Graph the equation. y = -(x-4)^2+4
You have saved $16,000 for a down payment on a house. Your bank requires a minimum down payment of 15%.
What is the maximum price you can offer for a home in order to have enough money for the down payment?
Which statement describes the relationship between the function and its inverse? The range of both f(x) and f–1(x) is all real numbers. The domain of both f(x) and f–1(x) is all real numbers. The range of f(x) is y > 0 and the domain of f–1(x) is x > 0. The domain of f(x) is x > 0 and the range of f–1(x) is y > 0.
The true statement about a function and its inverse is, the range of both f(x) and f⁻¹(x) is all real numbers.
What is an inverse function?The inverse of a function f is denoted by f⁻¹ and it exists only when f is both one-one and onto function.
f⁻¹ isn't the reciprocal of f. The composition of the function f and the reciprocal function f⁻¹ gives the domain value of x.
The true statement about a function and its inverse is,
The range of both f(x) and f⁻¹(x) is all real numbers.
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Find the values of x, y, and z in the triangle.
(Image attached.)
Find the HCF of 2, 4 and 4/5.
(A) 1/20 (B) 1/40 (C) 20 (D) 15
Answer:
1/20
Step-by-step explanation:
You can find the HCF (Highest Common Factor), also known as GCF, by dividing the numbers by the list of answers. And, if they all come out as whole numbers, then the answer you chose will be the answer. But, if there is another answer that also comes out as whole numbers for all of them, we choose the biggest one (HCF):
2 ÷ 1/20 = 40
4 ÷ 1/20 = 80
4/5 ÷ 1/20 = 16
So, 1/20 is definitely one of the answers, but we should check the other ones too:
2 ÷ 1/40 = 80
4 ÷ 1/40 = 160
4/5 ÷ 1/40 = 32
So, even though we also got whole numbers for this one, it isn't the answer because 1/20 is bigger than 1/40 so far. Let's try the last two answers:
2 ÷ 20 = 0.1
So, we already got our answer. We don't need to check the rest of the numbers, because the first one is already not a whole number. Let's try the final answer:
2 ÷ 15 = 0.13333333
This is not the right one either. So, our answer is 1/20 because it is the biggest one that came out as all whole numbers.
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Give the degree of the polynomial.
Answer: 7
This is a seventh degree polynomial.
Step-by-step explanation:
The degree of the polynomial is the highest exponent.
Step-by-step explanation:
7 is the degree of the polynomial
7 is the highest exponent.
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6. The table shows the number of goals scored by a soccer team in 20 matches.
4
1
1
2
2
1
1
3
0
4
0
3
1
2
2
2
3
4
(a) Represent the data on a dot diagram.
(b) Find
(i) the mean,
(ii) the median,
2
(iii) the mode, of the distribution.
3
a) The dot plot of the data-set is given by the second image shown at the end of the answer.
b - i) The mean of the distribution is of: 1.6 goals.
b - ii) The median of the distribution is of: 1.
b - iii) The mode of the distribution is of: 1 goal.
What are the measures?The mean is given by the sum of all observations of the data-set, hence it is of:
Mean = (0 x 5 + 1 x 6 + 2 x 4 + 3 x 3 + 4 x 1 + 5 x 1)/20 = 1.6.
The median of the distribution is the middle value of the distribution, which is the value of which half the distribution is less than and half is greater than.
Adding in the frequency table given at the end of the answer, it is found that the middle term is of 1, as the sum of the frequencies reaches 10, which is half of the cardinality of 20, at a number of 1.
The mode is the term with the highest absolute frequency, hence it is also of one goal, as it has the highest absolute frequency, which is of 6.
The dot plot gives a dot to each measure for each time that it appears, hence it says the same thing as the table, in a different format.
Missing InformationThe table is given by the first image shown at the end of the answer.
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2:8=12:_____________
48 let the unknown part be x. And make it 2/8=
68. A researcher wants to know if the mean
times (in minutes) that people watch their
favorite news station are the same. Suppose
that Table 13.24 shows the results of a
study.
CNN
45
12
18
38
23
35
Table 13.24
FOX
15
43
68
50
31
22
Local
72
37
56
60
51
Assume that all distributions are normal, the
four population standard deviations are
approximately the same, and the data were
collected independently and randomly. Use a
level of significance of 0.05.
By using the concept of mean and standard deviation, it can be inferred that
The the drug stays in the system for more than 397 minutes
What is mean and Standard Deviation?
Suppose there is a data set and the average of the data set has to be calculated. To calculate the average of the data set, mean is used
To know about Standard Deviation, it is important to know about Variance
Variance is the sum of the square of deviation from mean.
Square root of the variance gives the standard deviation
Given n = 35,
Population mean = 397
Population Standard Deviation = 18
Here the sample size is large. So the distribution is approximately normal
To test :
Test statistic t =
= 1.97
p value at = 0.0244
Since 0.0244 < 0.05, the null hypothesis is rejected
So the the drug stays in the system for more than 397 minutes
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● 4.Harsh purchased 6kg 025g of fruits and 4 kg 325of vegetables and put them in a bag. The bag with its contents weighs 12 kg. What is the weight of the empty bag?
Step-by-step explanation:
6kg025g = 6025g
4kg 325g = 4325 g
6025+4325= 10350 g
12kg = 12000g
12000-10350 = 1650g = 1 kg 650 g
9. A water tank is filled at a constant rate.
After 36 minutes, there are 648 gallons of
water in the tank. How many gallons of
water flowed into the tank each minute?
Use the model.
36
כp
648
regist
the upc
has 49 vor
the same nu
voters will
Answer: 18 gallons
Step-by-step explanation:
648/36 = 18
-6 1/4x= -3 1/8
Whats the value of x
Answer:
Step-by-step explanation:
-25/4(x)= -25/8
x= -(25/8) X (4/-25)= 1/2
A rectangle has a length of 72cm and a width of 56cm. A second rectangle has the same area as this one, but its width is 21cm. What is the constant of variation.
192 cm is the length of rectangle.
What is rectangle?
An example of a quadrilateral with opposite sides that are both equal and parallel is a rectangle.
There are four 90-degree angles on its four sides, making it a four-sided polygon. A rectangle is a shape with only two dimensions.
Area of rectangle = 72 * 56
= 4032 cm²
the second rectangle's area is same as first rectangle .
4032 = x * 21
x = 4032/21
x = 192 cm
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Find the product.
(wz + 8)³ =
We are given:
Find the product.
[tex](wz+8)^3[/tex]
Solution:
[tex]w^3z^3+24w^2z^2+192wz+512[/tex]
Hope this helps!
Answer:
Step-by-step explanation:
The exponential form of log5 25 = 2 when written exponentially is 25 = 25.
False
True
Answer: never mind
Step-by-step explanation:
I need help with this Please been struggling all day
Answer:
x-intercepts: -0.16 and 3.16
vertex: (1.5, 5.5)
Step-by-step explanation:
an equation for the direct variation function of the points (-8, -6) and (12, 9)
Answer:
Your answer is [tex]y=0.75x[/tex] or [tex]y=\frac{3}{4} x[/tex]
Step-by-step explanation:
Using the formula [tex]\frac{y1-y2}{x2-x1}[/tex] we get [tex]\frac{3}{4}[/tex]
Using the formula [tex]y=kx[/tex] we get [tex]y=\frac{3}{4} x[/tex]
Sandpiper Company has 25,000 shares of cumulative preferred 1% stock, $150 par and 50,000 shares of $5 par common stock. The following amounts were distributed as dividends:
20Y1 $75,000
20Y2 15,000
20Y3 112,500
Determine the dividends per share for preferred and common stock for each year. Round all answers to two decimal places.
If Sandpiper Company has 25,000 shares of cumulative preferred 1% stock.
Dividends per share for preferred
Year 1 = $3 per shareYear 2 = $4.5 per shareYear 3 = $1 per shareCommon stock
Year 1 = $0Year 2 = $1.95Year 3 =$1.75How to find the dividends per share and common stock?The arrear $75,000 of unpaid dividends from year 1 will be paid to preferred stockholders in year 2
= ($150 x 1% x 25,000) +$75,000
= ($37,500 + $75,000)
= $112,500
Year 1 Year 2 Year 3
Distributed $75,000 $15,000 $112,500
Preferred $75,000 $112,500 $25,000
Common $0 $97,500 $87,500
Dividends per share for preferred
Year 1 = $75,000/25,000 shares
Year 1 = $3 per share
Year 2 = $112,500 /25,000 shares
Year 2 = $4.5 per share
Year 3 = $25,000/$25,000 shares
Year 3 = $1 per share
Common stock
Year 1 = 0/ 50,000 shares
Year 1 = $0
Year 2 =$97,500 / 50,000 shares
Year 2 = $1.95
Year 3 = $87,500 /50,000 shares
Year 3 =$1.75
Therefore the dividends per share for preferred is $3 per share, $4.5 per share, $1 per share and the common stock $0, $1.95, $1.75.
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THE ONE PIECE IS REAL
Answer: im going to be king of the pierates
Step-by-step explanation: :)
74 % of 315
estimate using the rate per 100
Answer:
23.4920634921
Step-by-step explanation:
74/315 x 100% = 23.4920634921
Can you please help me with this question
Answer: I can’t read it
Step-by-step explanation:
I need assistance on This question
Answer: it would be A.
Step-by-step explanation: I did the quiz
Please help me I need help
Answer:
El intercepto en y es 6,1
Step-by-step explanation:
Espero que esto ayude
When you apply the method to complete the square to find the solution to the equation
2x^2 +3x +3=4
What term should we sum/add on both sides of the equation?
A. 9
B. 9/4
C. 3/2
D. 9/16
Answer:
B
Step-by-step explanation:
2x²+3x=4-3=1
2x²+3x=1
to make it a perfect square we divide the coeff of X by 2 then square it and add it to both sides
=(3/2)²=9/4
f(x) = 3x² + 2x - 20 for x = 3
help please?
When we're given f(x) and x, we can evaluate the function by replacing every x with the given value, and simplifying.
Solving the Question[tex]f(x) = 3x^2 + 2x - 20[/tex]
⇒ Replace every x with 3:
[tex]f(3) = 3(3)^2 + 2(3) - 20\\\\f(3) = 3(9) + 6 - 20\\\\f(3) = 27 + 6 - 20\\\\f(3) = 13[/tex]
Answer[tex]f(3) = 13[/tex]
Step-by-step explanation:
A function is a relationship bound to one output for every single input the value of F(3) for the given function F(x)=3x²+2x-20 is 13.
What is a function?
The function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
A certain kind of relationship called a function binds inputs to essentially one output.
As per the given function,
F(x)=3x²+2x-20
Substitute, x = 3
F(3) = 3(3)^2 + 2(3) - 20
F(3) = 3(9) + 6 - 20
F(3) = 13
Hence "A function is a relationship bound to one output for every single input the value of F(3) for the given function F(x)=3x²+2x-20 is 13".
For more about the function,
solve -x+y=6 and 2x+5y=-12 using substitution method
x=-6 and y=0 are solutions for the equations 2x+5y=-12.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given equations,
-x+y=6...(1)
2x+5y=-12 ...(2)
From equation 1
y=6+x
Now put y value in 2
2x+5(6+x)=-12
2x+30+5x=-12
7x+30=-12
Subtract 30 on both sides
7x=-12-30
7x=-42
Divide both sides by 7
x=-6
Now plug in x value in equation 1
-(-6)+y=6
6+y=6
y=0
Hence, x=-6 and y=0 for the equations 2x+5y=-12.
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HELP ME PLEASE THANKS
Answer: Answer choice B
Step-by-step explanation:
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The quadratic function that models the graph on the image is given as follows:
y = (x - 1)² - 1.
What is the quadratic function?The features of the quadratic equation given from the graph are given as follows:
The vertex.The y-intercept.The equation of a quadratic function with vertex (h,k) is defined as follows:
y = a(x - h)² + k.
In which a is the leading coefficient of the function.
From the graph, the coordinates of the vertex are given as follows:
(1,1).
As the vertex is the turning point of the function.
Hence the parameters h and k have values of:
h = 1, k = 1.
Hence:
y = a(x - 1)² + 1.
The y-intercept of the function is of:
y = 2.
This means that when x = 0, y = 2, hence the leading coefficient a is obtained as follows:
2 = a(0 - 1)² + 1
a = 1.
Hence the equation is of:
y = (x - 1)² - 1.
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I WILL GIVE BRAINLY TO WHOEVER HELPS!!
Select all the equations that represent the bar diagram.
Answer:
A and C
Step-by-step explanation:
3. Find the length of the bridge.
20 ft
160 ft
32.5 ft