Step-by-step explanation:
By Difference of Squares,
a² - b² = (a + b)(a - b).
=> (3 + 8i)(3 - 8i) = 3² - (8i)²
= 9 - 64i² = 9 - 64(-1) = 73.
Diego had $420 in his checking account. He made 6 deposits of $35.50 each. He also
needs to write 4 checks for $310.75 each.
a. How much did Diego deposit In total?
show the work please.
giving 13 points!!
Daniel buys two apples for every five oranges. If you bought 12 apples, how many oranges dis he buy?
Answer:
30 oranges
Step-by-step explanation:
2 apples : 5 oranges
12 apples : 30 oranges
because 12 apples is 6 times the original ratio, so we multiply the 5 oranges by 6 too.
Help me out with 5,6,7 (Geometry)
Problem 5
A counterexample could be a number like 6. Divide it over 2 and we get 6/2 = 3, which is a whole number. This shows 6 is a multiple of 2. However, 6/4 = 1.5 is not a whole number, so 6 is not divisible by 4. The overall claim is false.
======================================================
Problem 6
Let's say we are subtracting a positive number and a negative number. For instance, let's say we're subtracting 10 and -7
So,
10 minus -7 = 10 - (-7) = 10+7 = 17
When subtracting a negative, the two minus signs cancel to form a plus sign. The result we get is 17, which is larger than the greater number 10. So this is one counterexample that proves the claim to be false.
======================================================
Problem 7
Start with a circle. The circle can be any size. Plot four random points on the circle. The points can be anywhere you want. Let's label those points A,B,C,D. Form quadrilateral ABCD.
Now let's say we pick point A and pull it off the circle and pull it outside the circle. Points B,C and D remain on the circle. This is one example where we cannot draw a circle through this new arrangement of points. The circle goes through B,C, and D just fine; however, it doesn't go through point A. If you try to attempt to get the circle to go through A, then you'll have to pick B,C or D to ignore. In other words, you'll only be able to pick three points that the circle can go through. Therefore, a circle cannot be drawn as described for every quadrilateral.
Note: Any quadrilateral that has all four points on the same circle is known as a cyclic quadrilateral.
You invested $1,000 in a savings account at the end of 7th grade. The account pays 5% annual interest. How much money will be in the account after 6 years? Round to the nearest hundredth. * 1 point
Step-by-step explanation:
1000 x .05= 50.
1000 + 50= 1050
1050 x 6= 6300
Floyd is an aspiring music artist. He has a record contract that pays him a base rate of \$200$200dollar sign, 200 a month and an additional \$12$12dollar sign, 12 for each album that he sells. Last month he earned a total of \$644$644dollar sign, 644.
Write an equation to determine the number of albums (a)(a)left parenthesis, a, right parenthesis Floyd sold last month.
Answer:
$2003364789
Step-by-step explanation:
24300+27990009+330065 multiplied by the power of 6 is 6999235.
Answer:
12a + 200 = 644
37 albums
Step-by-step explanation:
trust me i got it right on khan
Explanation:
it says $12 for each album
when you see the key word each then next beside it is the variable
also you add 200 because the key word is additional which means to add
it equals 644 because the key word is he earned a total
Tip: when you have equations underline the key words that would really help
also i just had the same problem
So therefore our equation would be: 12a + 200 = 644
and the number of albums sold is: 37
good luck on your work
The lgrsedfaffedadwaawdwaffweaf
What does that even say
Item 6
At the beginning of the day, the temperature is -8°F. As the sun comes out, it warms up 19°F. What is the temperature once it warms up?
°F
Answer:
-8 + 19 = 11ºF
Step-by-step explanation:
will give brainlest
What property is demonstrated by the way in which numbers are grouped when they are added or multiplied and it does not change their sum or product?
Group of answer choices
Identity Property
Distributive Property
Associative Property
Commutative Property
Answer:
I guess, that's an Associative Property .
Pls helpp ill mark brainlist
Answer:
step by step buy on paper towel and then buy one more and then the last one i cant see
Step-by-step explanation:
your welcome; )
Select ALL the correct answers,
Select the scenarios that correctly represent the given graph
1. The amount of money in an account decreases for a few months and then increases.
2. The height of a stone shot by a catapult reaches a maximum height and then falls on the ground.
3. The sale of a product increases at first and then decreases.
4. The radioactivity of a substance decreases by 10% every year.
5. The speed of a car increases constantly by 10 miles per hour.
Option (2) and Option (3) is the correct answer .
Required Explaination :
Scenario 2 : The height of a stone shot by a catapult reaches a maximum height and then falls on the ground.
The graph of this scenario is a downward parabola. Therefore option 2 is correct.Scenario 3 : The sale of product increases at first and then decreases.
The graph of this scenario is a downward parabola. Therefore option 3 is correct.Therefore, the correct options are 2 and 3.
What is 4 8/9 plus 3 2/11
Answer:
8 7/99, Decimal. (8.07 repeated)
Step-by-step explanation:
help! i will mark brainliest!
Answer: C
Step-by-step explanation:
A restaurant has 100 tables and 28 of the tables seat 2 people and 72 of the tables seat 4. What percentage of the tables seat 4 people?
HELP PLEASE 18 POINTS
Answer:
Step-by-step explanation:
line 1 m=y2-y1 / x2-x1 [formula for slope ]
m= 0 - (-3) / 8-(-4)
m= 3 /12
m= 1/4 slope of line 1
line2
m = 2-6 / 0-(-1)
m = -4 / 1
m = -4 slope of line 2
line 3
m = -4 - (-7) / -3 - 6
m = 3 / -9
m = - 1/3 slope of line 3
lines 1 & 2 perpendicular b/c they are reciprocals with a sign change :)
lines 1 & 3 neither.. differet slopes and not reciprocals
lines 2 & 3 perpendicular b/c they are reciprocals with a sign change :)
6x + 15xy
Looking For Factor
Answer:
x(6 + 15y)
Step-by-step explanation:
In this instance, you can divide by a factor of x.
6x/x = 6
15xy/x = 15y
Therefore, we are left with 6 + 15y.
FLIP OR NOT TO FLIP?
A. -4x + 2 < -2
B. - 9>-8
-7.
Answer:
the answer is not flip because when u calculate it
One out of every 4 students in a club is a girl. There are 20 students in the club. How many girls are in the club? Explain how you know
Answer:
5 girls because 1/4 times 20 is 20/4 which gets 5
Step-by-step explanation:
because 1/4 times 20 is 20/4 which gets 5
Laura earned $250 on her money market investment over a 2
year period of time. The interest rate during this period of time
was 5% annually. How much money did Laura invest in the
money market from the start?
A) $250
B) $500
C) $2000
D) $2500
5 What is -5 –+3 2 2.
Answer:
-327
Step-by-step explanation:
help please, don’t guess or don’t answer if you don’t know it
Is it the 1st one. I’m not to sure.
Answer:
Yes, it's the first one
Step-by-step explanation:
Since the number line is from 0 to 1 and it's divided into 6 sections, the correct answer is 1
Simplify:(-3x3)(-2x)
A. -5x15
B
6x15
–5x²
6x
Step-by-step explanation:
[tex]( - {3x}^{3} )( - {2x}^{5} ) = 6x {}^{3 + 5} = {6x}^{8} [/tex]
12. If f"(x) = x(x + 1)(x - 2)2, then the graph of f has inflection points when x =
A.-1only
B. 2only
C.-1 and 0only
D.-1 and 2 only
E. -1,0 and 2 only
Answer:
C. - 1 and 0 only
Step-by-step explanation:
(x + 1) / x = 0, - 1, 2
inflection points / when sign Changes
+ / - / + / +
"- 1 " "0" 2
^ ^
"Hope this helps"
The graph of f has inflection points when x = 0 and -1.
Given that,
If graph = f"(x) = x(x + 1)(x - 2)^2
We have to determine,
The graph of f has inflection point when x is.
According to the question,
Inflection point is the point in which the rate of slope changes in increasing to decreasing order or vice versa.
These points are generally not local maxima or minima but stationary points.
[tex]f''(x) = 0[/tex]
Therefore,
The graph of f has inflection point at,
[tex]f''(x) = x (x+1) (x-2)^{2} = 0\\\\x = 0 \ and \ x+1 = 0 \ \ = x = -1\\\\ or \ x-2 = 0 , \\\ \ \ = x =2[/tex]
On taking intersection of these points,
The graph has inflection points at x = 0 and -1.
Hence, The graph of f has inflection points when x = 0 and -1.
To know more about Inflection points click the link given below.
https://brainly.com/question/2289668
What is the Factor: 24x - 60
graph each function (equation) by making a table y = |2x| + 1
please help
Answer:
the table:
x | y
-2 | 5
-1 | 3
0 | 1
1 | 3
2 | 5
for the graph: go up from the middle point, then right then up by two and repeat on the other side as well, should look something like this
( up one, go left, up 2) ∨ (up one, go right up two)
If d= 2, what is the value of 8/(4-d)? A.1
B. 4/3
C. 4
D. 0
find the measusre of the angles.
Answer:
1, 3, 5 =117
2, 4, 6, 7= 63
Step-by-step explanation:
Since we know that one angle is 117 degrees, 5, 1 and 3 will also be 117. 2, 4, 6 and 7 will also be the same. 117 plus 117 is 234. 63 + 63 = 126. 234+ 126 = 360.
hiking boots cost $99.55 they are on sale for $15.18 off. what is the percent of discount
Answer:
15.25
Step-by-step explanation:
suris age is 4 less than 3 times her cousins age. suri is 17 years old. which method can be used to find c, her cousins age?
Kim has a bag with 4 blue marble, 4 black marble, 7 orange marbles, 2 red marbles, 6 yellow marbles, and 1 pink marble.
P(pink OR red)?
A. 12.5%
B. 0.89
C. 1 1/4