Answer:
40 + 12i
Step-by-step explanation:
note that i² = - 1
2i(4.5 - 20i) + 3i ← distribute parenthesis by 2i
= 9i - 40i² + 3i
= 9i - 40(- 1) + 3i
= 9i + 40 + 3i
= 40 + 12i
Which expression is equivalent to 3 2 times 3-5 ?
Answer:
A)
Step-by-step explanation:
A laser printer prints 9 pages per minute. Martha refilled the paper tray after it had printed 92 pages. In how many more minutes will there be a total of 245 pages printed?
17 minutes
hope this helps!
Evaluate the function.
f(x)=-3x^2-20
Find f(−7)
Answer:
Answer: f(-7) = -167
Step-by-step explanation:
[tex]{ \tt{f(x) = - {3x}^{2} - 20}}[/tex]
• When x is -7, f(x) is f(-7):
[tex]{ \tt{f( {}^{ - }7) = {}^{ - } 3( { {}^{ - }7) }^{2} - 20 }} \\ \\ { \tt{f( {}^{ - } 7) = ( {}^{ - } 3 \times 49) - 20}} \\ \\{ \tt{ f( {}^{ - }7) = {}^{ - } 147 - 20 }} \\ \\ { \boxed{ \tt{f( {}^{ - }7) = {}^{ - } 167 }}}[/tex]
Based on the calculations, the evaluation of this function is equal to -167.
Given the following data:
[tex]f(x)=-3x^2-20[/tex]How to evaluate a function.In this exercise, you're required to evaluate the given function. This ultimately implies that, we would substitute the vale of x into the function as follows.
Note: The value of x is equal to -7.
Substituting the given parameter into the function, we have;
[tex]f(-7)=-3(-7)^2-20\\\\f(-7)=-3(49)-20\\\\f(-7)=-147-20[/tex]
f(-7) = -167.
Read more on function here: https://brainly.com/question/10439235
Xavier's living room is rectangular and measures 3 meters by 3 meters. Beginning in one
corner, Xavier walks the length of his living room and then turns and walks the width. Finally,
Xavier walks back to the corner he started in. How far has he walked? If necessary, round to
the nearest tenth.
Victoria is 30 years old. She has $700 in a checking account, $9000 in a savings account $16,000 in a retirement account, and owns a car worth $6000. What is the total value of her liquid assets?
A. $31,700
B. $9700
C. $15,700
D. $16,000
Answer:
B
Step-by-step explanation:
Please mark as brainliest
hi can you help me ?
solve the equation by the method of vision:
x²-7x+12=0
solve the problem by dividing it into full squares:
x²-8x-8=0
this will be the answer
1: x=-4 or x=-3 and the second can be shown clearly
what id the limit of this function? f(x)=2x4+5x3−2x+12
Your math problem
(==)=24=+53−2+12
f(x)=2x^{4}+5x^{3}-2x+12
Find solutions on the
Prove the following
Step-by-step explanation:
Start by multiplying both sides by cosα:
1 + sinα + (cos²α)/(1+sinα) = 2
sinα + (cos²α)/(1+sinα) = 1
Now multiply both sides by 1+sinα:
sinα + sin²α + cos²α = 1 + sinα
sin²α + cos²α = 1 Q.E.D.
Thats the answer and method i used
pls someone help if you do all 3 i'll give you brainliest
Given that k=cd2 + e find the value of c when k=3 ,d=2 and e = 5
Answer:
c = -1/2
Step-by-step explanation:
Put the known values in the equation and solve for the unknown.
k = cd² +e
3 = c(2²) +5
-2 = 4c . . . . . . . subtract 5
-1/2 = c . . . . . . divide by 4
what figure is a rotation of figure
Answer:
b
Step-by-step explanation:
what grade?
I need help plz
12
10
8
12.5
Answer:
8
Step-by-step explanation:
please help with geometry problems
Answer:
put your best gees
Step-by-step explanation:
Graph a line with a slope of -3/4 that contains the point (2,3).
Answer:
The graph will be on the bottom:
Step-by-step explanation:
First find the slope intercept form:
y=mx+b
m is slope
b is y-intercept
since we already have slope we can replace that with m
y=-3/4x+b
Now substitute x and y with 2 and 3
3=-3/4 (2)+b
3=-3/2+b
Add on both sides:
9/2=b
Thus the Slope-intercept form is
y=-3/4x+9/2
Hope this helps!
17.31 x____=173.1 decimal math
10.
Step-by-step explanation:In order to find the missing value, we need to divide 173.1, by 17.31:
173.1 / 17.31 = 10
Dividing the product (173.1) by one value in the equation (17.31) can represent what the missing value is, in order for 17.31 to equal 173.1
Check:
17.31 · 10 = 173.1
173.1 / 10 = 17.31
What is the probability of picking an 8 and then picking a number greater than 6?
PLEASE HELP ASAP! I WILL GIVE BRAINLIEST JUST PLEASE HELP
Answer:
38cm squared
Step-by-step explanation:
What is the equation of the line in point - slope form with slope 3/4and passes through the point (5, -8)?
Which statement about f ( x ) = x 2 + 5 x − 84 is true?
Answer:
It is False
Step-by-step explanation:
Find the equation of a line perpendicular to y= 3x + 7 that passes through the
point (9,-7).
Answer:
[tex]y=-\frac{1}{3}x-4[/tex]
Step-by-step explanation:
To find the slope perpendicular to this, take the negative reciprocal of the slope. Basically, invert both the fraction and the negative/positive so that 3 becomes -1/3.
Now, using the new slope and the given point, we can find the y-intercept. Plug the 3 known variables into the equation:
[tex]y=mx+b\\-7=(-\frac{1}{3})(9)+b[/tex]
Then, solve for b:
[tex]-7=-3+b\\-4=b\\b=-4\\[/tex]
Finally, with both the slope and the y-intercept, you can write the equation of the line:
[tex]y=-\frac{1}{3}x-4[/tex]
Martha fue a una tienda de dulces a granel y compró 150 gramos de caramelos a $10.29 por cada 100 gramos y 220 gramos de chispas a $21.29 por cada 100 gramos. ¿Cuánto dinero gastó en total?
Answer:
62.273
Step-by-step explanation:
sorry it took me a little while to translate i speak only english
pls add the polynomials and find degree 1. p(x) = 6x² – 7x + 2 q(x) = 6x³ – 7x +15 2.h(x) = 7x³ – 6x + 1 f(x) = 7x² + 17x – 9
First let us know about Polynomial –
The degree of a polynomial is defined as the highest power on a variable in a polynomial.Types of polynomials based on the degree–
[tex]\qquad[/tex] ☀️ Constant polynomial :-
A polynomial having 0 as its degree is known as a constant polynomial.Example : 6 (6x⁰ : degree of x : 0)
[tex]\qquad[/tex]☀️ Quadratic polynomial :-
A polynomial having 2 as its degree is known as a quadratic polynomial.Example : 3x² + 7x + 6 (3x² : degree of x : 2)
[tex]\qquad[/tex]☀️ Cubic polynomial :-
A polynomial having 3 as its degree is known as a cubic polynomial.Example : 5x³ + 3x² + 7x + 6 (5x³ : degree of x : 3)
[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow (1) p(x) = 6x² – 7x + 2 + q(x) = 6x³ – 7x + 15}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 6x² – 7x + 2 + (6x³ – 7x + 15)[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 6x² + 6x² – 7x – 7x + 2 + 15[/tex]
[tex]\qquad[/tex][tex]\purple{ \bf \longrightarrow 6x³ + 6x² – 14x + 17}[/tex]
The degree of the polynomial is 3.[tex]\qquad[/tex][tex]\pink{\bf \longrightarrow (2) h(x) = 7x³ – 6x + 1 + f(x) = 7x² + 17x – 9}[/tex]
[tex]\qquad[/tex][tex]\sf \longrightarrow 7x³ – 6x + 1 + (7x² + 17x – 9)[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 7x³ + 7x² – 6x + 17x + 1 – 9[/tex]
[tex]\qquad[/tex][tex]\pink{\bf\longrightarrow 7x³ + 7x² + 11x – 8}[/tex]
The degree of the polynomial is 3.1) The degree of the polynomial is 3.
2) The degree of the polynomial is 3.
Gary multiplied ab and ab' as shown below.
(a+b)(ab) - ab?
Is Gary's answer correct?
Answer: I believe he is wrong because when I had to do this it was (a+b)(a+b)-ab
Korena is paid $40 it weed the garden 5 times. At this rate, how many times must she weed the garden to earn $100?
What we know:
Korena is paid $40 every five times she does the job
What we need to figure out:
How many times does she have to do it to earn $100
Math:
First I'm going to figure out how much she makes each time she weeds
Money earned ÷ Amount of times
40 ÷ 5
= 8
In order to determine the rest of the time we are going to multiply everything we know by 2
Korena is paid $80 if she does it 10 times
We clearly aren't going to do that again because that will surpass the amount so now we are going to use the unit rate we figured out;
($8 per time)
Korena is paid $88 if she does it 11 times
Korena is paid $96 if she does it 12 times
Korena is paid $104 if she does it 13 times
Statement
Therefore if Korena weeds the garden 13 times she will make $104 surpassing the $100 needed.
help pls!! I will mark brainliest!! :(
Answer:
Three choice
Step-by-step explanation:
I think.
The probability of event A is 0.53 and the probability of event B is 0.17. The probability of A and B occurring is 0.901. Which statement accurately describes these two events?
Explanation:
We're given that
P(A) = 0.53P(B) = 0.17P(A and B) = 0.901Note that P(A)*P(B) = 0.53*0.17 = 0.0901 which is somewhat similar to 0.901 but not entirely the same. We have an extra zero between the decimal point and the nine. So this indicates that [tex]P(A)*P(B) \ne P(\text{A and B})[/tex]. Therefore, events A and B are not independent. We consider them dependent.
The perimeter of a triangle is 42 centimeters. The longest side is 2 centimeters less than 3 times the shortest side and the pother side is 2 centimeters more than twice the shortest side. Find the length of each side.
Answer:
7 cm, 16 cm, 19 cm
Step-by-step explanation:
Let s represent the length of the shortest side in cm. The longest side is 3s-2, and the other side is 2s+2. The perimeter is the sum of the side lengths.
P = s + (3s -2) +(2s +2)
42 = 6s . . . . . simplify, use the given value of perimeter
7 = s . . . . . . . divide by 6
2s+2 = 16
3s -2 = 19
The side lengths are 7 cm, 16 cm, and 19 cm.
As a person pedals the bike, what forces oppose motion? As the person goes faster, what happens to the amount of air resistance?
Answer:
Step-by-step explanation:
Wind, friction and terrain (flat versus hilly) all oppose motion of the bike. Air resistance increases as the bicyclist goes faster (there's none at 0 mph, a significant amount at 30 mph, a greater amount at 40 mph, and so on).
I NEED ASAP ON THIS MATH PROBLEM
Which function has a more negative slope?
Answer:
A. Function 1
Step-by-step explanation:
The slope of Function 2 can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-8 -(-2))/(3 -0) = -6/3
__
The slope of function 1 can be found by comparing the equation to the slope-intercept equation for a line:
y = mx + b . . . . . . equation with slope m and y-intercept b
The slope of Function 1 is -7/3.
-7/3 is more negative than -6/3, so Function 1 has the more negative slope.