Primeter=10 + 4 +10 +7 = 31 ft
Which of the following rational functions is graphed below
Answer:
A.
Step-by-step explanation:
if x≠-4, then the correct answer is
[tex]A. \ F(x)=\frac{1}{x+4}.[/tex]
Find the value of cos (2pie/3)
Answer:
-1/2 or - 0.5
Step-by-step explanation:
[tex]cos (\frac{2\pi }{3}) = cos 120^{o} = -\frac{1}{2}[/tex]
Y
5
What is the equation of the graphed line written in
standard form?
4
3
2
1
O 2x + 3y = -6
O 2x + 3y = 6
O y=-{x-2
O y=x-2
5-4-3-2 12
1 2 3 4 5
x
2
-3
The equation of the graphed line 2x + 3y = -6 written in standard form is,[tex]\rm y= -\frac{2}{3}x -2[/tex] and for line 2x + 3y = 6 will be,[tex]\rm y = \frac{-2}{3}x+2[/tex]
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
a) 2x + 3y = -6
The line in which the standard form is found as;
Ax + By + C = 0
The typical form of a slope intercept is
y = mx+c
where m denotes the slope and b the line's y-intercept.
[tex]3y= -6-2x\\\\ y=\frac{-6-2x}{3}\\\\ y= -\frac{2}{3}x -2[/tex]
To obtain the slope standard form, we rewrite. The obtained equation is in the form of the slope-intercept.
b) 2x + 3y = 6
The line in which the standard form is found as;
Ax + By + C = 0
The typical form of a slope intercept is
y = mx+c
where m denotes the slope and b the line's y-intercept.
[tex]\rm 3y= 6-2x \\\\ y= \frac{6-2x}{3} \\\\ y = \frac{-2}{3}x+2[/tex]
Hence, The equation of the graphed line 2x + 3y = -6 written in standard form is,[tex]\rm y= -\frac{2}{3}x -2[/tex]
To learn more, about equations, refer;
https://brainly.com/question/10413253
#SPJ1
What is the equation of the graphed line written in standard form?
2x + 3y = -6, 2x + 3y = 6
Summary:
a. The equation of the graphed line 2x + 3y = -6 written in standard form is y= -2/3 x -2.
b. The equation of the graphed line 2x + 3y = 6 written in standard form is y= -2/3 x +2.
Find slope and intercept of the line 3x - 2y - 7 = 0
The slope and intercept of the line 3x - 2y - 7 = 0 are -1.5 and -3.5 respectively
How to determine the slope and the intercept?The equation of the line is given as:
3x- 2y - 7 = 0
Add 7 to both sides
3x - 2y = 7
Subtract 3x from both sides
-2y = -3x + 7
Divide both sides by -2
y = -1.5x -3.5
A linear equation is represented as:
y = mx + c
Where m represents slope and c represents the intercept
By comparison;
m = -1.5 and c = -3.5
Hence, the slope and intercept of the line 3x - 2y - 7 = 0 are -1.5 and -3.5 respectively
Read more about linear equation at:
https://brainly.com/question/14323743
#SPJ1
Which graph represents f(x)= | x+3|
The graph of the function looks like V. And the vertex of the function will be at (-3, 0).
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The function is given below.
f(x) = |x + 3|
Then the graph of the function looks like V. And the vertex of the function will be at (-3, 0).
The graph of the function is given below.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ1
find the solution set. 7x^2-5x-2=0
Answer:
x
=
−
b
±
√
b
2
−
4
a
c
2
a
, we get that
x
=
−
2
,
0.6
Explanation:
Rearrange the equation so that it becomes:
5
x
2
+
7
x
−
6
=
0
The quadratic formula is:
x
=
−
b
±
√
b
2
−
4
a
c
2
a
In our equation above,
a
=
5
b
=
7
c
=
−
6
Plugging these values into the quadratic equation gives:
x
=
−
7
±
√
7
2
−
4
(
5
)
(
−
6
)
2
(
5
)
x
=
−
7
±
√
49
+
120
10
x
=
−
7
±
√
169
10
x
=
−
7
±
13
10
x
=
−
2
,
0.6
Please solve with explanation (high points)
Answer:
see the attachment photo!
Is this sequence arithmetic? Why or why not?
11, 11, 11, 11, 11
f(x)=x^5+(x+3)^2 which value completed the table
Answer:
three boys shared D 10,500.00 in the ratio 6:7:8.find the largest share.
I need help to find the coordinates
The ratio of black bags to blue bags is 5to 3 if there are a total of 10 black bags ,then how many blue bags are there
Answer:
6
Step-by-step explanation:
We can think of the 10 black bags as 2 sets of 5-black bags (10 divided into groups of 5; 10 / 5 ; is 2 groups/sets). So, we would also have two sets of 3 (3 x 2 = 6), or 6 bags.
5 : 3 = 10 : 6
(multiply both numbers by 2)
Silas is researching the cost of a specific souvenir he wants to buy on his international trip. Use the table to answer the question.
Answer:
Egypt.
Step-by-step explanation:
We need to set up our conversion factors for each currency.
British Pounds and Egyptian Pounds:
0.83 £ (Europe) = 1 U.S. Dollar
18 E£ (Egypt) = 1 U.S. Dollar
Cost of a Souvenir in Europe:
The cost of souvenir in Europe is 13£. Using our conversion rate, we get
[tex]13\pounds \cdot \frac{\$1}{0.83 \pounds}=\$15.66[/tex]
Cost of a Souvenir in Egypt:
The cost of a souvenir in Egypt is 342 E£. So we have
[tex]342 \text{ E}\pounds\cdot \frac{\$1}{18 \text{ E}\pounds}=\$19[/tex]
Based on our calculations, it is cheaper to buy a souvenir in Europe than in Egypt.
vertex of y = −2(x−4)2 + 3
and identify it as a minimum or a maximum.
An equation is formed of two equal expressions. The vertex of the equation y=-2(x-4)²+3 will lie at (4,3).
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
If we plot the graph of y=-2(x-4)²+3, then the vertex of the graph will lie at (4,3).
Hence, the vertex of the equation y=-2(x-4)²+3 will lie at (4,3).
Learn more about Equation:
https://brainly.com/question/2263981
#SPJ1
Factor out the GCF from the given polynomial.
14x-2
Answer:
2(7x-1)
Step-by-step explanation:
14 & 2 gcf 2 factor and wal lah!
Write an equation for a line perpendicular to y = − 4 x + 5 and passing through the point (-12,-4)
Answer:
[tex]y=\frac{1}{4} x-1.[/tex]
Step-by-step explanation:
1) if the lines are perpendicular, then the second slop is 0.25;
2) the equation of the 2d line is y=0.25x+i, where i - unknown intercept;
3) it is possible to calculate the unknown intercept, if to substitute the given coordinates into the equation y=0.25x+i:
-4=-12*0.25+i; ⇔ i=-1.
4) finally, the required equation is:
[tex]y=\frac{1}{4} x-1.[/tex]
Which equation can be used to solve for x in the following diagram.
Answer:
C. (3x+12) + x = 180
Step-by-step explanation:
the 2 angles create a straight line which is 180 degrees, so (3x+12) + x = 180
A) 16/12
B) 12/20
C) 12/16
D) 16/20
Answer:
COA opposite/ adjacent
16/12
A
The three dot plots together are the scores of teenagers in three samples from this population. Which of the three samples is most representative of the population? Explain how you know.
The sample that is most representative of the population is: sample 3.
What is a Representative Sample of a Population?A representative sample of a population can be defined as a subset of that particular population that reflects almost or same characteristics of the main population such as the shape, center, and spread.
From the three dot plots given, the one that has almost same pattern and characteristics is sample 3 considering it has almost similar spread and shape.
Thus, the most representative sample is: sample 3.
Learn more about the representative sample of a population on:
https://brainly.com/question/27829028
#SPJ1
three students measured the width of the whiteboard. Reggie got 2, Jackson got 72, and Pete got 6. The teacher said they were all correct. Draw lines to match each student with the unit he was using.
Answer:
2 yards ; 6 feet ; 72 inches ;
Step-by-step explanation:
2:6:72
1:3:12
1:3 is the ratio of Yards -> Feet
3:12 is the ratio of Feet -> Inch.
6ft = Pete
2 yards = Reggie
72 inches = Jackson
-- Gage Millar, Algebra 1/2 Tutor (Pending Pre-Calc Tutor)
In a school,The ratio of the number of boys to the number of girls is 8:5. One quarter of the boys and 1/15 of the girls wear glasses. When another 48 students who wear glasses join the school,the total number of students becomes 216. How many boys wore glasses at first?
Answer:
hi look here https://www.louisianabelieves.com/docs/default-source/assessment/grade-6-answer-key.pdf?sfvrsn=293b981f_2
Step-by-step explanation:
What is the directrix of the parabola defined by `(1)/(4)(y + 3) = (x − 2)^2`?
The directrix of the parabola is [tex]y = \frac {-49}{16}[/tex]
How to determine the equation of the directrix?The parabola equation is given as:
[tex]\frac 14(y + 3) = (x -2)^2[/tex]
A parabola is represented as:
[tex]4p(y - k) =(x -h)^2[/tex]
By comparing both equations, we have:
4p = 1/4 ==> p = 1/16
-k= 3 ==> k = -3
The directrix is represented as:
y = k - p
So, we have:
[tex]y = -3 - \frac 1{16}[/tex]
Take the LCM
[tex]y = \frac {-16 * 3- 1}{16}[/tex]
Evaluate
[tex]y = \frac {-49}{16}[/tex]
Hence, the directrix of the parabola is [tex]y = \frac {-49}{16}[/tex]
Read more about parabola at:
https://brainly.com/question/1480401
#SPJ1
which graph represents the linear function y=-5x+2
39. What is the value of x?
Answer:
x = 15
Step-by-step explanation:
the sum of the exterior angles of a polygon = 360°
sum the 5 exterior angles and equate to 360
5x + 3 + 4x + 8 + 5x + 5 + 6x - 1 + 3x = 360 , that is
23x + 15 = 360 ( subtract 15 from both sides )
23x = 345 ( divide both sides by 23 )
x = 15
Thandi has decided to make grocery combo’s for her shop. The wholesaler where she buys from, sells sugar in packets of 20 in a carton, flour in packets of 12 a carton, and there are 15 bags of rice in a carton. How many of each item should she buy so there are an equal number of packets of sugar, packets of flour and bags of rice in each combo?
Answer:
3 cartons of sugar 5 cartons of flour and 4 cartons of rice
Step-by-step explanation:
First find the least common factor being 60 then divide by the number of packets each carton comes with to find how many cartons you need of each
Given a polynomial function f(x) = –x2 + 2x + 1 and an exponential function g(x) = 2x, what key features do f(x) and g(x) have in common?
A.)Both f(x) and g(x) decrease over the interval of [1 , ∞).
B.) Both f(x) and g(x) have the same range of (–∞, 2).
C.) Both f(x) and g(x) have the same x-intercept of (–1, 0).
D.)Both f(x) and g(x) have the same y-intercept of (0, 1).
The only key feature that these functions have in common is that they have the same y-intercept. So the correct option is D.
What do these functions have in common?
Here we have the functions:
[tex]f(x) = -x^2 + 2x + 1\\\\g(x) = 2^x[/tex]
f(x) is quadratic, and g(x) is exponential.
Notice that the exponential function has a positive base, so it is increasing. For the quadratic equation we can see a negative leading coefficient, so it opens downwards. So first and second options are false.
Also, g(x) never intersects the x-axis, so third option is false.
Finally, the y-intercepts of the given functions are:
[tex]f(0) = -0^2 + 2*0 + 1 = 1\\\\g(0) = 2^0 = 1[/tex]
So the y-intercepts are equal, meaning that the correct option is D.
If you want to learn more about y-intercepts:
https://brainly.com/question/24363347
#SPJ1
Answer:
Both f(x) and g(x) have the same y-intercept of (0, 1).
Step-by-step explanation:
I got it right on the test.
Dean Field is a bookkeeper for a retail shop. He is super excited about his upcoming two-week vacation to Hawaii. His flight leaves to Honolulu at 7pm on Friday. At 4:45pm on Friday he realizes the company’s trial balance is a mess and it does not balance. He places random numbers in the General Ledger system to make it balance and leaves the office to catch his flight. He knows he can correct the situation when he returns from his vacation. What are your thoughts about this case?
The fact that Dean Field places random numbers in the general ledger system to make it balance and leaves the office to catch his flight is wrong.
What is a ledger?It should be noted that a ledger simply means a record of the balance of each of the accounts of a business.
In this case, when he realizes the company’s trial balance is a mess and it does not balance, he should have waited and ensured that he re calculated it and made it balance.
Learn more about ledgers on:
brainly.com/question/1436327
#SPJ1
Solve 10x + 16 2 6x + 20.
A. x29
B. x=9
c. x=1
D. x21
An equation is formed of two equal expressions. The value of x for which the equation has a solution is 1.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution for 10x+16=6x+20 is,
10x + 16 = 6x + 20
10x - 6x = 20 - 16
4x = 4
x = 1
Hence, the value of x for which the equation has a solution is 1.
Learn more about Equation:
https://brainly.com/question/2263981
#SPJ1
Twenty-five bakery customers were surveyed to determine if they like cake or pie. The results are shown in the Venn diagram.
Circle C and P overlap. Circle C contains 10, circle P contains 8, and the intersection contains 4. Number 3 is outside of the circles.
Given that a randomly chosen customer likes cake, what is the probability that the customer also likes pie?
The probability that a customer likes cake and pie is 0.16.
What is the probability?Probability is used to determine the odd that a random event would happen. The odds that the event happens usually lie between 0 and 1.
The probability that a customer likes cake and pie = total number of customers who like cake and pie / total number of customers
4/25 = 0.16
To learn more about probability, please check: https://brainly.com/question/13234031
#SPJ1
translate the question into an equation. Do not solve. Let n be the unknown number. what is 1% of 77?
Answer:
1% × 77 = n
I used multiplication since "of" counts as multiplication.
What is the value of
(1/8)^-1/3
PLEASE I NEED THE AWNSER QUICK PLEASE AND TY
Answer:
2.66666666667
Step-by-step explanation:
(1/8)^-1/3 means 1/8 to the -1/3 power, which equals 2.66666666667. So the answer is 2.66666666667.