Answer:
In vertex form: y = 1(x - (-3))² + 7
Vertex: Minimum (-3, 7)
Explanation:
Vertex form: y = a(x - h)² + k
Completing square (rules) :
1st rule: (x + d)² = x² + 2dx + d² and (x - d)² = x² - 2dx + d²
2nd rule: x² + 2dx = (x + d)² - d² and x² - 2dx = (x - d)² - d²
Given equation:
y = x² + 6x + 16
y = x² + 2(3)x + 3² + 7
y = (x + 3)² + 7
Into vertex form:
y = 1(x - (-3))² + 7
From this identify:
a = 1, h = -3, k = 7
Solution, vertex of this equation: Minimum (-3, 7)
i attached the question :D
Answer:
$ 2155.62
Step-by-step explanation:
regular pay rate = 11.10
overtime pay rate = 1.8 * 11.10
142 * $11.10 + 29 * ( 1.8 * $ 11.10) = $ 2155.62
Mr Brown has to pay a $670 power bill by the end of the month. He has 12 days to go before the end of the month. He has already set aside $152 for the bill. He plans to save an equal amount per day for each of the 12 days.
a) what is the minimum amount he should save per day to be able to pay the bill?
b) Convert your answer to a certain currency. $1 in the current currency = $1.35 to the new currency.
Monroe Vitamin Shop sold equal quantities of Vitamin A and Vitamin D supplements this
morning, even though the Vitamin A supplements come in packs of 4 and the Vitamin D
supplements in packs of 7. What is the smallest number of each type that the store could
have sold?
supplements
Answer:
28 supplements
Step-by-step explanation:
4 x 7 = 28
7 x 4 = 28
Can someone help me with this as well? (I think I put 50 points for whoever answers this? ) Pls and ty!
I suck at math lol
Answer: G.
Step-by-step explanation:
The formula for a circle's circumference is C = 2[tex]\pi r[/tex]
r = radius
We know the rectangle ABCD has a perimeter of 72 cm.
The rectangle is divided into 6 perimeter sides: AP, PB, BC, CQ, QD, and DA.
If we divide 6 sides to the rectangle's perimeter, we can calculate the length of one side.
72 / 6 cm = 12 cm
A side of the perimeter of the rectangle ABCD is equal to 12 cm, which means PQ, the radius of the circle is equal to 12 cm.
C = 2[tex]\pi r[/tex]
radius = 12 cm
C = 2[tex]\pi[/tex] * 12 cm
C = 2 * 12 * Pi cm
C = 24[tex]\pi[/tex]
Answer = G.
Hope I Helped!
Answer:
24pi (G)
Step-by-step explanation:
This question might seem hard at first, but we know one crucial piece of information- line PQ- is the circle's radius. We also know that Q "fits perfectly" on line DC, and that angle QPB is a right angle. Since the line is straight and passes through THE MIDDLe of the rectangle, we can assume that line PQ divides the rectangle into two squares. Since squares have 4 corresponding sides, or sides with the same length, we can rewrite the equation as x+x+2x+2x, which is 6x = 72. Apply and find your answer.
EASIER EXPLANATION:
the radius is at a right angle, meaning it divides the rectangle into two squares.
It is stated that the perimeter of the rectangle is 72, meaning if we write it into an equation where x = short sides and y = long sides.
x+x+y+y = 72
However, the long sides really equal 2x, so we can rewrite the equation
x+x+2x+2x = 72
Simplify
X+x+x+x+x+x = 72
Simplify more
6x = 72
solve
x = 12
We also know that 2x is the dimeter, which is 24.
Apply to the circumference equation
C= Dpi
Since all our answeres are in pi form, we don't need to solve
ANSWER= 24
Jenny has 36 cupcakes. How many kids (including Jenny) can share these cupcakes evenly?
The number of kids who can share 36 cupcakes evenly could be:
Need help with this, explaining how to do it would be very much appreciated. Thanks :)
Answer:
Solution: There is exactly one solution, the lines intercept at one point, they are not the same line, so they do not have infinite solutions, and if they were to not intercept, they would have no solution.
Step-by-step explanation:
Set the equations equal
-2x-4=3x+3
+4 +4
-2x=3x+7
-3x -3x
-5x=7
/-5
x=-7/5
Plug x back into one of the equations
y=-2(-7/5)-4
y=-6/5
(01.02 HC)Andrew is showing his work in simplifying (−5.7 + 2.2) − 1.1.
Step 1: (2.2 − 5.7) − 1.1
Step 2: 2.2 − (5.7 + 1.1)
Step 3: 2.2 − (6.8)
Step 4: −4.6
Which statement is true?
1. In step one andrew used the commutative property
2. in step 2 andrew used distributive property
3. in step 3 andrew used the associative property
4. In step 4 andrews answer is incorrect
Answer: A
Step-by-step explanation:
Let's fact check all the answer choices:
A. He used the commutative property
Well, the commutative property states that you can put the equation in any order and the result doesn't change. In step1, andrew makes the equation -5.7+2.2 into 2.2-5.7. Both of these equations equal -3.5, so yes, he used the commutative property.
B.He used the distributive property.
We know this is wrong because the distributive property involves multiplication. An Example of an equation that involves the distributive property is 3(2+1), or 3x(2+1).
C. He used the associative property.
This is wrong because the associative property involves grouping the equation into different parentheses , which doesn't happen.
D. The answer is incorrect
Using a calculator , we know this is wrong.
Hope this helps :)) Also if i could have brainliest id really appreciate it :D
Answer:
4.6
Step-by-step explanation:
Dilate the figure by the scale factor. Then enter the new coordinates.
K= 3
Answer:
which figure?????????????????????????????/
Step-by-step explanation:
i
What is the hypotenuse? Round to the nearest tenth.
Answer:
c = 14.6
Step-by-step explanation:
[tex]\textrm {Applying the Pythagorean Theorem : }[/tex]
⇒ a² + b² = c²
[tex]\textrm {Here, we are given :}[/tex]
⇒ a = 4
⇒ b = 14
[tex]\textrm {Solving :}[/tex]
⇒ c² = 4² + 14²
⇒ c² = 16 + 196
⇒ c² = 212
⇒ c = √212
⇒ c = 14.6 [tex]\textrm {(nearest tenth)}[/tex]
pls answer 20 points I will mark brainliest
Answer:
678.24
Step-by-step explanation:
First, we have to find the area of 1 cylinder(pi x r^2 x h), which i got as 226.08 then we multiply by 3 because there are 3 cylinders. 226.08 x 3 = 678.24
Answer: Hope this helps you!
678.24Step-by-step explanation:
First, I started off with the equation of the area of a cylinder
Area = π * radius^2 * height
Now I will go on and substitute
Area = 3.14 * 3^2 * 8
And now I will start solving
Area = 3.14 * 3^2 * 8
(3^2 = 3*3 = 9)
Area = 3.14 * 9 * 8
(9*8 = 72)
Area = 3.14 * 72
Area = 226.08
The area of 1 cylinder is 226.08, however we need to find the area of the whole composite figure which is made up of 3 cylinders.
226.08 * 3 = 678.24
The answer is 678.24(Make me brainliest!)Lola started a swimming lesson at 1:30 p.m. that lasted for 45 minutes.
Then she read a book for 35 minutes.
What time did she finish her swimming lesson and what time did she finish reading
Answer:
She finished swimming lesson at 2:15 p.m.
and reading book at 2:50 p.m.
Step-by-step explanation:
I hope this helped (:
Lola finished her swimming lesson at 2:15 p.m. and read a book at 2:50 p.m.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
Lola's swimming class began at 1:30 p.m. and lasted 45 minutes.
She then spent 35 minutes reading a book.
To determine the time did she finish her swimming lesson and the time did she finish reading.
swimming end time = began time + class duration
swimming end time = 1:30 p.m. + 45 minutes
swimming end time = 2:15 p.m.
reading end time = began time + reading duration
reading end time = 2:15 p.m. + 35 minutes
reading end time = 2:50 p.m.
Thus, she finished her swimming lesson at 2:15 p.m. and read a book at 2:50 p.m.
Learn more about Arithmetic operations here:
brainly.com/question/25834626
#SPJ2
Fill in the blanks based off the graph. (I added pictures)
Thanks :) 20 pointss!!!
Answer:
1. $4
2. $2
3. $1
4. $30
Step-by-step explanation:
Answer:
1. $4
2. $2
3. $1
4. $30
Step-by-step explanation:
Look at this number sentence.
( ? + 10 ) + 4 = 7 + ( 10 + 4 )
Answer:
x = 7
or
7 + 10 + 4 = 7 + 10 + 4
Step-by-step explanation:
( ? + 10 ) + 4 = 7 + ( 10 + 4 )
x + 10 + 4 = 7 + 10 + 4 (the answer is just 7)
x + 14 = 21
x = 21 - 14
x = 7
how much is 10 cents +6 dimes + 5 cents equal?
is it equal to a dollar?
Answer:
75 ¢
Step-by-step explanation:
10 cents +6 dimes + 5 cents equals 75 cents or 3/4 of a dollar
I WILL GIVE BRIANLIEST FOR FASTEST AND CORRECT ANSER
Answer: C
Step-by-step explanation:
Step 1: Find the unit rate (tomatoes per bowl)
Last time, the ratio was 9:12, or 9 tomatoes for 12 bowls of soup. To finndd the unit ratet, dividde the ffirst given unnit by the 2nd. In this case, tomatoes is the first unit, and bowls is the second. So the unit rate is:
9÷12= 0.75, or 3/4 of a tomato per bowl of soup.
Now, the ratio is 6:8, or 6 tomatoes for 8 bowls of soup. The unit rate is
6÷8= 0.75, or 3/4of a tomato per bowl of soup.
Step 2: Compare
As you can see, the number of tomatoes per bowl of soup hasn't changed at all. So the answer is C.
Hope this helps :)
Answer:
Todays’s soup will taste the same.
Step-by-step explanation:
9 tomatoes for every 12 cups of soup- ratio= 9/12=3/4
6 tomatoes for every 8 cups of soup- ratio=6/8=3/4
They both end in the same ratio, which is 3/4.
PLS ANSWER ASAP- THIS IS A 7th GRADE QUESTION AND IF UR ANSWER IS THE FIRST AND CORRECT, I WILL MARK BRAINLIEST
Answer:
x = 6
Explanation:
scale factor × original dimension = dilated dimension
inserting values:
0.25 × x = 1.5
0.25x = 1.5
x = 1.5/0.25
x = 6
CORRECT ANSWERS ONLY PEEPS- this is 7th grade math on khan academy and if ur answer is incorrect, ill report yalll
Answer:
2
Step-by-step explanation:
proportional relationship: must be straight line and go through (0, 0).
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: C. 2 [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Proprtional relationship can be depicted as :
[tex]\qquad \tt \rightarrow \: y \propto x[/tex]
[ to get rid of proportionality sign, we use constant c ]
[tex]\qquad \tt \rightarrow \: y = cx[/tex]
Now, conclusion can be made that the shown equation represents a straight line.
And the graph has two straight lines, which means proportional relationship is shown by Two members
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Simplify -40/7+8-23/7
Answer:
-1
Step-by-step explanation:
-40/7+8-23/7
= -40/7+8-23/7
= 16/7-23/7
= -1
whoever can answer all of these will get brainless
1. 121/2 - 9 1/4 =
2. 5 1/2 - 2 5/12 =
3. 7 1/5 - 3 7/10 =
4. 11 2/3 - 8 1/2 =
fractions by the way
answer that goes with each question
3 1/2) 3 1/3) 3 1/4) 3 1/6) 3 2/3) 3 3/4)
which ones do they go with?
4
Firstly, brainly allows 1 question per question. So do not try this again.
Lets make the fractions all like terms.
242/4 - 37/4=205/4. Lets now make this a mixed fraction.
By doing 205/4, we find out that 4 goes in less than 51 times.
1. 51 1/4.
2. 11/2 = 66/12.....so 66/12 - 29/12= 37/12. Make it mixed fraction: 3 1/12.
3. 36/5=72/10. 72/10 - 37/10 = 35/10. As a mixed it is 3 1/2
4. 35/3 - 17/2 can be rewritten by finding their GCM (Greatest Common Multiple). In this case it is 6.
70/6 - 51/6 = 19/6. 3 1/6.
#LearnWithBrainly, get Verified Answers
What is the surface area of this cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
_____ square meters.
Help
Answer:
3504.24 square meters
Step-by-step explanation:
You want the surface area of a cylinder of radius 18 m and height 13 m.
Surface areaThe surface area of a cylinder is given by the formula ...
A = 2πr(r +h)
A = 2(3.14)(18 m)(18 m +13 m) = 3504.24 m²
The surface area of the cylinder is about 3504.24 square meters.
<95141404393>
Solve 2x2 + 5x = 12
Here are the answers provided
\/
x = three over two and x = −4
x = 2 and x = −3
x = −6 and x = 5
x = one half and x = one over three
Answer:
A
Step-by-step explanation:
2x² + 5x = 12
2x² + 5x - 12 = 0
x² + 5x - 24 = 0
factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. the only pair that adds to 5 is 8 and 3
2x² - 3x + 8x - 12 = 0
split the equation and factor
2x² - 3x = 0 ||| 8x - 12 = 0
x(2x - 3) ||| 4(2x - 3)
therefore the pair is (2x - 3)(x + 4)
2x - 3 = 0
2x = 3
x = 3/2
or
x + 4 = 0
x = -4
Simplify.
4n + 12 + 7n
A. 4 n + 19
B. 23 n
C. 16 n + 7
D. 11 n + 12
Answer:
D. 11n + 12
Step-by-step explanation:
You can simplify the 4n + 7n to be 11n by adding them together.
This means the answer is 11n + 12.
Three-eighths of the students in a certain class are males and 3/5 of the male
students in the class are accounting majors.
If 1/4 of the female students in the class are accounting majors, what fraction of
the students in the class are NOT accounting majors?
Answer:
3/5 of the students in the class are not in accounting majors
Step-by-step explanation:
The total number of males in the class is 3/8
3/5 of them are accounting majors
The ones who are not in accounting majors are;
3/8 - 3/5 = 9/40
The total number of female students in the class is;
8/8 - 3/8 = 5/8
1/4 of them are accounting majors
The ones who are not in accounting majors are;
5/8 - 1/4 = 3/8
Total number of students not in accounting majors;
9/40 + 3/8
= 24/40
= 3/5
CORRecT ANSWERS ONLY. What is the value of x?
Answer:
x =5.25
Step-by-step explanation:
Comment
So you want to find x? If the scale factor is 1.75 it means that you multiply whatever dimension on Figure A by 1.75 to get the corresponding dimension on B.
Formula
x = 1.75 * 3
Solution
x = 1.75 * 3
x = 5.25
Please help me with this (i attached photos to cause less confusion)
Thanks :) 25 Points!!!
Answer:
See below
Step-by-step explanation:
The first two questions are slope = 0
a horizontal line has zero slope
slope = rise/run = 0 / run = 0
Greatest y value is + 4 from x = 3 to 4
the least y value is -3 fro x = -4 to -3
John works as a part time waiter in a restaurant. He gets a monthly salary of ₹4,410.Calculate John’s daily, weekly and annual salary.(Take 1 month= 30 days)
1 month is aprox. 30 days, so
To find john's daily salary:
For a month, the salary is 4,410 rupees, so for a day how much?
days salary
30 4,410 (This is how I learnt to solve these kind of problems)
1 ?
Then you crisscross the equation which becomes
4,410/30=147 rupees
To find weekly salary:
we now know the salary for one day so we can say: For a day, the salary is 147 rupees, so for 7 days (1 week) how much?
You multiply the salary for one day and the number of days: 147×7=1,029 rupees
To find salary for a year (annual):
we now know the salary for one day so we can say: For a day, the salary is 147 rupees, so for 365 days (1 year) how much?
You multiply the salary for one day and the number of days: 147×365=53,655 rupees
Hope it helps!
Given conversion factor 12 in/ 1 ft, what is the above line segment's unit of
measure in feet? Round your answer to the nearest tenth.
Answer:
7.0
Step-by-step explanation:
Ms.Kelly wants to give her kids cookies but the all need to be the same amount of cookies she has 14.5 cookies for 2 kids. How many cookies does Ms. Kelly give each kid?
Answer:
7.25 cookies to each kids
Step-by-step explanation:
14.5 divided by 2
I need help with this topic, an explanation of how you got the answer would be very much appreciated, Thanks :)
( I attached pictures )
Answer:
No Solutions
Step-by-step explanation:
Hello!
We can approach this system using the Elimination method. Since the coefficients of the the x terms are the same, we should vertically subtract the two equations.
Subtract[tex]\left \{ {{y=9x - 5} \atop {y = 9x + 6}} \right.[/tex][tex]-\left \{ {{y=9x - 5} \atop {y = 9x + 6}} \right.[/tex][tex]-\left \{ {{y=9x - 5} \atop {y = 9x + 6}} \right.\\0 = 0 -1 1[/tex][tex]0 \neq -11[/tex]Since 0 does not equal to -11, there are no solutions to the system.
We can also look at this graphically. The two lines have the same slope but different y-intercepts, meaning that they would be parallel lines with no intersection. If there is no intersection, there are no solutions.
please help! i suck at these lol
Answer:
D (Last one)
Step-by-step explanation:
You already know the sign is> with an underline under it, meaning it had to be whole. Next, you need to simplify the equation and you would get the last one.
