Answer:
shift of 1 unit to the right
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
Given the parent function is y = x² , then
y = (x - 1)² is a shift to the left of 1 unit of the parent function
Write an equation of the line. What is the equation of the line?
Answer:
y=-1
Step-by-step explanation:
As the line is horizontal in nature and pass through (2,-1), the equation is y=-1
a grocery store buys boxes of cereal for $ 2.00 each and sells them for 50% more. what does the grocery store charge its customers for each box of cereal?
Answer:
$3.00
Step-by-step explanation:
First find the markup
2.00 * 50%
2 * .5
1
Add this to the original price
2+1 =3
The store sells the cereal for $3.00
Answer:
$3
Step-by-step explanation:
The grocery store pays $2.00 for each box of cereal bought.
First, find 50% of the cost of each box:
2.00 x 0.50 = 1.00
Next, add the additional amount to the starting price:
2.00 + 1.00 = $3.00
$3.00 is your answer.
~
Select two choices that are true about the function f(x)=23x+14/x
Answer:
There is an asymptote at x = 0
There is an asymptote at y = 23
Step-by-step explanation:
Given the function:
(23x+14)/x
Vertical asymptote is gotten by equating the denominator to zero
Since the denominator is x, hence the vertical asymptote is at x = 0. This shows that there is an asymptote at x = 0
Also for the horizontal asymptote, we will take the ratio of the coefficient of the variables in the numerator and denominator
Coefficient of x at the numerator = 23
Coefficient of x at the denominator = 1
Ratio = 23/1 = 23
This means that there is an asymptote at y = 23
Identify the glide reflection rule in the given figure.
Question 8 options:
Translation: (x,y) → (x – 5,y); Reflection across y-axis
Translation: (x,y) → (x,y – 5); Reflection across y-axis
Translation: (x,y) → (x,y + 5); Reflection across y-axis
Translation: (x,y) → (x,y + 5); Reflection across x-axis
Answer:
B
Step-by-step explanation:
The shape clearly is reflected across y axis and the x coordinates remain the same. We can see a change in the y coordinates and the shape has shifted 5 units down. Hence (x, y) -> (x, y-5) and then reflection across y axis is the answer
Answer:
B
Step-by-step explanation:
I’m having a lot of trouble, can someone guide me, step by step?
Answer:
Hi hopefully this helps you!
Step-by-step explanation:
To find the area of a circle you can use the formula A = πr^2
The radius of a circle is just the diameter divided by 2. In this case we know the diameter is 3, so the radius is 1.5
A = π(1.5)^2
= 7.07
Because this is a semicircle, divide this area by 2
= 3.53429 in^2
Add up the area of this semi circle with the area of the rectangle
A = (3.53429) + (3x4)
= 15.53429 in^2
To find the circumference/ perimeter of a circle use this formula C = 2πR
C = 2π(1.5)
= 9.42478 inches
Again because this is a semicircle, divide by 2
= 9.42478 / 2
= 4.71239 inches
To find the perimeter of this entire shape add up the circumference of the semicircle and the rectangle's sides and bottom
P = 4.71239 + 4 + 4 + 3
= 15.71239 inches
So the final answer would be
A = 15.53 squared inches
P = 15.71 inches
Hope this helps! Best of luck in your studies <3
help me with this math question please
Answer:
$44.00 + $85.00 = $129.00
Step-by-step explanation:
The least amount that she needs is $129.00 because we're summing the amount for food and House Rent.
Movies and Shopping are less important.
Davina uses a diagram to demonstrate the Pythagorean Theorem.
3
hypotenuse
How are the squares related to the sides of the triangle?
The area of each square is equal to the square of the length of the side to which it is adjacent.
The area of each square is equal to the length of the side to which it is adjacent.
The sum of the areas of the squares is equal to the square of the perimeter of the triangle.
The perimeter of each square is twice the length of the side of the triangle squared.
Answer:
the first option : The area of each square is equal to the square of the length of the side to which it is adjacent.
an isosceles triangle is such that AC=BC and has vertices A=(3,4), B=(7,4) and C=(5,8) a) Calculate the length of AC B) the line of symmetry of the triangle meets the line AB at M what are the coordinates of M
Answer:
Step-by-step explanation:
A( 3 , 4) & C(5 , 8)
Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]AC = \sqrt{(5-3)^{2}+(8-4)^{2}}\\\\=\sqrt{(2)^{2}+(4)^{2}}\\\\=\sqrt{4+16}\\\\=\sqrt{20}\\\\= 4.47 units[/tex]
M is the midpoint of AB
A(3,4) &B(7,4)
[tex]M(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\M(\frac{3+7}{2},\frac{4+4}{2})\\\\M(\frac{10}{2},\frac{8}{2})[/tex]
M(5,4)
2.) Find the measure of exterior angle X:
Answer:
x = 90
Step-by-step explanation:
Here 60 is angle B, 30 is Angle a, B is The third angle of the triangle, and x is the exterior angle measurement!
60 + 30 + b= 180
a + x = 180
60 + 30 + b= 180
90 + b = 180
b = 90
90 + x = 180
x = 90
Note:exterior angle equal to the sum of its two opposite non-adjacent interior angles.
Why is it useful to have different forms of linear equations?
Linear equation is the equation of a straight line.
Forms of a linear equation
The forms of a linear equation are:
Slope intercept form - [tex]\mathbf{y = mx + b}[/tex].Point slope form - [tex]\mathbf{y - y_1 = m (x - x_1)}[/tex].Standard form - [tex]\mathbf{Ax +Bx = C}[/tex].Slope intercept form
From the slope intercept form, one can easily deduce the slope and the y-intercept of the linear equation
Point slope form
From the point-slope form, one can easily deduce the slope and the points of the graph of the linear equation
Standard form
From the standard form, the values of x and y can be easily calculated.
Hence, the usefulness of having different forms of linear equation is that they all serve different purposes, even through they represent the same graph.
Read more about linear equations at:
https://brainly.com/question/17895632
Help me please and thank you
Answer:
Below
Step-by-step explanation:
The domain tells you if there are any restrictions on the x's
The -5 in the function tells us that it has moved 5 units RIGHT from the original parent function. Because of this, any x coordinates have to be bigger or equal to 5!
So, the domain of this function is x >/ 5
Hope this helps!
three decreased by the product of a number and two
simplify (5^0+4^-0•5)^2
Answer:
anything raised to the power of zero= 1
(1+1/4^½)²
(1 + 1/2)²
(3/2)²
9/4
=2.25
solve the following: If 7a – 4b = 3, then b =
Answer:
D (7a-3)/4
Step-by-step explanation:
7a – 4b = 3
Subtract 7a from each side
7a-7a – 4b = 3-7a
-4b = 3 -7a
Divide by -4
-4b/-4 = (3-7a)/-4
b = (7a-3)/4
Answer:
b = (7a - 3)/4
Step-by-step explanation:
7a - 4b = 3
=> -4b = 3 - 7a
=> b = (3 - 7a)/(-4)
=> b = -(3 - 7a)/4
=> b = (-3 + 7a)/4
=> b = (7a - 3)/4
There are 135 people in a sport centre. 73 people use the gym. 59 people use the swimming pool. 31 people use the track. 19 people use the gym and the pool. 9 people use the pool and the track. 16 people use the gym and the track. 4 people use all three facilities. How many people didn't use any facilities?
Answer:
24 people
Step-by-step explanation:
((The numbers are up there, so I am not going to define each variable.))
For starters, there is no overlap between the double facilities groups, except the triple facility users, so:
19 + 9 + 16 - 4 = 40 people
Since there is overlap between single and double groups, you will need to subtract, so:
Gym: 73 - 19 - 16 = 38
Pool: 59 - 19 - 9 = 31
Track: 31 - 9 - 16 = 6
Total for 1 facility: 38 + 31 + 6 - 4 = 71 people
((Minus 4 because the 4 triple facility users overlap the double facility users (problem is in layers: layer 1 minus layer 2, then minus layer 3).))
Next, add the totals:
71 + 40 = 111 people (using facilities)
135 - 111 = 24 people (who didn't use any)
(((I'm not 100% sure on this answer, so if someone could check my work, that would be much appreciated.)))
Hello, who can help me solve this problem?Please see the picture below and take a look
9514 1404 393
Answer:
C
Step-by-step explanation:
It's about making up a rule that gets from one figure to the next. Here's the rule I used:
The bottom left segment is rotated 1/8 turn CW from one figure to the next.
The top middle segment is rotated 1/4 turn CW from one figure to the next.
After steps, the top middle segment will be back in the same place. The lower left segment will be in the opposite corner. This corresponds to figure C.
Which graph shows a system with one solution?
Graph A
Graph B
y
Graph
SVy=
315
2
5
y=2x-1
5
-5
5
-5
y
+2y = 4x – 2
O A. Graph A
B. Graph B
O C. Graph C
For a one-way within-subjects ANOVA, the mean difference attributed to the manipulation is in the ________, and the mean difference attributed to individual differences is in the ________ of the test statistic. numerator; numerator denominator; numerator numerator; denominator denominator; denominator
Answer:
1. numerator;
2. denominator
Step-by-step explanation:
For a one-way within-subjects ANOVA, the mean difference attributed to the manipulation is in the NUMERATOR, and the mean difference attributed to individual differences is in the DENOMINATOR of the test statistic.
The largest U.S. standard postage stamp ever issued has a width of about
3
1 inch, which was of the height of the stamp. Find the height of the stamp.
4.
Answer:
SOLUTION: " The largest US standard postage stamp ever issued has a width of about 1 inch, which was 3/4 of the height of the stamp. Write and solve an equation to find the height of the st
A new site offers a subscription that costs 28.50 for 6 months.what is unit rate price per month? show ur work
Answer:
The answer is 4.75
Step-by-step explanation:
Since six months is 28.50 then 1 month is equal to x
28.50: 6 months
x : 1 month
After this you cross multiple so u divide by 6 both side to get 4.75
6x/6: 28.50/6
x=4.75
Is the following number rational or irrational?
13
12
Choose 1 answer:
А
Rational
B
Irrational
Answer: Rational
This is because the number is in the form P/Q where P and Q are integers
We have P = -13 and Q = 12.
You can think of "rational" as in "ratio" which is very closely tied to fractions. Any rational number is a fraction of two integers. The denominator can never be zero.
Answer:
Rational
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
Decimal form: − 1.08 3
3 repeats itself, so it's rational.
There are 35 times as many students at Wow University as teachers. When all the students and teachers are seated in the 8544 seat auditorium, 12 seats are empty. How many students attend Wow University.
A. 237
B. 249
C. 8295
D. 8124
Answer:
C. 8296
Step-by-step explanation:
Answer:
c.8295
Step-by-step explanation:
8544-12 = 8532
8532-237 =8295
The midpoint of a sègment is (6,-4) and one endpoint is (13,-2). Find the coordinates of the other endpoint.
let other one be (x,y)
We know midpoint formula
[tex]\boxed{\sf (x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)}[/tex]
[tex]\\ \sf\longmapsto (6,-4)=\left(\dfrac{13+x}{2},\dfrac{-2+y}{2}\right)[/tex]
[tex]\\ \sf\longmapsto \dfrac{13+x}{2}=6[/tex]
[tex]\\ \sf\longmapsto 13+x=12[/tex]
[tex]\\ \sf\longmapsto x=12-13[/tex]
[tex]\\ \sf\longmapsto x=-1[/tex]
And
[tex]\\ \sf\longmapsto \dfrac{-2+y}{2}=-4[/tex]
[tex]\\ \sf\longmapsto -2+y=-8[/tex]
[tex]\\ \sf\longmapsto y=-8+2[/tex]
[tex]\\ \sf\longmapsto y=-6[/tex]
Answer:
(- 1, - 6 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] ) ← midpoint formula
Use this formula on the endpoints and equate to the coordinates of the midpoint.
let the other endpoint = (x, y) , then
[tex]\frac{13+x}{2}[/tex] = 6 ( multiply both sides by 2 )
13 + x = 12 ( subtract 13 from both sides )
x = - 1
[tex]\frac{-2+y}{2}[/tex] = - 4 ( multiply both sides by 2 )
- 2 + y = - 8 ( add 2 to both sides )
y = - 6
The coordinates of the other endpoint are (- 1, - 6 )
An arc length is a fractional part of the
circumference of a circle. The area of a
sector is a fractional part of the area of a
circle
The stained glass circle- head
the window has a 2 -inch wide
frame. The grills divide the
semicircular glass plane into
four congruent regions
Using detailed steps, describe your
solution to the problems below
Your steps should be clear enough so that
any geometry student can complete
them
A. Find the area of the blue region
B. Find the perimeter of the outer window
frame
Answer:
Each of the 4 sectors have an area:
πR²/8 - πr²/8, whereR = 28/2 - 2 = 12 inr = 6/2 = 3 inFind the area:
A = π/8(12² - 3² ≈ 53 in²Outer perimeter of the frame:
P = d + πd/2 =28( 1 + π/2) ≈ 72 incan you help me with this please.
Answer:
98 is the answer
Step-by-step explanation:
you add 8 each time
Answer:
a₁₃ = 98
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = a₂ - a₁ = 10 - 2 = 8 , then
a₁₃ = 2 + (12 × 8) = 2 + 96 = 98
2+ (-3)^2 - (-1)
please explain! :3
Answer:
12
Step-by-step explanation:
Hello!
First of all you have to understand the order of operations.
PEMDAS
Parenthesis, Exponent, Multiplication/Divison, Addition, Subtraction.
From this you can see that we first have to deal with the exponent, then multiplication, then the addition.
So we get 2+9-(-1)
The 9 is from -3^2
2+9+1
11+1
12.
Hope this helps!
frank bought 3 action figures 2 board games and 3 toy cars at the toy store . The action figure coast 1.95$ each, the board games coast 5.10$ a piece and the toy cars were 1.00$ if he paid with a twenty dollar bill, how much change should he get back?
Answer:
-5
Step-by-step explanation:
PLEASE HELP!
Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 10.
Refer the attached image for the answer
HOPE SO IT HELPS YOU
Martina is recording the percentages she earned on each quiz in her math class. Here are her results for the last 7 quizzes.
74, 64, 90, 74, 92, 68, 71
Find the range of the data set.
=___
Answer:
28
Step-by-step explanation:
Subtract highest number from lowest.
92-64 = 28
[tex]integrate \: ln(x) [/tex]
Answer:
ln(x) = 1/x... It's a basic rule of Calculus.
