Transforming the solid line to the dotted line would change the equation of the functions
The equation of the dotted line is: [tex]f(x) = -\sqrt{x - 6} + 3[/tex]
How to transform the function?The equation of the solid line is given as:
y = √x
The solid line undergoes the following transformation to match the dotted line
Reflection across the x-axisTranslate 6 units rightTranslate 3 units upThe rule of the above sequence of transformations is:
(x,y) -> (x - 6, -y + 3)
Using the above transformation rule, the equation of the dotted line is:
[tex]f(x) = -\sqrt{x - 6} + 3[/tex]
Read more about function transformation at:
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A cylinder has a height of 7 millimeters and a diameter of 6 millimeters. What is its volume?
Step-by-step explanation:
you could not find the formula ?
the volume of a cylinder is ground area × height.
and the ground area is a circle.
so, in total, we have
pi×r²×h
r being the radius (half the diameter), h being the height.
therefore, the volume of the given cylinder is
pi×(6/2)²×7 = pi×3²×7 = pi×63 = 197.9203372... mm³
Pls help me look at the picture for the question pls
Answer:
D
Step-by-step explanation:
[tex]y=-3x-14[/tex] is a function as it has:
The input (x-values)A relationship (multiply the x-value by -3 then subtract 14)The output (y-value)Linear equation in slope-intercept form: [tex]y=mx+b[/tex]
where:
m = slopeb = y-interceptTherefore, for equation [tex]y=-3x-14[/tex]
The slope is -3The y-intercept is -14So as the equation is a linear equation, its graph is a straight line.
Therefore, the only statement that is NOT true is D as the y-intercept is -14 (not 14).
For which value of theta is sine theta = negative 1?
A unit circle is shown. A radius with length 1 forms angle theta in the first quadrant.
StartFraction pi Over 2 EndFraction
Pi
StartFraction 3 pi Over 2 EndFraction
2 pi
or (A.K.A)
For which value of ∅ is sin∅ = -1?
A. /2
B.
C. 3/2
D. 2
Check the picture below.
If the sin θ is equal to the negative one then the value of the θ will be 3π / 2. Then the correct option is C.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
A unit circle is shown.
A radius with length 1 forms angle θ in the first quadrant.
Then the sin θ is equal to the negative one. Then the value of the θ will be
sin θ = -1
Then it can be written as
θ = sin⁻¹ (-1)
θ = 3π / 2
Thus, the correct option is C.
More about the trigonometry link is given below.
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For tanisha's lemonade recipe, 14 lemons are required to make 7 cups of lemonade. at what rate are lemons being used in lemons per cup of lemonade?
A handkerchief is 20 cm long and 18 cm broad. how much the breadth must be decreased to cover a surface of 324cm²
Answer:
1.8 cm
Step-by-step explanation:
Hope it will help...
. Mark drove 180 miles in 3 hours at
a constant speed. Let D equal the
distance traveled and t equal the time
traveled. Which of the following is
the constant of proportionality?
A) 3, as in D=3t
B) 60, as in D=60t
C) 180, as in D=180t
D) 540, as in D=540t
Answer:
d = 60t
Step-by-step explanation:
distance = d
time = t
every hour 60 miles are travelled so its 60t
referring to 60*time eg 60*3 = 180
does anyone know what mathia is?
Answer:
I think its some sort of learning platform. Search it up.
Step-by-step explanation:
PLEASE HELP
the coordinate grid shows the plot of four equations
Which set of equations has 2,2 as its solution
A AND D
B AND D
A AND C
B AND C
Are the expressions 5(3a+2) and 15a+2 equivalent? Justify your answer.
SOLVE equations, SHOW WORK, AND EXPLAIN
Answer:
They are not equivalent.
Step-by-step explanation:
5(3a+2)=15a+10
15a+10≠15a+2
Answer:
not equivalent.
Step-by-step explanation:
5(3a+2). multiply the 5 into the parenthesis, so multiply it by both numbers.
15a+10≠15a+2
if you wanted to go further, since 15a is equivalent, just take it out.
10≠2
the eighth grade at byrnade Junior high school has 464 students. There are 212 more boys than girls. how many boys are there?
Answer: 338 boys
1) Formulate an equation
The total students at Byrnade Junior High School is 464. Let girls equal x. If girls equal x and there are 212 more boys than girls, then boys should equal 212 + x. (212 + x) and x equal 464. Therefore, our equation would be (212 + x) + x = 464.
2) Isolate the variable
Simplify the equation to 212 + 2x = 464. Subtrac 212 on both sides to get 2x = 252. Divide 2 on both sides to get x = 126.
3) Plug the variable
Because x = 126, we can plug 126 into (212 + x) + x = 464 to get (212 + 126) + 126 = 464. We need to primarily focus on (212 + 126), because the question is asking for how many boys are there. 212 + 126 = 338. So, your answer should be 338 boys.
what is the range of the data set 95,86,78,80,91
Answer:
17
Step-by-step explanation:
Range = Highest Value - Smallest Value
95 - 78 = 17
Answer:
17
Step-by-step explanation:
Subtract the minimum data value from the maximum data value to find the data range.
95 - 78 = 17
X
у
2
9
5
10
7
09
5
12.
3
16
2
O A. y=-10.671X+0.580
O B. y= 10.671x-0.580
O C. y=0.580x-10.671
O D. y=-0.580x + 10.671
SUBMIT
Need help! i have no idea how to do domain and range!!!://
Step-by-step explanation:
Dude THE Values for graph are given or not
Which quantity is proportional to 40⁄8?
Check all that are true.
10⁄5
120⁄36
20⁄4
5⁄1
120⁄24
Answer:
Step-by-step explanation:
10/5: not part of the answer. This gives 2. The original ratio gives 5.
120 / 36 is not part of the answer. This gives 3 1/3 which is not 5
20/4 true This gives 55/1 true. This gives 5120/24 true. This gives 5The last 3 are the only ones you should choose.
translation: 6 units right and 2 units down
D(-5, 1), E(-5,2), F(-1, 3), G(-1, -1)
Answer:
In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved. To translate the point P(x,y) , a units right and b units up, use P'(x+a,y+b) .
Step-by-step explanation:
Hope this helps!
Answer:
See below.
Step-by-step explanation:
A translation of 6 units right is 6 added to the x-coordinate.
A translation of 2 units down is a 2 subtracted from the y-coordinate.
Are D through G answer choices, or are you supposed to do the above translation to those 4 points?
Valeria's living room is 9 meters wide and 10 meters long. She wants to install green carpet that costs $5.00 per square meter. How much will it cost to buy enough carpet for the living room?
Answer:
$450
Step-by-step explanation:
cost = area × price per square meter
cost = LW × $5/m²
cost = 90 m² × $5/m²
cost = $450
Answer:
$450
Step-by-step explanation:
9x10=90 meters
90x5=$450
1-4
Stan volunteered to work overtime for 6 weeks. He worked an
average
of 47 hours per week. Use the equation h = 6 = 47 to find
the total number of hours Stan worked over the 6 weeks.
Answer:
282 Hours after 6 weeks
Step-by-step explanation:
Multiply the 6 weeks and the 48 hour a week adverage and theres your answer!
A circular table top has a radius of 75 cm. A force of 640 N is applied to the whole table top. Calculate the pressure in N/m2 to 4sf.
The pressure applied on the whole table top = 361.9 N/m² to 4 significant figures.
Calculation of applied pressure on a surfacePressure= force/area
Area of the circular table = πr²
where r = 75cm = 0.75m
Area of the circular table = 3.143 × 0.75 × 0.75
= 1.768m²
Force = 640 N
Pressure = 640/1.768
= 361.99
= 361.9 N/m² to 4 significant figures.
Learn more about pressure here:
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Which statement describes the value of the expression below?
67x1/6
[tex] \frak{ \dfrac{67}{6} }[/tex]
Answer: 33.5
Step-by-step explanation:
Who burned down Constantinople?
O barbarians
O crusaders
o Egyptians
o Turks
Answer:
The Turks burned down Constantinople
There are 5 cups of oatmeal in a container. Stella eats 1/3 cup of oatmeal every day for breakfast. In how many days will Stella finish all the oatmeal in the container?
Answer:
15 days
Step-by-step explanation:
Since there are 5 cups and she eats it 1/3 times a day if you think about it, its like 5 times 3.
What is the value of n when 2/3 of n equals 42?
chose the measurement that is about 12 feet.
the height of a house
the length of a 5 dollar bill
the width of a bed
Answer:
'12 feet'
Step-by-step explanation:
Of these threee measurements, '12 feet' is closest to the height of a house.
PLS HELP ASAP!!
Choose the correct line of best fit for each of the scatter plots below.
PLEASE HELP ASAP WITH HOW U DID IT WILL MARK BRAINLIST!!!
9.
The cost of mailing a letter went up 1133% over the fifty-year period 1938-1988. If it cost
43¢ to mail a letter to a Canadian address in 1988, what (to the nearest penny) did it
cost in 1938?
The cost of mailing a letter in 1938 was 530 cents while it cost 43 cent in 1988
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The cost of mailing a letter went up 1133% over the fifty-year period 1938-1988. If it cost 43¢ to mail a letter to a Canadian address in 1988
Let x represent the cost of mailing the letter in 1938, hence:
x = 43 + 1133% of 43 = 43 + 487.19 = 530 cent
The cost of mailing a letter in 1938 was 530 cents while it cost 43 cent in 1988
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3. Classify the angle pair using all the names that apply.
2
Angles that are directly across from each other and created from intersecting lines are called vertical angles. Vertical angles are congruent.
Hope this helps!
solve the system:
y=5
3x+y=2
solve the system:
y=5
4x-y=7
solve the system:
2x+y=12
3x-y=3
HELP PLEASE
Answer:
3x+5=2
3×=2- 5
3x= -3
x=-1
4x-5=7
4x=7+5
4x=12
4x÷4=12÷4
x=3
2x+5=12
2x=12-5
2x=7
2x÷2=7÷2
x=3.5
3x-5=3
3x=3+5
3x=8
3x÷3=8÷3
x=2.6
please help me answer this question!!!!
Answer:
4³ and 4 · 4 · 4
Step-by-step explanation:
4³ is the same as 4 · 4 · 4 (or 4 three times).
First We Need To Solve All The Expression:-
Expression (1)[tex](4) {}^{3} \\ = 4 \times 4 \times 4 \\ = 64[/tex]
Expression (2)[tex]( {3})^{4} \\ = 3 \times 3 \times 3 \times 3 \\ = 81[/tex]
Expression (3)[tex]\: \:\: \:4 \: ·4 \: ·4 \\ = 64[/tex]
Expression (4)[tex]\: \:\: \:3 \: · \: 4 \\ = 12[/tex]
[tex] \therefore \text{We Can See \underline{Expression (1)} And \underline{Expression (3)} are same}[/tex]
Hope This HelpsHELPPPPPPPPPPPPPPPPPPPPPPPP ASAP
Answer:
The answers are D and then B.
Step-by-step explanation:
The first question asks which team has the youngest members on average. This is easily answered because the "mean" is simply the average of all the ages. Therefore the youngest "mean" age will also have the youngest members on average.
The second question asks what team has the most variability in ages. Range is the difference between the highest and lowest number. Therefore the team with the highest range should, logically, also have the most variability.
Which is the warmest temperature? EXPLAIN HOW YOU DETERMINED THIS USING THE NUMBER LINE
Answer:
When we think of the number line -5 is the coldest temperature on the number line. -5 -4 -3 -2 -1 0 1 2 3 -5 °C is the coldest temperature and 2 °C is the hottest temperature.