Create an image of rectangle ABCD that is
translated 6 units to the right and 3 units up
by plotting the corresponding vertices.
Plot the vertex that corresponds to A.
Answers
The image of the rectangle ABCD translated 6 units to the right and 3 units up is shown below .
In the question ,
a rectangle is given
the vertex of the rectangle ABCD is given as
A(-10,-6) , B(-10,-2) , C(-6,-2) , D(-6,-6) .
On applying the translation 6 units to right and 3 units up ,
the rule is (x,y)→(x+6,y+3)
by applying the rule for the translation
we get image as
A'(-4,-3) ,B'(-4,+1) , C'(0,1) , D'(0,-3)
The image is plotted below .
Therefore , The image of the rectangle ABCD translated 6 units to the right and 3 units up is shown below .
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Related Questions
3300 dollars is placed in an account with an annual interest rate of 6.75%. To
the nearest tenth of a year, how long will it take for the account value to reach
10700 dollars?
Answers
The simple interest formula is A = P(1+r t) then the value of t =33.2210 years.
What is meant by simple interest?Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.
The simple interest formula is equal to
A = P(1+r t)
where, A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
P = $ 3300
A = $ 10700
r = 6.75 % = 6.75 / 100 = 0.0675
substitute in the formula above
$10700 = 3300(1+0.0675 t)
simplifying the above equation, we get
Divide both sides by 3300
[tex]$\frac{3300(1+0.0675 t)}{3300}=\frac{10700}{3300}$$[/tex]
Simplifying the above equation, we get
[tex]$1+0.0675 t=\frac{107}{33}$$[/tex]
Subtract 1 from both sides
[tex]$1+0.0675 t-1=\frac{107}{33}-1$$[/tex]
Simplifying the above equation, we get
[tex]$0.0675 t=\frac{74}{33}$$[/tex]
Divide both sides by 0.0675
[tex]$\frac{0.0675 t}{0.0675}=\frac{\frac{74}{33}}{0.0675}[/tex]
[tex]$t=\frac{74}{2.2275}$[/tex]
t = 33.2210 years
Therefore, the value of t exists 33.2210 years.
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Write a quadratic function in standard form whose graph passes through (-5,0),(0,-8),(4,0)
Answers
[tex]y = -1.25 x^{2}+ 5[/tex] is the needed quadratic function in standard form.
What is a quadratic equation?A quadratic equation is one with a single degree 2-variable and has the general form [tex]a x^{2} + bx + c = 0.[/tex] a, b, and c is the constant value, and x consists of a variable.
The quadratic equation's x-intercepts are (-5, 0). That indicated that the quadratic equation's two elements are (x + 5) and (x -0).
f(x) = a (x + 5) (x - 0) (x - 0)
= ax+5a
f(x) = [tex]ax^{2} +5x[/tex]
The quadratic equation's graph goes through (4, 0). Therefore, we must change equation 1 to read x = 4 and f(x) = 0.
0 = a × 4² + (5 × 4)
0 = a × 16 +20
a = [tex]\frac{-20}{16}[/tex]
=-1.25
The quadratic equation is known to have the form ax² + bx + c = 0.
f(x) = -1.25[tex]x^{2}[/tex] + 5x
Consider y= F(x)
∴ The required quadratic equation of function in the standard form is Y = -1.25 x² + 5x.
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On the graph below, which dotted line represents a reflection across the x-axis of the red-solid-line graph?5 stars for quicknessplease look at png 1 is question 2 is answer
Answers
Hello!
The rule for a reflection across the x-axis is:
[tex](x,y)=(x,-y)[/tex]Knowing it, let's write some points that the red line passes through:
(-2, 0) and (0, 4).
Now, let's use this rule and change the sign of the y coordinate:
• (-2, 0) → (-2, 0) because +0 or -0 doesn't exist.
,• (0, 4) → (0, -4)
Let's analyze it and find a line that passes through these two points:
(-2, 0) and (0, -4)
It will be the blue line.
Ms. Banks divides 18 basketballs evenly among 3 bags. For class, she takes 2 basketballs from each bag. How many basketballs are left in one of the bags?
Answers
4 basketballs
Explanation
Step 1
Ms. Banks divides 18 basketballs evenly among 3 bag
divide the 18 basketballs by 3 bags
[tex]\frac{18\text{ basketball}}{3\text{ bags}}=6\text{ basketaball per bag}[/tex]Step 2
now, she takes 2 from each bag, so
[tex]\begin{gathered} \text{total basketball per bag=6-2} \\ \text{total basketball per bag =4} \end{gathered}[/tex]Hence, the answer is 4 basketballs.
I hope this helps you
help ................
Answers
Percentage of a number
Find a number which
its a 100% percentage
henW
When 232 is 290%
Then find
X = (100%/290)• 232
Divide 232/29 = 10% = 8 exactly
Now multiply by 10 = 10• 8 = 80
Then 100% = 80
calculate the perimeter of kite ABCD where AB = 29 cm and CD = 47 cm
Answers
Answer:
152 cm
Step-by-step explanation:
Perimeter of kite= 2(a+b)
P= 2(AB+CD) = 2(29+47) = 2 *(76) = 152 cm.
If something remains unclear, be free to ask questions!
Find the x-intercept and y- intercept of the function f(x) = (2x + 3)/(x ^ 2 + 3)can u draw the function of f(x) = (2x + 3)/(x ^ 2 + 3)?Need solution ^^
Answers
Answer:
• x-intercept: (-1.5, 0).
,• y-intercept: (0, 1).
Explanation:
Given the function:
[tex]f(x)=\frac{2x+3}{x^2+3}[/tex](a)x-intercept
The x-intercept is the value of x at which f(x)=0.
When f(x)=0
[tex]\begin{gathered} \frac{2x+3}{x^2+3}=0 \\ \text{ Cross multiply} \\ 2x+3=0 \\ \text{ Subtract 3 from both sides of the equation} \\ 2x+3-3=0-3 \\ 2x=-3 \\ \text{ Divide both sides of the equation by 2} \\ \frac{2x}{2}=-\frac{3}{2} \\ x=-1.5 \end{gathered}[/tex]The x-intercept is located at (-1.5, 0).
(b)y-intercept
The y-intercept is the value of f(x) at which x=0.
When x=0
[tex]\begin{gathered} f(x)=\frac{2x+3}{x^2+3} \\ f(x)=\frac{3}{3} \\ f(x)=1 \end{gathered}[/tex]The y-intercept is at (0, 1).
(c)Graph
The graph of f(x) is given below:
Multiply 58*7 enter your answers in the boxes to complete the area model
Answers
We will get 406 after multiplication .
What does multiply mean?
Multiplying in math is the same as adding equal groups. The number of items in the group grows as we multiply. A multiplication issue has two factors, a product, and two factors. The factors in the multiplication problem 6 x 9 = 54 are the numbers 6 and 9, and the product is the number 54.Calculating the outcome of adding a number several times is known as multiplication in elementary algebra. Each of the numbers and is referred to as a factor of the product, which is the outcome of a multiplication.58 * 7 = 406
We will get 406 after multiplying .
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Which equation demonstrates the distributive property? Responses A 36 + 9 = 4536 + 9 = 45 B 36 + 9 = 3(12 + 3)36 + 9 = 3(12 + 3) C 36 x 9 = 9 x 3636 x 9 = 9 x 36 D (12 + 3)3 = 3(12 + 3)
Answers
The correct option is option B i.e., 36 + 9 = 3(12 + 3) is an equation representing distributive property.
What is distributive property ?
Distributive property states that the outcomes are the same whether the numbers in parenthesis are added before or after multiplication.
We know that according to the distributive property both sides must be equal such that the outcomes are same whether the numbers in parenthesis are added before or after multiplication. The expression for distributive property is given as : a(b + c) = ab + ac
So , checking the options one by one :
A) 36 + 9 = 45 ; is not an equation representing distributive property as it doesn't satisfy the criteria of a distributive property.
B) 36 + 9 = 3(12 + 3) is an equation representing distributive property as it satisfies the criteria mentioned above i.e.,
36 + 9 = 3 × 12 + 3 × 3
36 + 9 = 36 + 9
45 = 45
C) 36 x 9 = 9 x 36 is not an equation representing distributive property.
D) (12 + 3) × 3 = 3 × (12 + 3) is not an equation representing distributive property because both sides are written in the same way.
Therefore , correct option is option B i.e., 36 + 9 = 3(12 + 3) is an equation representing distributive property.
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find 11/3÷2/3
The quotient is 5 and ___.
Answers
After conducting mathematical operations, we know that 11/3÷2/3 leaves a remainder of 5½.
What are mathematical operations?A function in mathematics known as an operation is one that transforms zero or more input values into a clearly defined output value. The operation's complexity is determined by its operand count. A mathematical operation is a procedure. A mathematical operation can be anything from addition to subtraction to multiplication to division to finding the root.So, 11/3÷2/3:
We need to perform the division of the given fractions as follows:(Refer to the image attached below for calculations)11/3÷2/3 = 5½Therefore, after conducting mathematical operations, we know that 11/3÷2/3 leaves a remainder of 5½.
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Mr. Lombardo took his two children to a water park. He used the coupon shown below to buy one adult ticket. The price of admission for all three family members was $76. What was the price of each child's ticket? WORLD OF WATER | This coupon is good | for one adult ticket | to World of Water | at a price of $28.00. YOU SAVE $4.00! Use the math you already know to solve the problem. a. What ticket price do you know? How much is that ticket? Explain.
Answers
Data Input
1 Adult + 2 children
The price for all three family members
$76
Procedure
Adult ticket = $28
1 Adult + 2 children = $76
2 children = 76 - 1 adult
2 children = 76 - 28
2 children = 48
children = 48/2
children = 24
Please help me solve: Part CA sign in a freight elevator states that the maximum capacity of the elevator is 2,500 pounds. Use the average weight of a box as 75 pounds and the average weight of a crate as 160 pounds to complete the following parts.If there are 13 average-weight boxes on the elevator, what is the maximum number of average-weight crates that can also be on the elevator given its maximum capacity? Please explain.
Answers
Let
x ----> number of average-weight crates
so
we have that
[tex]75(13)+160x\leq2,500[/tex]solve for x
[tex]\begin{gathered} 975+160x\leq2,500 \\ 160x\leq2,500-975 \\ 160x\leq1,525 \\ x\leq9.53 \end{gathered}[/tex]therefore
the maximum number of average-weight crates is 92. Zandile invests her Christmas bonus for R 875.00 in a bank that offers
interest rates of 9% p.a. compounded half-yearly. How much interest will she
have earned after 6 years? I want the interest
Answers
After 6 years, Zandile earns an interest of rupees 608.9 after investing her Christmas bonus for R 875.00 in a bank that offers interest rates of 9% p.a. compounded half-yearly.
What is interest?The simplest way to calculate interest is as a percentage of the principal. For instance, if you agreed to borrow $100 from a friend with 5% interest, the interest you would pay would only be 5% of $100: $100(0.05) = $5.
What is compound interest?Compound interest is when an amount receives interest on top of it each time interest is paid on the original amount. The principal (original) sum and the interest that has already accrued over the course of previous periods are used to calculate compound interest.
Here,
Principal amount= 875
Rate of interest= 9% pa
Compounding= half-yearly (2/year)
Time= 6 years
A = P(1 + r/n)ⁿᵇ
A=final amount
P=initial principal balance
r=interest rate
n=number of times interest applied per time period
b=number of time periods elapsed
A=875(1+9/6)⁶*²
A=₹1,483.90
Zandile invests her Christmas bonus of R 875.00 in a bank that offers interest rates of 9% per year compounded semi-annually, and after 6 years, she earns an interest of Rs 608.99.
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Solve the quadratic equation X^2+5x+6=0 using the completing the square method. Be sure to explain each step.
Answers
To complete the perfect trinomial, we add (5/2)² to the given equation and get:
[tex]x^2+5x+(\frac{5}{2})^2+6=(\frac{5}{2})^2.[/tex]Subtracting 6 we get:
[tex]x^2+5x+(\frac{5}{2})^2=\frac{25}{4}-6=\frac{1}{4}.[/tex]Therefore:
[tex](x+\frac{5}{2})^2=\frac{1}{4}.[/tex]Finally, we get:
[tex]\begin{gathered} x+\frac{5}{2}=\pm\sqrt{\frac{1}{4}}, \\ x=\pm\frac{1}{2}-\frac{5}{2}. \end{gathered}[/tex]Answer: [tex]\begin{gathered} x_=-3,\text{ or x=-2.} \\ \end{gathered}[/tex]FIRST PERSON TO ANSWER THIS GETS BRAINILEST.
Determine if the two expressions in each pair are equivalent.If they are equivalent,select the property that is illustrated.
Answers
Answer:
The second one is the Multiplicative Property of Zero.
The fourth one is the Commutative property.
Answer:
The second and third one
Step-by-step explanation:
For each graph below, state whether it represents a function.
I need help with graph 2
Answers
Answer: No
Step-by-step explanation:
The graph fails the vertical line test, and thus the graph does not represent a function.
graph the system below2x-3y=-183x+y=-5
Answers
ANSWER:
STEP-BY-STEP EXPLANATION:
We have the following system of equations:
[tex]\begin{gathered} 2x-3y=-18 \\ \\ 3x+y=-5 \end{gathered}[/tex]To graph, we calculate the intercepts in each equation to then draw the straight line corresponding to each equation, like this:
[tex]\begin{gathered} \text{ For }2x-3y=-18 \\ \\ \text{The x-intercept} \\ \\ \:2x-3\cdot 0=-18 \\ \\ x=-9\rightarrow(-9,0) \\ \\ \text{The y -intercept} \\ \\ 2\cdot0-3y=-18 \\ \\ y=6\rightarrow(0,6) \\ \\ \\ \text{For }3x+y=-5 \\ \\ \text{The x-intercept} \\ \\ 3x+0=-5 \\ \\ x=-\frac{5}{3}\rightarrow\left(-\frac{3}{5},0\right) \\ \\ \text{The y- intercept} \\ \\ \:3\cdot 0+y=-5\: \\ \\ y=-5\rightarrow(0,-5) \end{gathered}[/tex]Now we graph:
Simplify the following rational expression to determine if thegiven simplification is correct. If it is correct, select TRUE. If it isnot correct, select FALSE.6x48x556x47
Answers
The question asks us to confirm the simplification of the expression:
[tex]-\frac{48x^5}{56x^4}[/tex]Step 1: Factor the numbers
[tex]\begin{gathered} 48=8\times6 \\ 56=8\times7 \end{gathered}[/tex]Therefore, the expression becomes:
[tex]-\frac{48x^5}{56x^4}=-\frac{8\times6x^5}{8\times7x^4}[/tex]Step 2: Cancel out the common terms from the expression
[tex]-\frac{8\times6x^5}{8\times7x^4}=-\frac{6x^5}{7x^4}[/tex]Step 3: Apply the rule of exponents
[tex]\frac{x^n}{x^n}=x^{m-n}[/tex]Therefore, we have:
[tex]-\frac{6x^5}{7x^4}=\frac{6}{7}x^{5-4}=-\frac{6x}{7}[/tex]CONCLUSION
The expression simplifies to give:
[tex]-\frac{48x^5}{56x^4}=-\frac{6x}{7}[/tex]The answer is TRUE.
18. A rectangular table cloth has a width of 3 yards 1 foot and a length of 4 yards. Part A. Debbie says that the width could also be written as 4 feet. Explain wether you agree or disagree with Debbie. Part B. The cost of the fabric used to make the tablecloth is $0.25 per square foot. Explain how to find the cost of the fabric needed to make the table cloth.
Answers
A)
In order to check this sentence, we need to convert the value from foot to yard.
Knowing that 1 yard is equal 3 feet, we have that:
[tex]3\text{ yards 1 foot}=3\cdot3\text{ feet + 1 foot}=9\text{ feet + 1 feet}=10\text{ feet}[/tex]So Debbie's affirmation is incorrect, therefore we disagree.
B)
First we need to calculate the area of the table cloth.
Converting the length to foot, we have:
[tex]4\text{ yards}=4\cdot3\text{ feet}=12\text{ feet}[/tex]Now, calculating the area (which is the product of the length and the width), we have:
[tex]\text{Area}=10\cdot12=120\text{ ft}^2[/tex]If each square foot is $0.25, we just need to multiply the area by the cost of one square foot in order to find the cost of the fabric for the table cloth:
[tex]\text{Cost}=120\cdot0.25=30[/tex]So the cost is $30.
continued - calculating gross payRemember, this is money round to the nearest Penny/hundredths place. Take OT rate as 1.5 times the regular pay rate.Take the regular working hours per week as 40 hours.
Answers
Given Data:
Total working hours is = 51 hours.
Pay rate=$8.45.
OT rate=1.5 times the regular pay rate.
Regular working hours is 40 hours.
Regular pay can be determined as,
[tex]RP=40\text{ hours}\times8.45\text{ USD=338 USD}[/tex]Thus, the regular pay is $338.
The OT rate can be determined as,
[tex]\begin{gathered} OT=1.5\times8.45\text{ USD} \\ =12.675\text{ USD} \end{gathered}[/tex]Thus, the overtime rate is $ 12.68.
The overtime pay can be determined as,
[tex]\begin{gathered} OT\text{ Pay=(51-40) hours}\times12.675\text{ USD} \\ =139.425\text{ USD} \end{gathered}[/tex]Thus, the overtime pay is $139.43.
The gross pay can be determined as,
[tex]\begin{gathered} GP=RP+OT\text{ Pay} \\ =338\text{ USD+139.425 USD} \\ =447.425\text{ USD} \end{gathered}[/tex]Thus, the gross pay is $ 447.425.
Jae created a painting with an area of 48 square inches and a length of 6 inches. They create a second painting with an area of 64 square inches. It has the same width as the first painting. What is the length of the second painting?
Answers
Width = Area / Length
Width of the first painting = 48 / 6
Width of the first painting = 8 inches
We now know the width of the first created painting is 8 inches. We can plug this into our second equation for evaluation:
Length of second painting = Area / 8
Length of second painting = 64 / 8
Length of second painting = 8 inches
Upon evaluation, we will find that the length of the second painting is 8 inches.
Red Lobster charges $30 per person plus a $100 set up fee to cater an event. Olive Garden charges $25 per person plus a $200 set up fee. PART A: How many guests, g, would both restaurants cost the SAME
Answers
There would be 20 guests for the restaurants to cost the same
What are linear equations?Linear equations are equations that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the number of guests?From the question, we have the following parameters:
Red Lobster
Rate per person = $30
Set up fee = $100
Olive Garden
Rate per person = $25
Set up fee = $200
So, the equations of the restaurants are
Red Lobster = 30g + 100
Olive Garden = 25g + 200
Where the number of guests is g
When the restaurants cost the same amount, we have
Red Lobster = Olive Garden
Substitute the known values in the above equation
So, we have
30g + 100 = 25g +200
Evaluate the like terms
5g = 100
Divide by 5
g = 20
Hence, the number of guests is 20
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Let x be a continuous random variable that has a normal distribution with μ = 48 and 6 = 8. Assuming -
≤0.05, find the
probability that the sample mean, x, for a random sample of 16 taken from this population will be between 49.60 and 52.20.
Round your answer to four decimal places.
Answers
The probability of the sample mean is 0.2008.
What is probability?
Probability is the quality or state of being probable the extent to which something is likely to happen or be the case.
Sol-Let x be a continuous random variable that has a normal distribution with
μ=48 and σ=8
Thus,
X~N(48,8^2/16)
The standardized value of x is obtained by :
Z= X-48/√8^2/16~N(0,1)
The probability that the sample mean x for a random sample of 16 taken from this population will be between 49.62 and 52.80 can be obtained as:
P(49.62<x<52.80)
P=(49.62-48/√8^2/16<x-48/√8^2/16<52.80-48/√8^2/16)
=P(0.81<Z<2.4)
=P(Z<2.4)-P(Z<0.81)
=0.9918-0.7910
=0.2008
There for the probability is 0.2008.
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Make x the subject of h = 4(x + 3y) + 2
Answers
Answer:
x=\frac{1}{4}(h-12y-2)x=4
Step-by-step explanation:x=\frac{1}{4}(h-12y-2)x=
4
1
(h−12y−2)
Step-by-step explanation:
We are given the equation h=4(x+3y)+2h=4(x+3y)+2 .
Simplifying for x, we get,
h=4(x+3y)+2h=4(x+3y)+2
i.e. h=4x+12y+2h=4x+12y+2
i.e. 4x=h-12y-24x=h−12y−2
i.e. x=\frac{1}{4}(h-12y-2)x=
4
1
(h−12y−2)
Thus, the equation for x is x=\frac{1}{4}(h-12y-2)x=
4
1
Simplify the expression 2^5 +5^4
Answers
Therefore
[tex]2^5+5^4=657[/tex]What kind of transformation converts the graph of f(x) = -x - 10 into the graph of g(x)
-9x - 10?
horizontal stretch
vertical stretch
vertical shrink
horizontal shrink
=
Answers
Answer:
zeroay horizontal stretch vertical shrink
Step-by-step explanation:
1+1=2
how would I answer and what would be the answer?
Answers
Answer: (-1, 0)
The interval of decreasing refers to the interval of x-values where the graph is decreasing or going down.
If we look at the graph:
We can see that the graph starts to decrease or "go down" at values x = -1 and x=0. With this, we can conclude that the interval of decrease for the given graph is (-1, 0)
Mr. Thomatos thinks that {3, 8} and [3, 8] represent the same set of values Is Mr. Thomatos correct? Why or why not? Explain. (giving brainliest)
Answers
Answer: its not correct because the got different perenties or groupings and they mean different meaning
Step-by-step explanation:
Need help with problems
Answers
You can write the relation between distance and time, as follow:
y = kx
where y is the distance, x is the time and k is the constant of proportionality.
k can be obtained with the given information, as follow:
k = 90/30 = 3
Then, the equation of the relationship is:
y = 3x,
for a time of 10 seconds, the distance traveled is:
y = 3(10) = 30
Hence, the answer is:
y = 3x , 30 feet
Factor: x^6-5x^4-5+x
Answers
The value of the expression x^6 -5x^4 - 5 + x when simplified is x^4(x^2 - 5) - (5 + x)
How to factor the expression?The statement is given as
Factor: x^6 -5x^4 - 5 + x
From the above expression, we have
x^6 -5x^4 - 5 + x
Group the expression in two'2
So, we have
x^6 -5x^4 - 5 + x = (x^6 - 5x^4) - (5 + x)
Factorize each group of the expression
So, we have
x^6 -5x^4 - 5 + x = x^4(x^2 - 5) - (5 + x)
The above expression cannot be further simplified
Hence, the value of x^6 -5x^4 - 5 + x is x^4(x^2 - 5) - (5 + x)
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