The equation that represents the total cost as a function of the number (in hundreds) of posters ordered, x is f(y) = 109.95 + 65x
let
y = total cost
x = numbers in hundreds
cost of first hundred = $109.95
Cost of additional hundred = $65
f(y) = 109.95 + 65x
The total cost of 1000 posters
1000 - first hundred = 900
additional hundreds = 900/100
= 9
So,
f(y) = 109.95 + 65x
= 109.95 + 65(9)
= 109.95 + 585
= 694.95
f(y) = $694.95
Therefore, the total cost of 1000 posters is f(y) = $694.95
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A carpenter is framing an opening in a wall to hang a rectangular door. Which properties must the door frame have to ensure that the door hangs properly?
1a) The top and bottom are parallel.
2b) The top and right side form a right angle.
4c) The left side and right side are parallel.
5d) The left side and bottom form a right angle.
- Are the lines y = -1 and x = 1 parallel?
Answer:
No the lines are perpendicular.
Step-by-step explanation:
The lines are perpendicular because x and y meet up and make a perpendicular line. If you don't believe me plug it in a graphing calculator.
Emma pays 10$ to join a gym. For the first 5 months she pays a monthly 15$ membership fee. For problems 6-7 use the explicit rule f(n)=15n+10
6. Complete the table, then use the table to create ordered pairs.
7. Graph the sequence using the ordered pairs.
Answer: For the first 5 months she pays a monthly$15 membership fee. Use the explicit rule f(n) = 15n + 10
Step-by-step explanation:
The table of the ordered pairs and the graph is plotted.
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have Emma who pays $10 to join a gym. For the first 5 months she pays a monthly $15 membership fee. The explicit rule that represents the situation above is f(n) = 15n+10.
We have the function as -
f(n) = 15n+10.
We can create a table as follows -
[n] f[n]
1 25
2 40
3 55
4 70
5 85
Refer to the graph of the function f(n) = 15n+10 attached.
Therefore, the table of the ordered pairs and the graph is plotted.
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which function describes the arithmetic sequence shown -5,-7,-9,-11,-13
Answer:
[tex]n(x)=x-2[/tex]
Step-by-step explanation:
You can notice that between each of the arithmetic sequence there is a addition of 2. So we know that to add a 2 to get the next value. We can write it as n(x) where n is a function where x is the number:
n is the function and x repersent the number which is givenWe can write this function as: [tex]n(x)=x-2[/tex]So if we input x = -5 we will get -7. If we input -11 we get -13.
mathmatic equation
solve y:
7=4(3y-3)
Answer:
y=1.58
Step-by-step explanation:
7=4(3y-3)
Simplify the distributive property.
7=12y-12
Add 12 to both sides.
19=12y
Divide 12 on both sides.
1.58=y
-hope it helps
WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!
ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!
[please put in correct order]
Answer:
It the W or the orange point
If someone is traveling 3mi per 15 mins how far do they go in 1min?
Answer:
0.2 mi
Step-by-step explanation:
3 mi for 15 min
so divide 3 mi by 15 min = 0.2
Can you help? Please show work. Thank You.
Answer:
C. x+y=5; -2x+y=2
Step-by-step explanation:
The slope of the line in Table A is ...
m = (y2 -y1)/(x2 -x1)
m = (-6 -(-4))/(11 -9) = -2/2 = -1
The slope of the line in Table B is ...
m = (-8 -20)/(-5 -9) = -28/-14 = 2
We observe that the slopes have different signs. This means the signs of the terms in the standard form equation will be different from one equation to the other. The only pair of equations for which that is true is the pair in choice C.
Trying these equations on the first line of the tables, we see they match the table values.
Table A: 9 +(-4) = 5 . . . true
Table B: -2(9) +20 = 2 . . . true
_____
Additional comment
Neither equation in choice A has the correct slope for either table. The equations in choice B are inconsistent, both having slope -1, but different y-intercepts.
Need help now pls on HS geometry
Answer:
b
Step-by-step explanation:
RT is a perpendicular bisector of QS , then
Δ QRS is isosceles with 2 congruent legs , that is
QR = SR
7x - 22 = 4x + 5 ( subtract 4x from both sides )
3x - 22 = 5 ( add 22 to both sides )
3x = 27 ( divide both sides by 3 )
x = 9
Then
RS = 4x + 5 = 4(9) + 5 = 36 + 5 = 41
2/5% as a fraction
Pld
Hey there!
2/5%
= 2/5
= 2 ÷ 5
= 0.40
= 0.40 × 100
= 40%
Therefore, your answer is: 40%
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Mr. Ivey teaches dance at the middle school. His classes are 90 minutes long, and he spend 94% of class time teaching strength and conditioning. How many minutes do Mr. Ivey’s students spend on strength and conditioning in each class? | please give me the answer in a step by step explanation|
Answer: 84.6
Step-by-step explanation: Based on the given conditions, formulate: 90 x 94%
Calculate the product or quotient: 84.6
get the result: 84.6
Hopefully that helps you! :)
find mLABC
is from Big Ideas
Answer: 50
Step-by-step explanation: add DBC and ABD to get 50 ABC is 50
find x,y,z : 4x^2+2y^2+2z^2-4xy-4xz+2yz-2y+6z+10=0
I hope this helps.
Answer:-
∴x−3y−4z=0
Explanation:
First we rearrange the equation of the surface into the form f(x,y,z)=0
x2+2z2=y2
∴x2−y2+2z2=0
And so we have our function:
f(x,y,z)=x2−y2+2z2
In order to find the normal at any particular point in vector space we use the Del, or gradient operator:
∇f(x,y,z)=∂f∂xˆi+∂f∂yˆj+∂f∂zˆk
remember when partially differentiating that we differentiate wrt the variable in question whilst treating the other variables as constant. And so:
∇f=(∂∂x(x2−y2+2z2))ˆi+
(∂∂y(x2−y2+2z2))ˆj+
(∂∂z(x2−y2+2z2))ˆk
=2xˆi−2yˆj+4zˆk
So for the particular point (1,3,−2) the normal vector to the surface is given by:
∇f(1,3,−2)=2ˆi−6ˆj−8ˆk
So the tangent plane to the surface x2+2z2=y2 has this normal vector and it also passes though the point (1,3,−2). It will therefore have a vector equation of the form:
→r⋅→n=→a⋅→n
Where →r=⎛⎜⎝xyz⎞⎟⎠; →n=⎛⎜⎝2−6−8⎞⎟⎠, is the normal vector and a is any point in the plane
Hence, the tangent plane equation is:
⎛⎜⎝xyz⎞⎟⎠⋅⎛⎜⎝2−6−8⎞⎟⎠=⎛⎜⎝13−2⎞⎟⎠⋅⎛⎜⎝2−6−8⎞⎟⎠
∴(x)(2)+(y)(−6)+(z)(−2)=(1)(2)+(3)(−6)+(−2)(−8)
∴2x−6y−8z=2−18+16
∴2x−6y−8z=0
∴x−3y−4z=0
What are the slope and y-intercept of this function?
[tex]\huge \rm༆ Answer ༄[/tex]
The Correct choice is D
Consider two points (0 , 3) and (2 , -1), now let's find the slope ~
[tex] \sf{ \dfrac{y2 - y1}{x2 - x1} }[/tex][tex] \sf \dfrac{3 - ( - 1)}{0 - 2} [/tex][tex] \sf \dfrac{4}{ - 2} [/tex][tex] \sf - 2[/tex]And as about y - intercept, the point having x - coordinate equal to zero is its y - intercept.
that is ~
[tex] \sf(0 ,3)[/tex]Which situation could this graph represent?
a. speed of a car starting from a stop sign and then approaching a stoplight
b. riding your bike slowly up a steep hill and then quickly down the other side
c. total rainfall during a rainy day
d. temperature as the weather changes from rainy to snowy
Answer:
A because the other answer choices are not associated with what is in the graph
Simplify using combining like terms: 3a + 6 + 2a - 8
Answer:
a = 2
Step-by-step explanation:
Simplifying
3a + 6 = 2a + 8
Reorder the terms:
6 + 3a = 2a + 8
Reorder the terms:
6 + 3a = 8 + 2a
Solving
6 + 3a = 8 + 2a
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-2a' to each side of the equation.
6 + 3a + -2a = 8 + 2a + -2a
Combine like terms: 3a + -2a = 1a
6 + 1a = 8 + 2a + -2a
Combine like terms: 2a + -2a = 0
6 + 1a = 8 + 0
6 + 1a = 8
Add '-6' to each side of the equation.
6 + -6 + 1a = 8 + -6
Combine like terms: 6 + -6 = 0
0 + 1a = 8 + -6
1a = 8 + -6
Combine like terms: 8 + -6 = 2
1a = 2
Divide each side by '1'.
a = 2
Hello can some one please help me
if a line has slope -2/3 and passes through point (-3,7) what is the y intercept
Answer: The y-intercept is 5.
Step-by-step explanation:
We can write what we know in the form of a slope intercept equation,
y=mx + b,
where m is the slope and b the y-intercept (the value of y when x=0).
We are given the slope:
y = -(2/3)x + b
We need a value of b that forces the line through the point (-3,7). Enter the point and solve for b:
y = -(2/3)x + b
7 = -(2/3)*(-3) + b for (-3,7)
7 = 2 + b
b = 5
The equation becomes y = -(2/3)x + 5
The y-intercept is 5.
See attachment.
what is the sum 1,826+2,149+1,023
Answer:
4998
Step-by-step explanation:
1000+2000+1000 = 4000
800+100 = 900
20+40+20 = 80
6+9+3 = 18
4000+900+80+18 = 4998
Hope that helps!
The cafeteria made 19 mushroom pizzas and 57 pepperoni pizzas.What percentage of the pizzas were mushroom?
Answer:
the answer is 14.04
...............
25 % of pizzas were mushroom pizzas.
What is percentage?Percentage is a measurement to find value of given number out of hundred.
Given that,
Number of mushroom pizzas = 19,
And number of pepperoni pizzas = 57.
Total number of pizzas = 19 + 57 = 76.
To find the number of percentage of pizzas of mushroom,
Use percentage property,
= (Number of mushroom pizzas / total pizzas) x 100
= (19 / 76) x 100
= 100/ 4
= 25 %
The required percentage of mushroom pizzas = 25 %.
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Find the zeros of this polynomial:
p(x)= (x²+4x+3)(x²-4)
====================================================
Explanation:
Set each factor equal to zero and solve for x. I'm using the zero product property which says A*B = 0 leads to either A = 0 or B = 0.
Let's apply that idea to the first factor.
x^2+4x+3 = 0
(x+1)(x+3) = 0
x+1 = 0 or x+3 = 0
x = -1 or x = -3 are two roots
-------------
Do the same for the other factor as well.
x^2 - 4 = 0
(x-2)(x+2) = 0 .... difference of squares rule
x-2 = 0 or x+2 = 0
x = 2 or x = -2 are another two roots
--------------
In total, the four roots are:
x = -3x = -2x = -1x = 2Side note: The term "root" is the same as the zeros of a polynomial. Visually, this corresponds to the x intercepts. Plugging any of those four items into p(x) will lead to p(x) = 0.
Find the area of a rectangle & triangle! NEED HELP ASAP
Answer:
For rectangle: A=wl
Step-by-step explanation:
Multiply the length by the with to find the answer
I NEED HELP ASAP
Write the equation of the line in fully simplified slope-intercept form.
Answer: [tex]y = \frac{4}{5}x + 4[/tex], if this helped you please give Brainliest
Step-by-step explanation:
Write ratios in the form 1:n or n:1 6 : 14
Answer:
3/7 : 1 OR 1 : 7/3
Step-by-step explanation:
You can set up ratios as a fraction and solve for the missing piece. See images.
Answer:
1 : 2.33 aka 1: 2 1/3
Step-by-step explanation:
1) 6 : 14
2) divide both sides by 6
6/6=1
14/6=2 1/3
3) 1 : 2 1/3
Nine out of ten students prefer math class over lunch. How many students do not prefer math if 200 students were asked
Answer:
i think probably 20
Step-by-step explanation:
if 200 students, students do not prefer math 10/100 × 200 = 20
I didn't pay attention today
Answer:
because you was busy and nor interested in paying attention.
I need help with this. 2 to the 6 power, +2 to the 3 power, raised to the 3 power. Please tell me the steps you took to get the answer. and happy. Christmas Eve
Answer: 576
Step-by-step explanation:
(I just know the powers of smaller numbers by memory so...)
2^6(2x2x2x2x2x2) = 64
You can simplify the second part( 2^3^3) by just multiplying the powers, 3x3 = 9 and 2^9 = 512
Final answer = 512 + 64 = 576
[tex]\\ \sf\Rrightarrow 2^6+(2^3)^3[/tex]
[tex]\\ \sf\Rrightarrow 2^6+2^9[/tex]
[tex]\\ \sf\Rrightarrow 64+512[/tex]
[tex]\\ \sf\Rrightarrow 576[/tex]
Option A is correct
(3x-16) = (6x+7) = (11y-32)
Answer:
11y = -32
Step-by-step explanation:
46 degrees and x
X =
Answer:
136° that's 90 plus 46.........
Answer:
x = 136°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of the triangle , then
x = 90° + 46° = 136°
write the ratio as a fraction in simple form 14 boxes:8 boxes