a line passes through the points 3, 0 and 4, 1. what is the y-intercept of the line
Answers
9514 1404 393
Answer:
(0, -3)
Step-by-step explanation:
The slope is the same for any segment of the line. The slope from (0, y) to (3, 0) is the same as from (4, 1) to (3, 0).
Δy/Δx = (y -0)/(0 -3) = (1 -0)/(4 -3)
y = -3(1/1) = -3 . . . . . multiply by -3
The y-intercept is (0, -3).
Related Questions
Model the situation.
The sum of two consecutive integers is 85. Find the integers that satisfy this condition.
Answer choices
A) 1 + 2 = 85
B) x+(x+1)=85
C) x+x=85
D) x+2x=85
Answers
Answer:
Option B is correct
Step-by-step explanation:
Let the number be x
Second number = x + 1
Sum = 85
x + x + 1 = 85
2x + 1 = 85
2x = 85 - 1
2x = 84
x = 84/2 = 42
Numbers are 42 and 43
Answer:
B) x+(x+1)=85
Step-by-step explanation:
Consecutive means in a row
Let x be the first integer
x+1 is the next integer
x+x+1 = 85
Two less than the product of 3 and a number is equal to 6
Answers
Answer:
8/3
Step-by-step explanation:
Let x represent the number.
Create an equation to represent the situation, and solve for x:
3x - 2 = 6
3x = 8
x = 8/3
So, the number is 8/3.
From the set {2, 6, 42}, use substitution to determine which value of x makes the equation true.
6(x + 40) = 252
Answers
Explanation:
If you plug in 6(2+40)= 252
Using PEMDAS, solve in the parentheses first! which will be 42.
6(42)=252
6 x 42 = 252
making x=2 because plugging in x makes this equation true
252= 252
6 4/5 + 3 2/3
add and simplify
Answers
Answer:
10 3/5
Step-by-step explanation:
6 4/5 + 3 4/5
First convert to improper fraction,
34/5 + 19/5
Then add the improper fractions,
=>53/5
Then convert improper fraction to mixed fraction,
=> 53/5 = 10 3/5
(15-12)2-2+5=
20+23×3-1=
[4(3+2)-4]+42
Answers
Answer:
Here is your answer . Hope this is helpful to you.
PLS HELP! WILL GIVE BRAINLIEST
Answers
Answer:
csc x sec x
Step-by-step explanation:
csc = 1/sin
1/sin^2 / cos/sin = 1 / sin^2 * sin/cos = 1 / sin cos = csc sec
(2x + 5) + (x + 4) =
Answers
Answer:
3x + 9
Step-by-step explanation:
(2x + 5) + (x + 4)
Distribute the + to all numbers/variables
2x + 5 + x + 4
Combine like terms:
2x + 5 + x + 4
3x + 5 + 4
3x + 9
Hope this helped.
x^2+6x+5-4y-y^2 factorize
Answers
Answer:
(x+y+5)(x-y+1)
Step-by-step explanation:
factor by grouping
x^2+6x+5-4y-y^2
x^2+6x+9 - (y^2+4t+4) + 5-9+4
(x+3)^2 - (y+2)^2
(x+3+(y+2))(x+3-(y+2))
(x+y+5)(x-y+1)
what??? I need help urgent :( i didn’t focus in math
Answers
Answer: g(x) = (x+1)-3
Step-by-step explanation: Assuming you are moving from expression f to expression g, the plus one in the equation moves the vertex to the right one. subtracting three outside of the parenthesis moves the vertex down three, giving you a vertex of (1,-3). hope this helps!
in a certain country, 40% of registered voters are reublicans, 45% are democrats, and 15% are indepdents. what is the probability that a randomly selected voter opposes the bill
Answers
solve
pls need help
pls answer now
Answers
k/3 + 4 - 5k = -2k / · 3
k + 12 - 15k = -6k
k - 15k + 6k = -12
-8k = -12 / : (-8)
k = 12/8
k = 3/2 ← the end answer
Answer: A)
Can someone plz solve the math problem i attached as a screenshot. Thx
Answers
Answer:
[tex]radius \: of \: first \: circle \: = \frac{3}{2} = 1.5cm \\ radius \: of \: \: second = \frac{4}{2} = 2cm \\ radius \: of \: third = \frac{6}{2} = 3cm \\ then \: ab \: length \\ = radius \: of \: first + diameter \: of \: second \: +r adius \: of \: third \\ = 1.5 + 4 + 3 \\ = 1.5 + 7 \\ = 8.5 cm\\ thank \: you[/tex]
Explain how you would go about factoring the following?
3x^2 +17x-28
Answers
Answer:
[tex](x + 7) \times (3x - 4)[/tex]
Step-by-step explanation:
[tex] {3}^{2} + 17x - 28[/tex]
[tex]3 {x}^{2} + 21x - 4x - 28[/tex]
[tex]3 \times x(x + 7) - 4x - 28[/tex]
[tex]3x \times ( x + 7) - 4(x + 7)[/tex]
[tex](x + 7) \times (3x - 4)[/tex]
Solve the system of equations.
y=3x + 24
y=9x
Answers
Answer:
x = 4
y = 36
Step-by-step explanation:
use substitution
y=3x+24
y=9x
therefore . 9x=3x+24
x = 4
sub 4 in for x and solve for y
y = 9(4) = 36
You give up a full-time salary of $52,000 a year to go to school for 2 years. The total cost of going to school is $36,000. If you want to be able to recover your investment in 4 years or less, what is the minimum salary you would need to earn upon earning your degree?
Answers
Answer:
$9000
Step-by-step explanation:
36000:4=$9000
1.2 hours in hours and minutes
Answers
Answer:
1 hour 12 minutes
Step-by-step explanation:
1.2 × 60 = 72 minutes
72-60 = 12 minutes
for the food described, find what percent of total calories is from fat. if necessary round to the nearest tenth of a percent
*calories: 120
* calories from fat: 45
Answers
37.5%
Explanation:
0.375
The percentage of 45 out of 120 is 38% thus 38% calories from fat.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
Given that,
Total calories = 120
Calories from fat = 45
Fraction of calories from fat = 45/120 = 0.38
Percentage of calories from fat out of total calories ⇒
(45/120) × 100 = 38%
Hence "The percentage of 45 out of 120 is 38% thus 38% calories from fat".
For more about the percentage,
brainly.com/question/13450942
#SPJ5
Which function below has the following domain and range?
Answers
Answer:
The first choice.
Step-by-step explanation:
Domain = x value (first value in a coordinate pair: (x,y))
Range = y value
A function cannot have a repeating Domain value.
This eliminates the last option since -4 is used twice.
The second option has 11 as a y value but it is not in the range.
The third option has 10 as an x value but it is not in the domain.
What is the slope of a line with the equation y-2=-3/4(x+5)?
Answers
Answer:
Gradient: m = -3/4
Step-by-step explanation:
Please view the PDF attached for full step by step explanation
how to find the sum of 12 and 36 using the gcf and distributive property
Answers
Indicate which is the largest decimal in each of the following pairs.
0.0006 and 0.006
Answers
Answer:
0.006 is the larger decimal
Answer:
0.006 is the right answer
Step-by-step explanation:
Since (0.006) has the least amount of zeros after the decimal, it would be larger than the other decimal that has more zeros after the decimal.
Madison lives between Anoa and Jamie as depicted on the line segment. The distance between Anoa's house and Madison's house is represented by 3x+2 miles, the distance between Madison's house and Jamie's house is represented by 3x+4 miles, and the distance between Anoa's house and Jamies house is represnted by 9x-3 miles. Find the value of x. Then find the distance between Madison's house and Jamie's house.
Answers
Answer:
x = 3
13 miles between Madison and Jamie's house.
Step-by-step explanation:
If we add the distance between Anoa's and Madison's house with the distance between Jamie's and Madison's house, then we get the total distance between Anoa's and Jamie's house.
(3x + 2) + (3x + 4) = 9x - 3
Let's add up the terms first
3x + 2 + 3x + 4 = 9x - 3
6x + 6 = 9x - 3
Let's move the variables to the right side by subtract 6x from both sides
6x + 6 = 9x - 3
-6x -6x
6 = 3x - 3
Add 3 to both sides
6 = 3x - 3
+3 +3
9 = 3x
Isolate the variable, x, by dividing both sides by the coefficient, 3.
9/3 = 3x/3
x = 3
Now we need to find the distance between Madison's and Jamie's house.
3x + 4
Plug in 3 in place of the x
3(3) + 4
9 + 4 = 13
Answer:
Step-by-step explanation:
If we add the distance between Anoa's and Madison's house with the distance between Jamie's and Madison's house,then we get the total distance between anoa's and Jamie's house.
6(a+2b+3c)=6, left parenthesis, a, plus, 2, b, plus, 3, c, right parenthesis, equals
Answers
I also need an explanation please
Answers
(A)
Step-by-step explanation:
The meal cost $45.25 so 20% of this for tip is
($45.25)(0.20) = $9.05. Since the tip is split between 4 friends, divide this tip by 4 and each one paid ($9.05/4) = $2.26.
Can anyone help with this please
Answers
Answer:
None
Step-by-step explanation:
Simply, the absence of s^-1 shows the answer as none
James had a peach that was 98 \text{ mm}98 mm98, start text, space, m, m, end text in diameter. One day he watered it with a magical solution, and it grew to 188{,}869 \text{ mm}188,869 mm188, comma, 869, start text, space, m, m, end text in diameter.
Approximately how many times as large did the diameter of the peach become after James watered it?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
2 \cdot10^32⋅10
3
2, dot, 10, cubed
(Choice B)
B
9 \cdot10^39⋅10
3
9, dot, 10, cubed
(Choice C)
C
2 \cdot10^42⋅10
4
2, dot, 10, start superscript, 4, end superscript
(Choice D)
D
9 \cdot10^49⋅10
4
9, dot, 10, start superscript, 4, end superscript
Answers
9514 1404 393
Answer:
A. 2×10³
Step-by-step explanation:
The ratio of diameters is ...
(189,869 mm)/(98 mm) ≈ 1927.3 ≈ 2000 = 2×10³
The diameter of the peach became about 2×10³ times as large.
Find the measure of one interior angle of a regular 16-gon.
Answers
Answer:
157.5
Step-by-step explanation:
14×180/16
= 315/2
= 157.5
Answer:
Step-by-step explanation:
16 sides
n-2=14
14x 180 = 2250
2250/16 =157.5 = 158
Evaluate the expression for the given values of the variables. x2 + 4(x − y) ÷ z2, for x = 8, y = 5, and z = 2
Answers
The answer is -624
2. The arithmetic mean of a distribution is 5. The second and the third moments about the mean are 20 and 140 respectively. Find the third moment of the distribution about 10.
Please explain the answer and workings.
Answers
Step-by-step explanation:
The arithmetic mean of a distribution is 5. The second and the third moments about the mean are 20 and 140 respectively. What is the third moment of the distribution about 10?
Call the random variable x.
Now, define a new variable y = x - 5. Note that x - 10 = y - 5.
So, it is clear that (x-10)^3 = (y-5)^3
Also, note that (y-5)^3 can be expanded as follows:
Expand (y-5)³
Result ; y³-15 y²+75 y - 125
Letting E denote expectation with respect to the random variable x, we see that
E[(y-5)^3 ] = E(y^3) -15 E(y^2) + 75 E(y) - 125
Again, recalling that y = x - 5, have
E(y^3) = 140
E(y^2) = 20
E(y) = E(x) - 5 = 5 - 5 = 0
Thus,
E[(y-5)^3 ] = 140 -15(20) + 75(0) -125 = -285
Finally, note that
E[(y-5)^3] = E[({x-5} -5)^3] = E[(x-10)^3]
So, we get E[(x-10)^3] = -285.
Help me pleaseeee help help
Answers
Answer:
Step-by-step explanation:
