We have been given that the graph of [tex]F(x)[/tex] has the same shape as the graph of [tex]G(x)=x^2[/tex], but it is flipped over the x-axis and shifted down 1 unit. We are asked to find the equation of [tex]F(x)[/tex].
We will use transformation rules to solve our given problem.
The rule of reflection of a graph about x-axis is [tex]f(x)\Rightarrow -f(x)[/tex].
Let us find [tex]-G(x)[/tex] as:
[tex]-G(x)=-(x^2)=-x^2[/tex]
Now we will shift our graph 1 unit down.
[tex]f(x)-a\Rightarrow\text{Graph shifted downwards by a units}[/tex], where a is a positive number.
This is same as subtracting 1 from [tex]-x^2[/tex] as:
[tex]F(x)=-x^2-1[/tex]
Therefore, our required function would be [tex]F(x)=-x^2-1[/tex].
A parallelogram has an 8 inch base if the parallelogram has an area of 64 square inches, what is the height of the parallelogram?
Answer:
8 in
Step-by-step explanation:
The way you get the area of a parellelogram is the same as the way of a rectangle or square.
Answer: 8 in
Step-by-step explanation:
Height = area / base
= 64/8
= 8 inches
The difference when 7 less than a number is subtracted from twice the number is 12. What is the number?
Answer:
5
Step-by-step explanation:
2x - ( x - 7 ) = x + 7
x + 7 = 12
x = 12- 7 = 5
the number is 5
pls helppp
The slope of the line segment joining the points (2, 3) and (2, -6) is undefined.
a)True b) False
Answer:
True
Step-by-step explanation:
The points (2,3) and (2,-6) are undefinable because it makes a vertical line. The slope cannot be defined.
What is the value of this expression when c= -4 and d = 10?
1/4(c3+d2)
The value of the expression using BODMAS rule is 9.
What is simplification?
To simplify the arithmetic expression involving more operators, we need to use BODMAS rule. The full form of BODMAS is Brackets (Parts of a calculation inside the bracket always come first), Precedence of brackets are : [{(bar)}], Orders (powers and square roots), Division, Multiplication, Addition, Subtraction.
For the given situation,
The values are c = -4, d = 10
The expression is 1/4(c^3+d^2)
Substitute the above values,
⇒ [tex]\frac{1}{4}(c^{3}+d^{2} )[/tex]
⇒ [tex]\frac{1}{4} (-4^{3} +10^{2} )[/tex]
⇒ [tex]\frac{1}{4}(-64+100)[/tex]
⇒ [tex]\frac{1}{4}(36)[/tex]
⇒ [tex]9[/tex]
Hence we can conclude that the value of the expression using BODMAS rule is 9.
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Answer: 9
Step-by-step explanation:no clue how I got it but the test marked it correct
Toilet paper has been hard to find lately. You go to the store and are surprised to find that they have some toilet paper in stock. Now you have a different problem. There are two brands of toilet paper you can choose from, Roll A and Roll B. Which roll should you buy in order to get the most toilet paper? Round your answer to the nearest whole number.
Total Volume = (3.14) (2.5) ^2 (4.5) =
Subtract the middle rim.
V = (3.14 ) ( .75 ) ( 4.5 )
TOTAL VOLUME - MIDDLE PART VOLUME =
Answer:
77
Step-by-step explanation:
Total Volume = 88
Middle Part Volume = 11
Total - Middle = 77
help plz. question is in photo.
Answer:
A.) [tex]10\sqrt{5}[/tex]
Step-by-step explanation:
I'll explain rn hold up
Answer:
A.) [tex]10\sqrt{5}[/tex]
Step-by-step explanation:
Fist simplify [tex]40\sqrt{40}[/tex] :
[tex]40\sqrt{40}\\\\40\sqrt{4}\sqrt{10}\\\\40*2\sqrt{10}\\\\80\sqrt{10}[/tex]
Now simplify [tex]4\sqrt{8}[/tex] :
[tex]4\sqrt{8}\\\\4\sqrt{4}\sqrt{2} \\\\4*2\sqrt{2}\\\\8\sqrt{2}[/tex]
Insert both into expression:
[tex]\frac{80\sqrt{10}}{8\sqrt{2}}[/tex]
Simplify:
[tex]\frac{10\sqrt{10}}{\sqrt{2}}[/tex]
Rationalize:
[tex]\frac{\sqrt{2}}{\sqrt{2}}*\frac{10\sqrt{10}}{\sqrt{2}}\\\\\frac{10\sqrt{20}}{\sqrt{4}}\\\\\frac{10\sqrt{20} }{2}[/tex]
Simplify:
[tex]5\sqrt{20}[/tex]
Convert to simplest radical form:
[tex]5\sqrt{4*5} \\\\5\sqrt{4}\sqrt{5}\\\\5*2\sqrt{5}\\\\10\sqrt{5}[/tex]
:Done
Marco is going to a local fair. He spends $5 on admission to the fair. He wants to go on rides that cost $0.75 per ride. Write an inequality and solve it to find the maximum number of times that Marco can go on the rise if he wants to spend at most $35
What is the value of y in this triangle?
980
А.
124°
В. 98°
Ос. 56°
OD. 36°
Answer:
D.36
Step-by-step explanation:
you have to subtract them to get your answer.
If each quadrilateral below is a rectangle find the missing measure in #5
Answer:
What do you mean by #5?
Step-by-step explanation:
What if the value of x?
Answer:
x = 5
Step-by-step explanation:
This is a right triangle with hypotenuse x
We can use the Pythagorean theorem
a^2+b^2 = c^2
3^2+4^2 = x^2
9+16= x^2
25=x^2
Take the square root of each side
sqrt(25) = sqrt(x^2)
5 = x
Help me please help me helpm
Answer:
[tex]g(x) = {(x + 9)}^{2} [/tex]
Provide the reflected ordered pair for each of the given ordered pairs. Reflect the ordered pair ( − 4 , 5 ) across the y-axis Reflect the ordered pair ( 0 , 3 ) across the x-axis
Simplify
[tex](5 \frac{1}{6)6} [/tex]
Answer:
simplify the expression
exact form :
5/36
decimal form :
0.138
How many servings of
cups are in 33 cups of ice cream?
Answer:
I am 99% sure its 33 servings
Step-by-step explanation:
because the question says that "how many servings of cups are in 33 cups".
(hopefully im right) and HOPEFULLY THIS HELPS. : )
Name three exponent rules
Answer:
Quotient rules
Derivative rule
Negative exponents
hope this helps
What is the unit rate of 405 miles in 8 hours?
Answer:
50.625 miles per hour (mph)
Step-by-step explanation:
Step 1: Divide
405/8
= 50.625
mark as brainliest please, I need a few more :)
what is the sample size of a test containing 5 true or false questions probability
Answer:
20 to 25 questions would be the size of a math test
49 increased by twice a number m
Answer:
The third one I think
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
First -> twice m is -> 2m
Then
49 increased so -> 49+2m
Solve by completing the square:
x2 + 3x – 9 = 0
Answer:
Step-by-step explanation:
x = 9/5
The solution of the equation [tex]x^2 + 3x - 9 = 0[/tex] by completing the square would be [tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex].
Used the concept of a quadratic equation that states,
An algebraic equation with the second degree of the variable is called a Quadratic equation.
Given that the equation is,
[tex]x^2 + 3x - 9 = 0[/tex]
Now completing the square as
[tex]x^2 + 3x - 9 = 0[/tex]
Add and subtract by 9/4,
[tex]x^2 + 3x + \dfrac{9}{4} - \dfrac{9}{4} - 9 = 0[/tex]
[tex]x^2 + 3x + ( \dfrac{3}{2})^2 - \dfrac{9}{4} - 9 = 0[/tex]
[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{9}{4}+ 9) = 0[/tex]
[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{45}{4}) = 0[/tex]
[tex](x + \dfrac{3}{2} )^2 = ( \dfrac{45}{4})[/tex]
Taking square root on both sides,
[tex](x + \dfrac{3}{2} ) = \pm ( \dfrac{\sqrt{45}}{2})[/tex]
Therefore, the solution of an equation is,
[tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex]
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What is the value of b? -8/5b = 8
Answer:
-0.2 or -2/10
Step-by-step explanation:
hope this helps
Solve this brain teaser, please!!!
Answer:
0 in the end they all burn out
Step-by-step explanation:
Answer: 10
Step-by-step explanation:
Express your answer in scientific notation. 1.4 x 10^9 - 8.6 x 10^8
Answer: 5.4 x 10^8 on Khan Academy
The scientific notation of the expression is,
⇒ 5.4 × 10⁸
What is Scientific notation?Scientific notation is a way of writing a very large or very small numbers. For example; 230,000,000 can be written in scientific notation as 2.3 x 10⁸.
Given that;
The expression is,
⇒ 1.4 x 10⁹ - 8.6 x 10⁸
Now, Simplify the expression as;
⇒ 1.4 x 10⁹ - 8.6 x 10⁸
⇒ 14 x 10⁸ - 8.6 x 10⁸
⇒ (14 - 8.6) × 10⁸
⇒ 5.4 × 10⁸
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Any help someone...
(solve triangles using the law of sines)
Answer:
I can't help
Step-by-step explanation:
I can't help
in your class 6 students do not receive weekly allowance. 16 students receive $4 3 students receive $10 and 6 students receive $5. What is the mean weekly allowance?
Answer:
4
Step-by-step explanation:
Rodney spun this five section spinner 80 times. The results of his spins are listed in the table below.
Identify the sample space using the first letter of the color in alphabetical order
{ , , , , }.
What is the theoretical probability for landing on blue?
%
What is the experimental probability for landing on yellow or white?
%
Answer:
Sample space: {B, G, R, W, Y}
20%
40%
Step-by-step explanation:
Theoretical probability of blue:
1/5 × 100 = 20%
Experimental probability (based on observation) of yellow or white:
(20+12)/80 × 100
32/80 × 100
40%
What is the volume of the rectangular pyramid shown below?
9 in.
8 in.
7
in.
Answer:
Step-by-step explanation:
To calculate the volume of a pyramid with a rectangular base, find the length and width of the base, then multiple those numbers together to determine the area of the base. Next, multiply the area of the base by the height of the pyramid. Take that result and divide it by 3 to calculate the pyramid's volume!
I cant do this until I know What number is what.
Which is length?
Which is height?
and which is width?
Answer:
Step-by-step explanation:b
How are the solution sets to s<3 and |s|<3 different ?
Answer:
The solution set for [tex]s<3[/tex] would be (-∞,3)
The solution set for [tex]|s|<3[/tex] would be (-3,3)
Step-by-step explanation:
The solution set for [tex]s<3[/tex] can be any number that is lower than 3.
When we have the inequality [tex]|s|<3[/tex], we need to rewrite this without the absolute values to find our answer
[tex]|s|<3[/tex]
[tex]s<[/tex] ± [tex]3[/tex]
This can be be split into [tex]s<3, s<-3[/tex]
But, there one thing that needs to be done to the inequality with the-3. As we multiplied it by a -1 to make it negative, we must reverse the sign of the inequality. This leaves us with [tex]s<3, s>-3[/tex]
Now, we can combine these to get one inequality
[tex]-3<s<3[/tex]
What type of function is represented?
Answer:
b
Step-by-step explanation:
ITS B NOT C ITS B ITS B ITS B.
Find the volume of the following cone. Use 3.14 for π.
Question 2 options:
9847.04 cubic meters
39388.16 cubic meters
10257.33 cubic meters
41029.33 cubic meters
Answer:
A. 9847.04 cubic meters
Step-by-step explanation:
Answer:
B; 39388.16 cubic meters
Step-by-step explanation:
I think the following information will make things clearer:
The formula for finding the volume of a cone is V = πr²h/3:
We can substitute our lengths to find out the volume.
[tex]28^{2} = 784\\48 \: \div \: 3 = 16\\16\: \cdot \: 784 \: \cdot \: 3.14\\= 39,388.16[/tex]
Thusly, the volume of the cone is [tex]\boxed{39,388.16}[/tex].
Hope this helps!! ((:
Solve for s.
9s = –10 + 10s
s = __
Answer:
10
Step-by-step explanation:
9s=-10+10s
Add 10 on both sides,
9s+10=-10+10s+1
9s+10=10s
Subtract 9s on both sides,
9s+10-9s=10s-9s
10=s
Therefore,s=10
