Answers
If the first inequality is written as:
3x ≤ -12
Then the correct option is D.
If it is written as it is in the problem, then neither of the graphs is the correct option.
How to solve the compound inequality?
Here we have the inequalities:
3x ≤ 12
2x + 3 > 11
(notice that in all the options, the first inequality has a negative sign, while in the two given inequalities there are no negative sign. This means that you will never get the correct answer if you use the given information, as the problem is incorrectly written).
First, we need to isolate x on both inequalities, we will get:
3x ≤ 12
x ≤ 12/3
x ≤ 4
(As you can see, because we don't have the negative sign, this inequality is different to all the ones in the options).
And for the other:
2x + 3 > 11
2x > 11 - 3
x > 8/2
x > 4
So neither of the options is actually correct.
If we instead write the first inequality as:
3x ≤ -12
We would solve this as:
x ≤ -4
And in that case, our two inequalities are:
x ≤ -4
x > 4
So the correct graph is graph D.
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Related Questions
A jacket is on sale for 70% of the original price.if the discount saves $140,what was the original price of the jacket
Answers
Answer:
$200
Step-by-step explanation:
Consider the original price be x
As per the question
⇒x×70%=140Solving the equation yields:
⇒0.7x=140⇒0.7x/0.7=140/0.7⇒x=1400/7⇒x=200In conclusion
the original price of the jacket was $200
F(x)=-x^2+3 find(-2)
Answers
Answer:
F(-2) = 7
Step-by-step explanation:
Finding a specific point on a function given the x position can be done by substituting x in the function for the given number, then solving said function. The value on the right side of the function is the y position.
For this specific function [F(x) = x² + 3], substitute x for -2.
F(-2) = (2)² + 3
Next, solve the equation.
F(-2) = 4 + 3
F(-2) = 7
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Required answer: f(2) = -1
Detailed explanation:
To find f(-2), we will substitute -2 for x in the function:
[tex]\bf{f(x)=-x^2+3}[/tex]
[tex]\bf{f(-2)=-(-2)^2+3}[/tex]
[tex]\bf{f(-2)=-4+3}[/tex]
[tex]\bf{f(-2)=-1}[/tex]
[tex]\hrulefill[/tex]
Have a wonderful day!
Ex. 11 An apple computer has a retail price of $1000. Jim's House of Electronics is having a "20%-off sale",
in which all items are discounted to 20% less than retail. Allan has a coupon for 30% off the sale price of
any apple computer. How much does Allan have to pay for a new computer?
Answers
2x²-5x-12=0 (simplify solution set)
Answers
Answer:
x = 4 or x = -3/2
Step-by-step explanation:
To simplify and solve this, let's use the quadratic formula.
So the format of a quadratic equation is supposed look like this:
[tex]ax^2+bx+c=0[/tex]
Let's find a, b, c:
a is the coefficient of x^2b is the coefficient of xc is the constant termNow let's solve the equation.
Let's solve your equation step-by-step.
2x^2−5x−12=0
For this equation: a=2, b=-5, c=-12
2x^2+−5x+−12=0
Step 1: Use quadratic formula with a=2, b=-5, c=-12.
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-(-5)\pm\sqrt{(-5)^2-4(2)(-12)} }{2(2)}[/tex]
[tex]x=\frac{5\pm\sqrt{121} }{4}[/tex]
[tex]x=4[/tex] or [tex]x=\frac{-3}{2}[/tex]
Answer:
x = 4 or x = -3/2
Can you please help me
Answers
Answer:
1/3
Step-by-step explanation:
DE/AB = EF/BC = FD/CA
15/45 = 9/27 = 8/24 = 1/3
hope this will help u
Which rule describes the composition of transformations that maps δjkl to δj"k"l"? 90 degree rotation about point 0 composition translation of 0 units x, negative 2 units y translation of 0 units x, negative 2 units y composition 90 degree rotation about point 0 90 degree rotation about point 0 composition translation of negative 2 units x, 0 units y translation of negative 2 units x, 0 units y composition 90 degree rotation about point 0
Answers
Triangle JKL was rotated 90 degrees about the origin and translated 2 units left to form triangle J"K"L"
What is transformation?
Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.
Triangle JKL was rotated 90 degrees about the origin and translated 2 units left to form triangle J"K"L"
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Answer:
Its actually DStep-by-step explanation:
Gerald is constructing a line parallel to line l through point P. He begins by drawing line m through points P and Q. He then draws a circle centered at Q, which intersects line l at point N and line m at point S. Keeping the compass measure, he draws a congruent circle centered at point P, which intersects line m at point T.
Which next step will create point R, such that when a line is drawn through points P and R, the line will be parallel to line l?
Lines m and n intersect at point Q. A circle is drawn around point Q and forms point S on line m and forms point N on line l. Point P is also on line m. A circle is drawn around point P and forms point T on line m.
Use the compass to construct a circle centered at Q through point P.
Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P.
Using the compass measure between points S and N, draw an arc above line l, centered at N, intersecting the edge of circle Q.
Use the compass to construct a circle centered at P through point Q.
Mark this and return
Answers
Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope. The correct option is C.
How are parallel straight lines related?Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.
Since the given parallel line has equation y = 2x + 2 , thus its slope is 2 and thus, the slope of the needed line is 2 too.
The next step that Gerald should take is Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P.
Hence, the correct option is C.
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A candle on Pauline’s dresser is 4 inches tall and burns at a rate of 0.6 inches per hour. How many hours will it take for the candle to burn down to a height of 1.3 inches?
Answers
Answer:
4 1/2 hours
Step-by-step explanation:
first i subtracted 1.3 from 4 and got 2.7
Next i just multiplied 0.6 by random numbers ubtil i got something close to 2.7
i ended up with 2.4 when I multiplied 0.6 by 4
it still is .3 short
since it takes an hour for the candle to burn, then if you cut it in half, that means 30 minutes
therfore, 4.5 hours
Which values of a and b make the following equation true?
(5x7y²)(-4x²y5)--20xy
a=11, b = 7
a = 11, b = 10
a=28, b = 7
a=28, b= 10
Answers
Answer:
A. is correct answer
Step-by-step explanation:
full explanation
if l and m are parallel,which pair of angles are supplementary?
Answers
Answer:
Option (1)
Step-by-step explanation:
Angles 2 and 5 are supplementary by the same-side interior angles theorem.
Donte simplified the expression below. 4 (1 3 i) minus (8 minus 5 i). 4 3 i minus 8 5 i. negative 4 8 i. what mistake did donte make? he did not apply the distributive property correctly for 4(1 3i). he did not distribute the subtraction sign correctly for 8 – 5i. he added the real number and coefficient of i in 4(1 3i). he added the two complex numbers instead of subtracted.
Answers
Donte did a mistake that 'he did not apply the distributive property correctly for 4(1 3i)' option (A) is correct.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have an expression:
= 4(1 + 3i) – (8 – 5i)
= 4 + 12i - 8 + 5i
He did not distribute the subtraction sign correctly for 8 – 5i.
= -4 + 17i
Thus, Donte did a mistake in that 'he did not apply the distributive property correctly for 4(1 3i)' option (A) is correct.
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Answer:
(A) is correct.
Step-by-step explanation:
Bonnie and Connie ran a total of 135 miles last week. Bonnie runs at a constant speed of 7 miles per hour, and Connie runs at a constant speed of 5 miles per hour. If Bonnie and Connie ran for a total of 24 hours last week, how many minutes did Bonnie run
Answers
Answer: 450 Minutes
Step-by step explanation:
135-x)/5 = hours connie runs
x/7 = hours Bonnie runs
(135-x)/5 + x/7 = 24
135-x + 5x/7 = 120
945-7x+5x = 840
-2x = -105
x = 52.5 miles = distance of Bonnie
52.5 miles / 7 m/hr = 7.5 hours = 450 minutes
URGENT!
Select the correct reason for each statement.
Answers
Step-by-step explanation:
if you have any doubts or queries regarding the answer please feel free to ask
A school show had ticket sales of $1345 the first night and $935 the second night. 180 student tickets were sold and 110 adult tickets were sold on the first night. 100 student tickets were sold and 90 adult tickets were sold. find the price of a student ticket
Answers
Using a system of equations, it is found that the price of a student ticket is of $3.49.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The variables are given as follows:
Variable x: Price of a student ticket.Variable y: Price of an adult ticket.Considering the revenues and the number of tickets sold, the equations are given as follows:
180x + 110y = 1345.100x + 90y = 935.From the second equation:
90y = 935 - 100x
y = (935 - 100x)/90
y = 10.39 - 1.11x
Replacing in the first equation:
180x + 110y = 1345.
180x + 110(10.39 - 1.11x) = 1345
57.9x = 202.1.
x = 202.1/57.9
x = 3.49.
The price of a student ticket is of $3.49.
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Workers in an office of 40 staff were asked
their favourite type of take-away.
The results are summarised in the table.
Take-away
Pizza
Curry
Fish & chips
Kebab
Other
Frequency
9
6
11
10
4
Angle
a
b
с
d
e
What fraction of a person is one degree?
Give your answer in its simplest form.
Answers
Answer:
1/
Step-by-step explanation:
There are 360 degrees in a circle. There are 40 people in this survey. Each person is 9 degrees, so 1 degree is 1/9 of a person.
find the surface area of the pyramid
Answers
Answer:
145
Step-by-step explanation:
mutiply each 6 and 7 twice and add 7x7 from the bottom
Using your answer from the previous question, state the value of 't' if Josephine is going to run a dis-
tance of 15 miles at a rate of 5 miles per hour.
Previous answer t=d/r
Answers
Using the relation between velocity, distance and time, it is found that t = 3 hours.
What is the relation between velocity, distance and time?Velocity is distance divided by time, hence:
[tex]v = \frac{d}{t}[/tex]
For this problem, the parameters are given as follows:
d = 15 miles, v = 5 mph
Hence the time in hours is found as follows:
[tex]v = \frac{d}{t}[/tex]
[tex]5 = \frac{15}{t}[/tex]
5t = 15
t = 15/5
t = 3 hours.
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Contamination is a problem in the manufacture of optical storage disks. The number of particles of contamination that occur on an optical disk has a Poisson distribution, and the average number of particles per square centimeter of media surface is 0.1. The area of a disk under study is 100 cm2. Find the probability more than 12 particles occur in the area of a disk under study.
Answers
The probability that more than 12 particles occur in the area of a disk under the study is 0.20844.
The number of particles follows a Poisson Distribution.
A Poisson Distribution over a variable X, having a mean λ, has a probability for a random variable x as [tex]P(X = x) = e^{-\lambda} \frac{\lambda^{x}}{x!}[/tex] .
In the question, x = 12.
λ = 100*0.1 = 10.
To find : P(X > 12)
P(X > 12) = 1 - P(X ≤ 12) = 1 - poissoncdf(10,12)
As to find the probability of a Poisson Distribution P(X ≤ x), for a mean = λ, we use the calculator function poissoncdf(λ,x).
Therefore, P(X > 12) = 1 - 0.79156 = 0.20844.
Therefore, the probability that more than 12 particles occur in the area of a disk under the study is 0.20844.
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A rectangular pyramid has a height of 6 units and a volume of 40 units3. Shannon states that a rectangular prism with the same base area and height has a volume that is three times the size of the given rectangular pyramid. Which statement explains whether Shannon is correct?
A rectangular prism in which BA = 20 and h = 6 has a volume of 40 units3; therefore, Shannon is incorrect.
A rectangular prism in which BA = 6.67 and h = 6 has a volume of 40 units3; therefore, Shannon is incorrect.
A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct.
A rectangular prism in which BA = 6.67 and h = 6 has a volume of 120 units3; therefore, Shannon is correct.
Answers
Answer:
The first statement is true so Shannon is incorrect.
Step-by-step explanation:
Volume of the pyramid with base 20 and h = 6
= 1/3 * base area * height
= 1/3 * 20 * 6
= 40 unit^3.
Identify the conclusion of the conditional statement:
If an animal is a fish, then it lives in the water.
Answers
Answer:
Conclusion : it lives in the water
Step-by-step explanation:
Concept :The conclusion of a conditional statement is the result of the hypothesis. The “then” part of an if-then statement is called the conclusion.
therefore, for the given statement,
the 'then' part is 'it lives in the water'
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Find the gradient of the line shown.
Answers
Answer:it is o to 10/5 which is 1/
Step-by-step explanation:
State whether the following physical quantities are scalars or vectors: a. Pressure. b. Electric current. c. Conductivity. d. Electric conductance. e. Frequency. f. Heat capacity. g. Impedance. h. Power. i. Torque. j. Latent heat
This is further maths questions
Answers
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \large Scaler : [/tex]
Pressure Electric current Conductivity Electric Conductance Frequency Heat capacity PowerLatent heat[tex]\qquad \tt \large Vector : [/tex]
ImpedanceTorque____________________________________
[tex] \large \tt Explanation \: : [/tex]
[tex] \textsf{Scaler quantity : } [/tex]
Those quantities that can be expressed simply by its magnitude [numeric value and unit] are known as Scaler quantities.
Operations on Scaler quantities can be done by simple algebraic rules.
Eg. Pressure, Electric current, Conductivity, Electric Conductance, frequency, heat capacity, power, latent heat, etc
[tex] \textsf{Vector quantity } [/tex]
Those quantities that need magnitude and direction to define express itself and follows Vector law of addition are known as Vector quantities.
Vector algebra is used for operations on vector quantities.
Eg. Impedance, Torque, etc
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Which inequality defines the shaded region graphed below?
Answers
Answer:
Every ordered pair within this region will satisfy the inequality y ≥ x. Incorrect. The boundary line here is y = x, and the correct region is shaded, but remember that a dotted line is used for < and >. The inequality you are graphing is y ≥ x, so the boundary line should be solid.
Question 1 of 5
Select the correct answer.
Which expression is equivalent to 6√z ÷ 3√8z, if z> 0?
36/2
O 3
33/z
3√22
Submit
Answers
The expression that is equivalent to the given expression is [tex]3\sqrt[6]{z}[/tex]
Simplifying an expressionFrom the question, we are to determine which of the expressions is equivalent to the given expression
The given expression is
[tex]6\sqrt{z} \div \sqrt[3]{8z}[/tex]
The expression can be simplified as
[tex]6\sqrt{z} \div \sqrt[3]{8z}[/tex]
[tex]\frac{6\sqrt{z}}{\sqrt[3]{8z}}[/tex]
[tex]= \frac{6 \times \sqrt{z}}{\sqrt[3]{8} \times \sqrt[3]{z}}[/tex]
[tex]= \frac{6 \times z^{\frac{1}{2} } }{2 \times z^{\frac{1}{3} }}[/tex]
[tex]= 3\times z^{\frac{1}{2} -\frac{1}{3}}[/tex]
[tex]= 3\times z^{\frac{1}{6}}[/tex]
[tex]= 3\times\sqrt[6]{z}[/tex]
[tex]= 3\sqrt[6]{z}[/tex]
Hence, the expression that is equivalent to the given expression is [tex]3\sqrt[6]{z}[/tex]
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For a biology experiment, students labeled the plants in a greenhouse in order to track their heights over the next few weeks. The greenhouse contained ROSES labeled 1, 2, 3, 4, 5, 6, LILIES labeled 1, 2, 3, 4, 5, and VIOLETS labeled 1, 2, 3, 4. If a single flower is picked at random, what is the probability that the flower is NOT A ROSE?
Answers
Using it's concept, it is found that there is a 0.6 = 60% probability that the flower is NOT A ROSE.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 6 + 5 + 4 = 15 flowers, out of which 5 + 4 = 9 are not roses, hence the probability is given by:
p = 9/15 = 0.6 = 60%.
0.6 = 60% probability that the flower is NOT A ROSE.
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Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3
Help me please
Answers
Answer:
y-2=1/3(x-3)
Step-by-step explanation:
please mark me as brainlest
Answer: y-2=1/3(x-3), which is Choice [B]
Step-by-step explanation:
Hii, do you need to know the answer to your question? No problem! (:
First, do you remember what the "point-slope" formula is? It's
y-y1=m(x-x1)
Now it's just a matter of sticking in the known values.
y-2=1/3(x-3)
Voila! There's our solution, cheers! (:
--
Hope that this helped! Best wishes.
[tex]\bigstar\underbrace[/tex]
In parallelogram ABCD , BE=7x−2 and ED=x2−10 .
Answers
I'm assuming that the diagonals intersect at E. Since diagonals of a parallelogram bisect each other, BE=ED.
7x-2=x²-10x²-7x-8=0(x-8)(x+1)=0x = -1, 8As distance must be positive, we reject the negative case, so x=8.
Thus, BE=ED=54.
Vincent and Aidan buy the same number of pens. Vincent buys packs of 6 pens, and Aidan buys boxes of 20 pens. What is the least number of pens each boy can have brought?
Answers
The least number of pens each boy can have brought is 60
How to determine the least number of pen?We have:
Vincent = 6 packs
Aidan = 20 boxes
Factorize 6 and 20
6 = 1 * 2 * 3
20 = 1 * 2 * 2 * 5
Multiply all factors
LCM = 1 * 2 * 2 * 3 * 5
Evaluate the product
LCM = 60
Hence, the least number of pens each boy can have brought is 60
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Who wants to solve a question
Answers
70 packages can be filled from a jar that contains 7/8pounds of the leaves
Ratio and proportionsFractions are written as a ratio of two integers. If each bad contains 1/80 pound peppermint leaves, then;
1/80pounds = 1 package
To determine the total package for 7/8 pounds of leaves
7/8 pounds = x
Take the ratios
1/80 * 8/7 = 1/x
8/560 = 1/x
x = 560/8
x = 70
70 packages can be filled from a jar that contains 7/8pounds of the leaves
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find the magnitude of each of the following vectors 4i-8j
Answers
Answer:
magnitude of a shown vector is
[tex]4 \sqrt{5} [/tex]
