Answers
looking at the picture, the region AB is where the inequality of f(x) overlaps the inequality g(x), so if we pick any point on that blue region AB, then f(x) will be TRUE and g(x) will also be TRUE, lemme narrow it down some, let's pick the point on AB of say (0,0), namely x = 0 and y = 0
let's try the 1st set
0 ⩽ - 2(0) + 3
0 ⩽ 3 <--- is that true? well yes, zero is less or equals, actually less than 3
0 ⩽ 0 + 3
0 ⩽ 3 <--- is that true? yes it's
let's try the 2nd inequalities set with the same values for "x" and "y"
0 ⩾ -2(0) + 3
0 ⩾ 3 <--- is that true? nope, no dice
let's not bother checking the other, since it already gave FALSE
let's try the 3rd inequalities set, same values
0 ⩽ -3(0) + 2
0 ⩽ 2 <--- is that true? yeap
0 ⩽ -(0) + 2
0 ⩽ 2 <---- is that true? yeap
not to bother you with the 4th set one, the 4th one fails and gives FALSE
so we know the 1st and 3rd one give TRUE on for f(x) and g(x), so which one is it?
take a peek at the picture below, notice the rise and run and therefore the slopes for each, g(x) has a slope of 2/2 = 1, and f(x) has a slope of 3/1 = 3, both going downwards, so both are negative, namely -1 and -3.
that means that g(x) will look like -1x + something, or -x + something.
and means that f(x) will look like -3x + something.
so that means the only set with those slopes will be [tex]\begin{cases} y\leqslant -3x + 2\\ y \leqslant -x + 2 \end{cases}[/tex]
Related Questions
Solve the following system of equations:
Answers
Answer:
The correct answer is option B: (-1, -1).
Step-by-step explanation:
The easiest way to solve this system is using elimination, or by adding the two equations together. We don't have to modify the equations at all, since the x's will already cancel out as written.
Upon addition, we get:
9y = -9
If we solve the equation by dividing both sides by 9, we get:
y = -1
To find the x value, we can substitute this value back into either of our original equations.
6x + 4y = -10
6x - 4 = -10
To solve for x, we should isolate the variable, or get it alone on one side of the equation.
6x = -6
x = -1
Therefore, the solution to the system of equations is x = -1 and y = -1, or (-1, -1), which is option B.
Stuck on this, need help on this.
Answers
Answer:
Domain: (-∞ , ∞)
Range: y <= 8 [8 , -∞)
Step-by-step explanation:
x = 2
f(x) = 8
x<=2
f(x) <=8
The low temperature on a certain day is 56°F. The low temperature is 14°F lower than the high temperature, h.
Which equation can be used to find the high temperature for that day?
56=h−14
56 = 14h
56 = h + 14
h + 56 = 14
Answers
Answer:10.9
Step-by-step explanation:
6. (5 points) Graph using two intercepts; show your work in finding the intercepts. 6x - 3y = 18
х
Answers
Answer:
Divide both sides by 18. The new coefficients will be the reciprocals of the intercepts:
[tex]6x-3y=18 \rightarrow \frac6{18}x - \frac3{18}y = 1 \rightarrow \frac x3-\frac y6 =1[/tex] The two intercepts are then 3 and -6.
(I know, dividing by 3 both sides of the equations would have made the whole process way easier).
Alternatively, plug x = 0 to find the y intercept and y=0 to find the x intercept. Either way the graph will look something like the one I'm sketching on paint.
Can someone help please
Answers
=========================================================
Explanation:
If you know the cost function C(x), to find the marginal cost, we apply the derivative.
Marginal cost = derivative of cost function
Marginal cost = C ' (x)
Since we're given the marginal cost, we'll apply the antiderivative (aka integral) to figure out what C(x) is. This reverses the process described above.
[tex]\text{Cost} = \text{antiderivative of marginal cost}\\\\\displaystyle C(x) = \int \left(35x^{4/3} - 14x^{3/4} + 1\right)dx\\\\[/tex]
[tex]C(x) = \frac{1}{1+4/3}*35x^{4/3+1} - \frac{1}{1+3/4}*14x^{3/4+1} + x + D\\\\C(x) = \frac{1}{7/3}*35x^{7/3} - \frac{1}{7/4}*14x^{7/4} + x + D\\\\C(x) = \frac{3}{7}*35x^{7/3} - \frac{4}{7}*14x^{7/4} + x + D\\\\C(x) = 15x^{7/3} - 8x^{7/4} + x + D\\\\[/tex]
D represents a fixed constant. I would have used C as the constant of integration, but it's already taken by the cost function C(x).
To determine the value of D, we plug in x = 0 and C(x) = 9000. This is because we're told the fixed costs are $9000. This means that when x = 0 units are made, you still have $9000 in costs to pay. This is the initial value. You'll find that all of this leads to D = 9000 because everything else zeros out.
Therefore, we go from this
[tex]C(x) = 15x^{7/3} - 8x^{7/4} + x + D\\\\[/tex]
to this
[tex]C(x) = 15x^{7/3} - 8x^{7/4} + x + 9000\\\\[/tex]
which is the final answer.
Question
For every 3 kg of a child's weight, pediatricians prescribe 8 mg of fever reducer. If Nidhi weighs 15 kg, how many milligrams
of the fever reducer will the pediatrician prescribe?
Answers
Answer: 40 mg
Unitary method:
For 3kg --> 8mg
For 1kg --> 8/3 mg
For 15kg--> (8/3) * 15
--> 40 mg
The number of milligrams of the fever reducer the pediatrician will prescribe is 40 mg.
Given that, for every 3 kg of a child's weight, pediatricians prescribe 8 mg of fever reducer.
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Here, for 1 kg of child's weight pediatricians prescribe [tex]\frac{8}{3}[/tex] mg of fever reducer.
If Nidhi weighs 15 kg, then the fever reducer = [tex]\frac{8}{3}\times15[/tex]
[tex]=8\times5[/tex]
[tex]=40[/tex] mg
Therefore, the number of milligrams of the fever reducer the pediatrician will prescribe is 40 mg.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ3
The line passes through point Q, located at (-1, 2), and point R, located at (1, -2). Which two points determine a line parallel to line Q R ?
Answers
Answer:
i need a picture to see sorry
what is 8/10 in simplest form
Answers
i search it up and found its 4/5
Evaluate the function when x = -1,0, and 4.
9. g(x) = 3 -
X
g(-1) =
g(0) =
+
g(4) =
Plz help me I need the answer
Answers
G(0) = 3
G(4) = 1
Jamie is x years old. His friend Ana is the same age.
Enter an expression in the box to represent the sum of Jamie's and Ana's ages.
Answers
Explanation:
Each person is x years old. Adding those unknown ages gets us x+x = 2x
We can think of it like x being one box, so x+x represents having two boxes which shortens to 2x.
a study of 1,400 cats revealed that 18 out of every 210 cats in the population have black hair. based on the results of the study, how many cats in the population do NOT have black hair?
Answers
Answer:
1280
Step-by-step explanation:
divide 1400 by 210
then multiply by 18
subtract that answer (120) from 1400,
and you get 1280
5) 13,971.3 ÷ 2.1= What's the answer
Answers
Select the range of the following relation { (20, 2), (30, 4), (40, 1), (50, 2)} A {1, 2, 3) B {1,2,4} C {1, 2, 3, 4) D {2, 3, 4)
Answers
Answer:
B {1,2,4}
Step-by-step explanation:
I took the test
a plumber receives $72 an hour. how much is she paid for 20 hours of work?
Answers
Answer:
$1440
Step-by-step explanation:
$72/hour
For 20 hours, she receives
20 hours × $72/hour = $1440
1) write the measurement 4009 mm into the place value table below
a) what is 4009 mm in cm
b) what is 4009 mm in m
2) how many millimeters is 6 liters
Answers
Answer:
a)400.9 cm
b)4.009 m
c) 181.71 mm
Step-by-step explanation:
a) First know that when you move from cm to mm you multiply by 10 and when you move from mm to cm you divide by 10 because 1mm= 0.1 cm
so 4009mm/10 = 400.9cm
b) when you move from m to mm you multiply by 1000 but when you move from mm to m you divide by 1000 ,so 4009/1000 = 4.009
c) 1litre= 1000000mm³
6litre= x
xlitre= 6000000 litre mm³
divide by litre
x= 6000000 mm³
but according to the question we are not looking for cubic mm but mm the fore remove cubic by insterting cube root
x= 181.71 mm
: . c)181.71 mm
1. is 2/3 and 4/12 equivalent or no 2. is 5/6 and 10/12 equivalent or no 3. is 1/4 and 4/8 equivalent or no?
Answers
6/12, 1/2, 10/20, 5/10,
Answer:
Step-by-step explanation:
divide,write in simplest form 6 1/2 divided by 3/4
Answers
Answer:
Step-by-step explanation:
Answer:
8 2/3
Step-by-step explanation:
6 1/2 / 3/4
Improper fractions:
[tex]\frac{13}{2} /\frac{3}{4}[/tex]
Reciprocal:
[tex]\frac{13}{2}*\frac{4}{3}[/tex]
Simplify:
[tex]\frac{13}{1}*\frac{2}{3}[/tex]
Solve:
[tex]\frac{26}{3}=8\frac{2}{3}[/tex]
Caleb sketched the following diagram on graph paper. He dilated points B and C from center o. B a. What is the scale factor r? Show your work. b. Verify the scale factor with a different set of segments. C.) Which segments are parallel? How do you know? d. Which angles are equal in measure? How do you know?
Answers
1/2x-3 + 5x/2x+6 = 2, Solve for x
Answers
Answer:
1/2x-3 + 5x/2x+6 = 2
1/2x-3 + 5/2+6 = 2
1/2x-3 + 2.5+6 = 2
1/2x + 5.5 = 2
1/2x = 2-5.5
1/2x = 3.5
1 = -3.5 × 2x
1 = -7x
x = -1/7
hope it helps :)
Which is true? A 0.9919 > 0.999 B 1.4359 < 1.446 C 2.6953 = 2.75 D 4. 9395 > 5.0
Answers
Option B. is true.
A isn't true because 0.9919 is lesser than 0.999.C is false because 2.6953 is lesser than 2.75. They are not equal.D is also false because 4.9395 is not greater than 5.0.Answer:
B. 1.4359 < 1.446
Hope you could get an idea from here.
Doubt clarification - use comment section.
Together, Mike and Bill have $50 more than Joe has. Mike has $26 more than Bill. The three boys have a total $506. How much money does each boy have.
Answers
i wish i had that much money
Answer:
Step-by-step explanation:
1. 84
2. 96
Answer: Divisible by 2, 3, 6
3. 896
4. 942
Answer: Divisible by 2, 3, 6
5. 22,335
6. 39,075
Answer: Divisible by 3, 5
Find Prime Factorizations and Least Common Multiples In the following exercises, find the
prime factorization.
7. 86
8. 78
Answer: 2 3 13 ⋅ ⋅
9. 455
10. 400
Answer: 222255 ⋅⋅⋅⋅⋅
11. 432
12. 627
Answer: 3 11 19 ⋅ ⋅
In the following exercises, find the least common multiple of each pair of numbers using the
prime factors method.
13. 8, 12
hope that help mark me brinliylist
Women comprise 83.3% of all elementary school teachers. In a random sample of 300 elementary school teachers, what is the probability that fewer than 260 are women?
Answers
Using the normal approximation to the binomial, it is found that there is a 0.9319 = 93.19% probability that fewer than 260 are women.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].In this problem:
Women comprise 83.3% of all elementary school teachers, hence [tex]p = 0.833[/tex]A sample of 300 teachers is taken, hence [tex]n = 300[/tex]The mean and the standard deviation for the approximation are given by:
[tex]\mu = np = 300(0.833) = 249.9[/tex]
[tex]\sigma = \sqrt{np(1 - p)} = \sqrt{300(0.833)(0.167)} = 6.46[/tex]
Using continuity correction, as the binomial distribution is discrete and the normal distribution is continuous, the probability that fewer than 260 are women is P(X < 260 - 0.5) = P(X < 259.5), which is the p-value of Z when X = 259.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{259.5 - 249.9}{6.46}[/tex]
[tex]Z = 1.49[/tex]
[tex]Z = 1.49[/tex] has a p-value of 0.9319.
0.9319 = 93.19% probability that fewer than 260 are women.
A similar problem is given at https://brainly.com/question/25347055
Please help me in this 4th grader question, i was sick over the weekend
Answers
Answer:
[tex] = 825 - 657 \\ = 168answer.[/tex]
Step-by-step explanation:
MARK ME AS A BRAINLIST PLZ
Answer:
825 - 657 = 168This is the answer, hope it helps you!!
LESSON 3
WHATS MORE
Translate each English phrase/sentance into Mathematical phrase/sentance
1. The sum of 4 and number________
2. Six less than a number_________
3. The product of 8 and a number______
4. The quotient of x and 7 ______
5. Five more than a number is equal to 15_____
Answers
Answer:
1. 4+x
2. x-6
3. 8x
4. x/7
5. x+5=15
Step-by-step explanation:
Find the equation of the polynomial function graphed below.
A) f(x) = x3 − 3x2 − 6x + 8
B) f(x) = 8x3 − 24x2 − 48x + 64
C) f(x) = x3 + 3x2 − 6x − 8
D) f(x) = 8x3 + 24x2 − 48x − 64
Answers
Answer:
See image
Step-by-step explanation:
Check out the y-intercepts for these equations and look at the y-intercept on the graph. The y-intercept is the point where x=0. So it's mental math you can do in a couple of seconds per equation. If x=0 all the x terms are zero and the y-intercept is just the constant at the end if the equation. I put a note on the graph and the answer choices. The constant is the y-intercept. Only one choice matches. See images.
please help!!!!
check for understanding:
Answers
a^2+b^2=c^2
But we rearrange this formula to make it
c^2-a^2=b^2
So 25^2-15^2=b^2
625-225= b^2 = 400
You now need to find the square root of 400 to find the square root of b
sqrt of 400 is 20
So 20 is the missing length in this triangle
I need help bad. It's about finding angles and I can't really figure it out.
Answers
=========================================================
Explanation:
Angle BFE is 117 degrees. The adjacent angle to this (angle BFA) is 180-117 = 63 degrees since the two angles form a straight line, and must add to 180.
Now because BD is parallel to AE, we know that the alternate interior angles BFA and FBD are the same measure. This makes angle FBD to be 63 degrees.
We're told that segment BF bisects angle ABD. That indicates the two smaller pieces (angles ABF and FBD) are the same measure. Both are 63 degrees in this case.
Let x be the measure of angle DBC. This angle will add to angles ABF and FBD to form a 180 degree straight angle
(angleABF) + (angleFBD) + (angleDBC) = 180
(63) + (63) + (x) = 180
x+126 = 180
x = 180-126
x = 54
Angle DBC is 54 degrees.
-----------------------
The last set of steps has us focus on triangle BCD. The three angles of any triangle always add to 180.
B+C+D = 180
54 + 85 + D = 180
139 + D = 180
D = 180-139
D = 41
Angle CDB is 41 degrees, and so is angle CEA as they are corresponding angles. Corresponding angles are congruent when we have parallel lines like this.
Therefore, angle E is 41 degrees.
The diagram is below showing all of the angles we found.
Solve the equation.
2
What is the first step to isolate the variable term on one side of the equation?
What is the second step to solve for x?
Please help and be fast
Answers
Answer:
Add 1/2x, Divide by 7/6
Step-by-step explanation:
Add 1/2x to both sides
Divide both sides by 7/6
Part C
What is the elevation of the deck where Winston ate dinner?
Answers
Answer: 10 feet
Step-by-step explanation:
What is an equation of the line that passes through the points (8,-4) and (6,-5)?
Answers
Answer:
y=1/2x-8
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-5-(-4))/(6-8)
m=(-5+4)/-2
m=-1/-2
m=1/2
y-y1=m(x-x1)
y-(-4)=1/2(x-8)
y+4=1/2(x-8)
y=1/2x-8/2-4
y=1/2x-4-4
y=1/2x-8