Given:
The function is
[tex]f(x)=x^2[/tex]
This function is changed to f(x)+9.
To find:
The effect on the graph of the function.
Solution:
The translation is defined as
[tex]g(x)=f(x)+b[/tex] .... (1)
Where, b is vertical shift. If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
The new function is
[tex]g(x)=f(x)+9[/tex] ...(2)
From (1) and (2), we get
[tex]b=9[/tex]
So, the graph of f(x) shifts 9 units up as shown in the below graph.
Answer:
Step-by-step explanation:
I think this might help.
Solve the equation. -3x+2x=8
Answer:
= − 8
Step-by-step explanation:
Combine like terms
Divide both sides of the equation by the same term
Simplify
Please help me please please
Last question on my assignment need help. Find x.
Answer:
I think it would be 20 hope it helps and good luck
Step-by-step explanation:
Answer:
i think its at 21
Step-by-step explanation:
mr.wilkinson pours 2 cups of blue paint into a jar for each art station. How many jars can he fill with 1 gallon of blue paint
Answer:1 jar = 2 × 8 = 16 ounces. So, number of jars required to fill 1 gallon of blue paint is : Therefore, 8 jars are required to fill 1 gallon of blue paint.
Ten students each attempted 10 free throws. This list shows how many free throws each student made. 8 5 6 6 4 9 7 6 5 9 What is the median number of free throws made?
Answer:
six 6 is the median number i think
Step-by-step explanation:
2 quarts of paint equally into 6 containers how much paint in quarts into each container written as a fraction
Answer:
0.333 or 1/3
Step-by-step explanation:
2/6 = 0.333 = 1/3
Write the quadratic function 5x2 - 40x + 60 in its vertex form by completing the square. Then
identify its turning point.
9514 1404 393
Answer:
5(x -4)² -20turning point = (4, -20)Step-by-step explanation:
It can work well to factor the leading coefficient from the x-terms.
5(x² -8x) +60
Now, add the square of half the x-coefficient inside parentheses, and subtract the same amount outside parentheses.
5(x² -8x +16) +60 -(5)(16)
5(x -4)² -20 . . . . write as a square, simplify the added constant
The vertex form is ...
5(x -4)² -20
It shows you the vertex is (4, -20). This is the turning point.
_____
Vertex form is a(x -h)² +k, where (h, k) is the vertex.
I NEED HELP ASAP 50 POINTS!!!
Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms. x + 7 – 4x^3
Answer:
Step-by-step explanation:
Standard form: -4x³ + x + 7
Name of the polynomial:
Based on number of terms: 3 terms are there.
Trinomial
Based on degree:
Degree of the polynomial is 3
Cubic polynomial
Subject:Mathematics
Answer:
true sorry if wrong im not the best at this type of math but im average
Step-by-step explanation:
can I get help pls :')
Answer:
1.a: 6x = y
1.b: 7 packs
Step-by-step explanation:
1.a: there are 6 cups per can so if you multiply it for each can, you get the cups.
1.b: there are 16 cups per gallon. Packs of 4 cans so in total, there are 24 cups in total. So there are 1.5 gallons per pack. 1.5x6 = 90 so that's no enough. 1.5x7 = 10.5. That's more than enough but she can't split the pack so she needs to buy 7 packs.
7a + b - 12 wich is the coefficient?
What is the value of f(-3) when f(x)=5(2)
Answer:
a) 5/8
Step-by-step explanation:
f(-3) when f(x)=5(2)^x just replace the x with -3
f(x)=5(2)^x = 5 (2)^-3 we find the 3rd power of 2 first which means multiply 2 with itself 3 times
2×2×2 = 8 but here, it asks us for negative third power of 2 so we turn the 8 upside down :
if 2^3 = 8 then 2^-3 = 1/8 and now we multiply it with 5
5 × 1/8 = 5/8
Distribute
(x+4)(x-6)
a) x^2-2x-24
b) x^2-10x+24
c) x^2+10x+24
d) x^2-10x-24
Answer:
A) x² - 2x - 24
Step-by-step explanation:
(x+4)(x-6)
x² - 6x + 4x - 24
x² - 2x - 24
Are two congruent figures similar?Explain
Answer:
Ye cs they're both cong.
Step-by-step explanation:
Answer:
Which figures
Step-by-step explanation:
the elevator at an old hotel has a weight limit of 1200 pounds. Assume the average person weighs 150 pounds and has a 10 pound luggage. What is the greatest amount of people that can ride the elevator at the same time
A: 7 people
B: 9 people
C: 11 people
D: 13 people
Find the values of x and y
Please help me answer this
Answer:
Your answer would have to be Graph A
Step-by-step explanation:
Because it's properly set up
FIND THE AREA (LEAVE EXPLANATION)
Answer:
20 yd²
Step-by-step explanation:
lets do the big one
4 x (6-2) = 4 x 4 = 16 yd²
2 x (4-2) = 2x2 = 4 yd²
16 yd² + 4 yd² = 20 yd²
Another way
Find the area of the figure if it was a rectangle
4 x 6 = 24 yd²
then subtract 2 x 2 = 24 yd² - 4 yd² = 20 yd²
Answer:
20
Step-by-step explanation:
Solve the area of the squares separately, then add. the small square has a length and width of 2, and 2x2 is 4, so that area is 4. the bigger one has a length and width of 4, and 4x4 is 16, and then we add the two values together, and 16+4 is 20, so the total area is 20.
if 2 binders of the same size take up 3 inches on the shelf how much space will be needed for 28 of these binders?
Answer:
84
Step-by-step explanation:
28x3=84
I hope i did that right
please give me Brainliest you dont have to tho
A cake has two layers. Each layer
is a regular hexagonal prism. A slice removes one face of
each prism, as shown.
a. What is the volume of the slice?
b. What is the volume of the remaining cake?
Answer:
Volume of slice is 40 in³
Volume of the remaining cake is 197.014 in³
Step-by-step explanation:
hope this helps!!
brainliest please?
What is 1/2 to the power of 5??
Answer:
1/32
Step-by-step explanation:
Which equation is this model?
Write the ratio as a fraction in simplest form.
63 : 28
The ratio as a fraction in simplest form is
.
Answer:Thus, 9/4 is the simplified fraction for 63/28 by using the GCD or HCF method. Thus, 9/4 is the simplified fraction for 63/28 by using the prime factorization method. 94 is already in the simplest form. It can be written as 2.25 in decimal form (rounded to 6 decimal places).
The given ratio 63:28 can be expressed as the simplified fraction 9/4.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
The given ratio is following as:
63:28
To express this ratio as a fraction in simplest form, we can use the method of finding the greatest common divisor (GCD) or highest common factor (HCF) between the numerator and denominator.
The GCD/HCF of 63 and 28 is 7.
We can divide both the numerator and denominator by 7 to simplify the fraction:
⇒ (63 ÷ 7) / (28 ÷ 7) = 9/4
Therefore, the ratio 63:28 can be expressed as the simplified fraction 9/4.
Learn more about the fraction here:
brainly.com/question/10354322
#SPJ2
Work out the volume of this cylinder? 12m height and 5m radius
Answer:
942m³
Step-by-step explanation:
π×radius²×height
π×5²×12=942.4777961m²
to 3sf it's
942m³
3 significant figures is 3 numbers.
Question :-
What is the volume of a cylinder with a radius of 5 m and a height of 12 m?Answer :-
The volume of a cylinder is 942 m³.[tex] \rule{180pt}{4pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{5 \: m}}\put(9,17.5){\sf{12 \: m}}\end{picture}[/tex]
Solution :-
As per provided information in the given question, we have been given that the Radius of a cylinder is 5 meters. The height of a cylinder is 12 meters. We have been asked to find the volume of a cylinder.
To calculate the volume of a cylinder, we will apply the formula below :-
[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]
Substitute the given values into the above formula and solve for Volume :-
[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(5 \: m)^2(12 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(25 \:m^2)(12 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (78.5 \:m^2)(12 \:m)[/tex]
[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 942 \: m^3}[/tex]
Therefore :-
The volume of a cylinder is 942 m³.[tex]\\[/tex]
Learn more about the Volume of a Cylinder at https://brainly.com/question/15197979
Have a great day! <33
Need help with answers
helpppppppppp plzzzzzzz due in 20 min
Answer:
A. [tex]3<\sqrt{15} <4[/tex]
Step-by-step explanation:
First we need to know what [tex]\sqrt{15}[/tex] equals.
It equals around 3.87, which is more than 3 and less than 4.
Answer: It might be "A" i dont know.
Jennifer had $300.00 in her bank account she made a withdrawal of $500. what is her balance as an integer?
2/3(x - 6)=6 what is the value of x?
Answer:
15
Step-by-step explanation:
If 20 articles cost ? 90, then the cost of 9 articles is ?
Answer:
40.50
Step-by-step explanation:
1. 90 ÷ 20 = 4.50
2. 4.50 × 9 = 40.50
Solve for c, giving brainliest. please show your work/explain, i got to the point of square rooting 185, but i don't understand where to go from there if it cannot be simplified. Thanks.
Answer:
13.6 in (mrs clark)
Step-by-step explanation:
a²+b²=c²
16 + 169 = c²
c² = 185
c ≈ 13.6