Answer:
Equation of axis of symmetry is x = 2
Step-by-step explanation:
The equation of the parabola is given as;
y = -2x² + 8x - 7
The equation of the axis of symmetry is given by;
x = -b/2a
In the parabola equation given and using letters of quadratic equation, we can say that;
a = - 2
b = 8.
c = -7
Thus;
x = -b/2a = -8/(2 × - 2)
x = 8/4
x = 2
Equation of axis of symmetry is x = 2
Identify the sequence of transformations that maps ABCD to JKLM.
A) reflection across x-axis, and then translation (x − 2, y + 10)
B) reflection across y-axis, and then translation (x − 2, y + 10)
C) reflection across x-axis, and then translation (x + 2, y − 10)
D) reflection across y-axis, and then translation (x + 2, y − 10)
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, no diagram is attached, but I would show how to solve it.
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
If a point A(x, y) is reflected across the x axis, the new point is at A'(x, -y).
If a point A(x, y) is reflected across the y axis, the new point is at A'(-x, y).
If a point A(x, y) is translated a units up and b units right, the new point is at A'(x + a, y + b).
If a point A(x, y) is translated a units down and b units left, the new point is at A'(x - a, y - b).
Find the volume of a cylinder below . The formula for the volume of a cylinder is . The radius of the circle is represented by r and h stands for the height of the cylinder. use 3.14 for pu and round your answers to the nearest tenth
Answer:
The volume of the cylinder V = 942 cm³
Step-by-step explanation:
Step(i):-
Given that the graph
The height of the cylinder (h) = 12cm
The diameter of the cylinder d = 10cm
The radius of the cylinder
d = 2r
r = [tex]\frac{10}{2}[/tex]
r = 5 cm
Step(ii):-
The Volume of the cylinder
V = π r² h
V = π (5)²(12)
V = 300π cubic centimeter
V = 300 × 3.14
V = 942 cm³
Final answer:-
Volume of the cylinder V = 942 cm³
(4^2)^4 simplify the expression in the form 4^n please
Answer:
It would be [tex]4^{8}[/tex]
Step-by-step explanation:
[tex](4^{2})^{4}[/tex] is equivalent to [tex]4^{2*4}[/tex] or [tex]4^{8}[/tex].
Amy buys 8 sandwiches and 12 waters.her total cost is 8s+12 how much did she pay
Uma colônia de bactérias duplica de tamanho a cada dois dias. Começando com apenas um representante, quantos membros terá a colônia depois de um mês?
Answer:
Espero que isto ajude!
Step-by-step explanation:
q duplica logo a razão q =2
1 hora = 60 minutos
4 hs * 60 min = 240 minutos ou 240 : 6 = 40 vezes 6 minutos
Nota > 240 minutos tem 40 * 6 minutos
n = 40
a1 = 6 min = 3
a2 = 12 min = 3 * 2 = 6
q3 = 18 min = 6 *2 =12
an = a1 * q^n-1
a40 = 3 * 2^40-1
a40 = 3 * 2^39
a40 = 3 * 5497559 =16492677 >>>>>
a bus travels for 24 minutes at 54m/s
Answer:
distance: 77760 meters
Step-by-step explanation:
24 min = 24*60 sec = 1440 sec
54m/s * 1440 s = 77760 m
Answer:
the bus went 77760 m/s in 24 minutes
Step-by-step explanation:
convert 24 minutes to seconds
24 min= 1440 seconds
54x1440= 77760
(i hope this is what you're asking)
don’t understand........
Answer:
120 cubic inches.
Step-by-step explanation:
The formula for volume is length times width times height. So if you take the length (10), and you take the width (3), and then you multiply them together you get 30. Now all you have to do it multiply that to the height (4) so you get 120. So your answer should be 120 cubic inches.
10 × 3 = 30
30 × 4 = 120
I hope this helps you and you understand now. Have a nice day! :D
What is a equivalent expression to this expression?c(4a+b)
Answer:
The answer is 4ac+bc u have to multiply
What are the answers
2x = 10; x=?
-3x = 21;x=?
1/3x=6; x=?
-1/2x = -7;x?
Answer:
1) 5 2)7 3)18 4) 14
Step-by-step explanation:
1440 tons of grain where brought to a silo over two days. On the second day 80 percent of the amount of the amount of the grain delivered during the first day where brought in. How many tons where delivered on the first day
Answer:
1152 tons of grains
Step-by-step explanation:
We are told in the above question:
Total number of grains = 1440 tons of grain
On the second day 80 percent of the amount of the amount of the grain delivered during the first day where brought in.
Hence,
The number of grains brought in during the first day = 80% × 1440 tons
= 80/100 × 1440 tons
= 1152 tons of grains
How tall is a stack of 10 chairs?
5 chairs are 51 inches
3 chairs are 45 inches
8 chairs are 60 inches
Answer:
10 chairs are 102 inches
Step-by-step explanation:
Beacause 5 chairs are 51 so the double of chairs will be 102 inches
There are a total of 64 students in the anime club and student council. Student council has 10 more students than anime club how many are in each
Answer:
27 in the anime club and 37 in student council
Step-by-step explanation:
there are 64 students
if you divide 64/2 there are 32 in both
32+32=64
then if you give 5 from one to the other
27+37=64
Answer:
student councel has 37 anime club has 27
Step-by-step explanation:
A set of pens sells for $5.25 and costs $1.80 to make. Forty percent of the profit (the difference between the purchase price and the amount it costs to make) from each set of pencils goes to a school. If 1200 sets are sold, what is the amount of money that will go to the school?
The amount of money that will go to the school is $ 3816.00
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The sale price of set of pens = $ 5.25
The cost price of set of pens = $ 1.80
The profit of pens = sale price of set of pens - cost price of set of pens
= $ 5.25 - $ 1.80
= $ 3.45
Now , the equation will be
Forty percentage of profit = ( 40 / 100 ) x $ 3.45
= $ 1.38
The amount that will go to the school =
Forty percentage of profit + cost price of set of pens
The amount that will go to the school for 1 set of pen = $ 1.38 + $ 1.80
= $ 3.18
The equation will be ,
Now , the total number of sets of pens sold = 1200
And , the total cost price of 1200 sets of pens =
cost price of set of pens x 1200
The total cost price of 1200 sets of pens = $ 1.80 x 1200
= $ 2160
The total profit of 1200 sets of pens = Forty percentage of profit x 1200
= $ 1.38 x 1200
= $ 1656
Therefore , the amount that will go to the school for 1200 sets of pens =
total cost price of 1200 sets of pens + total profit of 1200 sets of pens
The amount that will go to the school for 1200 sets of pens
= $ 2160 + $ 1656
The amount that will go to the school for 1200 sets of pens = $ 3816
Therefore ,
The amount that will go to the school = $ 3816.00
Hence , The amount of money that will go to the school is $ 3816.00
To learn more about equations click :
https://brainly.com/question/10413253
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11. Justin needs to rent a car to go on vacation. EnvoCar charges $65 and $0.10 per mile. FreedomRide charges $80 and $0.05 per mile.
_________________________
a. How much more does Freedom Ride charge for driving m miles than EnvoCar?
_________________________
b. If Justin’s round-trip distance is 250 miles, which car rental company should he rent from? Explain.
[tex]envo \: car = 65 + 0.10(m)[/tex]
[tex]freedom \: ride = 80 + 0.05(m)[/tex]
//
I honestly don't know how to do a)
//
[tex]envo \: car = 65 + 0.10(250) = 90.00[/tex]
[tex]freedom \: ride = 80 + 0.05(250) = 92.50[/tex]
He should rent from Envo Car because it would be cheaper.
factor 11k^4 − 88k^3 + 77k^2
Answer:
11k^2 (k - 7)(k - 1)
Step-by-step explanation:
The highest common factor is
11k^2
Using the distributive property we get at least 2 factors.
11k^2 ( k^2 - 8k + 7)
The second factor reduces yet again.
11k^2 (k - 7)(k - 1)
Answer:
11k^2(k−7)(k−1)
Step-by-step explanation:
11k^4 − 88k^3 + 77k^2
Factor out 11.
11(k^4-8k^3+7k^2)
Consider k^4-8k^3+7k^2. Factor out k^2.
k^2(k^2−8k+7)
Consider k^2 −8k+7. Factor the expression by grouping. First, the expression needs to be rewritten as k^2+ak+bk+7. To find a and b, set up a system to be solved.
a+b=−8
ab=1×7=7
Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. The only such pair is the system solution.
a=−7
b=−1
Rewrite k^2−8k+7 as (k^2−7k)+(−k+7).
(k^2−7k)+(−k+7)
Factor out k in the first and −1 in the second group.
k(k−7)−(k−7)
Factor out common term k−7 by using distributive property.
(k−7)(k−1)
Rewrite the complete factored expression.
11k^2(k−7)(k−1)
geometry multiple choice question HELPPP!!!??
Answer:
24/30
Step-by-step explanation:
How many solutions does -7+5x=5x+9
Answer:
There are no solutions. This question is impossible.
Step-by-step explanation:
help i have this question and i’m not sure what the answer would be
Answer:
2 10 or 100 2
Step-by-step explanation:
Answer:
The second one
Step-by-step explanation:
five yellow m&m for every 3 green. How many green m&m if there are 95 yellow ?
PLEASE HELP
Four square tiles, each of side 12 cm are used to make a bigger tile. Find the perimeter of the larger tile.
Answer:
192 cm
Step-by-step explanation:
Given that:
Side length of small tiles = 12cm
Number of small tilea used to make a bigger tile = 4
The perimeter of larger tile:
Perimeter of a square = 4s
Where, s = side length
Side length of larger tile :
4 * side length of smaller tile
4 * 12
= 48 cm
Hence,
Perimeter of a larger square tile = 4s
4 * 48cm
= 192 cm
Someone please hurry, I have no idea what I am doing
Answer
61.80°
Step-by-step explanation:
use SOHCAHTOA to solve
by using SOH
sin? = 51/55
? = 1÷sin(51/55)
? = 61.80°
Write 6 ,7,8,9 or 10 and 12
Answer:
9
Step-by-step explanation:
(Easy) PLEASE HELP! I REALLY NEED TO GET THESE QUESTIONS RIGHT!
1. For the given equation, find the value of M when x=5. x + 3M = 14
2. What is the standard form for an exponential equation? Explain how you know if an exponential equation show’s growth or decay
49x^2 -_x + 16
Can someone help with the missing number
Step-by-step explanation:
I'm guessing this is competing the perfect square
so it's 56
Answer:
Step-by-step explanation:
4x² + 28x + 49
4x² + 14x + 14x + 49
2x(2x) + 2x(7) + 7(2x) + 7(7)
2x(2x + 7) + 7(2x + 7)
(2x + 7)(2x + 7)
(2x + 7)²
= 28
The graph of f(x)=x is given which graph represents g(x)=1/3x
Answer:
Where are the graphs
Step-by-step explanation:
Gilligan sees a ship coming close to the shore hes standing on.
i think part a is: yes because both triangles are right angles. it would be postulate SAS
not sure for part b
Hi! PLS HELP ITS 30 POINTS!! Thanks!
A soda bottle holds 1.5 liters of soda. How many milliliters does the bottle hold?
15 millimeters
150 millimeters
1,500 millimeters
15,000 millimeters
Pls help!
Imma report u if its something off the topic!
Thanks again!
(its not b i tried it and got it wrong!! )
Answer:
1,500 millimeters
Step-by-step explanation:
1 litre = 1000 millilitre.
Try 1,500.
HELPPPPPP PLEASEEEEE BRAINLIEST IF CORRECT!!!
Answer:
1<7
Step-by-step explanation:
Hey there!
1.) adjacent
2.) vertical
3.) corresponding
4.) none of these
5.) 1 and 7, 3 and 5, 2 and 8, 4 and 6
6.) 2 and 7, 6 and 3
Have a terrifcly amazing day!
. Evaluate x2+ 2y÷ 2w+ 3zfor w= -2, x= -5, y= 8, and z= -3
The area of a rectangle is 735 in squared. The ratio of the length to the width is 5 : 3. Find the length and the width.
Answer: Length = 35
Width = 21
Step-by-step explanation:
From the question, we are informed that the area of a rectangle is 735 in squared and that the ratio of the length to the width is 5 : 3.
To find the length and the width of the rectangle goes thus. We should note that the area of a rectangle is the length multiplied by the width.
Therefore, 5x × 3x = 735
15x² = 735
x² = 735/15
x² = 49
x = ✓49
x = 7
Recall that length = 5x = 5 × 7 = 35
Width = 3x = 3 × 7 = 21