The parent function is root of x.
we have to subtract 5 to the function.
Hence the transformed function is
[tex]h(x)=\sqrt[]{x}-5[/tex]Round 835.411 to the nearest tenth.
The tenth position is the one that goes after the decimal point.
To round a number, you have to take into account the following:
1. If the number that goes after the position we are going to round to is greater than 5, we round to the next number in that position.
2. If the number that goes after the position we are going to round to is less than 5, we round to the same number in that position.
In this case, the number that is on the tenth's position is 4. The number that is after this position is 1, which is less than 5, then we round the number in this positon to 4.
The rounded number would be:
[tex]835.4[/tex]After a dilation, triangle A(0,0), B(0,4), C(6,0) becomes triangle A'(0,0), B'(0,10), C'(15,0). Choose the scale factor for this dilation.
The scale factor is 2.5
for B = 10/4 = 2.5
for C = 15/6 = 2.5
What is the measure of ∠KMN?A. 29 degreesB. 66 degreesC. 53 degreesD. 89 degrees
Since interior angles of a triangle add up to 180 degree, we get
[tex]\angle KMN+\angle KNM+\angle NKM=180[/tex]since angle NKM =39 and angle KNM = 75, we have
[tex]\angle KMN+75+39=180[/tex]which gives
[tex]\begin{gathered} \angle KMN+114=180 \\ \angle KMN=180-114 \\ \angle KMN=66 \end{gathered}[/tex]therefore, the answer is option B.
. Using ratios and the Pythagorean Theorem the approximate width is 23.5 inches and the height is inches.
Given:
There is a ratio given as 16:9 of width to height and diagonal is 27 iniches
Required:
We need to find the value of height
Explanation:
By ratio
[tex]\begin{gathered} \frac{w}{h}=\frac{16}{9} \\ \\ h=\frac{9}{16}w \end{gathered}[/tex]where w is width and h is height
by using pythagorean theorem
[tex]\begin{gathered} 27^2=h^2+w^2 \\ 729=\frac{81}{256}w^2+w^2 \\ \\ 186624=81w^2+256w^2 \\ w^2=553.78 \\ w=23.5\text{ in} \end{gathered}[/tex]to find h
[tex]h=\frac{9}{16}*23.5=13.24\text{ in}[/tex]Final answer:
height is 13.24 inches
Select the true statements.1.Over the interval [2, 3], the average rate of change of g is lower than that of both f and h.2.As x increases on the interval [0, ∞), the rate of change of f eventually exceeds the rate of change of both g and h.3.When x > 4, the value of f(x) exceeds the values of both g(x) and h(x).4.As x increases on the interval [0, ∞), the rate of change of g eventually exceeds the rate of change of both f and h.5.When x ≈ 8, the value of h(x) exceeds the values of both f(x) and g(x).6.A quantity increasing exponentially eventually exceeds a quantity growing quadratically or linearly.
Let's check each of the given statements:
1. Over the interval [2, 3], the average rate of change of g is lower than that of both f and h.
The statement is FALSE. The average rate of change of g is HIGHER than f and h.
2. As x increases on the interval [0, ∞), the rate of change of f eventually exceeds the rate of change of both g and h.
The statement is TRUE. f will exceed the rate of change of both g and h exponentially.
3. When x > 4, the value of f(x) exceeds the values of both g(x) and h(x).
Let's try to determine the value at x = 5 on each function to see if it's true.
[tex]\text{ f(5) = }3^5\text{ + 2 = 245}[/tex][tex]\text{ g(5) = }20(5)\text{ + 4 = }100\text{ + 4 = 104}[/tex][tex]\text{ h(5) = }2(5)^2\text{ + }5(5)\text{ + }2\text{ = 50 + 25 + 2 = 77}[/tex]Therefore, the statement is TRUE.
4. As x increases on the interval [0, ∞), the rate of change of g eventually exceeds the rate of change of both f and h.
The statement is FALSE. f will exceed the rate of change of both g and h exponentially.
5. When x ≈ 8, the value of h(x) exceeds the values of both f(x) and g(x).
The statement is FALSE. f will exceed the values of both g(x) and h(x) at x = 8.
6. A quantity increasing exponentially eventually exceeds a quantity growing quadratically or linearly.
The statement is TRUE. Proof on the statement 3 example.
Therefore, only Statements 2, 3 and 6 are TRUE.
Solve for y:W - y = 3W - 104w-10-2W +102W-10-4W + 10
Given:
The equation is,
[tex]w-y=3w-10[/tex]Explanation:
Simplify the equation for y.
[tex]\begin{gathered} w-y=3w-10 \\ w-3w+10=y \\ y=-2w+10 \end{gathered}[/tex]So answer is, -2w + 10
The complex fraction 3/2 4/7 can be simplified into which of the following
Simplify the complex fraction,
[tex]\frac{\frac{3}{2}}{\frac{4}{7}}[/tex]This can be re-written as:
[tex]\frac{3}{2}\div\frac{4}{7}[/tex]Simplify,
[tex]\frac{3}{2}\times\frac{7}{4}=\frac{21}{8}[/tex]Simplify further,
[tex]\frac{21}{8}=2\frac{5}{8}[/tex]What is the minimum number of intersection points a hyperbola and a circle could have? O A. 2 O B. 1 O C.3 O D.O
Answer:
D. 0
Explanation:
A hyperbola is a two-sided open curve facing opposite directions. Both sides do not intersect each other.
Given the situation below:
The two will not intersect, thus, the minimum number of intersection points a hyperbola and a circle could have is 0.
The correct choice is 0.
0.25 (4f - 3) = 0.05 (10f - 9)
SOLUTION:
Step 1:
In this question, we are given the following:
[tex]0.\text{ 25 ( 4f-3) = 0. 05 ( 10 f - 9 )}[/tex]Step 2:
The details of the solution are as follows:
[tex]\begin{gathered} 0.\text{ 25 ( 4f - 3 ) = 0. 05 ( 10 f - 9 )} \\ f\text{ - 0.75 = 0. 5 f - 0.45} \\ \text{collecting like terms, we have that:} \\ f\text{ - 0. 5 f = -0. 45 + 0. 75} \\ 0\text{. 5 f = }0.\text{ 3} \\ \text{Divide both sides by 0. 5 , we have that:} \\ f\text{ = }\frac{0.\text{ 3}}{0.\text{ 5}} \\ f\text{ = 0. 6} \end{gathered}[/tex]CONCLUSION:
[tex]\text{The value of f = 0. 6}[/tex]
Which values of x in the set {−5,0,8,9,10,14} are solutions to the inequality 2(x−4)<10?
Answer:
-5, 0, 8
Step-by-step explanation:
[tex]2(x-4)<10 \\ \\ x-4<5 \\ \\ x<9 \\ \\ \therefore x=-5,0,8[/tex]
Solve log x = 2A. 2B. 20C. 100D. 1,000
Explanation
logarithm is the exponent or power to which a base must be raised to yield a given number
[tex]\begin{gathered} if \\ y=b^x \\ then \\ x=\log_by \end{gathered}[/tex]hence
Step 1
for the given equation let
[tex]\begin{gathered} \log_x=2 \\ \end{gathered}[/tex]
hence
[tex]undefined[/tex]
whats 3.141, 3 2/3 π √3 3.11111 from least to greatest
start by writing all numbers like decimals
[tex]\begin{gathered} 3\frac{2}{3}=3.66666667 \\ \pi\cong3.1416 \\ \sqrt[]{3}=1.732 \end{gathered}[/tex]then using the decimals we can say that the least is square root 3 and the greatest is 3 2/3
The correct order should be
[tex]\sqrt[]{3};\bar{3.1};3.141;\pi;3\frac{2}{3}[/tex]An electrician cuts 114 meters from a roll of wire to install one LED bulb.
He has 1034 meters of wire available to install bulbs.
Use the drop-down menus to answer each question.
Answer: the first one is 22 5/8 divided by 2 2/3
and the second one is the whole number is the number of bows and the fraction is the leftover ribbon
Select the correct answer.Which expression is equivalent to 18-2V14r8 = 6/7x4, if X+0?OA.12:42B.314/2OC. 3x4/7D.3rv2
Simplify the expression.
[tex]\begin{gathered} \frac{18x^2\sqrt[]{14x^8}}{6\sqrt[]{7x^4}}=\frac{18x^2\cdot x^4\cdot\sqrt[]{14}}{6\cdot x^2\cdot\sqrt[]{7}^{}} \\ =3x^4\sqrt[]{\frac{14}{7}} \\ =3x^4\sqrt[]{2} \end{gathered}[/tex]Option B is correct.
Find the area of this triangle. Round tothe nearest tenth.20 ft15 ft[? ]ft²9 ft110⁰EnterHelpSkip
Step 1
The formula the area is given as;
[tex]\frac{1}{2}absinC[/tex]Where;
[tex]\begin{gathered} a=9,b=15\text{ C=110}^o \\ \frac{1}{2}\times9\times15\times s\imaginaryI n110 \\ \end{gathered}[/tex][tex]Area\approx63.4ft^2[/tex]Answer;
[tex]undefined[/tex]The graph of g(x) is obtained by reflecting the graph of f(x) = 4 Ixl over the x-axis. = Which equation describes g(x)? O g(x) = -4 Ixl O g(x) = lx – 41 = O g(x) = lxl - 4 - g(x) = (x + 41 =
To answer this question, we need to remember that if we have the function f(x), the function -f(x) is the reflection of the function f(x) in the x-axis.
Then, the graph of the function g(x) is the same as g(x) = -f(x). Then, we have that:
[tex]g(x)=-f(x)\Rightarrow f(x)=4|x|\Rightarrow-f(x)=-4|x|[/tex]Then
[tex]g(x)=-4|x|[/tex]We can check this graphically as follows (the red graph is the function f(x) = 4|x| and the blue function is g(x) = -4|x|):
Therefore, g(x) = -4|x| is the reflection of the function f(x) = 4|x| over the x-axis.
In summary, the equation that describes g(x) is:
[tex]g(x)=-4|x|[/tex](First option).
Describe the transformation of f(x) = x2 to g(x) = x² + 4Reflection VertexPicture of Graph (from Desmos)Translations Verticalstretch orcompressionFactor:Verticalunits:HorizontalYesNo(x,y)units:
Vertical Translation of 4 units
1) Considering the function f(x)=x² as the parent function, and g(x)=x²+4
We have a Vertical Translation up 4 units when we compare both parabolas.
2) As we can see below:
1. A number that can be written using exponents is called a(n)
Answer:
Your answer is powers.
I need help with my homework please it’s 3 parts to this question I will post the rest into the answer tab
Since there are a adults and c children
Since there are 187 tickets sold
Then the number of adults and children is 187
Add a and c, then equate the sum by 187
[tex]a+c=187\rightarrow(1)[/tex]Since the price of each adult's ticket is $25
Since the price of each child ticket is $13
Since the total revenue is $3223
Then multiply a by 25, c by 13, then add the products and equate the sum by $3223
[tex]25a+13c=3223\rightarrow(2)[/tex]Now, we have a system of equations to solve it
Multiply equation (1) by -13 to make c equal in values and opposite in signs to eliminate it
[tex]\begin{gathered} -13(a)+-13(c)=-13(187) \\ -13a-13c=-2431\rightarrow(3) \end{gathered}[/tex]Add equations (2) and (3)
[tex]\begin{gathered} (25a-13a)+(13c-13c)=(3223-2431) \\ 12a=792 \end{gathered}[/tex]Divide both sides by 12
[tex]\begin{gathered} \frac{12a}{12}=\frac{792}{12} \\ a=66 \end{gathered}[/tex]Substitute a by 66 in equation (1) to find c
[tex]66+c=187[/tex]Subtract 66 from both sides
[tex]\begin{gathered} 66-66+c=187-66 \\ c=121 \end{gathered}[/tex]The answers are:
a) The system of equations is
[tex]\begin{gathered} a+c=187 \\ 25a+13c=3223 \end{gathered}[/tex]b) There were 66 adult tickets sold
c) There were 121 children's tickets sold
A Yoga Fun class charges a $25 starting fee plus $10 per class. What is the cost of 5 classes?$75$25C $260D) $240
we have the following:
[tex]c=25+10\cdot h[/tex]h, number of hours
h = 5
therefore:
[tex]\begin{gathered} c=25\cdot10\cdot5=25+70 \\ c=75 \end{gathered}[/tex]The answer is $75, the first option
whats the answer to the ixl 8th grade multiplying monomials question Simplify. Express your answer using positive exponents. 8d times 8d
The correct result regarding the multiplication of the monomials 8d and 8d is given as follows:
64d².
How to multiply monomials?Monomials are composed both by numeric coefficients and by algebraic variables, hence, to multiply them:
The numeric coefficients are multiplied.The algebraic variables are also multiplied, applying properties of exponents.In the context of this problem, the monomials that are multiplied are given as follows:
8d x 8d.
Hence the multiplication is obtained as follows:
The multiplication of the numeric coefficients is of 8 x 8 = 64.The multiplication of the algebraic variables is of d x d = d².For the variables, we applied the multiplication of two terms with the same base and different exponents, keeping the bases and adding the exponents.
Then the product is given as follows:
8d x 8d = 64d².
More can be learned about the multiplication of monomials at https://brainly.com/question/11938945
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Simplify negative 2 and three fifths minus 5 and one half.
Answer:-8 1/10
Step-by-step explanation:
-2 3/5 - 5 1/2
-13/5 -11/2
-81/10
-8 1/10
The simplified expression of the statement is -81/10
How to simplify the expression?From the question, we have the following statement that can be used in our computation:
negative 2 and three fifths minus 5 and one half.
Express as numbers
So, we have
-2 3/5 - 5 1/2
Convert the fractions to improper fractions
So, we have
-13/5 - 11/2
Take the LCM of the above fractions
(-13 * 2 - 11 * 5)/10
Evaluate the difference
So, we have
-81/10
Hence, the value of the expression is -81/10
Read more about fractions at
https://brainly.com/question/2929160
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New-Home Prices If the average price of a new one-family home is $246300 with a standard deviation of $ 15000, find the minimum and maximum prices of the houses that a contractor will build to satisfy the middle 70% of the market. Assume that the variable is normally distributed. Use a graphing calculator and round the answers to the nearest dollar.Minimum price: $=Maximum price: $=
Answer:
Minimum Price: $230,700
Maximum Price: $261,900
Explanation:
To find the minimum and maximum prices, we need to find the z-score of the middle 70%
70% = 0.7
1 - 0.7 = 0.3
0.3/2 = 0.15
Then the inverse normal of 0.15 is -1.04
[tex]z=\pm1.04[/tex]Therefore,
[tex]\frac{x-246300}{15000}=\pm1.04[/tex][tex]\begin{gathered} x-246300=\pm15600 \\ x=246300\pm15600 \end{gathered}[/tex][tex]\begin{gathered} x=246300+15600 \\ =261900 \\ \text{MAXIMUM} \end{gathered}[/tex]and
[tex]\begin{gathered} x=246300-15600 \\ =230700 \\ \text{MINIMUM} \end{gathered}[/tex]bal.com Look at this graph. 10 8 6 4 Su N -B -6 0 N 10 -2 7. -6 -10 What is the equation of the line in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.
First, locate the coordinates of two points
(8, -2) and (2, -8)
Find the slope
x₁=8 y₁=-2 x₂=2 y₂=-8
Using the slope formula,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex][tex]m=\frac{-8+2}{2-8}[/tex][tex]=\frac{-6}{-6}[/tex][tex]=1[/tex]slope (m) = 1
Find the intercept
substitute x = 8 y=-2 and m = 1 in y=mx+ b and then solve for intercept b
-2 = 1(8) + b
-2 -8 = b
b = -10
Substitute the value of m and b into y=mx+b to form the equation
y = 1x - 10
Hence the equation is;
y = x - 10
20 points can you just do both or 1 of them
Answer
C.
[tex]\frac{9}{49}units^2[/tex]D.
[tex]\frac{121}{64}inches^2[/tex]Explanation
The area of a square is found by multiplying side by side, which corresponds to squaring because all sides of the square are equal, so:
[tex]\frac{3}{7}\cdot\frac{3}{7}=\frac{9}{49}[/tex]And
[tex]\frac{11}{8}\cdot\frac{11}{8}=\frac{121}{64}[/tex]Find a quadratic function that includes the set of values below.
(0,4), (2,8), (3,1)
Answer:
y = -3x² +8x +4
Step-by-step explanation:
You want a quadratic function that includes the points (0,4), (2,8), (3,1).
Quadratic regressionThe coefficients are easily found using the quadratic regression function of a graphing calculator. The one in the attachment tells us the quadratic is ...
y = -3x² +8x +4
EquationsIf you'd rather do this "by hand", you can presume a form for the function, then solve the resulting equations for the necessary coefficients.
We want the coefficients a, b, c for the equation ...
y = ax² +bx +c
point (0, 4): 4 = a(0²) +b(0) +c ⇒ c = 4
point (2, 8): 8 = a(2²) +b(2) +4 ⇒ 2a +b = 2 . . . subtract 4, divide by 2
point (3, 1): 1 = a(3²) +b(3) +4 ⇒ 3a +b = -1 . . . subtract 4, divide by 3
SolutionSubtracting the second equation from the third, we have ...
(3a +b) -(2a +b) = (-1) -(2)
a = -3 . . . . . . . simplify
Substituting for 'a' in the second equation gives ...
2(-3) +b = 2
b = 8 . . . . . . . . add 6
Now we have a=-3, b=8, c=4 and the quadratic is ...
y = -3x² +8x +4
It’s the Special right triangle theorem 30-60-90. I need help solving this problem
JL=2x
KL=x
KJ=x√3
but x=1
so
JL=2
KL=1
KJ=1√3=√3
11. The scale of a dollhouse is l in: 2 ft. Which of the following would most likely be the measurement of the heightof the dollhouse's front doorA 21in2No - - -B. 3-Ft2O c. 14 inO D. 14H12. A flagpole casts a shadow 5 ft. long. At the same time, a 3 ft. yardstick casts a shadow 1.5 ft. long. How tall isthe flagpole?O A. 5 ft.B. 10 ft.O C. 20 ft.O D. 15 ft
We want to find the height of the dollhouse's front door.
Since the dollhouse's measures is given in inches, we have just two possible right choices:
because the answer should be given in inches.
If the correct option were the third one, 14 in,
then the real door measure would be twice in feet: 28 feet.
If the correct option were the first one, 3 1/2 in,
then the real door measure would be twice in feet: 7 in.
28 feet is a really big door. It is more likely for a house to have a 7 in door.
Answer: A. 3 1/2 in12. 27 and 28 form a linear pair. 13. 22 and 24 are vertical angles. 14. m29= m26 + m28
Linear pair angles are adjacent angles that add up to 180 ° ( form a straight line)
So, by looking at the image:
12. <7 and <8 NO
Because they are not adjacent angles.
13. <2 and <4 are vertical angles . YES
Vertical angles are opposite angles
14. m<9 = m<6+m<8 YES
m<6+m<8+m<9 form a straight line, and the bisctor line makes m<9 = m<6+m<8
Solve the equation below for d. 0.2(d – 6) = 5 + 0.4d - 3 .
We have the following:
[tex]0.2\mleft(d-6\mright)=5+0.4d-3[/tex]solving for d
[tex]\begin{gathered} 0.2\cdot d-0.2\cdot6=2+0.4d \\ 0.2d-0.4d-1.2=2 \\ -0.2d=2+1.2 \\ d=\frac{3.2}{0.2} \\ d=-16 \end{gathered}[/tex]Therefore the solution of the equation is -16