Answer:
y = (x - 5)^2 - 6
Step-by-step explanation:
If you slide a parabola up or down, that translation will show up in the equation just tacked on to the end of the equation. Down 6 will be a MINUS 6.
A horizontal shift will show up in the equation tucked in close to the x in a set of parenthesis. BUT it will look less intuitive...a right shift will be a MINUS.
Untransformed:
y = x^2
Shift down 6:
y = x^2 - 6
Shift right 5:
y = (x - 5)^2
Down6 AND Right5:
y = (x - 5)^2 - 6
Please help me ASAP .......
Answer:
<3 ~= <5 - Alternate Interior Angles Theorem
<3 ~= <7 - Corresponding Angles Theorem
<5 ~= <7 - Vertical Angles Theorem
line I || line m - Transitive Property
Which of the following is an arithmetic sequence?
Answer:
the third one is the correct answer
The approximate total surface area of Earth is 5.1 × 10^8 km2. All the salt water on Earth has an approximate surface area of 352,000,000 km2, and all the freshwater on Earth has an approximate surface area of 9 × 10^6 km2. How much of Earth's surface is covered by water, including both salt and fresh water? Write your answer in scientific notation.Single line text.
Answer:
3.61x10^8km^2Step-by-step explanation:
In this problem, we are expected to solve for the total area covered by water, by addition of scientific notation
Given data
Area covered by salt water= 352,000,000 km2
Area covered by fresh water= 9 × 10^6 km2=9,000,000
Earth's surface is covered by water= 352,000,000 +9,000,000
Earth's surface is covered by water= 361000000
In scientific notation it is 3.61x10^8km^2
25 points
Tyler has a container that is the shape of a cube. He uses 64 cubes with
side lengths of 1 in to completely fill the container. What is the edge?
Answer:
x*x=64
x= 8
Step-by-step explanation:
this means that the area is 64 in more than 2
What is the value of g(3) ?
Answer:3
Step-by-step explanation:
A function from a set X to a set Y assigns to each element of X exactly one element of Y. The value of g(3) is 3
What is a function?A function from a set X to a set Y assigns to each element of X exactly one element of Y.
We need to find the value of g(3).
From the question, we have
g(x)= x-1, -2≤x<-1
g(x)= 2x+3, -1≤x<3
g(x)= 6-x, x≥3
The value 3 is in the function g(x)=6-x
When x is 3
g(3)=6-3
Subtract 3 from 6.
g(3)=3
Therefore value of function g(3) is 3.
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Safia's book has 136 pages.
She has read 1/8
of it.
How many pages has she read
Answer: 17 pages
Step-by-step explanation:
One eighth of 136:
136 divided by 8 = 17
Answer:
17 pages
Step-by-step explanation:
1/8 x 136 = 17
A. y=1/8x
B. y= 4x
C. y=1/4x
D. y= - 1/4
E. y= 2x
F. y= - 1/8
Answer:
C
Step-by-step explanation:
You divide first than you get ur fraction
Which polynomial is prime? x3 3x2 2x 6 x3 3x2 – 2x – 6 10x2 – 4x 3x 6 10x2 – 10x 6x – 6
The polynomial that is prime is given by Option C: [tex]10x^2 - 4x +3x +6[/tex]
What are prime polynomials?Those polynomials with integer coefficients that cannot be factored further, with factors of lower degree and integer coefficients are called prime polynomial.
(it is necessary that no factors exists having their coefficients are still integers and they're of lower degree)
Checking all the listed polynomials for them being prime or not:
Case 1: [tex]x^3+3x^2+2x+6[/tex]Rewriting it as:
[tex]x^3+3x^2+2x+6 = x^2(x+3) + 2(x+3) = (x^2 + 2)(x+3)[/tex]
shows that this polynomial has factors. Thus, it isn't prime polynomial
Case 2: [tex]x^3 + 3x^2 -2x -6[/tex]Rewriting it as:
[tex]x^3 + 3x^2 -2x -6 = x^2(x+3) -2(x+3) = (x^2-2)(x+3)[/tex]
shows that this polynomial has factors. Thus, it isn't prime polynomial
Case 3: [tex]10x^2 - 4x +3x +6[/tex]We can rewrite it as:
[tex]10x^2 -4x + 3x -6 = 10x^2 -x -6 = f(x) \: \rm (say)[/tex]
This polynomial is prime polynomial as it is irreducible in terms of polynomials having their coefficients as integers.
Case 4: [tex]10x^2 -10x + 6x - 6[/tex]
It can be factored as:
[tex]10x(x-1) + 6(x-1) = (x-1)(10x-6)[/tex]
This is not a prime polynomial.
Thus, the polynomial that is prime is given by Option C: [tex]10x^2 - 4x +3x +6[/tex]
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Answer:
The polynomial that is prime is given by Option C:
What are prime polynomials?
Those polynomials with integer coefficients that cannot be factored further, with factors of lower degree and integer coefficients are called prime polynomial.
(it is necessary that no factors exists having their coefficients are still integers and they're of lower degree)
Checking all the listed polynomials for them being prime or not:
Case 1:
Rewriting it as:
shows that this polynomial has factors. Thus, it isn't prime polynomial
Case 2:
Rewriting it as:
shows that this polynomial has factors. Thus, it isn't prime polynomial
Case 3:
We can rewrite it as:
This polynomial is prime polynomial as it is irreducible in terms of polynomials having their coefficients as integers.
Case 4:
It can be factored as:
This is not a prime polynomial.
Thus, the polynomial that is prime is given by Option C:
Learn more about prime polynomials here:
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Step-by-step explanation:
FIRST ANSWER GETS CROWNED BRAINLIEST!!!
Andrea and Felix collected 48 signatures for a petition. Felix collected one-third as many signatures as Andrea did. How many signatures did Andrea collect?
Please answer with the formula :)
Answer:
16 signatures
Step-by-step explanation:
48/3 = 16
16 x 2 = 32
One-third of 48 is 16. So if Felix collected one-third and Andrea collected two-thirds, then Felix had 16 signatures and Andrea had 32 signatures.
Answer:
16
Step-by-step explanation:
48/3 = 16
16 x 2 = 32
1/3 of 48 is 16. if Felix collected 1/3 and Andrea collected 2/3, then Felix got 16 signatures
NEED HELP with these two pages please help me (30 points)
Answer:
1. B
2. E
3. D
4. B
5. C
6. B
7. E
8. D
9. D
10.D
11. E
Evaluate the expression -1/3 - 5/6 . be sure to simplify if necessary!
A: - 6/9
B: - 1/2
C: -1 and 1/3
D: - 1 and 1/6
Answer:
C: -1 and 1/3
Step-by-step explanation:
Suppose y varies directly with x. Write a direct variation equation that relates x and y.
y=-10 when x=2
Answer: Suppose y varies directly with x. Write a direct variation equation that relates x and y.
Step-by-step explanation:
Answer is y = -5x
The equation for y varies directly with x is, y = - 5x.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, y varies directly with x.
Therefore,
y ∝ x.
y = kx, where k is the proportionality constant.
At y = - 10 when x = 2.
- 10 = 2k.
k = - 5.
So, y = - 5x.
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What is the surface area of the solid?
A. 180 square centimeters
B. 232 square centimeters
C. 236 square centimeters
D. 212 square centimeters
E PREVIOUS
Answer:
D
Step-by-step explanation:
4x5+4×12+12×6×2=212
Which numbers can be added to 4.89 × 10–16 without having to rewrite one of them first? Check all that apply.
Answer:
A,B,E
Step-by-step explanation:
Question is in the attachment
Answer:
B is the answer in the first quadrant x is positive
Can someone please help me figure out what’s 18 3/4 as a decimal
Answer:
18.75
Step-by-step explanation:
[tex]\\ \rm\Rrightarrow 18\dfrac{3}{4}[/tex]
Break mix fraction[tex]\\ \rm\Rrightarrow \dfrac{75}{4}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{75(25)}{100}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1875}{100}[/tex]
[tex]\\ \rm\Rrightarrow 18.75[/tex]
what is the rate of change of the cost with respect to the number of miles for the yellow cab company (yellow cab company is the dotted line)
A.$0.50
B.$2
C.$3
D.$1
Answer:
I think the answer may be option C
Which ordered pair fits the function h(x) = x2 + 2? a (-3, -7) b (-2, -2) c (2, 4) d (3, 11)
Answer:??????
Step-by-step explanation:
Answer:
d (3,11)
Step-by-step explanation:
A city starts with a population of 500,000 people in 2007. Its population declines according to the equation
P(t) = 500,000e -0.099
where P is the population in t years later. Approximately when will the population be one-half the initial amount?
A city starts with a population of 500,000 people in 2007. Its population declines according to the equation
P(t) = 500,000e -0.099t
where P is the population in t years later. Approximately when will the population be half the initial amount?
Answer:
2014
Step-by-step explanation:
Given the exponential growth function :
P(t) = 500,000e^-0.099t
Where P is population in t years later
When the population will 1/2 the initial amount
1/2 the initial amount = 1/2 * 500,000 = 250,000
P(t) = 250,000
250,000 = 500000e^-0.099t
250,000/500000 = e^-0.099t
In(0.5) = - 0.099t
t = −0.69314 / - 0.099
t = 7.0014
t = 7
Year which population = 500,000 = 2007
Hence, half the population will be attained on (2007 + 7) = 2014
After 7 years population of the city will be half of the initial amount.
Population function:
[tex]P(t) = 500000 e^{-0.099t}[/tex]
Initial population means population at t=0
P(0) = 500000
Half of initial population = 250000
So, we need to calculate the time t when the population will be half of the initial amount.
[tex]250000= 500000 e^{-0.099t}\\\\e^{-0.099t} = \frac{1}{2}[/tex]
Taking log both sides
-0.099t (log e)= log (1/2)
What is the logarithm of e?The logarithm of e is 1 when considering the base of the log as e.
So, -0.099 t= -0.693
t=7
Therefore, After 7 years population of the city will be half of the initial amount.
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what is the area of this polygon 5in 6in 7in 8in
Help I’m clueless if you can help please do.
Answer:
x is 10 and y is 20
Step-by-step explanation:
What polynomial must be subtracted from 2x^3 − x^2 + 4x − 5 so that the difference is
x^3 + 2x − 9?
Answer:
-x^3 + x^2 - 2x - 4
Step-by-step explanation:
You have to subtract
Let o = the polynomial
So you know 2x^3 - x^2 + 4x + 5 - o = x^3 + 2x - 9
Now you do 2x^3 - x^3 = x^3
then you -x^2 + answer = 0
you need to cancel it out
to cancel, you found out that it is x^2
Now you need to make from 4x to 2x.
To do that, you do 4x - 2x and you get 2x
Lastly you need to change -5 to 9. To do that you add -4.
Now since it is subtraction you have to distribute
2x^3 - x^2 + 4x - 5 -(x^3 - x^2 + 2x + 4)
= 2x^3 - x^2 + 4x + 5 - x^3 + x^2 -2x -4
= x^3 -2x + 9
Find the slope
A) -6
B) 6
C) -1/6
D) 1/6
2x-y=8
3x+y=17, usingelemination method solve
Help with this problem please
Answer:
1 yard = 3 feet
3 × 4 = 12 feet of fabric
12 - 4 = 8
8 - 6 = 2
they will have 2 feet of fabric left over
Ms. Spencer is packing orders for her bath supply business. One customer ordered 8 bath fizzies and 4 jars of sugar scrub. Each bath fizzy weighs 5 ounces, and each jar of sugar scrub weighs 1.5 pounds. How many pounds does this customer's entire order weigh?
If 360 birr is divided among three people in the ratio 3:4:5,find the share of each person?
plsss i will make brainlist if its correct answer
Answer:
the first gets =90birr
the second gets =120birr
the third gets =150birr
90+120+150=360birr
I hope you got your answer.
A surveyor wants to use similar triangles to determine the distance across a lake as shown at the right. What is the distance d across the lake?
A. 75ft
B. 80ft
C. 85ft
D. 90f
Base on the similarity principle of triangles, the distance d across the lake as shown is 90 ft.
Similar triangle theoremsTwo triangles are similar if they are only difference in size but have the same shape.
In similar triangles, corresponding sides are always in the same ratio.
Therefore, let's create a proportion from the triangles since they are similar.
40 / d = 20 / 45
cross multiply
45 × 40 = 20d
1800 = 20d
divide both sides by 20
1800 / 20 = 20d / 20
d = 90 ft
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What is the slope of y = 3? (HOY VUX)
What is the slope of x = 3? (HOY VUX)
Which of the following inequalities is represented on the graph?
Answer:
a number line or something like this