Step-by-step explanation:
Step 1: Factor both the numerator and the denominator.
Step 2: Write as one fraction.
Step 3: Simplify the rational expression.
Step 4: Multiply any remaining factors in the numerator and/or denominator.
Step 1: Factor both the numerator and the denominator.
Step 2: Write as one fraction
Let A={2,3,4} B={2,5,6} C={5,6,2} and D={6}. Determine if the following statements are true:
i). 4€C
ii). 5€C
iii). A=B
iv). B=C
Answer:
i. 4∈C => False
ii. 5∈C => True
iii. A = B => False
iv. B=C => True
Step-by-step explanation:
Given sets are:
[tex]A = \{2,3,4\}\\B = \{2,5,6\}\\C = \{5,6,2\}\\D = \{6\}[/tex]
Lets look at the statements one by one.
i. 4∈C
This statement means that 4 is a member of set C. Looking at the members of set C, it can be concluded that the statement is wrong as C doesn't contain 4.
ii. 5∈C
This statement is true as 5 is a member of C.
iii. A=B
This statement states that set A is equal to set B. Two sets are said to be equal if there number of elements and members are same. Set A and Set B have different members so this statement is false.
iv. B=C
Set B and Set C have equal number of members and the members (5,6,2) are also same so the statement is true.
Hence,
i. 4∈C => False
ii. 5∈C => True
iii. A = B => False
iv. B=C => True
4÷3/5 what is the answer plz help me out thanks
[tex]4 \div \frac{3}{?5} [/tex]
Answer:
15
Step-by-step explanation:
Answer:
4/ 3/5
4×5/3
20/3
6.67
are you clear, if yes give me brainliest and if no draw my attention by hitting the comment section
Which number is an integer?
Answer:
The answer is C, 2.
Step-by-step explanation:
An integer is any whole number.
If this helped I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
The number from the given options that would represent an integer is C. 2.
What are integers ?An integer is a number that can be written without a fractional or decimal component. It includes positive and negative whole numbers, as well as zero.
Given the options:
3/4 = 0.75 ( a fraction, not an integer)
1/5 = 0.2 (a fraction, not an integer)
2 (a whole number and hence an integer)
Therefore, the only number among the provided options that is an integer is '2'.
Knowing if a number is an integer or not can affect calculations, problem-solving strategies, and our understanding of mathematical concepts.
In conclusion, option C is correct.
Find out more on integers at https://brainly.com/question/929808
#SPJ6
Simplify the expression
Show your work please so I can understand not just the answer please ❤️❤️
Answer:453rft
Step-by-step explanation:
Answer:
-1.6r + 1.8
Step-by-step explanation:
-1.6 (r+2) +5
^ the -1.6 can be distributed to the (r+2) because it's basically multiplying
that becomes --> -1.6r + -3.2 + 5
Now the -3.2 and 5 are like terms so they can be solved together
-> -3.2 + 5 = 1.8
Now, -1.6r and 1.8 are not like terms because 1.8 does not have an r attached to it so you cannot do nothing from there
your answer becomes = -1.6r + 1.8
Consider these functions: f(x) = 4x^3 - 10 g(x) = [tex]\frac{3x - 4}{2}[/tex] What is the value of g(f(2))?
A. -6
B. 2
C. 19
D. 31
Answer:
D. 31
Step-by-step explanation:
First Plug 2 into f(x) and solve.
You should get 22.
Then plug f(2) which is equal to 22 into g(x).
So, plug 22 into g(x).
You should get 31.
Erin weighs 135 pounds and is gaining ½ pound each week. Miranda weighs 143 pounds and is losing ¼ pound each week. Write an equation that could be used to determine x, the number of weeks that it will take until the two girls weigh the same amount?
Answer:
10.66 weeksStep-by-step explanation:
Number of weeks is x
135 + 1/2x = 143 - 1/4x1/2x + 1/4x = 143 - 1353/4x = 8x = 32/3 = 10.66 weeksAnswer:
[tex]135+\frac{1}{2}x=143-\frac{1}{4}x[/tex]
Step-by-step explanation:
Let E represent Erin’s weight, and let M reprevent Miranda’s weight.
And let x represent the amount of week that passes.
Eric is currently 135 pounds. However, she is gaining 1/2 pounds per week x.
Hence, we can write the following equation:
[tex]D=135+\frac{1}{2}x[/tex]
Miranda currently weights 143 pounts. However, she is losing 1/4 pounds per week x.
Since she is losing weight, 1/4 is negative. Hence:
[tex]M=143-\frac{1}{4}x[/tex]
When the two girls weigh the same, D=M. Thus:
[tex]D=M[/tex]
Substitute them for their respective equations to acquire:
[tex]135+\frac{1}{2}x=143-\frac{1}{4}x[/tex]
Notes:
To solve, first eliminate the fractions by multiplying everything by 4. This yields:
[tex]540+2x=572-x[/tex]
Add x to both sides. Subtract 540 from both sides:
[tex]3x=32[/tex]
Divide both sides by 3:
[tex]x=32/3\approx10.67[/tex]
Hence, it will take about 11 weeks for the girls to weigh the same.
Which phrase correctly describes the expression 4 × 3 –1?
One minus the product of four and three
One less than the product of four and three
One less than the sum of four and three
Four times the difference of three and one
Answer: d
Step-by-step explanation: it is d
I need part A and B now please
Thank you!!
Answer:
[tex]\Large\boxed{\text{The amount of money changes by \$50 per week.}}[/tex]
[tex]\Large\boxed{s(t) = 70+50t}[/tex]
Step-by-step explanation:
We can create a function based on this scenario.
We know that you start with $70. This would be a constant. So, we already know that our function will contain +70.
If we earn $50 a week, we know that we can create an expression here to find how much we make based on how many weeks we spend, assuming t represents the amount of weeks we spent.
[tex]50t[/tex]
We can add this to our original constant of 70.
[tex]70+50t[/tex]
Since the output will be a function based on how many weeks we spend, we can make it equal to s(t).
[tex]s(t) = 70+50t[/tex]
The slope here is 50, meaning that every week we earn 50 dollars more.
This means the amount of money changes by 50$ per week.
Hope this helped!
Does
7
8
÷
3
8
=
7
3
= 2
1
3
To check, multiply
by
3
8
.
The product is
.
Answer:
7/3 then 7/8
Step-by-step explanation:
I got it right on edge 2020
Can a number be a natural number but not a rational number? Explain your reasoning. PLEASEE HURRRYYY
Bella bought 3.2 meters of ribbon to decorate her pencils case.
Answer: 1.47
Step-by-step explanation:i did the quiz and got it right
WILL MARK BRAINLIEST Given the table of value below, which of the following ordered pairs are found on the graph of the inverse function ?
Answer:
D
Step-by-step explanation:
Michelle is a server in a restaurant. On a weekend night, Michelle earned $4 an hour and $65 in tips. She made a total of $93. Write and solve an equation to determine how many hours she worked. On Monday, Ken spent half of his money on a new game. The next day he earned $12 mowing lawns. He now has $32. How much money did Ken have before bought the game? I need the equation too.
Answer:
first question: Michelle worked for 7 hours
second question: Ken had $40 before buying the game
Step-by-step explanation:
4x + 65 = 93
4x = 28, x = 7
Michelle worked for 7 hours
Ken 1/2x + 12 = 32
1/2x = 20
x = 20. 20*2 = $40, ken has $40 before buying the game.
Instructions are in the image attached...
Answer:
26) (2,-3) (-2,0)
27) (2,4) (-6,9)
Step-by-step explanation:
Now the slopes and the y-intercepts.
Find - 1 5/6 + (-1/3) in a number line
Answer:
put it on -1
Step-by-step explanation:
you turn the mixed number into an improper fraction and then you turn -11/6 to have a denominator of 3 so then it comes out to -1 1/2 over 3 then you multiply the 3 times 2 and the 1 1/2 times 2 and you get -3/3 and equals out to -1
Given an equation y=-3x +5, explain the steps for using slope-intercept form to graph this equation.
A.Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point move left 3 units and up 1 unit, and plot a second point.
B. Use the y-intercept to plot the point (5,0). Then, using the y-intercept as a reference point, move right 3 units and up 1 unit , and plot a second point.
C.Use the y-intercept to plot the point (5,0). Then, using the y-intercept as a reference point, move left 3 units and up 1 unit, and plot a second point.
D. Use the y-intercept to plot the point (0,5). Then using the y-intercept as a reference point, move left 1 unit and up 3 units, and plot a second point
Answer:
A.Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point move left 3 units and up 1 unit, and plot a second point.
Step-by-step explanation:
5 is the y intercept, so 0,5 is where you would start and then 3 is the same as 3/1 so you go up 3 over 1.
Hope this helps!
100 Points Linear Equations
1.) Write the equation of a line in point-slope form that has a slope of 3 and goes through the point (2,-4).
2.) Write the equation of a line in point-slope form that has a slope of -1/4 and a y-intercept of 5.
3.) Check Image below
4.) Check Image below
Answer:
y=3x+1
y=-1/4+5
3 is the lope 1 is the intercept
#1
[tex]\\ \tt\hookrightarrow y+4=3(x-2)[/tex]
[tex]\\ \tt\hookrightarrow y+4=3x-6[/tex]
[tex]\\ \tt\hookrightarrow 3x-y-10=0[/tex]
#2.
m=-1/4b=5[tex]\\ \tt\hookrightarrow y=mx+b[/tex]
[tex]\\ \tt\hookrightarrow y=-1/4x+5[/tex]
plz help me I don’t get there problem!!!!
Answer:
its C. do you need an explanation? i could give one if you want
Step-by-step explanation:
I NEED HELP WITH THIS QUESTION
Answer:
y= 7 and -1
Step-by-step explanation:
If Google has 2.54x10^5 hard drives in one building and each hard drive holds 5.8x10^14 bytes of data. How many bytes of data are in the one building?
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bigdickdaddy
Evaluate the expression for the given value of the variables.
0.9c - 2.3d
C= 17, D= 3
WHAT'S 0.9c - 2.3d
Answer:
8.4
Step-by-step explanation:
0.9c - 2.3d
given c = 17 and d = 3, substitute these into the expression:
0.9c - 2.3d
= 0.9(17) - 2.3(3)
= 15.3 - 6.9
= 8.4
The measures of two angles of a triangle are 38° and 47°. What type of triangle is this?
a. acute b. obtuse c. right d. equiangular
Answer:
acute
Step-by-step explanation:
it is less than 90 degrees, making it an acute triangle
Greg invests $400 in a savings account that earns 6% simple interest annually. If he does not make any additional deposits or withdrawals, how much money will be in the savings account after 2 years?
Answer: your answer is 4800
Step-by-step explanation:
A line goes through the points (6,2) and (−10,−3). Find its slope. Enter your answer as a simplified improper fraction, if necessary. Do not include "m=" in your answer. Provide your answer below:
-16/5
Step-by-step explanation:
calculating the gradient you use the formula change in y/change in X
subtract y coordinate -3-6=-5
subtract X coordinate -10-6 =-16
-16/5 = -16/5 or -3.2
During a snowstorm, the temperature drops from 0°F to -10°F in 2 hours. On average,by how many degrees is the temperature changing per hour?
Answer:
-5°F
Step-by-step explanation:
As, in 2 hrs = - 10°F
For 1 hr = - 10°F/2 = - 5°F
So, answer = - 5°F
DO AUVT and AKU in the figure annear to he similar? Why or why not?
Answer:
A.
Step-by-step explanation:
Check the attachment below for more detailed explanation
The circumference of a circle is 31.4. What is the are of the circle?
So should 243 be divided by 4
Answer:
sure... y not
Step-by-step explanation:
243÷4=60.75
which line is parallel to y=1/2x+5?
Answer:
the first one (y = 1/2x - 7)
Step-by-step explanation:
If the lines are parallel, the slope has to be the same.
Find the product. Simplify before multiplying.
12/21 x 7/9
Answer:
4/9
Step-by-step explanation:
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