Answer:
y = 5x – 2
The correct answer is C
The graph of h is a translation 4 units right and 1 unit down of the graph of
f(x) = 3(x - 5)^2 - 1. Write an equation for h(x) in vertex form and explain how you reached your answer.
Answer:
h(x) = 3(x - 9)² - 2
Step-by-step explanation:
Rules for translation of a function are as follows:
f(x) + a = vertical translation of f(x) upwards by a units
f(x) - a = vertical translation of f(x) downwards by a units
f(x + a) = horizontal translation of f(x) leftwards by a units
f(x - a) = horizontal translation of f(x) rightwards by a units
So, using the above the rules:
h(x) = f(x - 4) - 1
h(x) = (3((x - 4) - 5)² - 1) - 1
h(x) = 3(x - 9)² - 2
An acute angle’s measure is:
Answer:
>90°
degrees from below 90 degrees
Can someone please take a screenshot of this problem and send it. I could really use the help.
Answer:
5/12
Step-by-step explanation:
2/3 - 1/4
Get a common denominator of 12
2/3 *4/4 = 8/12
1/4 *3/3 = 3/12
8/12 - 3/12
5/12
Answer:
5 twelfth
Step-by-step explanation:
jajajajsjdjhueieiejdndnndnejejsnsndbbbenejeje
make the letter in the bracket the subject of the A=
[tex]v = u + at \: (a)[/tex]
Answer:
a=acceleration due to gravity=9.8m/s²
v=final velocity
u=initial velocity
t=time taken
Find the length of the arc. Use 3.14 for T.
PLEASE HURRY
Answer:
Solution given;
angle =270°
radius [r]=8cm
we have
length of arc =270°/360°×2×π*r
=270°/360°×2×3.14*8=37.68cm
length of the arc is 37.68cm.
[Will award brainliest if correct!] It takes a painter and his friend 8 hours to paint a room. if the painter was working alone, it would take him 12 hours less than if his friend was working alone. How long does it take the painter to paint the room by himself?
Answer:
it would take him 10 hours
There are 10 girls and 6 bios in class the teacher randomly draws one student’s name and then draws another
Answer:
Step-by-step explanation:
if there are 10 girls and 6 boys total we have 16 students. Divide 10 by 16 which give 62% a girl will be picked and for boys divide 6 by 16 which is 38% a boy will be picked.
What are the coordinates of point E ?
(2, 0)
(0, 2)
(2, 2)
(0, 0)
Check image to understand
Answer:
(0,2)
Answer B..............
Answer:
(0,2)
Step-by-step explanation:
there is nothing for the x-axis only y-axis which is on the right so it moves up by 2
A teacher is making a history test composed of the same number of multiple-choice questions as short-answer questions. She estimates it will take students an average of 2 minutes to complete each multiple-choice question and an average of 3.5 minutes to complete each short-answer question.
Write an inequality to determine how many questions, n, the teacher can include if the test must take students less than 45 minutes to complete.
Answer:
8 questions each for short answer questions and 8 questions of Multiple Choice Questions type.
A total of 16 questions.
Step-by-step explanation:
The number of multiple-choice questions and the number of short answer type questions are the same.
Let it be equal to [tex]x[/tex]
→Average time it takes to attempt multiple choice question = 2 minutes
→Total time it takes to attempt multiple choice question = [tex]2 * x[/tex] minutes
→Average time it takes to attempt short answer type question = 3.5 minutes
→Total Time it takes to attempt short answer type question = [tex]3.5 * x[/tex] minutes
Total time for the test should be less than 45 minutes.
Now finally, we can make an equation out of the information listed above:
[tex]2x +3.5x <45[/tex]
[tex]\\ 5.5x <45[/tex]
[tex]x < 8.18[/tex]
Hence the value of [tex]x = 8[/tex]
Mr.Brown has a gate that measures 65 ft by 72 ft. He needs to reinforce the gate by placing a strip of wood on the diagonal of the fence. How long will the strip of wood need to be?
Answer: 97ft
Step-by-step explanation:
Pythagore
Strip^2 = 65^2 + 72^2 = 9409
Strip = squareroot 9409 = 97 ft
How many quarts are in 583.7 liters? Round to the nearest tenth.
Answer:
616.8
Step-by-step explanation:
look it up
Answer:
616.8 quarts
Step-by-step explanation:
Molly is birdwatching at the coast. She has seen 2 egrets and 4 other birds. Considering this data, how many of the next 39 birds Molly sees would you expect to be egrets?
Answer:
13 egrets
Step-by-step explanation:
According to the Question,
Given That, Molly is birdwatching at the coast. She has seen 2 egrets and 4 other birds. Considering this data.
Therefore, The next 39 birds Molly sees would you expect to be egrets is
⇒ (39/6)×2 = 13 egrets.
La edad de Ericka es el tripl de la edad de Liliana y hace 9 años la suma de sus edades era 22. ¿Cuantos años tiene actualmente Liliana?
Answer:
Liliana tiene 10 años.
Step-by-step explanation:
Definamos las variables:
E = edad de Ericka
L = edad de Liliana.
Primero sabemos que la edad de Ericka es el triple de la edad de Liliana, entonces:
E = 3*L
Tambien sabemos que hace 9 años la suma de sus edades era 22
Hace nueve años la edad de Ericka era E - 9
Y hace nueve años la edad de Liliana era L - 9
Entonces tenemos:
(E - 9) + (L - 9) = 22
Así, tenemos un sistema de dos ecuaciones:
E = 3*L
(E - 9) + (L - 9) = 22
Queremos conocer la edad actual de Liliana.
Para ello tenemos que despejar E en una de las ecuaciones.
Podemos ver que en la primer ecaución E ya está aislada, entonces nos saltamos ese paso.
Ahora, reemplazamos E en la otra ecuación:
(E - 9) + (L - 9) = 22
(3*L - 9) + (L - 9) = 22
Ahora podemos resolver esto para L
3*L - 9 + L - 9 = 22
4*L - 18 = 22
4*L = 22 + 18
4*L = 40
L = 40/4 = 10
L = 10
Liliana tiene 10 años.
Guys help my little sister with these questions:)))
Answer:
Card A: the eiffel tower is 20,313 taller than the pyramid of khafria
Card B: Josh site had 615 more than diego
Card C: 15,405 more to reach there goal
Step-by-step explanation:
Tell your sister i said your welcome
Answer:
Card A:
The Eiffel tower is 615 feet taller than the pyramid of Khafra.
1,063 - 448 = 615
Card B:
Josh site has 20,131 more visitors than Diego.
805,289 - 784,976 = 20,313
Card C:
The school needs to raise $15,405 during the spring fundraiser to reach it's goal.
$13.809 + $20.786 = $34,595
$50,000 - $34,595 = $15,405
Step-by-step explanation:
Have a nice day! :-)
Determine the vertex and axis of symmetry for f (x) = 2(x+4) to the power of 2 + 1
Answer:
The vertex of the graph is at (-4,1) and thus leading the axis of symmetry be at x=-4.
Step-by-step explanation:
what is x+x equal to
what do you mean? theres no math. we cant answer this.
x+x is equal to 0
Answer:
2x
Step-by-step explanation:
x + x = 2x
Tom and Linda stand at point A. Linda begins to walk in a straight line away from Tom at a constant rate of 2 miles per hour. One hour later, Tom begins to jog in a straight line in the exact opposite direction at a constant rate of 6 miles per hour. If both Tom and Linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes Tom to cover the exact distance that Linda has covered and the amount of time it takes Tom to cover twice the distance that Linda has covered?
Answer:
Then 1/2 or 30 minutes is the required time for Tom to cover the exact distance that Linda one hour before.
Two hours after Tom began Tom would cover 12 miles and three hours after Linda started Linda would be 6 miles far away from the starting point
Step-by-step explanation:
Linda walks in a straight line at 2 miles/hour
then after t ( hours time) she is 2 (m/h) * t = d (L)
for Tom running at 6 m/h starting one hour later to cover the same distance d(L)
d(L) = 6 m/h * ( t - 1 ) then:
2 (m/h) * t = 6 m/h * ( t - 1 )
2*t = 6*t - 6
4*t = 6
t = 6/4
t = 1,5 h
Checking that result.
we see that in 1,5 hours Linda has covered 2* 1,5 = 3 miles
and in 0.5 hours Tom covered the same distance 0,5 * 6 = 3 miles
NOTE: Remember that tom started one hour later.
Then 1/2 or 30 minutes is the required time for Tom to cover the exact distance that Linda one hour before.
b) In this case
d(T) = 6* ( t - 1 ) must be equal to twice of the Linda distance
d(L) = 2 * 2 * t
6*t - 6 = 4*t
2*t = 6
t = 3
To check it
in 3 hours Linda had covered 3 * 2 = 6 miles
in 2 hours Tom had covered 2 * 6 = 12 miles
Determine the intercepts of the line. − 5 x + 9 y = − 18
Answer:
x int (18/5,0)
y int (0.-2)
Step-by-step explanation:
by substitution
Answer:
x-intercept: (3.6, 0)
y-intercept: (0, -2)
Step-by-step explanation:
The x and y intercepts of a line can be found by substituting y= 0 and x= 0 into the equation of the line respectively. The y-intercept is the point at which the line cuts through the y-axis, while the x-intercept is the point at which the line cuts through the x-axis.
-5x +9y= -18
When x= 0,
-5(0) +9y= -18
9y= -18
Dividing both sides by 9:
y= -18 ÷9
y= -2
Thus, the y-intercept occurs at (0, -2).
When y= 0,
-5x +9(0)= -18
-5x= -18
Divide both sides by -5:
x= -18 ÷(-5)
x= 3.6
Thus, the x-intercept occurs at (3.6, 0).
To learn more about intercepts, check out: https://brainly.com/question/14180189
A.)23
B.)30
C.)53
D.)60
Answer:
m∠ABC = 150°
Step-by-step explanation:
180° - 90° = 90°
[tex](2x+14)+(x+7)=90[/tex]
[tex](2(23)+14)+(23+7)=90[/tex]
[tex]((46)+14)+(30)=90[/tex]
[tex](60)+(30)=90[/tex]
[tex]x=23[/tex]
90° + 60° = 150°
PLS HELP QUICKKK its almost due
I think its the second one. I hope it is
A plane is at a height of 300m and is 500m away from the airport . How much distance will it travel to land at the airport?
Answer:
800m brainlest mark me
Step-by-step explanation:
that's all I hope it's help
FASTTTT HELPPP will mark brainly
“A cube has edges all of 6cm. A cuboid with the same volume has a side of 4cm and a side of 6cm. As one side is 2cm shorter than one of the sides of the cube, to keep the volume the same the other side must be made 2cm longer. so how many cubic centimeters is it?
Answer:
216 cubic centimeters
Step-by-step explanation:
The details of the word problem are as follows;
The length of the edges of a cube, s = 6 cm
The volume of the cuboid = The volume of the cube
The length of a side of the cuboid = 4 cm
The length of the other side of the cuboid - 6 cm
The volume of the cube, V = 6 cm × 6 cm × 6 cm = 216 cm³
The volume of the cuboid, [tex]V_c[/tex] = 4 cm × 6 cm × T
Where 'T' represent the length of the third side
Therefore, 'T' = 216 cm³/(4 cm × 6 cm) = 9 cm
The length of the third side, T = 9 cm
The volume of the cuboid = The volume of the cube = 216 cm³
Calvin and Susie are running for class president of the first 80% of the balance that are accounted Susie receives 53% of the votes in Calvin really receives 47% at least what percentage of the remaining votes does California Ziv to catch up to Susie in the election
In order to overtake Susie in the election, Calvin must obtain at least 59% of the votes still cast.
Let's assume that there are a total of 100 votes in the election. If Susie receives 53% of the first 80 votes, she gets:
0.53 x 80
= 42.4 votes
And if Calvin receives 47% of the first 80 votes, he gets:
0.47 x 80
= 37.6 votes
So, Susie is currently ahead by:
42.4 - 37.6
= 4.8 votes
Now, let's assume there are N remaining votes. We want to know what percentage of the remaining votes Calvin needs to win, so we can set up an equation:
0.47 × (80 + N)
= 0.53 × (80 + N) - 4.8
Simplifying this equation, we get:
0.06 x (80 + N)
= 4.8
Dividing both sides by 0.06, we get:
80 + N = 80
N = 80
So, there are 80 remaining votes. To find the percentage of these votes that Calvin needs to win, we can set up another equation:
0.47 x (80 + 80) + x/100 x 80
= 0.53 x (80 + 80)
Simplifying this equation, we get:
37.6 + 0.8x = 84.8
Subtracting 37.6 from both sides, we get:
0.8x = 47.2
Dividing both sides by 0.8, we get:
x = 59
So, Calvin needs to win at least 59% of the remaining votes to catch up to Susie in the election.
To learn more about percentage click here
brainly.com/question/16797504
#SPJ1
Answer:
63%
Step-by-step explanation:
ik
Solve the equation 28 + 24p = 36 for p.
[tex]\huge\text{Hey there!}[/tex]
[tex]\textsf{28 + 24p = 36}[/tex]
[tex]\textsf{24p + 28 = 36}[/tex]
[tex]\large\textsf{SUBTRACT 28 to BOTH SIDES}[/tex]
[tex]\textsf{24p + 28 - 28 = 36 - 28}[/tex]
[tex]\large\textsf{CANCEL out: 28 - 28 because that gives you 0}[/tex]
[tex]\large\textsf{KEEP: 36 - 28 because that helps solve for the p-value}[/tex]
[tex]\textsf{36 - 28 = \bf 8}[/tex]
[tex]\large\textsf{NEW EQUATION: 24p = 8}[/tex]
[tex]\large\textsf{DIVIDE 24 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{24p}{24}=\dfrac{8}{24}}[/tex]
[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{24}{24}}\large\textsf{ because that gives you 1}[/tex]
[tex]\large\textsf{KEEP: }\mathsf{\dfrac{8}{24}}\large\textsf{ because that helps you solve for the p-value any}\\\\\large\textsf{gives you the value of it}[/tex]
[tex]\mathsf{p= \dfrac{8}{24}}\\\\\\\mathsf{p = \dfrac{8\div8}{24\div8}}\\\\\\\mathsf{8\div8=\bf 1}\\\\\mathsf{24\div8=\bf 3}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf p = \dfrac{1}{3}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Answer:
1/3
Step-by-step explanation:
Got a 100 on T4L
A company is designing a new logo that is comprised of four identical sectors of circles that have central angles
that measure 30º. A portion of the logo is shaded. The distance from the center, C, to point A is 8 inches
and the distance from point A to point B is 3 inches.
Determine the area of the logo that is shaded to the nearest tenth of a
square inch. Show the work that leads to your answer.
============================================================
Explanation:
The radius of the larger circle is CB = CA+AB = 8+3 = 11 inches.
The area of the larger circle with this radius is...
A = pi*r^2
A = pi*11^2
A = 121pi
The area of the smaller circle (radius CA = 8 inches) is
A = pi*r^2
A = pi*8^2
A = 64pi
The difference is 121pi-64pi = 57pi
This represents the exact area of the full ring. Refer to figure 1 below. Specifically the red region of that figure.
However, we don't want the full ring. We only want a small fraction of it (as figure 2 shows, which is the original diagram your teacher gave you). Specifically, we want (4*30)/360 = 120/360 = 1/3 of the full ring. The 4*30 refers to the idea we have four copies of the 30 degree angle.
So we'll take 1/3 of the 57pi to get (1/3)*57pi = (57/3)pi = 19pi
-----------------------------------
The value 19pi is the exact area of the entire shaded region.
From here, you can use a calculator to determine that
19pi = 19*3.1415926535898 = 59.6902604182061 which rounds to 59.7
If your teacher insists you use pi = 3.14, then 19*pi = 19*3.14 = 59.66 which also rounds to 59.7
please solve thissssss 5x + 3x = 28
Answer:
x= 3.5
Step-by-step explanation:
5x + 3x = 28
8x = 28
x = 28/8
x = 3.5
Answer:
5x + 3x = 28
8x=28
x=28/8
x=3.5
Your friend has two children. At least one of the children it's a boy. Considering the order that the children were born, what is the probability that the other child is a girl?
Answer:
the order actually doesn't affect the likelyhood of the gender, the answer is 50%
Step-by-step explanation:
PLSS HELP ME ITS WORTH 20 POINTS!!
Answer:
suplementary
Step-by-step explanation:
Tomas learned that the product of the polynomials (a + b)(a2 – ab + b2) was a special pattern that would result in a sum of cubes, a3 + b3. His teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = y.
Which product should Tomas choose?
(2x + y)(2x2 + 2xy – y2)
(2x + y)(4x2 + 2xy – y2)
(2x + y)(4x2 – 2xy + y2)
(2x + y)(2x2 – 2xy + y2)
[tex]c. \: (2x + y)(4 {x}^{2} - 2xy + {y}^{2} )[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex](a + b)( {a}^{2} - ab + {b}^{2} )[/tex]
Substituting the values of "a = 2x" and ''b = y" in the expression, we have
[tex](2x + y)[( 2{x})^{2} - 2xy + {y}^{2} ] \\ = (2x + y)(4 {x}^{2} - 2xy + {y}^{2} )[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
The product that Tomas should choose should be (2x +y)(4x^2 – 2xy + y^2)
Sum of the cube of valuesGiven the sum of cubes expressd as:
a^3 + b^3 = (a + b)(a^2 – ab + b^2)
Given the following parametrs
a = 2x
b = y
Substitute this values into the formula
a^3 + b^3 = (2x + y)((2x)^2 – 2xy + y^2)
a^3 + b^3 = (2x +y)(4x^2 – 2xy + y^2)
Hence the product that Tomas should choose should be (2x +y)(4x^2 – 2xy + y^2)
Learn more on sum of cubes here: https://brainly.com/question/26726803
what is the value of 3/2 + 4/2?
Answer:
7/2 or 3 1/2
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
7/2
Step-by-step explanation:
3/2 + 4/2 = 7/2
Hope this helps!!