Answer:
y = -2x + 8
Step-by-step explanation:
(−6, 20) and (0, 8)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(8 - 20) / (0 - (-6))
Simplify the parentheses.
= (-12) / (6)
Simplify the fraction.
-12/6
= -2
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = -2x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (0, 8). Plug in the x and y values into the x and y of the standard equation.
8 = -2(0) + b
To find b, multiply the slope and the input of x(0)
8 = 0 + b
b = 8
Plug this into your standard equation.
y = -2x + 8
This is your equation.
Check this by plugging in the other point you have not checked yet (-6, 20).
y = -2x + 8
20 = -2(-6) + 8
20 = 12 + 8
20 = 20
Your equation is correct.
Hope this helps!
7 people are going to share an 84 oz bottle of soda how many ounces will each person get to drink
Answer:
12
Step-by-step explanation:
divide 84 by 7.
Answer:Each person should get 12 ounces if they share it evenly.
Step-by-step explanation:I divided the number of ounces by the number of people splitting it.
simplify the expression :
1.7h - 8.9 + 3
Answer:
1.7h - 5.9
Step-by-step explanation:
Combine the like terms -8.9 and 3 to get -5.9. Since it's negative, you subtract.
Write a real-world problem for the given inequality,15x + 3 < 14x + 5
Answer:
b
Step-by-step explanation:
melanie walks 2 large dogs and 8 small dos as part of her dog walking business the simplified ratio of large dogs to small dogs is
Answer:8:36
Step-by-step explanation:
Answer: 1 : 4
Step-by-step explanation:
The simplified ratio of large dogs to small dogs is 1 : 4.
The original, unsimplified ratio would be 2 : 8, because there are 2 large dogs for every 8 small dogs. But to simplify it, we can divide each side by 2.
2 ÷ 2 = 1, while 8 ÷ 2 = 4.
Therefore, the simplified ratio of large dogs to small dogs is 1 : 4.
Hope this helps!
review the graph. given a pair of complex numbers, z1=5 and z2=-6i, let z3=3i+z1 and z4=z2-2. In which quadrant is z3-z4 located?
A. Quadrant 1
B. Quadrant 2
C. Quadrant 3
D. Quadrant 4
Answer:
A
Step-by-step explanation:
z₃ - z₄ is located in Quadrant 1, the correct option is A.
What are complex numbers?The numbers that can be expressed in the form of a + ib are called Complex numbers, i is called the iota, whose value is equal to the square root of -1.
These are imaginary numbers.
The complex numbers are
z₁ = 5
z₂ = -6i
z₃ = 3i +z₁
z₃ = 3i + 5
z₄ = z₂ - 2
z₄ = -6i -2
The mathematical operations in all the complex numbers are performed similarly in real numbers,
The like terms are grouped together.
The subtraction of the complex numbers has to be determined.
z₃ - z₄ = ( 3i + 5) - ( -6i -2)
z₃ - z₄ = 3i +6i +5 +2
z₃ - z₄ = 9i +7
The constant and the imaginary term depict the x and y coordinate respectively.
As both the terms are positive, it lies in Quadrant 1.
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Solve the System of Equations using Substitution.
-3x+2y=12
x=2y-8
Answer:
(-2,3)
Step-by-step explanation:
x=2y−8;−3x+2y=12
x=2y−8
−3x+2y=12
−3(2y−8)+2y=12
−4y+24=12
−4y+24+−24=12+−24
−4y=−12
-4y=-12
y=3
x=2y−8
x=(2)(3)−8
x=−2
!! HELP, I NEED HELP QUICKLY OR THE ANSWER!!!
Math quiz: expressions and equations
Jeremiah has three more than twice as many pencils as Spencer. If s represents how many pencils Spencer has, which is an algebraic expression that represents the number of crayons that Jeremiah has?
A. 3s + 2
B. 2s + 3
C. 5s
D. 6s
the answer should be a
What is the rate of change of the function y = 7/4x+1?
Answer:
7/4!
Step-by-step explanation:
I think?
Which equation to the right is ture
Step-by-step explanation:
there's no equation. so we dont know
Answer:
Where is the equation?
Step-by-step explanation:
What is the area of this figura?
Answer:
total area of the figure is: 1568 yd^2
Step-by-step explanation:
The area of the figure is the addition of the areas of a square and a rectangle:
The square on top that measures 28 yd times 28 yd, therefore its area is:
28^2 yd^2 = 784 yd^2
The rectangle at the bottom measures: 56 yd times 14 yd, therefore its area is:
Area rectangle = base x height = 56 yd x 14 yd = 784 yd^2
Then, the total area is the addition of these two:
Area of square + area of rectangle = 784 yd^2 + 784 yd^2 = 1568 yd^2
if you have the answers send em pls
Step-by-step explanation:
area of rec= length×width
=10×4
= 40
radius= diameter/2
=4/2 = 2
area of semicircle= πr²/2
=22/7×2×2×1/2
=6.28
=6.3
adding both
we get,
=40+6.3
= 46.3
Can I please have help
Answer:
65
Step-by-step explanation:
Because is cross angles and 130:2 is 65
what is the equivalent ratio of 2 over 9?
Answer:
4/18, 6/27, 8/36, 10/45, 12/54, 14/63, 16/72, 18/81, 20/90, 22/99 and many more
Step-by-step explanation:
Hope this helpss!!
pls help asap
An administrative assistant can type 100 words in 90 seconds. What is the assistants rate of typing in word per minute
Based on her recipe, Elena knows that 5 servings of granola have 1,750 calories. If she eats 2 servings of granola, how many calories does she eat? *
Answer:
5 / 1750 = 2 / x
5x = 3,500
x = 700
Step-by-step explanation:
Every two servings she eats, she eats 700 calories
2.' Which number has more factors: 125 or 200?
Answer:
200
Step-by-step explanation:
factors of 125 are 1, 5, 25, 125
factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100 and 200.
Based on the number of factors of the two numbers, the number with more factors is 200.
The factors of 125 are:
1525125The factors of 200 are:
1245810254050100200The factors of 200 are 12 in total while that of 125 are only 4.
In conclusion, 200 has more factors than 125.
Find out more about factors at https://brainly.com/question/596862.
Daisy is making lemonade with water and lemons. Based on the table below, how many lemons are needed for 24 oz. of water?
ANSWER NOW PLEASE
Item 2
Which of the following is not another way of expressing 88 out of 100?
22/25
0.088
88%
0.88
Answer:
The answer is B: 0.088
Step-by-step explanation:
22/25, multiply both sides by 4 to get 88/100
88% is 88/100
0.88 is 88/10
Sophia uses 3 3/4 cups of flour for each cake she makes. She has a 10-pound bag of flour that costs $8.79 and contains 152 quarter-cup servings.
Question 1
Part A
How many cakes can Sophia make with this flour?
The number of cakes Sophia can make is 10.
The bag of flour contains 152 quarter-cup servings. So, the quantity in t he bag has to be divided by four.
Number of cups = 152 / 4 = 38 cups
In order to determine the number of cakes she can make, divide the number of cups in the bag by the cups needed to make one cake.
38 ÷ 3 3/4
38 ÷ 15/4
38 × 4/15 = 10.1 cakes
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Sophia will be able to make 10 cakes with this amount of flour.
Since Sophia uses 3 3/4 cups of flour for each cake she makes, and she has a 10-pound bag of flour that costs $ 8.79 and contains 152 quarter-cup servings, to determine how many cakes can Sophia make with this flour you must perform the following calculation:
3/4 = 0.75 (152/4) / 3.75 = X 38 / 3.75 = X 10.13 = X
Therefore, Sophia will be able to make 10 cakes with this amount of flour.
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Please help nobody is helping so far please help
The surface area is 516 square feet
Answer: 152ft square
Hope this helps!
The students in a class were asked which hand they preferred to use
for writing. The bar graph shows the results. Find the total number of
students who had a preference.
Answer:25
Step-by-step explanation:
Is 1 greater than, less than, or equal to 8/10?
Answer:
Greater than ( > )
Step-by-step explanation:
Answer:
Greater than
Step-by-step explanation
1 is greater than 0.8
x/y if?
a) x=y/3
b) y=x+3
c) x=y * 3
d) y=x-3
Answer:
(c) x=y*3 is the correct answerA store is randomly giving away gift cards to the first 150 customers. They are giving 130 gift cards that have a value of $5 each and 15 gift cards that have a value of $50 each. The rest of the gift cards have a value of $100 each. Which is the probability that a customer will get a $100 gift card?
Answer:
1/30
Step-by-step explanation:
The total number of cards is 150. Subtract the numbers of the other values, 130 and 15 to get the number of $100 cards.
150 -145 = 5
5/150 is the number out of the total.
Simplify to get the probability: 1/30
Eight bricks are laid end to end along the edge of a flower bed. Each brick is 1 1/2 inches long. How long is the row of bricks, in inches?
Answer:
12 inches
Step-by-step explanation:
What information is useful?
Each brick is: 1 1/2 inches long.
There are 8 bricks used.
Let's multiply 1 1/2 x 8 = 12 inches.
You can convert into other metrics but depending on your question it is in inches.
In the accompanying diagram ab is tangent to circle O at B and ACD is a secant.
If AB=9 and AD=27, find AC
Answer:
AC = 3
Step-by-step explanation:
Based on tangent and secant theorem, thus:
AB² = AC × (AC + CD)
AB = 9
AD = AC + CD = 27
Plug in the values
9² = AC × (27)
81 = AC × 27
Divide both sides by 27
81/27 = AC
3 = AC
AC = 3
On the first day of a social media ad campaign, a website had 15 unique visitors. Over the following several days, the website received two times the number of unique visitors as the previous day.
Which equation can be used to determine the number of unique visitors, v, that the website would have on day d of the ad campaign?
Please only reply if you know the answer not just to get points I really need help
A) v= 15x2^d
B) v=2x15^d
C) v=2x15^(d-1)
D) v=15x2^(d-1)
Answer:
the correct answer is d :)
Step-by-step explanation:
Use the formula to determine the slope of the line containing the two points (-6,6) and (-3,4)
A. -2/3
B. 7/12
C. -3/2
D. -2/9
The equation w(t)=100+40t models the weight (w(t) in grams) of a male white laboratory rat t weeks after its birth.
What is the rate of change? What does it mean in the context of the problem?
What is the y-intercept? What does it represent in the context of the problem?
Answer:
Step-by-step explanation:
Amy is scuba diving. She starts at – 15.5 m relative to the ocean surface. She swims
down 4.2 m. Then she swims up halfway to the surface. What is her position
relative to the ocean surface?
(Will give Brainlist)
Answer:
-9.85
Step-by-step explanation:
-15.5 - 4.2 = -19.7
Negatives work like positives
19.7 / 2 = 9.85
Turn that into a negative
-9.85