Answers
Answer:
(5x+1)(x+7)
Step-by-step explanation:
4x^2+26x+6+x^2+10x
5x^2+36x+7
(5x+1)(x+7)
Prove
5x*x + 5x*7 + 1*x + 1*7
= 5x^2 + 35x + x + 7
= 5x^2 + 36x + 7
Related Questions
A typhoon at P is 382 km away from city H at 8 p.m. The compass bearing of P from H is N28°W and the typhoon moves in the direction S15°W at a constant speed of 28 km/h. Find the shortest distance between the typhoon and city H.
Answers
144
meters in
12
minutes from his house to his school What is his average speed? 4 QZ Week No.5_Competency Code: M6ME-IIIg- 7, M6ME-IIlg-18 A.
10
meters per minute C.
14
meters per minute B.
12
meters per minute D.
16
meters per minute 2. A typhoon is moving at the speed of
1250
km in
10
hours. What is the average speed of the typhoon? A.
125
kph B.
130
kph C.
135
kph D.
140
kph 3. Lito drove for
3
hours at a rate of
50
km per hour and for
2
hours at
60
km per hour. What was his average speed for the whole journey? A.
50
kph B.
52
kph C.
54
kph D.
56
kph 4. A truck took
4
hours to travel
280
km. Find the average speed of the truck? A.
74
km/h B.
70
km/h C.
66
km/h D.
62
km/h 5. A train left Town A going to Town B at 9:30 a.m. It reached its destination at
12
:
00
noon. The distance from Town A to Town B is
190
km. What was the train's average speed? A.
75
km/h B.
76
km/h C.
77
km/h D.
78
km/h
Let x = a bi and y = c di and z = f gi which statements are true? check all of the boxes that apply. x y = y x (x × y) × z = x × (y × z) x – y = y – x (x y) z = x (y z) (x – y) – z = x – (y – z)
Answers
A complex number is a part of a number system that includes a real unit and an imaginary unit. All the statements are true except C and E.
What is a Complex Number?A complex number is a part of a number system that includes the real numbers as well as a particular element labelled i, sometimes known as the imaginary unit, and which obeys the equation i² = 1.
As it is given that x=(a+bi), y=(c+di), and z=(f+gi), therefore, we need to plug in the values to check which all are true.
A.) x+y=y+x
[tex]x+y=y+x\\a+bi+c+di=c+di+a+bi[/tex]
As the two sides of the equation are equal, the equation is true.
B.) (x × y) × z = x × (y × z)
[tex](x \times y) \times z = x \times (y \times z)\\\\\ [ (a+bi) \times (c+di) ]\times (f+gi) = (a+bi) \times [(c+di) \times (f+gi)]\\\\(ac+adi+bci-bd) \times (f+gi)= (a+bi) \times (cf+cgi+fdi-dg)[/tex]
[tex](ac+adi+bci-bd) \times (f+gi)= (a+bi) \times (cf+cgi+fdi-dg)\\\\\\acf+adfi+bcfi-bdf+acgi-adg-bcg-bdgi = acf+acgi+afdi-adg + bcfi-bcg-bfd-bdgi[/tex]
As the two sides of the equation are equal, the equation is true.
C.) x−y=y−x
[tex]x-y=y-x\\\\(a+bi)-(c+di)=(c+di)-(a+bi)\\\\a+bi-c-di=c+di-a-bi[/tex]
As the two sides of the equation are not equal, the equation is not true.
D.) (x+y)+z=x+(y+z)
[tex](x+y)+z=x+(y+z)\\\\(a+bi+c+di)+f+gi = a+bi+(c+di+f+gi)\\\\a+bi+c+di+f+gi = a+bi+c+di+f+gi[/tex]
As the two sides of the equation are equal, the equation is true.
E.) (x−y)−z=x−(y−z)
[tex](x-y)-z=x-(y-z)\\\\(a+bi-c-di)-f-gi = a+bi-(c+di-f-gi)\\\\a+bi-c-di-f-gi =a+bi-c-di+f+gi)[/tex]
As the two sides of the equation are not equal, the equation is not true.
Hence, all the statements are true except C and E.
Learn more about Complex Number:
https://brainly.com/question/12464608
There are 14 girls and 16 boys in Ms. Cherry's class. What is the ratio of girls to students in simplest form?
Answers
Answer:
7:15
Step-by-step explanation:
Total Students = 14+16 = 30
14:30
Divide by 2 on Both Sides
7:15
Answer: 7 to 15 hope it helps pretty Shure it will
Step-by-step explanation: I took the quiz
Find the value of x.
Answers
(x+3)/4 = (2x-4)/3
Multiplying both sides by 12,
3(x+3)=4(2x-4)
3x+9=8x-16
x=5
The selling price of a sweater is the cost plus the markup minus the discount. Write an expression to show the selling price s of a sweater. Use c for cost, m for markup, and d for discount.
Answers
Answer:
Step-by-step explanation:
Selling price = Cost price + Marked price - discount
s = c + m - d
A new car is purchased for $35, 000 and over time its value depreciates by
one half every 6 years. What is the value of the car 14 years after it was
purchased, to the nearest hundred dollars?
Answers
Please help me pretty please
Answers
Answer: D.
Step-by-step explanation:
The equation [tex]f(x) = (x-1)^{2} - 2[/tex] works only for option D. If x is 2, for example, the equation would look like this: [tex]f(2) = (2-1)^{2} - 2[/tex]. This equals [tex](1)^{2} - 2[/tex] which equals negative one. Therefore, when x is 2, y is -1. All of the graphs have the point (2, -1). We can still tell though that it is not A or B because there are spaces in between the points. If x = 2.2, the equation would not work for A or B because there is not a point with an x value of 2.2. This is different for both C and D. Δ
Answer C ends off early. There are endpoints to the figure. If x = 4, the equation would not work. This is because there is no point in answer C that has an x value of 4. On the other hand, question D does have a point with an x value of 4.
If x = 4, the equation looks like [tex]f(4) = (4-1)^{2} - 2[/tex].
We can simplify this to [tex]f(4) = (3)^{2} - 2[/tex]
and then [tex]f(4) = 7[/tex]
This means that when x is 4, y is 7. This is true for no graph but option D. Therefore the answer to this problem is D.
Which of these fractions below are equivalent to 3/4?
A) 12/16
B) 6/8
C) 15/20
D) 20/28
E) 24/32
A? B? C? D? OR E?
5 starts the first person to answer me!!!
Answers
Hey there!
3/4
= 3 ÷ 4
= 0.75
= 75%
Option A.
12/16
= 12 ÷ 2 / 16 ÷ 2
= 6 / 8
= 6 ÷ 8
= 0.75
= 75%
Thus, this statement is: TRUE
Option B.
6/8
= 6 ÷ 2 / 8 ÷ 2
= 3 / 4
= 3 ÷ 4
= 0.75
= 75%
Thus, this statement is: TRUE
Option C.
15/20
= 15 ÷ 5 / 20 ÷ 5
= 3 / 4
= 3 ÷ 4
= 0.75
= 75%
Thus, this statement is: TRUE
Option D.
20/28
= 20 ÷ 2 / 28 ÷ 2
= 10 / 14
= 10 ÷ 2 / 14 ÷ 2
= 5 / 7
= 0.714286
= 71.4286%
Thus, this statement is: FALSE
Option E.
24/32
= 24 ÷ 2 / 32 ÷ 2
= 12 / 16
= 12 ÷ 4 / 16 ÷ 4
= 3 / 4
= 3 ÷ 4
= 0.75
= 75%
Thus, this statement is: TRUE
Therefore, your answers are
• Option A. 12/16
• Option B. 6/8
• Option C. 15/20
• Option E. 24/32
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Scott plans to cut wood with a chainsaw that operates on a fuel mixture of oil and gasoline.
• Scott knows the ratio for the mixture is 16 fluid ounces of oil for every 5 gallons of gasoline.
• Scott will create a mixture of the oil and gasoline and then fill the fuel tank of the chainsaw.
• The fuel tank of the chainsaw has a capacity of 12 fluid ounces.
.A full tank of the mixture allows Scott to operate the chainsaw for 40 minutes.
Part A
Scott has only 2 gallons of gasoline for the oil and gasoline mixture. How many fluid ounces of oil will Scott need to
add to the 2 gallons of gasoline to get the proper ratio for the mixture? Enter your answer in the first response box.
Answers
Answer:
It would take 6.4 fluid ounces. i think I got the same chainsaw or at least gas mix
Correlation coefficients can test ______ variable(s) at a time. a. two or more b. only one c. one or more d. only two
Answers
Correlation coeffiencients is used to determine the relationships between data, Correlation coefficients can test two or more variable(s) at a time
What are correlation coefficients?This is a linear correlation between sets of data. This coefficient can only be between -1 and 1.
Positive values show a positive correlation while a negative value shows negative correlation. A correlation coefficient of zero shows no relationship between variables.
Based on the explanation, we can conclude that Correlation coefficients can test two or more variable(s) at a time
Learn more on correlation here: https://brainly.com/question/4219149
Find three different ways to write the number 437000 as a multiple of a power of 10
Answers
Answer:
4370*10^2
437*10^3
43.7*10^4
solve for x 13 + 7x = 27
Answers
Answer:
x=2
Step-by-step explanation:
1) -13 on each side (7x=14)
2) Divide by 7 on each side (x=2)
3) x=2
100 points. Send notes for volume of prisms and cylinders - gradpoint
Answers
Answer:
V = Bh = πr2h
Step-by-step explanation:
What is the mistake NEED ANSWER ASAP
Answers
Answer:
The answers are in the image.
Step-by-step explanation:
Charlie made the mistake by not getting the equation equal to zero.
[tex]x^2 - 9x + 8 = 16[/tex]
Subtract 16 to both sides making it equal to 0.
[tex]x^2 - 9x - 8 = 0[/tex]
Using Quadratic Formula to Solve for x.
150% of a number is x. What is 100% of the number? Assume x>0
Answers
Answer:
0.667x
Step-by-step explanation:
150% = x
100% = ?
=> 100% * x / 150% = 0.667x
helpp meeee pleaseeee
Answers
Answer:
x≈49.457
y≈40.543
using trigonometry
Step-by-step explanation:
you basically jump type in the calculator shift then press the (sin/cos/tan) then put the ratio
a trapezoid has a base of 32 inches and 14 inches and a height of 25 inches
Answers
Answer:
575 if your asking for the area
Step-by-step explanation:
82, 62, 95, 81, 89, 51, 72, 56, 97, 98, 79, 85 order from least to greatest find the The median of the lower half of the data and The median of the upper half of the data is
Answers
Answer:
The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.
Step-by-step explanation:
Step 1: Order from least to greatest
51, 56, 62, 72, 79, 81, 82, 85, 89, 95, 97, 98
Step 2: Determine the median of the lower half of the data
There are 12 numbers which means that there is going to be 6 numbers on both sides of the data. So using the first 6 numbers we will be able to determine the median of the lower half of the data.
51, 56, 62, 72, 79, 81
Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number. We can do that by adding them up together and dividing by 2.
(62 + 72) / 2 = 67
Step 3: Determine the median of the upper half of the data
So using the first 6 numbers we will be able to determine the median of the upper half of the data.
82, 85, 89, 95, 97, 98
Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number. We can do that by adding them up together and dividing by 2.
(89 + 95) / 2 = 92
Answer: The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.
Graphs of Function,
Write in interval notation the areas of increase and decrease.
I don't need all of them answered maybe 1 or 2? I want to do some myself.
Thank you for any help on this.
Answers
Answer:
A function is increasing when the gradient is positive
A function is decreasing when the gradient is negative
Question 7
If you draw a tangent to the curve in the interval x < -2 then the tangent will have a positive gradient, and so the function is increasing in this interval.
If you draw a tangent to the curve in the interval x > -2 then the tangent will have a negative gradient, and so the function is decreasing in this interval.
If you draw a tangent to the curve at the vertex of the parabola, it will be a horizontal line, and so the gradient at x = -2 will be zero.
The function is increasing when x < -2
[tex](- \infty,-2)[/tex]
The function is decreasing when x > -2
[tex](-2, \infty)[/tex]
Additional information
We can actually determine the intervals where the function is increasing and decreasing by differentiating the function.
The equation of this graph is:
[tex]f(x)=-2x^2-8x-8[/tex]
[tex]\implies f'(x)=-4x-8[/tex]
The function is increasing when [tex]f'(x) > 0[/tex]
[tex]\implies -4x-8 > 0[/tex]
[tex]\implies -4x > 8[/tex]
[tex]\implies x < -2[/tex]
The function is decreasing when [tex]f'(x) < 0[/tex]
[tex]\implies -4x-8 < 0[/tex]
[tex]\implies -4x < 8[/tex]
[tex]\implies x > -2[/tex]
This concurs with the observations made from the graph.
Question 8
This is a straight line graph. The gradient is negative, so:
The function is decreasing for all real values of x
[tex](- \infty,+ \infty)[/tex]
But if they want the interval for the grid only, it would be -4 ≤ x ≤ 1
[tex][-4,1][/tex]
Question 9
If you draw a tangent to the curve in the interval x < -1 then the tangent will have a negative gradient, and so the function is decreasing in this interval.
If you draw a tangent to the curve in the interval x > -1 then the tangent will have a positive gradient, and so the function is increasing in this interval.
If you draw a tangent to the curve at the vertex of the parabola, it will be a horizontal line, and so the gradient at x = -1 will be zero.
The function is decreasing when x < -1
[tex](- \infty,-1)[/tex]
The function is increasing when x > -1
[tex](-1, \infty)[/tex]
What is the best definition of area
Answers
Answer:
the region occupied in a plane is called area
Find the lateral surface area and surface area of a cone with a base radius of 4cm and a slant height of 10cm.
Answers
Answer:
Lateral surface: 135.34
surface area: 185.61
Step-by-step explanation:
Lateral surface formula: AL=πrh2+r2
surface area formula: A=πr(r+h2+r2)
I need help, question is in image.
Answers
Solve the system by substitution.
y=4x-9
y=x-3
Answers
X=4x-9+3
X=4x-6
X+6=4x |-x
6=3x |:3
X=2
Answer:
(2, -1)
Step-by-step explanation:
Given
y = 4x - 9y = x - 3Solving
Substitute the value of one of the y values from the other equation4x - 9 = x - 33x = 6x = 2y = 2 - 3y = -1⇒ (2, -1)solve the system:
2x+6y=36
x+4y=20
Answers
Let's solve this problem step-by-step
Let's set:
2x + 6y = 36 -- equation 1
x + 4y = 20 -- equation 2
(equation 2) * 2
2x + 8y = 40 -- equation 3
(equation 3) - (equation 1)
2y = 4
y = 2 -- equation 4
Plug (equation 4)'s value of y into (equation 2)
x + 4(2) = 20
x = 20 - 8
x = 12
Thus x = 12 and y = 2
Let's check, by substituting these values
[tex]2x + 6y = 36\\2(12)+6(2) = 36\\24+12=36\\36=36\\\\x+4y=20\\12+4(2)=20\\12+8=20\\20=20[/tex]
Answer: x = 12 and y = 2
Hope that helps!
Round 1 637, 984 off to: c) the nearest tenth
Answers
Answer:
1,637.984
hope this helps
What are the zeros of the polynomial function f(x) = x3 + x2 − 42x?
A. −7, 6
B. −6, 7
C. −6, 0, 7
D. −7, 0, 6
Answers
Answer:
D. -7, 0, 6
Step-by-step explanation:
[tex]x^3+x^2-42x=0[/tex]
[tex]x(x^2+x-42)=0[/tex]
[tex]x(x^2-6x+7x-42)=0[/tex]
[tex]x(x-6)(x+7)=0[/tex]
ZEROS:
x = 0
x = 6
x = -7
Hope this helps!
the ratio of angles in a triangle is 11:6:7. find the largest angle
Answers
Answer:
Step-by-step explanation:
PLS HELPPP WHAT IS THE ANSWER????
Answers
Answer:
212
Step-by-step explanation:
starting with (xy)
you first plug in x=2 and y=3
(2×3) = 6
then we add in the exponent of 3
6^3 = 216
this is because an exponent shows you how many times the number is multiple by itself (6×6×6)
next we work on x^4 by plugging in x=2
2^4=16
2×2×2×2
we do the same for x^2
2^2=4
2×2
next we do the division
16/4=4
finally we take the 216 and 4 and do the subtraction
216-4=212
Which expressions are equivalent? Check all that apply.
39
34
-9²
9
81¹
Answers
Answer:
-9²
81¹
They both are equal to 81.
I need help with problem 22
Answers
Answer:
6 art course and 7 writing coures