We want to write the equation of the line passing through these two points in standard form.
First, we are going to do this in slope intercept form and then change the form to standard form, which is Ax + By = C
We will use the equation y = mx + b, and since we are given two points on the line we are going to determine the slope of the line by determining the change in the y coordinates
m = y sub2 - y sub1 divided by the change in the X coordinates x sub2 – x sub1
We will start by determining the slope
(1, -6) the 1 is x sub 1 and the 6 is y sub 1
(-7, 2) the -7 is x sub 2 and the 2 is y sub 2
2 - (-6) = 8
-7 -1 = -8
so equation now is m = -1
So now again referring back to the slope intercept of the line we now know y = -1 + b. We still have to determine b and the y intercept, and we can do this by using one of the given points and substituting in the value for y and x, and then solve for b. Since these points are on the line, they must satisfy this equation. If we use the first coordinates, we would substitute 1 for x and -6 for y.
-6 = -1 times x, which is 1 + b
b = -5
construct the line equation y = mx + b where m = -1 & b = -5
In slope intercept form the equation would be y = -x - 5
Now we want to write this in standard form now. We have to deal with two things. The x and y terms have to be on the left side and A and B and C have to be integers.
The standard form of a linear equation is Ax + By=CA x + By = C . Move all terms containing variables to the left side of the equation.
Add x to both sides of the equation.
y + x = -5
Reorder y & x
x + y = -5
Solve for x: 1 over 3 (2x − 8) = 4.
2
6
10
Answer:
the answer is x= 10
Step-by-step explanation:
A teacher wanted to prevent students from guessing answers on a multiple-choice test. The teacher graded 5 points for a correct answer, 0 points for no answer, and -2 points for a wrong answer. Kendall answered 13 questions correctly, left 2 blank, and had 6 wrong answers. He also received 4 extra credit points. What was his final score?
Answer:
57
Step-by-step explanation:
13 x 5= 65
2 x 0= 0
6 x -2= -12
4
add
57
Convert to higher terms.
3/15
?/30
Answer:
I would assume its 6/30. and the fact your asking this dumb of a question means you need to study first grade math instead of being on brainly.
help me pleaseeeeee somebody !!!
Answer:
Function f is symmetric around point (4, -1). This point is the minimum of the function f
Step-by-step explanation:
The vertex-form of the quadratic function is y = a(x - h)² + k, where
a is the coefficient of x²(h, k) are the coordinates of its vertex pointThe graph of the quadratic function is a parabola symmetric at the vertex point (h, k), which is the lowest or the highest on the graphIf the vertex is the lowest point then, it is minimum, if it is the highest point, then it is maximumLet us solve the question
→ From the given graph
∵ The graph represents a quadratic function f(x)
∵ It has the lowest vertex
∴ The vertex is minimum
∵ The coordinates of the vertex are (4, -1)
∵ The is symmetric around the vertex point
∴ The function is symmetric around point (4, -1)
Function f is symmetric around point (4, -1). This point is the minimum of the function f
How much combined 87.8 and 17.3
Answer:
105.1
Step-by-step explanation:
87.8+17.3=105.1
7
Raul went to the store and bought 2.5 pounds of chicken for $10.00. What was the
cost per pound of the chicken? Round your answer to the nearest cent, if necessary.
(5 Points)
*
A. $3.00
O B. $4.00
C. $0.56
D. $2.6
the answer for this is A because I calculated it
Answer:
4 dollars
Step-by-step explanation
Write a real world example, then solve.
5x + 4 = 2x +14
Answer:
x=10/3
Step-by-step explanation:
Answer: 10/3
Step-by-step explanation:
Let's solve your equation step-by-step.
Step 1: Subtract 2x from both sides.
Step 2: Subtract 4 from both sides.
Step 3: Divide both sides by 3.
A six-sided number cube is rolled twice.
Choose all of the dependent events.
A. The event that the first roll is a 3 or 4, and the event that the sum of the rolls is greater than 7.
B. The event that the first roll is greater than 3, and the event that the second roll is less than 3.
C. The event that the first rollis even, and the event that the second roll is also even.
D. The event that the first rollis odd, and the event that the sum of the rolls is 8.
E. The event that the first rollis odd, and the event that the second roll is a 1.
Answer: A and D
Step-by-step explanation:
Dependent events mean that one event depends on the outcome of the previous event.
A) If the first roll is a 3, and we want to sum more than 7 with the second roll, then the possible outcomes 5 and 6. Now if the first roll is 4, then the possible outcomes for the second event will be 4, 5 and 6. So you can see how the outcome space of the second event changes depending on the first event, so the events are dependent.
B) Here we do not have dependence, each event only depends on it's own outcome.
C) Again, both events only depend on it's own outcome, so the events are not dependent.
D) This is similar as the case for A, these events are dependent because is not the same if the outcome of the first event is 3, than if the outcome is 5 (the outcome needed for the second roll changes depending on the outcome of the first event)
E) Same as B and C, the events are independent.
What is the standard form of the equation of the line through (6, –3) with a slope of 2/3? a. 2x – 3y = 21 b. 3x – 2y = –21 c. –2x + 3y = 24 d. 3x – 2y = 24
Answer:
i think its b
Step-by-step explanation:
im so sorry if im wrong
0.09 divided by 1.053
Answer:
0.085 round to the nearest thousandth
Answer:
[tex]\frac{10}{117}[/tex]
Step-by-step explanation:
Convert the decimal into a fraction
9/100 ÷ 1.053
Convert the decimal into a fraction
9/100 ÷ 1053/1000
To divide by a fraction, multiply by the reciprocal of that fraction
9/100 × 1000/1053
Reduce the number with the greatest common factor 100
9 × 10/1053
Reduce the number with the greatest common factor 9
10/117
Solution
10/117
Alternate form
0.85470
The height y (in feet) of a baseball t seconds after it is hit can be modeled by the function y = −16t2 + 96t + 3. About how long does it take to hit the ground?
Answer:
6.03 seconds
Step-by-step explanation:
Given
[tex]y = -16t\² + 96t + 3[/tex]
To solve this, we simply set the height to 0.
i.e. [tex]y = 0[/tex]
So, we have:
[tex]-16t\² + 96t + 3 = 0[/tex]
Solve using quadratic formula.
[tex]t = \frac{-b+-\sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = -16[/tex]
[tex]b = 96[/tex]
[tex]c = 3[/tex]
[tex]t = \frac{-96+-\sqrt{96^2 - 4 * -16 * 3}}{2 * -16}[/tex]
[tex]t = \frac{-96+-\sqrt{9216 +192}}{-32}[/tex]
[tex]t = \frac{-96+-\sqrt{9408}}{-32}[/tex]
[tex]t = \frac{-96+-96.9948452239}{-32}[/tex]
[tex]t = \frac{-96+96.9948452239}{-32}[/tex] or [tex]t = \frac{-96-96.9948452239}{-32}[/tex]
[tex]t = \frac{0.9948452239}{-32}[/tex] or [tex]t = \frac{-192.994845224}{-32}[/tex]
[tex]t = -0.031088913245535[/tex] or [tex]t = 6.0310889132455[/tex]
Since time can't be negative, we have:
[tex]t = 6.0310889132455[/tex]
[tex]t = 6.03\ seconds[/tex] (approximated)
Answer:
last graph
Step-by-step explanation:
Fawn ran a 5-kilometer race in 66 minutes. To the nearest hundredth, what was her speed in meters per second?
A.
1.26
B.
0.08
C.
0.13
D.
75.76
5 km = 5000 meters
66 minutes = 3960 seconds
Meters per second = 5000/3960 = 1.26
The answer is A.1.26
If x = 3 solve x-(-4) =
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Replace x with the given value and solve.
[tex]x-(-4)\\\\3-(-4)\\\\3+4\\\\\boxed{7}[/tex]
Hope this helps.
100 POINTS How many fractions are there between any two numbers on a number line?
5
20
100
an infinite number
Answer: an infinite number
There can be more than 100 fractions between two numbers on a number line. There can be 1/250, too. The answer is infinite number.
Answer:
" Between 0 and 1 there is 12, between 1 and 2 there is 112=3/2, and so on"
Step-by-step explanation:
Match each set notation to its equivalent in interval notation.
Answer:
See Explanation
Step-by-step explanation:
[tex] \{ x|x < - 3\} \implies( - \infty, \: - 3) \\ \\ \{ x|x \geqslant 2\} \implies [2, \: \infty) \\ \\ \{ x|x < 0\} \implies( - \infty, \: 0) \\ \\ \{ x| - 2 < x \leqslant 5\} \implies( - 2, \: 5] \\ \\ \{ x| - 2 < x < 5\} \implies( - 2, \: 5) \\ [/tex]
The school cafeteria sells three different types of sandwiches: chicken, turkey,
and roast beef. Chicken sandwiches sell for $3, turkey sandwiches sell for
$3.50, and roast beef sandwiches sell for $4. The cafeteria makes 400
sandwiches in total, and, if all sandwiches are sold, the cafeteria will take in
$1375. If the cafeteria makes the same number of chicken sandwiches as it
does turkey sandwiches, how many of each type of sandwich does the school
make? (Hint: Write one equation for the number of sandwiches, one equation
for to amount of money all the sandwiches cost, and an equation that show the
number of chicken and turkey sandwiches are equal.)
No
Answer:
Number of chicken sandwiches = 150
Number of turkey sandwiches = 150
Number of roast beef sandwiches= 100
Step-by-step explanation:
We are told the school cafeteriat makes and sells 3 different types of sandwiches which are; chicken, turkey and roast beef.
Let chicken be x, turkey be y and roast beef be z.
We are told they make 400 sandwiches in total.
Thus;
x + y + z = 400
However, we are told that the cafeteria makes same number of chicken and turkey sandwiches.
Thus, x = y
Thus;
Total is now;
x + x + z = 400
2x + z = 400 - - - (eq 1)
Now,we are told that chicken, turkey and roast beef sandwiches are sold for $3, $3.5 and $4 respectively. Also that the total amount realized from sales is $1375.
Thus;
3x + 3.5y + 4z = 1375
Since x = y. Thus;
3x + 3.5x + 4z = 1375
6.5x + 4z = 1375 - - - (eq 2)
Let's make z the subject in eq 1.
Thus;
z = 400 - 2x - - - (eq 3)
Putting 400 - 2x for z in eq(2) gives us;
6.5x + 4(400 - 2x) = 1375
6.5x + 1600 - 8x = 1375
1600 - 1375 = 8x - 6.5x
225 = 1.5x
x = 225/1.5
x = 150
Putting 150 for x in eq 3 gives;
z = 400 - 2(150)
z = 400 - 300
z = 100
Since x = y. Then y = 150
determine whether the following graph represents a function
Answer:
it is not a function
Step-by-step explanation:
yall a Chef Boyardee Beefaroni = $0.88 if I buy 4 of them how much money i need???
Answer:
$3.52
Step-by-step explanation:
$0.88 x 4 = $3.52
(I love Chef Boyardee stuff)
Hope this helped :)
Please consider Brainliest :)
Look at pictures help please 11 points
Answer:
negative 70 (-70)
Step-by-step explanation:
below sea level, so below zero, would be -70
Answer:
-70
Step-by-step explanation:
Its below it would be in the negatives
I borrowed $1,000 for 5 years with 7.5%
simple interest per year. What is
the equation to find how much simple
interest is paid?
Answer:
(1000*5)= 5000*.075= 375. then 5000+375=5,375
Is (-4, 15) a solution to the equation y = -2x + 5? How do you know (PLEASE EXPLAIN HOW YOU KNOW)?
Answer:
Not a solution.
General Formulas and Concepts:
Order of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Define
y = -2x + 5
Solution (-4, 15)
Step 2: Check
Substitute: 15 = -2(-4) + 5Multiply: 15 = 8 + 5Add: 15 ≠ 13Here we see that 15 is NOT equal to 13. Therefore, it is NOT a solution to the equation.
I WILL GIVE YOU BRAINLIEST
Answer:
lol thats unclear
Step-by-step explanation:
ssadfa dwa0w 23w dsac 62wa6 w
what is the value of the expression 12 - k
if k = (-3)
Answer:
15
Step-by-step explanation:
12-k
12- (-3)
12+3
=15
Answer:
15
Step-by-step explanation:
Substitute the variable, "k" into "12-k" from the equation "k=(-3).
12-k
12-(-3)
12+3---> two negatives make a positive
15
What is the value of the expression below when z = 32
Answer:
65
Step-by-step explanation:
Mrs. Flossie is hosting a trivia contest for 40 students and 24 staff members. To be fair mrs. Flossie wants there to be the same number of students and the same number of staff members on each team. What is the greatest number of teams mrs flossi can make
Answer:
8
Step-by-step explanation: because the GCF of 40 and 24 is 8
Flossie needs 8 student and 8 staff for same number of staff members on each team.
Greatest common factor based ptroblem:Number of student = 40 student
Number of staff members = 24 staff
Flossie wants there to be the same number of students and the same number of staff members on each team so, Flossie needs GCF
GCF of 40 student and 24 staff
GCF of 40 and 24 = 8
Find out more infomartion about 'GCF'.
https://brainly.com/question/11444998?referrer=searchResults
If x is to 9 as 8 is to 12, then x is equal to what?
Answer:
x=6
Step-by-step explanation:
We can write ratios to solve
x 8
----- = -----------
9 12
Using cross products
12x = 8*9
12x = 72
Divide by 12
x = 72/12
x =6Answer:
x=6
Step-by-step explanation:
We can write ratios to solve
x 8
----- = -----------
9 12
Using cross products
12x = 8*9
12x = 72
Divide by 12
x = 72/12
x =6 uwu
Answer:
hey.........
Step-by-step explanation:
Just wanted to let you know, I'm sorry for offending U by the Chinese thing and everyone...........
Apologies, Graeme.......
Solve the multistep inequality.
4x + 3 < 5x − 6
Answer:
x > 9
Step-by-step explanation:
Isolate the variable, x. Treat the < as an equal sign, what you do to one side, you do to the other.
First, subtract 5x and 3 from both sides of the inequality:
4x (-5x) + 3 (-3) < 5x (-5x) - 6 (-3)
4x - 5x < -6 - 3
-x < -9
Isolate the variable, x. Divide -1 from both sides. Note that when you divide or multiply by a negative number, you must flip the sign:
(-x)/-1 < (-9)/-1
x < -9/-1
x > 9
x > 9 is your answer.
~
Answer:
x > 9
Step-by-step explanation:
4x + 3 < 5x − 6
-x < -9
x > 9
A city has a population of 38,802,500. Estimate this number as the product of a single digit and a power of 10.
I need help with scientific notations 9.691 x 10^7
Answer: 9.691x107
Simplifies to:
9.691x10000000
=9.691x10000000
Step-by-step explanation: haha hopes this helps!
r/10+15=60 what is r
Answer:
I think 35 is R
Step-by-step explanation:
10+15=25 and 60-25 is 35.
