Complete the point-slope equation of the line through (-4,8) and (4,4)
Answers
[tex]y-y_{1} = m(x-x_{1})[/tex]
First, we need to find the m value, or slope. We can do this by using this equation:
[tex]y_{2} - y_{1 }= x_{2} - x_{1}[/tex]
4 - 8 / 4 + 4 = -4/8 = -1/2
m = -1/2
Now, select one of the coordinate points, input those values and m, and solve for b.
4 = -1/2(4) + b
4 = -2 + b
Add 2 to both sides.
6 = b
y = -1/2x + 6
Now, input any number for x (I prefer 0, the y-intercept), and solve for y.
y = -1/2(0) + 6
y = 6
(0, 6)
After doing that, you can input that coordinate point into Point-Slope Form.
y - 6 = -1/2(x - 0)
Answer:
Step-by-step explanation:
Related Questions
A total of 210 people attended the opening night of a school musical. Student tickets cost $3.00 each while general admission tickets cost $7.50 each. If total sales were $1296, how many general admission tickets were sold?
Answers
To determine the number of general admission tickets sold, two equations were formed using the total number of attendees and total sales. By applying the elimination method to solve the system of equations, it was found that 148 general admission tickets were sold.
To solve this problem, we can set up two equations based on the number of people and the total sales. Let x represent the number of student tickets sold at $3.00 each, and let y represent the number of general admission tickets sold at $7.50 each. We are given that a total of 210 people attended, so:
1) x + y = 210
We are also given that the total sales were $1296, so:
2) 3x + 7.5y = 1296
We can solve this system of equations using the substitution or elimination method. For this example, I will use the elimination method. To eliminate one variable, we can multiply the first equation by 3, which gives us:
3x + 3y = 630
Now, by subtracting this new equation from the second equation, we eliminate x:
7.5y - 3y = 1296 - 630
4.5y = 666
Dividing both sides by 4.5, we find that:
y = 148
So, 148 general admission tickets were sold on the opening night of the school musical.
Solve the equation. 4p + 25 = 6(p – 3) – 3(4 – 3p)
Answers
4p+25=15p-30 Combine like terms
25=11p-30 Subtract 30 from both sides
11p=55 Divide
p=5
Help please usatestprep
Answers
Answer:
the answer is C
Step-by-step explanation:
What is the equation of a line that is parallel to −x+3y=6 and passes through the point (3, 5) ?
Answers
y=(6+x)/3
y=2+x/3
y=mx+b
y=x/3+b
so m(slope) is 1/3
use the point (3, 5), sub this for x and y
5=3/3+b
5-1=b
b=4
therefore, y=x/3+4
or y=(1/3)x+4 (you can write it like this as well)
Absolute Value equations always have 2 answers.
True
False
Answers
Read the following conjecture.
Any number that is divisible by 2 is also divisible by 8.
Find a counterexample to show that the conjecture is false
A: 16
B: 24
C: 28
D: 32
Answers
16/2 =8, 16/8 = 2
24/2 = 12, 24/8 = 3
28/2 = 14, 28/8 = 3.5
32/2 = 16, 32/8 = 4
28 isn't divisible by 8
Answer is C
Simplify. y^-3 pls help me i need this very bad
Answers
In this case, the base is y, the power is -3
y^(-3)=1/(y^3)
Write down five number pairs that are solutions to ab = 95 ab=95. (note that you can use negative numbers and fractions.)
Answers
ab = 95
There is an infinite number of pairs of (a,b).
Answer:
Here are five number pairs (they are not unique).
(a,b) = (1, 95)
= (5, 19)
= (-1, -95)
= (-5, -19)
= (5/2, 38)
what transformation has changed the parent function f(x) =log3x to its new appearance shown in the graph below
Answers
log_3(1) asks "3^? = 1," which we know is 0. So, log_3(1) = 0, which means (1,0) is a point on the graph for the parent function.
log_3(3) asks "3^? = 3" which we know is 1. So, log_3(3) = 1, which means (3,1) is a point on the graph for the parent function.
Now, we look at the graph they gave us and we see that our two points have moved upward 2 units. Now, (1,2) and (3,3). The transformation appears to be f(x) + 2, as you have selected.
Answer:
"f(x) + 2" You were correct
If we express $-2x^2 + 4x + 5$ in the form $a(x - h)^2 + k$, then what is $k$?
Answers
(a) A certain solution has a hydrogen ion concentration of 0.00000914 moles per liter. Write this number in scientific notation.
(b) A humpback whale can weigh up to ×1.1105 pounds. Write this number in standard notation.
Answers
(b) As to this one, the equation seems incomplete. What's the exponent of 10, if it says there's any exponent?
The hydrogen ion concentration can be written in scientific notation as 9.14 x 10-6 M. The weight of a humpback whale can be written in standard notation as 11,105 pounds.
Explanation:(a) The given hydrogen ion concentration of 0.00000914 moles per liter can be written in scientific notation as 9.14 x 10-6 M. To convert the number to scientific notation, we move the decimal point to the left until there is one non-zero digit to the left of the decimal point and multiply by the corresponding power of 10.
(b) The weight of a humpback whale, which is given as ×1.1105 pounds, can be written in standard notation as 11,105 pounds. To convert from scientific notation to standard notation, we move the decimal point to the right or left by the power of 10 indicated by the exponent.
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A city has 7204 recycle bins. The city gives half of the recycle bins to it's citizens. The rest of the recycle bins are divided into 23 equal groups for city parks. How many recycle bins are left over?
Answers
7204 : 2= 3602
The number of recycle bins is left:
7204 - 3602= 3602
The largest number of bins that can be given in each group:
3602 : 23 = 156 (residual: 14)
=> There are 14 bins left over.
What three different equations that have x = 5 as a solution
Answers
25/x-3=2 is another.
And the last one could be x/85+7=24
10x + 10 = 65
7x + 8(x²) = 235
hope this helps
Simplify 7x + 7 + 6x - 9.
13x - 2
13x + 2
11x
Answers
7x + 6x = 13x
7 - 9 = -2
Combine these together and you will get the following.
13 - 2 or -2 +13
Answer:
x = -2/13
Step-by-step explanation:
This is a first degree polynomial. To solve it, you need to follow these steps:
Step 1: Equate the polynomial to zero
7x + 7 + 6x - 9 = 0
Step 2: Separate all numbers that have variable "x" on one side of equality and real numbers on the other side
7x + 6x + 7-9
Note: Remember that if you are going to pass a number from side to side the equality is reversed.
Step 3: Add Both Sides
13x = -2
Step 4: Isolate the "x" Variable
x = -2/13
Find the average value of f over region
d. f(x, y) = 4x sin(y), d is enclosed by the curves y = 0, y = x2, and x = 7.
Answers
The question involves finding the average value of function f(x, y) = 4x sin(y) over a particular region. This is done using a double integral to integrate the function over the region and divide by the area of that region. The area of the region is determined using the given boundaries.
Explanation:The subject of this question is calculus, specifically dealing with a double integral to find the average value of a function over the specified region. The given function is f(x, y) = 4x sin(y), and the region d is enclosed by the curves y = 0, y = x^2, and x = 7.
To find the average value of function f over the region d, you should use the formula for the average value of a function of two variables. This is given by: Avg = (1/Area(D)) ∫∫_D f(x, y) dA
Before we can use this formula, we need to find the area of region D. This can be obtained as a simple integral from the given boundaries: Area(D) = ∫ from 0 to 7 dx ∫ from 0 to x^2 dy = ∫ from 0 to 7 x^2 dx = [x^3/3]_0^7 = 343/3
We can then proceed with the double integration by applying the appropriate limits. This is a more complex process that requires substitutions and careful calculation. After evaluating the average value, you should get a numerical solution.
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To find the average value of a function over a region, calculate the double integral of the function over that region and divide it by the area of the region.
Explanation:To find the average value of a function over a region, we need to calculate the double integral of the function over that region and then divide it by the area of the region. In this case, the region d is enclosed by the curves y = 0, y = x-2, and x = 7. We can set up the integral as follows:
So, the average value of f over region d is 1.12.
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I really need help with these questions. What will these word problems look like?
A. The perimeter, P, of a rectangle is the sum of twice the length and twice the width.
1. P = 2(l+w) units
2. P = 2(5)+2(9) units
3. P = 4x units
4. P = (l+l)+(w+w) units
5. P = 2(x+3) units
B. The area, A, of a triangle is one-half the product of the triangle's base and height.
1. A = 1/2 (b+h)
2. A = 1/2(12)(5)
3. A = 1/2(b*h)
4. A = (x + y)/2
5. A = x^2/2
There is more than one answer to each problem. I will award brainliest answer, I really could use some help with this.
Answers
answer
1. P = 2(l+w) units
2. P = 2(5)+2(9) units
4. P = (l+l)+(w+w) units
B. The area, A, of a triangle is one-half the product of the triangle's base and height.
answer
2. A = 1/2(12)(5)
3. A = 1/2(b*h)
Given that h(x) = 3x −19, find the value of x that makes h(x) = 71. (5 points)
30
43
52
194
Answers
3x - 19 + 19 = 71 + 19
3x + 0 = 90
x = 90/3 = 30
How do you write 180% as a fraction or mixed number in simplest form?
Answers
To write 180% as a fraction or mixed number in simplest form, convert the percent to a fraction with a denominator of 100 and simplify the fraction. The simplified fraction is 9/5 or the mixed number is 1 and 4/5.
Explanation:To convert a percent to a fraction or mixed number in simplest form, we need to write the percent as a fraction with a denominator of 100 and then simplify it. In this case, 180% can be written as 180/100. To simplify, we divide both the numerator and denominator by their greatest common divisor, which is 20. So, the simplified fraction is 9/5. This fraction can also be expressed as a mixed number by dividing the numerator by the denominator. Since 9 is greater than 5, the mixed number is 1 and 4/5.
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what is the quotient of 5/6 divided by 3/4
Answers
1 1/9 is the answer
I know this because I just had to do the same problem and that was the answer
help??
Look at the following numbers:
–6, 0, 6, 12
Which pair of numbers has a sum of 0?
6, 12
0, 6
–6, 0
6, –6
Answers
The table below represents the displacement of a bird from its nest as a function of time:
Time
(hours)
x Displacement
from nest
(miles)
y
0 12
1 20
2 28
3 36
4 44
Part A: What is the y-intercept of the function, and what does this tell you about the bird? (4 points)
Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points)
Part C: What would be the domain of the function if the bird continued to fly at this rate until it traveled 172 miles from the nest? (2 points)
Please Help Fast!!!!
Answers
To find the average rate of change of the function, take the change in y between x=1 and x=3 and divide by 2.
(36 - 20) / 2 = 16/2 = 8 miles / hour .
The domain of the function is the range of x for which y is a real number. We see in the chart provided that the bird travels 8 miles every hour.
How many hours will it take to travel 172 miles from the nest? The bird started at 12, so let's so how long it takes to travel 172 - 12 = 160 miles, moving at a rate of 8 miles/hour.
160 miles / 8mph = 20 hours
The domain of the function, the time range in which the bird travels 172 miles from the nest, will be 0 ≤ x ≤ 20
I'm not quite sure about this one. Can someone help? -Concept: Logs-
Answers
The correct answer is option 1
Here is how it looks like on mine. Check the picture
I believe the answer is the 1st one..
Here's what I got. (pic below)
Have a good weekend! ☺♥
According to the rules of significant figures:
1 • 225 = 200
A. True
B. False
Answers
If 4 grams of water vapor are present in a cubic meter of air that can hold a maximum of 10 grams, the ________________ is 40 percent.If
Answers
Given the following functions f(x) and g(x), describe the changes (horizontal shifts, vertical shifts, etc.) to the graph of g(x) with respect to the graph of f(x).
f ( x ) = | x | g ( x ) = - | x + 3 | -2
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So, first you have to subtract 2 (in other words the line will go two to the right).
Second, you have to add 3 and then take the absolute value, so it will move three up and curve up too. Hope this helped!
Will give brainliest if correct.
Answers
How do I solve a quadratic equation using the Quadratic Formula?
Answers
A standard quadratic equation is in this form; ax²+bx+c=0
The quadratic function is [tex] \frac{-b+- \sqrt{b x^{2} -4ac} }{2a} [/tex]
Insert the values of a, b and c into this equation to find out the roots.
Hope I helped :)
In the xy-plane, if the parabola wiry equation y=ax^2+bx+c, where a, b, and c are constants, passes through the point (-1,1), which of the following must be true?
A) a-b=1
B) -b+c=1
C) a+b+c=1
D) a-b+c=1
Please help ;(
Answers
again:a-b+c=1
The correct option will be "option D".
It is given that in the x-y plane, parabola with equation y=ax² + bx + c , passes through point (-1,1).
We have to check which equation is most suitable.
What is parabola ?
The graph of a quadratic equation in two variables (y=ax² + bx + c) is called a parabola.
Parabola has the equation ,
y = ax² + bx + c --------- Equation (1)
At point (−1, 1)
x = -1 and y = 1
Substitute the values of x and y in the equation (1).
i.e., y = ax² + bx + c
1 = a × (-1)² + b× (-1) + c
1 = a × (1) - b + c
1 = a - b + c
Thus, in x-y plane at point (1,-1) , equation will be , a - b + c = 1.
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Describe the end behavior of the function:
y = x3 + 3x2 - 2x + 4
a)left - rises, right - falls
b)left - rises, right - rises
c)left - falls, right - falls
d)left - falls, right - rises
Answers
See the picture I added.
Therefore, the answer must be D.
Hope this helps
What happens when you multiply a fraction by its reciprocal?
Answers
(1/2)/(3/4)=(1/2)*(4/3)=4/6=2/3