Answer:
Rational expression
Step-by-step explanation:
A rational expression is a quotient of two polynomials, where the polynomial in the denominator is not zero. Rational expressions can often be simplified by removing terms that can be factored out of the numerator and denominator. These can be either numbers or functions of x
A rational function is a function that can be expressed as the quotient of two polynomial functions in which the denominator does not equal zero.
Given that,
An incomplete statement is given we have to determine what best suit the blank space given in the statement.
A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.
Here,
A function that can be expressed as the quotient of two polynomial functions in which the denominator does not equal zero is called a rational function.
Thus, the blanked statement is the definition of the rational function
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A table contains the ordered pairs (3, 42.25) and (5, 50.75). If the relationship in the table is linear, explain how to find the initial value.
Answer:The initial value is the beginning output value, or the y-value when x = 0. The rate of change is how fast the output changes relative to the input, or, on a graph, how fast y changes relative to x. You can use initial value and rate of change to figure out all kinds of information about functions.
Because the inputs go by 2, the rate of change is half the difference of the outputs, or 4.25.
Subtract 4.25 repeatedly 3 times to get to an output with an input of 0.
Calculate 42.25 – (3 x 4.25).
The initial value is 29.50.
What is the sum of the infinite geometric series? Sigma-Summation Underscript n = 1 Overscript 3 EndScripts (1.3) (.8) Superscript n minus 1
Answer:
Sigma-Summation Underscript n = 1 Overscript 3 EndScripts (… ... Underscript n = 1 Overscript 3 EndScripts (1.3) (.8) Superscript n minus 1 ... To get the sum to infinity of the geometric series, we need to get its first term
Step-by-step explanation:
8x + 9y = 9 3x – 5y = 20 a. (3.36, –1.99) c. (0, –1.99) b. (–1.11, 2.79) d. (3.36, 2.79)
Answer:
x = 225/67 , y = -133/67 or decimal x≈3.3582 and y≈-1.9851, thus a. is the answer rounded.
Step-by-step explanation:
Solve the following system:
{8 x + 9 y = 9 | (equation 1)
3 x - 5 y = 20 | (equation 2)
Subtract 3/8 × (equation 1) from equation 2:
{8 x + 9 y = 9 | (equation 1)
0 x - (67 y)/8 = 133/8 | (equation 2)
Multiply equation 2 by 8:
{8 x + 9 y = 9 | (equation 1)
0 x - 67 y = 133 | (equation 2)
Divide equation 2 by -67:
{8 x + 9 y = 9 | (equation 1)
0 x+y = -133/67 | (equation 2)
Subtract 9 × (equation 2) from equation 1:
{8 x+0 y = 1800/67 | (equation 1)
0 x+y = -133/67 | (equation 2)
Divide equation 1 by 8:
{x+0 y = 225/67 | (equation 1)
0 x+y = -133/67 | (equation 2)
Collect results:
Answer: {x = 225/67 , y = -133/67
F(x) is a function
A.true
B.false
Answer:
false
Step-by-step explanation:
A function has a one to one correspondence. That means each input goes to one output. 12 goes to 2 different outputs so it is not a function
Answer:
false
Step-by-step explanation:
f(x) is not a function because an input can I have more than one output.
After plotting the data where x=area, and f(x)=the length of one side of the square, Sam determined the appropriate model to approximate the side of a square was *square root sign*x+2-1 Use the model Sam created to predict the side length of the square when the area is 14.
3
9
16
28
Answer:
3
Step-by-step explanation:
Plugging 14 into the given model equation, you get:
[tex]\sqrt{14+2}-1= \\\\\sqrt{16}-1=\\\\4-1=\\\\3[/tex]
Hope this helps!
Answer:
The answer is 3
Step-by-step explanation:
What is the slope of the line represented by the equation Y= 4/5x-3
Answer:
4/5
Step-by-step explanation:
y=mx+b where m is slope
Answer: 4/5
Step-by-step explanation:
Slope is denoted by m, hence the equation y = mx + b. In this equation, 4/5 is the slope
Which algebraic expression is a difference with two terms?
Answer:
B)
Step-by-step explanation:
6x - 9
Here, 6x is a term and -9 is another term
Garrett has a current checking account balance of $495. Over the next three days, he receives a direct deposit of $775.75 from his job, pays an annual online banking fee of $34, and makes purchases of $44.21 and $7.92. He then withdraws $80 from an ATM that charges a $2.50 usage fee. What is Garrett's account balance at the end of the 3-day period? Write your answer in numeric form, such as 1369.05.
Answer:
1102.42
Step-by-step explanation:
495 + 775.75=1270.75
1270.75 - 34=1236.75
1236.75 - 44.21=1192.54
1192.54 - 7.92=1184.62
1184.62 - 82.2=1102.42
Answer:$1102.12
Step-by-step explanation: You just add the $775.75 to the original $495 then from there you subtract the rest of the numbers from the total amount and you get $1102.12
You bought groceries last week. You used coupons and saved 25% on your grocery bill. You saved $8.80. How much was your bill before coupons?
Answer:
$35.2
Step-by-step explanation:
% saved = 25%
Money saved = $8.80
Let x be the bill before the coupon discount.
25/100 × x = 8.80
x = $35.2
the sum of two rational numbers will always be
The sum of two rational numbers will always be rational
[tex]\frac{a}{b} +\frac{c}{d} =\frac{ad+bc}{bd}[/tex], therefore it will always be rational
can someone help me??????
Answer:
25.2
Step-by-step explanation:
Volume of container: 2x3x5=30
0.84x30=25.2
If sec x = −13/5 and tan x < 0, then cos x =
Answer:csc(x
Step-by-step explanation:You welcome
Pleaseeeeee HELP!!! ASAP
Answer:
I think its D
From an upstairs window, I can see my neighbor's fence. The angle of depression is 7 degrees. If my window is 15 ft off the ground, how far is my neighbor's fence from my house? Round to the nearest whole number, do not include units. *
what property is 5(8+3)=5*8+5*3?
Answer:
distributive property
Step-by-step explanation:
5(8+3)=5*8+5*3
This is an example of the distributive property
The 5 is distributed to each of the terms inside the parentheses
A 39 foot ladder is resting against a wall that is 36 feet high. What is
the distance between the base of the ladder and the bottom of the wall?
5 feet
10 feet
15 feet
Answer:
11
Step-by-step explanation:
WHY CAN'T ANYONE HELP ME? 1. In Michigan, the sales tax rate is 6%. Suppose that an item costs $50.88 including tax. How can we use algebra to find the price of the item before tax was added? What is the price before tax? Note: Using x = the price before tax, write an equation, and show solving steps to find x. (SOLVE AND CHECK) ($47.83 WON'T BE THE CORRECT ANSWER)
Answer: $48
Step-by-step explanation:
From the question, we are told that in Michigan, the sales tax rate is 6% and that an item costs $50.88 including tax.
Let the cost of the item before tax be x. This means that x plus 6% of x equals to $50.88. This can be mathematically expressed as:
x + (6% of x) = $50.88
x + (6/100 × x) = $50.88
x + (0.06 × x) = $50.88
x + 0.06x = $50.88
1.06x = $50.88
When then divide by the coefficient of x
1.06x/1.06 = #50.88/1.06
x = $48
The price before the tax is $48
please help :))))))))
Answer:
Look at the attachment
There are 3 balls in a hat; one with the number 1 on it, one with the number 6 on it, and one with the number 7 on it. You
pick a ball from the hat at random and then you flip a coin. Using a tree diagram, obtain the sample space for the
experiment.
Question Progres
izzes
Answer:
coin: ball:
1
head -- 6
7
1
tail -- 6
7
The required Sample space = {(h, 1), ( h, 6) (h ,7 ), ( t, 1 ), ( t, 6 ), ( t, 7 )}.
Given that,
There are 3 balls in a hat; one with the number 1 on it, one with the number 6 on it, and one with the number 7 on it. You pick a ball from the hat at random and then you flip a coin. Using a tree diagram, To obtain the sample space.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
a coin has 2 sample space = {H , T}
H = head and T = tail
a hat with three balls has sample space {1, 6, 7}
Now, a ball picks from the hat at random and then flips a coin
Sample spaces
H T
----------------- ---------------
1 6 7 1 6 7
Implies
Sample space = {(h,1), (h,6) (h,7), (t,1), (t,6) (t,7)}
Thus, the required Sample space = {(h,1), (h,6) (h,7), (t,1), (t,6) (t,7)}.
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Which expressions are equivalent to the one below? Check all that apply.
log 2 - log 8
A. log(3)
B. log 4
Chloe. log(2) + log(3)
D. log 2
SUBMIT
Answer:
none is equivalent. all are wrong
A can contains 15/16 pounds of vegetables . one serving of these vegestables weights 3/16 . what is the total number of serving of vegetables in the can
Since both fractions have the same denominator, divide the numerators:
15/3 = 5
There are 5 servings.
i really need this plz plz will mark bianleast
Point S is translated left 8, down 4.
Which is the coordinate pair for the translated point S'?
(8, 4)
(4, –1)
(–8, –4)
(–4, –1)
Answer:
(–4, –1)
Step-by-step explanation:
Since, S is translated left 8 and down 4, therefore x and y coordinates would be - 4 and - 1 respectively.
Hence, the coordinate pair for the translated point S' are (–4, –1).
There are twice as many students in the cooking club as in the drama club. Suppose there are $a$ students in the drama club and $b$ students who are members of both clubs. Find an expression for the total number of students who are in the cooking club or the drama club but not both. Give your answer in simplest form.
Answer:
Total Students = 3a - 2b
Step-by-step explanation:
Given
Students in drama club = a
There are twice as many students in cooking club as in drama club;
So, Students in cooking club = 2a
Members of both clubs = b
Required
Expression for total students in cooking or drama club but not both;
To do this, number of students in individual clubs need to be calculated;
Let Students in drama club only be represented by D and Students in cooking club only be represented by C
So,
D = Students in drama club - Members of both clubs
D = a - b
Similarly,
C = Students in cooking club - Members of both clubs
C = 2a - b
So, total students in cooking or drama club but not both D + C
Total students = a - b + 2a - b
Collect like terms
Total Students = a + 2a - b - b
Total Students = 3a - 2b
Find the product of (x − 5)2. (1 point)
Answer:
x² - 10x + 25
Step-by-step explanation:
Given
(x - 5)² = (x - 5)(x - 5)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 5) - 5(x - 5) ← distribute both parenthesis
= x² - 5x - 5x + 25 ← collect like terms
= x² - 10x + 25
Pls help me it’s emergency plzz fast
Answer:
67.3%
Step-by-step explanation:
Calculate profit = selling price - cost price
cost price = 50 × $28 = $1400
38 × $49 = $1862
12 × $40 = $480
selling price = $1862 + $480 = $2342
Profit = $2342 - $1400 = $942
% profit = [tex]\frac{profit}{cost}[/tex] × 100%
= [tex]\frac{942}{1400}[/tex] × 100% ≈ 67.3% ( to 1 dec. place )
In the image below, m2OMN = (2x+9) and m2 LMN = (6x-7) and m2 OML = 66.
Find m ZOMN and m LMN
Answer:
m<OMN = 25
m<LMN = 41
Step-by-step explanation:
m<OMN = 2x + 9
m<LMN = 6x - 7
m<OML = 66
m<OMN + m<LMN = m<OML
2x + 9 + 6x - 7 = 66
8x + 2 = 66
8x = 64
x = 8
m<OMN = 2x + 9 = 2(8) + 9 = 16 + 9 = 25
m<LMN = 6x - 7 = 6(8) - 7 = 48 - 7 = 41
Answer:
m<OMN = 25
m<LMN = 41
A. 180
B.82
C. 46
D. 98
Please answer help me
Answer:
D
Step-by-step explanation:
Because the angle with measure 82 and angle 1 are corresponding angles, their angles measure must be equal, and therefore angle 1 has measure of 82 as well. Since angles 1 and 2 are a linear pair, they must be supplementary, and angle 2 is therefore 180-82=98 degrees. Hope this helps!
[tex]answer = 98 °\\ solution \\ < 1 = 82(being \: corresponding \: angless) \\ < 1 + < 2 = 180(sum \: of \: angle \: in \: straight \: line) \\ or \: 82 + < 2 = 180 \\ or < 2 = 180 - 82 \\ < 2 = 98° \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Which of the following are square roots of the number below? Check all that
apply.
576
A.) 24
B.) -576 1/2
C.) 12
D.) -24
E.) 48
F.) 576 1/2
Answer:
A and D
Step-by-step explanation:
576 ^ 1/2 = + or - 24
A key code must contain 4 numerals. There are 10 numerals available. Using
these numerals, how many different key codes may be created?
O A. 180
B. 210
O C. 3,060
O D. 5,040
Answer:
B, 210
Step-by-step explanation:
there is 10 options for the first one, 9 option for the second, 8 options for the third and 7 for the last. 10*9*8*7=5040, which is d
First number can be 1 out of 10
Second number can be 1 out of 9
Third number can be 1 out of 8
Fourth number can be 1 out of 7
Total combinations = 10 x 9 x 8 x 7 = 5,040
The answer is D. 5,040
The parent function is f(x) = 2^x-6 + 3 and the new function is g(x) = 2^x-3 + 2
How does the graph change fromf (x)tog(x)?
Select each correct answer.
The graph is shifted 3 units right.
The graph is shifted 1 unit up.
The graph is shifted 1 unit down.
The graph is shifted 3 units left.
Answer:
Options C and D.
Step-by-step explanation:
The given functions are
[tex]f(x)=2^{x-6}+3[/tex]
[tex]g(x)=2^{x-3}+2[/tex]
We need to find the transformation from f(x) to g(x).
Now, write the function g(x) in the form of f(x).
[tex]g(x)=2^{x+3-3-3}+2+1-1[/tex]
[tex]g(x)=[2^{(x+3)-6}+3]-1[/tex]
[tex]g(x)=f(x+3)-1[/tex] ...(1)
The translation is defined as
[tex]g(x)=f(x+a)+b[/tex] .... (2)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
From (1) and (2), we get
[tex]a=3>0[/tex], so graph shifts 3 units left.
[tex]b=-1<0[/tex], so graph shifts 1 unit down.
Therefore, the correct options are C and D.