Answer:
first term is 6
Step-by-step explanation:
MULTIPLY BY 4
1) 6 (1st term)
2) 6x4 = 24 (24 is the second)
3) 24 x 4 = 96 (96 is the 3rd)
4) 96 x 4 = 384 (384 the 4th)
Graph each linear equation that passes through the given pair of points. Use graph paper.
1. (2,2) and (4,5)
2. (0,1/2) and (2,3/2)
3. (-1,2) and (5,0)
4(-5,-3) and (-3,5)
Answer:
The easier way to solve this is to find the two points in the coordinate axis, and just draw a line that passes through the two points.
But let's be more complete:
Let's find the equations for each line:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
1) Here the points are (2,2) and (4,5)
then the slope is:
a = (5 - 2)/(4 - 2) = 3/2
y = (3/2)*x + b
And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (2, 2)
2 = (3/2)*2 + b
2 = 3 + b
2 - 3 = b
-1 = b
y = (3/2)*x - 1
2) Here the points are (0,1/2) and (2,3/2)
then the slope is:
a = (3/2 - 1/2)/(2 - 0) = 1/2
y = (1/2)*x + b
And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (0, 1/2)
1/2 = (1/2)*0 + b
1/2 = b
y = (1/2)*x + 1/2
3) Here the points are (-1,2) and (5,0)
then the slope is:
a = (0 - 2)/(5 + 1) = -1/3
y = (-1/3)*x + b
And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-1, 2)
2 = (-1/3)*-1 + b
2 = 1/3 + b
2 - 1/3 = b
5/3 = b
y = (-1/3)*x + 5/3
4) Here the points are (-5,-3) and (-3,5)
then the slope is:
a = (5 + 3)/(-3 + 5) = -4
y = -4*x + b
And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-3, 5)
5 = -4*-3 + b
5 = 12 + b
5 - 12 = b
-7 = b
y = -4*x - 7
Now that we have all the equations, we can find the graphs.
where the colors are:
(4) green
(3) orange
(2) Blue
(1) Gray.
Suzy ordered some games online for $19 each. She paid a total of $8 for shipping. The total cost of the purchase was $122. How many games did she buy? 7) Using the word problem above, write an equation to find the number of games Suzy bought. (Hint: Don't do any of the steps to solve it, just write the equation) Your answer
Answer:
6
Step-by-step explanation:
122-8 shipping =114 /19=6
HURRRRY!!!! Thank you
Answer:
C
Step-by-step explanation:
Uhm I tried my best im so sorry if it's wrong
it is B yep he was right have a nice day
What is the solution set for
3x 2 + 48 = 0 ?
O {6.9, -6.9}
O {4, -4}
O {21, -21]
O {41 , -4; }
Answer:
{ 4i, - 4i }
Step-by-step explanation:
Given
3x² + 48 = 0 ( subtract 48 from both sides )
3x² = - 48 ( divide both sides by 3 )
x² = - 16 ( take the square root of both sides )
x = ± [tex]\sqrt{-16}[/tex] = ± 4i
solution set is { - 4i, 4i }
what is -2(15 ÷ 5) + 7(-2)
Answer:
-20
Step-by-step explanation:
can someone help answer this??
Answer:4
Step-by-step explanation:
it shows it on the table
Susan runs 22 km in 2 hours and 45 minutes. What is her average speed in km an hour? Explain your answer please!
Answer:
22km= 2 hours and 45 mins
To find speed: Distance/Time
22/2.75 = 8
Your answer 8km/h
Step-by-step explanation: When finding speed, the formula is always distance divided by time. 45 minutes of 60 minutes is 3/4 of an hour, and 3/4 is 0.75 is decimal. So you add the 2 + .75, and you'll get 2.75. After you convert the time, you begin dividing and you'll get your answer!
Find x (Type the number answer)
Answer:
18.41
Step-by-step explanation:
[tex]x^{2} = 12^{2} + 8^{2} - 2(12)(8)(cos 133)\\\\x= \sqrt{338.94} = 18.41[/tex]
Rob buys 50 feet of border to place around the ceiling of a room. The ceiling is shaped like a square with sides that are 10.8 feet long. How many feet of border will Rob have left?
Answer:
Step-by-step explanation:
Rob needs 43.2 feet of border to place around the ceiling and Rob will have 6.8 feet of border left after placing it around the ceiling.
What is distance?
Distance is the measure of how far apart two objects or locations are from each other. It is usually measured in units such as meters, kilometers, miles, or feet. Distance is a scalar quantity, meaning it has only magnitude and no direction.
The perimeter of the ceiling is equal to the total length of border that Rob will need. The perimeter of a square is given by the formula P = 4s, where s is the length of one side of the square.
In this case, the length of one side of the square ceiling is 10.8 feet, so the perimeter is:
P = 4s = 4(10.8) = 43.2 feet
Therefore, Rob needs 43.2 feet of border to place around the ceiling.
Since he has purchased 50 feet of border, he will have:
50 - 43.2 = 6.8 feet
Rob will have 6.8 feet of border left after placing it around the ceiling.
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Word problem: A High School had a musical in which students ($5 tickets) and adults ($7 tickets) attended. If a total of 47 tickets were sold and they made a total of $269. How many student tickets were sold and how many adult tickets were sold?
Answer:
30 of them were students
17 were adults
Step-by-step explanation:
bunny and rabbit problems
if they were all adults
7 x 47 = 329
329 - 269 = 60
60/ (7-5) = 30
30 of them were students
17 were adults
Why would a deferred annuity or annuities due be preferred as a retirement investment?
I believe the answer is: The tax deferred nature.
Investment is considered to has tax deferred nature if the tax payment for the investment can be made years later after its due. This favoured as a retirement plan because it make the investors have more money to spend during the productive years prior to retirement.
HELP ASAP!! WILL GIVE BRAINLIEST ❤️
Find the slope of the line passing through the given points using the slope formula. Enter the slope in
simplest form. Describe the slope as positive, negative, zero, or undefined.
(-5. 19) and (-1,7)
Answer:
[tex]m=-3[/tex]
The slope is negative.
General Formulas and Concepts:
Order of Operations: BPEMDASSlope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-5, 19)
Point (-1, 7)
Step 2: Find slope m
Substitute: [tex]m=\frac{7-19}{-1-(-5)}[/tex]Simplify: [tex]m=\frac{7-19}{-1+5}[/tex]Subtract/Add: [tex]m=\frac{-12}{4}[/tex]Divide: [tex]m=-3[/tex]find the x and y intercept
y=5x-13
Answer:
X int = 13/5 Y int= -13
Step-by-step explanation:
How many modes, if any, does the group of data have?
Kate, Tim, John, John, Angela, Tim, Sue 1 mode 2 modes no mode 3 modes
The number of modes in the dataset is 1. The dataset is unimodal. The correct option is therefore;
1 mode
What is a unimodal data?A unimodal data is a set of data that has only one mode. The mode is a measure of central tendency.
The data in the question can be presented as follows;
Kate, Tim, John, John, Angelam, Tim, Sue
The frequency of each of the data is therefore;
Kate; 1, Tim; 1, John; 2, Angela; 1, Tim; 1, Sue; 1
The mode of a dataset, is the value that has the highest frequency, or that appears the most in the dataset.
The data that has the highest frequency is John, the mode of the dataset is therefore, John, which has a frequency of 1
The dataset, therefore, has only 1 mode.Learn more on the measures of central tendency, mode median, and mean, of a dataset here: https://brainly.com/question/24994390
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Point P′(–6, –4) is the image of point P(–2, 3) under a translation. What is the image of (5, –1) under the same translation?
A. (9, 6)
B. (–1, –5)
C. (1, –8)
D. (3, 2)
Answer:c
Step-by-step explanation:
A person’s weekly pay is directly proportional to the number of hours worked. Shawn’s pay is $123.00for 20 hours of work. Find the amount of pay for 31 hours of work. ONLY NUMERICAL VALUE
Answer:
$190.65 for 31 hours
Step-by-step explanation:
P= ha
123=20a
123/20=a
6.15=a
P=6.15h
P= 6.15(31)
p=190.65
Apply the distributive property to create an equivalent expression. (4b + 2e + 3) 3 =
Answer:
12b+6e+9
Step-by-step explanation:
You multiply 3 with every number inside the parentheses.
(3x4b)=12b
(3x2e)=6e
(3x3)=9
Help me plzzzzz
A cyclist rides her bike at a speed of 9 kilometers per hour. What is this speed in kilometers per minute? How many kilometers will the cyclist travel in 10 minutes? Do not round your answers.
Answer:
per minute: 0.15 km
in 10 minutes: 1.5
Step-by-step explanation:
there are 60 minutes in an hour. we need to find the constant rate of change (is that the name sorry). so 9/60 is 0.15. now we know she goes 0.15 km per minute. then do 10 times 0.15 since 10 minutes. you get 1.5. now we know.
9. a - 2a +5
pls help i’m kinda dumb
Your cell phone plan costs $34.99 per month plus $0.15 for each text message you send or receive. You have at most $40 to spend on your cell phone bill. what is the maximum number of text messages that you can send or receive next month?
Answer:
33 texts
Step-by-step explanation:
34.99+0.15(t)=40
lets say t is number of texts
subtract 34.99 from both sides
0.15(t)=$5.01
divide 5.01 by .15
33.4
but you cant send .4 of a text
so 33 texts
HELP PLEASE GET BRAINLIST!!
solve for x,
90 - 3/2x ≤ 30
Answer: x>- -40
Step-by-step explanation:
Which of the ratios below is equivalent to 1:8? Select all that apply.
A) 16:2
B) 3:24
C) 4:12
D) 5:40
E) 7:56
Answer:
B. 3:24, D. 5:40 E.7:56
Step-by-step explanation:
3:24 = 1:8 (Dividing by 3)
5:40 = 1:8 (Dividing by 5)
7:56 = 1:8 (Dividing by 7)
The ratios that are equivalent to 1:8 are:
3:24, 5:40, and 7:56.
Options B, D, and E are the correct answer.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
A)
16:2
= 16/2
= 8/1
= 8:1
B)
3:24
= 3/24
= 1/8
= 1:8
C)
4:12
= 4/12
= 1/3
= 1:3
D)
5:40
= 5/40
= 1/8
= 1:8
E)
7:56
= 7/56
= 1/8
= 1:8
Thus,
3:24, 5:40, and 7:56 are equivalent to 1:8.
Learn more about ratios here:
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Giving brainiest explain answer
Answer:
B.) Carrier B
Step-by-step explanation:
The unit rate would be [tex]c = 12t[/tex]. Since the cost for 2 minutes is $0.24 it is easy to figure out that for 1 minute it would be $0.12.
Might be a bit confusing, but hope it helps.
Evaluate the following expression. Type your answer as a number.
8 + 23 - (4 × 3) =
the 23 is a exponet jus to let you know
its 2
Hope this helps! <3
Using the divisibility rules, explain why 678 is divisible by 2, 3, and 6.
Answer:
678
678 is even, so it's divisible by 2
6+7+8 = 21, which is divisible by 3, so 678 is divisible by 3
Since 678 is divisible by both 2 and 3, it has to be divisible by 6
Step-by-step explanation:
HELP ME PLEASE!
Complete the work to find the equation of a line that passes through point (–5, –3) and is parallel to line y – 3x = –7. Step 1: Write the equation of the given line in slope intercept form: y = 3x – 7. Step 2: Determine the slope of the parallel line: m = 3. Step 3: Substitute the slope and given point into y = mx + b to find the y-intercept of the new line. –3 = 3 (–5 ) + b 3 = –15 + b b = 12 Step 4: Write the equation of the line parallel to 3x – y = 7 that passes through point (–5, –3).
Answer:
Y=3x+12 (its the first option)
Step-by-step explanation:
I did the assignment.
The equation of the line parallel to (3x - y = 7) passes through the point (-5, -3) is y = 3x + 2 and this can be determined by using the one-point slope form.
Given :
The line passes through the point (-5, -3) and is parallel to the line (y - 3x = -7).
The following steps can be used in order to determine the equation of a line that passes through the point (-5, -3) and is parallel to the line (y - 3x = -7):
Step 1 - The one-point form of a line is used in order to determine the equation of a line that passes through the point (-5, -3) and is parallel to the line (y - 3x = -7).
Step 2 - The one-point form is given below:
[tex](y-y_1) = m (x-x_1)[/tex]
Step 3 - According to the given data, the line is parallel to the line (y = 3x - 7). So, the slope of the line is 3.
Step 4 - Now, substitute the values of slope and the point in the above expression.
[tex](y+3) = 3 (x+5)[/tex]
y = 3x + 2
For more information, refer to the link given below:
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I need help on this one
Answer:
A
Step-by-step explanation:
Im so confused pls help
Step-by-step explanation:
[tex] f(x) \: = \: \frac{4}{5} - \frac{5}{x + 1} [/tex]
[tex]f(x) \: \: = \: \: \frac{(4)(x + 1) - 5(5)}{5x + 5} [/tex]
[tex]f(x) \: \: = \: \: \frac{4x + 4 - 25}{5x + 5} [/tex]
[tex]f(x) \: \: = \: \: \frac{4x - 21}{5x + 5} [/tex]
f(x) = g(x)
[tex] \frac{4x - 21}{5x + 5} = \frac{2}{5x + 5} [/tex]
4x - 21 = 2
x = (21 + 2)/4
x = 5.75
A store sells ice cream with assorted toppings. They charge $3.00 for an ice cream, plus 50 cents per ounce of toppings. If Elena’s ice cream cost $1.50 more than Jada’s ice cream, how much more did Elena’s toppings weigh?
Answer:
3 ounces more
Step-by-step explanation:
50*3 =1.50
3.00+1.50= 4.50
Match the vocabulary word with the correct definition.
Answer:
1. right triangle - a triangle with one angle that measures 90 degrees
2.radius- a line segment from the center of a circle to any point on the circle
3. ray- a part of a line that has 1 endpoint that goes in one direction forever
4. rotational symmetry- a property that allows a figure to be rotated less than 360 degrees and still look the same
5. regular polygon- a polygon whose sides are all the same lengths and whose angles are the same measure
6. reflection- a transformation in which a figure is flipped across a line to give a mirror image of the original figure
Step-by-step explanation: