The effect on the parabola y = x^2 - 1 when it is changed to y = x^2 + 6 is a translation of 7 units upwards.
What is the effect on the parabola?First let's do an introduction, for any function f(x), we can define a vertical translation of N units as:
g(x) =f(x) + N
Where if N > 0, the translation is upwards, and if N < 0, the translation is downwards.
In this case, we start with the parabola:
y = f(x) = x^2 - 1
Now we know that the transformed function is:
y = g(x) = x^2 + 6
Now, notice that if we apply a translation upwards of 7 units of the original function we will get:
y = f(x) = x^2 - 1 + 7 = x^2 + 6
We got the transformed function.
Then the effect on the parabola is a translation of 7 units upwards.
Learn more about translations by reading:
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Please help!! Will give BRAINLIEST!!!!
Answer:
domain is all real numbers except -6
Step-by-step explanation:
Answer:
domain is all real numbers except -6
Step-by-step explanation:
You spin a spinner labeled 1-10 evenly. what are the chances you will get an odd number?
Answer:
1/2
Step-by-step explanation:
!!!!NEED HELP ASAP!!!! NO LINKS OR REPORT
Answer:
Step-by-step explanation:
Infinitely many solutions means that one side of the equals sign is exactly the same as the other side. We can achieve that easily by multiplying through the parenthesis and then combining like terms.
2(6x + 4) - 5x is 12x + 8 - 5x which simplifies down to 7x + 8. That is what goes on the right side of your equation.
which graph correctly represents
3x + y>72
A graph A
B. graph B
с graphic
D graph D
Answer:
The correct graph should have an x-intercept of 24, a y-intercept of 72, connected by a dashed line, with shading to the right
Step-by-step explanation:
y > -3x + 7
The correct graph should have an x-intercept of 7/3, a y-intercept of 7, connected by a dashed line, with shading to the right
27 miles per gallon 432 miles takes how many gallons
Answer:
16
Step-by-step explanation:
432/27=16
Suppose that whether it rains tomorrow depends on past weather conditions only through the last 2 days. Specifically, suppose that if it has rained yesterday and today, then it will rain tomorrow with probability .8; if it rained yesterday but not today, then it will rain tomorrow with probability .3; if it rained today but not yesterday, then it will rain tomorrow with probability .4; and if it has not rained either yesterday or today, then it will rain tomorrow with probability .2. Over the long term, what proportion of days does it rain
Answer:
The answer is "0.425".
Step-by-step explanation:
The T be a requirement today that such rains.
The Y be a situation yesterday that now it rained.
The O is a condition for tomorrow to rain.
[tex]P(O| (Y\ AND \ T)) = 0.8\\\\P(O|(Y \ AND \ NOT\ (T)) =0.3\\\\P( O|(NOT \ (Y)\ AND\ T)= 0.4\\\\P( O| NOT\ (Y) \ OR \ NOT \ (T)) =0.2[/tex]
There Arena and morrow overview To Aspects Which will rain:
[tex]Y\ AND \ T, Y \ AND \ NOT \ (T),\ NOT\ (Y) \ AND\ T, \ NOT(Y)\ OR \ NOT(T)[/tex]
Each has the option of [tex]\frac{1}{4}[/tex] INDEPENDENTLY happening.
Its possibility of tomorrow's rain is:
[tex]P(O) = P(O | Y\ AND\ T) P(Y\ AND\ T) + P(O|(Y \ AND \ NOT\ (T))[/tex]
[tex]P((Y\ AND \ NOT\ (T)) + P(O|(\ NOT\ (Y) \ AND \ T))P(\ NOT\ (Y) \ AND\ T) \\\\+ P( O| \ NOT\ (Y)\ OR\ NOT\ (T)) P(\ NOT\ (Y)\ OR\ NOT\ (T))\\\\[/tex]
[tex]=0.8\times \frac{1}{4} +0.3\times \frac{1}{4}+0.4\times \frac{1}{4}+0.2\times \frac{1}{4}\\\\ =\frac{1}{4}(0.8+0.3+0.4+0.2)\\\\= \frac{1.7}{4}\\\\= 0.425[/tex]
7} = (4) -55) = 0
12
12
410
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I NEED HELP ASAP
Answer:
-12
Step-by-step explanation:
Cards in a pack are black or red in the ratio
black: red = 2:5
What fraction of the cards are red?
Express 0.74 as a percentage
Answer:
74%
Step-by-step explanation:
0.74 × 100 = 74%
Answer:
74% (answer).
Step-by-step explanation:
To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 0.74 × 100 =74%
For this problem use 3.14 for , and any non-integer answers should be entered as decimals rounded to the hundredths place. Lannon is designing a carnival game for a school event. She has a large wooden square and she needs to cut out a circle from the middle. The circumference of the circle that she plans to cut out is 56.52 inches. What is the radius
Answer:
Step-by-step explanation:
For this problem use 3.14 for , and any non-integer answers should be entered as decimals rounded to the hundredths place. Lannon is designing a carnival game for a school event. She has a large wooden square and she needs to cut out a circle from the middle. The circumference of the circle that she plans to cut out is 56.52 inches. What is the radius
The formula for circumference of a circle = 2πr
Circumference = 56.52 inches
r = Circumference/2π
r = 56.52/2π
WILL GIVE BRAINLIST Please help
Sample Answer:
Both prisms are equal in volume, with it being 30 in^3. Although the triangle prism has a length of twice as much, this is countered by the formula for a triangular prism which requires for it to be divided by 2, where this is not present within the formula for a rectangular prism.
Step-by-step explanation:
For this, just pretend that h=1 to make the math easier. So the rectangular prism has a cross section that is 6 by 5 inches, so that will be its L & W.
The triangular prism has a cross section that is a 12 inch base times a 5 inch interior height, this will give the triangle's length and height respectively In this case, h will be its width, making the Base of the triangle which is Length * Width. Think of it like flipping over this prism, making the side facing you and make it the bottom of the prism.
Now, with the formulas for volume of the prisms:
Rectangular: L * W * H
Triangle: (L*W * H) / 2
Then just plug in the numbers:
Rectangular Prism:
L * H * H
6 * 5 * 1
30 * 1
30
Triangle Prism:
(12 * 5 * 1) / 2
60 / 2
30
They are equal to each other.
could somebody help me with
Answer:
t + 0.8 =1.5
Step-by-step explanation:
Our objective is to get to 1.5. we know that part of the distance is 0.8 but we don't know the other half (t).
62X + 310 =
2542 Find X
Answer:
36
Step-by-step explanation:
62x + 310 = 2542
62x = 2232
x = 36
Answer:
36
Step-by-step explanation:
62x + 310 = 2542
Subtract 310 from both sides
62x = 2,232
Then Divide by 62
x = 36
Enjoy.
A map scale has 1cm:3miles the distance between two towns 7 cm what is the real life distance between the two towns?
Answer: 21 miles
Step-by-step explanation:
7x3 = 21 miles
need help please !!!!!!!!!!!!
Answer:
160,000,000,000,000
Step-by-step explanation:
M= 200,000,000,000,000
P= $40,000,000,000,000
200,000,000,000,000 - 40,000,000,000,000=
160,000,000,000,000
All you have to do is do 10x10 14/13 times or cause it's 10 just add 14/13 zeros
Answer:
(2×10^14)/(4×10^13) = 5
Star M is 5 times farther from earth than Star P.
Let measure of angle B be 18 degrees and BC = 9. Find the length of AC, BA and the measure of angle C. Round to 1 decimal place when needed. Show all of your work.
Answer:
m∠C = 72°
BA = 8.6
AC = 2.8
Step-by-step explanation:
We can start by finding the sum of all angles in a triangle to find angle C. The sum of all angles is 180°, so we can write the equation:
m∠A + m∠B + m∠C = 180°
And substitute what we have:
90° + 18° + m∠C = 180°
108° + m∠C = 180°
m∠C = 72°
In order to find the side BA, we can use trig functions. We are given the hypotenuse and we are looking for the side adjacent to ∠B. The trig function that relates the two is cosine. We can set up the equation as follows:
cos(∠B) = [tex]\frac{BA}{BC}[/tex]
cos(18°) = [tex]\frac{BA}{9}[/tex]
9 * cos(18°) = BA
BA ≈ 8.559508647
And when we round, we get:
BA = 8.6
In order to find the side AC, we can use trig functions. We are given the hypotenuse and we are looking for the side opposite to ∠B. The trig function that relates the two is sine. We can set up the equation as follows:
sin(∠B) = [tex]\frac{AC}{BC}[/tex]
sin(18°) = [tex]\frac{AC}{9}[/tex]
9 * sin(18°) = AC
AC ≈ 2.781152949
We can round this to:
AC = 2.8
HELP DUE IN 15 MINS!
x=??
Answer:
7
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
Use the Intersecting chord theorem;
Rule: (CE) * (EB) = (AE) * (ED)
CE = x
EB = 15
AE = 9
ED = 10
=> (x) (15) = (9) (10)
15x = 90
Now Divide each side with 15
=> x = 6
Hope this helps!
Find the distance speed=96km/h time=20 mins
Answer:
32km
Step-by-step explanation:
speed=96km/h
time=20mins=1/3hour
Distance=Speed×Time➜96×1/3
➜96/3
➜32km
Sadie is saving her money to buy a new pony, which costs $600. She has already saved $75. She earns $50 per week working at the stables and wonders how many weeks it will take to earn enough for a pony of her own. How many weeks will Sadie have to work to earn enough to buy the pony?
A) 8 weeks
B) 10 weeks
C) 11 weeks
D) 12 weeks
Answer: C
Step-by-step explanation:
My answer is correct because, if Sadie gets 50 per week then we can just multiply it by 10 and that equals 500. But since we have 75 dollars already we cant multilpy it by 11 but if we times it by 10.5 that equals 525 and if we add 75 dollars that equals 600. but since we get the money every week we have to round that and that would equal 11 weeks.
#[tex]AnimePower[/tex]
Need help ASAP! What is this
180 - 64= 116
116 divided by 4 = 29
x=29
Have a good day:>
Answer:
x = 29
Step-by-step explanation:
Supplementary angles add up to 180 degrees:
4x+64 = 180
Subtract 64 from both sides:
4x+64-64 = 180-64
4x = 116
Divide both sides by 4:
4x/4 = 116/4
x = 29
find y when x=-6 if y =15 when x =-5
Answer:
y = 18
Step-by-step explanation:
15/-5 = y/-6
cross-multiply:
-5y = -90
y = 18
Corresponding ______ are matching sides that are in the same position in two or more polygons.
Answer:
Corresponding sides are matching sides that are in the same position in two or more polygons .
Question 1 of 10
Solve the proportion below.
-X/45=7/9
x=
O A. 5
B. 39
C. 35
O D. 43
Decide if each sentence uses assonance or consonance. Then, drag each answer to the correct box.
Answer:
Assonance, Assonance, Consonance, Assonance - Last box can be seen as consonance because of -ea repetition but there is a constant repetition of the vowel -e.
Step-by-step explanation:
Answer:
The foam rolls across the lonely ocean. : Consonance
I can't forget the letter that you sent last night: Consonance
In the hills, we stroll until nightfall, when the bells ring from the town hall. : Assonance
I went east, where the green beach trees lean against each other. : Assonance
Step-by-step explanation:
Hope this helps :D
Which of the following equations is used to calculate the probability of event A happening, given that event B has occurred?
Answer:
B
Step-by-step explanation:
Not much to explain
Is the relationship shown by the data linear if so model the data with an equation
A toy company is packaging its toy to be shipped. Each small toy is placed inside a cube- shaped box with side lengths of 1/8 in. These smaller boxes are then placed into a larger box with dimensions of 12in. X 4 1/2in. X 3 1/2 in.
Answer:
1512
189 in³
Step-by-step explanation:
Here is the complete question
A toy company is packaging its toys to be shipped. Each small toy is placed inside a cube-shaped box with side lengths of 1/2 in. These smaller boxes are then placed into a larger box with dimensions of 12 in. × 4 1/2 in. × 3 1/2 in.
a. What is the greatest number of small toy boxes that can be packed into the larger box for shipping?
b. Use the number of small toy boxes that can be shipped in the larger box to help determine the volume of the shipping box
A. greatest number of small toy boxes that can be packed into the larger box for shipping = volume of larger box / volume of smaller box
volume of larger box = length x width x height = 12 in. × 4 1/2 in. × 3 1/2 in = 189 in³
volume of smaller box = volume of a cube = side length³ = [tex]\frac{1}{2}[/tex]³ = 1/8 in³
189 ÷[tex]\frac{1}{8}[/tex] = 189 x = 1512
b. 1/8 x 1512 = 189 in^3
what times twelve is exactly 30
the answer is most likely a mixed number
Answer:
2.5 or 2 and 1/2
Step-by-step explanation:
30/12 = 2.5
There are two wholes that fit in 30 with a remainder of half of a whole.
2.5 translates to 2 and 1/2
Answer:
Hello! answer: 2½
Step-by-step explanation:
Assuming you mean mixed number as in fraction I did 30 ÷ 12 = 2.5 and converted it to a mixed number and since 2½ × 12 = 30 the answer is 2½ Hope that helps!
please help me asap im so confused
Answer:
RPT = 208
Step-by-step explanation:
Arc ST = 97 Given
Arc RP = 180 - 97 Straight line
Arc RP = 83
Arc PT = 125 Given
Arc RPT = 125 + 83 Add the two arcs together.
Arc RPT = 208
Combine like terms to simplify the expression below.
14x -(2x - y) - y
A 12x B 14x -y C 12x - y D 14x
Answer:
The answer is A: 12x Hope this helps!