Answer:
Graph the line using the slope and y-intercept, or two points.
Slope: -1/3
Y-Intercept: (0,1)
In 1992, Disney created a one-of-a-kind special pin. Each year, the pin’s value appreciates by a constant amount. In 1997, the pin was valued at $350. In 2002, it was valued at $600. Let x be the number of years since 1992 and y be the value of the pin in dollars. Write a linear equation in slope-intercept form that models this situation.
Answer:
[tex]y = 50x + 50[/tex]
Step-by-step explanation:
Given
x = years since 1992.
y = value of pin
This means that
[tex]x = 1[/tex] ----- in 1992
[tex]x_1 = 6[/tex]; [tex]y_1 = 350[/tex] ---- in 1997
[tex]x_2 = 11;[/tex] [tex]y_2 = 600[/tex] ---- in 2002
Required
Determine the line equation in slope intercept form
First, we need to determine the slope (m) of the line
[tex]m = \frac{y_2 - y_1}{x_2- x_1}[/tex]
[tex]m = \frac{600 - 350}{11- 6}[/tex]
[tex]m = \frac{250}{5}[/tex]
[tex]m = 50[/tex]
The equation is then calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
Recall that
[tex]x_1 = 6[/tex]; [tex]y_1 = 350[/tex]
[tex]m = 50[/tex]
So, we have:
[tex]y - 350 = 50(x - 6)[/tex]
[tex]y - 350 = 50x - 300[/tex]
[tex]y = 50x - 300 + 350[/tex]
[tex]y = 50x + 50[/tex]
Math Trick
43 x 67 = ?
Answer:2881
Step-by-step explanation:
Answer:
2881
Step-by-step explanation:
X-7
4x + 1
ngle.
6x + 2
Find the perimeter
Answer:
ANSWER
GIVEN:
OA= 3x-1 , OC= 5x-3, OD= 6x-5 , BO = 2x+1
AO/OC = BO/OD
[The diagonals of a Trapezium divide each other proportionally]
(3x-1)/(5x-3) =( 2x+1)/(6x-5)
(3x-1) (6x-5) = (5x-3) ( 2x+1)
3x(6x-5) -1 (6x-5) = 2x(5x-3)+1(5x-3)
18x² -15x -6x +5 = 10x² -6x +5x -3
18x² -21x +5 = 10x² - x -3
18x² -10x² -21x + x +5+3 =0
8x² - 20x +8= 0
4(2x² -5x +2) = 0
2x² -5x +2 = 0
2x² -4x -x +2= 0
[By factorization]
2x(x-2) -1(x-2)= 0
(2x-1) (x-2) = 0
(2x-1) = 0 or (x-2) = 0
x = ½ or x = 2
If we put x= ½ in OD , The value of OD is negative.
Hence, the value of is x = 2.
Step-by-step explanation:
1 =29 and 2=44...............
Solve using EQUATIONS (with step by step explanation)
3x+y=-9
y=5x+7
Answer:
3x+y=-9= 0 then y=5x+7=0
Step-by-step explanation:
Slope=−
2.000
6.000
=−3.000
x−intercept=−
3
9
=−3
y−intercept=−
1
9
=−9.00000
=
2.000
10.000
=5.000
x−intercept=
−5
7
=−1.40000
y−intercept=
1
7
=7.00000 i believe
If Gabe's Soccer Ball Company is able, due to competitive pressure, to charge $60 for a new soccer ball, while one soccer ball costs $28 to make, plus $15,000 per month in overhead costs (mostly Gabe's extravagant salary) find: a. The average cost c(x) of producing each soccer ball b. Algebraically find the number of soccer balls Gabe's company must produce per month in order to break even (Profit = 0). Profit = Total Revenue – Total Cost c. Algebraically find the number of soccer balls Gabe's company must make to earn a profit of $10,000 per month. d. If Gabe took a pay cut to reduce the overhead costs to $8,000 per month, how many fewer balls would the company have to sell to break even. (There are multiple ways to get this result).
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Selling price= $60
Unitary variable cost= $28
Fixed costs= $15,000
First, we need to calculate the average total cost:
Average cost= total cost / number of units
For example, for 1 unit and 10,000 units:
1 unit:
Average cost= 15,028/1 = 15,028
10,000 units:
Average cost= (15,000 + 28*10,000) / 10,000
Average cost= $29.5
Now, we can calculate the break-even point in units:
0= (60*x) - (28*x) - 15,000
x= number of units to break-even
0= 32x - 15,000
15,000/32= x
468.75=x
break-even point in units= 469
For the desired profit of $10,000:
10,000 = (60*x) - (28*x) - 15,000
25,000= 32x
781.25= x
Break-even point= 782 units
Finally, fixed costs dropped by $8,000:
0= 32x - 7,000
x= 7,000/32
x= 218.75
Break-even point= 219
Difference= 250 units
please help me out with this question.
much appreciation. Thanks.
Answer:
there is nothing
Step-by-step explanation:
which is closer to 0 3/8 or -1/3
Answer:
3/8
Step-by-step explanation:
Answer:
3/8 = 9/24
1/3 = 8/24
-1/3 is closer to 0
3/8 is farther from 0
Arrange the decimals from least to greatest. Choose the letter below that shows the order least to greatest.
-4.3 -0.43 -0.043 -0.34 -3.4
-4.3, -3.4, -0.43, -0.34, -0.043
-4.3, -0.43, -0.043, -3.4, -0.34
-0.043, -0.43, -0.34, -3.4, -4.3
Answer:
-4.3, -3.4, -0.43, -0.34, -0.043
Which values from the given replacement set make up the solution set of the inequality?
m+7<18 ; {8, 9, 10, 11}
{9, 10, 11}
{8, 9, 10}
{8, 9}
{10, 11}
Answer:
B: 8,9,10
Step-by-step explanation:
a necklace contains 36 gram of gold 72% of the mass of necklace is gold what is the mass of the necklace
Answer:
50 grams
Step-by-step explanation:
36 grams = 72%
→ Find 1% by dividing both sides by 72
0.5 grams = 1%
→ Times both sides by 100 to find 100%
50 grams = 100%
Step-by-step explanation:
Multiply 32 by 72 to get thw mass.
What is 1232456 * 789456? I will mark brainliest!!
Answer:
972,969,793,936Step-by-step explanation:
972,969,793,936 is the answer when the numbers and multiplied.
You have to multiply according to the different places you put the numbers in.
Hope this helped,
Kavitha Banarjee
789101112
Step-by-step explanation:Can I please get some help with this :D
Jack has 27 pencils. Shane has 3 more than twice the amount that Jack has. Which equation shows the relationship between the number of pencils Jack (j) has and the number of pencils Shane (s) has?
Answer:
s=27*2+3
rrefrewhtefghttrfdgh
Rosa picked some peaches from one tree,
and then she picked 8 peaches from a
different tree.
She gave 10 peaches to Sten.
She has 12 peaches left.
How many peaches did Rosa pick from the
first tree?
Answer:
points
Step-by-step explanation:
Can anyone help me on these 2 questions
Answer:
Nope lol
Step-by-step explanation:
in the figure given alongside find angle ACD angle ADC and angle DAE
Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was $30, what was the final price of the sweater?
Answer:
$15.75
Step-by-step explanation:
30 multiplied by 0.3 is 9. 30-9 is 21. 21 multiplied by 0.25 is 5.25. 21-5.25 is 15.75
20. If g(x) = x^3+9/3x evaluate g(-3)
Answer:
2
Step-by-step explanation:
-3^3+9/3*-3= 2 ypu have tu substitute the x by -3 always.
I need help with this question ASAP
Rewrite the expression by collecting like terms.
1/2k - 3/8k
Answer:
1/8k
Step-by-step explanation:
1/2k= 4/8k
4/8k-3/8k=1/8k
Please help me! Im not good at this topic.
Answer:
I THINK IT IS C.
Step-by-step explanation:
Which graph represents the equation 6x−5y=10 ? A image 1ab24067a1a445c6b2cc4633bfedfbb0 B image 28e91cd406af4c89bbd5cef1ec880a48 C image cfe6c7f17af74557ac6084f98e5bf5e0 D image 6fe8450f191547f885106542b28826f1
Answer:
i'm sorry
Step-by-step explanation:
what do you mean
Find the slope of the line passing through the points (9,3) and (9,-5).
Answer: its 8
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
Xochitl has saved $201.60. Yamka has saved LaTeX: \frac{2}{3}2 3 the amount Xochitl saved. Zack has saved 1.5 times the amount Yamka saved. How much have they saved all together?
Answer:
$537.60
Step-by-step explanation:
Xochitl has saved $201.60.
Yamka has saved 2/3 the amount Xochitl saved.
The amount Yamka has saved us calculated as:
2/3 × $201.60
= $134.40
Zack has saved 1.5 times the amount Yamka saved.
The amount Zack has saved is
1.5 × $134.40
= $201.60
How much have they saved all together?
This is calculated as:
$201.60 + $134.40 + $201.60
= $537.60
In order for two figures to be considered similar, which of the following MUST be true? (Check all that apply) There is more than one answer.
Corresponding sides are proportional
Corresponding sides are congruent
The shapes are exactly the same in side length and angle measure
Corresponding angles are congruent
Answer:
According to me all the options are correct
Gcf of 80x^3 and 30yx^2
ILL GIVE BRAINLIST IF YOU ARE RIGHT 1. (05.01 LC)
The graph shows the distance, y, that a car traveled in x hours:
What is the rate of change for the relationship represented in the graph? (1 point
55
54
1/54
1/55
Answer:
55 (A) (I understand you bro)
because here, 1 (x) is = to 55 (y), the rate is 1:55 (x:y). This is a ratio, it's gonna bother you later
Sara borrows $56 from her mother to buy a new pair of jeans. If
Sara decreases her debt by $4 each week, how many weeks will
it take her to pay off the whole amount she owes her mother?
Answer:
Have an amazing night/day!
Step-by-step explanation:
14 i think ill edit if im wrong
The cost y (in dollars) to spend an evening bowling is proportional to the
number of games x that are bowled.
It costs $16 to bowl 4 games.
5. Write an equation that represents the situation.
6. How much does it cost in dollars) to bowl 6 games?
Answer:
y = 4x
Bowl 6 games cost $24
Step-by-step explanation:
Proportional Relationship
We have a situation where the cost y in dollars to spend an evening bowling is proportional to the number of games x bowled.
A proportional relationship is written with the equation:
y = k.x
The value of k will be determined by using the given information: 4 games bowled cost $16, thus:
16 = k.(4) = 4k
Solving:
k = 16 / 4 =4
Thus, the function is:
y = 4x
x=6 games bowled cost:
y = 4*6
y = $24
Bowl 6 games cost $24
Evaluate the expression | 9 | + | - 2|
Answer: 11
Step-by-step explanation:
|9| + |-2| =
9 + 2 = 11