3.) Write the equation of a quadratic function that is shifted down 4 and horizontally compressed by 1/5
Answers
Answer:
[tex]5x^2 - 4[/tex]
Step-by-step explanation:
For shifted down a function you have to follow the next structured:
[tex]f(x) - c[/tex]
In our case is:
[tex]x^2 - 4[/tex]
Now for compressed or shrink a graph you have to multiply by a factor in the input something like this:
[tex]f(cx)[/tex]
In our case is:
[tex]5x^2[/tex]
Maybe you can think, why 5 and not [tex]\frac{1}{5}[/tex] instead?. Well, when you multiply by [tex]\frac{1}{5}[/tex] this dilate or stretch the graft because the output of each value is smaller, example:
[tex]f(x) = x^2\\g(x) = \frac{1}{5} x^2[/tex]
Then evaluate for a number, for example 5:
[tex]f(5) = 25\\g(5) = 5[/tex]
the output of [tex]g(x)[/tex] is 5 steps a far from the answer of [tex]f(x)[/tex] this in a graph is illustrate as a stretching.
So the opposite happen when you multiply by a integer number, the graph is compressed because the output take the "faster steps".
So combine the two transformation and get [tex]5x^2 - 4[/tex]
Related Questions
NOT SURE HELPP... it's a khan academy question
Answers
Answer:
36.87
Step-by-step explanation:
Sine rules says:
. sin x = opposite / hypotenuse
We just substitute in the values
. sin x = 3 / 5
. sin x = 0.6
Now we use sin inverse to find the value of the angle
. x = sin^-1(0.6) = 36.87
[tex]\sin \angle A = \dfrac{3}{5} \\\\\implies \angle A = \sin^{-1} \left( \dfrac 35 \right) = 36.87^{\circ}[/tex]
98546 dividido para
46
Answers
Answer:
2142.30435
Step-by-step explanation:
The answer is 2142 and leaves remainder
help me due today it is math
Answers
Answer:
B, C, and D.
Step-by-step explanation:
a)
d + 2 = 7
d = 5
b)
10 - d = 6
-d = -4
d = 4
c)
20 / d = 5
20 = 5d
4 = d
d)
4d = 16
d = 4
Hopefully this helps!
Brainliest please?
51 is 10% of what number
Answers
Answer:
10 percent of 51 is 5.1
Answer:
51=10
510=100
Step-by-step explanation:
51=10/100
x10
510
Evaluate the expression for the given variable 4y-12, when y =7
Answers
Answer:
16
Step-by-step explanation:
y = 7
4(7)-12
28-12 = 16
)Of the people in the theater, 5% have seen the movie before. If there are 8 people who have seen the movie before, how many people are in the theater?
Answers
Answer: 160
Step-by-step explanation: 5% of x = 8
In other words, x * 0.05 = 8. To find what x is, we need to work backwards.
x * 0.05 = 8
x = 8/0.05
x = 160
Would appreciate a brainly <3
how do I erase this?
Answers
Answer:
By deleting the question, or getting it deleted.
Step-by-step explanation:
If I pay 10% extra of my regular charge each month on my bill of $35.00, how long until I have built up a full month's credit?”
Representative: “You will have a full month’s credit in __________ months.”
Answers
Answer:
10 months
Step-by-step explanation:
A shopper needs 24 sandwich rolls. The store sells identical rolls in 2 differently sized packages. They sell a six-pack for $5.28 and a four-pack for $3.40. Should the shopper buy 4 six-packs or 6 four-packs? Explain your reasoning. 20 points!!!!!!!!
Answers
Answer:
6 four-packs.
Step-by-step explanation:
My reasoning for 6 four-packs is that, the shopper needs 24, right? And if that shopper buys 6 four-packs it'll be cheaper than the larger package. The 6 four-packs come to a cost of $20.04. But the 4 six-packs will come out as $21.12. The shopper will be able to save $1.08 :)
Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square increasing when the area of the square is 36 cm2?
Answers
Which of the statements about the picture below are true? Check all that apply.
A. F is the circumcenter of the triangle.
B. F is the incenter of the triangle.
C. F is the point of concurrency of the perpendicular bisectors of the sides of the triangle.
D. F is the point of concurrency of the angle bisectors of the angles of the triangle.
E. F is equidistant from the angles of the triangle.
F. F is equidistant from the three sides of the triangle.
Answers
Answer:
Below
Step-by-step explanation:
The following are true:
B. F is the incenter.
D. F is the point of concurrency of the angle bisectors of the angles of the
F. F is equidistant from the three sides of the triangle.
The following statements are true:
B. F is the incenter.
D. F is the point of concurrency of the angle bisectors of the angles of the
F. F is equidistant from the three sides of the triangle.
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbol Δ. It has three connected vertices.
The circumcenter of a triangle is measured from the point at which the perpendicular bisectors of its sides cross.
The incenter of a triangle is the point at which the triangle's three internal angle bisectors meet.
Thus, the following statements are true:
B. F is the incenter.
D. F is the point of concurrency of the angle bisectors of the angles of the
F. F is equidistant from the three sides of the triangle.
Learn more about the triangles here:
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Solve for x: -2x - 4> 8
X<-6
X> -6
0x<-2
X>-2
Answers
Answer:
x < -6
Step-by-step explanation:
-2x - 4 > 8
the first step is to add 4 to both sides since we need to get x alone on one side
-2x - 4 > 8
+4 +4
so we are left with -2x > 12
we still need to get x alone so we have to divide -2 from both sides
always remember that if you divide by a negative number the inequality flips!! so instead of > it will be <.
-2x/-2 = x
12/-2 = -6
so the answer is x < -6
Answer this problem y =-7/5x-1/5
Answers
Step-by-step explanation:
y=-7/5x-1/5
=-7×5/5x-1
=-35/5x-1
3x + 2 = 2x + 7
Solve x
Answers
3x + 2 = 2x + 7
Subtract 2 from both sides:
3x = 2x +5
Subtract 2x from both sides:
x = 5
Answer: x = 5
Find the equation of the line where m = 1 and b = 8.
y = 8 - x
y = 8
y = 8x + 1
y = x + 8
Answers
Y=x+8
Explanation
Y=mx+b
Answer:
Y=x+8
Step-by-step explanation:
venere madona de mihai eminescu particularitatile textului literar și poetic
Answers
eight times a number
Answers
Answer:
Equals the same number 8 times itself, this is the equation: 8X.
Step-by-step explanation:
Answer:
Look down.
Step-by-step explanation:
8x1=8
8x2=16
8x3=24
8x4=32
8x5=40
8x6=48
8x7=56
8x8=64
8x9=72
8x10=80
I dont know if this is what you were asking for but its all yours now!
geomtry plzzzz help me
Answers
Step-by-step explanation:
it is an isoceles triangle (equally long legs).
there is a right angle at W, so YW is the height of the isoceles triangle XYZ.
that means W splits XZ in half.
therefore,
ZW = XZ/2 = 38/2 = 19
14 - (-10)
Perform the indicated operation
Answers
Answer:
14 - (-10) = 24Step-by-step explanation: 14 - (-10) (-10)= 10 14 + 10 = 4
Help me please! This is so confusing!
Answers
Answer:
a) yes, 2, 1/2
b) b = 2t; t = 1/2b
Step-by-step explanation:
a) The number of batteries is twice the number of toys. Using the variables of part B, this relation is ...
b = 2t
This is of the form required for a proportional relation: y = kx, with a value of k=2.
__
If we divide the above equation by 2 on both sides, we get ...
1/2b = t
This is also a proportional relation, with a constant of proportionality of 1/2.
Toys and batteries are in a proportional relationship. The constants of proportionality are 2 or 1/2.
__
b) As we saw above, the equations can be ...
b = 2t
t = 1/2b
please help me calculation completing square?
x²+2x-24=0?
Answers
Answer:
x = 4, -6
Step-by-step explanation:
x = 4, -6
The function B is defined by the equation B(x)=10x+25
Find the value of each expression:
B(6)=
B(2.75)=
B(1.482)=
Solve each equation:
B(x)=93; x=
B(x)=42.1; x=
B(x)=116.25; x=
Answers
10(6) + 25 = 60 + 25 = 85
10(2.75) + 25 = 27.5 + 25 = 52.5
10(1.482) + 25 = 14.82 + 25 = 39.82
93 = 10x + 25 || 68 = 10x || x = 6.8
42.1 = 10x + 25 || 17.1 = 10x || x = 1.71
116.25 = 10x + 25 || 91.25 = 10x || x = 9.125
The value of each expression is given below,
B(6)=85
B(2.75)=52.5
B(1.482)=39.82
Value of x for each expression,
B(x)=93; x=6.8
B(x)=42.1; x=1.7
B(x)=116.25; x=9.125
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is B(x)=10x+25.
The value of each expression will b calculated as,
10(6) + 25 = 60 + 25 = 85
10(2.75) + 25 = 27.5 + 25 = 52.5
10(1.482) + 25 = 14.82 + 25 = 39.82
93 = 10x + 25 || 68 = 10x || x = 6.8
42.1 = 10x + 25 || 17.1 = 10x || x = 1.71
116.25 = 10x + 25 || 91.25 = 10x || x = 9.125
To know more about an expression follow
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3 + 4x > 27
First subtract ____ from both sides.
Then ______ both side by 4
x > ______
Answers
Answer:
3
divide
6
Step-by-step explanation:
Inequalities are solved similar to how equalities are solved. Isolate the variable using the properties of equality.
So the first step is to subtract 3 from both sides. This starts to isolate the variable. Additionally, because the same thing happens to both sides, the inequality is still true.
Then, divide both sides by 4. This is the last step to isolate the variable. Doing this not only keeps the inequality true, but it also allows the x to be by itself.
This is the final answer, x>6, x is greater than 6.
3+4x>274x>24x>6A soap manufacturer advertises that it has increased the size of their bottle of dishwashing soap to 18.4 ounces, which is 5% more than the original size. What is the original size of the bottle?
Answers
Based on the information given the original size of the bottle is 17.5 ounces.
Using this formula
Original size of the bottle =New bottle size / Percentage increase
Where:
New bottle size=18.4 ounces
Percentage increase=(1+0.05)=1.05
Let plug in the formula
Original size of the bottle=18.4/(1+0.05)
Original size of the bottle=18.4/1.05
Original size of the bottle=17.5 ounces
Inconclusion the original size of the bottle is 17.5 ounces.
Learn more about original size of the bottle here:https://brainly.com/question/25001466
Answer:
17.5
Step-by-step explanation:
i did the math and also im never wrong swear on got thats the annswer
Find the values of p and q so that (-2,5) is the midpoint of the segments joining points (p,p+q) and (p+4, 3q+6)
Answers
Answer:
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) and ( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
midpoint is ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )
~~~~~~~~~~~~~
( p , p + q )
( p + 4 , 3q + 6 )
( p + p + 4 ) ÷ 2 = - 2
p = - 4
( - 4 + q + 3q + 6 ) ÷ 2 = 5
2q = 4
q = 2
I don’t know the answer for this
Answers
Answer:
I think it is probably -12
Step-by-step explanation:
if 1/3 of a gallon of paint covers 1/8 how much paint is needed to cover the entire wall
Answers
Answer:
4 gallons
Step-by-step explanation:
these two figures are similar find the length of the side x
Answers
Answer:
6.7 in bcoz 4-3.2=0.8 and 7.5-0.8=6.7
Answer:
x = 6
Step-by-step explanation:
This problem can be solved by setting up ratios. The ratio of lengths is 4: 3.2, so we can say that the same ratio should apply to the widths. Thus we get the equation, [tex]\frac{4}{7.5} = \frac{3.2}{x}[/tex], and we get x = 6.
plss do the working
Answers
Answer:
1386
Step-by-step explanation:
V=πr²*h
V=22/7*7²*9
V=1386
Please help me help please please help me please
Answers
Answer:
y = 3x + 1 is the answer
Hello there! :)
The slope of this line is 3.
There are lots of ways to calculate the slope.
Here's one of them:
Rise/Run
Here, the rise is 3 (we move up 3 units)
And the run is 1 (we move 1 unit to the right)
3/1=3
So the slope is 3.
Now, the y-intercept is where the graph touches the y-axis.
Here, the y-intercept is 1.
So the equation is
y=3x+1
Hope this helps!
~Just a determined gal
#CarryOnLearning
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