbf{h = \frac{17}{3}\ ft }[/tex]
[tex]\mathbf{d = 18\i n }[/tex]
[tex]\mathbf{d = \frac{18}{12}ft}[/tex]
[tex]\mathbf{d = \frac{3}{2}ft}[/tex]
Divide by 2 to calculate radius
[tex]\mathbf{r = \frac{3}{2*2}ft}[/tex]
[tex]\mathbf{r = \frac{3}{4}ft}[/tex]
The equation of the circle is represented as:
[tex]\mathbf{(x - a)^2 + (y - b)^2 = r^2}[/tex]
In this case:
[tex]\mathbf{a = B = 10ft}[/tex] -- the distance between the bull's eye and the wall
[tex]\mathbf{b = h = \frac{17}{3}\ ft }[/tex] ---- the height at which the dartboard was hung
So, we have:
[tex]\mathbf{(x - a)^2 + (y - b)^2 = r^2}[/tex]
[tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = (\frac 34)^2}[/tex]
Evaluate the exponents
[tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]
Hence, the equation of the circle is: [tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]
Does Sasha’s dart land on the dartboard?
Yes her dart lands on the dartboard because
[tex]\mathbf{D = (10.25ft, 5ft)}[/tex] is within the circumference of the dartboard
Read more about equation of circles at:
https://brainly.com/question/23988015
Maggie claims that there are transformations that preserve the length of the rectangle's sides. Which of the following transformations could be used to support Maggle's claim? Select all that apply.
reflection over the side RS
a translation of 10 units to the right
a rotation of 90' clockwise about vortex Q
a vertical stretch of scale factor 2 through contor C
a dilation of scale factor 1 through conter
Answers
Answer: B,D,E. Step-by-Step explanation
Transformation that preserve lengths are rigid transformation.
The options that support Maggie's claim are:
reflection over the side RS a translation of 10 units to the right a rotation of 90' clockwise about vortex QAll transformations are rigid transformation, except dilation.
Dilation are of two types
StretchCompressEither of the two above, do not preserve length
This means that:
Options (d) and (e) will not preserve the lengths of the rectangle, because they represent dilation
Hence, the correct options that will preserve the length of the rectangle are: (a), (b) and (c)
Read more about transformation at:
https://brainly.com/question/13801312
How do you solve for x?
Answers
20/8 = x/14
Solve, and your answer is x = 35
to be proportional, there must be a constant of proportionality
true or false
Answers
Answer:
True
Step-by-step explanation:
There must be a constant of proportionality.
Hope this helps!
How many edges are there on a cylinder?
Answers
Answer:
There are 0 number of edges on a cylinder
Find atleast 5 numbers between 1/2 and 1/3.
Answers
Answer:
12.2 12.3 12.4 12.5
Step-by-step explanation:
A river has a current of 2km per hour. Find the rate of Fred’s boat in still water if it travels 30 km downstream and the same time it takes to travel 14 km upstream.
Answers
Answer:
32km
Step-by-step explanation:
Write 9/18 as a decimal. Identify the decimal as terminating or repeating.
a. 0.5; repeating
b. 0.9; terminating
c. 0.5; terminating
d. 1; repeating
Answers
Answer:
it is c
Step-by-step explanation:
Answer:
C.) 0.5; Terminating
Step-by-step explanation:
Answer:
918=0.5
Showing the work
You can first reduce this fraction by dividing both the numerator and denominator by the Greatest Common Factor of 9 and 18 using
GCF(9,18) = 9
9÷918÷9=12
We know that
12
is the same as
1÷2
Then using
Long Division for 1 divided by 2
=0.5
Hope I helped
Brainliest plz
The equation of a circle is (x−2)2+(y+6)2=100. Find the equation of a circle that is externally tangent to the given circle and has a center at (14, 3).
Answers
Answer:
(x-14)^2+(y-3)^2=9
Step-by-step explanation:
equation of a circle is (x-h)^2+(y-h)^2=r^2
so center is (14,3) and is tangent externally means
(x-14)^2+(y-3)2=3^2
(x-14)^2+(y-3)^2=9 answer
The equation of a circle is externally tangent to the given circle and has a center at (14, 3) is [tex](x-14)^2 + (y-3)^2=9[/tex]
The standard formula for finding the equation of a circle is expressed as:
[tex](x-a)^2+(y-b)^2=r^2[/tex]
where
(a, b) is the centre
r is the radius
Given the center at (14, 3)
If the equation of a circle is externally tangent to the given circle and has a center at (14, 3), then the radius will be 3
Substitute the radius and the centre into the expression above to have:
[tex](x-14)^2 + (y-3)^2=3^2\\(x-14)^2 + (y-3)^2=9[/tex]
Hence the equation of a circle is externally tangent to the given circle and has a center at (14, 3) is [tex](x-14)^2 + (y-3)^2=9[/tex]
Learn more here: https://brainly.com/question/24217736
HELP ME PLEASE I NEED A 80%
Answers
Answer:
m [slope] = 5/2
Step-by-step explanation:
Find two points on the line where they are both integers(Whole numbers, positive or negative). (30,0) and (50,50).
There is a rise of 5 units for every run of 2 units.
(30,0) → (50,50) = (30 + 20, 0 + 50) : (x,y)
m = ∆y/∆x [Change in y over the change in x]
m = 50/20
m = 5/2
Please help me answer the question in the photo! Will give brainlist :)
Answers
Answer:
the answer is B because it make a 90* angle
The stock price of a company was $35. The stock price fell to $28. Which is the closest to the percent decease in this stock price?
Answers
Subtract the new value from original value to find the difference:
35 - 28 = 7
Divide the difference by the original amount and multiply by 100:
7/35 = 0.2 x 100 = 20%
The decrease was 20%
Answer:
20%
Step-by-step explanation:
First, subtract the new value from the original value to find the difference between the two.
35 - 28 = 7
Next, divide the difference by the original amount.
7 / 35 = 0.2
Then, multiply by 100.
.2 x 100 = 20%
We now know that the decrease was 20%
solve -3x^2=150
please help me
Answers
Answer:
x=5i√2,−5i√2
Tap to view steps...
Step-by-step explanation:
math, way, . , com
f(x)=x-5
g(x) = 2x+1
Write the expressions for (f-g)(x) and (f+g)(x) and evaluate (fg)(4).
Answers
Answer:
(f - g)(x) = -x - 6
(f + g)(x) = 3x - 4
(f*g)(4) = -9
Step-by-step explanation:
These are your equations:
f(x) = x - 5
g(x) = 2x + 1
To find (f - g)(x), subtract g(x) from f(x).
(f - g)(x) = x - 5 - (2x + 1)
(f - g)(x) = x - 5 - 2x - 1
(f - g)(x) = -x - 5 - 1
(f - g)(x) = -x - 6
To find (f + g)(x), add f(x) with g(x).
(f + g)(x) = x - 5 + 2x + 1
(f + g)(x) = 3x - 5 + 1
(f + g)(x) = 3x - 4
To find (f*g)(4), you need to first find (f*g)(4). You can do this by multiplying f(x) wih g(x).
(f*g)(x) = (x - 5)(2x + 1)
(f*g)(x) = 2x² - 9x - 5
Now that you have (f*g)(x), solve with x as 4.
(f*g)(4) = 2(4)² - 9(4) - 5
(f*g)(4) = 2(16) - 9(4) - 5
(f*g)(4) = 32 - 36 - 5
(f*g)(4) = -9
The required expression for (f-g)(x), (f+g)(x) and (fg)(4) are given as 3x - 4, -x - 6 and 11.
What are functions?Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
f(x)=x-5
g(x) = 2x+1
According to the question,
[f + g ](x) = x - 5 + 2x + 1 = 3x - 4
[f + g ](x) = 3x - 4
[f - g ](x) = x - 5 - 2x - 1
[f - g ](x) = -x - 6
(f.g)(x) = (x - 5)(2x + 1)
(f.g)(x) = 2x² -4x -5
(f.g)(4) = 2[4]² - 4[4] - 5
= 32 - 16 - 5
= 11
(f.g)(4) = 11
Thus, the required expression for (f-g)(x), (f+g)(x) and (fg)(4) are given as 3x - 4, -x - 6 and 11.
Learn more about function here:
brainly.com/question/21145944
#SPJ2
Which point is located at (-1,3)?
Answers
Answer:
C
Step-by-step explanation:
1 back, 3 up.
Therefore the answer is Point C.
X is -1 and Y is 3
Please give brainliest
someone help fast please
Answers
Answer:
c. supplementary angles
Step-by-step explanation:
HELP PLEASE BRAINLESS ANSWER GETS 20 POINTS
An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. Using d for distance in kilometers and t for number of hours, an
equation that represents this situation is d-50t.
Enter the smaller of the two constants of proportionality.
Answers
Answer:
t=8
Step-by-step explanation:
400 divided by 50 hopefully that helps with your question
Determine the midpoint of the segment with endpoints of (-3, 8) and (-3,
-2).
Answers
Answer:
(-3,3)
Step-by-step explanation:
What is the greatest common factor of 22 and 11?
Answers
Answer:
ur answer is 11 hopefully that's help
Alex is making a candy that contains 75% white chocolate and the rest peppermint sticks. The candy has 3 pounds
of peppermint sticks.
Part A: Write an equation using one variable that can be used to find the total number of pounds of white
chocolate and peppermint sticks in the candy. Define the variable used in the equation. (5 points)
Part B: How many pounds of white chocolate are present in the candy? Show your work. (5 points)
Answers
Answer:
163
Step-by-step explanation:
FOR EXAMPLE:
Christa and her family went out for pizza and it cost $28. In Tennessee we have a sales tax that is 7% which has to be paid along with $28. What is the sales tax on $28?
Answers
Please help people!!!!! I’m stupid
X=8(1+2+3+...+49)+1225
Answers
Please help ASAP!!! Will give brainlist!
Answers
Answer:
the last 1
Step-by-step explanation:
What is 6√2⋅√11−2√22 expressed in simplified form?
Answers
Hope this help you!!! :))
a spring of original length 25 cm was stretched to a new length of 28 cm when a force of 12 n was applied. what would its new length be if the applied force is doubled?
a. 31 cm
b. 35 cm
c. 50 cm
d. 45 cm
Answers
Answer:
A. 31 cm
Step-by-step explanation:
Hopefully its right :)