The first step when rewriting y = 6x2 + 18x + 14 in the form y = a(x – h)2 + k is to factor out 6 from the first two terms
Writing an equation in vertex formThe standard vertx form of an expression is given as y = a(x – h)^2 + k
Given the quadratic expression given as:
y = 6x^2 + 18x+ 14
Before a quadratic equation can be transformed to its vertex form, the coefiicient of x^2 must be 1.
To do that, you will factor out 6 from the first two terms to have:
6(x^2 + 3x) + 14
Hence the first step when rewriting y = 6x2 + 18x + 14 in the form y = a(x – h)2 + k is to factor out 6 from the first two terms
Learn more on vertex form here: https://brainly.com/question/525947
The first step is factoring out the 6 from the 6x2 + 18x.
**PLS HELP BRAINLIEST**
Answer:
x < 10
Step-by-step explanation:
the dot isn't colored in, meaning that x could not equal 10, and the graph goes left, meaning that x is less than 10.
Answer:
x<10
Step-by-step explanation:
Since the inequality doesn't have the circle filled in it is not a less than or equal to and since this is on the 10 this would be x<10
can someone help me.
Step-by-step explanation:
side of square = 10
area of square = side² = 10² = 100 cm²
P.S : ARE YOU SURE THE OPTIONS ARE CORRECT ???
1/secA+tanA = 1-sinA/cosA
Answer:
Below.
Step-by-step explanation:
1 / secA+tanA = 1 / [1/cosA+sinA/cosA))]
= 1/ [(1 + sinA)/cosA]
= cosA/(1+sinA)
Now check if this is identical to 1-sinA/cosA:
1-sinA/cosA = cosA/(1+sinA)
Cross multiply:
(1-sinA)(1+sinA) = cos^2A
1 - sin^2A = cos^2A
sin^2A + cos^2A = 1
This is a known idenity.
So the original identity is true.
Please help me with this please and thank you
Answer:
Step-by-step explanation:
Answer A represents an exponential equation; see below for a demo.
In Answer A we have (1, 3), (2, 3²), (3,3³)
What is the third angle on a triangle with angels of 30 and 60?
Answer:
90 degrees
Step-by-step explanation:
a triangles angles add up to 180
this means that you can add all the angles together and get 180
you can first add 30 and 60 and then subtract the sum from 180
30 + 60 = 90
180 - 90 = 90
the last angle is 90 degrees
Hey ! there
Answer:
Third angle is equal to 90 degreesStep-by-step explanation:
In the question we are given with two angles of the triangles that are 30° and 60° . And we are asked to find the third angle of triangle .
For solving this question we must have knowledge of angle sum property which says that the sum of all the angles which are present inside the triangle ( interior angles ) is equal to 180°.
Solution : -
As we know that ,
First angle = 30°Second angle = 60°Third angle = x (Here we are assuming third angle as x because in question it is not given and we have to find the value of third angle)So ,
[tex] \longmapsto \qquad \: 30° + 60° + x° = 180°[/tex]
Step 1 : Adding 30° and 60° :
[tex] \longmapsto \qquad \:90° + x° = 180° [/tex]
Step 2 : Subtracting 90° from both sides :
[tex] \longmapsto \qquad \: \cancel{90°} - \cancel{90 ° } + x° = 180° - 90° \: [/tex]
On further calculations , We get :
[tex] \longmapsto \qquad \: \blue{\underline{\boxed{\frak{x° = 90°}}}}[/tex]
Henceforth , value of x that is our third angle of triangle is 90° .Verifying : -
Now we are verifying our answer by adding all the angles of triangle and equating them with 180° because of angle sum property. So ,
Angle 1 + Angle 2 + Angle 3 = 180°30° + 60° + 90° = 180°90° + 90° = 180°180° = 180°L.H.S = R.H.SHence , Verified .Therefore, our solution is correct .
#Keep Learninghow do i find out decimal parts of money?
Answer:
A dollar is a whole amount and is written to the left of the decimal.
...
In 1 dollar there are 100 cents and we write them after a period:
1 cent of a dollar is written $0.01.
10 cents of a dollar is written $0.10.
1 dollar and 1 cent is written $1.01.
1 dollar and 10 cents is written $1.10.
Money Is a Special Decimal
All money is a decimal value with two places. You will see examples including $1.25, $65.98, and $26.34. No matter how big the value gets, you can only have two decimal places. One cent is 0.01.
What’s bigger - 2/3 or -0.8
Answer:
-2/3 is greater than -0.8
Step-by-step explanation:
-2/3 when made into a decimal is about -0.67
This is greater than -0.8 because -0.67 covers less area when put into a visual.
Answer:
Convert -0.8 into a fraction or -2/3 into a decimal;
-2/3 in decimal form = -0.666...
Compare the two decimals;
-0.8 __ -0.666...
-0.8 < -0.666..., so -2/3 is greater.
Find the equation of a line parallel to y + 9 = -3/2x that passes through the point (-8,9)
9 subtracted from 2x gives the result 5 Find the value of x.
Answer:
x = 7
Step-by-step explanation:
Just write what you see in terms of a formula.
2x - 9 = 5
Solve for x
add both sides by 9
2x = 5 + 9
2x = 14
divide both sides by 2
x = 14/2
x = 7
Answer:
x = 7
Step-by-step explanation:
9 subtracted from 2x gives the result 5. Find the value of x.
Translate:
2x - 9 = 5
Simplify:
2x - 9 = 5 <== add 9 to both sides
+ 9 + 9
2x = 14 <== divide both sides by 2 to isolate the variable
/2 /2
x = 7
Hope this helps!
find the area of a rectangle that measures 2 2/3 in. by 36 1/2 in.
Answer:
97 1/3 or 97.3333
Step-by-step explanation:
multiply 2 2/3 by 36 1/2
:)
You received an $40,000 bonus, which was 18% of your salary. What is the percentage of your salary is this bonus?
Answer:
salary: $40,000÷18% = $ 222. 222 22
222 222 22÷40,000×100%
= 555.56%
Alyssa had two hundred 95 dollars to spend on 9 books.
After buying them she had 16 dollars. How much did
each book cost?
Answer:
$31
Step-by-step explanation:
295 minus 16 is 279
that's how much they were all together
and divide 279 by 9 and you get 31
NEED HELP ASAP! WILL GIVE BRAINLIEST!!
1. Two friends are reading books. Jimmy reads a book with 21,356 words. His friend Bob reads a book with one-and-a-half times as many words. Which expression represents the number of words Bob reads?
1. 21,356 x 2
2. 21,356 x one fourth
3. 21,356 x one half
4. 21,356 x one and one half
________________________________________
———————————————————————————
..................................................................................................
2. Which equations have a value less than 6,766?
A. one fourth x 6,766 = ________
B. 6 x 6,766 = ________
C. one half x 6,766 = ________
D. 1 x 6,766 = ________
1. A and C
2. D and B
3. A and B
4. C and D
Answer:
Answer for 1
3. 21,356 x one half
Answer for 2
1. A and C
Step-by-step explanation:
3 + 90 ÷ 10=
Please answer this quistion i alredy know the answer who ever gets it right will earn a lot of points.
Answer: 12
Step-by-step explanation:
Start with 90/10 which gets you 9
Then add 3 and 9 which is 12
Answer:
12
Step-by-step explanation:
Order of operations says to do the division first
90/10 = 9
Then add the rest
9+3 = 12
Awnser ASAP please
Tom buys a condominium for $42,600. He makes a down payment of 15%, and pays these closing costs: survey $225; inspection, $110; mortgage fee, $852; legal fees, $450; title insurance, $286. What is the amount of the down payment? What are the total closing costs? How much will he need to bring to the closing (down payment + closing costs)?
Kerri takes out a mortgage for $55,000 at 9% for 25 years. What are her monthly payment, the total amount paid, and the cost of the mortgage?
Fred takes out a mortgage for $60,000 at 7% for 20 years. What are his monthly payment, the total amount paid, and the cost of the mortgage?
The Roger’s applied for a $70,000 mortgage for 30 years at 9%. Since they had a good credit history, they actually qualified for a 25 year mortgage at 7%. What were the payments on the 9% loan, and the 7% loan? What do they save monthly? What is the total repayment on the 9% loan and the 7% loan, and what do they save over the life of the loan?
Answer:
I got you with Question 3 and 4 my guy.
3) He would need 12 and it would cost 50k
4) 9% payments: $563.24, 7% payments: $494.75. Monthly savings: $69.49, 9% total repaid: $2022,764.90 , 7% total repaid: $148,423.63 , Savings: $54,341.27
The Tom will need to bring to the closing $54,341.27
He would need 12 and it would cost 50k.
We have given that,
Tom buys a condominium for $42,600.
He makes a down payment of 15% and pays these closing costs to survey $225.
What is the meaning of a down payment?
The meaning down payment is a part of the full price paid at the time of purchase or delivery with the balance to be paid later.
Inspection, $110; mortgage fee, $852; legal fees, $450; title insurance, $286
9% payments: $563.24
7% payments: $494.75.
Monthly savings: $69.49
9% total repaid: $2022,764.90
7% total repaid: $148,423.63
Savings: $54,341.27
To learn more about the savings visit:
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FREE BRAINLIEST IF CORRECT - EZ QUESTION: Write the equation for the parabola that has x− intercepts (−2,0) and (−5,0) and y− intercept (0,−4).
Answer:
y = -2/5x^2 - 14/5x - 4
Step-by-step explanation:
y = a(x + 2)(x + 5)
At y intercept:
-4 = a(2)(5)
10a = -4
a = -2/5.
So the equation is
y = -2/5(x + 2)(x + 5)
y = -2/5(x^2 + 7x + 10)
y = -2/5x^2 - 14/5x - 4
Now, that you have the new wheel circumference, what will happen to the number of rotations if the circumference of the tires were increased by 20%? Calculate the number of rotations for the new wheel. Divide 63,360/new circumference =_______rotations (Please only put the number as your answer)
The number of rotations for the new wheel will be 1,056 rotations
How to calculate the circumference of a wheel?Let the initial circumference be 50 rotations (assumed)
If the number of rotations of the circumference of the tires were increased by 20%, then the new circumference will be:
Ne circumference = 1.2 * 50 = 60
number of rotations for the new wheel = 63360/60
number of rotations for the new wheel = 1,056 rotations
Hence the number of rotations for the new wheel will be 1,056 rotations
Learn more on circumference here: https://brainly.com/question/20489969
give me full working and explanation and I give you stars. deal..?
Length: 44 metre
perimeter of rectangle = 2(length+breadth)Here given,
length = L
breadth = 12 metre
perimeter = 112 metre
P = 2(L+B)112 = 2(L+12)12 + L = 112/2L = 56 - 12L = 44 mPlease HELP ME! PLEASE!
Answer:
- 8/4x^6-5x^5+2
Step-by-step explanation:
5510 ÷ 27 with remainder
Answer:
204, there is no remainder.
Step-by-step explanation:
Answer: 204 Rem 2
Step-by-step explanation: Use long division
Determining the Conic Type from General Form
Identify the conic section that is represented by the equation.
2x^2 – 4x + 5y^2 – 3y + 2 = 0
circle
ellipse
parabola
hyperbola
Answer: B "ellipse"
to check what type of conic it may be, we first check the squared variables, their coefficents and sign.
in this case 2x² and 5y² are both positive, that means we have either an ellipse or a circle.
if the coefficients are equal, boinggggg! we have a circle, or if you wish an ellipse with equal axes.
if the coefficients are different, like in this case, we have an ellipse.
Answer:
photo
Step-by-step explanation:
An experiment consists of rolling a die and then flipping a coin.
The following tree diagram shows the possible outcomes.
A 2-column tree diagram: die and coin. The die column has numbers 1 through 6. Each number branches to H & T in the coin column.
© 2018 StrongMind. Created using GeoGebra.
What is the probability of rolling a 6 or landing on tails?
Enter your answer as a reduced fraction, like this: 3/14
Answer:
1/3
Step-by-step explanation:
If you are trying to figure out the more likeliness of getting tails than a 6, then you have to get a common denominator and then subtract numerators.
[tex]\frac{1}{2} =\frac{6}{12} \\\\\frac{1}{6} =\frac{2}{12} \\\\\frac{6}{12} -\frac{2}{12} =\frac{4}{12} \\\\\frac{4}{12} =\frac{2}{6} =\frac{1}{3}[/tex]
Theres a 1/3 more chance of tails than rolling 6
The probability of rolling a 6 or rolling a die is 2/3.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given that,
An experiment consists of rolling a die and then flipping a coin.
Probability = Number of desired outcomes / Total outcomes
Probability of rolling a 6 = 1/6
Probability of landing on tails = 1/2
P(A or B) = P(A) + P(B)
Here, let A represents the event of rolling 1 6 and B represents the event of landing on tails.
P(A or B) = 1/6 + 1/2 = 4/6 = 2/3
Hence the required probability is 2/3.
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#SPJ2
what does 7 of one third + 2 and two thirds =
Find the area of the parallelogram. 24 cm 9cm 8 cm
(07.04 LC)
If 9x = 63, then x =
(Only input whole number) (1 point)
Answer: x = 7
Step-by-step explanation:
Question: If 9x = 63, then x = ?
9x = 63
x = 63/9
x = 7 answer
The value of x is 7.
hope that helps...
What is the result of adding these two equations?
2x+7y=4
-2x-8y=-2
Answer:
y=-2
Step-by-step explanation:
2x-2x=0
7y-8y=-y
4-2=2
-Y=2
Y=-2
Jermaine plots the points (0, 0) and (4, 11) on a graph to represent a proportional relationship. Which of the following equations represents the relationship between the x and y-values?
The proportional relationship between (0,0) and (4,11) represents a direct variation
The equation that represents the graph is y = 11x/4
How to determine the equation of the graph?The points on the graph are given as:
(x,y) = (0,0) and (4,11)
The equation of the graph is then calculated using:
y = (y₁/x₁) * x
This gives
y = (11/4) * x
Evaluate
y = 11x/4
Hence, the equation that represents the graph is y = 11x/4
Read more about proportional relationships at:
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Given that
logaN - logax = 3/2
express x in terms of a and N, giving your answer in a form not involving logarithms.
Answer:
N/a^3/2
Step-by-step explanation:
loga(N/X)=3/2
N/X= a^3/2
X= N/a^3/2
Step-by-step explanation:
When subtracting logarithms with the same base, it is equivalent to combining them into one logarithm, then dividing the arguments inside:
[tex] log_{a}(n) - log_{a}(x) = log_{a}( \frac{n}{x} ) [/tex]
Then use the formula:
[tex] log_{a}( \frac{n}{x} ) = \frac{3}{2} [/tex]
[tex]{a}^{ \frac{3}{2} } = \frac{n}{x} [/tex]
[tex]x = n {a}^{ - \frac{3}{2} } [/tex]
In a class of 28 students, 11 play an instrument and 5 play a sport. There are 2
students who play an instrument and also play a sport. What is the probability that a
student chosen randomly from the class plays a sport or an instrument?
Answer:
50% or 0.5
Step-by-step explanation:
Based on the given conditions, formulate: (5+11-2)÷28
Calculate the sum or difference: 16-2/28
Calculate the sum or difference: 14/28
Cross out the common factor: 1/2
get the result: 50% or 0.5
Answer: 50% or 0.5
SOMEONE PLEASE HELP ME WITH THIS!!
IMAGE DOWN BELOW!!
ILL GIVE YOU BRAINLIST ANSWER!!
Answer:
5.735
pythagorian theorem is a^2 + B^2 = c^2
C is the longest side of the right triangle