Answer:
(x+2)^2 + (y+1)^2 =13
Step-by-step explanation:
Expand the function.
4
f(x)
=
(2x + 3)4
Answer:
16 x ^4 − 96 x^ 3 + 216 x ^2 − 216 x + 81
Step-by-step explanation:
Use the binomial expansion theorem to find each term. ∑
∑The binomial theorem states ( a + b ) n = n ∑ k = 0 n C k ⋅ ( a n − k b k ) . 4 ∑ k = 0 4 ! ( 4 − k ) ! k ! ⋅ ( 2 x ) 4 − k ⋅ ( − 3 ) k
Expand the summation. 4 ! ( 4 − 0 ) ! 0 ! ⋅ ( 2 x ) 4 − 0 ⋅ ( − 3 ) 0 + 4 ! ( 4 − 1 ) ! 1 ! ⋅ ( 2 x ) 4 − 1 ⋅ ( − 3 ) + 4 ! ( 4 − 2 ) ! 2 ! ⋅ ( 2 x ) 4 − 2 ⋅ ( − 3 ) 2 + 4 ! ( 4 − 3 ) ! 3 ! ⋅ ( 2 x ) 4 − 3 ⋅ ( − 3 ) 3 + 4 ! ( 4 − 4 ) ! 4 ! ⋅ ( 2 x ) 4 − 4 ⋅ ( − 3 ) 4
Simplify the exponents for each term of the expansion. 1 ⋅ ( 2 x ) 4 ⋅ ( − 3 ) 0 + 4 ⋅ ( 2 x ) 3 ⋅ ( − 3 ) + 6 ⋅ ( 2 x ) 2 ⋅ ( − 3 ) 2 + 4 ⋅ ( 2 x ) ⋅ ( − 3 ) 3 + 1 ⋅ ( 2 x ) 0 ⋅ ( − 3 ) 4
Simplify each term.
= 16 x ^4 − 96 x^ 3 + 216 x ^2 − 216 x + 81
2p+3q=-7
3p+5q=-12
What is the solution in an ordered pair?
Answer:
(p, q ) = (1, - 3 )
Step-by-step explanation:
2p + 3q = - 7 → (1)
3p + 5q = - 12 → (2)
Multiplying (1) by 3 and (2) by - 2 and adding the result will eliminate p
6p + 9q = - 21 → (3)
- 6p - 10q = 24 → (4)
Add (3) and (4) term by term to eliminate p
0 - q = 3
-q = 3 ( multiply both sides by - 1 )
q = - 3
Substitute q = - 3 into either of the 2 equations and solve for p
Substituting into (1)
2p + 3(- 3) = - 7
2p - 9 = - 7 ( add 9 to both sides )
2p = 2 ( divide both sides by 2 )
p = 1
Divide 31.50 / 2.50 step by step. Write is out on paper if you can. :D
Answer:
12.6 you divide 31.50 by 2.50 pretend the decimal signs aren't there.
6
How much
10 500
A pile of bricks weighs 22 kg.
18750g of bricks are removed. What weight is left?
Answer:
3,250g
Step-by-step explanation:
22kg = 22,000g - 18,750g = 3250g
Jane has 125 pairs of shoes if she's worn 20% of her shoes how many pairs has she worn
GIVING BRAINLIEST
Wynter likes to take the long way to school each morning. He walks 4 blocks south and then 4 blocks west to arrive at the school. Today he is running late and decides go directly to school to save time. (Assume there is nothing obstructing his path.) If one block is 320 feet, how many feet will he travel if he goes directly to school? Round to the nearest tenth of a foot.
Distance travel by Drew = 1,315.21 feet (Approx)
What is distance?Distance is a measure of how far apart two objects or locations are using numbers. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage. Sometimes, the symbol |AB| is used to represent the distance between two points.
Given:
Total block in north = 3
Total block in west = 3
1 block = 310 feet
Find:
Distance travel by Drew
Computation:
Total distance in north = 3 × 310 = 930 feet
Total distance in west = 3 × 310 = 930 feet
Distance travel by Drew = Total distance in
north? + Total distance in west?
Distance travel by Drew = v9302 + 9302
Distance travel by Drew:
= V864,900 + 864,900
Distance travel by Drew = V1,729,800
Distance travel by Drew = 1,315.21 feet (Approx)
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Simplify the expression 4x^3x2x^3
2√8 -3√50+√32 AHIHIHI
Answer:
-9.89949493661
Step-by-step explanation:
Answer 5 and 6 please
Answer: 5) F:(1,-1)
6) W:(-3,-2)
Step-by-step explanation:
!20 points! Here are two expressions whose product is a new expression, A:
Answer:
Whats A?
Step-by-step explanation:
I desperately need this answer. Thank You so much and have a great day
Answer:
D
Step-by-step explanation:
p(t)=2t+5
p(10)=2(10)+5
p(10)=20+5
p(10)=25
please give me a brainliest since this took a lot of thinking
En el salón de Esteban hay 28 alumna y solo han regresado a clases presenciales 45% de sus compañeros ¿cuantos alumnos faltan por regresar?
15 students are yet to return for the face to face classes
Given the following parameters
Total number of students in Esteban's classroom = 28 students
If 45% of classmates have returned to face-to-face classes, the total number of classmates that have returned to face-to-face classes is 0.45 * 28 = 12.6
People that are yet to return = 28 - 12.6
People that are yet to return = 15.4
This shows that about 15 students are yet to return for the face to face classes
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HELP!!
FAST!!
Lola needs to sign 96 invitations. Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3
seconds to sign her full name. Going by the accuracy of the stopwatch, which is the most accurate determination for
the number of seconds Lola needs to sign all 96 invitations?
O 508 seconds
O 510 seconds
509 seconds
O 508.8 seconds
Answer:
5.3 seconds is needed for one signature.
Hence, for 96 signatures, it would take
[tex]96*5.3=508.8[/tex] seconds.
The number of seconds Lola needs to sign all 96 invitations is,
⇒ 508.8 seconds
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Lola needs to sign 96 invitations.
And, Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3 seconds to sign her full name.
Since, No of invitation's =96
And, Time required to sign 1 invitation = 5.3seconds
So, Let the time required to sign 96 invitation = x
Hence, We get;
x = 5.3 x 96
= 508.8 seconds
Thus, The number of seconds Lola needs to sign all 96 invitations is,
⇒ 508.8 seconds
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What are the solutions to the equation |X – 3|= 14?
x= 11 only
Ox= -11 and x = 17
x= 17 only
x= -11 and x=11
Answer:
{-11,17}
Step-by-step explanation:
|X – 3|= 14
There are two solutions to an absolute value, one positive and one negative
x-3 = 14 and x-3 = -14
Add 3 to all sides
x-3+3 =14+3 x-3+3 = -14+3
x = 17 x = -11
x = {-11,17}
I thought of a number I called this number n I multiplied my number by the sum of 12 and 18 I added 43 to the result and I got 103 what is n equal to
[tex](n \times (12 + 18)) + 43 = 103[/tex]
[tex]30n + 43 = 103[/tex]
Subtract both sides 43
[tex]30n + 43 - 43 = 103 - 43[/tex]
[tex]30n = 60[/tex]
Divide both sides by 30
[tex] \frac{30n}{30} = \frac{60}{30} \\ [/tex]
[tex]n = 2[/tex]
Audrey & Jack begin a candlelight
dinner at 5pm with a 9-inch candle. At
8pm, their candle is only 3 inches.
What is the average rate of change of
the height of the candle per hour?
Answer:
-2 inches per hour
Step-by-step explanation:
Finding the average rate of change is just like finding the slope. So, take the y values (height) and subtract them and divide that by the difference in the x values (time).
( 3 - 9 ) / ( 8 - 5 )
= -6 / 3
= -2 inches per hour
Helppppp it's due todayyyyyyyy.
Answer:
65.1mm
Step-by-step explanation:
(4*3+4*3+5.7*3/2)*2
(12+12+8.55)*2
32.55*2
65.1mm
Ashely burns 0.48 calories for every 20 feet she runs.How many calories would she burn after running 2 miles?
Answer:
253.44 calories
Step-by-step explanation:
2 miles = 10560 feet
10560/20 = 528
528 · 0.48 = 253.44
the perimeter of an equilateral triangle is 14.4 cm. Find out the length of the side of that triangle in decimal fraction. (step by step)
Answer:
43.2 is the correct answer happy
What is the slope of the line passing through the points (−3, 4) and (2, −1)?
3/5 this is a fraction by the way
1
−1
−53
[tex](x_1,y_1) = (-3,4),~~ (x_2,y_2) = (2,-1)\\\\\text{Slope,}~ m = \dfrac{y_2 - y_1}{x_2 - x_1} =\dfrac{-1-4}{2+3} = \dfrac{-5}5 = -1[/tex]
Riley is saving up to buy a new television. She needs a total of $1,164.38. Riley has saved $200.66 already and earns $80.31 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television?
The police are searching for a bank that has been on the run for two hours. Based on his running speed, the police believe he could be anywhere within an 8.5 mile radius of the bank. Find the area and circumference of the region in which they must search for the suspect. Round to the nearest whole unit.
Answer:
π is equivalent to 3.14
Circumfrance = 53
area = 227
Step-by-step explanation:
π is equal to 3.14
Circumfrance = 8.5*2*π
So 8.5 * 2 is 17 times π is 53.38
round to nearest whole number is 53
area is π * radius squared so
8.5 * 8.5 =72.25
* π is 226.865
round to the nearest whole number is 227
RE
Which graph represents the function f(x) = -X2 + 5?
N
10-
8-
6
2
o
-10 -56-4
ca
M
4
6
8
10
X
do ou
Answer:
I can't interpret the data the way it is presented. Are there two columns? I'll assume "-x2" is really "-x^2."
I've attached a plot of the function. Check to see which of your points fall on the line.
Step-by-step explanation:
y = -x^2 + 5
Find the slope of the line that passes through (7, 1) and (2, 3).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
-2/5
Step-by-step explanation:
slope equation is as follows -
(y1-y2)/(x1-x2)
now we just put (7,1) and (2,3) into the formula
(1-3)/(7-2)
-2/5
True or False:
Rachel used 12 centimeters of tape to wrap 3
presents.
Her unit rate is 12.
Select one:
True
O False
Check
No links.
Answer:
False
Step-by-step explanation:
The unit rate should be 9
Answer:
i think false
Step-by-step explanation:
if im wrong forgive if am right brainliest pls:)
calls for
1
4
4
1
cup of sugar and
2
3
3
2
cup of flour. Janelle wants to proportionally increase these amounts to get a new recipe using one cup of sugar.
Answer:
Use a converation table and figure out 4/4-1/4 and that would be how much you would add for a new cup of sugar
pls help this is annoying me :) <3
Answer:
f(0) = 2, x = - 2, x = - 1
Step-by-step explanation:
f(0) means what is the value of y when x = 0
x = 0 is a point on the y- axis
Thus when x = 0 , y = 2 , that is
f(0) = 2
(b)
The roots are the values of x on the x- axis where the graph crosses
This occurs at x = - 2 and x = - 1 ← roots
The median of the observations, 8,11,15, x +1, X +3, 30, 35, 40, 43, Arranged in ascending Order in 22 Find the value of x
Middle terms are x+1 and x+3
(X+1+x+3)/2= 22
2x+4 = 44
2x = 40
X = 20
PLEASE HELP IT’S DUE TMR!!
Answer:
see below
Step-by-step explanation:
just reduce to 3 digits before the decimal place and count how many are behind the decimal for what power the 10 is, not including numbers that were already behind the decimal
a. 107.92*10^2
b. 376.932*10^0
c. 998.461*10^3
Answer:
When rounding significant figures the standard rules of rounding numbers apply, except that non-significant digits to the left of the decimal are replaced with zeros.
Step-by-step explanation:
(a) 10792 ≈ 10800
(b) 376.932 ≈ 377
(c) 998461 ≈ 998000
A line passes through the points (4, 4) and (6, 10). What is its equation in slope-intercept form?