Answer:
F(x)=-x^2-4x-1
Step-by-step explanation:
According to PEMDAS, do the exponent part for the parentheses, sense it goes first.
F(x)= -(x^2+4x+4)+3
Then distribute the - sign
F(x)= -x^2-4x-4+3
Then you simplify
F(x)= -x^2-4x-1
Answer:
Hello,
Step-by-step explanation:
do I remind you of the formula (a+b)²=a²+2ab+b²
[tex]f(x)=-(x+2)^2+3\\\\=-(x^2+4x+4)+3\\\\=-x^2-4x-4+3\\=-x^2-4x-1[/tex]
Sorry i haven't see the sign minus before the parenthesis.
GIVING 50 POINTS TO WHOEVER ANSWERS CORRECTLY!!!!!!
The coordinates or rectangle ABCD are (2,-2), (8,-2), (8,-5), (2,-5).
What are the coordinates of rectangle ABCD after a translation of (x - 3, y + 5)
Answer:
(2,-2) --> (-1, 3)
(8,-2) --> (5, 3)
(8,-5) --> (5, 0)
(2,-5) --> (-1, 0)
What ordered pairs are the solutions of the system of equations in the graph below?
Answer:
(- 8, 8 ) and (- 4, 1 )
Step-by-step explanation:
The solution to a system of equations given graphically is at the points of intersection of the two
They intersect at (- 8, 8 ) and (- 4, 1 ) ← solutions
PLS HELP WILL AWARD BRAINLIEST!!!!!
Kenneth has $2,000 to invest. He is considering two investment options.
Option A pays 5.6% simple interest.
Option B pays 4.9% interest compounded annually.
Drag dollar amounts to the table to show the value of each investment option after 2 years, 4 years, and 8 years rounded to the nearest dollar.
I just did this question. I got most of it wrong , so here it is.
2 Years option B is NOT 2,111
4 years option A is NOT 2,422
4 Years option B is NOT 2,438
8 years option A IS 2,896
Building 1 (Circle) : Rotate 270 degrees counterclockwise around the origin. Building 2 (Square): Reflect across the y axis. Building 3 (Triangle): Reflect across the y axis, then translate 3 up and 2 to the left. Building 4 (L-Shape) : The points A (3, 8), B (6, 8), C (6, 3), and D (5, 3) need to be transformed to points A'' (–3, 1), B'' (–6, 1), C'' (–6, –4), and D'' (–5, –4). Avoid the pond, which is an oval with an origin at (0, 0), a width of 4 units, and a height of 2 units.
Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as some coordinates to transform are not given.
I will, however, give a general explanation.
Rotate circle 270 degrees counterclockwise
This implies that, we rotate the center of the circle and the rule of this rotation is:
[tex](x,y) \to (y,-x)[/tex]
Assume the center is: (5,3), the new center will be: (3,-5)
Reflect square across y-axis
The rule is:
[tex](x,y) \to (-x,y)[/tex]
If the square has (3,5) as one of its vertices before rotation, the new point will be (-3,5).
Reflect triangle across y-axis, then 3 units up and 2 units left
The rule of reflection is:
[tex](x,y) \to (-x,y)[/tex]
If the triangle has (3,5) as one of its vertices before rotation, the new point will be (-3,5).
The rule of translating a point up is:
[tex](x,y) \to (x,y+h)[/tex] where h is the unit of translation
In this case, h = 3; So, we have:
[tex](-3,5) \to (-3,5+3)[/tex]
[tex](-3,5) \to (-3,8)[/tex]
The rule of translating a point left is:
[tex](x,y) \to (x-b,y)[/tex] where b is the unit of translation
In this case, b = 2; So, we have:
[tex](-3,8) \to (-3+2,8)[/tex]
[tex](-3,8) \to (-1,8)[/tex]
The L shape
[tex]A = (3, 8)[/tex] [tex]A" = (-3, 1)[/tex]
[tex]B = (6, 8)[/tex] [tex]B"= (-6, 1)[/tex]
[tex]C = (6, 3)[/tex] [tex]C" = (-6, -4)[/tex]
[tex]D = (5, 3)[/tex] [tex]D" = (-5, -4)[/tex]
Required
The transformation from ABCD to A"B"C"D"
First, ABCD is reflected across the y-axis.
The rule is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex]A' = (-3,8)[/tex]
[tex]B' = (-6,8)[/tex]
[tex]C' = (-6,3)[/tex]
[tex]D' = (-5,3)[/tex]
Next A'B'C'D' is translated 7 units down
The rule is:
[tex](x,y) \to (x,y-7)[/tex]
So, we have:
[tex]A"= (-3,8-7) = (-3,1)[/tex]
[tex]B"= (-6,8-7) = (-6,1)[/tex]
[tex]C"= (-6,3-7) = (-6,-4)[/tex]
[tex]D"= (-5,3-7) = (-5,-4)[/tex]
need a little help with this
Answer:
-5/2
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -12 - 3)/(4 - -2)
= (-12-3)/(4+2)
-15/6
-5/2
Answer:
-5/2
Step-by-step explanation:
(y2-y1)/(x2-x1) = -15/6 = -5/2
Help!! Please! appreciate it !!
Answer:
I'm pretty sure you are intended to pick AAS.
Step-by-step explanation:
As it stands, AAS. But this can be an unreliable theorem. If you show that the third angles are equal (which they are) using the fact that if two angles of a triangle are equal to the corresponding angles of another triangle, then the third angle is as well. That means that you can use the much more reliable ASA.
What is the factored form of 3x+24y?
Answer:
3(x+8y)
Step-by-step explanation:
3*x +3*8y
Factor out 3
3(x+8y)
need help in these 2 last questions!!!
Question 9
The point (30,15) means that x = 30 and y = 15 pair up together.
Similarly, (40,25) means we have x = 40 and y = 25 paired up.
Apply the slope formula to get
m = (y2-y1)/(x2-x1)
m = (25-15)/(40-30)
m = 10/10
m = 1
The slope is 1.
It tells us that each time y goes up by 1, x is also increasing by 1.
slope = rise/run = 1/1
rise = 1, run = 1
The rise is the change in y, the run is the change in x.
This means the plant's height (y) goes up by 1 cm each time the number of days (x) goes up by 1.
In short, the plant's height is increasing by 1 cm per day
Answer: Choice D========================================================
Question 10
y varies directly with x, so y = kx for some constant k.
We're then told that x = -1 and y = -2 pair up together.
Let's find k based on those items
y = kx
y/x = k
k = y/x
k = -2/(-1)
k = 2
So y = kx becomes y = 2x
Then we're asked to find x when y = -4
y = 2x
y/2 = x
x = y/2
x = -4/2
x = -2
Answer: Choice DPLEASE HELP ITS TIMED!!!!
Answer:
It's A
Step-by-step explanation:
DO FOIL
-10d^4+(5+12)d^2s-6s^2=-10d^4+17d^2s-6s^2
Answer:
the first answer: -10a^4 + 17a^2s-6s^2
Step-by-step explanation:
HELP PLEASE ASAP I DONT KNOW THIS ONE QUESTION
Answer:
see image...
the three makes it "taller", the 4x , " speeds up the frequency", and the "+ [tex]\pi[/tex]"
will phase shift it to the right
Step-by-step explanation:
hlppppppppppppppppppppppppppp
Answer:
B just did the test
Step-by-step explanation:
PLEASE HELP ME ASAPP
Answer:
B. perpendicular
Step-by-step explanation:
the lines AC and CH touch creating a 90 degree angle, so they are perpendicular lines
Which of the following represents the factorization of the trinomial below? 8x²+ 10x+3
Answer:
(4x+3)(2x+1)
Step-by-step explanation:
Answer:
= (2x + 1) (4x + 3)
Step-by-step explanation:
Which of the following represents the factorization of the trinomial below? 8x²+ 10x+3
= (8x^2 + 4x) + (6x + 3)
=4x (2x + 1) + 3 (2x + 1)
Factor out common term\: 2x + 1
= (2x + 1) (4x + 3)
Find the center and radius of the circle x2+y2=4
Answer:
The center is (0,0) and the radius is 2
Step-by-step explanation:
The equation of a circle is
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
x^2+y^2=4
(x-0)^2 + (y-0)^2 = 2^2
The center is (0,0) and the radius is 2
3/z when z=2 SORRY FOR HAVING 2 QUESTIONS IN A ROW
3/z when z = 2
= 3/2
= 1.5
This is the answer
Answer:
[tex]3/z\: when\:z=2[/tex]
[tex]\frac{3}{z}=2[/tex]
[tex]\frac{3}{z}z=2z[/tex]
[tex]2z=3[/tex]
[tex]\frac{2z}{2}=\frac{3}{2}=z=\frac{3}{2}[/tex]
[tex]z=1.5\right[/tex]
OAmalOHopeO
para ayudar a una fundación, algunos estudiantes de grado séptimo decidieron reunir alimentos y donarlos. Andrea aporto 2,5 hg de arroz, mateo llevo - kg de frijol, catalina ayudo con - kg de arroz y juan coopero con 3,75 kg de frijol A) ¿ cuanto arroz y cuanto frijol recogieron en total B) ¿Qué recogieron mas, arroz o frijol?
Answer:
c
Step-by-step explanation:
What is the measure of jm
I don’t get number seven someone help
Answer:
1 1/9 =x
Step-by-step explanation:
x+2x+3x+4x
----------------------- =9
x*x
10x
-------=9
x^2
10
----=9
x
10 = 9x
10/9 =x
1 1/9 =x
Step-by-step explanation:
[tex]\frac{x + 2x + 3x + 4x}{x . x\\}[/tex] = 9
=> [tex]\frac{10x}{x^{2} }[/tex] = 9
=> [tex]\frac{10}{x}[/tex] = 9
=> x = [tex]\frac{10}{9}[/tex]
And answer (C) 1 [tex]\frac{1}{9}[/tex] = [tex]\frac{10}{9}[/tex] = x
What is the value of x
Answer:
The value of x is any number because x is a variable that's in algebra
You and your mom enter a drawing with 3 different prizes. A total of 10
people entered the drawing, and prizes are awarded randomly.
There are 720 ways to award the prizes.
What is the probability that you win first prize and your mom wins second
prize?
Answer:
7/504
Step-by-step explanation:
there are 504 possibilities of your mom winning and 7 out of tjose are the odds of her winning.
Work out, giving your answer in its simplest form:
4/7 / 2 1/3
Answer:
4
Step-by-step explanation:
4/7 × 21÷3
4/7×7
=4
this is the answer ....thank you
Which table shows a proportional relationship between a and b?
Answer:
It is c
Step-by-step explanation:
A shopkeeper marks the price of an article 40% above the cost price and allows 20% discount. If the purchase price of an article is rs 1000, find the mark price of the article.
Step-by-step explanation:
Cost Price =Rs.200
Shopkeeper Mark the price 40% above the cost price then
M.P=200+40%of200
⇒200+
100
40
×200
⇒200+80=Rs.280
Discount=20%
Then Price after discount=280−20%of280
⇒280−
100
20
×280
⇒280−56=Rs.224
Sales tax rate=10%
Then sales price=224+10%of224
⇒224+
100
10
×224
⇒224+22.4=246.4∼Rs.246
Answer:
Yes it would be Rs.246
Step-by-step explanation:
Solve: f(x) = (x + 1)(x + 1)
Answer:
f(x) = x² + 2x + 1
Step-by-step explanation:
you know how to multiply 2 expressions ?
let's say in general we have
(a + b)(c + d)
you take one part of one expression and multiply it with all parts of the other expression, then you take the second part of the first expression and multiply it with all parts of the other expression, then a potential third part, then a fourth part and so on, and you add all these things together (well, depending on the actual signs, of course).
so, we get for this simple generic example
a×c + b×c + a×d + b×d
now we use that understanding for our question here.
(x+1)(x+1) = x×x + 1×x + x×1 + 1×1 = x² + x + x + 1 = x² + 2x + 1
Shawn and Mark want to save $225.00 . Shawn has $16.00 and saves $10.00 a week . Mark has $22.00 and saves $7.00 each week . Which equation can be used to find the number of week it will take them ? A. 26x - 29x = 225
B. 38x + 17 = 225
C. 55x = 225
D. 38 + 17x = 225
Answer:
D
Step-by-step explanation:
Shawn
Let the number of weeks = w
The beginning amount = 16 dollars
The amount per week is 10 dollars
The number of weeks is 10x
Equation
Savings = 16 + 10x
Mark
Let the number of weeks = w
The beginning amount = 22 dollars
The amount per week is 7 dollars
The number of weeks is 7x
Equation
savings = 22 + 7x
But they are working together so their separate equations must be added.
Total Savings= 16 + 10x + 22 + 7x = 38 + 17x
Answer: 17x + 38 = 225
A fruitseller bought 50 kg of fruits. He sold 30 kg of fruits for the cost price of 35 kg of fruits and he sold the remaining quantity for the cost price of 18 kg of fruits. Calculate his profit or loss percent in the total transaction.
Answer:
6%.
Step-by-step explanation:
For arguments sake lets assume each fruit cost $1.
He spent $50 for the fruit.
His income from the 30 kg he sold was $35.
His income from the remaining 20Kg was $18.
Total income = $35 + $18 = $53
So his profit was 53 - 50 = $3.
= (3/50) * 100
= 6%
A bat and a ball cost 1.10$ in total. The bat costs 1 dollar more than the ball. How much does the ball cost?
Answer:
$0.5
Step-by-step explanation:
A + B = 1.10
A=1 +B
now A + B = 1.10
A - B = 1 (B cancels out)
2A = 2.10
A= 1.05
A + B = 1.10
substitute A value
1.05 + B = 1.10
B= 1.10-1.05
B=$ 0.5
Which equation represents a line that passes through ( -2 , 4 ) and has the slope of 2/5
Answer:
y = 2/5x +24/5
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 2/5 x +b
Substitute the point into the equation and solve for b
4 = 2/5(-2)+b
4 = -4/5 +b
Add 4/5 to each side
20/5 +4/5 = b
24/5 = b
y = 2/5x +24/5
Can you answer this math homework? Please!
Answer:
y = 6
Step-by-step explanation:
If x = 1, then: 3 x 1 + y = 9 (first equation)
3 x 1 + y = 9
3 + y = 9
y = 9 - 3
y = 6
Help me pleasee!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Angles 1, 2, and 3 are supplementary (they add up to equal 180). If angles 1 and 3 are 20 each, then their sum in 40, making angle 2
180 - 40 = 140. If this central angle is 140 degrees, then the measure of the arc that it cuts off also measures 140 degrees. This is not to be confused with the arc length, which is not even remotely the same thing!