Answer:
y = 4 (x + 1)² - 16
Step-by-step explanation:
Step 1: Equation at the end of step 1
(2²x²+8x)-12
Step 2:
Step 3: Pulling out like terms
Pull out like factors :
4x² + 8x - 12 = 4 • (x² + 2x - 3)
Trying to factor by splitting the middle term
Factoring x²+ 2x - 3
The first term is, x²
its coefficient is 1 .
The middle term is, +2x its coefficient is 2 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 1 • -3 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is 2 .
-3 + 1 = -2
-1 + 3 = 2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -1 and 3
x² - 1x + 3x - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-1)
Add up the last 2 terms, pulling out common factors :
3 • (x-1)
Step-5 : Add up the four terms of step 4 :
(x+3) • (x-1)
Which is the desired factorization
Final result :
Final result :
4 • (x + 3) • (x - 1)
Now convert to vertex form:
y = 4 (x + 1)² - 16
What is the value of |–3.25| ?
Answer:
3.25Step-by-step explanation:
Rule: An absolute value will always be positive.
=> Referring to the rule, the absolute value of |–3.25| is 3.25.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Find Y
LOOK AT THE PICTURE
Answer:
D
Step-by-step explanation:
[tex]y = 3\sqrt{2}[/tex]
Just use pythagorean theorem, very simple.
c = [tex]\sqrt{a^{2}+b^{2} }[/tex]
In your case c is y
your answer calculated will come out to 4.24 but put in terms your teacher wants will be
[tex]y = 3\sqrt{2}[/tex]
What is the equation of the line that passes through the point ( 4 , 4 ) and has a slope of 0
Answer:
y=4
Step-by-step explanation:
x1=4,y1=4,m=0
Equation of a line: y-y1=m(x-x1)
y-4=0(x-4)
y-4=0
y=4
Please help with this !
pls help meeeeeeeeeeee
Answer:
b=22/15 or 1.46 repeating
Step-by-step explanation:
An investor invested a total of $3,500 in two mutual funds. One fund earned a 8% profit while the other earned a 5% profit. If the investor's total profit was $223, how much was invested in each mutual fund?
Answer:
i found this so srry if its wrong i saw no one answering this so i wanna help
Step-by-step explanation:
so, x*(7/100) + (3500 - x)*(4/100) = 197
=> 3x + 14000 = 19700
=> 3x = 19700 - 14000
=> x = 5700/3 = 1900
please help brainliest if correct and best explanation
Answer: 120
Step-by-step explanation:
first you distribute 5 to 11 and -17 to get (55 - 85) then you distribute 6 to 14 and -7 to now get (55-85) + (84-42) then you distribute -12 to 2 and 7 to now have (55-85) + (84-42) - ( -24 + -84) to get 120 you multiple when you distruibute for these cause its outside the parenthesis so you multiply the number by everything in the parenthesis
Are these lines perpendicular?
yes
no
Answer: yes they are perpendicular
PLEASE HELP ME!!! GIVING BRAINLIEST
Answer:
The correct answer is A
Step-by-step explanation:
hope it will help you
Interest loans are determined by ______
A. whatever the leader wants to charge
B. your credit profile
C. credit bureaus
D. the amount owed at various times
PLEASE hurry! i need help, my grades are failing and i really need correct answers!
Answer:
I think the answer is D please forgive me if I'm wrong
Lauren did not pay her January FlashCard bill in full, so her February bill
has a finance charge added on. The average daily balance is $510.44, and the
monthly periodic rate is 1.3%. What should Lauren's finance charge be on her
February statement?
Answer:
12.76
Step-by-step explanation:
because 510.44 x 2.5%= 510.44 x 0.025= 12.76
hope this helps you guys have a great day to all of you guys
The finance charge would be the amount of $6.64 on Lauren's February statement.
What is the finance charge?
The finance charge is the multiplication of the average daily balance and the monthly periodic rate.
The finance charge = average daily balance × monthly periodic rate
The bill shows an average daily balance of $510.44, and the monthly periodic rate is 1.3%.
The finance charge = $510.44 x 1.3%.
The finance charge = $6.635
Round the nearest to the hundredth,
The finance charge = $6.64
Hence, the finance charge would be the amount of $6.64 on Lauren's February statement.
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please someone help me quickkkkk
Answer: B
Step-by-step explanation: this equation is written in slope intercept form, which represents: y = mx + b. m = the slope and b = the y intercept.
The y intercept of that line 3, since that is the value of y when x equals 0. If we go from that point to the next one up. Notice how the value of x and y is changing. We go over by 1 and up by 2. That can be written as 2/-1 or 2.
HOWEVER, since the slope is going down from right to left, it has a a negative slope. Meaning the slope is a -2 not a positive 2.
Now, let's insert our values into the equation y = mx + b. That would be:
y = -2x + 3 which is B and therefore our answer
i need help with this!!
Answer:
Kim is younger than 6 years
Step-by-step explanation:
Answer:
Step-by-step explanation:
Ms. Lopez wants to buy an ipod. The ticket price shows $225. But she only brought $146.50 to the store. What percent discount would she need so that the ipod sells at the exact amount she has in her pocket?
Answer: 65.11%
Step-by-step explanation:
Amir wants to create a 4-digit password for his phone. He wants to choose 4 different numbers between 1 and 5 inclusive. Calculate the total number of 4-digit passwords that Amir can create.
Answer:
625Step-by-step explanation:
Let the digits be:
abcdEach of them include numbers 1 through 5.
For each digit there are 5 options.
Total number of combinations is:
5*5*5*5 = 625I need help and I can’t find any sadly. Help!!
Answer:
1. Given
2. Distributive Prop
3. Addition Prop
4. Division Prop
Step-by-step explanation:
A total of 379 tickets were sold for the school play. They were either adult tickets or student tickets. There were 71 fewer student tickets sold than adult tickets. How many adult tickets were sold?
A total of 225 tickets were sold to adults for the school play.
How many tickets were sold to adults?
In this problem we see the case of 379 tickets being sold to adults and students and there was 71 tickets more sold to adults. This situation is defined by following equations:
x + y = 379
x + 71 = y
Where:
x - Tickets sold to students.y - Tickets sold to adults.Now we proceed to solve the system of linear equations:
x + (x + 71) = 379
2 · x = 308
x = 154
And the number of tickets sold to adults is:
y = x + 71
y = 154 + 71
y = 225
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Which algebraic expression represents this phrase?
the product of 40 and the distance to the finish line
A. 40-d
B. 40+ d
C. 40xd
D. 40/d
Answer:
40-d
Step-by-step explanation:
Find y
Find m
Find m
Answer:
y= -21; m∠MNO=40°.
Step-by-step explanation:
1) m∠MON+m∠MNO=90°;
2) -3y-13°-2y-2°=90°;
5y=-105°; ⇒ y= -21;
3) m∠MNO=-2y-2°=42°-2°=40°.
Help me..What is the length of the missing leg? If necessary, round to the nearest tenth.
Answer:
27
Step-by-step explanation:
The triangle shown is a right triangle, indicated by the little square at the bottom right. When trying to find the length of a missing leg of a right triangle we can use the Pythagorean theorem.
Pythagorean theorem : a² + b² = c²
Where a and b = legs and c = hypotenuse ( longest side )
We are given the length of the hypotenuse as well as a leg and we need to find the other leg.
Hypotenuse (c) = 45
Leg (a) = 36
To find the length of the other leg we can plug in the given values of the hypotenuse and the leg into the Pythagorean theorem and solve for b
Recall the Pythagorean theorem : a² + b² = c²
a = 36 and c = 45
(36)² + b² = (45)²
simplify exponents : 36² = 1296 and 45² = 2025
1296 + b² = 2025
subtract 1296 from both sides: 1296 - 1296 cancels out and 2025 - 1296 = 729
b² = 729
take the square root of both sides: √(b)² = b and √729 = 27
We're left with b = 27 meaning that the length of the other leg ( or missing side ) is 27
Enter <, > or = to make the statement true. 17.001 [?] 17.0001
Answer:
17.001>17.0001
Answer:
17.001>17.0001
Step-by-step explanation:
17.001 is greater than 17.0001
4. Harry is going to send some flowers to his wife. Summerfield Florist charges $1 per rose, plus
$39 for the vase. Grayson’s Flowers, in contrast, charges $3 per rose and $15 for the vase. If
Harry orders the bouquet with a certain number of roses, the cost will be the same with either
flower shop. How many roses would there be? What would the total cost be?
The number of roses purchased will be; 12 roses
The total cost of the bouquet is; $51
Let number of roses be x
For Summerfield florists;
At $1 per rose and $39 for the vase, cost is;
C = x + 39
For grayson's flowers;
At $3 per rose and $15 for the vase,total cost is;
C = 3x + 15
We are told when he orders a certain number of roses, the cost will be the same with each flower shop.
Thus;
x + 39 = 3x + 15
3x - x = 39 - 15
2x = 24
x = 24/2
x = 12
Total cost is;
C = 12 + 39
C = $51
Read more about cost functions at; https://brainly.com/question/19300938
Solve the system by graphing.
Y=2x+10
y=x+6
First graph each line, then place a dot on the point that represents the solution to the system
Answer:
(-4,2)
Step-by-step explanation:
See attachment
PLEASE HELP ME GUYS!!
this is your answer hope it's helpful for you
Find the range for the measure of the third side of a triangle given the measures of two sides.
18 ft and 23 ft
The range for the measure of the third side of the triangle is (5, 38).
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
Given that,
Two sides of the triangle are 18 ft and 23 ft.
Let the third side of the triangle is x cm.
Since, the third side is greater than the difference of the remaining sides and less than the sum of the two sides.
Implies that,
23 - 18 < x < 23 + 18
5 < x < 38
The range of the third side varies from (5, 38).
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HELP ME PLEASE GUYS! :)
y = x is a positively sloped line, meaning that it points to the right. It also has a y-intercept of (0,0).
y = -1/2x + 3 is a negatively sloped line, meaning that it points to the left. It has a y-intercept of (0,-3).
The correct graph is Graph A.
Hope this helps! :)
Charisse collects antique salt and pepper shakers. The value of her cactus salt and pepper shakers is shown (56.28$). The value of these salt and pepper is expected to change by an average of -2 2 over 5% per year. What is the value of the salt and pepper shakers projected to be in two years? | Can I get explanation too thanks!
Answer:
$53.61
Step-by-step explanation:
It looks like the rate of change is supposed to be -2 2/5% = -2.4% per year. That means the "growth factor" is ...
growth factor = 1 + growth rate
growth factor = 1 -2.4% = 1 -0.024 = 0.976
Each year, Charisse's cactus salt and pepper shakers will have their value multiplied by this factor. After 2 years, their value will be ...
($56.28)(0.976)(0.976) = $56.28×0.976^2 ≈ $53.61
The value is projected to be $53.61 in 2 years.
describe the transformation
Answer: f(x)= Vertical stretch by a factor of 3, vertical translation down 1.
g(x)= Vertical compression by a factor of 1/3, vertical translation down 1.
Sarafina Ltd is considering two new investment projects, project A and project B. Each project would require an immediate cash outlay of Ksh. 10 million. The company expects to have available enough resources to undertake only one of the projects.The company management believe that return from existing activities and from the new projects will depend on economic environment that will prevail during the coming year. The estimated returns and probabilities of the possible economic environments are as follows:Economic environmentGoodFairBadProbability0.30.40.3Return from project A (Ksh "000")12,50012,5009,500Return from Project B (Ksh "000")10,00011,75013,000Aggregate return from existing portfolio of projects. (Ksh "000")90,000120,000130,000The company has a current market value of Ksh. 100 million. The management believe that the risks and returns per shilling of market value of their existing activities are similar to those of the stock market as a whole, including their dependence on whichever economic environment prevails. The return on treasury bills is 8% per annum.Using CAPM, advise the management of the company on which of the two projects should be accepted.
On the most recent math test, Ashley
answered 23 of the questions
correctly. If she scored 92%, how
many questions were on the test?
Answer:
25 questions total
Step-by-step explanation:
I hope this helps!