Step-by-step explanation:
Lets FOIL it out:
6+4i+3bi+2bi²=13i
6-4i-13i+3bi+2bi²=0
6-9i+3bi+2bi²=0,but i²=-1
3bi-2b=9i-6
b(3i-2)=9i-6
Divide both sides by (3i-2)
b=(9i-6)/(3i-2)
Rationalize the expression by multiplying through by the conjugate of (3i-2) which is (3i+2)
b=(27i²+18i-18i-12)/(9i²+6i-6i-4),again i²=-1
b=27i²-12/9i²-4
b=-27-12/-9-4
b=-39/-13
b=3
what is this this a-a=-5
Answer:
a = 2.5
Step-by-step explanation:
a - a = -5
-2a = -5
5 = 2a
5 by 2 = 2.5
Therefore a = 2.5.
Find the diameter of each circle given the radius.
radius=6cm
radius=5cm
radius=9cm
radius=8cm
radius-1.5cm
radius=18cm
radius=4cm
Answer:
1. 12cm.
2. 10cm.
3. 18cm.
4. 16cm.
5. 3cm. (or -3 if your question was negative.)
6. 36cm.
7. 8cm.
Explanation:
To find the radius of a circle, simply divide the diameter by 2.
With this being said we can just add on top of the given radius.
Example:
The given radius is 5cm. What is 5cm + 5cm? 10cm.
Thus, getting our answer.
Answer:
1. 12cm.
2. 10cm.
3. 18cm.
4. 16cm.
5. 3cm. (or -3 if your question was negative.)
6. 36cm.
7. 8cm.
Explanation:
To find the radius of a circle, simply divide the diameter by 2.
With this being said we can just add on top of the given radius.
Example:
The given radius is 5cm. What is 5cm + 5cm? 10cm.
Thus, getting our answer.
Step-by-step explanation:
Cost of shoes: $99.99
Markup: 9%
Tax: 4%
Find the Total
Answer:
$113. 35
Step-by-step explanation:
first multiply 99.99 by 0.09 and then add that to 99.99
after that multiply 108.99 by 0.04 and you get 113.35
Jenny peddeld her bike 11 miles in 66 minuite if she traveled at the same speed how far would she travel in 2 hour
Answer:
20 miles
Step-by-step explanation:
Let d be the distance. Then:
11/66=d/120
66d=1320
d=20 .......................
9x = -36
i wasn't given instructions for this question and i got all the other ones right but im having issues with this one for some reason.
any answers will be greatly appreciated.
Answer:
The answer is -4
so x= negative 4
On Saturday, 200 people visited a farmer’s market. Of those who visited, 40% were children. How many children visited the farmer’s market on Saturday?
Answer:
80 children
Step-by-step explanation:
(200 * 40) /100 = 80
pls help me with this...... :).....it's urgent........
Why urgent?
See attachment for math work and answer.
I gave you two different answers for 2b.
How do you convert 18,420.15427 into money form?
Find the equation of the line that is parallel to the given line and passes through the given point.
y = 0.6x − 6; (−3, 2)
The equation is y = .
plz help with this math problem
Answer:
D. -3r^2 + 11r + 9
Step-by-step explanation:
8r + 4r^2 + 3r + 9 - 7r^2
shift somethings around so it's easier to tell
4r^2 - 7r^2 + 8r + 3r + 9
simplify/add
-3r^2 + 11r + 9
Richard estimates that he can apply fertilizer to 4,486 square feet of grass in 3/4 hour. How many square feet of grass can Richard fertilize per hour?
Find the slope of the line 6x + 5y = -5
Answer:
Using the y=mx+b formula: -6/5
Step-by-step explanation:
6x + 5y = -5
5y = -6x -5
y = -6/5x -1
The slope would be -6/5, meaning the line would travel 5 to the right and 6 down, starting from the coordinate 0, -1.
Hope I helped.
You might keep your money in a bank, but have you heard of a time
bank? This online service allows users to trade
services with one
another without exchanging money. For example, a hairdresser gives
someone a haircut for one hour of credit in the time bank. The
hairdresser could then use that credit to have a plumber come work for
her for an hour. Time banks are useful for people who can't arrange
direct trades. The plumber might not want a haircut, but he can work
for the hairdresser and earn credit to use with someone else.
How does the detail "The plumber might not want a haircut, but he can work
for the hairdresser and earn credit to use with someone else" best support
the central idea that time banks are a convenient way to get things done?
Explanation:
Of course, the plumber might not want a haircut, but he might have a wife, a fiancee, or a sister who may need the services of a hairdresser so working for the hairdresser would earn him credit that can be used by any of these people. So in a sense, he is getting things done for others.
Therefore, the time-bank service solves a problem by allowing people to receive services without exchanging money.
Write a system of equations with the solution (5, 2).
2t+8=10 solve the equation
Answer:
t = 1
Step-by-step explanation:
2t + 8 = 10
2t = 2 (-8 on both sides)
t = 1 (divide 2 on both sides)
Answer:
t = 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
2t + 8 = 10
Step 2: Solve for t
Subtract 8 on both sides: 2t = 2Divide 2 on both sides: t = 1Joshua babysits for his sister after school. He is paid
$3.00 for each hour of babysitting. He has saved $43.50
and wants to buy a toy that costs $70. What is the least
amount of hours Josh needs to babysit to purchase the
toy?
Plz help
Answer:
9 hrs
Step-by-step explanation:
Joshua has already saved $43.50 so you subtract $43.50 from 70 which leaves you with $26.50. Joshua still needs $26.50.
$26.50 divided by $3 per hr is 8.833 repeating. Obviously you can’t work 8.833 hrs so you round it up to 9. So, Joshua has to work for at least 9 hrs more.
Hope this helps :)
the sum of 2 positive integers is 10. the difference of their reciprocals is 3/8. find both positive integers
Answer:
The 2 integers would be: 2 and 8
Step-by-step explanation:
2 + 8 = 10
Reciprocal of 2: 1/2
Reciprocal of 8: 1/8
1 / 2 - 1 / 8 = 4/8 - 1/8 = 3/8
If Allison wants to find 80% of 630, which table should she use?
Answer:
The last one.
Step-by-step explanation:
Answer:
It is the last one
Step-by-step explanation:
I have this questions
Find the x-intercept and the y-intercept of the graph of the equation.
2x + 6y = 36
Answer:
(0,6), and (18,0)
Step-by-step explanation:
2x +6y = 36
6y = -2x +36
y =(-2/6) x+ 36/6
y=(-1/3)x +6
compare this equation to y=mx+b where b is the y-intercept so the
y-intercept is a point at (0, 6)
to find the x-intercept make the equation equal to 0
(-1/3)x+6=0 subtract 6 in both sides
(-1/3)x = -6 cross multiply
-x = 3*-6
x=18 so the
x-intercept is a point at (18,0)
Label the vertex of this function[tex]y=-3(x-1)(x+4)[/tex]:
Answer:
vertex = ( - [tex]\frac{3}{2}[/tex], [tex]\frac{75}{4}[/tex] )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
Given
y = - 3(x - 1)(x + 4) ← expand the factors using FOIL
= - 3(x² + 3x - 4) ← distribute parenthesis by - 3
= - 3x² - 9x + 12 ← in standard form
with a = - 3 and b = - 9 , thus
[tex]x_{vertex}[/tex] = - [tex]\frac{-9}{-6}[/tex] = - [tex]\frac{3}{2}[/tex]
Substitute this value into the equation for corresponding value of y
y = - 3( - [tex]\frac{3}{2}[/tex] - 1)( - [tex]\frac{3}{2}[/tex] + 4)
= - 3 × - [tex]\frac{5}{2}[/tex] × [tex]\frac{5}{2}[/tex]
= - 3 × - [tex]\frac{25}{4}[/tex]
= [tex]\frac{75}{4}[/tex]
Thus
vertex = ( - [tex]\frac{3}{2}[/tex], [tex]\frac{75}{4}[/tex] )
In a survey, 61 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $39 and standard deviation of $3. Find the margin of error for a 99% confidence level.
Answer:
0.989
Step-by-step explanation:
The formula for Margin of Error is:
z × Standard deviation/√n
Where
z = z score for 99% confidence Interval
= 2.576
n = 61 people
Standard deviation = $3
Hence,
Margin of Error
= 2.576 × 3/√61
= 0.989
:pppppppppppp here it is again
Answer:
i think just any negative numbers
Step-by-step explanation:
like for example -10 and -2. their sum is -12 and when subtracted is -8
Answer:
Below
Step-by-step explanation:
Given Data:
The sum of two numbers is less than 2If we subtract the second number from the first , the difference is greater than 1Q) What are the two numbers?
Lets suppose the first number to be x and the second number to be y
The first point states sum of two number which is x + y is less than 2 so our first expression becomes,
[tex]x+y<2[/tex]
The second point states that the if we subtract the second number from the first number which states x - y the difference is greater than 1 so our second expression becomes,
[tex]x-y<1[/tex]
1) The riddle can be represented by a system of inequalities. Write an inequality for each statement.
The inequality for the first statement is
[tex]x+y<2[/tex]
The inequality for the second statement is
[tex]x-y>1\\[/tex]
I assume the second part to the question would be solve for x and y xD
so here goes
2)
If we just simply add both the equations we get the following result:
[tex]x+x+y-y=2+1[/tex]
Just suppose there is an equal to sign instead of less than or greater than
[tex]x+x+y-y=2+1\\2x+0=3\\x=3/2\\x=1.5\\[/tex]
now put the value of x in any one of the two equations I choose equation 1
[tex]x+y=2\\1.5+y=2\\y=2-1.5\\y=0.5[/tex]
I attached an image so you can understand it better :)
Find the range of the function shown on the grid. "Brainliest only if correct"
Answer:
b
Step-by-step explanation:
What is the slope of the line?
Answer: (2,-2)
Step-by-step explanation: give me brianlest
What is the perimeter of the parrelogram
Pls
Answer:32
Step-by-step explanation:
perimeter is the sum of the length of its four sides
2l plus 2w
8 multiply 2=612 multiply 2=2424plus 8 =32l =8w=12What is the volume of this cube?
1 cm
1 cm
1 cm
Answer:
1 cm
Step-by-step explanation: WOOOO brainiest pls
Which graph represents the solution to this inequality?
-1/4(12x + 8) < -2.1 + 11
Step-by-step explanation:
-3x -2 less than 8.9
-3x less than 8.9+2
-3x less than 10.9
x =10.9/-3
after robbing a bank in dodge city a robber gallops off at 12mi/h. 10 minutes later the marshall leaves to pursue the robber at 15 mi/h. how long (in hours) does it take the marshall to catch up to the robber?
Answer:
it takes the marshall to catch up to the robber about 2.7 hours.
Step-by-step explanation:
if you want the work i can give it i hope this helps and have a brilliant day
In a certain sequence, each term, starting with the 3rd term, is found by multiplying the previous two terms. What is the difference between the 6th and 3rd terms in the sequence
Answer:
-3
Step-by-step explanation:
Let the first term be a-d, second term be a and third term be a+d
d is the common difference
If each term, starting with the 3rd term, is found by multiplying the previous two terms then:
a(a-d) = a+d
a²+ad-a-d = 0
a(a+d)-1(a+d) = 0
(a+d)(a-1) = 0
a-1 = 0
a= 1
a+d = 0
1+d = 0
d = 0-1
d = -1
Get the sixth term
nth term of a sequence is expressed as
Tn = a+(n-1)d
T6 = 1+(6-1)(-1)
T6 = 1+5(-1)
T6 = 1-5
T6 = -4
Get the third term T3
T3 = a+2d
T3 = 1+2(-1)
T3 = 1-2
T3 = -1
difference between the 6th and 3rd terms in the sequence is expressed as;
Difference = T6-T3
Difference = -4-(-1)
Difference = -4+1
Difference = -3
It takes 20 minutes for Maria to read 14 pages in her novel. how many pages can she read in 45 minutes?
Answer:
32
Step-by-step explanation:
