Answer:
-2/3
Step-by-step explanation:
complete the square for x^2+5x
Answer:
(x + [tex]\frac{5}{2}[/tex] )² - [tex]\frac{25}{4}[/tex]
Step-by-step explanation:
Given
x² + 5x
To complete the square
add/ subtract ( half the coefficient of the x- term )² to x² + 5x
= x² + 2([tex]\frac{5}{2}[/tex] )x + [tex]\frac{25}{4}[/tex] - [tex]\frac{25}{4}[/tex]
= (x + [tex]\frac{5}{2}[/tex] )² - [tex]\frac{25}{4}[/tex]
7.
6. Mr. Phuong stayed in a hotel room for 2
nights that cost $210. The hotel room tax
rate in the city is 12%. What is the total cost
for the hotel room? (Example 2)
Answer:
The total cost of the hotel room is $235.20
Step-by-step explanation:
Here, we want to find the total cost of the hotel room
Total cost of hotel room = Cost of hotel room for the two nights + tax
Tax = 12%
Total cost = 210 + 12% of 210
Total cost = 210 + (12/100 * 210)
Total cost = 210 + 25.2
Total cost = $235.2
Jada is putting a border around her rectangular garden. The garden is 12.63 meters long and 3.28 wide. Jada estimates the perimeter of her garden by rounding the length and width to the nearest whole number. What equation shows her estimate?
Answer: 12.63 rounded to 13 and 3.28 rounded to 3 the perimeter is 32
Step-by-step explanation: If you need any more help Im
usually available between 9a.m - 3:50 pm
Answer
Part A: C
Part B: B
Part C: 15.91
Step-by-step explanation:
first round the 2 numbers by the tenths. Then round the numbers by ones(whohle number). After that, since ther are four sides we do 12.63 + 3.28 + 12.63 + 3.28 which equals to 15.91.
What is the midpoint of the segment whose endpoints are (-4, 2) and (2,-2)?
Answer:
(-1,0)
Step-by-step explanation:
Midpoint formula: (coordinate 1 + coordinate 2)/2
(-4+2)/2 = -1
(-2+2)/2 = 0 0 divided by anything =0
What is the value of min the figure below? In this diagram, AABD ABCD.
8
m
C
A. 136
B. 572
C. 32
Ο Ο Ο
D. V632
E. 147
o
F. 274
HELP
This is equivalent to 2*sqrt(34)
=======================================================
Explanation:
First let's find BD
The three triangles are similar, allowing for the proportion to be set up
AD/BD = BD/DC
9/x = x/8
9*8 = x*x
x^2 = 72
x = sqrt(72)
BD = sqrt(72)
Now we can use the pythagorean theorem. Focus on triangle BDC.
The legs are BD = sqrt(72) and DC = 8. Let's find the hypotenuse
(BD)^2 + (DC)^2 = (BC)^2
(sqrt(72))^2 + (8)^2 = m^2
72 + 64 = m^2
136 = m^2
m^2 = 136
m = sqrt(136)
We can simplify this but your teacher has chosen not to. If you want to simplify, then,
m = sqrt(136)
m = sqrt(4*34)
m = sqrt(4)*sqrt(34)
m = 2*sqrt(34)
help me find the value of x
Reflect: You found that ( 3 + 4 x ) + ( 2 - x ) = 5 + 3x
Suppose x=i (the imaginary unit)
What equation do you get?
Answer must include words/explanations
(guys please help!!)
Answer:
We start with the equation:
(3 + 4x) + (2 -x) = 5 + 3x
Now we replace:
x = i
This is just changing all the "x"s in the equation by "i"s:
(3 + 4i) + (2 - i) = 5 + 3i
This can be viewed as 3 complex numbers:
z1 = 3 + 4i
z2 = 2 - i
z3 = 5 + 3i.
Now, let's check if equality remains true:
(3 + 4i) + (2 - i) = 5 + 3i
The first step is to use the associative and commutative properties to separate the real and imaginary parts.
(3 + 2) + (4i - i)
5 + (4 - 1)*i
5 + 3i
Then the equality remains true.
And this will be true always, for anything that we feed into the x in our initial equation:
(3 + 4x) + (2 -x) = 5 + 3x
This is because x is a variable, so it can be evaluated in any number, and the equality will still be true.
what are the x and y intercepts of the line 3x-4y=192
Answer:
x intercept (64,0)
y intercept (0,-48)
Step-by-step explanation:
Which of the following irrational expressions are located between 6 and 8 on the number line? Select three that apply.
Answer:
A) √7 + 4
B)2√15
D)√23+√8
Step-by-step explanation:
The options are:
A) √7 + 4
B)2√15
C)8-√5
D)√23+√8
E)√80-3
Analysing A.
√7+4 = 2.64575131106459 + 4
√7 + 4 = 6.64575131106459
Analysing B
2√15 = 2 * 3.87298334620741
2√15 = 7.74596669241483
Analysing C
8-√5 = 8 - 2.23606797749978
8 - √5 = 5.76393202250021
Analysing D
√23+√8 = 4.79583152331271 + 2.82842712474619
√23+√8 = 7.62425864805890
Analysing E
√80-3 = 8.94427190999915 - 3
√80-3 = 5.94427190999915
After the above analysis;
Options A, B and D answer the question
Answer: 7+4
5/15
/80-5
Step-by-step explanation:
Solve: x3 = 27
A) X = 3
B) X= 3 and x = -3
C) X = 9
D) X = 9 and x = -9
Answer:
C
Step-by-step explanation:
27/3=9
Just do cube root of 27.
x has to equal 3 because -3 cubed is -27, 9 cubed is 729, and -9 cubed is -729.
X = 3, The answer is choice A.
what would an equation be for 6 bags of flyers each bag containing 12 flyers
Answer:
6x12
Step-by-step explanation:
Answer:
6 multiplied by 12
Step-by-step explanation:
you have 6 bags, each bag contains 12 flyers
Please help!! I chose an answer but I’m not sure! DUE IN 3 MINS
Answer:
Its c
Step-by-step explanation:
Because the f(x)= 0 is on the x line
and -2, 1, or 3 only
Which equation. Represents a line that is parralel to y = -2x-5
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Two parallel lines have the same slopes thus ;
The line which we want should in form like this :
y = - 2 x + h
(( h )) can be any positive and any negative number.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
A girl scout troop hiked 5.8 kilometers southeast in 1.5 hours. What was
the troop's velocity?
O 3.9 km/h southeast
о
4.9 km/h southeast
5.8 km/h southeast
O 7.2 km/h southeast
Answer:
the answer is 3.9 km/h southeast
Is 2 - 91 positive or negative?
Answer:
Negitive
Step-by-step explanation:
2-91= -89
Answer:
negative
Step-by-step explanation:
what is the slope of the line?
Answer:
I am pretty sure it's -3/1, correct me if I am wrong!
Step-by-step explanation:
Answer:
-3/1
Step-by-step explanation
You see where the line meets the corners of the squares on the graph. The equation for slope is m=rise over run. You rise three squares, and go to the right one.
Is 23 x 10^6 written in scientific notation
No , 23 x 10⁶ is not written in scientific notation.
Values that are either too huge or too little to be conveniently expressed in decimal form can be expressed using scientific notation (typically would result in a long string of digits).
It is also referred to as scientific form, standard index form, and standard form in the UK. This base ten notation is often used by scientists, mathematicians, and engineers because it can make various mathematical procedures easier.Non-zero values are written in the form in scientific notation m × 10ⁿ or where n is an integer and the coefficient m is a non-zero real number, m times ten raised to the power of n. (usually between 1 and 10 in absolute value, and always written as a terminating decimal). The real number m is known as the significand or mantissa, and the integer n is known as the exponent.So 23 x 10⁶ written in exact scientific notation is given by 2.3 × 10⁷ .
Therefore 2.3 × 10⁷ is written in scientific notation whereas 23 x 10⁶ is not in scientific notation.
To learn more about scientific notation visit:
https://brainly.com/question/18073768
#SPJ1
The sluggers go out for pizza after a game. Seven large pizzas plus two medium pizzas together have 100 slices. Five large pizzas plus six medium pizzas have 108 slices. How many slices are in each size?
Answer:
Large pizzas= 12 Medium= 8
Step-by-step explanation:
if you 12 by 5 and 8 by 6 and add them together you get 108
The soccer team is
conducting a fundraiser selling long-sleeved T-shirts for $14 and short-sleeved T-shirts for $10.
So far the team has sold less than $200 worth of the two types of T-shirts. Which inequality best represents x, the
number of long-sleeved T-shirts they have sold, and y, the number of short-sleeved T-shirts they have sold?
O x + y < 200
O x + y > 200
O 14x + 10y > 200
O 14x + 10y < 200
Answer
it’s c
Step-by-step explanation:
you fool I have been trained in your Jedi arts by count dooku
I got a hundo on the test
Inequalities help us to compare two unequal expressions. The inequality that best the T-shirts they have sold is 14x+10y<200.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
Given the cost of long-sleeved T-shirts is $14, while the short-sleeved T-shirts cost $10. Also, it is given the number of long-sleeved T-shirts is represented by x, while the number of short-sleeved T-shirts is represented by y. Therefore,
14x + 10y
Since the sales done is less than $200, therefore, the inequality that best the T-shirts they have sold is,
14x + 10y < 200
Hence, the inequality that best the T-shirts they have sold is 14x+10y<200.
Learn more about Inequality:
https://brainly.com/question/19491153
#SPJ5
There are 120 people at a party 1/3 of the peopl leave the party. Work out the number of people still at the party
Answer:
40
Step-by-step explanation:
how i did it probably isn't normal but first i did 1/3 of 100 and that's 33.33
then i did 1/3 of 20 and that's 6.66 then you just add them together
33.33+6.66 and that's 39.99
then just round up
If m<3 =60, find the m<8
Answer:
30
Step-by-step explanation:
Naomi and Claire are painting a mural. Naomi paints 2 square feet per hour and has already painted 16.5 square feet.
Claire paints 4 square feet per hour and has already painted 7.5 square feet.
How many more hours will it take for Naomi and Claire to paint an equal total number of square feet?
Answer:
4 hours
Step-by-step explanation:
16.5+x2
7.5+x4
16.5+2=17.5+2=19.5+2=21.5+2=23.5
7.5+4=11.5+4=15.5+4=19.5+4=23.5
Which of the following gives the area, A, of a circle with a diameter of 6
Determine whether the graph is the graph of a function. (5 points)
Answer: It is not a function
Step-by-step explanation: It does not pass the vertical line test
Find the measure of the exterior angle.
Answer:
108°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
2a is an exterior angle, thus
2a = a + 10 + 44 = a + 54 ( subtract a from both sides )
a = 54
Thus 2a = 2 × 54 = 108° ← exterior angle
A whale can stay under water for 5,399 seconds. The Guinness world record holder held his breath under water for 1,443 seconds. How much longer can the whale remain under water than the human? *
Answer:I got 3956 seconds, hope it helps.
Step-by-step explanation:
What slope perpendicular to: m=5/8
Answer:
[tex] - \frac{8}{5} [/tex]
10 POINTS Solve for y: 5y + 2y -4y = 30
Answer:
10
Step-by-step explanation:
5y + 2y -4y = 30
To solve first combine like terms
5y+2y-4y=3y
Then isolate your variable, do this by dividing both sides by 3.
3y=30
3y/3=30/3
Finally, simplify
y=10
The table below shows it's time to make a prototype cars to travel to different distances what is a constant rate of change in the situation in miles per hour
0.92
The table below shows it's time to make a prototype cars to travel to different distances what is a constant rate of change in the situation in miles per hour
find the difference between the actual values of the two sixes in the number 6036