Answers
Answer:
The transformation that maps f into g is a translation transformation,
involving the addition of k to the value of f(x).
The value of k that transforms f into g is; k = -5
Reasons:
Points on the graph of g(x) are; (0, -3) and (0, 1)
The equation of g(x) is; y - (-3) = 4·x, which gives;
y = 4·x - 3
The y-intercept = -3
Points on the graph of f(x) are; (-1 -2) and (0, 2)
The equation of f(x) is; y - (-2) = 4·(x - (-1)), which gives;
y = 4·x + 4 - 2 = 4·x + 2
The y-intercept = 2
The slopes of the graphs of f(x) and g(x) are equal, therefore, f(x) ║ g(x)
The difference or the transformation that takes the y-intercept of f(x) to the
y-intercept of g(x) is; k = y-intercept(g(x)) - y-intercept(f(x)) = -3 - 2 = -5
Therefore, k = -5
Which gives;
g(x) = f(x) - 5
The value of k that transforms f into g is; k = -5
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Related Questions
You start at (0, 8). You move down 7 units and right 8 units. Where do you end?
Answers
========================================================
Explanation:
The "move down 7" means the y coordinate 8 becomes 8-7 = 1
We subtract 7 from the y coordinate.
The "move right 8 units" means we add 8 to the x coordinate to get 0+8 = 8
Therefore, the point (0,8) moves to (8, 1)
Check out the diagram below.
barbara needed 3 1/4 cups of flower for her recipe.if she measured 1/4 cups at a times did she have to fill the measured cup
Answers
Helpppppppppppppppppppppppppp
Answers
Answer: 7= 2+r
Step-by-step explanation:
Which graph represents a function
Answers
Answer:
Bottom graph
Step-by-step explanation:
For the relation to be a function, its graph must pass the Vertical line test (each x value must only have 1 corresponding y value)
Hi can you please help me out
Answers
Answer:
Centroid
Step-by-step explanation:
is it right please tell me down below thank you
How do i answer this problem s2 + 18s = 47 and it being in integers
Answers
Answer:
[tex]s=-9\pm8\sqrt{2}[/tex]
Step-by-step explanation:
[tex]s^2+18s=47\\\\s^2+18s-47=0\\\\s=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\s=\frac{-18\pm\sqrt{(18)^2-4(1)(-47)}}{2(1)}\\ \\s=\frac{-18\pm\sqrt{324+188}}{2}\\\\s=\frac{-18\pm\sqrt{512}}{2}\\\\s=\frac{-18\pm16\sqrt{2}}{2}\\ \\s=-9\pm8\sqrt{2}[/tex]
This is all assuming that your problem is a quadratic equation
What is the unknown fraction
___ + 5/10 = 58/100
A. 5/100
B. 8/100
C. 63/100
D. 108/100
WILL GIVE BRAINLIEST
Answers
Answer: B. 8/100
Let's give 5/10 a denominator of 100 since 58/100 does, so they have common denominators:
5/10 * 10 = 50/100
Now, we can subtract 50/100 from 58/100 to find the unknown fraction:
58/100 - 50/100 = 8/100
This gives us an answer of,
B. 8/100
a) Make r the subject of EACH of the following formulae:
© r-h=rh
Answers
Hope it helps
Pleaseeee HELPPPPPPPP!!!
Answers
Answer:
ok and u have to divide up that have it
The tail of a model dinosaur is 8 inches shorter than the rest of its body. The rest of its body is 36 inches long. How long is the dinosaurs tail?
Answers
Answer:
So to find this answer we would do 36-8= 28 in
Step-by-step explanation:
If the tail is 8 in shorter than the body them that means is subtraction,
Hop this helps!
Find the value of x.
Answers
Answer:
I think it is 343
Step-by-step explanation:
360-17=343
Does anyone know the answer to 10 and 11??
Answers
Answer:
I do!
Step-by-step explanation:
10: It appears to be (6, 4.75)
11: It looks like (-4, -4)
You can desmos graphing calculator to check yourself, if you'd like!
I hope this helps!
Help ASAP!!!!!!! 20 points!!! Simplify the expression
7a^4b^-5 x 2a^2b
Answers
[tex]\longrightarrow \sf \: 14a^6b^{-4}[/tex]
Solution:-[tex]\begin{gathered}\\\implies\quad \sf 7a^4b^{-5} \times2a^2b \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 7\times a^4\times b^{-5} \times2\times a^2\times b \\\end{gathered} [/tex]
Grouping the like terms
[tex]\begin{gathered}\\\implies\quad \sf (7\times2)\times (a^4\times a^2)\times(b^{-5} \times b )\\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 14\times a^{4+2}\times b^{-5+1} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 14\times a^6\times b^{-4}\\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 14a^6b^{-4} \\\end{gathered} [/tex]
Find the number of solutions of the equation x2 + 2x + 3 = 0 by using the discriminant.
Answers
Answer:It has no rerealrealr solutions
Step-by-step explanation:
Alan swam 8 kilometers against the current in the same amount of time it took him to swim 16 kilometers with the current. The rate of the current was kilometer per hour. How fast would Alan swim if there were no current?
Answers
Answer:
the answer is 96
Step-by-step explanation:
all you have to do is 8 times 12
Find the values of x, y, and z. Round to the nearest tenth, if necessary.
Answers
Answer:
Step-by-step explanation:
The value of x is 15, y is 5 and z is 17 units in the given triangle.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
First let us find value of y
We know that hypotensue / leg = leg/y
20/10 = 10/y
Apply cross multiplication
20y=100
y=5
Now let us find x value
20-y=x
20-5=x
x=15
The altitude is √5.15= √75
=8.6
Now by pythagoras theorem, we find value of z
x²+75 = z²
15²+75 = z²
225+75= z²
300= z²
z=17.3
Hence, the value of x is 15, y is 5 and z is 17 units in the given triangle.
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I really need help fast
Answers
Hey
Answer:
P(A and 2) = 1/12, P(D and 1) = 1/8, P(A and not 2) = 1/6
Step-by-step explanation:
P(A and 2)
There is a 1/4 chance that you hit a when you spin the spinner. There is a 2/6 chance that you hit two when you spin the spinner. 1/4*2/6 = 2/24=1/12
P(D and 1)
There is a 1/4 chance that you hit d when you spin the spinner. There is a 3/6 chance that you hit one when you spin the spinner. 1/4*3/6=3/24=1/8.
P(A and not 2)
There is a 1/4 chance that you hit a when you spin the spinner. There is a 4/6 chance that you hit anything but two in the second spinner. 1/4*4/6=4/24=1/6
solve each system by substitution.
y=3x-5
y=-6x-5
????
y=8x-9
y=-8x+7
???
-x+6y=21
y=-5x+12
?????
Answers
Given:
y = 3x - 5y = -6x - 5Multiplying y = 3x - 5 by 2:
=> 2(y = 3x - 5)y = -6x - 5
=> 2y = 6x - 10y = -6x - 5
Adding both equations:
=> 3y = -15Dividing 3 both sides:
=> y = -5Substitute the value of y into any equation.
y = -6x - 5=> -5 = -6x - 5=> 0 = -6xDivide -6 both sides.
=> x = 0/-6 = 0Solution (2):Given:
y = 8x - 9y = -8x + 7Add both the equations.
y = 8x - 9y = -8x + 7
2y = -2Divide 2 both sides.
2y = -2=> 2y/2 = -2/2=> y = -1Substitute the value of y into any equation.
y = 8x - 9=> -1 = 8x - 9Add 9 both sides.
=> -1 + 9 = 8x - 9 + 9=> 8 = 8xDivide 8 both sides.
=> 8/8 = 8x/8=> x = 1Solution (3):Given:
-x + 6y = 21y = -5x + 12Reorganize the first equation.
-x + 6y = 21=> 6y = x + 21Multiply the first equation by 5.
5(6y = x + 21)y = -5x + 12
30y = 5x + 105y = -5x + 12
Add both the equations.
31y = 117Divide 31 both sides.
31y = 117=> 31y/31 = 117/31=> y = 117/31Substitute the value of y into any equation.
-x + 6y = 21=> -x + 6(117/31) = 21=> -x + 702/31 = 651/31Subtract 702/31 both sides.
=> -x = 651/31 - 702/31=> -x = -51/31=> x = 51/31Boxes of granola are on sale of 2 for 4. 50. There are 12 ounces of granola in each box. What is the unit price of dollars per pound?
Answers
Answer:
$0.38
Step-by-step explanation:
Boxes of granola are on sale of 2 for 4. 50. There are 12 ounces of granola in each box. What is the unit price of dollars per pound?
4.5/12 = $0.38 per pound
The unit of each dollar per pound is $0.38
Hope this helps!
is y= 3/8x proportional
Answers
Answer:
yes
Step-by-step explanation:
the equation of proportion is
y = kx ← k is the constant of proportion
y = [tex]\frac{3}{8}[/tex] x ← is in proportional form
How many pieces of string measure longer than 8 and 1/2 inches?
1 poir
Answers
Answer:
This question seems to be somewhat incomplete. Could you maybe provide some more details about the question? And could we also see your options? I would like to help but I need as much information as possible. Thanks!
write each fraction as a decimal 8/12
Answers
That can be simplified to
2/3
2/3 as a decimal is 0.6667
So ur answer is
0.6667
(Or 0.66 recurring)
w times 11, then add x to the result.
Answers
Answer:
11w + x
Step-by-step explanation:
I never get help in this app but can someone at least solve this problem
Answers
Answer:
21
Step-by-step explanation:
If the angles are supplementary, that means they add up to 180 degrees.
That means if we subtract 75 from 180, we get 105.
If we divide 105 by 5, we get 21.
That means 21 * 5 + 75 = 180
or
5(21) + 75 = 180
Hope this helps!
Which shape has parallel side i-Ready
Answers
y∝√x
If y = 32 when x = 64 find,
x when y = 48
Answers
Have a good day :)
I have no clue how I’m supposed to do this…
Answers
Answer:
Step-by-step explanation:
We will need to rewrite the Pythagorean Theorem
A^2 + B^2 = C^2
Substitute. tIn this case:
18^2 + x^2 = 82^2
Subtract 18^2
x^2 = 82^2 - 18^2
In order to get x alone, take the root:
x = sqrt(82^2 - 18^2)
And solve:
x = 80
Help me with this pls i dont understand
Answers
Answer:
Slope is 6 and Y intercept is 4.. You can look the image above.
To find the x intercept you set y=0 and solve for x. So 0=-1/2x+2. x=4. So the x intercept is (4,0) the y intercept is 2
Ma Johnson gives 1/6 of 1 pizza to each of her 25 students
Answers
Answer:
25/6 pizzas are needed. (4 1/6)
Step-by-step explanation:
25 x 1/6 is 4 1/6
Write a quadratic function h whose zeros are 1 and 9.
Answers
Answer:
x^2 - 10x + 9
Step-by-step explanation:
Zeros would be 9 and 1, so the equation would be (x-9)(x-1), and multiplying with FOIL gives us x squared -10x+9