Answer:
The option which is:
On a coordinate plane, a parabola opens up. It goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10).
Step-by-step explanation:
At first we should know the rules of translation
1) {f(x) + a} is f(x) shifted up (a) units
2) {f(x) – a} is f(x) shifted down (a) units
3) {f(x + a)} is f(x) shifted left (a) units.
4) {f(x – a)} is f(x) shifted right (a) units.
Given:
f(x) = x²
g(x) = (x-5)² + 1
By comparing [ the translation from f(x) to g(x) ] with the rules of translation
We can deduce that g(x) is the image of f(x) by translation 5 units right and 1 unit up ( rules 1 and 4)
See the attached figure which represent the graph of f(x) and g(x)
As shown g(x) goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10)
Betty sets up a lemonade stand and charges $1 per glass. It cost her $50 to set up the stand. Which function gives the profit, p, she makes by selling g glasses of lemonade?
Answer:
Profit = $1 x Quantity - $50
What is the difference of 6 and 2 1/5?
Answer:
3 4/5
Step-by-step explanation:
6- 2 1/5= 5 5/5-2 2/5= 3 4/5
Question is down below:
Answer:
x=16°
x+46°=62°(The external angle formed by the base of a triangle is equal to the sum of the two intersecting angles.)
x=62°-46°
x=16°
32, 27, 29, 24, 26, 21, 23 , _____
Answer:
18
Step-by-step explanation:
21 - 3 = 18
Numbers 1, 3, 5, 7 go down in 3s
Numbers 2, 4, 6, and 8 go down in 3s
If you need further explanation, let me know!
- profparis
Answer:
18
Step-by-step explanation:
Let's first find out the pattern
32-27 = 5
29 - 27 = 2
29 - 24 = 5
24 - 26 = 2
26 - 21 = 5
21 - 23 = 2
23 - 18 = 5
Pattern = Subtract 5 , Add 2
Since at 23 - 18 = 5
Therefore the next one is subtract 5
Hence, 23 - 5 = 18
[RevyBreeze]
m) A twelve-metre length of rope is cut into two, so that one
piece is three times as long as the other. How long is the shorter
piece?
Answer:
A four-meter long rope
Step-by-step explanation:
4 * 3 = 12
Answer:
I think its 11
Step-by-step explanation:
solve for x picture is not drawn to scale
(will give brainliest)
Answer:
[tex]\tt x= 62.5[/tex]
Step-by-step explanation:
[tex]\tt x+5+x+7+(180-137)=180[/tex]
[tex]\tt x= 62.5[/tex]
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Find the equation of a line that passes through the point (1,-4) and has a gradient of -3. Leave your answer in the form y=mx+c
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-4})\qquad \qquad \stackrel{slope}{m}\implies -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{-3}(x-\stackrel{x_1}{1}) \\\\\\ y+4=-3x+3\implies y=-3x-1[/tex]
Find the 9th term of the geometric sequence 10,40,160,...
Answer:
the sequence:
10 , 40 , 160 , 640 , 1280 ,2560 , 10240 , 40960 and 163840
15 POINTS PLEASE HELPP
[0,2]
[2,6]
[6,10]
You randomly pull two bills, what is the probability that they are both $20?
Answer:
Depends on the pool you are pulling them from.
There are currently 11 different denomination accessible.
That would be 1 out of 11.
But considering that 4 of those bills are uncommon, the odds become 1 out of 7
Then to pull 2 of the same would mean you multiply 1/11 by 1/11 = 1/121
for the 1/7 it would become 1/49
The function f(x)= x2 has been translated 9 units up and 4 units to the right to form The Function g(x). Which represents g(x)
Answer: The third choice is the answer.
Step-by-step explanation:
If the original function is x^2, then to translate it 4 units to the right you need (x - 4)^2, and if you want to translate it 9 units up you simply add +9 outside the parenthesis.
What is the circumference of a circle with a radius of 3.6 units,I don’t really know how to do this because I’m new to this kind of math.
Answer:
22.608 units
Step-by-step explanation:
Basically, the circumference of a circle is the distance around a circle, sort of like the perimeter of a figure. It has a unique formula which is [tex]C=2\pi r[/tex] where [tex]r[/tex] is the radius, which is the distance between the circle and its center. Using our given information, we can find the circumference:
[tex]C=2\pi r\\C=2(3.14)(3.6)\\C=22.608[/tex]
Therefore, the circumference of a circle with a radius of 3.6 units is 22.608 units.
Answer:
Circumference is...
22.608Step-by-step explanation:
Multiply the radius by 2 to get the diameter.
Multiply the result by π, or 3.14 for an estimation.
That's it; you found the circumference of the circle.
Hope it helps!!!!!brainliest pls!!!!!!!!dont worry I already took this lesson.
what is 3⁵÷3⁷ using indicies?
Answer:
9
Step-by-step explanation
First you multiply 3 five times, then you multiply 3 seven times and you divide the results of each multiplication
Answer:
0.111111111111111
Step-by-step explanation:
=> 3⁵÷3⁷
Note 3⁵ means multiplying 3 five times
And 3⁷ means multiplying 3 7 times
=> 3×3×3×3×3÷3×3×3×3×3×3×3
multiply the values and then divide
=> 243÷2,187
divide 243 by 2187
=> 0.111111111111111
The art club had an election to select a president. 75% of the 60 members of the club voted in the election.How many members voted?
Answer:
45 people
Step-by-step explanation:
It appears that I know the answer to this question.
Please help me Quick!!
Amelia needs to buy some dog food. At the nearest store, 3 bags of dog food cost $11.25. How much
would Amelia spend on 6 bags of dog food?
Amelia would spend $
on 6 bags of dog food.
Step-by-step explanation:
She's buying twice the bags
So for 2(3) bags, it will cost 2(11.25)
This $22.50
Directions: Fill in the missing words to complete the meaning. Choose your answer
from the choices given inside the box. Copy and answer on a sheet of paper.
decimal point
hundred
lowest
numerator
percent
Percent means per (1)
Percent can be written as a ratio with 100 as
the second term or a fraction with 100 as the denominator. It can also be written as
decimal number
To change percent to fraction, remove the percent sign and write the number as
the (2), then write 100 as denominator. Change the fraction to (3)
term
In writing percent to decimal, remove the percent sign, then move the (4)
twice to the left. In changing decimal to (5)
we move the
decimal point twice to the right and affix the percent sign.
Answer:
(1) Hundred
(2) Numerator
(3) Percent
Step-by-step explanation:
What is the cost, in dollars, of the minimum number of boxes needed to total 48 ounces of pasta?
Answer:
The minimum number of boxes needed is and the cost is
Step-by-step explanation:
step 1
Find the cost of one box
by proportion
step 2
Find the number of boxes for 48 ounces of pasta
by proportion
step 3
Find the cost of 4 boxes
we know that
The cost of one box is
so
The cost of 4 boxes is
Answer:
1.92
Step-by-step explanation:
This should be a part be so it's 48/25=1.92
A library has an aquarium in the shape of a rectangular prism. The base is 6 ft by 2.5 ft. The height is 4 ft. How many square feet of glass was used to build the aquarium?
Step-by-step explanation:
Solve the problem step by step.
First,
Base area: 6 * 2.5 = 15
Then,
The area of the two smallersides:
2.5 * 4 = 10
10 * 2 = 20
After that,
The area of the two larger sides:
6 * 4 = 24
24 * 2 = 48
After all of the calculations, you add all of the sums up:
15+20+48
Which equals 83.
The equation form for this problem would be:
(6*2.5) + 2(2.5*4) + 2(6*4) = 83
Hope this helps and it wasn't too confusing!
what is the range of 2 4 2 6 1
Answer:
Population size:5
Lowest value: 1
Highest value: 6
Range: 5
Thanks!
The equation of a line is y = 3 - 4x What is the y-intercept of the line?
help :')
Answer:
y-intercept is 3
The point where the line intercepts the y-axis is (0, 3)
Step-by-step explanation:
Slope-intercept form of a linear equation: [tex]y=mx+b[/tex]
(where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept)
Given equation of line: [tex]y=3-4x[/tex]
Rearrange: [tex]y=-4x+3[/tex]
Therefore, the slope of the line is -4 and the y-intercept is 3.
FYI the line intercepts the y-axis when x = 0, so you can input x = 0 into the equation to find y ⇒ (0, 3)
Answer:
The y-intercept of the line is 3.
Step-by-step explanation:
Formula: y = mx + b
y = 3 - 4x
y = -4x + 3
On the formula, "b" means y-intercept. Therefore, the y-intercept of the line is 3.
The length of a rectangle is 5 meters less than its width. The perimeter is 78 meters. Find the dimensions of the rectangle
Answer:
above is the solution to the question
Cos^2x + tan^2x cos^2x = 1
I need help verifying the trig function with steps.
Step-by-step explanation:
answer is provided in picture
The relative frequency of Event A in an experiment is 20%. If the experiment is performed 40 times, how many times should you expect Event A to occur?
Enter your answer as a number, like this: 42
Step-by-step explanation:
look at a die, for example.
the probabilty to roll a 6 is 1/6 (if all numbers truly have the same probability due to a perfectly balanced die).
so, you expect as a mean value that you have to roll the die 6 times to get one 6.
now in our general example :
20% = 1/5
so, we expect event A to happen once as a mean value every 5 attempts.
now we do 40 attempts. that means 8×5 sets of attempts.
and we therefore expect to see event A 8 times.
What is the equation for g(x)g(x)g, left parenthesis, x, right parenthesis ? Choose 1 answer: Choose 1 answer: (Choice A) A g(x)=\left|x+0.2\right|g(x)=∣x+0.2∣g, left parenthesis, x, right parenthesis, equals, open vertical bar, x, plus, 0, point, 2, close vertical bar (Choice B) B g(x)=|x-0.2|g(x)=∣x−0.2∣g, left parenthesis, x, right parenthesis, equals, vertical bar, x, minus, 0, point, 2, vertical bar (Choice C) C g(x)=-0.2|x|g(x)=−0.2∣x∣g, left parenthesis, x, right parenthesis, equals, minus, 0, point, 2, vertical bar, x, vertical bar (Choice D) D g(x)=0.2|x|g(x)=0.2∣x∣
Answer:
How do the graphs of the functions f(x) = ()x and g(x) = ()x compare? The graphs are reflections of each other over the y-axis. The graph of g(x) shows exponential decay, while the graph of f(x) shows exponential growth.
Answer:
C
Step-by-step explanation:
40 points! First answer gest brainliest! A 9th grade teacher at a local high school wants to know which subject the 9th grade students in school like the best.
Which group of people should make up a sample that will best answer her question?
A. Other 9th grade teachers in her school
B. Parents of 9th graders in her school
C. 9th graders in her school
D. 9th graders in her homeroom
Answer
9th graders in her school
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A is wrong because the teachers are not in 9th grade.
B is wrong because parents are not in 9th grade
D is wrong because the homeroom does not represent the entirety of 9th grade
-4(1.75+x)=18 show your work
Answer:
x = -6.25
Step-by-step explanation:
-4(1.75+x)=18
-7 - 4x = 18
-4x = 25
x = -6.25
Have an amazing day!!!
PLEASE RATE AND MARK BRAINLIEST!!!
Answer:
x = -6.25
Step-by-step explanation:
-4(1.75+x)=18
-7 -4x = 18
+7 +7
-4x = 25
/-4 /-4
x = -6.25
The roots of a quadratic equation are 4 and -5. Which quadratic equation has these roots?
Answer:
(x-4)(x+5) or x^2+x-20
Step-by-step explanation:
If a root of the function is 4, (meaning that when y=0, x=4) it can be rewritten as x-4.
The same goes for if a root is -5. it will simplify to x+5.
These are called factors of a quadratic equation.
Put together, they look like (x-4)(x+5). Using the FOIL method, that can be simplified to x^2+x-20
Answer:
Standard Form: [tex]y = x^2 + x - 20[/tex]
Factored Form: [tex]y = 1(x -4)(x +5)[/tex]
Step-by-step explanation:
Hello!
We can utilize the factored form of a quadratic to find the equation.
Factored Form of a Quadratic: [tex]y = a(x -h)(x - k)[/tex]
h and k are the rootsWe simply plug in the values of the roots and expand to find the equation. Replace "a" with 1.
Expand[tex]y = a(x +h)(x + k)[/tex][tex]y = 1(x -4)(x +5)[/tex][tex]y = 1(x^2 + x - 20)[/tex][tex]y = x^2 +x - 20[/tex]The quadratic equation [tex]y = x^2 + x - 20[/tex] has the roots 4 and -5.
Write an equation of the line that passes through point (2,-4) and has the slope m= 1/2
y =
Answer:
tHe can discuss intelligently the current political affairs. Television is a machine that ought to be used intelligently. It is necessary to think intelligently before performing any action.
Step-by-step explanation:
Someone pls help?????????????????????????
Answer:
p=m*9+9
So 45/4=9
9*4=36
36+9=45
Check with table
5*9=45
45+9=54
6+9=54
63+9=63
7+9=63
63+9=72
So as you can se the equation is p=9*m+9
Hopes this helps!
Find the solution of the system of equations
Answer:
[tex]\boxed{\tt (-2,3)}[/tex]
Step-by-step explanation:
[tex]\tt -10x-5y=5\\ \underline{-4x+5y=23}\\-14x=28[/tex]
[tex]\tt x=-2[/tex]
[tex]\tt y=3[/tex]
[tex]\tt (x,y) --\: \boxed{\tt (-2,3)}[/tex]
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