Answer:
Shift 1 unit to the right, i.,e. option (c).
Step-by-step explanation:
Note: Both functions can not be represented by f(x) and square is missing in basic function.
The given basic function is
[tex]f(x)=x^2[/tex]
The given function is
[tex]g(x)=(x-1)^2[/tex]
So, the given function can be written in the form of basic form as
[tex]g(x)=f(x-1)[/tex] ...(1)
The translation is defined as
[tex]g(x)=f(x+a)2+b[/tex] .... (2)
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get
[tex]a=-1,b=0[/tex]
Therefore, graph of f(x) shift 1 unit to the right to get graph of g(x).
Answer:
It C
Step-by-step explanation:
The points (-11, r) and (-7,5) lie on a line with slope
3
4
Find the missing coordinate r.
Answer:
r = 2
Step-by-step explanation:
Calculate slope m using the slope formula and equate to [tex]\frac{3}{4}[/tex]
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 11, r) and (x₂, y₂ ) = (- 7, 5)
m = [tex]\frac{5-r}{-7+11}[/tex] = [tex]\frac{5-r}{4}[/tex] = [tex]\frac{3}{4}[/tex] ( multiply both sides by 4 to clear the fractions )
5 - r = 3 ( subtract 5 from both sides )
- r = - 2 ( multiply both sides by - 1 )
r = 2
The chemicals in my swimming pool use a ratio of 5 tablets of chlorine for every 14 days. Which ratio shows the number of chlorine tablets needed for 42 days? A. 14 to 42 B. 15 to 42 C. 19 to 42 D. 3 to 42
Answer: B (15 to 42)
Step-by-step explanation:
In order to get from 14 to 42, you must multiply by 3 (42/14 = 3). So to get an equivalent ratio, you must also multiply 5 by 3.
5:14 = 5*3:14*3 = 15:42 (B).
Answer:
15 to 42.-B
Step-by-step explanation:
5 tablets for every 14 days
X3
15 tablets every 42 days
In 1986 and earthquake measuring 6.0 on the Richter scale hit the north east section of a state how many times as intense as a magnitude 3.0 earthquake was it?
Answer:
1000
Step-by-step explanation:
each number is 10 times more intense than the previous
Which points are on the graph of f(x)=(1/3)^x?
Select each correct answer
1. (-1, -1/3)
2. (3, 27)
3. (-2, 9)
4. (0, 1)
Answer:
(0,1)
Step-by-step explanation:
A car travels on a highway at a constant speed of 67 miles per hour. Which equation and table shows the correct relationship between , the number of hours, and , the distance traveled
Answer:
distance ÷ 67 = how many hours took to ride that much
you can use a normal table that looks like the ones on google when you search up "tables in math"
I'm sorry for this short answer! I'm in a rush but I hope this helped!
947/7 it is hard because it is confused
Answer:
135.2857142857143
Step-by-step explanation:
its right?
Answer:
7 x 1 = 1
9-7=2
7 x 3 = 21
24-21=3
7 x 5 = 35
37-35=2
135 remainder 2
Step-by-step explanation:
Which slope intercept form equation is equivalent to the standard form equation -x + 2y = -8?
A)y = (1/2)x - 4
B)y = (-1/2)x - 4
C)y = -x - 4
D)y = -2x - 8
E)y = 2x - 8
Answer:
ahhhh is it a
Step-by-step explanation:
Equation is equivalent to the standard form equation -x + 2y = -8 is option A.
What is a linear equation?A linear equation has one or two variables.
No variable in a linear equation is raised to a power greater than 1.No variable is used as the denominator of a fraction. A linear equation is defined as an equation that is written in the form of ax+by=c. When solving the system of linear equations, we will get the values of the variable, which is called the solution of a linear equation.explanation:
-x + 2y = -8
= 2y = -8 + x
y = -8/2 + 1/2x
y = -4 +1/2x
solving this we will get the valve of Y if x is given.
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The coordinate grid shows points a through k. Which points are solutions to the system of inequalities 2x+y 8 please help this is my last resort
Answer:
The points that verify the system of inequalities are:
point E, pointF, and point G.
Step-by-step explanation:
Please see the attached image that illustrates the boundary lines in your system of inequalities.
The boundary line for the inequality [tex]2x+y<10[/tex] is depicted in green, while the boundary line for the inequality [tex]2x-4y>8[/tex] is depicted in red.
By solving for y in each inequality, we understand which half-plane should be considered for the inequality:
First inequality (green boundary line) :
[tex]2x+y<10\\y=10-2x[/tex]
This means that we are to consider the points below the green boundary line.
Second inequality (red boundary line) :
[tex]2x-4y >8\\2x-8>4y\\y<\frac{1}{2} x-2[/tex]
This means we have to consider the points below the red boundary line.
Recall as well that both conditions we arrived at have to be satisfied by the points that are solutions of both inequalities.
From the image, we can see that there are only three points that reside at the same time below the green and the red boundary lines. These points are: point E, pointF, and point G.
On the other hand, we have two points that lie on a boundary line (point J and H), but they should be ignored, since the system of inequalities contain just inequality symbols < or >, and not the "equal" sign.
4. Alistair has an infinite number of bags numbered 1, 2, 3, 4... Each bag
contains an infinite number of marbles numbered 1, 2, 3, 4... Is the set of
all marbles that Alistair possesses larger than the set of marbles he has in
just the first bag?
Answer:
No
Step-by-step explanation:
One infinity cannot be larger than another
Here is a list of numbers.
17
18
19
20
21
22
23
24
a) From the numbers in the list, write down a number that is a factor of 20
b) From the numbers in the list, write down a number that is a multiple of
both 3 and 7
c) Write down all the prime numbers from the list
Answer:
A=20 B=23 C=17,19,23
Step-by-step explanation:
A=20
B=23
C=17,19,23
What is the volume of a hemisphere radius of 44.9 m rounded to the nearest 10th of a cubic meter
Answer:
189582.23m^3
Step-by-step explanation:
formula for the volume of a hemisphere=2/3 x pi x r^3
The volume of a hemisphere radius of 44.9 m rounded to the nearest 10th of a cubic meter is 181,037 cubic meters.
How to calculate volume of a hemisphere?We can say that a hemisphere is exactly half of a sphere. The volume of the hemisphere is obtained by Archimedes and is half the volume of a sphere. The volume V of a hemisphere is two-thirds times pi times the radius cubed.
The formula for the volume of a hemisphere is :
[tex]V=2/3 * \pi * r^3\\V= 2/3 (3.14) (44.9)^3\\V= 181,037 m^3[/tex]
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plz answer this asap
2. Determine if the two quadrilaterals are similar,
if they are, state the scale factor.
Answer:
Yes, they are similar. The scale factor is 5/3
Step-by-step explanation:
The longest to the shortest side of quadrilateral KLMJ are: JM, ML, KJ, LK
The longest to the shortest side of quadrilateral QPSR are: QP, PS, RQ, SR
If the two quadrilaterals are similar, the following proportion must be satisfied:
JM = k*QP
ML = k*PS
KJ = k*RQ
LK = k*SR
where k is the scale factor. Solving for k and replacing with lengths:
k = 25/15 = 24/14.4 = 20/12 = 15/9 = 5/3
From the figure, we can also see that:
∠M ≅ ∠P
∠L ≅ ∠S
∠R ≅ ∠K
∠Q ≅ ∠J
Therefore, the two quadrilaterals are similar.
In the number
23.45, the digit
4 is in the Select...
place.
Answer:
tenths place
Step-by-step explanation:
tens ones . tenths hundredths
2 3 . 4 5
The four is in the tenths place
Let's use the place value chart.
You can see that the digit 4 is in the tenths place.
So the value of the digit is 4 tenths.
The ratio of adults to children at an amusement park is 3 to 5. If there are 225 children, how many adults are at the amusement park?
A. 360
B. 45
C. 135
D. 75
Answer:
C
Step-by-step explanation:
Answer:
C 135.
Step-by-step explanation:
For every 3 adults there are 5 children therefore by proportion if there are 225 children there are 225 * 3/5
= 45 * 3
= 135 adults.
Factor the quadratic expression completely: 15x^2 - 4x -4
WHY IS THIS SO HARD !!!!!
Step-by-step explanation:
We can rewrite as 15x² + 6x - 10x - 4. The first two and last two terms have common factors so this turns into 3x (5x + 2) - 2 (5x + 2). This will then become (5x + 2)(3x - 2).
Answer:
(-2 + -5x)(2 + -3x)
Simplifying
15x2 + -4x + -4
Reorder the terms:
-4 + -4x + 15x2
Factor a trinomial.
(-2 + -5x)(2 + -3x)
Final result:
(-2 + -5x)(2 + -3x)
Can i get Brainlest??? Plzzz :D
What is the product?
(negative 3 s + 2 t)(4 s minus t)
negative 12 s squared minus 2 t squared
negative 12 s squared + 2 t squared
negative 12 s squared + 8 s t minus 2 t squared
negative 12 s squared + 11 s t minus 2 t squared
Answer:
[tex] \boxed{- 12 {s}^{2} + 11st - 2 {t}^{2} } [/tex]
Step-by-step explanation:
[tex] = > ( - 3s + 2t)(4s - t) \\ \\ = > - 3s(4s - t) + 2t(4s - t) \\ \\ = > ( ( - 3s) \times 4s )- (( - 3s) \times t) + (2t \times 4s) - (2t \times t) \\ \\ = > - 12 {s}^{2} - ( - 3st) + 8st - 2 {t}^{2} \\ \\ = > -12 {s}^{2} + 3st + 8st - 2 {t}^{2} \\ \\ = > - 12 {s}^{2} + 11st - 2 {t}^{2} [/tex]
The bowl of a circular birdbath has an inside diameter of 18 inches, as shown in the drawing belon.
When the bowl of the birdbath is full, which of the following is the closest to the area of the top surface of the water? Use 3.14 for 1.
1017 square inches
254 square inches
113 square inches
57 square inches
Help plsss
Answer:
254 square inches
Step-by-step explanation:
A=pi*r^2
A=pi*(d/2)^2
A=3.14*(18/2)^2
A=3.14*(9)^2
A=3.14*81
A=254.34 in^2
So, rounded no the nearest whole, the answer is 254 in^2
Which is option 2 or B
Is 4.5 + 3.14 rational
Answer:
4.5 + pi (3.14) is a rational because it is a terminating decimal. irrational because it is a non-terminating and non-repeating decimal.
hope this helped!
A can contains 15/16 pounds of vegetables . one serving of these vegestables weights 3/16 . what is the total number of serving of vegetables in the can
Since both fractions have the same denominator, divide the numerators:
15/3 = 5
There are 5 servings.
Somebody please help me
Answer:
I believe it's 4,080
Step-by-step explanation:
you just add the two numbers
Answer:
4,080
Explanation:
Add how many feet she was when she started to how many feet she hiked.
959 + 3,121
4,080
Therefore, her elevation is now 4,080 feet above sea level.
Solve |x|=5
A{-5}
B{5}
C{-5,5}
Answer:
[tex]x=-5\quad \mathrm{or}\quad \:x=5[/tex]
C is your answer
Step-by-step explanation:
[tex]\left|x\right|=5\\\mathrm{Apply\:absolute\:rule}:\quad\mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\x=-5\quad \mathrm{or}\quad \:x=5[/tex]
write (2a)^4 without exponents
Answer: 2a*4*4*4*4= x (Vote me brainliest please)
Step-by-step explanation: Exponents are simply telling you to multiply the base number or expression by that many times.
Answer:
[tex] = 16 {a}^{4} \\ [/tex]
Step-by-step explanation:
[tex](2a) ^{4} [/tex]
[tex]2a \times 2a \times 2a \times 2a \\ = 16 {a}^{4} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Declaring war and coining money are considered
states' rights.
implied powers.
national rights.
expressed powers.
Answer: Expressed powers
Step-by-step
What is the following sum in simplest form?
√8 + 3 √2+ √ 32
A. 3 √8+ 3 √2
B. 5 √42
C. 9 √2
D. 5 √2 + √32
Answer:
C. 9√2.
Step-by-step explanation:
√8 + 3 √2+ √ 32
= √4 *√2 + 3√2 + √16*√2
= 2√2 + 3√2 + 4√2
= 9√2.
help plz I'm desperate
Anna:
1st month = 18 + [tex]\frac{3}{4}[/tex] = 18[tex]\frac{3}{4}[/tex] inches
2nd month = 18[tex]\frac{3}{4}[/tex] + [tex]\frac{3}{4}[/tex] = 19[tex]\frac{1}{2}[/tex]
3rd month = 19[tex]\frac{1}{2}[/tex] + [tex]\frac{3}{4}[/tex] = 20[tex]\frac{1}{4}[/tex]
4th month = 20[tex]\frac{1}{4}[/tex] + [tex]\frac{3}{4}[/tex] = 21
5th month = 21 + [tex]\frac{3}{4}[/tex] = 21[tex]\frac{3}{4}[/tex]
Grace:
Because Anna is [tex]\frac{9}{4}[/tex] inches shorter than Grace, we can start the count from the third month:
1st month = 20[tex]\frac{1}{4}[/tex]
2nd month = 21
3rd month = 21[tex]\frac{3}{4}[/tex]
4th month = 21[tex]\frac{3}{4}[/tex] + [tex]\frac{3}{4}[/tex] = 22[tex]\frac{1}{2}[/tex]
5th month = 22[tex]\frac{1}{2}[/tex] + [tex]\frac{3}{4}[/tex] = 23
Which of these shapes have rectangular cross sections when they are cut perpendicular to the base? Select three options
rectangular prism
triangular prism
cylinder
cone
square pyramid
triangular pyramid
Mark this and return
Save and Exit
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Submit
Answer:
I think it might be A, B, and E but I am not 100% sure.
Step-by-step explanation:
The figures are rectangular prism, cylinder, and square pyramid.
What is the volume of a prism?A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.
The volume of a prism is the product of its base area and height
Volume of Prism = B x h
where B = base area of prism
h = height of prism
Given data ,
The rectangular prism, cylinder, and square pyramid have rectangular cross sections when they are cut perpendicular to the base.
A rectangular prism has a rectangular cross section no matter where it is cut perpendicular to the base.
A cylinder has a circular base, but when it is cut perpendicular to the base, the cross section is a rectangle.
A square pyramid has a square base, and when it is cut perpendicular to the base, the cross section is also a rectangle.
A triangular prism has a triangular base, and when it is cut perpendicular to the base, the cross section is a triangle, not a rectangle.
A cone has a circular base, and when it is cut perpendicular to the base, the cross section is a circle, not a rectangle.
A triangular pyramid has a triangular base, and when it is cut perpendicular to the base, the cross section is a triangle, not a rectangle.
Hence , the three options that have rectangular cross sections when cut perpendicular to the base are: rectangular prism, cylinder, and square pyramid.
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Hi!! I need some help with those exercises can anybody help me please !! Thanks you
Answer:
Step-by-step explanation:
(a+b)^2=a^(2)+2ab+b^(2)
(a-b)^2=a^(2)-2ab+b^(2)
13)
(x+2)^(2)-(x-1)^2
x^(2)+4x+4-(x^(2)-2x+1)
x^(2)+4x+4-x^(2)+2x-1
6x+3
15)
(x+5)^(2)-(x+1)^2
x^(2)+10x+25-(x^(2)+2x+1)
x^(2)+10x+25-x^(2)-2x-1
8x+24
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Evaluate the expression 3+ (6 – 2) X 4.
Solve this problem using the order of operations.
3 + (6 – 2) X 4
Answer:
[tex]19[/tex]
Step-by-step explanation:
[tex]3 + (6 -2) \times 4[/tex]
[tex]3 + (4) \times 4[/tex]
[tex]3 + 16[/tex]
[tex]=19[/tex]
Answer:
19
Step-by-step explanation:
use the other of operations
Use Cavalieri’s principle to compare the volume of the cone and triangular pyramid.
A) cone has a larger volume
B) triangular prism has a larger volume
C) triangular prism has one-third the volume
D) cone and triangular prism have equal volumes
Answer:
D
Step-by-step explanation:
