Answer:
a. -2 4
Step-by-step explanation:
What is an equation of the line that passes through the point (8,0) and is parallel to the line x-4y=20?
Answer:
y= 1/4 (x -8)
Step-by-step explanation:
x -4y= 20
-4y= -x + 20
y= 1/4 × -5
y - y1 = m (x - x1)
y - 0 = 1/4 (x -8)
y= 1/4 (x -8)
A clothing business finds there is a linear relationship between the number of shirts, n ,it can sell and the price, p , it can charge per shirt. In particular, historical data shows that 1000 shirts can be sold at a price of $66, while 10000 shirts can be sold at a price of $48. Give a linear equation in the form p
Answer: p = [tex]\frac{-n}{500} +68[/tex]
Step-by-step explanation:
Let n represent the number of shirts and p represent the price, the there is a linear relationship between n and p, then the model equation is given as:
p = mn + b, where
m = slope and b is the intercept
From the question, when n = 1000, p = $66
And, when n = 10,000 , p = $48
The formula for finding slope is given as:
m = [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
[tex]y_{1} = 66[/tex]
[tex]y_{2} = 48[/tex]
[tex]x_{1} = 1000[/tex]
[tex]x_{2} = 10000[/tex]
substituting the values,
m = [tex]\frac{48-66}{10000-1000}[/tex]
m = [tex]\frac{-18}{9000}[/tex]
m = [tex]\frac{-2}{1000}[/tex]
m = [tex]\frac{-1}{500}[/tex]
The linear equation thus becomes
p = [tex]\frac{-n}{500}+b[/tex]
To find the value of b, substitute p = 66 and n =1000 into the equation
That is,
66 = [tex]\frac{-1000}{500}+b[/tex]
66 = -2 + b
68 = b
Therefore b = 68
The linear equation is therefore
p = [tex]\frac{-n}{500} +68[/tex]
I need help asap please
Answer:
A= 90 , b= 12 , c=60,
Step-by-step explanation:
cuz im smart like that
Write an equation of the line passing through point P(2, 3) that is perpendicular to the line y-4=-2(x+3) .
Answer:
y - 3 = 1/2(x - 2)Step-by-step explanation:
The given line has a slope of -2.
The perpendicular line will have a negative-reciprocal slope:
m = 1/2Use same point-slope form and the point P(2, 3):
y - y₁ = m(x - x₁)y - 3 = 1/2(x - 2)[tex]\\ \sf\longmapsto y-4=-2(x+3)[/tex]
Here slope is -2
The perpendicular line have additive and multiplicative inverse slopem=1/2
Put co-ordinates of P in equation
[tex]\\ \sf\longmapsto y-3=\dfrac{1}{2}(x+2)[/tex]
mike wants to buy the same number of balloons for 2 of his friends. her has $59, and each balloon costs $7. What is the largest number of balloons that mike buys for each friend
Answer:
4
Step-by-step explanation:
7x8=56 wich is the highest number it can go to
so 8/2=4
[tex]\sqrt{4x-5}-\sqrt{16-5x}[/tex]
Answer:
[5/4,16/5]
Step-by-step explanation:
(X^2 -6x -20)/(x+2)
Use long division
Answer:
The answer is x-8-4/x+2.
Step-by-step explanation:
I'm certain this is correct since I factored and have done everything required.
least common denominator between the fractions 1/3 and 2/8
Answer:
LCD 1
Step-by-step explanation:
Answer:
I believe the LCD is 24.
Step-by-step explanation:
Find the value of each variable.
Answer:
x=17
Step-by-step explanation:
their interior angles so they equal each other
40=2x+6
34=2x
x= 17
What is the graph of the function f(x) = the quantity of x squared minus 7 x plus 12, all over x minus 3 ? (1 point);
Answer:
pic is answer
Step-by-step explanation:
f(x) = x + 13. Find the inverse of f(x).
O A. f '(x) = (x+13)
O B. f '(x) = x3 + 13
O c. f '(x) = 23 – 13
O D. f '(x) = (2 – 13)"
SUBMI
The answer should be x-13
if 8 blouses cost $1,200 Find the cost of 3 blouses
Answer:
3 Blouses cost $450
Step-by-step explanation:
1,200 ÷ 8 = 150
150 x 3 = 450
Answer: $450
Step-by-step explanation:
First divide 1,200 by 8 (150) Then times that by 3 to get the answer
Rosalyn is a teacher who plays a review game with her class. The name involves writing each student's name on
an identical slip of paper and selecting students at random Here's the makeup of her class
10th 11th 19
Number of students
18
Suppose that Rosalyn wants 2 different students, so she ples 2 names without replacing names between picks
What is the probability that both students selected are 11th graders!
Round your answer to two decimal places.
Using the principle of probability, probability of selecting 2 students without replacement and being 11th graders is 0.230
The distribution of students :
11th graders = 1810th graders = 19Total number of students = 18 + 19 = 37Recall :
Probability = required outcome / Total possible outcomesSince, selection is done without replacement :
P(both are 11th graders) = (18/37) + (17/36) = 0.230
Therefore, the probability that the two selected students are 11th graders is 0.230
Learn more : https://brainly.com/question/25215975
How many times larger is 4 × 105 than 2 × 102?
A.
200
B.
2,000
C.
20,000
D.
20
Answer:
None answer applicable, answer would be 2.05882353 incorrect question or no answer given with A.B.C.D
Step-by-step explanation:
4 * 105 = 420
2 * 102 = 204
420 / 204 = 2.05882353
Answer:
B. 2000Step-by-step explanation:
Divide the given numbers:
4× 10⁵ ÷ 2 × 10² = 4/2 × 10⁵⁻² = 2 × 10³ = 2000The bus fare in a city is $2.00. People who use the bus have the option of purchasing a monthly coupon book for $24.00. With the coupon book, the fare is reduced to $1.00. Determine the number of times in a month the bus must be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book.
The bus must be used ? times.
Answer:
What fair
Step-by-step explanation:
Find the slope of the line through each pair of points.
(−13, −19), (13, 3)
Find the slope of each line.
y = 2x − 1
The question gives us two points, (−13, −19) & (13, 3), from which we can find the slope and later the equation of the line.
Finding the Slope
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= ((3 - (-19)) ÷ (13 - (-13))
= 22 ÷ 26
= ¹¹/₁₃
Checking my answer:
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. If the line passes through both of the points then we calculated the slope correctly.
⇒ y + 19 = ¹¹/₁₃ (x + 13)
I have included a Desmos Graph that I graphed using the information equation (including the slope) and the points given.
Jeff walks 3 1/2 miles in 3/4 hour. In 1 1/4 hour Sarah walks 6 3/4 miles. Who walks faster
f(x)=5x-1; find f (-2), f (0), and f (x+1)
Answer:
f(-2) = -11
f(0) = -1
f(x+1)= f (x+1)=5x+4
Step-by-step explanation:
Which of the following represents the distance between x and y on a number line?
A. (x + y)
B. |y - x|
C. (y – x)
D. |x+y|
E. yx
Help plsssss! I need this done
Answer:
B)p=20
Step-by-step explanation:
25=5p/4
25×4=5p
100=5p
p=100/5
p=20
Work out the value of 3^2+2^3
Answer:
Step-by-step explanation:
3^2=9
2^3=8
9+8=17
Answer:
17
Step-by-step explanation:
3²+2³
= (3×3)+(2×2×2)
= 9+8
= 17
6 exponent 2-4 for b=5
Answer
6 exponent 2 is 36
6 exponent 4 is 1296
Both added is 1332
Step-by-step explanation:
1. 6x6=36
2. 6X6X6X6= 1296
3 1296+36=1332
Esteban is 11 years older than Mya. Last year Esteban was twice as old as Mya. How old is Mya now?
Answer:
Mya is 12
Step-by-step explanation:
EEstaban is 11 years older so Estaban was 22 and Mya was 11
so now Maya is 12
Hope this helps! :)
Answer: 12 years old
Step-by-step explanation:
Let x be Esteban's age, and let y be Mya's age.
x = y + 11
x-1 = 2(y-1)
Substitute
y + 11 - 1 = 2 (y - 1)
Solve
y + 10 = 2y - 2
12 = y
Hope it helps :)
Can someone plsss help me with the 2 one
Answer: [tex]\sqrt{73}[/tex] for number 7
Step-by-step explanation:
a²+b²=c²
3²+8²=c²
9+64=c²
[tex]\sqrt{73}=\sqrt{c^2}\\\sqrt{73}=c[/tex]
helppppppppppppppppppppppppppppppppppppppppppppp
Answer:
what do u need help for, I can help you
Answer:
well i have to know the unit rate in order to know the answer
Step-by-step explanation:
So, to quote Sonic the Hedgehog from the movie Sonic the Hedgehog:
cherie left at 7:10 to drive to her aunts house her aunts lives 339 miles away she arrived at 12:55 how long did it take cherie to drive to her aunt house
Answer:
17hrs 45mins
Step-by-step explanation:
Timespan is 17 hour(s) and 45 minute(s).
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answer:
52.5
Step-by-step explanation:
Just subtract 65-12 which is 53. Take away 0.5 to get 53.5
Answer:
The sunflower was 52.9 inches when the gardner last measured.
Step-by-step explanation:
a) x + 12.1 = 65 in.
b) To solve this problem, use inverse operations to find x variable. Since this problem has addition, we will have to use subtraction. 65 - 12.1 = 52.9. So, 52.9 would be your answer.
-kiniwih426
Complete the conjecture based on the pattern you observe in the examples below:
Conjecture: The sum of any two odd numbers is ___
1 + 1 = 2 9 + 11 = 20
1 + 5 = 6 13 + 21 = 34
7 + 9 = 16 101 + 103 = 204
Conjecture: The product of any two numbers is ___
1 . 1 = 1 9 . 11 = 99
1 . 3 = 3 13 . 11 = 143
3 . 7 = 21 101 . 103 = 10,403
Conjecture: The product of a number (x-1) and the number (x+1) is always equal to ___
3 . 5 = 4² - 1 7 . 9 = 8² - 1
4 . 6 = 5² - 1 6 . 8 = 7² - 1
5 . 7 = 6² - 1 8 . 10 = 9² - 1
Step-by-step explanation:
the writing and spacing of the problem description is difficult to understand.
but there is no mystery. look at the examples.
all of them
3×5 = 15 = 16 - 1 = 4² - 1
4×6 = 24 = 25 - 1 = 5² - 1
5×7 = 35 = 36 - 1 = 6² - 1
6×8 = 48 = 49 - 1 = 7² - 1
7×9 = 63 = 64 - 1 = 8² - 1
8×10 = 80 = 81 - 1 = 9² - 1
so, what does this look like ?
(x-1)×(x+1) is always equal to (x² - 1)
Evaluate 3215.
Enter your answer as a whole number
Answer:
3215
Step-by-step explanation:
There is no explanation
Go and increase you Intelligence
Which equation represents “fifteen more than r is sixty-one?”
Answer:
r + 15 = 61
Step-by-step explanation: