Answer:
[tex]y=3x+37[/tex]
Step-by-step explanation:
Determine slope:
[tex]Slope=m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{49-22}{4-(-5)}=\frac{27}{4+5}=\frac{27}{9}=3[/tex]
Determine y-intercept:
[tex]y=mx+b[/tex]
[tex]49=3(4)+b[/tex]
[tex]49=12+b[/tex]
[tex]37=b[/tex]
Final equation:
[tex]y=3x+37[/tex]
if p(x)=x^2-4x+3 evaluvate p(2)-p(-1)+p(1/2)
Answer:
....◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉
What is the answer to 2(2x-5)
Answer: The answer is 4x - 10.
Explanation: The explanation is in the image. The explanation is showing using the distributive property to multiply 2 by 2x - 5.
Answer:
4x-5
Step-by-step explanation:
Each day Jacob records the number of laps and the distance he walks, in miles, on a track. Graph the relation and determine whether the distance that Jacob walks is a function of the number of laps.
{(3, 0.75), (6, 1.5), (9, 2.25), (2, 0.5), (7, 1.75), (10, 2.5), (4, 1)}
The distance is 6.18 miles that Jacob walks as a function of the number of laps which is represented in the attached graph.
We have been given the relation below:
{(3, 0.75), (6, 1.5), (9, 2.25), (2, 0.5), (7, 1.75), (10, 2.5), (4, 1)}
What is the distance between two points?The distance between two points is defined as the length of the line segment between two places representing their distance.
The formula of the distance between two points is P(x₁, y₁) and Q(x₂, y₂) is given by: d (P, Q) = √ (x₂ – x₁)² + (y₂ – y₁) ².
The given relation of function is represented in the attached graph.
Take two endpoints (3, 0.75) and (9, 2.25)
x₁ = 3, y₁ = 2.25
x₂ = 4, y₂ = 9
distance = √ (9 – 3)² + (2.25 – 0.75)²
distance = √ (6)² + (1.5)²
distance = √ (36 + 2.25)
distance = √ (38.25)
distance = 6.18 miles
Therefore, the distance is 6.18 miles that Jacob walks is a function of the number of laps.
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Clare wants to buy a used wide-screen TV that sells for $2,000 cash. She will make a down payment of $1,000 and then six monthly payments of $200. What is the full installment price and the annual interest rate ?
The full installment price is $ 2200, and the annual interest rate is 10%.
Since Clare wants to buy a used wide-screen TV that sells for $ 2,000 cash, and she will make a down payment of $ 1,000 and then six monthly payments of $ 200, to determine what is the full installment price and the annual interest rate is due perform the following calculation:
1000 + 200 x 6 = 1000 + 1200 = 2200 1000 = 100 1200 = 120 20/12 x 6 = 10
Therefore, the full installment price is $ 2200, and the annual interest rate is 10%.
Learn more about maths in https://brainly.com/question/25866144
help please?????????
Answer:
A, to B, to D,
or A, to E, to C, to D
Step-by-step explanation:
Converting 60 minutes to seconds gives you how many seconds
Answer:
3600 seconds
Step-by-step explanation:
Need help quick !!!!!!!
write an equation for the nth term of the arithmetic sequence.then fine a10
Answer is attached.
Hope it helps :)
Write as an equation and solve: Eight less than the number is 31.
Step-by-step explanation:
x is the number
so, the equation is
x - 8 = 31
x = 39
Answer:
n is the number
Step-by-step explanation:
n-8=31
n = 39
hoped that helped:P
what is the 78th term of the arithmetic sequence -4, -2, 0,
Answer:
T78=150
Step-by-step explanation:
Tn=a+(n-1)d
T78=-4+(78-1)2
T78 =-4+(77)2
T78 =-4+154
T78=150
Johnathan is driving from Houston to Seattle. After 3 hours, he has traveled 150 miles. After 7 hours, he has traveled 350 miles. This information is also represented in the table below.
Driving Time
Time (hr) Distance (miles)
3 150
7 350
10 500
What is Johnathan’s average rate of speed?
Answer:
50mph
Step-by-step explanation:
first divide 150 by 3 and you get 50
then divide 350 by 7 you get 50
and finally divide 500 by 10 and you get 50
3
3
3
3
3
I pentagon
2 pentagons
3 pentagons
Represent the relationship using a table. Complete the table below.
Number of Perimeter,
Pentagons, X
1
Ordered
Pair (x,y)
2
3
(Simplify your answers.
The relationship between the number of pentagons and the perimeter will be
[tex]x=1,y=15,(x,y)=(1,15)\\x=2,y=29,(x,y)=(2,29)\\x=3,y=43,(x,y)=(3,43)[/tex]
From the diagram in the question, each side of a pentagon has length [tex]3units[/tex].
Also, each time another pentagon is attached, a side is removed.
Using these observations, we can create a relationship between the number of pentagons, [tex]x[/tex], and the perimeter, [tex]y[/tex], as follows
For [tex]x=\text{number of sides}=1[/tex]
[tex]y=\text{perimeter}=3\times 5=15units[/tex]
For [tex]x=2[/tex]
[tex]y=3\times5+3\times5-1\\=15+15-1\\=29units[/tex]
For [tex]x=3[/tex]
[tex]y=3\times5+3\times5-1+3\times5-1\\=3\times5+3\times5+3\times5-1-1\\=15+15+15-2=43units[/tex]
The relationship will be
[tex]x=1,y=15,(x,y)=(1,15)\\x=2,y=29,(x,y)=(2,29)\\x=3,y=43,(x,y)=(3,43)[/tex]
Learn more about perimeter here: https://brainly.com/question/17756657
The budget $_________ per guest
Simplify. Pls help really need help
Answer:
the answer is 5a
Step-by-step explanation:
I need this question done please it’s the one circled
Answer:
i think 2
Step-by-step explanation:
65km ÷ x = 6 1/2km×5
65÷x = 6 1/2×5
65÷x = 13/2 ×5
65÷x = 65÷2
x = 2
so 2 is answer
answer
2
let the unknown number be x
65/x=6+1/2*5
65/x=13/2*5
65/x=65/2
65/x=32.5
x*32.5=65
x*32.5/32.5=65/32.5
x=2
I need the answer for this question if possible give me your thought process
[tex]\text{Given that,}\\\\(x_1,y_1) = (0,0)~~ \text{and}~~ (x_2, y_2) = (-12,5)\\\\\text{Distance between two points,}\\\\d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\\\\\implies d = \sqrt{(-12-0)^2 + (5-0)^2}\\\\\implies d = \sqrt{(-12)^2 +5^2}\\\\\implies d =\sqrt{144+25}\\\\\implies d=\sqrt{169}\\\\\implies d = 13\\\\\text{So, the answer is C.}[/tex]
Which postulate or theorem can be used to prove the triangles congruent?
a) ASA
b) SAS
c) AAS
d) SSS
e) cannot be proved congruent
Answer:
D) SSS
Step-by-step explanation:
They have 3 sides that are congruent to each other. We don't know anything about the angles.
A bouncy ball is dropped such that the height of its first bounce is 2.75 feet and each successive bounce is 80% of the previous bounce's height. What would be the height of the 12th bounce of the ball? Round to the nearest tenth (if necessary).
Answer:
0.3 feet
Step-by-step explanation:
2.75(0.8)^x
in which x is the number of bounces after the firts bouce
bouce 12 would mean x=11
2.75(0.8)^11 = 0.2
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!
Zoe charges £9 per student to attend a dance class. There are y students in the class.
a . Write an expression for the total amount she charges for a class.
b. How much does she charge for 5 students?
c. How many students must she have in the class to make £72?
if a car travels for 3 hours its average speed is 75km/h work out the total distance the car travels
Answer:
225 km
Step-by-step explanation:
75 · 3 = 225
Answer:
225 km
Step-by-step explanation:
Distance = Speed × Time
Distance = 75km/h × 3
Distance = 225km
it takes 5 days to repair 1250 meters of road.
At this rate, how many days will it take to repair 8 kilometers of road?
Answer:
2000 Meters
Step-by-step explanation:
First, DIvide 1250 by 5 and you get 250. Multiply by 8 and you get 2000.
help please I'm stuck on this question
Answer:
120 yd²
Step-by-step explanation:
The floor consists of a square and a triangle
area of square = 10² = 100 yd²
area of triangle = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 4 and h = 10 , then
area = [tex]\frac{1}{2}[/tex] × 4 × 10 = 2 × 10 = 20 yd²
company needs 100 + 20 = 120 yd²
Choose the correct transformation.
Please not answer just for points! I really need help~
Answer:
All I know is that it is the Last Option
Step-by-step explanation:
I did most of this mentally but I can kinda help you out :D
original R: (-5,-5) New R: (-11,-11)
To go back to original R: (-11+6, -11+6)
original U: (-5, 1) new U: (1,7)
HOPE THIS HELPEDDDD :333
Can someone please help me with this? Tysm!! ^^
Answer:
90 feet
1080 inches
Step-by-step explanation:
I hope it helps you!
Solve 5/4=y−1/4. i need help
Answer:
I don't know
Step-by-step explanation:
Frank and Chris both took the ABC achievement test, which is N(950,50). If frank had a z-score of 2.5 and Chris had a
score of 675, how much higher was Frank's score?
1075
1700
400
525
none of the above
======================================================
Explanation:
The notation N(950,50) tells us that we have a normal distribution with the following parameters:
mu = 950 = meansigma = 50 = standard deviationUse the z score z = 2.5 to convert to its raw score x
z = (x-mu)/sigma
2.5 = (x-950)/50
2.5*50 = x-950
125 = x-950
x-950 = 125
x = 125+950
x = 1075
Frank's z score of z = 2.5 corresponds to the actual score of x = 1075. This is 1075-675 = 400 points higher than the score Chris got.
Simplify the expression 4(-y+2) -3y
Answer:
−7y+8
Step-by-step explanation:
1. Simplify each term.
−4y+8−3y
2. Subtract 3y from −4y.
−7y+8
Hope this helps :D
The teacher collected some snowfall data during one of the snow days last year. Estimate the total snowfall throughout the day.
The total snowfall throughout the day is the expected value of the distribution.
The estimated total snowfall during the day is 30 inches
Start by calculating the average rate of snow collected on that day.
[tex]Rate = \frac{0 + 1.5 + 2.5 + 2.0 +1.0 +0.5}{6}[/tex]
This gives
[tex]Rate = \frac{7.5}{6}[/tex]
Divide 7.5 by 6
[tex]Rate = 1.25[/tex]
There are 24 hours in a day.
So, the total snowfall is:
[tex]Total = Rate \times Hours[/tex]
This gives
[tex]Total = 1.25 \times 24[/tex]
Multiply
[tex]Total = 30[/tex]
Hence, the estimated total snowfall during the day is 30 inches
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How i can answer this question?, NO LINKS, if you answer correctly i'll give u brainliest!
6(4a-3b)
if you draw a factor tree that goes like:
24
1 24
2 12
... ... (and so on, you'll find 6 is the highest)