Answers
Answer:
y = -2x² + 12x - 14
Step-by-step explanation:
Isolate the "-2" in (x - 3)² by using brackets:
⇒ y = -2(x - 3)² + 4⇒ y = -2[(x - 3)²] + 4Using the formula (a - b)² = a² - 2ab + b²:
⇒ y = -2[(x - 3)²] + 4⇒ y = -2[x² - 2(x)(3) + 3²] + 4Open the brackets on the R.H.S
⇒ y = -2[x² - 6(x) + 9] + 4⇒ y = -2x² + 12(x) - 18 + 4Simplify the expression on the R.H.S
⇒ y = -2x² + 12(x) - 18 + 4⇒ y = -2x² + 12x - 14Related Questions
A pizza shop sells 6 pizza rolls for 10.74. At this rate, in dollars and cents, how much would 9 pizza rolls cost?
Answers
Answer:
$16.11
Step-by-step explanation:
10.74÷6
times the number you get by 3
add that number to 10.74
Hey, help with my homework pls
(Find the missing value in each of the pairs of equivalent ratios below)
X/10 = 6/15
12/9 = 8/X
16/38 = 200/m
Answers
Answer:
4, 6, and 475
Step-by-step explanation:
See attached image.
4. Find the equation of the line that goes through the point (1.-1) and has a siope of 5.
y=x+5
y = 5x-1
y = 5x+1
y = 51-6
Answers
y=5x-6
Solution:First, let's write the equation of the line in Point-Slope Form:y-y1=m(x-x1)y-(-1)=5(x-1)y+1=5(x-1Convert into slope-intercept:y+1=5x-5y=5x-5-1y=5x-6Hope it helps.
Do comment if you have any query.
Proportions word problems Financial Algebra
1. Emily enlarged the size of a painting to a width of 15 in. What is the new height if it was originally 3 in. Wide and 4 in. Tall?
17 in.
5 in.
20 in.
23 in.
2. 20 Fuji apples cost $12. How many Fuji apples can you buy for $3?
8
5
7
1
3. The currency in Egypt is the Pound. The exchange rate is approximately $1 for every 6 Pounds. At this rate, how many dollars would you get if you exchanged 12 Pounds?
$72
$5
$6
$2
4. Mike was planning a trip to Jordan. Before going, he did some research and learned that the exchange rate is 3 Dinars for every $4. How many Dinars would he get if he exchanged $12?
9 Dinars
0 Dinars
14 Dinars
8 Dinars
5. If you can buy four bunches of seedless black grapes for $10, then how many can you buy with $5?
3
2
1
13
6. Ryan was planning a trip to Switzerland. Before going, he did some research and learned that the exchange rate is $3 to 4 Francs. How many Francs would he get if he exchanged $12?
16 Francs
14 Francs
9 Francs
6 Francs
7. Pranav took a trip to Jordan. Upon leaving he decided to convert all of his Dinars back into dollars. How many dollars did he receive if he exchanged 16 Dinars at a rate of 2 Dinars for every $3?
$10. 67
$24
$22
$20
8. The money used in Saudi Arabia is called the Riyal. The exchange rate is 7 Riyals = $2. Find how many Riyals you would receive if you exchanged $4.
18 Riyals
14 Riyals
1 Riyals
12 Riyals
Answers
Which statements must be true according to the histogram? check all that apply. the data is qualitative. the data is skewed right. there were 31 people at the party. there were children at the party. the most common age of the attendees was 13 years old. the majority of the people at the party were less than 61 years old.
Answers
The statements that must be true according to the data presented by the considered histogram are:
Option 2: the data is skewed right. Option 3: there were 31 people at the party.Option 6: the majority of the people at the party were less than 61 years old.How to identify skewed graph?A skewed distribution is a distribution having bias on one of the two sides (either left or right).
It is like leaning mountain on one side (left or right).
A left skewed graph have elongated tail on the left side of the main mountain like figure. The mountain like figure is after that elongated tail. It is also called negatively skewed graph.A right skewed graph has elongated tail on the right side of the main mountain like figure. The mountain like figure is before that elongated tail. It is also called positively skewed graph.The missing image of the considered histogram is attached below.
Checking all the options:
Option 1: the data is qualitative.It is wrong. The data is numeric, and therefore, not describing qualities, so its not a qualitative data.
Option 2: the data is skewed right.The histogram has long tail on the right side, so its right skewed. Thus, this option is correct.
Option 3: there were 31 people at the party.Age group Frequency (number of people of that age group in party)
0-20 5
21-40 13
41-60 8
61-80 3
81-100 2
total 5+13+8+3+2 =31
So yes, there were total 31 people at the party as a person can be at max in one age group, so no repeated counting.
Option 4: there were children at the party.From 0 to 20 age group, there were 5 people. But it isn't known if they were < 18 or ≥ 18 (this is the side effect of grouped data, the loss of some information). So this option is not necessarily correct.
Option 5: the most common age of the attendees was 13 years old.It is false. The most common age was from the group 21-40 years old. And 13 is < 20, so it doesn't lie in this group.
Option 6: the majority of the people at the party were less than 61 years old.
Total number of people < 61 = 5+13+8 = 26
26 is more than half of 31 people. So yes, this option is correct.
Thus, the statements that must be true according to the data presented by the considered histogram are:
Option 2: the data is skewed right. Option 3: there were 31 people at the party.Option 6: the majority of the people at the party were less than 61 years old.Learn more about skewed distribution here;
https://brainly.com/question/13111221
There are some dogs cats and rabbits in a pet farm the number of dogs is 3/5of the total number of cats and rabbits .
Answers
Let the number of cats in a farm be [tex]x[/tex] and the number of rabbits be [tex]y[/tex]. The total number of cats and rabbits would be be [tex]x + y[/tex]. As the number of dogs in the farm are [tex]\frac{3}{5}^{th}[/tex] the total number of cats and rabbits, so:
Number of dogs in the farm = [tex]\frac{3}{5} (x + y)[/tex]
Apparently it is not 36, someone please help.
Answers
Answer:
i think it would be 9
Step-by-step explanation:
Answer:
9cm
Step-by-step explanation:
the formula of the perimeter of a square is s+s+s+s which is simplified to s4
to solve this we go backwards
S4=36
divide both sides by 4
S=9
3. A triangle has two angles that measure 85° and 23°. Which has to be the measure of the third angle?
A.95°
B.157°
C.108°
D.72°
Answers
Answer:
72
Step-by-step explanation:
Answer: D. 72°
Step-by-step explanation:
Because a triangle equals 180 we take the given info in order to find x
[tex]85+23+x=180\\108+x=180[/tex]
[tex]108+x=180\\-108=-108\\x=72[/tex]
5x – 5 = 7x + 1 what is this question
Answers
Answer:
x = - 3
Step-by-step explanation:
5x - 5 = 7x + 1 ( subtract 7x from both sides )
- 2x - 5 = 1 ( add 5 to both sides )
- 2x = 6 ( divide both sides by - 2 )
x = - 3
Answer: x = -3
Step-by-step explanation: Here is my explanation...
Step 1: Take away 5x from both sides 5x - 5x - 5 = 7x - 5x + 1.
Step 2: You should then get -5 = 2x + 1, then take away 1 from both sides -5 - 1 = 2x + 1 - 1
Step 3: -6 = 2x, divide 2x on both sides -6/2 = 2x/2
x = -3
Work Check:
5 (-3) - 5 = 7 (-3) + 1
-15 - 5 = -21 + 1
-20 = -20
If the -20 = -20 then this proves that x = -3. I hope this helped!
If the side of a square is 3/4 feet, what is the area of the square
Answers
[tex]\text{Area of square}=~ \text{Side}^2\\\\~~~~~~~~~~~~~~~~~~~~~=\left(\dfrac 34 \right)^2\\\\~~~~~~~~~~~~~~~~~~~~~=\dfrac{9}{16}~ \text{ft}^2[/tex]
Answer:
0.5625
Step-by-step explanation:
The formula is (L x W)
L = 3/4
W = 3/4
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
HI CAN HELP MEEEE I DONT KNOW THIS
Answers
Answer:
Option B, [tex]2x^2 - 3x + 10[/tex]
Step-by-step explanation:
Step 1: Distribute the values
[tex]2(x^2 + 5)-3(x+1) + 3[/tex]
[tex](2*x^2 + 2*5) - (3*x + 3*2) + 3[/tex]
[tex]2x^2 + 10 - 3x - 3 + 3[/tex]
Step 2: Combine like terms
[tex]2x^2 + 10 - 3x - 3 + 3[/tex]
[tex]2x^2 - 3x + 10[/tex]
Answer: Option B, [tex]2x^2 - 3x + 10[/tex]
Answer:
The correct answer is B
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
What is the median of the data shown?
38, 50, 43, 33, 35, 30, 64, 43, 41
Answers
The median is the middle number in the data.
Sort them out in order.
30, 33, 35, 38, 41, 43, 43, 50, 64
The middle number is 41 so the median is 41.
the sum of two consecutive integers is 23. what are the numbers?
Answers
Answer:
23
Step-by-step explanation:
the 1st number is x
because they are consecutive:
2nd number is (x+1)
now,
x+(x+1)= 23
2x=23–1
2x=22
x=22/2= 11
so two consecutive numbers are 11 & (11+1)=12
now 11+12=23
Answer:
11 and 12
Step-by-step explanation:
Let the integers be x and x + 1.
Sum of two consecutive integers is 23.
x + x + 1 = 23
2x + 1 = 23
2x = 23 - 1
2x = 22
x = 22 / 2
x = 11
x + 1
= 11 + 1
= 12
The numbers are 11 and 12.
4 x 10 to the power of 7 is ? times as much as 4 x 10 to the power of 3.
A. 4 x 10(4)
B. 10(4)
C. 10(10)
D. 4 x 10(10)
Answers
Answer:
The right choise is
b. 10(4)
Step-by-step explanation:
B) 10(4).
Answer: the answer is b 10(4)
Segment (JG) bisect ∠FGH. Use the proportion from (FJ) to (FG) to find the missing length of (HJ)
Answers
Answer:
HJ = 6
Step-by-step explanation:
The sides are in the proportion :
[tex]\frac{FJ}{FG} = \frac{HJ}{HG}[/tex]Therefore,
[tex]\frac{4}{6} = \frac{2}{3} = \frac{HJ}{9}[/tex]HJ = 18/3HJ = 6What is the mean absolute deviation (mad) of the data set? 2, 5, 6, 12, 15 enter your answer as a decimal in the box.
Answers
Answer: 4.4
To find the mad you have to first find the mean of the data set then you have to find the sum of the data values and divide the sum by the number of data values.
This year, you owed $6,414.95 in federal income tax. if you are taxed at a net rate of 17%, what was your taxable income for this year? a. $109,054 b. $26,792 c. $44,867 d. $37,735 please select the best answer from the choices provided a b c d
Answers
The taxable income for this year will be $37,735. Then the correct option is D.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
This year, you owed $6,414.95 in federal income tax.
If you are taxed at a net rate of 17%.
Then the taxable income for this year will be given by
[tex]\rm Taxable\ income = \dfrac{6414.96}{0.17}\\\\Taxable\ income = 37735.05 \approx 37735[/tex]
More about the percentage link is given below.
https://brainly.com/question/8011401
Answer:
37,735
Step-by-step explanation:
A diver jumps from a diving board. The diver's height (h in meters) of his
feet above the water is found using the equation h(t) = -4.9t? +91 +3 where
t is the time in seconds after the diver jumps. What is the height of the
diving board above the water?
Answers
h(t) = -4.9(0) + 91 + 3 = 94 meters
but this seems extremely high so please check that you have copied the question down correctly.
Which of the following is equivalent to sin A?
A: cos A
B: tan A
C: cos C
D: tan C
Answers
Answer:
C: cos C
Step-by-step explanation:
Hope it helps you in your learning process.
sin A = BC/AC = 15/17 .....(1)
cos C = BC/AC = 15/17 .....(2)
From (1) & (2)
sin A = cos C
Answer:
It´s C
Step-by-step explanation:
Cos C
find the measures of x and y
please helppp!
Answers
Answer:
Each angle has a measure of 75 degrees
Step-by-step explanation:
First of all, we know that angle Z has a measure of 120 degrees and that angle W is a right angle. This means that the measure of angle W would have to be 90.
Next, we know that because the shape is a quadrilateral, the sum of its interior angles has to be equal to 360. Since we know that the measure of angles X and Y are equal (by definition of congruent), we will label them both with the variable x. We can then say the following:
2x + 90 + 120 = 360
We can then proceed to simplify this:
2x + 210 = 360
2x = 150
x = 75
So, the measure of x and y are 75.
Which expression represents the surface area of the prism?
Answers
Answer:
A, 2 · 8 + 2 · 55 + 88
Step-by-step explanation:
If we find the area of the two triangles above and below, we know the area of one triangle is 8 because (formula for area of triangle: a = bh x 1/2, and a = 8(2) x 1/2 which equals 8). So if we double this area, we would get 2 · 8.
If we were to find the area of both the rectangles that are left and right of this figure, we know the area of one rectangle would be 55 because (formula for area of rectangle: a = l x w, and a = 5(11) would equal 55). So if we'd doubled this, we would get 2 · 55.
If we were to find the area of the rectangle in front of this entire figure, we know the area would be 88 because (formula for area of rectangle: a = l x w, and a = 11(8) which would equal 88).
So if we find the surface area of this figure, we'd just need to piece this together to form:-
2 · 8 + 2 · 55 + 88
Answer:
2 · 8 + 2 · 55 + 88
Step-by-step explanation:
I do it right in khan academy
7th grade math and serface area
Answers
Answer:
108 square yards
Step-by-step explanation:
l = 6 yd
w = 4 yd
h = 3 yd
Surface area of rectangular prism = 2*(lw +wh + hl)
= 2*(6*4 + 4*3 + 3*6)
= 2* ( 24 + 12 + 18)
= 2 *54
= 108 square yards
For what values of x is x2 2x = 24 true? –6 and –4 –4 and 6 4 and –6 6 and 4
Answers
The value of the x of the equation x² + 2x = 24 is negative 6 and 4, then the correct option is C.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The expression equation is given below.
x² + 2x = 24
x² + 2x – 24 = 0
On factorization, we have
x² + 2x – 24 = 0
x² + 6x – 4x – 24 = 0
(x – 4)(x + 6) = 0
x = –6, 4
The value of x is –6 and 4.
More about the factorization link is given below.
https://brainly.com/question/6810544
Oscar has elected to have 23% of his federal income tax withheld as state income tax. if $154.00 was withheld as federal income tax on his last paycheck, how much will be withheld from his paycheck for income tax in all? a. $35.42 b. $118.58 c. $177.00 d. $189.42 please select the best answer from the choices provided a b c d
Answers
The amount that will be withheld from his paycheck for income tax in all is d. $189.42.
What is the amount withheld?The amount withheld is a credit against the income taxes the employee must pay during the year.
The amount withheld from his paycheck for income tax in all is given by;
Amount withheld = State income tax + ( State income tax× Percentage of federal income tax)
Where:
State income tax=$154.00
Percentage of federal income tax=23%
Substitute all the values in the formula
Amount withheld=$154.00+($154,00×23%)
Amount withheld=$154.00+$35.42
Amount withheld=$189.42
Hence, the amount that will be withheld from his paycheck for income tax in all is d. $189.42.
Learn more about income tax here:
brainly.com/question/25641320
two times a number less 4 is greater than the same number plus 6. for what number or numbers is true?
Answers
Answer:
n > 10 meaning, n is greater than 10
Step-by-step explanation:
Two times a number : 2n
Less 4 : -4
2n-4
Greater than the same number : >n
Plus 6 : +6
> n+6
2n-4 > n+6
To find n, we have to get n alone and equal to a single number. To do this, we first subtract 6 from both sides.
2n-10 > n
Then, subtract 2n from both sides
-10 > -n
Now, divide by -1
10 < n
So, n is greater than 10
The area of a rectangular field is 4526 m².
If the width of the field is 62 m, what is its length?
Answers
Answer:
73 m
Step-by-step explanation:
The formula for the area of a rectangle is a = w(l). Using this, we can plug in the given values and solve for l, the length.
4526 = 62(l)
[tex]\frac{4526}{62} =\frac{62l}{62}[/tex]
l = 73
hope this helps!
Answer: 73 meters
Step-by-step explanation:
The simple formula to calculate the area of a regular rectangle is (Length x Width)
Given the area is 4526, and the width 62, we can use "y" to represent the unknown length.
So, '
62(y)=4526
Divide both sides by 62
1/2[62(y)]=4526/62
Y= 73 meters.
To check, 73x62= 4526, which follows the formula
the club sells 144 cans of lemonade what is the least number of bottles of water that must be sold to cover the cost of rending costumes
Answers
Answer:
A total of 142 units of water bottles must be sold to recover the costs of renting costumes.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
According to the directions in a bottle of Armstrong concentrated floor cleaner for routine cleaning 1/4 cup of cleaner should be mixed with 1 gal of warm water. How much cleaner should be mixed with
10 1/2 gal of water ?
Answers
Answer:
2 and 3/4 cups
Step-by-step explanation:
because if a quarter cup is used in 1 gallon than one cup is used in two gallons. this than trasferes up to the ratio of 2/8, which means two cups cleaner and 8 gallons water for 10 gallons it would be 2 and a half cups and for 10and 1/2 gallon it would be 2 and 3/4 cups
1/3m - 1 - 1/2n evalute
Answers
Answer:
Step-by-step explanation:
1) Simplify 1/3m to m/3.
m/3 - 1 - 1/2n
2) Simplify 1/2n to n/2.
m/3 - 1 - n/2
Brainlist A 12" diameter 1-topping pizza costs $8.99. A 14" diameter 1-topping pizza costs $10.99. Which pizza option
gives you more for your money? Justify your answer.
Answers
Answer:
The 14" diameter pizza gives you more pizza for your money since it costs less per square inch.
Step-by-step explanation:
We can find the price per square inch of each pizza.
area = πr²
12" diameter pizza
area = π × (6 in.)² = 36π in.²
cost per in.²: $8.99/(36π in.²) = 0.079 $/in.²
14" diameter pizza
area = π × (7 in.)² = 49π in.²
cost per in.²: $10.99/(49π in.²) = 0.071 $/in.²
The 14" diameter pizza gives you more pizza for your money since it costs less per square inch.