Answer:
[tex] g(x) = (x-2)^2 -6(x-2) +3[/tex]
[tex] g(x) = x^2 -4x +4 -6x +12 +3[/tex]
[tex] g(x) = x^2 -10 x +19[/tex]
[tex] g(x) = x^2 -10 x + 25 +19 -25[/tex]
[tex] g(x) = (x-5)^2 -6[/tex]
[tex] y= (x-h)^2 -kk[/tex]
Where h,k represent the vertex and we got:
[tex] (h,k)= (5,6)[/tex]
(5,6)
Step-by-step explanation:
We have this original function given :
[tex] f(x) = x^2 -6x +3[/tex]
And we want to find the vertex for this new function [tex] g(x) = f(x-2)[/tex] and we have:
[tex] g(x) = (x-2)^2 -6(x-2) +3[/tex]
And solving the square we got:
[tex] g(x) = x^2 -4x +4 -6x +12 +3[/tex]
And adding similar terms we got:
[tex] g(x) = x^2 -10 x +19[/tex]
Now we can complete the square like this:
[tex] g(x) = x^2 -10 x + 25 +19 -25[/tex]
[tex] g(x) = (x-5)^2 -6[/tex]
The general equation is given by:
[tex] y= (x-h)^2 -kk[/tex]
Where h,k represent the vertex and we got:
[tex] (h,k)= (5,6)[/tex]
(5,6)
A circle has a diameter of 12 inches. What is its area in terms of π?
6 π
36π
12 π
8 π
those are the the answers whichone is it
Answer:
36π
Step-by-step explanation:
Since you have to use terms of pi you just leave out pi out of the formula
A = πr² so it would be
A = r² Radius is half of diameter so half of 12 = 6
A = 6²
A = 36
Than you add pi
36π
Hope this helped
The variables x and y are related proportionally. When x = 6, y = 16. Find y when x = 33.
Answer:
y=43
Step-by-step explanation:
y=x+10
y=33+10
y=43
To find the value of y when x=33, knowing that x and y are directly proportional, we first calculate the proportionality constant from the given values and apply it to find y=88 when x=33.
The task is to find the value of y when x is given, knowing that x and y are directly proportional. Thus, we first find the proportionality constant using the given values of x=6 and y=16. The formula for direct proportionality is y = kx, where k is the proportionality constant. Solving for k we get k = y/x => k = 16/6. Once we have the value of k, we can find y for x=33 by rearranging the formula to y = (16/6) * 33.
After performing the calculation, we find:
k = 16/6y when x=33 is y = (16/6) * 33Therefore, y is 88 when x is 33, as they are directly proportional.
Tika purchased some fishing gear . She purchased a spinning combo rod and reel for $59.99 baits at $5.49 each, 3 lures for $3.89 each, and a landing net for $24.99. The sales tax rate is 7.0%. What is the total sales tax? What is the total purchase price?
Answer:
The tax is $ 7.15 and the total cost is 109.29
Step-by-step explanation:
1. Mr. Holloway is a craftsman who makes custom guitars by hand. His last order was for 2 guitars, and it took him 8 weeks to make them. He receives an order to make 7 guitars.If he makes the guitars at the same rate, how long will it take Mr. Holloway to make the guitars?
a=28
b=7
c=4
d=35
2. Solve for x : 4 x - 7 = 49
a=12
b=56
c=14
d=28
3. Michael ordered a chicken parm sandwich for $8, Xavier and Daniel both got a meatball sub for $7.75, and Tony got a veal parm for $9. Tony just got paid so he said the meal was on him as long as his friends took care of the tip. If they left an 18% tip how much would each of Tony's friends pay if they split it evenly?
a=$32.50
b=$5.85
c=$38.35
d=$1.95
4. Simplify: 5 * (10 * 6 + 9) - 9
a=345
b=336
c=291
d=741
Answer:
1) 28 weeks or A
2) 14 or c
Step-by-step explanation:
1) 8/2= 4
4 multiplied by 7 = 28
answer is 28
2) 4x-7=49
add 7 to both sides
4x=49+7
4x=56
divide 56 by 4
56/4=12
answer is 12
Answer:
28 weeks
Step-by-step explanation:
It takes Mr. Holloway 8 weeks to make 2 guitars. Write this as a rate.
8 weeks
2 guitars
Divide the numerator and denominator by 2 to find the unit rate.
8 weeks÷2
2 guitars÷2
=
4 weeks
1 guitar
It takes Mr. Halloway 4 weeks to make 1 guitar. You want to find how long it will take him to make 7 guitars. Write a proportion.
4 weeks
1 guitar
=
? weeks
7 guitars
Compare the denominators.
4 weeks
1guitar
=
? weeks
7guitars
To get from 1 to 7, multiply by 7. Multiply the numerator and denominator by 7 to find how long it will take Mr. Halloway to make 7 guitars.
4 weeks7
1 guitar7
=
28weeks
7 guitars
It will take Mr. Halloway 28 weeks to make 7 guitars.
What is the correlation coefficient for the data shown in the table?
A) 0
B) 1
C) 4
D) 5
Which equation has no real solutions?
A) -2x^2 = -168
B) 4x² + 76 = 32
C) 25x² = 1
D) 43 - X^2 = 12
PLEASE PLEASE PLEASE ANSWER ASAPPP !!! (20points)
Answer: [tex]-2x^2 + 10x-8[/tex]
Step-by-step explanation:
To find the product of the binomials, we first need to find the linear equations for the lines.
Using the rise over run method for f(x), we can see that the line rises 2 units for every 1 unit ran. 2/1 = 2, so we know the slope is 2, and we can see that the y-intercept on the graph is -2.
Equation: [tex]f(x) = 2x-2[/tex]
Using the rise over run method for g(x), we can see that the line rises -1 unit for every 1 unit ran. -1/1 = -1, so we know the slope is -1, and we can see that the y-intercept on the graph is 4.
Equation: [tex]g(x) = -x+4[/tex]
Multiplying the binomials:
[tex](2x-2)(-x+4)[/tex]
Use the FOIL method:
First: 2x * -x
Outside: 2x * 4
Inside: -2 * -x
Last: -2 * + 4
[tex]-2x^2+8x+2x-8\\\\-2x^2 + 10x-8[/tex]
Jamie was simplifying 2/3 divided 2 Which model best represents this expression?
Answer:
The first one?
Step-by-step explanation:
I have no idea. graphs are not one of my strong suits. This a guess. If I am wrong, I think it is the second one. I hope that this helps your situation.
PLEASE HELP FIRST ANWER WILL BE MARKED BRAINLIEST!!!
A linear relationship has __________ __________ ___ __________. *
Answer:
A linear relationship has a constant rate of change.
Step-by-step explanation:
Hope this helps!
You and some friends buy tickets to a raffle at your school. You can each buy one ticket. In total 150 tickets were sold. The probability that on of your friends win the raffle is 1/30. How many friends of yours bought tickets
Answer:5
Step-by-step explanation:
Given
There are total of 150 ticket
If the probability to win a raffle is [tex]\frac{1}{30}[/tex]
[tex]Probability =\frac{\text{Favorable outvome }}{\text{Total outcome}}[/tex]
[tex]\frac{1}{30}=\frac{\text{no of tickets bought}}{\text{Total no of tickets}}[/tex]
[tex]\frac{1}{30}=\frac{\text{no of tickets bought}}{150}[/tex]
no of tickets bought[tex]=\frac{150}{30}=5[/tex]
and no of tickets bought=No of friends
Therefore there 5 persons who bought tickets
A row of tiny red beads is placed at the beginning and at the end of a 20-centimeter bookmark
A row of the same beads is also placed every 4 millimeters along the bookmark
How many rows of the beads are used on the bookmark?
Enter your answer in the box
Answer:
There are 50 beads on the bookmark.Step-by-step explanation:
To know the number of rows of the beads are used on the bookmark, we just need to divide.
Notice that the bookmark is 20 centimeters long, and each bead is 4 milimiters. In order to divide, we need to transform centimeters to millimeters.
We know that 1 centimeter is 10 millimeters, that means 20 centimeters is 200 millimeters.
Then, the division is
[tex]\frac{200mm}{4mm} =50[/tex]
Therefore, there are 50 beads on the bookmark.
51 rows of beads are used on the bookmark.
To determine the number of rows of beads on the bookmark, we need to follow these steps:
1. Convert the length of the bookmark from centimeters to millimeters to match the unit of measurement for the spacing between rows of beads. Since there are 10 millimeters in a centimeter, the bookmark is [tex]\( 20 \text{ cm} \times \frac{10 \text{ mm}}{1 \text{ cm}} = 200 \text{ mm} \)[/tex] long.
2. Determine the distance between each row of beads. The problem states that there is a row of beads every 4 millimeters.
3. Calculate the number of intervals between the beads along the bookmark. To do this, divide the total length of the bookmark by the spacing between each row of beads: [tex]\( \frac{200 \text{ mm}}{4 \text{ mm/row}} = 50 \) intervals.[/tex]
4. Since we have an interval at each end of the bookmark where a row of beads is placed, we already have two rows of beads. For each interval between these end rows, there is an additional row of beads. Therefore, we have one more row of beads than the number of intervals.
5. Add one to the number of intervals to account for the starting row of beads: [tex]\( 50 \text{ intervals} + 1 = 51 \)[/tex] rows of beads.
Thus, there are 51 rows of beads used on the bookmark.
Which of the following statements is TRUE? a. If your original creditor (ex: credit card company) sells your debt to a collection agency, you no longer have to pay that debt -- it's been forgiven. bIf your original creditor (ex: credit card company) sells your debt to a collection agency, you are still required to pay off that debt. c. your original creditor (ex: credit card company) your debt to a collection agency, you have a grace period before you have to start making payments again. d. If your original creditor (ex: credit card company) sells your debt to a collection agency, the full debt becomes due immediately
Answer:
the answer is d
Step-by-step explanation:
i just know its fine.
Answer:b
Step-by-step explanation:
PLEASE HELP ASAP
what is the slope of the line?
Answer:
-2/3
Step-by-step explanation:
To find the slope of a line, find the difference between two points. The distance between (3, 3) and (0, 5), for example, is x = 3 and y = -2. Since we are determining slope, y must be over x. Therefore, the final answer is -2/3.
what is the area of this triangle ?!
Answer:
35.
Step-by-step explanation:
To find the area, multiply the length and the width.
A = L x W
7 x 5 = 35
Answer:
The area of the rectangle is 35 therefor the triangle is 17.5
Step-by-step explanation:
Area of the rectangle is wl = 7 x 5 = 35
To find area of a triangle you divide by half
35 ÷ 2 = 17.5
Anyone know this? Please Help...
Answer:
Red
Step-by-step explanation:
1 and 7 are alternate exterior angles which are always Congruent
Answer:
I believe the answer is 'They are congruent and supplements to the angle measurement 115 degrees.
Step-by-step explanation:
They are congruent angels because they are the same angle and Supplement angles are angles which add up to 180.
If f(x) = x2 – 2x, find:
f(0) = [? ]
Answer:
2
Step-by-step explanation:
Answer:
f(0) = 0
Step-by-step explanation:
PLEASE HELP!
The original price of a dress is $50, and the discount is 15% off. Whats the sale price?
Answer:
42.5
Step-by-step explanation:
Answer:
$42.5
Step-by-step explanation:
$50-15%=42.5 or $42.5
I'm sure.
Hope this helped lots and lots,
sincerely, me
Explain how leaders supported writers.
Answer:
A lot of money was spent to support writers to create literature.
Step-by-step explanation:
The coordinates of the vertices of quadrilateral CDEF are C(6, 6), D(6, 8), E(8, 10), and F(10, 8). The figure is rotated 90° about the origin. What are the vertices of the resulting image, Figure C’D’E’F’? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all.
-10, -8, -6, -4, -2, 2, 4, 6, 8,10
C’( ____ ), D’(._____), E’(.____ ), F’(_____)
Answer:
see explanation
Step-by-step explanation:
Under a rotation about the origin of 90°
a point (x, y ) → (- y, x ), thus
C(6, 6 ) → C'(- 6, 6 )
D(6, 8 ) → D'(- 8, 6 )
E(8, 10 ) → E'(- 10, 8 )
F(10, 8 ) → F'(- 8, 10 )
1. Use the diagrams to compare the two sectors. Select the correct answer
A. Region A is larger
B. Region B is larger
C. Areas are the same for both
D. Not enough information
Answer:
B. Region B is larger
Step-by-step explanation:
its have a bigger area then A
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⊕ΘΞΠΤ⊕
∵∴∵∴∵∴∵∴∵
Answer:
B is the correct asnwer! if i am wrong then c is correct
Step-by-step explanation:
Find the unit rate.
$5.00 for 2 T-shirts
A: $2.50 per T-shirt
B: $1.50 per T-shirt
C: $3.50 per T-shirt
Answer:
A
Step-by-step explanation:
2.50 x 2 = 5.00
Answer:
A
Step-by-step explanation:
$5.00 divided by 2 which would equal 2.50 (unit rate)
11.6 + x ≥ 4.8
A
x ≥ 6.8
B
x ≥ -6.8
C
x ≥ -7.8
D
x ≤ 7.8
Answer
The answer is B
Step-by-step explanation:
Its correct
Answer:
The answer is B.
Step-by-step explanation:
In order to solve x, you have to make x the subject by substracting 11.6 to both sides:
[tex]11.6 + x \geqslant 4.8[/tex]
[tex]11.6 + x - 11.6 \geqslant 4.8 - 11.6[/tex]
[tex]x \geqslant - 6.8[/tex]
If a student did not travel to a Spanish-speaking country, how many times more likely is it that the student did not take Spanish?
It is 22 times as likely.
It is 9 times as likely.
It is 4.5 times as likely.
It is 2.2 times as likely.
Answer:
It is 2.2 times as likely.
Are the two triangles below similar?
Answer:
No. the b and c angle is 65 and the e and f angle is 85. different sizes.
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
hope we can be friends
can i please get brainliest
1. When Mrs. Weeks bought all of the baseballs and softballs, she paid
for them using four $100.00 bills. How much change did she receive?
2.. Write expressions that include parentheses and order of operations to
show how to find the answer. Show your work.
3.After school began, Mrs. Weeks realized that she needed more
basketballs and footballs. If she spent $135.00 on basketballs and
$48.00 on footballs, how many more balls did she purchase?
4.Write expressions the include parentheses and order of operations to
show how to find the answer. Show your work.
The ball costs $0.05 and the bat costs $1.05. We derived these amounts by setting up an equation based on the given information that the total cost is $1.10 and the bat costs $1 more than the ball, then solving for the ball's price.
To answer the classic problem about the cost of a bat and ball, let's denote the cost of the ball as 'x' dollars. Since the bat costs $1 more than the ball, the cost of the bat is 'x + $1.00'. The total cost is $1.10, and we know the sum of the bat and ball together is:
x + (x + $1.00) = $1.10
To find the value of x, solve the equation:
2x + $1.00 = $1.10
Subtract $1.00 from both sides to isolate the term with x:
2x = $0.10
Divide both sides by 2 to find the cost of one ball:
x = $0.05
So, the ball costs $0.05 and the bat costs $1.05 since it's $1.00 more expensive than the ball.
ASAP. Which are potential sources of error in the experiment? Check all that apply. variable amounts of metal and magnetic properties of a material holding the compass at an angle the color of the bar magnet unseen magnetic fields (such as from an electrical appliance) the brand of light bulb used in the circuit using a dead battery in the circuit
Answer:
a, b, d, f
Step-by-step explanation:
1. E
2. D
3. G
4. E
5. N
6. U
7. I
8. T
9. Y
Answer:
abdf
Step-by-step explanation:
If three times a number plus four is no more than four times the number minus one, which of the
following are true? Let z represent the number.
Z>5
Z25
ZS5
The number is at least 5.
The number is at most 5.
Answer:
Step-by-step explanation:
3z+4≤4z-1
3z-4z≤-1-4
-z≤-5
z≥5
sol.
The number is at least 5
what is 4^6 . 4^6 please help
Answer:
4^12 or 16777216
Step-by-step explanation:
4^6* 4^6
We can symplify 4^6* 4^6
Since they both have the same base, we can add there exponent:
4^6* 4^6= 4^12
4^12 equals to 16777216
Please help with this and PLEASE show how you got the answers. Here is some background help down below.
#1 Use proportions to find the answer. Write the given ratio on the left, equal sign in the middle, and given number on the right then cross multiply and divide to find the missing value. Remember for #2 the higher ratio will be the greater decimal number.
Answer:
1. 75
2. Cornbits
Step-by-step explanation:
1. 12/100 = 9/x
x = 75
2. Tasty Oats || 100/12 = 8.33g protein/gram cereal
Cornbits || 45/5 = 9g protein/gram cereal
Answer:
1 is 75 grams of tasty oats
2 is tasty oats because 6 grams of protein for 50 grams of cereal and 5 grams of protein for 45 grams of cereal dor cornbits.
Which of the following best describes a rational exponent?
O
A. An exponent that has the form m-n, where mand n are integers
O
B. An exponent that has the form
where mand n are integers
O
C. An exponent that has the form m+n, where mand n are integers
O
D. An exponent that has the form mn, where mand n are integers
An exponent that has the form m/n where m and n are integers. So, this describes a rational exponent.
What are rational exponents?Rational exponents are those exponents numbers that are expressed as a rational number in the form of [tex]a^{m}[/tex] where m is a rational number.
An exponent of a rational number m that is in the form of p/q.
An exponent that has the form m/n where m and n are integers. So, this describes a rational exponent.
Learn more about rational numbers;
https://brainly.com/question/1310146