Answers
Answer:
Step-by-step explanation:
a) Input = -9 ⇒ x = -9
y = x² + 3
Plugin x = (-9),
y = (-9)² + 3
= 81 + 3 {(-9)² = -9 * (-9) = 81}
y = 84 ---> Output
y = √x - 2
= √-9 - 2 { i² = -1}
[tex]= \sqrt{3*3 * i^{2}}-2\\\\=3i -2[/tex]
y = 3i - 2 ------> Output
b) Output = 0
y = x² + 3
x² + 3 = 0
x² = -3
[tex]x = \sqrt{-3}=\sqrt{3i^{2}}\\\\x = i \sqrt{3}[/tex]
y = √x -2
0 = √x - 2
√x = 2
Take square,
[tex](\sqrt{x})^{2}=2^{2}\\\x = 4[/tex]
Related Questions
On Thursday, 40 trains left the station. Eight left late. On Saturday 50 trains left the station. Nine left late. What percentage of trains were not late on each day?
Answers
Answer:
Thursday=80%
Saturday=82 %
Step-by-step explanation:
Thursday trains not late=40-8=32
% trains not late=32/40×100=80
Saturday trains not late=50-9=41
% trains not late on Saturday=41/50×100=82
Heather is conducting a study on music and memory. She plays different types of music while students memorize lists of words, then tests them on their retention after 1 hour, 1 day, and 1 week. In this example, which is the independent variable
Answers
Step-by-step explanation:
The independent variable is the one that we change, and because we are changing the genre, the independent variable is the different types of music.
The variable we can change is known as an independent variable, and since we are changing the style, the independent variable is the various musical forms.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given Heather is researching the relationship between music and memory as a result. Students learn word lists while listening to various music styles, and she analyzes their memory after an hour, a day, and a week.
A variable that is independent is exactly what it sounds like. It is a stand-alone variable that is unaffected by the other variables you are attempting to measure.
Thus, the variable we can change is known as an independent variable, and since we are changing the style, the independent variable is the various musical forms.
Learn more about the function here:
brainly.com/question/5245372
#SPJ5
-36 + x < 8 Solve for x
Answers
Answer:
[tex]x < 44[/tex]
Step-by-step explanation:
We can simplify this inequality by isolating x on one side.
[tex]-36 + x < 8[/tex].
Let's add 36 to both sides.
[tex]-36 + 36 + x < 8 +36\\\\x < 44[/tex]
Hope this helped!
Answer:
x<44
Step-by-step explanation:
Add 36 to both sides:
-36 + x < 8
+36 +36
x < 44
URGENT PLS HELP ASAP! THANK YOU :)
Answers
Answer:
box 1 and box2 are correct.
PLEASSSSSEEE HELPPP ASPPP PLEASEEE
Answers
Answer:
x=1
i hope this helps!
Step-by-step explanation:
x+2/-1 =3
x+2 (1) =3
x+2 = 3
x=1
Hopes this answers your question
Please hell the question is in the photo ^^
Answers
May be this.. you may find all the math answers in the app known as Gauth math so I would suggest you to download it .Thank you
Candy is on sale for $0.75 each. You have a coupon for $0.25 off your total purchase. Write a function rule for the cost of n pieces of candy
Answers
Answer:
t = 0.75n - 0.25
t represents your total
Step-by-step explanation:
So lets start by writing our total variable.
t =
Now each candy is 0.75 so lets write that down too.
t = 0.75
Since we don't know how much candy we buy, lets multiply 0.75 by n.
t = 0.75n
Now we have a $0.25 coupon so now subtract the 0.25 from the cost.
t = 0.75n - 0.25
There you go.
A car travels 120m along a straight road that is inclined at 8° to the horizontal. Calculate the vertical distance through which the car rises. (Sin8°=0.1392)
Answers
The vertical distance through which the car rises is 16.7 m
What is right triangle?"It is a triangle whose one of the angle is 90°."
What is sine of angle?In right triangle, for angle 'x',
sin(x) = (opposite side of angle x)/hypotenuse
For given example,
Consider the following figure for given situation.
A car travels 120 m along AC.
ΔABC is right triangle with hypotenuse AC.
∠C = 8°
Consider sine of angle C,
[tex]\Rightarrow sin(C)=\frac{AB}{AC}\\\\\Rightarrow sin(8^{\circ})=\frac{AB}{120}\\\\ \Rightarrow 0.1392=\frac{AB}{120}\\\\ \Rightarrow AB = 0.1392\times 120\\\\\Rightarrow AB = 16.70~ m[/tex]
Therefore, the vertical distance through which the car rises is 16.7 m
Learn more the sine angle here:
https://brainly.com/question/14553765
#SPJ2
PLEASE HELP WITH ALL PLEASE WILL MAKR BRAINLIEST, THANK YOU AND THESE POINTS
Answers
Answer/Step-by-step Explanation:
12. A. (1,299 + 3,563) ÷ 22 = 221
4,862 ÷ 22 = 221
221 = 221 (TRUE)
B. 16*(132 + 34)*12 = 32,872
16*166*12 = 32,872
31,872 = 32,872 (NOT TRUE)
C. (65 + 78)*(45 - 29) = 2,188
143*16 = 2,188
2,288 = 2,188 (NOT TRUE)
D. (1,444 - 349) ÷ (457 - 238) = 6
1,095 ÷ 219 = 6
5 = 6 (NOT TRUE)
The answer is A.
13. Let the missing number = X
Thus,
i. 25*(157 + x) = 8,850
[tex] 157 + x = \frac{8850}{25} [/tex]
[tex] 157 + x = 354 [/tex]
[tex] x = 354 - 157 [/tex]
[tex] x = 197 [/tex]
ii. x ÷ (453 - 425) = 135
x ÷ (28) = 135
x = 135*28
x = 3,780
14. (56 + 69) * (268 - 137)
125*131 = 256
15. 9,144 ÷ (2,784 - 2,784)
9,144 ÷ 0 = cannot divide
16. (72 + 126) ÷ (687 - 654)
198 ÷ 33 = 6
17. 22*(562 + 733)
22*1,295 = 28,490
18. Let the missing number be x
48*(x - 239) = 4,272
[tex] x - 239 = \frac{4,272}{48} [/tex]
[tex] x - 239 = 89 [/tex]
[tex] x = 89 + 239 [/tex]
[tex] x = 328 [/tex]
The missing number is 328.
19. (794 + 718) ÷ (68 - 41)
1,512 ÷ 27 = 56
20. (58*89) + (192 ÷ 16)
5,162 + 12 = 5,174
please help me with question2 someone, thanks
Answers
Answer:
Step-by-step explanation:
[tex]\frac{3x-y}{4x+5y}=\frac{3}{5}\\\\[/tex]
Cross multiply
5*(3x-y) = 3*(4x + 5y)
5*3x -5*y = 3*4x + 3*5y
15x - 5y = 12x + 15y
15x - 12x = 15y + 5y
3x = 20y
3x = 4y * 5
[tex]\frac{3x}{4y} = 5[/tex]
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TIME REMAINING
55:50
In May, there were 14 days where the temperature was above 60°F and 17 days when it was below 60°F There were
also 19 days that were sunny. If a two-way table is made to represent the data, which could be the row and column
headings?
O column: sunny, below 60°F, row. not sunny, above 60°F
O column: above 60°F, below 60°F, row: sunny, not sunny
O column: above 60°F, sunny, row: below 60°F, not sunny
O column: sunny, month; row: not sunny, month
Mark this and return
Save and Exit
Next
Submit
Answers
A two-way table is such that has two categorical variables and as such, the data are presented in rows and columns.
The correct row and column headings for the given dataset are:
Column: above 60°F, below 60°F, Row: sunny, not sunny
Given that:
[tex]Above\ 60^oF=14[/tex]
[tex]Below\ 60^oF=17[/tex]
[tex]Sunny = 19[/tex]
The two-way table would have the following representations;
Above [tex]60^oF[/tex] and Below [tex]60^oF[/tex] as the column entriesSunny and not sunny as the row entriesThe following representations are also possible
Above [tex]60^oF[/tex] and Below [tex]60^oF[/tex] as the row entriesSunny and not sunny as the column entriesBase on the above representations, we can conclude that options (b) is true
Read more about two-way tables at:
https://brainly.com/question/20608299
Plssss help plssssss
Answers
Answer:
True
Step-by-step explanation:
Just compare the numbers to the dots.
I hope this helps!
pls ❤ and give brainliest pls
Answer:
true
Step-by-step explanation:
The answer is true.
Line AB is the diameter of circle T. Point A is located at (-4, 2) and point B is located at (2, -8). What are the coordinates of the center of this circle?
A. (-3, -5)
B. (-2, -4)
C. (-1, -3)
D. (-4, -2)
Answers
Answer:
(-4, 2) y(2, -8)
{-4 y(2, -8), 2 y(2, -8)}
-4 y(2, -8) + 2 y(2, -8) = -2 y(2, -8)
-y(2, -8)
2 sqrt(5) abs(y(2, -8))
Step-by-step explanation:
D
Answer:
C
Step-by-step explanation:
The center will be the midpoint of the line connecting A and B.
x=(-4+2)/2=-2/2=-1
y=(2-8)/2=-6/2=-3
can u help me ASAP. i need to know how to do it step by step
Answers
Answer:
19
Step-by-step explanation:
[tex]f(x) =4x^3-8x^2+ax+b[/tex] has a factor [tex]2x-1[/tex] and
when divided by [tex]x+2[/tex], remainder is 20.
To find:Remainder when divided by (x-1) ?
Solution:
[tex]2x-1[/tex] is a factor
[tex]2x - 1 = 0 \Rightarrow x = \frac{1}{2}[/tex] when we put this value of x to the function, it will become 0.
i.e.
[tex]\Rightarrow f(\dfrac{1}{2}) =0 =4\times (\dfrac{1}2)^3-8(\dfrac{1}2)^2+\dfrac{a}{2}+b=0\\\Rightarrow \dfrac{1}{2}-2+\dfrac{a}{2}+b=0\\\Rightarrow 1-4+a+2b=0\\\Rightarrow a +2b=3 ......(1)[/tex]
Remainder is 20 when f(x) is divided by [tex]x+2[/tex]
i.e.
[tex]f(-2) =20[/tex]
[tex]\Rightarrow f(-2) =20 =4\times (-2)^3-8(-2)^2-2a+b=20\\\Rightarrow -32-32-2a+b=20\\\Rightarrow -2a+b=84 ...... (2)[/tex]
Solving (1) and (2), Multiply equation (1) by 2 and adding to (2):
[tex]5b=6+84\\\Rightarrow b = \dfrac{90}{5} = \bold{18}[/tex]
By equation (1):
[tex]a+2(18) = 3\\\Rightarrow a = -33[/tex]
So, the equation becomes:
[tex]f(x) =4x^3-8x^2-33x+18[/tex]
[tex]\Rightarrow f(1) = 4(1) -8 (1) -33(1) +18 = \bold{19}[/tex]
So, when divided by (x-1), remainder will be 19.
y=2/5x-12 is it liear or nolinear or both
Answers
Answer:
Step-by-step explanation:
y=2/5x-12 it is a linear equation in the form of y=mx+b
the best way to know is to graph the function
Simplify this please
Answers
Answer:
4Step-by-step explanation:
[tex] \sqrt[3]{64} [/tex]
[tex] = \sqrt[3]{4 \times 4 \times 4} [/tex]
= 4 (Ans)
Answer:
Step-by-step explanation:
Find the area of the shaded region
Answers
Answer:
5x^2 +24x +1
Step-by-step explanation:
First you'll want to find the area of the larger rectangle, and then you'll subtract the area of the smaller rectangle (which is not shaded) to get your answer.
Larger Rectangle:
A = length * width
A = (2x + 3)(4x - 5) = (8x^2 - 10x + 12x - 15) = 8x^2 + 2x - 15
Smaller Rectangle:
A = length * width
A = (x - 8)(3x + 2) = (3x^2 + 2x - 24x - 16) = 3x^2 - 22x - 16
Larger Rectangle minus Smaller Rectangle:
(8x^2 + 2x - 15) - (3x^2 - 22x - 16)
5x^2 +24x +1
In right triangle ABC
a.30°
b.45°
c.60°
d.75°
Answers
Answer:
c
Step-by-step explanation:
30°+90°+x=180° (the sum of interior angle of a triangle is 180°)
120°+x=180°
x=180°-120°
x=60°
Estimate the solution to the system of equations.
Answers
Hey there! I'm happy to help!
Since we are using graphs, we will do not need to algebraically solve this system of equations.
When you graph a system of equations, the solution is always the point at which the two lines intersect.
Here is our system of equations graphed. We see that the lines intersect at about (1 1/3, 2 1/3). Therefore, the correct answer is C. x=1 1/3, y=2 1/3
Have a wonderful day! :D
find x.
can someone work it out for me so i can try and figure out how to do problems like this on my own? please and thank you
Answers
Answer:
x = 7/2
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj side / hypotenuse
cos 45 = x / 7 sqrt(2) /2
7 sqrt(2)/2 cos 45 = x
7 sqrt(2)/2 (1/ sqrt(2))= x
7/2 = x
A carpenter has a 10 1/2 foot wood plank. He cuts off 4 1/4 feet to replace a deck board as well as 3 2/3 feet to repair a step. He uses the rest of the plank for a shelf. How many feet of wood does the carpenter have for the shelf? PLEASE SHOW YOUR WORK AND EXPLAIN HOW YOU GOT THE ANSWER PLEASE I WILL MARK YOU BRAINIEST.
Answers
Answer:
The carpenter used 2 7/4 feet of plank for the shelf
Step-by-step explanation:
Total length of plank =10 1/2 foot
He used
For Deck board=4 1/4 feet
Step=3 2/3 feet
Shelf=x feet
Total plank=deck board + step + shelf
10 1/2 = 4 1/4 + 3 2/3 + x
Change the fractions
21/2 = 17/4 + 11/3 + x
Add 17/4 + 11/3
21/2 =51+44/12 + x
21/2= 95/12 + x
Collect like terms
21/2 - 95/12 =x
126-95/12 = x
31/12=x
2 7/12 =x
Therefore, the carpenter used 2 7/4 feet of plank for the shelf
Answer:
Step-by-step explanation:
Total length of plank =10 1/2 foot
He used
For Deck board=4 1/4
Step=3 2/3
Shelf=x
Total plank=deck board + step + shelf
10 1/2 = 4 1/4 + 3 2/3 + x
In math class, Jose earns 10 points for each A in his homework. If he already has 50 points, how many A’s does he need to get 120 points?
Answers
Answer jose needs to get 7 more A's because 5+7=12 so if 50+70=120 then he will need to get 7 more a's hope this helps :)
Step-by-step explanation:
Answer:
He needs 7 A's.
Step-by-step explanation:
The pictures.
Hope this helps!!! :)
Melissa, of Melissa's Lawn and Landscaping Service, needs to replace her mowers.
She has ordered four new gas mowers, at $499 each, and a negotiated Trade
Discount Rate of 9%, with terms of 2/10 EOM, and FOB Shipping Point. The
seller has agreed to prepay the shipping charge of $80, which is not included in the
invoice amount. The invoice from the manufacturer is dated July 26.
Determine:
A)
By what date does Melissa have to pay in order to be able to take the cash
discount?
B)
What is the payment amount assuming that Melissa pays before the end of
the discount period?
Answers
Answer:
A) 10th of August
B) $1780.03
Step-by-step explanation:
A) From the payment terms of 2/10 EOM, Melissa is to receive a 2% discount if she pays within 10 days from the end of the month
From the date on the invoice, July 26, the date at which Melissa has to pay to take the cash discount is before the 10th of August
B) The payment amount will be 2% off the original payment amount
The total cost of the four new gas mowers less the trade discount = 499 × 4 × (100 - 9)/100 =$1816.36
The 2% discount will then be $1816.36 × (100 - 2)/100 = $1780.03
The payment amount assuming Melissa pays before the end of the discount period = $1780.03.
Two consecutive integers have a sum of 107. Find the integers.
Answers
Answer: 53 and 54
Explanation
Let the consecutive numbers be x and x + 1
ATQ
x + x + 1 = 107
2x = 107 - 1
x = 106/2
x = 53
Therefore the numbers are 53 and 54
Must click thanks and mark brainliest
Answer:
x = 53, x + 1 = 54
Step-by-step explanation:
Consecutive integers are two numbers that are after each other. (This is confusing wording, but hopefully this example helps):
Regular consecutive numbers: 1, 2, 3
Even consecutive numbers: 2, 4, 6
Since in this problem the numbers are not given you will use variables.
x + x + 1 = 107
Solve:
x + x + 1 = 107
2x + 1 = 107
-1 -1
----------------
2x = 106
--- -----
2 2
x = 53
x + 1
53 + 1 = 54
Hope this helped.
Find the measure of a.
Answers
Answer:
C
Step-by-step explanation:
The angle at the centre is twice the angle on the circle subtended on the same arc, then
a = 2 × 25° = 50° → C
write a function g whose graph represents a horizontal shrink by a factor of 1/2 of the graph f(x)= |2x| +4
Answers
The function g is:
[tex]g(x) = |4x| + 4[/tex]
----------------------
Horizontally shrinking a function f(x) by a factor of [tex]\frac{1}{a}[/tex] is equivalent to finding f(ax).
----------------------
In this question, the function is:
[tex]f(x) = |2x| + 4[/tex]
Horizontally shrinking by a factor of [tex]\frac{1}{2}[/tex] means that [tex]a = 2[/tex], so:
[tex]g(x) = f(ax) = f(2x) = |2(2x)| + 4 = |4x| + 4[/tex]
Thus, the function g is:
[tex]g(x) = |4x| + 4[/tex]
A similar question is given at https://brainly.com/question/20379647
the adjoining circle with O has a radius of 14cm ABCD is a square drawn inside the circle calculate the area of the shaded region plzz any help plzz
Answers
Answer:
bro just make me the branilist
Please answer ASAP!!
plssss
Answers
Answer:
86°
Step-by-step explanation:
b = 29× 2 = 58
d= [180-(86+29)]×2 = 130
a=c=x
a+b+c+d = 360
2x+188= 360
2x= 172
x= 86
a = c = 86°
what is the gcf of 36, 126, and 210?
Answers
Answer:
Greatest common factor (GCF) of 36 and 210 is 6.
Step-by-step explanation:
Answer:
6
Brainliest, please! (Almost an Ace!)
Step-by-step explanation:
Look at the smallest factor, 36. Find its factors.
36: 1, 2, 3, 6, 12, 18, 36
Out of all of them, which is the biggest one that 126 and 210 are also divisible by?
We see that they're divisible by 1, 2, 3, and 6.
Our answer is 6.
On a 100 cm measuring stick, marks are made at 19, N, and 99 cm, from left to right. The distance between the marks at N and 99 cm is three times the distance between the marks at N and 19 cm. What number is N?
HELP IM STUCK
Answers
Answer:
N is 39
Step-by-step explanation:
The distance between 99 and 19 is:
99 - 19 = 80
So, you can split the stick in 4 parts, one part between 19 and N, and 3 times this same part you'll have the distance between N and 99
So 80/4 = 20
19 + 20 = 39
N is 39