Graph the following equations by plotting 3 points and then connecting the points to form a line. Show your work to find the 3 points and then list the ordered pairs you used as part of your answer.
Answer:
The way I would tackle these types of problems would be to make a table, then graph the points using the results I get.
Step-by-step explanation:
So explaining the table is kinda hard since I suck at explaining, so I've attached a file showing the table I've made for number 1.
First Step:
Make the table. Make it a 3x4 table. For the top row, put y, the equation (I put 'y=2x' as shown in number 1), then x. Then for the left column, go down by one box, then put: -1, 0, 1. Really, you can put any numbers, but to make it easy for yourself, just write the numbers I've listed. These will be your y-values you'll be substituting.
Second Step:
a.) Plugging in the numbers. For the middle column, I've put down y=2x in each box, as shown in my table. Then for each of those boxes, plug in the numbers to the left of them and substitute them for the y-value. For example, look at the second row. The left box has '-1', so I replaced the 'y' in the equation and got '(-1)=2x'.
b.) After substituting the y-values, solve for x. For this case, you'll need to divide both sides by 2. If it doesn't make much sense, think about a seesaw. If you have 5 pounds on both sides, the seesaw will stay balanced. Add an additional 5 pounds to one side, then the seesaw will start tipping towards the heavier sides. So in order to keep an equation balanced, you must do any action to both sides of the equation. After diving both sides by 2, you'll get the value for x.
Final Step:
After finding the x-values for each of the y-values, it's time to graph the equations. Remember, x is left to right and y is down to up. To graph them, let's use the second row for example. y=-1 and x=-0.5. So all you need to do is to start from the origin (0,0), then go half a unit to the left, as x is negative, then go a unit down, as y is negative, then make a point. The rest should be pretty straight forward.
After making all three points, just get a ruler or any straight edge, then align it along those three points, then just make a line, and boom! You've solved number 1! For the purpose of saving my time, I'm pretty sure you can solve the rest using what I've just told you. Good luck!
What is the area of Figure ABCD? PLS HELP 50 POINTS PLSSSSSSSSSSSSSSSSSSSS
BEST ANSWER GET BRAINLY
Answer:
112 in^2
Step-by-step explanation:
First find the area of the rectangle
A = l*w = 14*7 =98
Then find the area of the triangle
A = 1/2 bh = 1/2 (18-14) *7 = 1/2 (4)*7 = 14
Add the areas together
98+14 =112
Hello!
[tex]\large\boxed{A = 112in^2}[/tex]
We can use the formula for the area of a trapezoid to solve:
A = 1/2(b1 + b2) · h
Thus:
A = 1/2(18 + 14) · 7
Simplify:
A = 1/2(32) · 7
A = 16 · 7
A = 112 in²
Natasha can ride her bike at a rate of 10 miles per hour. How many miles can she go if she rides from 10:00 A.M. To 3:00 P.M.
Answer:
50 miles
Step-by-step explanation:
There are 5 hours in between 10 AM and 3 PM.
Find how many miles she can go by multiplying 5 by 10, since she rides at 10 miles per hour:
5(10)
= 50
So, Natasha will ride 50 miles
Turn 2/sqrt(5) into Rational Number with Conjugate Turn -(5/sqrt(3)) into Rational Number with Conjugate Turn (3+sqrt(2))/sqrt(3) into Rational Number with Conjugate
Find the measure of the angle formed between the base of the cone and a line segment that represents the slant height.
Answer:
Step-by-step explanation:
tan Ф = opposite / adjacent
Ф = arctan ( 2 / 6)
Ф = 18.4349° ( this is the angle opposite of the one wanted, or ∠C)
then
180 = 90+ 18.4349° +∠A
71.565 = ∠A
Which statement is true regarding the graphed
functions?
• fO) = 2 and g(-2) = 0
•f(0) = 4 and g(-2) = 4
•f(2)= 0 and g(-2) = 0
•f(-2) = 0 and g(-2) = 0
Answer:
I say it's the third option
Step-by-step explanation:
I could be wrong but I hope this help
A metric calendar has 1 metric year equivalent to our calendar year of 365 days. A metric year is divided into 10 equal metric months; a metric month is divided into 10 equal metric weeks; a metric week is divided into 10 equal metric days. To the nearest day of our calendar, how many days are there in 4 metric months, 5 metric weeks and 8 metric days
Answer:
The total metric days are 458 days.
Step-by-step explanation:
1 metric year = 375 days
1 metric year = 10 metric months
1 metric month = 10 metric week
1 metric week = 10 metric days
4 metric months = 10 x 4 x 10 metric days = 400 metric days
5 metric weeks = 5 x 10 metric days = 50 metric days
So, the total number of metric days = 400 + 50 + 8 = 458 metric days
Someone please help me I got this incorrect & I’m really struggling
Answer:
X=5or -2
Step-by-step explanation:
x²-3x-10=0
x²-(5-2)x-10=0
x²-5x+2x-10=0
x(x-5)+2(x-5)=0
(x-5)(x+2)=0
either Or
x-5=0 x+2=0
x=5 x=-2
Can someone help me with this
Answer:
b) 8
I assume the question is suggesting that you cant "cut" any of the cubes
so that the "division" has to result in an integer
Step-by-step explanation:
7 85.71428571
8 75
9 66.66666667
10 60
4.
Congratulations! You won a contest sponsored by a local radio station. If you were given the choice of the two payment plans listed below, which plan will pay you more? How much more? Be sure to show all evidence including formulas used for calculations.
A. $1 on the first day, $2 on the second day $3 on the third day etc. for 1 week.
B. $0.01 on the first day , $0.02 on the second day , $0.04 on the third day etc.. For 1 week.
Answer:
Step-by-step explanation:
a) 1 + 2 + 3 .... + 7 = 8*(3.5) = $28
b) $0.01
$0.02
$0.04
$0.08
$0.16
$0.32
$0.64
sum = $1.27
Which function represents g(x), a reflection of f(x) = }
(10)* across the x-axis?
O g(x) = - (10)*
O g(x) = -(0)
O g(x) = (10)
O g(x) = { (10)*
Answer:
[tex]g(x) = -(10)^x[/tex]
Step-by-step explanation:
For a general function f(x), a reflection across the x-axis is written as:
g(x) = -f(x)
So, if here the function is:
[tex]f(x) = 10^x[/tex]
The reflection across the x-axis is:
[tex]g(x) = -f(x) = -(10)^x[/tex]
The correct option is the first one, counting from the top.
pls help explain if u can
Answer:
A dilation (similarity transformation) is a transformation that changes the size of a figure. It requires a center point and a scale factor , k . The value of k determines whether the dilation is an enlargement or a reduction.
In simple words, it's stretching, when you dilate with scale factor of x, means you multiply the previous value with x, say co-ordinates area -2,4, so you do (-2x,4x) to find the co-ordinates after dialation,
Here the scale factor is 3, so the new co-ordinates are,
(-2×3, 4×3) which is A' (-6, 12)
similarly,
B' (12, -3)
C' (-3, -6)
Answered by GAUTHMATH
Answer:
A’(-6;12)
B’(12;-3)
C’(-3;-6)
Step-by-step explanation:
If k is the factor then it means you have to multiply the coordinates of each point ( A, B and C).
So for example:
A’=3xA so when A(x;y) -> A’( 3x;3y)
So you have :
A’(-6;12)
B’(12;-3)
C’(-3;-6)
Then you just have to put them into a scale and rely them three to have your figure .
Hope it helps you.
Have a nice rest of your day :)
The cafeteria uses rectangular trays with a raised edge around them. The area of the flat surface of each tray is 228 Inches squared and its length is 19 inches. What is the perimeter of the tray, where the raised edge is?
To find the width, use the formula w = StartFraction A Over l EndFraction, where w represents the width, A represents the area and l represents the length. To determine the perimeter, use the formula P = 2 l + 2 w, where P represents the perimeter, l represents the length, and w represents the width.
Answer: D 62 inches
Step-by-step explanation: Given area of each tray = 228 in2 inches
Answer:
ddddddddddd
Step-by-step explanation:
Can someone help me with this math homework please!
Given:
The sequence is:
-3, 5, -7, 9, -11,...
To find:
The correct statement about the given sequence.
Solution:
We have,
-3, 5, -7, 9, -11,...
Here, "..." means there are more terms in the sequence. So, the sequence has more than 5 terms and option A is incorrect.
From the given sequence it is clear that the 4th term is 9. So, option B is correct.
Clearly, 5th terms is -11. So, [tex]f(5)=-11[/tex] and option C is incorrect.
The domain of a sequence is always the set of natural numbers. So, option D is correct.
In the given sequence the 4th term is 9. It means the point (4,9) lies on the graph of the sequence. So, option E is correct.
Therefore, the correct options are B, D, E.
Jennifer travels from Boston , Massachusetts, to Fairfield, Connecticut, a distance of 90 miles, at a speed of 45 miles per hour, and returns at a speed of 60 miles per hour. To the nearest half mile per hour, what is Jennifer's average rate for the whole trip?
A) 50 1/2
B) 51
C) 51 1/2
D) 52 1/2
E) 53 1/2
Answer: 52 1/2
Step-by-step explanation: I just found the average of the numbers.
What is the product? StartFraction 3 k Over k + 1 EndFraction times StartFraction k squared minus 1 Over 3 k cubed EndFraction StartFraction k + 1 Over k squared EndFraction StartFraction k minus 1 Over k squared EndFraction StartFraction negative 1 Over k EndFraction StartFraction 1 Over k EndFraction
Answer:
StartFraction negative 1 Over k cubed EndFraction
Step-by-step explanation:
3k / (k + 1) × (k²- 1) / 3k³
= 3k(k² - 1) / (k + 1)(3k³)
= 3k³ - 3k / 3k⁴ + 3k³
= -3k / 3k⁴
= -1/k³
StartFraction k + 1 Over k squared EndFraction
(k + 1) / k²
StartFraction k minus 1 Over k squared EndFraction
(k - 1)/k²
StartFraction negative 1 Over k cubed EndFraction
= -1/k³
StartFraction 1 Over k EndFraction
= 1/k
Answer:
B: k - 1 / k^2
Step-by-step explanation:
A man earned $3000 the first year he worked. If he received a raise of $600 at the end of each year, what was his salary during the 15th year?
A) $8400
B) None of these
C) $11,400
D) $12,000
Answer:
$11,400
Step-by-step explanation:
3,000+14(600)=11,400
We know that it expands by $600 a year and we are looking for the salary during the 15th year. During the 15th year, it could be using the salary of the 14th year since it is during not after. We then add that to the base salary of $3,000 so then we have $11,400.
The volume of a cylinder is given by the formula V=πr^2h, where r is the radius of the cylinder and h is the height. Which expression represents the volume of this cylinder?
h=2x+7
r=x-3
Options:
1: 2πx^3 - 12πx^2 - 24πx + 63π
2: 2πx^3 - 5πx^2 - 24πx + 63π
3: 2πx^3 + 7πx^2 - 18πx - 63π
4: 2πx^3 + 7πx^2 + 18πx + 63π
Images for more detail:
Answer:
B
Step-by-step explanation:
We are given a cylinder with a height of (2x + 7) and a radius of (x - 3).
And we want to find the expression for the volume of the cylinder.
Recall that the volume of a cylinder is given by:
[tex]\displaystyle V = \pi r^2 h[/tex]
Where r is the radius and h is the height.
Substitute:
[tex]\displaystyle V = \pi(x-3)^2(2x+7)[/tex]
Expand. We can use the perfect square trinomial pattern:
[tex]\displaystyle V = \pi \left[\underbrace{(x^2-6x+9)}_{(a-b)^2=a^2-2ab+b^2}(2x+7)\right][/tex]
Distribute:
[tex]V=\pi \left[ 2x(x^2-6x+9)+7(x^2-6x+9)\right][/tex]
Distribute:
[tex]V = \pi \left[(2x^3-12x^2+18x)+(7x^2-42x+63)\right][/tex]
Rewrite:
[tex]V = \pi\left[(2x^3)+(-12x^2+7x^2)+(18x-42x)+(63)\right][/tex]
Combine like terms:
[tex]V = \pi (2x^3-5x^2-24x+63)[/tex]
Distribute:
[tex]V = 2\pi x^3-5\pi x^2 -24\pi x+63\pi[/tex]
Hence, our answer is B.
Can you use the SSS Postulate to prove QPS≈QRS?
by SAS only
by SSS only
both apply
neither apply
Answer:
by SAS only
Step-by-step explanation:
based on the diagram we only have one side and one angle explicitly identified as equivalent.
but we have an implicit confirmation of the second side QS to the enclosed angle, because the triangles are presented that this side is the same for both triangles.
so, SAS applies (but no other, as we don't have any information on the 3rd side).
The equation $y = -4.9t^2 + 42t + 18.9$ describes the height (in meters) of a ball tossed up in the air at 42 meters per second from a height of 18.9 meters from the ground, as a function of time in seconds. In how many seconds will the ball hit the ground?
Answer:
9 seconds
Step-by-step explanation:
y = -4.9t² +42t +18.9
if the ball will be on the ground then y =0 and we need to find t by solving the quadratic equation
-4.9t² +42t +18.9 = 0
t= (-b±√b²-4ac)/2a, quadratic formula
t= {-42±√[42²-4*(-4.9)(18.9)] }/ 2(-4.9) , use calculator to solve
t= (-42 ±√2134.44)/ -9.8, solve the square root
t= (-42 ±46.2)/-9.8
one t = (-42 - 46.2)/-9.8 = - 88.2/ -9.8 = 9 seconds
another t = (-42 + 46.2)/-9.8 = 4.2 / -9.8 ≈ - 0.43 seconds reject this answer
What is the measure of Lx?
Answer:
B.72°
is the correct answer.hope it helps .stay safe healthy and happy..Reduce to simplest form
Answer:
-1 5/28
Step-by-step explanation:
-3/7 + (-3/4)
Get a common denominator of 28
-3/7 *4/4 = -12/28
-3/4 *7/7 = -21/28
-12/28 + -21/28
-33/28
-28/28 - 5/28
-1 5/28
Si en 11 cajas de chocolates hay 220 chocolates en total. Calcula cuántos chocolates habrá en total en 5 cajas de chocolates.
Answer:
Habrá 100 chocolates en total en 5 cajas de chocolates.
Step-by-step explanation:
Esta pregunta es resolvida usando proporciones, con lo uso de regla de tres .
11 cajas, 220 chocolates:
Entonces:
[tex]\frac{220}{11} = 20[/tex]
20 chocolates por caja.
Calcula cuántos chocolates habrá en total en 5 cajas de chocolates.
20 chocolates por caja, entonces:
5*20 = 100
Habrá 100 chocolates en total en 5 cajas de chocolates.
f(x) = x³ + x² - 22x - 40
Answer:
it would equal 24 I think that's what it would be
Which of the following is not a property of quadrilaterals?
A.
There are four sides.
B.
There are four diagonals.
C.
There are four vertices.
D.
The measures of the interior angles add up to 360 degrees
Please select the best answer from the choices provided
Answer:
The correct answer for this question is letter "(B) There are four diagonals." It is not a property of quadrilaterals.
Answer:
b
it has 2 diagonals crossing each other
what is the eqution of the line through the orgin and (-2,3)
Answer:
Origin = (0, 0)
Gradient or slope:
[tex]{ \tt{slope = \frac{(0 - 3)}{(0 - ( - 2))} }} \\ { \tt{slope = - \frac{3}{2} }}[/tex]
General equation of line:
[tex]{ \bf{y = mx + c}}[/tex]
Consider the origin:
[tex]{ \tt{0 = ( - \frac{3}{2} \times 0) + c }} \\ c = 0[/tex]
Equation of line:
[tex]{ \tt{y = - \frac{3}{2}x }} \\ { \tt{2y = - 3x}}[/tex]
Answer:
-2y+3x=0
Step-by-step explanation:
Slop=(3-0)/(-2-0)=-3/2
(Y-Y1) =m(x-x1)
(y-3) =-3/2(x+2)
-2y+3x=0
Use elimination to solve the system 4x + 7y = –14 and 8x + 5y = 8 for x. Round to the nearest tenth.
Answer:
X= 7/2
Step-by-step explanation:
Multiply first equation by -2 and second equation by 1
-2(4x+7y=-14)
1(8x+5y= 8)
= -8x -14y =28
8x+5y=8
Add these equations to eliminate X:
-9y=36
-9y/-9 = 36/-9
y=- 4
Plug in Y to find X
4x + 7y = -14
4x+7(-4) = -14
4x-28+28= -14+28
4x= 14
X= 7/2
Answered by Gauthmath
Answer: x=3 and 1/2
Step-by-step explanation: Happy to Help (0.<)
What is an equation of the line that passes through the points (3, 1)(3,1) and (-3, -7)(−3,−7)?
Answer:
y = (4/3)x - 3
Step-by-step explanation:
What is an equation of the line that passes through the points (3, 1) and (-3, -7)? (Do not repeat the coordinates of the points.)
First we need to find the slope of the line through these two points. From (-3, -7) to (3, 1), x increases by 6 (which is the 'run') and y increases from -7 to 1 ( a 'rise' of 8). Thus, the slope of this line is m = rise/run = 8/6, or m = 4/3.
Using the point-slope formula as our starting point, we insert the known values m = 4/3 and point (3, 1):
y - k = m(x - h) becomes y - 1 = (4/3)(x - 3). This in itself is a satisfactory answer. We could also write this equation in slope-intercept form, as follows:
y = 1 + (4/3)x - 4, or
y = (4/3)x - 3
round off 6.342 correct to 2 decimal place
Answer:
6.34
Step-by-step explanation:
when rounding 5 or more round up 4 or less round down. hope it helps.
Answer:
6.34
Step-by-step explanation:
if your asking for only 2 decimal places 6.342 rounds down because 2 is less than 5 leaving you with 6.34.
You would round up if the last digit in the number your rounding is 5 or more and round down if it is less than 5. Merely because 5 is the halfway point.
Hope this helps good luck
Make d the subject h=d/3+2
Answer:
[tex]d = 3h - 6[/tex]
Step-by-step explanation:
Step 1: Solve for d
I am assuming that you are asking for me to solve for the variable d. Let me know if what I am doing is not what you want.
[tex]h = \frac{d}{3} + 2[/tex]
[tex]h - 2 = \frac{d}{3} + 2 - 2[/tex]
[tex](h - 2) * 3 = \frac{d}{3} * 3[/tex]
[tex]3h - 6 = d[/tex]
Answer: [tex]d = 3h - 6[/tex]
