Answer:
-2z+8
Step-by-step explanation:
[tex]3z+2+(-5x)+6\\\\=3z+2-5x+6\\\\=(3z-5z)+(2+6)\\\\=(-2z)+(8)\\\\=-2z+8[/tex]
What is the sum of √-2 and √-18?
A) 4√2
B) 4√2i
C) 5√2
D) 5√2i
Answer: OPTION B
Step-by-step explanation:
First of all, you need to know the concept of imaginary number or i.
i (imaginary number)= √-1 ⇔ In real number world, √-1 will be undefined,
and thus this is called imaginary number
------------------------------------------------------------------
√-2=√2 × √-1
√2=√2√-1= i√-2=√2× √-1
√-2=√2 × i
√-2= √2 i
---------------------------------------
√-18=√9 × √2 × √-1
√9=3 ⇒ This is a perfect square√2=√2√-1=i√-18= √9 × √2 × √-1
√-18= 3 × √2 × i
√-18= 3√2 i
----------------------------------------
Addition in radical numbers is as usual as normal number. HOWEVER, only numbers that has the same radical (i.e 2√3 and 7√3) can combine.
√-2 + √-18
=√2 i + 3√2 i
=4√2 i
Hope this helps!! :)
Please let me know if you have any question
how to factorise the following: a, e, i, j and m
Answer:
a) 2x² - 32 = 2(x-4)(x+4)
e) 3x² - 75 y² = 3(x-5y)(x+5y)
i) (x+5)² - 16 = (x+1)(x+9)
j) (x-4)² - 9 = (x-7)(x-1)
m) (3x+5)² - x² = (2x+5)(4x+5)
Step-by-step explanation:
Basically first you expand the expression into terms and then you refactor again.
45 + n= 9( 8n+ 5) – 3n
Answer:
45+n = 9 (8n+5)-3n
or, 45+n = 72n+45-3n
or, 45-45=72n-4n
or, 68n=0
or, n=0
25cg : 4g in lowest terms.
Step-by-step explanation:
We need to convert 25 cg : 4g in lowest terms.
We know that, 1 gram = 100 centigram
1 cg = (1/100) gram
25 cg = [tex]\dfrac{25}{100}[/tex] grams
To write 25 cg : 4g in lowest terms, the step to be done are as follows :
[tex]\dfrac{25\ cg}{4\ g}=\dfrac{\dfrac{25}{100}}{4}\\\\=\dfrac{\dfrac{25}{25\times 4}}{4}\\\\=\dfrac{1}{16}[/tex]
It means that the lowest term for 25 cg : 4g is [tex]\dfrac{1}{16}[/tex]
can you put this equation > 3 in a number line.
Answer:
>3 means any number on the number line larger than 3, so the answer is yes
16=5/4(6x+20)
what's it's simplest form
Answer:
-6/5
Step-by-step explanation:
Answer: x=0 or 6/5
Step-by-step explanation:
i need help! please!!!!!!!!
Step-by-step explanation:
3x4=12
3.14
12-3.14
solve for x in this equation A=Bxt+C
Answer:
[tex]x = \frac{A - C}{Bt} [/tex]Step-by-step explanation:
A = Bxt + C
To solve for x move C to the other side of the equation
That's
Bxt = A - C
Divide both sides by Bt to make x stand alone
That's
[tex] \frac{Bxt}{Bt} = \frac{A - C}{Bt} [/tex]We have the final answer as
[tex]x = \frac{A - C}{Bt} [/tex]Hope this helps you
who is correct though and why?
Answer:
Correct
Step-by-step explanation:
i need something to work with im not understanding your question
what is the quotient of
[tex]2 \frac{2}{7} \div \frac{4}{7} [/tex]
[tex]2 \frac{2}{7}[/tex] ÷ [tex]\frac{4}{7}[/tex]
First, let's turn the first fraction into an improper fraction.
[tex]\frac{16}{7}[/tex] ÷ [tex]\frac{4}{7}[/tex]
Since both of these fractions share the same denominator, we can drop the denominator and simply divide the numerators.
16 ÷ 4 = 4
The quotient = 4
Simplify the following numerical expression as much as possible: 53*25= ?
Answer:
1325
Step-by-step explanation:
53 x 25 is 1325
Not sure how it can be simplified more.
GK = 24, HJ = 10, and GH = HI = IJ. Find each length.
Greetings from Brasil....
Let us call X the equal distances GH = HI = IJ
GH = X
HI = X
IJ = X
Note that HJ = HI + IJ, so
HJ = X + X
10 = 2X
X = 5
Looking at the figure we can conclude that:
GJ + JK = GK
GJ = GH + HI + IJ
GJ = 15
GJ + JK = GK
15 + JK = 24
JK = 9
GH = X = 5HI = X = 5IJ = X = 5JK = 9Each length of the line segments GH = HI = IK and JK will be 5 and 9.
What is a line segment?A line segment in mathematics has two different points on it that define its boundaries.
A line segment is sometimes referred to as a section of a path that joins two places.
GK = 24, HJ = 10, and GH = HI = IJ.
Then the length HI will be
HJ = HI + IJ
10 = HI + HI
2HI = 10
HI = 5
Then the length of the line segments GH, HI, and IJ will be
GH = HI = IJ = 5
The length of the JK will be
GK = GJ + JK
24 = 3GH + JK
24 = 3 * 5 + JK
JK = 24 - 15
JK = 9
Then each length of the line segments GH = HI = IK and JK will be 5 and 9.
More about the line segment link is given below.
https://brainly.com/question/25727583
#SPJ5
HELP PLEASE! idk the answer :(
Answer:
A because 63/4 is 15.75
Bob has $3.69 in pennies, dimes, and quarters. The number of pennies is three more than the number of dimes. The number of quarters is twice the number of dimes. How many of each coin does he have?
Answer:
9 pennies, 6 dimes, 12 quarters.
Step-by-step explanation:
Pennies = $0.01
Dimes = $0.10
Quarters = $0.25
Let x be the number of dimes. Then (x + 3) is the number of pennies and 2x is the number of quarters.
We have x($0.10) + (x + 3)($0.01) + 2x($0.25) = $3.69
x($0.10) + (x + 3)($0.01) + 2x($0.25) = $3.69
$0.1x + $0.01x + $0.03 + $0.5x = $3.69
$0.61x = $3.66
x = 6.
Therefore Bob has 9 pennies, 6 dimes and 12 quarters.
Factor -2x^3-4x^2-6x
Answer:
-2x(x^2+2x+3)
Step-by-step explanation:
-2x^3-4x^2-6x
You can only factor out the 2x the other part is not factorable.
Each side of the regular pentagon is 5 centimeters. What is the perimeter?
Answer:
It will be 25 cm.
Ted has these cards:5,2,6.
Make a list of all the 3 digit numbers he can make using the cards
Answer:
256
265
526
562
625
652
3[x + 3(4x – 5)] = 15x – 24
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 0.875}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{3[ x + 3(4x - 5)] = 15x - 24}[/tex]
Distribute 3 through the parentheses
⇒[tex] \sf{3[ x + 12x - 15 ] = 15x - 24}[/tex]
Collect like terms : 12x and x
⇒[tex] \sf{3[ 13x - 15 ] = 15x - 24}[/tex]
Distribute 3 through the parentheses
⇒[tex] \sf{39x - 45 = 15x - 24}[/tex]
Move 15x to left hand side and change it's sign
Similarly, move 45 to right hand side and change it's sign
⇒[tex] \sf{39x - 15x = - 24 + 45}[/tex]
Collect like terms
⇒[tex] \sf{24x = - 24 + 45}[/tex]
Calculate
⇒[tex] \sf{24x = 21}[/tex]
Divide both sides of the equation by 24
⇒[tex] \sf{ \frac{24x}{24} = \frac{21}{24}} [/tex]
Calculate
⇒[tex] \sf{x = 0.875}[/tex]
Hope I helped!
Best regards! :D
13. Find the perimeter of a square whose side has a length of 125 cm.
Answer:
500
Step-by-step explanation:
if one side is 125 cm on a square all the sides are equal so you should multiply 125x4 which gives you 500
Answer:
[tex]\boxed{\bold{\huge{\boxed{\sf Perimeter = 500\ cm}}}}[/tex]
Step-by-step explanation:
Perimeter of square = 4(Length)Given that Length = 125 cm
So,
Perimeter = 4 ( 125 )
Perimeter = 500 cm
A turtle walks 7 feet per minute how many yards per hour
Answer:
140
Step-by-step explanation:7 ft per minute; there are 60 minutes in an hour therefore 7 x 60 = 420ft in hour
there are 3 feet in yard, 420 feet divided by 3 = 240
What’s the 10th term in 2,8,14,20
Answer: 56
Explanation: Add 6 to your sum every time until you get to the 10th term. It should look like this:
2
8
14
20
26
32
38
44
50
56
This is a total of 10 numbers.
Hope it helps!
please solve this problem
Answer:
(4) 0
Step-by-step explanation:
Given:
cos²27°×cos²34°×...×cos²167 = ?Looking at the angles measures, they form series of:
27, 34, 41, ..., 167This is AP with the first term of 27 and common difference of 7
We can see one of the terms of this AP is 90
27+9*7 = 27 + 63 = 90Since cos 90° = 0 ⇒ cos²90° = 0 and therefore given series equals to zero as one of the terms of multiplication is zero.
So correct answer choice is Option 4) 0
4(−x + 4) = 12 multi step equation. show all steps with only numbers not words please
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
So we have the equation:
[tex]4(-x+4)=12[/tex]
First, divide both sides by 4. The left side will cancel. The right will reduce to 3:
[tex](4(-x+4))/4=(12)/4\\-x+4=3[/tex]
Subtract 4 from both sides. The left cancels:
[tex]-x=-1[/tex]
Divide both sides by -1:
[tex]x=1[/tex]
So, the value of x is 1.
And we're done!
Answer:
x = 1
Step-by-step explanation:
4(-x + 4)= 12
Step 1 : Distribute
-4x + 16 = 12
Subtract 16 from both sides
-4x = -4
Divide
[tex]\frac{-4x}{-4}[/tex] = [tex]\frac{-4}{-4}[/tex]
x = 1
Is 63,459 greater or less than 62,935
Answer:
greater than
Step-by-step explanation:
63,459 is 542 more than 62,935
Answer:
63,459 is less than 63,935
Step-by-step explanation:
63,459 is less than 63,935 because in 63,459 the hundreds place is 400 and in 63,935 the hundreds place is 900.
Hope this helps, please mark brainliest. You dont have to if you dont like it
5 MINS LEFT! A group of students decides to sell pizzas to help raise money for their senior class trip. They sold a pepperoni pizza for $14, a sausage pizza for $11, and a cheese pizza for $10. At the end of their sales, the class sold a total of 400 pizzas and made $4560. The students sold 80 more cheese pizzas than pepperoni pizzas. How many of each type of pizza were sold?
Answer:
The number of cheese pizza sold is 200 cheese pizzas
The number of sausage pizza sold is 80 sausage pizzas
The number of pepperoni pizza sold is 120 pepperoni pizzas
Step-by-step explanation:
The price at which the pepperoni pizza was sold is $14
The price at which the sausage pizza was sold is $11
price at which the cheese pizza was sold is $10
The total number of pizzas sold = 400
The total amount made = $4560
The number of cheese pizza sold = 80 + the number of pepperoni pizzas
Let the number of cheese pizza sold = C
The number of sausage pizza sold = S
The number of pepperoni pizza sold = P
We have;
C + S + P = 400..........................(1)
C = 80 + P...................................(2)
10·C + 11·S + 14·P = $4560.......(3)
Substituting the value for C from equation (2) in equation (1), we get;
C + S + P = 400 = 80 + P + S + P = 400
2·P + S = 400 - 80 = 320
∴ S = 320 - 2·P..........................(4)
Substituting the value for C from equation (2) and the value for S from equation (4) into equation (3), we get;
10·C + 11·S + 14·P = $4560
10·(80 + P) + 11·(320 - 2·P) + 14·P = 4560
800 + 10·P + 3,520 - 22·P + 14·P = 4560
4,320 + 2·P = 4560
2·P = 4560 - 4,320 = 240
P = 240/2 = 120
P = 120
C = 80 + P = 80 + 120 = 200
C = 200
S = 320 - 2·P = 320 - 2×120 = 320 - 240 = 80
S = 80
Therefore;
The number of cheese pizza sold = C = 200
The number of sausage pizza sold = S = 80
The number of pepperoni pizza sold = P = 120.
Solve the equation for x. For each step, identify the property used to convert the equation. 18=6(2x – 8)
Answer:
x=11/2Step-by-step explanation:
solution
We going to do this process in a stepwise manner
given the expression
18=6(2x – 8)
1. open bracket on the left-hand side (distributive property)
18=12x-48
2. collect like terms
18+48=12x
66=12x
3. divide both sides by 12 we have
x= 66/12
x= 33/6
x=11/2
Consider f(x)=x+7 and g(x)=x^2-1 find (f(g(x))
Write as a fraction and simplify. (use the symbol / in your answer).
0.878787.....
Answer:
.878787.. to a fraction is 29/33
Step-by-step explanation:
[tex]\frac{(0.87*100)-0}{99}[/tex] = 87/99
Simplify 87/99, which is 29/33
rewrite 2.31 (1 repeating) as a simplified fraction.
[tex]\frac{20.8}{9}[/tex]
Set [tex]x[/tex] to 2.31 with 1 repeating.
[tex]x=2.31...[/tex]
Now multiply the value by 10 so we can have canceling values.
[tex]10x=23.1...[/tex]
Then we can use elimination.
[tex]10x=23.1...[/tex]
[tex]x=2.31...[/tex]
[tex]9x=20.8[/tex]
[tex]x=\frac{20.8}{9}[/tex]
Hope this helps.
頑張って!
Answer:
Set to 2.31 with 1 repeating.
Now multiply the value by 10 so we can have canceling values.
Then we can use elimination.
Hope this helps.
Step-by-step explanation:
A parachutist's rate during a free fall reaches 117 miles per hour. What is this rate in feet per second? At this rate, how many feet will the parachutist fall during 10 seconds of free fall? In your computations
Answer:
1. rate = 171.6 feet/second
2. 1716 feet
Step-by-step explanation:
1. To convert from miles per hour to feet per second,
1 mile = 5280 feet
117 miles = 617760 feet
1 hour = 3600 seconds
Thus the rate in feet per second will be;
= [tex]\frac{617760}{3600}[/tex]
= 171.6 feet/second
2. In 10 second of free fall,
speed = [tex]\frac{distance}{time}[/tex]
distance = speed x time
= 171.6 feet/second x 10 second
= 1716 feet
The parachutist would fall 1716 feet in 10 seconds of free fall.