(-3 - y) / (x - 4)
(-3 - (-3)) / ((-5) - 4)
(0)/(-9)
0
hope it helps...!!!
Answer:
0
Step-by-step explanation:
[tex] \frac{ (- 3 - y)}{(x - 4)} \\ when \: x = - 5 \: \: y = - 3 \\ \frac{( - 3 - - 3)}{ (- 5 - 4)} = \frac{ - 3 + 3}{ - 9} \\ = \frac{0}{ - 9} \\ 0[/tex]
Which ones are variable expenses? (Check all that apply)
1. loans
2. food bill
3. rent
4. electric bill
Answer:
food bill, electric bill
Step-by-step explanation:
Variable expenses change every money
Loan payments are usually fixed, the same every month
food bill - variable expense since you buy different food each month and they will cost different amounts
rent is a fixed expense
the electric bill is different every month because some months you use more electricity than others
Which of these correctly explains the solution of the system of equations shown below?
2 x + 3 y = 6
x + 3 y = 12
a) The values of x = -6 and y = 6 satisfy both the equations; therefore, (-6, 6) is the solution
b) The equations have y-intercepts at 2 and 4; therefore (2, 4) is the solution
c) The equations have x-intercepts at 3 and 12; therefore (3,12) is the solution
d) the lines representing the equations intersect at x = 1 and y = 0; therefore (1,0) is the solution
The values of x = -6 and y = 6 satisfy both the equations; therefore, (-6, 6) is the solution. The correct option is a)
Simultaneous linear equationFrom the question, we are to determine the solution of the given system of equations
The given system of equations are
2 x + 3 y = 6 ------- (1)
x + 3 y = 12 ------- (2)
From equation (2)
x + 3y = 12
Then, we can write that
x = 12 - 3y --------- (3)
Substitute this into equation (1)
2x + 3y = 6
2(12 -3y) + 3y = 6
24 - 6y + 3y = 6
24 -3y = 6
24 - 6 = 3y
18 = 3y
∴ y = 18/3
y = 6
Substitute the value of y into equation (3) to get the value of x
x = 12 - 3y
x = 12 -3(6)
x = 12 - 18
x = -6
∴ x= -6 and y = 6 ; Thus, (-6, 6) is a solution
Hence, the values of x = -6 and y = 6 satisfy both the equations; therefore, (-6, 6) is the solution. The correct option is a)
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A group of kids just finished trick-or-treating. The number of pieces of candy collected by each of the 5 kids is listed below.
31,33,36,41,34
Find the standard deviation of the data set. Round your answer to the nearest hundredth.
Find the mean of the following data. (a) 9, 7, 11, 13, 2, 4, 5, 5 (b) 16, 18, 19, 21, 23, 23, 27, 29, 29, 35 (c) 2.2, 10.2, 14.7, 5.9, 4.9, 11.1, 10.5 (d) 11/4, 21/2, 51/2, 31/4, 21/2
Answer:
a) 7 b) 24 c) 8.5 d) 11.4 (i think)
Step-by-step explanation:
Consider the following experiment:
A card is picked at random from a standard deck of 52 cards.
What is the sample space of the experiment? What is the probability of drawing a red card from the deck if 26 of the cards are
red?
a
26 possible outcomes; P(red card) =
26
25
52 possible outcomes: P(red card) = 52
52 possible outcomes: P(red card) = 2
26 possible outcomes; P(red card) = 13
11/13
b.
J
d.
The sample space is 52 while the probability of drawing a red card is 13/28.
What is probability?The term probability has to do with the probability that an event will occur or not. The probability must have values between 0 - 1.
The sample space refers to all possible outcomes and this is 52. The probability of drawing a red card = 26/52 = 13/28.
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Which graph represents f of x equals square root of the quantity x plus 3 end quantity minus 2?
This function shows a horizontal translation of the parent function to the left and 2 units up.
Square root functionThe parent function of a square root function is expressed as:
f(x) = √x
According to the question, we are to plot the expression f(x) = √x+ 3 - 2
This function shows a horizontal translation of the parent function to the left and 2 units up. The required graph will be in the 2nd quadrant of the graph as shown;
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Answer:
It should be the first one.
Hi there !
What is a Pythagoras theorem ?
Nonsense = Reported
Thank you
Answer:
Hi! I think you are referring to the Pythagorean Theorem.
Essentially, given a right triangle, the sum of the squares of the shorter sides equals the square of the longer (slant) side or hypotenuse.
The formula is a squared + b squared = c squared
If the triangle has side lengths 3 and 4 (for the shorter sides), the longer side can be solved like this:
3 squared + 4 squared = x squared
(Let x = the longer side)
3 squared = 9
4 squared = 16
9+16 = x squared
25 = x squared
x = 5
So there you go, that's the Pythagorean theorem.
Let me know if this helped!
Answer:
a theorem attributed to Pythagoras that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.
Step-by-step explanation:
Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following
equation.ñ
y = 2x^2 -x + 6
Answer:
(1/4, 5 7/8)
Step-by-step explanation:
The vertex is the extreme point of the graph. Here, it is a minimum.
For this quadratic function, a graphing calculator can tell you exactly what the vertex is. (No approximation is required.)
__
The graphing calculator in the attachment shows the vertex is ...
(0.25, 5.875) = (1/4, 5 7/8)
A box has candies in it: are taffy, are peppermint, and are caramel. (Each candy falls into only one of these categories.) Brian wants to select two candies to eat for dessert. The first candy will be selected at random, and then the second candy will be selected at random from the remaining candies. What is the probability that the first candy selected is taffy and the second candy is caramel?
Do not round your intermediate computations. Round your final answer to three decimal places.
Probability that the first candy selected is taffy and the second candy is caramel is 0.144.
The data missing in the question is
A box has 18 candies in it: 3 are peppermint, 4 are caramel, and 11 are taffy.
What is Probability ?Probability can be defined as the study of likelihood of an event to happen.
It has a range of 0 to 1.
Probability is the ratio of the expected outcomes / total coutcome.
Total outcomes = 18
The probability that the first candy is taffy is 11/18
Now as there is no replacement , the total outcomes can be 17
The probability that the second candy is caramel is 4/17
Probability that the first candy selected is taffy and the second candy is caramel = (11/18)(4/17)
= 0.144
Therefore the Probability is 0.144
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**Find the perimeter of the region.**
The circle are congruent to each other.
The circles are tangent to each other, and the straight
segments are tangent to the circles.
The straight
segments are 5 units long.
Find the perimeter of the region.**
The circle are congruent to each other.
The circles are tangent to each other, and the straight
segments are tangent to the circles.
The straight
segments are 5 units long
what is the decimal equivalent for 15 1/4
Answer:
15.25
Step-by-step explanation:
1/4 is also 0.25 in decimals so add that to your 15 and you get 15.25.
Step-by-step explanation:
the fraction 1/4 is also equivalent to the decimal for of .25 + 15 equals 15.25
Can someone explain me this please
Consider a space shuttle which has a mass of about 1.0 x 105 kg and circles the Earth at an altitude of about 200.0 km. Calculate the force of gravity that the space shuttle experiences
uhm i don't understand wut to put below the formula please make it clear thank you alot
Answer:
The force of gravity experienced by the shuttle would be 1.6675×10^N
Carlos invests $4540 at a rate of r% per year compound interest.
At the end of 10 years he has earned $1328.54 in interest.
Calculate the value of r.
Answer:
Initial balance$1000
interest rate 8%
Term 20yrs
Step-by-step explanation:
The final balance is $4,926.8.The total compound interest is $3,926.8.
The value of r is 2 %.
What is simple & compound interest?Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time. Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time. Formula. S.I. = (P × T × R) ⁄ 100.
Given:
Principal(P)= $4540
Rate = ?
Time=10 years
CI=$1328.54
We have to find the value of r.
According to given question we have
By the use of compound interest we have
[tex]CI=p((1+\frac{r}{100} )^{10} -1)\\\\1328.54 =4540 ((1+\frac{r}{100} )^{10} -1)\\\\\0.292= ((1+\frac{r}{100} )^{10} -1)\\[/tex]
After simplifying we get,
r=2 %
Therefore, the value of r is 2 %.
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Which of the following describes the function shown in the table below? x y -4 16 -1 2 2 0.25 4 0.0625 5 0.03125 exponential, there is a continual rate of growth exponential, there is a continual rate of decay or decrease quadratic, there is a second degree change in the y-values quadratic, there is a constant difference between consecutive y-values
A statement which best describes the function shown in the table is: B. exponential, there is a continual rate of decay or decrease.
What is an exponential function?An exponential function is a mathematical function whose numerical values (numerals) are generated by a constant that is raised to the power of an argument.
Given the following table:
X : -4 -1 2 4 5
Y : 16 2 0.25 0.0625 0.03125
Next, we would calculate the rate of decay for the y-values:
16/2 = 2/0.25 = 0.25/0.0625 = 0.0625/0.03125 = 8
Rule: The y-values constantly decreases by 1/4 or 0.25 of the previous number.
In conclusion, we can logically deduce that the function shown in the table is exponential, there is a continual rate of decay or decrease.
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Answer: It's B
Step-by-step explanation:
I got it right
For a monthly family cookout, David
buys 3 packages of hot dogs and 4
packages of hamburger patties.
Hot dog packages each contain a hot
dogs. Hamburger packages each
contain y hamburger patties.
Complete the expressions for the total number of hot dogs and hamburger
patties David buys for 6 cookouts.
Use the number pad to enter your answers in the boxes.
6(
x+
Answer:
help me to find Xian pleaseee:( i miss him so much:(
sorry for answering Non sense po i hope u understand me ty po!
Using the GCF factor the given expression: 21xy + 14y
7(3xy + 2y)
7y(3x + 2)
3(7xy + 14y)
7xy(3 +2)
ASAP
Since 7y is common to both factors, therefore the GCF of the expression is 7y. The factored form will be 7y(3x + 2)
Greatest common factor of an expressionThe greatest common factor is the value that will divide an expression without leaving a remainder.
Given the expression 21xy + 14y
Find the factors
21xy = 7 * 3 * x * y
14y = 7 * 2* y
From the factors above, it is clear that 7 and y are the greatest common factors.
Since 7y is common to both factors, therefore the GCF of the expression is 7y. The factored form will be 7y(3x + 2)
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Factor out
21xy=3×7×y×x14y=2×7×ySo
7y is common hence 7y is GCFNow factor up
7y(3x+2)Option B
100
2
4
-5-4-3-2-4 1 2345
-3-
900
4
Which function represents g(x), a reflection of f(x) = 4
across the x-axis?
O g(x) = -4(2)*
g(x) = 4(2)-*
g(x) = -4
g(x) = 4*
Using translation concepts, the function that represents g(x) is given by:
[tex]g(x) = -4\left(\frac{1}{2}\right)^x[/tex]
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Function f(x) is given by:
[tex]f(x) = 4\left(\frac{1}{2}\right)^x[/tex]
Function g(x) is a reflection of g(x) over the x-axis, that is, is is multiplied by -1, hence:
[tex]g(x) = -f(x) = -4\left(\frac{1}{2}\right)^x[/tex]
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Gerald has a punch bowl in the shape of a hemisphere as shown below.
One cup is equivalent to approximately 15 cubic inches. Which of the following is closest to the maximum number of cups the punch bowl can hold?
A. 60 cups
B. 45 cups
C. 30 cups
D. 18 cups
The closest to the maximum number of cups the punch bowl can hold is 30
How to determine the number of cups?The given parameters are:
1 cup = 15 cubic inches
Diameter of bowl, d = 12 inches
The radius is the half of the diameter.
So, we have:
r = 6
The volume of the bowl is then calculated using:
[tex]V = \frac{2}{3}\pi r^3[/tex]
This gives
[tex]V = \frac{2}{3}\pi * 6^3[/tex]
Evaluate
V = 452.16
The maximum number of cups is then calculated using:
Cups = 452.16/15
Evaluate
Cups = 30.1444
Approximate
Cups = 30
Hence, the closest to the maximum number of cups the punch bowl can hold is 30
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An insurance company estimates that the value of a car depreciates by 20% each year (That also means it retains 80% of its value each year). The company used an exponential function to predict the value of a car, v, as a function of time, t, in years. Part A If the value of a brand new car is $32,000.00. Which expression can the company use to predict the value of the car? I need help plsssss
The expression, the company can use to predict the value of the car is v =32000 (0.8)^t
What is insurance company?The company which provides term life or accidental or death insurance in terms of money when one subjects to any of the conditions.
Given is an insurance company estimates that the value of a car depreciates by 20% each year (That also means it retains 80% of its value each year). The company used an exponential function to predict the value of a car, v, as a function of time, t, in years.
The rate of interest r in percentage = 100 - 20 = 80%
If the value of a brand new car is P =$32,000.00.
The value of car will be
value = P x r^t
v = $32,000 x(0.8)^t
Thus, this is the expression insurance company uses to find the value of car.
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I need help ASAP PLEASE > How does the graph of f(x) = (x + 7)3 − 8 compare to the parent function g(x) = x3? (Please explain with your on words)
Answer:
The graph has been moved 7 units to the left and 8 units down.
Step-by-step explanation:
When numbers are added directly to the "x" value, the graph shifts to the left. If negative numbers are added directly to the "x" value, the grap shifts to the right. Therefore, if there is a +7 directly altering the "x" value, the function shifts 7 units to the left.
When a number is added to the overall function, it shifts upwards. If this number is negative, the entire function shifts downwards. Therefore, if there is a -8 outside altering the function, then it has been shifted 8 units down.
A. Using the spinner above, what is the probability that a player will draw 3 cards?
B. What is the probability that a player will draw 1 card on the first spin and 2 cards on a second spin?
C. Harold wants the probability that a player draws 3 cards and moves 2 spaces to be 3/8. How can he change the spinners to result in this probability?
Answer:
A-1/3
B-1/8
C-?
Step-by-step explanation:
Suppose a nuclear power plant disaster occurs. How could GDP be a "false beacon" in this case?
If there was a nuclear plant disaster, then GDP would be a false beacon because it would account for government spending but not for the pollution caused.
Why would GDP be a false beacon?Two of the components of GDP are government spending and private investment.
If there is a nuclear plant disaster, either the government will spend a lot to clean it up, or a private company will depending on if the plant is public or private.
GDP would therefore increase.
This would be a false beacon however, because this increase would not take into account the nuclear pollution that would have occurred that would negatively impact future production.
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One of the roots of the equation x^2-13x+q=0 is 12. Find the other root and the value of the coefficient q.
The other root is 1 and the value of the coefficient q is 12.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x. ax²+bx+c=0. with a ≠ 0 .
Given:
x²-13x+q=0
when x= 12
So, 12²-13*12+q=0
144-156+q=0
-12+q=0
q=12
Now, x²-13x+12=0
x²-12x-x+12=0
x(x-12) - 1(x-12)=0
(x-1)(x-12)=0
x=1, 12
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worth lots of points thank you :)
please help and write explanation :)
Answer: The original price of the fridge is $585
Explanation:
Given she discounts all prices of the fridges by 20%
This 20% is the reduced price of the original cost.
Solve for per unit:
20% ⇒ $117
1% ⇒ $(117/20) = $5.85
Recall, the original price is always of 100%
100% ⇒ $5.85 × 100 = $585
Answer:
$585
Step-by-step explanation:
If there is a discount of 20% and the price is reduced by $117, then that means :
20% of Original Price (T) = $1170.2T = 117T = 117/0.2T = 117 x 5T = $585Explain a time in your life you underwent metamorphosis
Answer: Maybe when you Grew from a Baby to a toddler because that would be you growing over time
Step-by-step explanation:
I Hope This Helps!
If (1, 0) is an ordered pair of the function F(x), which of the following is an
ordered pair of the inverse of F(x)?
If the ordered pair (1, 0) represents the function F(x), then the ordered pair (0, 1) represents the inverse of F(x). Option A is correct.
What is a function?A connection between independent variables and the dependent variable.is defined by the function.
The complete question is
"If (1,0) is an ordered pair of the function f(x), which of the following is an ordered pair of the inverse of f(x)?
A. (0,1)
B. (0,0)
C. (1,0)
D. (1,1)"
Functions help to represent graphs and equations. A function is represented by the two variables one is dependent and another one is an independent function.
The relation between them is shown as y if dependent and x is the independent variable.
If the ordered pair (1, 0) represents the function F(x), then the ordered pair (0, 1) represents the inverse of F(x).
F(x)∈ (1, 0)
F⁻¹(x)∈(0, 1)
Hence, option A is correct.
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Factor out the GCF from the given polynomial.
14x-2
Answer:
2(7x-1)
Step-by-step explanation:
14 & 2 gcf 2 factor and wal lah!
What is the range of this exponential function?
f(x) = 2.7x
The range of the exponential function f(x) = 2.7ˣ will be from zero to infinity that is (0, ∞).
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The exponential function is given below.
f(x) = 2.7ˣ
We know the value of the exponential function is always positive.
Then the range of the exponential function f(x) = 2.7ˣ will be from zero to infinity that is (0, ∞).
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The height of Canadian women was distributed normally with a mean of 161 cm
and a standard deviation of 6 cm. Determine the likelihood that a Canadian woman chosen
randomly will have a height that is between 158 cm and 163 cm.
Includes a sketch of the region under the curve below.
2014
b) The probability that a Canadian woman's height will be larger than x cm is 1%.
Determine x, to the nearest centimeter.
The probability of having a height that is between 158 cm and 163 cm is 0.69011 and the value of x is 169 centimeters
The probability of having a height that is between 158 cm and 163 cmThe given parameters are:
Mean = 161Standard deviation = 6Calculate the z-scores at x = 158 and x = 163 using:
[tex]z = \frac{x - \mu}{\sigma}[/tex]
So, we have:
[tex]z = \frac{158 - 161}{6} = -0.5[/tex]
[tex]z = \frac{163 - 161}{6} = 0.33[/tex]
The probability is then represented as:
P(158 ≤ x ≤ 161) = P(-0.5 ≤ z ≤ 0.33)
Using the z table, we have:
P(158 ≤ x ≤ 161) = 0.69011
Hence, the probability of having a height that is between 158 cm and 163 cm is 0.69011
The value of x in the probabilityThe probability is represented as:
P(X ≥ x) = 1%
Express as decimal
P(X ≥ x) = 0.10
The z-score at p = 0.10 is:
z = 1.282
Substitute z = 1.282 in [tex]z = \frac{x - \mu}{\sigma}[/tex]
[tex]1.282 = \frac{x - \mu}{\sigma}[/tex]
Make x the subject
[tex]x = 1.282\sigma + \mu[/tex]
Substitute values for standard deviation and mean
x = 1.282 * 6 + 161
Evaluate
x = 168.692
Approximate
x = 169
Hence, the value of x is 169 centimeters
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D = {f, g, k}
L = {a,f,j}
Find the intersection of D and L.
Find the union of D and I.
Answer:
Step-by-step explanation:
D∩L={f}
D∪L={a,f,g,j,k}