Step-by-step explanation:
point (c-2, y) lies on the graph of f(x)=x(x-4)f(x)=x(x−4) .
Step-by-step explanation:
Given function f(x)=x(x-4)f(x)=x(x−4) also point (2+ c,y) is on the graph of f(x) ,
We have to find out of given point which point will also be on the graph of f(x).
Consider the given function f(x)=x(x-4)f(x)=x(x−4)
f(x)=x(x-4)f(x)=x(x−4) can be rewritten f(x)=x^2-4xf(x)=x
2
−4x
Now we substitute the given point (2+ c, y) in the function given ,
we have,
f(x)=y=x(x-4)f(x)=y=x(x−4)
put for x as 2+c , we have,
\Rightarrow y=(2+c)(2+c-4)⇒y=(2+c)(2+c−4)
Solve, we get
\Rightarrow y=(2+c)(c-2)⇒y=(2+c)(c−2)
Thus, both point (2+c, y) and (c-2, y) lies on the graph of f(x)=x(x-4)f(x)=x(x−4)
Thus, option (1) is correct.
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In a class of 50 students, 40% are girls. Find the number of girls and number of girls in the class.
Answer:
20 girls.
Step-by-step explanation:
40% * 50
= 20
Hope this helped!
What numbers would be in the in the 4 sections of a 2 x 2 array that shows the problem 18 x 17? 100, 80, 70, 15 10, 80, 70, 56 100, 80, 70, 56 100, 80, 7, 56
Answer:
100, 70, 80, 56
Explanation:
Look at attached image!
In the 2 x 2 array, the sum of all squares is 18 x 17 = 306.
The number in the 4 sections are 100, 80, 70, and 56.
A 2 x 2 array that shows the problem 18 x 17.
2 x 2 array has four blockers or magic quadrants, the matrix diagram is a simple square divided into four equal quadrants.
18 = 10 +8
17 = 10 +7
18 x 17 = 306
In the 2 x 2 array : 100+80+70+56 = 18 x 17 = 306
Therefore, In the 2 x 2 array, the sum of all squares is 18 x 17 = 306.
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What is the equation of the line that passes through the point(6,4) and has a slope of -2/3
Answer:
y=-2/3x+8
Step-by-step explanation:
first, find the y intercept, or b.
write your equation so far: y = -2/3x + b
Now substitute in your given point (6,4)
so now we got: 4 = -2/3(6) + b
which gives you: 4 = -4 + b
Now, we find b.
4 = -4 + b
+4 +4 < isolating b...
8 = b
now put it back in..
y=-2/3x+b
hope this helped luv <3
Describe the products made by the process of cellular respiration.
Step-by-step explanation:
The product is carbon dioxide and water
can you solve 1 2/3 x 1 1/4
Answer:
25/12 or 2 1/12
Step-by-step explanation:
calculator
Find the length of AD
Answer:
What is the length of the BC line? It is not clear in the figure
Answer:
x=1
Step-by-step explanation:
as the two triangles are similar
So the equation is
5+x/12=5/10
50+10x=60
10x=60-50
10x=10
x=10/10
therefore
x=1
Which function represents the area with respect to time?
Simplify this expression using the distributive property
Answer:
When you use the distributive property, you multiply the two numbers together, just like simplifying any product. You will also see another example where the expression in parentheses is subtraction, rather than addition. You will need to be careful to change the sign of your product.
Step-by-step explanation:
[tex]\huge\boxed{\bold{\mathfrak{Hello\;there!}}}}}[/tex]
The Distributive Property states that
[tex]\dashrightarrow[/tex] [tex]\bold{a(b+c)=ab+ac}[/tex]
[tex]\dashrightarrow[/tex] We multiply a by b and c, and then add the two products.
Example:
[tex]\dashrightarrow[/tex] [tex]\bold{10(x-3)}[/tex]
[tex]\dashrightarrow[/tex] [tex]\bold{10x-30}[/tex]
[tex]\bold{I\;really\;hope\;it\;helps\;you!}[/tex]
[tex]\rm{Have\;a\;great\;day![/tex]
[tex]\boxed{AmiableTeen:)}[/tex]
Please help me answer number 12
Answer:
It is same.
The PS and RS leg which has the same length allow the use of HL by providing the same degree of angle.
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The following graph represents the cost and revenue functions for custom-made computers. How many computers
have been sold at the break-even point?
a 12
b 9
C 5
d. 0
Answer:
A. 12
Step-by-step explanation:
(05.01)
The graph of a system of equations with the same slope and the same y-intercepts will
have no solutions. (1 point)
O Always
Sometimes
O Never
Help ASAP
Answer:
Always
Step-by-step explanation:
Answer:
never.
Step-by-step explanation:
Find the greatest common factor (GCF) for each number set. 56,63
1. 1
2. 6
3. 7
If the production rate is 1,325 cookies per hour at a bakery, how many cookies will be produced in an 8 hour shift?
Answer:
10,600 cookies will be made in 8 hours
Step-by-step explanation:
1325 × 8 = 10,600
What would the graph of x > 5 look like?
Answer:
It will look like this
I need help On This !!!!!!!!
Answer:
Step-by-step explanation:
L'= 3, -3 M'= -3, -6 N'= -3, 3
what is 9.8846387057 to the nearest whole number
Answer:
10
Step-by-step explanation:
The . 8 would round up making the 9 a 10
So the answer is ten
Answer:how many total ounces are in this container?
Step-by-step explanation:
solve the equation
pls help
Kayla has a older sister and a younger sister. her older sister is one year more than twice Kayla's age. Kayla's younger sister is three years younger than she is. the sum of their ages is 26. find Kayla's age
Answer:
x= kaylas age
older sister: 2x+1
younger sister: x-3
x+2x+1+x-3=26
4x-2=26
4x=28
x=7 years old
Step-by-step explanation:
The bottom of a ladder leaning against a wall is 1.5 m from the bottom of the wall. The ladder is 5.5 m long. Find how high the top of the ladder is above the ground, correct to one decimal place.
A. 5.8 m
B. 5.7 m
C. 5.2 m
D. 5.3 m
Answer: D. 5.3 m
Step-by-step explanation:
The ladder leaning against the wall causes it to forma right angle.
The right angle has two sides , which is the two legs, and the hypotenuse.
Using the formula a^2 + b^2 = c^2 , a and b are the two legs and c is the hypotenuse. In this case, a will be the wall, b will be 1.5 m and the ladder which is 5.5 m will be the hypotenuse.
Input the values for a and c to sole for b using the formula.
1.5^2 + b^2 = 5.5^2
2.25 + b^2 = 30.25
-2.25 -2.25
b^2 = 28
b = [tex]\sqrt{28}[/tex]
b = 5.2915 rounded to one decimal place is the same as rounding it to the nearest tenth, and 5.29 rounded to the nearest tenth is 5.3.
Height of top of ladder above the ground that is resting on the wall, correct to one decimal place is 5.3 m
hence option D is correct.
According to Pythagoras theorem
In a right triangle
[tex]\rm H^2 = P^2 + B^2[/tex]
[tex]\rm P = \sqrt {H^2 - B^2 }.........(1)\\where \\H = Hypotenuse \; of \; right\; triangle\\B = Base\; of \; the \; right\; triangle \\P = Perpendicular \; of \; the\; right\; triangle[/tex]
In the given situation the the ladder forms the right triangle with the wall
Length of the ladder = 5.5 m
Length of the base of ladder from the wall = 1.5 m
Let K be the height of top of ladder above the ground that is resting on the wall.
Hence from equation (1) we can write
[tex]\rm K = \sqrt{5.5^2 - 1.5^2} = \sqrt{28} = 5.291 \approx \bold{5.3}[/tex] m
Height of top of ladder above the ground that is resting on the wall, correct to one decimal place is 5.3 m
hence option D is correct.
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the product of two rational numbers is -14/45. If one of the no. is -7/9 find the other no.
pls pls i want this ans. fast
Answer:
its 2/5
Step-by-step explanation:
-7/9 x 2/5 = -14/45
Answer:
14.45/7.9=1.82...this is your answer
Write the word sentence as an equation. Then solve. The sum of a number y and −3 is −8.
need asap
Answer:
y + (-3) = -8
Step-by-step explanation:
i just know
pls mark branliest
10x=6x-24
help!!!! me pleasee!!
Answer:
x = -6
Step-by-step explanation:
10x = 6x - 24
Subtract 6x from both sides.
4x = -24
Divide both sides by 4.
x = -6
Please help me with this problem!!! I have been trying to figure it out for the past hour and I still can’t figure it out. Thanks for your help and have a nice day!!!
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[tex] \frac{ {6}^{8} \times {6}^{3} }{ {6}^{5} } = \\ [/tex]
[tex] \frac{ {6}^{8 + 3} }{ {6}^{5} } = \\ [/tex]
[tex] \frac{ {6}^{11} }{ {6}^{5} } = \\ [/tex]
[tex] {6}^{11} \times {6}^{ - 5} = [/tex]
[tex] {6}^{11 - 5} = [/tex]
[tex] {6}^{6} [/tex]
Thus ;
[tex] {6}^{[6]} \\ [/tex]
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Express Jenny's age in terms of a if jenny is three years less than half of Anne's age
Express Fraz's age in terms of a if Fraz is twice the sum of Anne's age and 7
what is the value of this expression below when w=10 and x=7
10w-7x
Answer:
=51
Step-by-step explanation:
10w - 7x
10(10) - 7(7)
100 - 49
=51
What is the domain and range please?
Answer:
domain is all the values that go into a function, and the range is all the values that come out.
Answer:
Domain: -6 <= x <= 3 and Range -9 <= y <= 5
Step-by-step explanation:
Domain is x
Range is y
(x, y)
The smallest x is -6
The largest x is 3
The smallest y is -9
The largest y is 5
what is the slope of (4,9)
Answer:
hope it helps..
Step-by-step explanation:
Using the slope-intercept form, the slope is 0 .
A speed skater completers a 500-meter race in 40 seconds. A cheetah runs 260 meters in 10 seconds. How do their speeds compair? Find the number of meters a speed skater and a cheetah travel in one second.
A speed skater travels ___ meters per second.
A cheetah travels ___ meters per second.
Answer:
A speed skater travels 12.5 meters per second
A cheetah travels 26 meters per second
Step-by-step explanation:
To find their speeds, divide the number of meters by the number of seconds:
Speed skater:
500/40
= 12.5 meters per second
Cheetah:
260/10
= 26 meters per second
So, a speed skater travels 12.5 meters per second and a cheetah travels 26 meters per second.
Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = x – 4
h(x) = three-quartersx
h(x) = one-quarterx
By definition, the correct answer is the last option: the inverse of the function f(x) = 4x is h(x)= [tex]\frac{1}{4}[/tex]x.
Definition of inverse functionThe inverse or reciprocal function of f(x) is called another function f⁻¹(x) that satisfies: If f(x)=y , then f⁻¹(y)=x.
To build or calculate the inverse function of any function, one of the ways to do it is to interchange the variables x and y, and use a combination of algebraic methods in order to isolate the variable "y".
Inverse of f(x)=4xBeing f(x)=y=4x, to calculate the inverse, in first place you interchange the variables x and y:
f(y)=x=4y
Isolating the variable y, you get:
h(x)=x÷4= [tex]\frac{1}{4}[/tex]x
Finally, the correct answer is the last option: the inverse of the function f(x) = 4x is h(x)= [tex]\frac{1}{4}[/tex]x.
Learn more about the inverse of a function:
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