Answer:
y = 2(x + 3)² - 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Using the method of completing the square
y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms
= 2(x² + 6x) + 14
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² + 6x
y = 2(x² + 2(3)x + 9 - 9 ) + 14
= 2(x + 3)² - 18 + 14
= 2(x + 3)² - 4 ← in vertex form
Which is the coefficient in the expression 23y + 5?
Answer:
23
Step-by-step explanation:
the coefficient is the number attached to the variable
Answer:
23
coefficient-23
variable-y
constant-5
5 friends ate pizza . Each friend ate 2/3 of a pizza . How much pizza did they eat in total..ASAP PLEASE
Answer:
3 1/3 pizzas
Step-by-step explanation:
5 * (2/3) = 10/3 = 3 1/3 pizzas
Answer:
3 and 1/3 pizzas
is how many pizzas u need
Please help no fake answers or links please
Answer:
I think B as all the dots are near the line B
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Sonya has 5 sandwiches. She cuts each sandwich into fourths and gives away 6 pieces. How many 1/4 size sandwiches does she have now?
Answer:
She has 14 1/4 pieces left
Step-by-step explanation:
5 divided into 1/4 pieces will be 20. 20-6 equals 14. :)
use commutative property to write an expression equivalent to 5 + 7 + 9
ASAP
Original price: $330 discount percent: 15%
Answer:
$280.5
Step-by-step explanation:
Answer:
$280.5
is the answer <3
What is the probability of landing on a 9 and then landing on a 7?
Answer:
what are we landing on? D 10s D20s?...
Step-by-step explanation:
:/
I don’t know this and I need help thank u ppl
Answer:
100 square feet
Step-by-step explanation:
36 square feet = 6 feet sides
64 square feet = 8 feet sides
6^2 + 8^2 = 10^2
10^2 = 100
A man has Rs 1900. he lent some of it at 5% p.a and rest at9% p.a. The total amount of interest which he got after4 years was Rs 580.Wwhat was the sum
ans= Rs650,Rs 1250
Answer:
The sum is Rs 1,250 and Rs 650
Step-by-step explanation:
Let the amounts be represented as $x and $y
The sum of both is 1900
Thus;
x + y = 1,900 •••••(i)
Mathematically, the interest on the amount borrowed is;
I = PRT/100
where p is the principal, representing the amount borrowed
R is the rate
T is the time
for the first amount of $x ; we have interest as;
I = (x * 5 * 4)/100 = 20x/100
for the second, we have
I = (y * 9 * 4)/100 = 36y/100
The sum of both is 580
Thus;
20x/100 + 36y/100 = 580
20x + 36y = 58000 •••••(ii)
From equation i;
x = 1,900 - y
Substitute this into equation ii
We have this as;
20(1900-y) + 36y = 58,000
38000 - 20y + 36y = 58,000
16y = 58000 - 38000
16y = 20,000
y = 20,000/16
y = 1250
From equation 1;
x + y = 1900
x = 1900-y
x = 1900-1250
y = 650
James needs to fill in three blanks with letters. Find the number of ways he can fill them in if:
a. the letters can be repeated
b. the letters cannot be repeated
Answer:
A. The letters can be repeated
Step-by-step explanation:
Hope it helps
#CarryOnLearning
Graph
plz step by step
Answer:
Step-by-step explanation:
The equation shown in the question can be seen graphed in the image attached below. As you can see with the graphed equation the variable x can be any real number except for -1. This is because a -1 would cause the denominator of the fraction to be equal to 0, and a fraction with a denominator as 0 is a null value and does not exist.
image down below plz help
Answer:
A
Step-by-step explanation:
I feel strongly that it is A.
Find the value of x that makes the quadrilateral a parallelogram.
2x + 3
X +7
Answer:
the value of x is 4
Step-by-step explanation:
i think that is the value of x
CAN SOMEONE PLZ HELP ME?? PLZ DO YOU KNOW ABOUT Coordinate Planes??!! AHH
Answer:
Step-by-step explanation:
Answer:
point A is (0.75, 0.75)
Step-by-step explanation:
Explain how solving -7y > 161 is different from solving 7y > -161.
help will give brinlest
Answer:
Dividing with negatives will result in a flip in the signs.
Step-by-step explanation:
In the first equation, -7y>161, if you solve it, you will need to divide both sides by -7.
[tex]-7y > 161\\ \\\\[/tex]
Since you are involving a negative, you will have to switch the signs. That means that if you have solved this, the answer would be:
y < -23Notice the change in signs.
---------------------------
Now in the second equation, the constant (161) is negative. So if you solve this,
[tex]7y > -161[/tex]
You will only need to divide both sides by 7, which is a positive number. That leaves the sign to stay the same, so the answer would be:
y > -23-----------------------If you look at the signs in both answers, they are flipped.Have a nice day!Jameson is seeking a loan with a simple interest rate of 3% per year. If he wants to borrow $8,000, the interest charge after 4 years will be
Answer:
$960
Step-by-step explanation:
8000*0.03=240
240*4=960
A baby's crib has an area of 690:square inches and a perimeter of 106 inches.What are the dimensions of the crib
Answer:
The crib is 30 inches wide and 23 inches long.
Step-by-step explanation:
Assuming that the crib is rectangular, then the crib has a length L and a width W.
And remember that for a rectangle of width W and length L, the perimeter is:
P = 2*L + 2*W = 2*(L + W)
And the area is:
A = L*W
In this case, the perimeter is 106 in, then:
P = 106in = 2*(L + W)
And we also know that the area is 690 in^2
Then:
A = 690in^2 = L*W
Then we have a system of equations:
106in = 2*(L + W)
690in^2 = L*W
To solve this, first, we need to isolate one of the variables in one of the equations.
Let's isolate L in the first one:
106in/2 = L + W
53 in = L + W
53in - W = L
Now we can replace this in the other equation:
690in^2 = L*W = (53in - W)*W = 53in*W - W^2
690in^2 = 53in*W - W^2
Now we need to solve this for W.
This is a quadratic equation:
W^2 - 53in*W + 690 in^2 = 0
The solutions of this equation are given by Bhaskara's formula:
[tex]W = \frac{-(-53in)\pm \sqrt{(-53in)^2 - 4*1*(690in^2)} }{2} = \frac{57in \pm 7in}{2}[/tex]
Then the two possible solutions of W are:
W = (53in + 7in)/2 = 30in
W = (53in - 7in)/2 = 23in
We can choose any one of these, so let's choose W = 30in
If we replace this in the equation: "53in - W = L"
We can find the value of L:
53in - 30in = 23in = L
Then we have:
W = 30in
L = 23in
find the solution of given expression,
[tex] \sqrt{128 \times 2} [/tex]
Answer:
solution:
[tex] \sqrt{128 \times 2} [/tex]=[tex] \sqrt{16²} [/tex]=±16 is your answer
Please Help me with this question. Will give Brainllest
Answer:63
Step-by-step explanation:
Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
Help with question 9 please .
Answer:
I wanna say that it's A. curved lines.
Sakura wants to analyze the effect of drinking alcohol on the functioning capacity of the liver. Her two research associates will conduct two separate studies about the same topic. Ricochet use an experiment approach. Tituba will use an observation study approach. Determine what will be the difference between both studies.
Answer:
They will come out as the same but the process of the study might have a different time stamp of the study or they might see different things happening in the process.
Step-by-step explanation:
PLEASE HELP ME RIGHT AWAY!!!!!!
Answer:
C) increase by 0.25
Step-by-step explanation:
5 - 4.75 = +0.25
Answer:
The answer is C
Step-by-step explanation:
If you add 7 to the list then the number/mean will increase by 0.25
I might be wrong so im sorry if i am.
Ben bought 3.2 pounds of oranges.
The oranges cost $1.60 per pound.
How much money did Ben spend on
oranges?
Answer:
$5.12
Step-by-step explanation:
Multiply the cost per pound price by how many pounds of oranges Ben bought
1.60 * 3.20 = 5.12
There are 200 marbles in the bag. John picks 10 marbles out of
the bag and 6 of them are red. What would be an estimate for
the number of red marbles in the bag?
Answer:
120
Step-by-step explanation:
10 x 20 = 200
thus 6 x 20 is 120
This helped me so much thank you!!!!!!
Answer:
Your profile picture I love it
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answer:
In the first one answer is r²
In second one answer is 3
Step-by-step explanation:
Yes it is Algebra with different powers
In first one (6r4+4r) +(__- 2r4 + 3r) = 4r4 + r2 + 7r
Like terms are added:
6r^4- 2r^4 + 4r + 3r +____ = 4r^4 + r2+ 7r
4r^4+7r +___ = 4r^4 + r^2 + 7r
Therefore ___ = r^2
In second one:
(__ -8x - x^2)-(4x^2 -7 +6x) = -5x^2 +14x +10
Open the brackets
__ -8x - x^2-4x^2 +7 -6x = -5x^2 +14x +10
Add like terms
__ -14x -5x^2 + 7= -5x^2 +14x +10
Therefore
___ + 7 = 10
___ = 10 -7 = 3
Can someone plz help me with this one problem plz!!!
Answer:
Yes
Step-by-step explanation:
Since Lucia was not able to see which shirt she was picking, ( i think), this would be random.
PLEASE ANSWER FAST
Which expression is equivalent to 5x + 5y + 5y?
a) 5xy
b) 5×10y
c) 5+xy
d) 5x + 10y
Answer:
A
I took a picture of your mom and my phone ran out of storage.
Can someone help me please
Answer:
6*6+16*20
=320+36
=356 so it's C
Answer:
C: 356 sq ft.
Step-by-step explanation:
Imagine a rectangle filling the empty space in the polygon.
Using this, we get 440 sq ft.
Now subtract the area that you filled in.
440-(14x6)=A
440-84=A
356=A