Let f(x) = 2(x − 1)² + 3 and h(x) = -f(x+3) - 1
Write h in terms of x
f(x+3)
[tex]\\ \sf\Rrightarrow 2(x+3-1)^2+3[/tex]
[tex]\\ \sf\Rrightarrow 2(x+2)^2+3[/tex]
[tex]\\ \sf\Rrightarrow 2(x^2+4x+4)+3[/tex]
[tex]\\ \sf\Rrightarrow 4x^2+8x+8+3[/tex]
[tex]\\ \sf\Rrightarrow 4x^2+8x+11[/tex]
Now
[tex]\\ \sf\Rrightarrow h(x)[/tex]
[tex]\\ \sf\Rrightarrow -f(x+3)-1[/tex]
[tex]\\ \sf\Rrightarrow -4x^2-8x-11-1[/tex]
[tex]\\ \sf\Rrightarrow -4x^2-8x-12[/tex]
[tex]\\ \sf\Rrightarrow 4(-x^2-2x-3)[/tex]
22= -11k what does k equal
Answer:
k = -2
Step-by-step explanation:
Divide 22 by -11 as well as -11k by -11
(You have to divide both sides by the number that k is to find your answer)
22 divided by -11 = -2
-11k divided by -11 = k
meaning you would get the answer of k = -2
What is the scale factor that takes the large triangle to the small triangle?
Step-by-step explanation:
such a scale factor applies to all sides and lines.
we see that DE is 12 units, and AB is 4 units.
so,
12×f = 4
f = 4/12 = 1/3 is the scale factor
control : check the other side
FE = 6 units
6 × 1/3 = 2
so, the corresponding side in the small triangle must be 2 units long.
and indeed, CB is 2 units long. all correct.
154 sq. cm is the area of a circle
so find its radius
[tex]\pi =\frac{22}{7}[/tex]
Answer:
r = 7 cm
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( where r is the radius )
Given A = 154 , then
πr² = 154 , that is
[tex]\frac{22}{7}[/tex] r² = 154 ( multiply both sides by 7 to clear the fraction )
22r² = 1078 ( divide both sides by 22 )
r² = 49 ( take square root of both sides )
r = [tex]\sqrt{49}[/tex] = 7 cm
SHOW WORK PLS.
y = x ^ 2 - x - 11
y = - x - 7
solve by substitution!
Find the greatest common factor of 15c and 8c2.
-5(c-4)=
a*-20-5c
b*20-5c
c*20+5c
???????
Answer:
b
Step-by-step explanation:
distributive property-
-5c-(-20) which is -5c+20 which can also be 20-5c
My question that I need help on
Answer:
Step-by-step explanation:
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
Step-by-step explanation:
What is the slope of a line if x equals (-2 and y equals 4?
Answer:
can't be determined unless you give two points which is two sets of x and y points
What is the slope of the following line?
The slope of the line is 1/-2
You only have to rise one time, then go over to the left two times in order to get to another point.
Write add, divide, multiply, and subtract in the correct order to complete the following sentence.
When using the order of operations to evaluate an expression,
Always:____and____before you____and____.
Answer:
what grade are you??.......
in a supermarket, bottles of lemonade are on a buy one get one half price offer.
The normal price of lemonade is 82p.
How much would it cost to get exactly three bottles of lemonade using this offer?
£
Answer: 114p
Step-by-step explanation:
Hope it helps
Eva is flying a kite, holding her hands a distance of 2.75 feet above the ground and
letting all the kite's string play out. She measures the angle of elevation from her
hand to the kite to be 25°. If the string from the kite to her hand is 130 feet long, how
many feet is the kite above the ground? Round your answer to the nearest tenth of a
foot if necessary.
Answer: 57.7 feet above the ground
sin 25= opposite/hypotenuse
= x/130
130 sin 25 = x
x=54.940374
54.940374+2.75 = 57.7
Joyce's mother buys some shares of Company A on Day 0.
On Day 7, the share price of Company A is $4.60.
If she sells all her shares of Company A and A buys 2000 shares of Company B on Day 7, she would receive $7400.
On Day 12, the share price of Company A is $4.80 and the share price of Company B is $0.50 less than that on Day 7.
If she sells all her shares of Company A and buys 5000 shares of Company B on Day 12, she would have to pay $5800. Find
(i) the number of shares of Company A Joyce's mother has,
(ii) the share price of Company B on Day 12.
Please help aNd thank you!!!
Answer:
(i) 4000
(ii) $5.00
Step-by-step explanation:
Let no. of shares of Company A be X
Let share price of Company B on Day 7 be $y
Share price of Company B on Day 12 = $(y-0.50)
(i)
Consider Day 7:
4.60x - 2000y = 7400................ (1)
Consider Day 12:
4.80x - 5000(y-0.50) = -5800
4.80x - 5000y + 2500 = -5800
4.80x - 5000y = -8300............... (2)
(1)*2.5:
11.5x - 5000y = 18500................. (3)
(3)-(2):
11.5x - 4.80x - 5000y + 5000y = 18500 + 8300
6.70x = 26800
x = 4000
(ii)
Sub. x = 4000 into (1):
4.60(4000) - 2000y = 7400
-2000y = 7400 - 18400
-2000y = -11000
y = 5.5
Share price of Company B on Day 12
= 5.50 - 0.50
= $5.00
What is 16 divided by 5%=?
Answer:
320
Step-by-step explanation:
I am assuming we are trying to find 16/5%.
5% is equal to 1/20, so we can make this into :
[tex]\frac{16}{\frac{1}{20} }=16*\frac{20}{1}[/tex]
This is equal to 16 x 20 = 320
Solve this system. Write your answer as an ordered pair. -5x + y = -3 3x - 8y = 24
Hello there, this is how we will solve your problem.\
here is the equation you gave us.
[tex]{\huge{\boxed{\mathbb{EQUATION}}}[/tex]
[tex]\begin{bmatrix}-5x+y=-3\\ 3x-8y=24\end{bmatrix}[/tex]
we can isolate [tex]x[/tex] and say [tex]x=\frac{-3-y}{5}[/tex]
Now here is our equation, [tex]\begin{bmatrix}3\left(-\frac{-3-y}{5}\right)-8y=24\end{bmatrix}[/tex] After we simplify it we get [tex]\begin{bmatrix}\frac{9-37y}{5}=24\end{bmatrix}[/tex], solve this and we get that [tex]y=-3[/tex], Before we said [tex]x[/tex] equals [tex]-\frac{-3-y}{5}[/tex], So now we can plug in our value that [tex]y[/tex] equaled, and now we have [tex]\frac{-3-(-3)}{5}[/tex]. Two negatives equal a positive and we get that [tex]x=0[/tex].
_________________
[tex]y=-3[/tex] [tex]x=0[/tex]which table can be represented by the equation y=3x+2
To make a certain shade of paint, an artist needs to mix yellow with blue paint at a ratio of 3 to 5. He needs 32 ounces of paint.
Solution:
Step-by-step explanation:
I guess the question is how many ounces are needed per paint. right ?
the colors are mixed in a ratio 3:5.
what that tells us is that there are 8 units of the whole paint (3+5), and yellow gets 3 out of these 8, and blue 5 out of these 8.
the total is 32 ounces.
so, each of the 8 units represents
32/8 = 4 ounces.
and now we know :
yellow has 3 units
3×4 = 12 ounces
blue has 5 units
5×4 = 20 ounces
Jessie has $120 saved and earns $40 each month in
allowance. Peter has $180 saved and earns $20 a month
in allowance. If they both save their entire allowances,
how long will it take before Jessie and Peter have saved
the same amount of money?
Answer:
3 months
Step-by-step explanation:
Jessie starts with $120 and get $40 a month
peter has $180 and get $20 a month
1 month passed Jessie now has $160 and Peter has $200
2 months passed Jessie now has $200 and Peter has $220
3 months passed Jessie now has $240 and Peter has $240
answer the ones you want to. At least answer one…
I have to do 2 pages of homework I need this done I have school tomorrow..
Have no idea how to do this. Please help I beg you.
Answer:
9. First Five terms
If n=0. Then,
[tex] \frac{4(0) - 5}{2}[/tex]
[tex] \frac{0 - 5}{2} = \frac{ - 5}{2} [/tex]
If n=1. Then,
[tex] \frac{4(1) - 5}{2} [/tex]
[tex] \frac{4 - 5}{2} = \frac{ - 1}{2} [/tex]
If n=2. Then,
[tex] \frac{4(2) - 5}{2} [/tex]
[tex] \frac{8 - 5}{2} = \frac{3}{2} [/tex]
If n=3. Then,
[tex] \frac{4(3) - 5}{2} [/tex]
[tex] \frac{12 - 5}{2} = \frac{7}{2} [/tex]
If n=4. Then,
[tex] \frac{4(4) - 5}{2} [/tex]
[tex] \frac{16 - 5}{2} = \frac{11}{2} [/tex]
If n=5. Then,
[tex] \frac{4(5) - 5}{2} [/tex]
[tex] \frac{20 - 5}{2} = \frac{15}{2} [/tex]
If n=6. Then,
[tex] \frac{4(6) - 5}{2} [/tex]
[tex] \frac{24 - 5}{2} = \frac{19}{2} [/tex]
write the slope intercept form of the equation through (2,-4) parallel to y=-1
Answer:
y = -x - 2Step-by-step explanation:
Parallel lines have equal slopes.
Given slope, m = - 1 and point (2, -4).
Slope- intercept form:
y = mx + bTh line will be:
y = -x + bSubstitute x and y- values of the point into equation to find the value of b:
- 4 = - 2 + bb = 2 - 4b = - 2The line is:
y = -x - 2Slope=m=0
Parallel lines have equal slopes
Equation of line in point slope form
y-y1=m(x-x1)y+4=0(x-2)y+4=0y=-4one of the same side exterior angles of two parallel lines is 20 degrees less than the other same side exterior angle find the measures of the two angles (pls help i will give 25 points)
Answer:
25 I am not a fan of the gas increases when the piston is pushed in the next war
3.please help me out
Answer:
125
Step-by-step explanation:
Step-by-step explanation:
5×5²
=5×5×5
=125
index form= 5³
Hello!! :3
Please answer the question below.
-hello10olleh (hello)
Answer:
sequence B
Step-by-step explanation:
Answer:
IT SHALL BE Bbbbbbbbbbbbbbbbbbbbbbbbbbbb
HoPe ThIs HeLpS
my Christmas present to you
Answer:
thankss
Step-by-step explanation:
Help please. I dont know how to do this :((
Answer:
You need the distance of all four sides so that is:
2 * (5y +1) + 2 * (2y -3) which equals
10y + 2 + 4y -6 and that equals
14y -4
Step-by-step explanation:
After her party, Kayla had 4 4/5 trays of brownies left over. Her 2 party guests each took home the same amount of leftover brownies. How many trays of brownies did each guest take home?
Answer:2.4 or 12/5
Step-by-step explanation: (4 4/5)/2 = 2.4
Find the value of
-12
20
36
-10
Answer:
20 is the answer.Step-by-step explanation:
(-4)² + (-2)²=> 16 + 4=> 20Conclusion:
Therefore, 20 is the answer.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Option B
find m angle 1 117+33+x=180
Answer:
angle x = 30 degrees
Step-by-step explanation:
180-117-33= x
180 - 117- 33= 30
117+33+x=180
117+33=150
180-150=30
x=30
117+33+30=180
180=180
honestly i dont know what you wanted me to do so i did what i know