the point (6, -5) is a solution to which of the following system of inequalities
4x + 2y > 8 and 2x - 3y < 27
-6 + 8y < -24 and 5x + 3y > 15
4x + 2y < 8 and 2x - 3y > 27
-6x + 8y < -24 and 5x + 3y > 15
Answers
The system of inequalities which has (6,-5) as solution is 4x+2y>8 and 2x-3y<27.
Given point is (6,-5)
Now checking by substituting the values in given inequalities we get,
For first option: 4x+2y > 8 and 2x-3y < 27
4*6+2*(-5) = 14 > 8 true
2*6-3*(-5) = 17<27 true
So it is solution of it.
For second option: -6x+8y<-24 and 5x+3y>15
-6*6+8*(-5)=-76<-24 true
5*6+3*(-5)=15 > 15 false
So it is not solution of it.
For third option: 4x + 2y < 8 and 2x - 3y > 27
4*6+2*(-5) = 14 < 8 false
So it is not solution of this system.
For fourth option: -6x + 8y < -24 and 5x + 3y > 15
-6*6+8*(-5) = -76< -24 true
5*6+3*(-5) = 15> 15 false
So it is also not solution for this system of inequalities.
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Related Questions
when you multiply 2/3 by a fraction less than one,how does the product compare to the factors?
Answers
Answer:
The product is less than either of the factors. Multiplying a number < 1 with 2/3 another number < 1, will give a fraction of a fraction, and part of a fraction is an even smaller fraction. Another way of looking at it: Fractions less than one have numerators smaller than their denominators. When multiplying fractions, you multiply across, so multiplying two fractions that are both less than one will always give a numerator much smaller than the denominator, and a larger denominator makes for a smaller number. I hope this helps, but if you have questions, ask.
Pls answer this fast
Answers
Answer: C
Step-by-step explanation:
1. divide 3 by 2 to find out how many pounds of blueberries she picked each day. 3/2 is 1.5
2. multiply 1.5 by 16 to convert to ounces. 1.5x16 is 24.
3. she picked 24 ounces of blueberries each day.
Pandora had a jar with 24 pieces of chocolate candy and 14 pierces of orange candy. She takes one piece of candy at random from the jar, puts it back, and then games a second piece of candy. Find the probability that Pandora first chooses orange candy then chocolate. Independent or Dependent?
Answers
ANSWER:
84/361 or 23.27%
Independent
STEP-BY-STEP EXPLANATION:
In this case the probability would be the specific amount of each divided by the total amount (that is, the sum of orange and chocolate candies).
The probability of drawing one and then the other are two different events, therefore the final probability will be the probability of each event, therefore:
\(\begin{gathered} P(\text{orange) }=\frac{14}{24+14}=\frac{7}{19} \\ P(chocolate\text{) }=\frac{24}{24+14}=\frac{12}{19} \\ \text{Therefore:} \\ P(\text{orange, chocolate) }=\frac{7}{19}\cdot\frac{12}{19} \\ P(\text{orange, chocolate) }=\frac{84}{361}\cong23.27\text{\%} \end{gathered}\)Two events are independent if the result of the second event is not affected by the result of the first event. If A and B are independent events, the probability that both events occur is the product of the probabilities of the individual events.
In this case the events are independent because Pandora returns the first candy to the jar, which makes the events not dependent on each other.
Please help!!!! It’s urgent
Which of the following rational functions is graphed below?
-10
10-
-10
1
A. F(x) = 1/x(x+3)
B. F(x)= x/x+3
C. F(x)= 3/x
D. F(x)= 1/x(x-3)
Answers
Answer:
the answer is D. F(x) = 1/x(x-3)
Step-by-step explanation:
What is the measure of angle C?
Answers
Answer:
49°
Step-by-step explanation:
First, solve for x.
3x-7+2x+17=90
5x+10=90
5x=80
x=16
Then put 16 in for x.
2(16)+17=
32+17=49
50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answers
The coordinates of vertex D in the parallelogram are (-7, -10).
We have,
To find the coordinates of vertex D of the parallelogram, we need to use the properties of a parallelogram.
One of these properties states that opposite sides of a parallelogram are parallel and have equal lengths.
Given that A = (8, 2), B = (6, -4), and C = (-5, -4), we can find the coordinates of D as follows:
Find the vector representing one of the sides of the parallelogram.
We can use the vector AB.
Vector AB = (x-coordinate of B - x-coordinate of A, y-coordinate of B - y-coordinate of A)
= (6 - 8, -4 - 2)
= (-2, -6)
Add this vector to point C to find the coordinates of D.
Coordinates of D = (x-coordinate of C + x-coordinate of AB, y-coordinate of C + y-coordinate of AB)
= (-5 - 2, -4 - 6)
= (-7, -10)
Therefore,
The coordinates of vertex D are (-7, -10).
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PEMDAS Which one in the equation goes first?
Answers
Answer:
A
Step-by-step explanation:
A because the first letter in PEMDAS is P, which is parenthesis.
Answer:
The Parenthesis
Step-by-step explanation:
these ( )
An online t-shirt store is having a sale. The original price of each t-shirt is p dollars. The store sells 20 t shirts and earns a total of (20p - 60) dollars.
A. Factor the expression using the GCF
20p - 60 =
B. The discount per t-shirt is $
Answers
Evaluate 16x^0 if x= -3
Answers
Answer:
16
Step-by-step explanation:
\(16x^0= \\\\16(-3)^0= \\\\16(1)= \\\\16\)
Hope this helps!
x = -3
\(A = 16.(-3)^{0} \\ x^{0} = 1\\A = 16.1 \\A = 16\)
Remember that \(x^{0} = 1\) ∀ \(x\)
someone please answer this its confusing me
Answers
the line AB will be congruent to line DC so 8t + 7 = 9t - 2 which gives you t = 9
line AD will also be congruent to line BC so 4s + 1 = 2s + 25 which gives you s = 12
From a sample of 251 customers of a local donut store, 130 were Camarillo residents. Find the 99% confidence interval for the proportion of Camarillo residents who go to this donut store. If you use your calculator or software, indicate the calculator function or software commands you used and the parameters you entered for this function. Interpret this confidence interval by stating your answer in a complete sentence.
Answers
Answer:
Step-by-step explanation:
waltuh white
I need help asap. ive tired a lot and cant get it
Answers
Since the coordinates of point A are given along with coordinate of Midpoint. We can easily locate the coordinates for point B.
By using the equation:
M=(x1+x2)/2 , (y1+y2)/2
Substituting M value of (-2,2):
(-2,2) = (-5+x2)/2 , (7+y2)/2
We can now compute for x2 and y2 values via subject of the formula method:
-2 = (-5+x2)/2 multiply by 2 of left
-4 = (-5+x2) add +5 on left
1 = x2
2 = (7+y2)/2
4 = 7+y2
-3 = y2
Therefore: the coordinates for point B are (1,-3).
Can someone help this is do in less than An HOUR!!!! I WILL gIVE BRAINLIESt
Answers
Answer:
possible outcomes:
hotdog + potato salad
hotdog + macaroni salad
hamburger + potato salad
hamburger + macaroni salad
total outcomes: 4
Help it’s 6 grade math
Answers
Answer:
the mean is 55.6; if she redid the D and F papers the mean would increase because you would get a higher average than before. Higher scores mean that the number that you add are larger evidently ending up in a larger value
Step-by-step explanation:
if you want to find mean, all you do is add the numbers together and then divide by the total number of values that you added.
so this would be 74+12+61+86+45 and that is 278. Then there is a total of 5 so you divide 278 by 5 which gives you 55.6.
Do we ever use numbers to describe the values of a categorical variable?
Answers
Answer:
Yes
Step-by-step explanation:
Because A categorical variable can bexpressed as a number when statistical evaluation is intended, However, these numbers do not mean the same as a numerical value e.g giving numbers to waist sizes, test scores, grade level etc
lve for m.
-3 + m
9 = 10
A.
-30
B.
63
C.
87
D.
93
Answers
The value of m that satisfies the equation -3 + m = 9 is m = 12.
To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.
-3 + m = 9
To move -3 to the other side, we can add 3 to both sides of the equation:
-3 + 3 + m = 9 + 3
Simplifying, we have:
m = 12
Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.
None of the provided answer options (A, B, C, D) match the correct solution.
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8) Given Similar Triangles, find x.
8
Answers
Answer:
×=14
Step-by-step explanation:
24÷16=1.5
21÷1.5=14
if e and f are mutually exclusive and p(e)>0 and p(f)>0, which one of the following statements is correct?
Answers
Neither statement "E and F are always independent" nor "E and F are always dependent" is correct for mutually exclusive events E and F with positive probabilities p(e)>0 and p(f)>0.
Events that are mutually exclusive cannot occur at the same time. For example, if we have two events E and F such that E represents "rolling a 1 on a fair die" and F represents "rolling a 2 on a fair die", These events cannot occur simultaneously since a 1 and a 2 cannot be rolled.
In probability theory, two events E and F are considered independent if the occurrence of one event has no effect on the probability of the other event occurring. For example, if we have two events E and F such that E represents "rolling a 1 on a fair die" and F represents "rolling a 6 on a fair die", these events are independent because the occurrence of one event (rolling a 1) does not affect the probability of the other event (rolling a 6) occurring.
In the case where events E and F are mutually exclusive, their occurrence does affect each other, as the occurrence of one event makes it impossible for the other event to occur. Therefore, the statement "E and F are always independent" is not correct. Similarly, the statement "E and F are always dependent" is also not correct because dependence is a different concept from mutual exclusiveness.
Therefore, "Neither of the above statements is correct" is the appropriate response.
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The complete question is:
Which of the following statements is correct if e and f are mutually exclusive and p(e)>0 and p(f)>0?
a) E and F are always independent
b) E and F are always dependent
c) Neither of the above statement is correct
what is the pythagoras theorum in terms of shakespear?
Answers
Answer:*
Step-by-step explanation:
4✓6 × 3✓6
multiply and simplify
show work
Answers
Answer:
3
√
2
Explanation:
First put change the words into an equation:
√
3
×
√
6
Now you can multiply them together as you would normally multiply:
√
3
×
√
6
=
√
18
Now let's prime factor 18 and see if there are any squares that we can take out of it to simplify. All we have to see is if there are 2 numbers that are the same:
18
/ \
6
3
/ \
2
3
As you can see, we have a square:
3
×
3
=
9
So take
√
9
out of
√
18
. You should have:
√
9
√
2
But since
√
9
=
3
we can simplify further to make:
√
9
√
2
→
3
√
2
Step-by-step explanation:
Use DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in rectangular form. 2(cos 105 deg + i * sin 105 deg) )^ 3
Answers
2(cos 105° + i sin 105°) = 2(cos(105°) + i sin(105°)) = 2(0.2588 + 0.9659i) = 0.5176 + 1.9318i
Now, we can use DeMoivre's Theorem to find the cube of this complex number:
(r(cos θ + i sin θ))^n = r^n(cos nθ + i sin nθ)
So, we have:
(0.5176 + 1.9318i)^3 = (2.0144 - 1.9416i)
Therefore, the indicated power of the complex number is (2.0144 - 1.9416i) in rectangular form.
y varies directly with x.
y is -50 when x is 10
What is x when y is 15?
Suppose
x = [?]
X
Answers
The value of x is -3 when value of y = 15 by using the property proportion as x and y are directly related to each other.
What is direct relation?
Two variables x and y are directly related to each other if x increases or decreases the value of y also increases or decreases proportionally.
We are given that value of y is -50 then value of x is 10
We have to find the value of x when y is 15
We solve it using proportion
we have,
10/x = -50/15
On separating the variable from the constant and then simplifying we get,
x=-3
Hence the value of x is -3 when y is 15
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Can someone explain how to get the answer to…if 7p-4=8 what is the value of p?
Answers
The value of p in the equation 7p - 4 = 8 is p = 12/7
Solving for what is the value of p?From the question, we have the following parameters that can be used in our computation:
7p - 4 = 8
Add 4 to both sides
So, we have
7p = 12
Divide both sides by 7
So, we have
p = 12/7
Hence, the solution is p = 12/7
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For the question of total area of the cuboid is 200cm^.
I understand where we divide 150 by 4.
But why do I need to multiply by 5, when there are 6 faces.
Answers
You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.
When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.
A cuboid has six faces, but each face has a pair that is identical in size and shape.
Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.
To find the surface area of a cuboid, you can add up the areas of all its faces.
However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:
(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.
By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.
Essentially, you are considering one face from each pair and then summing their areas.
Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.
When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.
Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.
Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.
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Simplify the expressions:
−8y³ x 5y8
Answers
I hope this helps.
Hi! Your answer is 11. When multiplying terms with exponents, the exponents add up.
Step-by-step explanation:
You want to multiply the terms with the exponents. You should get 3 and 8, add those up and you will get 11.
Hope this helps! Have a good day :)
The regular price of a color TV is $534.48. During a sale, Hill TV is selling the TV for $450.38. Determine the percent decrease in the price of the TV.
Answers
Answer:
The percent decrease in the price of the TV is 15.7349%.
Hope I helped.
Please mark me brainliest :)
So im doing triangles and all triangles equal 180 degrees but one corner = 32.1 another =95 the last one is ____? (remember it has to = 180)
Answers
Answer:
52.9
Step-by-step explanation:
180-32.1-95=
guessing you don't have a calculater or the patience to answer this
If 100 envelope cost 70 cents how much would 250 cost
Answers
Answer:
178.5 actually
Step-by-step explanation:
The terms power and exponent are used interchangeably
True or False?
Answers
True, the terms power and exponent have the same meaning.
When h=4 , j=5 , and k=−1 , the expression jkh+hj−jk equals?
Answers
When h = 4, j = 5, and k = -1, the expression jkh + hj - jk equals 5.
To solve the expression we have to substitute the value of each variable in the expression. Then simplify the expression according to mathematic rule. After solving we get the solution of the expression.
An expression is a combination of numbers, variables, and/or operations that can be evaluated or simplified to obtain a numerical or algebraic result.
The given expression is:
jkh + hj - jk
Substituting the given values of h, j, and k, we get:
jkh + hj - jk = (5 x (-1) x 4) + (5 x 4) - (5 x (-1))
Now simplify the expression
jkh + hj - jk = (-20) + 20 + 5
jkh + hj - jk = 5
Therefore, the value of jkh + hj - jk equals 5.
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