Answer:
5 + i
Step-by-step explanation:
Combine real part ans combine imaginary parts
2 + 3i + 3 - 2i = 2 + 3 + 3i - 2i
= 5 + i
Answer:
5 and 1i
Step-by-step explanation:
So you’re adding the following complex numbers: (2 + 3i) + (3 - 2i)
normally if you see a (-) in front of a number, that means it’s negative so we’re gonna think about this as -2i and positive 3.
so you’re gonna want to take the 2 regular while numbers (without the variable) and then add those together. they’re like numbers so neither of them have a variable, which means they can easily be added, but you can’t add a number like 7 to a number like 9h because there’s a variable.
Now that you’ve added the 2 and 3, you get 5 right? so now you’re gonna take the 3i and -2i, and add those together. since the number 3i is bigger than -2i, the ending number after you add those is gonna be positive, and it’s gonna be 1i.
now i’m not sure if you’re supposed to make an equation out of this but you’re answer will be 5 and 1i or 5 + 1i
also if you don’t want to put 1i, 1i is the same as just “i”. so you can put 5 + i :)
hope this helped!!
The following system answer is no solution. Change one number to make the system an infinite solution and explain why it is now an infinite solution.
12y = 17 - 9x
-4y - 3x = 31
Step-by-step explanation:
The following system answer is no solution. Change one number to make the system an infinite solution and explain why it is now an infinite solution.
12y = 17 - 9x
-4y - 3x = 31
elyse has $18 on a gift card that she can use to rent movies online . the graph at the right shows the amount of money remaining on her gift card based on the number of movies she rents . find the unit rate of the graph , and describe what it means in the context of the situation.
Spiral Review A chili cook-off has adult tickets a and child tickets C. A group of visitors buys 3 adult tickets and 2 child tickets and pays a total of $26.
Another group buys 5 adult tickets and 3 child tickets and pays $42. Write and solve a system of equations to find the price of each type of ticket.
Enter the correct answers in the boxes.
Equation 1:?
Equation 2:?
adult: $ 6
child: $ 4
I just need help on making equations
Equation 1 would be: 3a+2C
Equation 2 would be: 5a+3C
The system of equations are solved and the cost of adult ticket and child tickets are $ 6 and $ 4 respectively
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the adult tickets be a
Let the child tickets be c
Group A buys 3 adult tickets and 2 child tickets and pays a total of $26
So , 3a + 2c = 26 be equation (1)
And , Group B buys 5 adult tickets and 3 child tickets and pays $42
So , 5a + 3c = 42 be equation (2)
On simplifying , we get
Multiply equation (1) by 5 and equation (2) by 3 , we get
15a + 10c = 130 be equation (3)
15a + 9c = 126 be equation (4)
Subtracting equation (4) from equation (3) , we get
c = $ 4
Therefore , the cost of child ticket is $ 4
Substituting the value of c in equation (1) , we get
3a + 2 ( 4 ) = 26
3a + 8 = 26
Subtracting 8 on both sides , we get
3a = 18
Divide by 3 on both sides , we get
a = $ 6
Therefore , the cost of adult ticket is $ 6
Hence , the system of equations are solved
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Help please will give brainliest
Answer:
the first one
Step-by-step explanation:
have a great day
14. Which is the equation of the line that passes through the points (4, 3) and (6, 2)?
A. y = x –1
B. y = 0.5x –1
C. y = -0.5x + 5
D. y = -0.5x + 1
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
The equation of the line is y = -0.5x + 5
Option C is the correct option.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of the line y = mx + c.
The line passes through (4, 3) and (6, 2).
This means,
We can find the slope using the coordinates (4, 3) and (6, 2).
Slope = m
m = (2 - 3) / (6 - 4)
m = -1 / 2
Now,
For the y-intercept.
Take any point.
(4, 3) = (x, y)
y = mx + c
3 = (-1/2)4 + c
3 = -2 + c
3 + 2 = c
c = 5
Now,
m = (-1/2) = -0.5
c = 5
The equation of the line is y = -0.5x + 5
Thus,
The equation of the line is y = -0.5x + 5
Option C is the correct option.
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please help fast!!
The two prisms below are similar. What is the value of x?
10
15
A. 1
B. 15
C. 10
D. 5
The correct option is D, the value of the missing side x is 5.
How to find the value of x?If the two prism are similar, then there is a scale factor that when multiplied by the dimensions of the blue prism, we get the dimensions of the green one.
If that scale is k, then we can write:
3k = 15
Solving for k:
k = 15/3
k = 5
Now, the correspondent side to the one that measures x, has a measure of 1 unit (in the blue prism), then the value of x is:
1*k = x
1*5 = x
5 = x
The correct option is D.
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Evaluate the expression for y = 2. Simplify your answer.
y − 12
y
=
Answer:
-10
Step-by-step explanation:
this is the answer have a great day
Which expression is equivalent to 3k +51 +61 + 2k ?
Answer:
B. 5k + 11l
Step-by-step explanation:
Add similar terms:
3k + 2k = 5k
5l + 6l = 11l
Therefore:
3k + 5l+ 6l + 2k = 5k + 11l
What percent of 70 is 84?
% of 70 is 84.
Answer:
120
Step-by-step explanation:
Just did this
Answer:
ig 174
Step-by-step explanation:
15. Simplify an expression for the area of the
rectangle shown below.
8x - 2.
4.
Answer:
Area of the rectangle A = 32 x - 8
Step-by-step explanation:
Explanation:-
Given that the length of the rectangle(l) = 8x-2
Given that the width of the rectangle (w) = 4
Area of the rectangle = length × width
A = (8x - 2) × 4
A = 32 x - 8
Final answer:-
Area of the rectangle A = 32 x - 8
HELP HELP HELP HELP FAST
Answer:
[I didn't do it right]
Step-by-step explanation:
[Deleted since it has been said to be wrong and I would not like to spread misinformation]
PLS I NEED HELP I ONLY HAVE 15 MINS I BEG YOU PLEASE!! :(
In 1984 the average American used to eat 55.7 pounds of chicken. This was 2.8 pounds more than the 1982 average. By what percent did chicken consumption increase from 1982 to 1984?
To solve this, we need to use the z statistic. The formula for z score is:
z = (x – u) / s
where x is sample value = less than 90, u is the sample mean = 90.6, s is the standard deviation = 17.2
z = (90 – 90.6) / 17.2
z = -0.035
From the standard distribution tables:
P (z = -0.035) = 0.4860
Therefore there is about 48.60 % chance that it will be less than 90 pounds
PLEEASEEE HELP ME NOONE WILL HELP ME PLEASE HELP ME
Answer:
63.97 sheets of paper
Step-by-step explanation:
40-18.25 = 21.75
21.75 divided by 0.35 = 63.97
Pweeze help and i will give brainliest UwU <3
Answer:
See below for answers
Step-by-step explanation:
1st blank: 2*2*2*2*2*2*2
2nd blank: 2
3rd blank: 7*7
4th blank: 7
5th blank: no
6th blank: doesn't equal
Find the value of x
Answer:
The value of x is 72 degrees
Step-by-step explanation:
PLS HELP ASAP (THE PICTURE IS BELLOW)
Answer:
10
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
The sales tax on a $25,000 car is $1375. What is the sales tax rate?
PLEASE SHOW HOW YOU SLOVED IT!!! THX <3
Answer:
$11 sales tax per $200
Step-by-step explanation:
1375/25,000 = 11/200
Answer:
5.5%
Step-by-step explanation:
1375/25000= 5.5%
25000 * 5.5% = $1375.00
Find the slope and y-intercept of the line in each graph.
HELP PLEASE 15 POINTS!
Olivia was reading about the Earth’s history. She grew interested in the Quaternary period in the Cenozoic era and studied it further. The Quaternary period is best known for which two major events?
A.the rise of reptiles and flowering plants
B. the rise of mammals and swimming mammals
C. the ice ages and the rise of humans
D. the rise of dinosaurs and other reptiles
The Quaternary period is best known for the ice ages and the rise of humans.
What is the quaternary period?The numerous cycles of glacial expansion and retreat, the extinction of several species of big animals and birds, and the spread of humans are all associated with the Quaternary Period.
Due to the existence of at least one permanent ice sheet (Antarctica), the whole Quaternary Period, including the present, is referred to as an ice age; yet, the Pleistocene Epoch was usually drier and colder than the current period.
The Holocene is the most recent of the geochronological time divisions that make up the quaternary period, which began around 2.6 million years ago with the commencement of the Northern Hemisphere glacial (Zalasiewicz et al., 2015). Glacier deposits and proof of glacial erosion are the Quaternary's most distinctive features at middle and high latitudes. The main characteristic of high mountains like the Alps, Himalayas, Andes, and Rockies is glacial erosion.
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Here is a story: Lin bought 4 bags of apples. Each bag had the same number of apples. After eating 1 apple from each bag, she had 28 apples left.
Answer:
she started with 32 apples and ended with 28
there were 8 apples in each bag but after she ate one from each bag, there are only 7 apples in each bag
Step-by-step explanation:
what is 5 to the power of 6 over 5 to the power of 2
Answer:
625
Step-by-step explanation: 5^6/5^2
multiply 5^6 and than devide your answer with 5^2
Answer:
625
Step-by-step explanation:
5^6=15625
5^2=25
15625/25=625
Which expression is equivalent to 6 x 2 + 13 x + 5? (2x + 5)(3x - 1) (2x - 5)(3x + 1) (2x + 1)(3x + 5) (2x - 1)(3x - 5)
Answer:
(2x + 1)(3x + 5)
Step-by-step explanation:
I really need help please help me
Answer:
2.82
Step-by-step explanation:
I tried my best so im sorry if it isnt correct
x4-5x2-24=0
(x2+3) (x2-8)=0
x2 +3=0
x= 2.82
Solve for t. (Answer must be completely simplified)
10t=11
Answer:
T can be equal to 1 1/10 or 1.1 or 11/10
Step-by-step explanation:
10t=11
So divide by 10 on both sides.
t=11/10 which can be simplified to t=1 1/10 or t=1.1
:)
29
2
Solve the inequality
- +3>
W
a.
c.
W <3 or w > 6
w <3 or w > 9
W <0 or w > 6
W <0 or w > 9
b.
d.
Step-by-step explanation:
Let's solve your inequality step-by-step.
2
w
+3>
29
w
3w+2
w
>
29
w
Let's find the critical points of the inequality.
3w+2
w
=
29
w
3w+2=29(Multiply both sides by w)
3w2+2w=29w(Multiply both sides by w)
3w2+2w−29w=29w−29w(Subtract 29w from both sides)3w2−27w=0
3w(w−9)=0(Factor left side of equation)
3w=0 or w−9=0(Set factors equal to 0)
w=0 or w=9
Check possible critical points.
w=0(Doesn't work in original equation)
w=9(Works in original equation)Answer:
w<0 or w>9
please answer asap.
In a school of 450 students, 110 of them are in the choir, 240 of them are in the band and 60 students are in the choir and the band.
Find the probability that a student chosen at random is in the choir or the band or both
40x divided by 10=28
Answer:
x = 7
Step-by-step explanation:
40x ÷ 10 = 28
40x ÷ 10 × 10 = 28 × 10
40x = 280
40x ÷ 40 = 280 ÷ 40
x = 7
Answer:
x=7
Step-by-step explanation:
40x/10 = 28
40x/10 * 10 = 28 *10
40x= 280
40x/40 = 280/40
x = 7
The store price of an electronic gadget is $100. If the markup percent set by the store is 45%. Calculate the markup price set by the store on the electronic gadget.
Answer:
145$ is the markup price i think
Step-by-step explanation:
100$+ 45%=x
100/100%=1
45%*1=45
100$+45$= 145$
how to write 13.208 in word form
Please help i really need help on a b and c