Answer:
Equation of y in terms of x is: [tex]y = \frac{7}{4}x[/tex]
Step-by-step explanation:
Proportion means that the change in one quantity causes change in other quantity.
Given that A proportional relationship exists between x and y.
It can be expressed mathematically as:
y ∝ x
When the proportionality symbol is removed, constant of proportionality is introduced which is usually denoted as k
[tex]y = kx[/tex]
Given that y=14 when x=8
Putting in equation
[tex]14 = k * 8\\k =\frac{14}{8}\\k = \frac{7}{4}[/tex]
Putting the value of k in equation
[tex]y = \frac{7}{4}x[/tex]
Hence,
Equation of y in terms of x is: [tex]y = \frac{7}{4}x[/tex]
A line passes through the points (4, 3) and (- 2, 1) . The slope of this line in simplest form is
Answer:
[tex]m=\frac{1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (4, 3)
Point (-2, 1)
Step 2: Find slope m
Substitute: [tex]m=\frac{1-3}{-2-4}[/tex]Subtract: [tex]m=\frac{-2}{-6}[/tex]Simplify: [tex]m=\frac{1}{3}[/tex]Answer:
1, 1/2 2, 4/3
Step-by-step explanation:
If we graph each points. Slope = rise/run
1. U would go 1 up and go 2 to the right. Which equals 1/2 so it’s simplified
2. U would go 4 to the right side and 3 down. Which equals 4/3 u can put it in a decimal if u want or keep it 3/4 it’s fine.
Percy planted 4 tomatoes plants the first week of spring. He planted 11 tomato plants the second week of spring. What is the percent increase in the number of plants Percy planted?
Answer:
[tex]\%\ Increase = 175 \%[/tex]
Step-by-step explanation:
Given
[tex]Initial = 4[/tex]
[tex]New = 11[/tex]
Required
Determine the percentage increase
This is calculated using the following formula:
[tex]\%\ Increase = \frac{|New - Initial|}{Initial} * 100\%[/tex]
[tex]\%\ Increase = \frac{|11 - 4|}{4} * 100\%[/tex]
[tex]\%\ Increase = \frac{|7|}{4} * 100\%[/tex]
[tex]\%\ Increase = \frac{7}{4} * 100\%[/tex]
[tex]\%\ Increase = 1.75 * 100\%[/tex]
[tex]\%\ Increase = 175 \%[/tex]
Find the value of the missing angle
Answer:
130 degrees.... I am pretty sure
Cus angles of a triangle add to 180 and so the inside angle is 130 and they are vertical angles so they are the same right? right?
Step-by-step explanation:
Answer:
130 degrees
Step-by-step explanation:
I first came up with the equation 30+20+?=180 (I got 180 because every angle in a triangle added up is 180), then added the 30 and 20 to get 50+?=180. I subtracted 50 from both sides and got ?=130. I know that the angle on the inside and the outside are equal because it seems like a reflection, so if the inside angle is 130 the outside angle is 130 degrees too.
Hope this helps you :)
The amount of money that Jacob earns based on the number of hours he works is shown in the table. Find the constant of proportionality.
Answer:
Y=7.5x
Step-by-step explanation:
8-5=3 and 60-37.5 is 22.5 divide 22.5 by 3 and you get 7.5 which is the rate that he earns an hour
A baseball player got 61 hits one season. He got h of the hits in one game. What expression represents the number of hits he got in the rest of the games? The player had nothing hits in the rest of the games.
Answer:
[tex](61-h)[/tex]
Step-by-step explanation:
Total number of hits by baseball player in one season = 61
Number of hits in one game = [tex]h[/tex]
To find:
The expression to represent the number of hits that the player got in the rest of the games = ?
Solution:
Number of hits that the player got in one game = [tex]h[/tex]
Let the number of hits that the player got in rest of the games = [tex]x[/tex]
As per the given question statement,
The sum of [tex]h[/tex] and [tex]x[/tex] will be equal to 61.
[tex]h+x=61\\\Rightarrow \bold{x =61-h}[/tex]
Therefore, the player had [tex](61-h)[/tex] hits in the rest of the games.
A softball team is ordering pizza to after the tournament they plan to order a cheese pizza that cost eight dollars each and pepperoni pizza cost $12 each the odyssey pizzas and P pepperoni pizzas which expression represents the
A softball team is ordering pizza to after the tournament they plan to order a cheese pizza(c) that cost eight dollars each and pepperoni pizza(P) cost $12 each gotten from the odyssey pizzas.
Which expression represents the total cost of all of the pizzas they order?
Answer:
t = 8c + 12P
Step-by-step explanation:
We are told that cheese pizza(c) costs eight dollars.
This means for c number of cheese pizzas, cost is $8c
Also, we are told that cost of pepperoni pizza is $12 each.
So, for P number of pepperoni pizzas, the cost is $12P
Therefore expression of total cost(t) will be the sum of the cost of c number of cheese pizzas and P number of pepperoni pizzas.
Thus;
t = 8c + 12P
5.
For each equation, determine if x = 2 is a solution. Explain or show your reasoning.
a.
-2(x – 4) = 4
b.
26
= 13
C.
-3.8x = -7.4
4(x - 1) – 3(x - 2) = -8
d.
x=2 is a solution of equations -2(x – 4) = 4 and 26/x=13
What is Equation?Two or more expressions with an Equal sign is called as Equation.
-2(x-4)=4
-2(2-4)=4
4=4
Hence, x=2 is the solution
26/x=13
Now x=2
26/2=13
13=13
Hence, x=2 is the solution
-3.8x=-7.4
Now x=2
-3.8×2=-7.4
-7.6=-7.4
x=2 is not a solution of -3.8×2=-7.4
4(x - 1) – 3(x - 2) = -8
4(2-1)-3(2-2)=-8
4=-8
x=2 is not a solution of -3.8×2=-7.4
Hence, x=2 is a solution of equations -2(x – 4) = 4 and 26/x=13
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Z-5=8 what is the answer
Answer:
z = 13
hope it helps ;))
Please help me I don’t understand $!!!!!
9514 1404 393
Answer:
a) f: all real numbers except 1 and 2; g: all real numbers except 2
b) f(x) = 5/(x -2) . . . . x = 2 is a vertical asymptote
c) f(x) = -5/4, -5/3, -5/2, undefined, undefined, 5, 5/2
g(x) = -5/4, -5/3, -5/2, -5, undefined, 5, 5/2
d) f(x) is also undefined at x=1
Step-by-step explanation:
a) Any question about the domain of a function concerns the values of the variable for which the function is defined, or not. A rational function, such as these, will be undefined when its denominator is zero. So the question of domain becomes a question of the values of x that make the denominator zero.
The zeros of the denominator of f(x) can be found by factoring it.
x^2 -3x +2 = (x -1)(x -2)
These factors are zero when x=1 and when x=2. Hence, these values are excluded from the domain of f(x).
domain of f(x): all real numbers except x=1 and x=2
Then, by inspection, the domain of g is similar, but a little different:
domain of g(x): all real numbers except x=2
__
b) Based on our work for part (a), we find that f(x) can be factored and simplified like this.
[tex]f(x)=\dfrac{5x-5}{x^2-3x+2}=\dfrac{5(x-1)}{(x-1)(x-2)}\\\\\boxed{f(x)=\dfrac{5}{x-2}\quad x\ne1}[/tex]
There will be a vertical asymptote at x=2. The attachment shows a graph of f(x) with its vertical asymptote.*
__
c) The difference between the two functions is that f(x) is undefined at x=1.
x = -2, -1, 0, 1, 2, 3, 4
f(x) = -5/4, -5/3, -5/2, undef, undef, 5, 5/2
g(x) = -5/4, -5/3, -5/2, -5, undef, 5, 5/2
__
d) The functions differ in that f(x) is undefined at x=1, whereas g(x) is not.
_____
* The fact that f(x) is undefined at x=1, but there is no vertical asymptote at that point, means the function has a "hole" in its graph there. This is illustrated on the graph by an open circle, meaning the function is not defined at that point.
The focus of a parabola is [tex](0, 2)[/tex], and its directrix is the vertical line [tex]x=-6[/tex]. Identify the axis of symmetry, the vertex, and the direction the parabola opens.
Answer:
[tex]\huge\boxed{\text{Axis of Symmetry: } y = 2}[/tex]
[tex]\huge\boxed{\text{Vertex: } (-3, 2)}[/tex]
The parabola opens to the right (horizontally)Step-by-step explanation:
We need to note a few basic rules about focuses and directrix’s of a parabola.
1. The directrix never touches the parabola, however it is perpendicular to the axis of symmetry
2. The focus never touches the parabola, however it lies on the axis of symmetry of the parabola
3. The directrix is always the same distance away from the vertex as the focus
If we know that the focus of the parabola is (0, 2) and the directrix lies on x=-6. that means these points are 6 units apart as we can assume the line x = -6 crosses the point (-6, 2), making these points 6 units apart (since |-6 - 0| = 6)
These are 6 points apart horizontally, via the x-axis, meaning that this is a horizontally facing parabola, and it opens to the right. We know it can’t open to the left because then the directrix (x = -6) would touch the parabola and then it wouldn’t be a directrix!
The vertex of the parabola will be the same distance away from the focus and the directrix. Since these are 6 units apart, that means the focus will lie [tex]6 \div 2 = 3[/tex] units away from either one.
Halfway between 0 and -6 is -3, so we know the vertex lies on x-coordinate -3. We also know that the focus is on y-value 2, meaning that the vertex will also be on y = 2, since the focus is always on the axis of symmetry.
So our vertex is at [tex](-3, 2)[/tex].
We know that this is a horizontally facing parabola, meaning that our axis of symmetry is going to lay on a y coordinate. The axis of symmetry always contains the vertex, so that means that we can just take the y value of the vertex and use that as the axis of symmetry. The vertex lies at y value 2, meaning that the axis of symmetry is [tex]y=2[/tex]
In conclusion
The vertex is at [tex](-3, 2)[/tex] The axis of symmetry is at [tex]y=2[/tex] The parabola opens to the right (horizontally)Hope this helped!
What is the coefficient of the last term in the binomial expansion of (x + 1)9?
Answer:
1 is the coefficient of the last term in the binomial expansion
3. It takes 200 lb of sugar cane to produce 5 lb
of refined sugar. How many pounds of sugar
cane does it take to produce 200 lb of refined
sugar?
A. 2,500 lb
B. 7,500 lb
C. 7,700 lb
D. 8,000 lb
8000 pounds is required to produce 200 lb of refined sugar
How to calculate the amount of pounds that is required to produce 200 lb of refined sugar?
It takes 200 lb of sugar cane to produce 5 lb of refined sugar
For 1 lb of sugar cane, the number of refined sugar that will be produced is
200= 5
x= 1
cross multiply
5x= 200
x= 200/5
x= 40
The number of pounds of sugar cane required to produce 200 lb of refined sugar is
= 40 × 200
= 8,000
Hence 8000 pounds of sugar cane is required to produce 200 lb of refined sugars
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The function g(x) = |x – 6| – 8 is graphed. What is the range? {y | y > –8} {y | y ≥ –8} {y | y < –8} {y | y is all real numbers}
Answer:
The answer is B {y | y ≥ –8}
Step-by-step explanation:
I just did it
Answer:
(B) {y | y ≥ –8}
Step-by-step explanation:
On a coordinate plane, an absolute value graph has a vertex at (6, negative 8).
The function g(x) = |x – 6| – 8 is graphed. What is the range?
{y | y > –8}
{y | y ≥ –8}
{y | y < –8}
{y | y is all real numbers}
A block of wood has a volume of 40 cm°, a length of 4 cm, a width of 5 cm. What is the helght of the wood?
49 cm
20 cm
O2 cm
60 cm
I will give brailiest to whoever needs it!
Answer:
me please
Step-by-step explanation:
Answer:
idc if i get it
Step-by-step explanation:
Susan makes a purchase of $175 and is charged 7.75% for sales tax. What is the total cost of the purchase if Susan charges it on a credit card with a daily interest rate of 0.039% and pays the balance off at the end of 30 days? a. $176.17 b. $186.70 c. $190.77 d. $200.26
Answer:
C. 190.77
Step-by-step explanation: edge 2022
The required, total cost of the purchase is $190.77. Option C is correct.
What is the percentage?The percentage is the ratio of the composition of value to the overall composition of value multiplied by 100.
Here,
To calculate the total cost of the purchase, we first need to calculate the amount of sales tax and add it to the original price.
Sales tax = 7.75% of $175 = 0.0775 x $175 = $13.56
Total cost of purchase = $175 + $13.56 = $188.56
If Susan charges the purchase to her credit card and pays it off after 30 days, she will be charged interest on the outstanding balance for those 30 days. The interest rate is 0.039% per day, which is equivalent to 1.17% per month (0.039% x 30).
The interest charged on the outstanding balance after 30 days will be:
Interest = $188.56 x 1.17% = $2.20
Therefore, the total cost of the purchase, including sales tax and credit card interest, will be,
Total cost = $188.56 + $2.20 = $190.76
Therefore, the total cost of the purchase is $190.77.
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an equation of the line with a slope of 2 and y-intercept of 9
Answer:
y = 2x + 9
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 2
y-intercept b = 9
Step 2: Write linear equation
Slope-Intercept Form: y = 2x + 9
Robert says he needs 250 plastic sleevs for his basball card collection.He has 3084 baseball cards.Each sleev holds 12 cards do you agree whith robert
Answer:
No
Step-by-step explanation:
Given that:
Plastic sleeves needed = 250
Number of baseball cards = 3084
Sleeves held per card = 12
To determine the number of sleeves needed ;
Number of baseball cards / number of sleeves per card
= 3084 / 12
= 257
No, I do not agree with Roberts, from the calculation above, the number of plastic sleeves needed is 257
3/8 = 15/x x=?
x/5 = 12/15 x=?
21/28 = 30/x x=?
75/45 = x/21 x=?
5/6 = 8/x x=?
Answer:
a) x=40
b) x=3
c) x=40
d) x=35
e) x=9.6
Step-by-step explanation:
1. Cross multiply.
2. Divide.
7th grade math, I will give brainliest to right answer!
t/4 = 1
what is the value of t?
Answer:
t = 4
Step-by-step explanation:
Anything divided by itself is 1
PLEASE HELP!!
What is the value of b in the equation below?
g-3.9-2- a^b
O -10
O -6
09
O 16
p
Answer:
-10
Step-by-step explanation:
So its A :}
A line passes through the points (-5, 2) and (10,-1). Which is the equation of the line?
o y=-3x+1
O y-zx=3
O y = -5x – 23
O y = 5x + 27
HURRY
A landlord owns 3 condominiums, a l-bedroom condo, a 2-bedroom condo, and a 3-
bedroom condo. The total rent she receives is $1240. She needs to make repairs on the
condos, and it costs 10% of the 1-bedroom condo's rent for its repairs, 20% of the 2-
bedroom for its repairs, and 30% of the 3-bedroom condo's rent for its repairs. The total
repair bill was $276. The 3-bedroom condo's rent is twice the 1-bedroom condo's rent.
How much is the rent for all three condos? Define your variables then write and solve a
system of equations.
Answer:
1 bedroom = $280
2 bedroom = $400
3 bedroom = $560
Step-by-step explanation:
Given that :
Total rent received = 1240
Rent amount of 3 bedroom = 2 times rent of 1 bedroom
Let 1 bedroom = x
2 bedroom = y
3 bedroom = 2x
x + y + 2x = 1240
3x + y = 1240 ---(1)
Repair cost :
10% of x = 0.1x
20% of y = 0.2y
30% of 2x = 0.6x
0.1x + 0.2y + 0.6x = 276
0.7x + 0.2y = 276 - - - (2)
From (1)
y = 1240 - 3x
0.7x + 0.2(1240 - 3x) = 276
0.7x + 248 - 0.6x = 276
0.1x + 248 = 276
0.1x = 28
x = $280
1 bedroom = $280
3 bedroom = $280 * 2 = $560
2 bedroom = $1240 - $840 = $400
PLz answer this Question
Find the value of x and y.
Answer:
I believe it is A......
Answer:
C.)
Step-by-step explanation:
180 = 6x + (2x - 32)
212 = 8x
26.5 = x
y = 2x - 32
y = 21
HELP ThIS IS DUE TODAY
True/False....When you are simplifying an expression you should look for the "like terms" to combine first. *
Answer:
true
Step-by-step explanation:
Jennifer solved 27 problems, which is 3 11 of all the problems in her homework. How many problems are in her homework? find the number
Answer:
99 problems
Step-by-step explanation:
27 problems solved, x problems unsolved
27/x to 3/11
27/3 = 9
3/11(9/9)
27/99
There are 99 problems in Jennifer's homework.
can someone please help me with these two
Answer:
1)
x=8 degrees
<B=70 degrees
2)
<MON=57 degrees
Step-by-step explanation:
Detailed ans is in attachment
hope it helps :)
plz mark as brainliest
PLEASE HELP !! BRAINLIEST AND 10 POINTS
how to change percentage to degree
Answer:
A full circle has 360 degrees, which means that 100% of the circle is 360 degrees. First convert the percentage into a decimal. If you multiply 360 by 0.90, you get the degree measure that corresponds to the percentage, which is 324.
Step-by-step explanation: