Answers
standard equation: y-y1 = m(x-x1)
point given: (6,3)
slope given: 5/3
equation: y-3 = 5/3(x-6)
choice b
Given: passes though (6,3) and m=(5/3).
Ok so we know that y = mx + b is the equation of a line and we have m and we can find b via substitution.
y = mx + b
3 = (5/3)(6) + b
3 - (5/3)(6) = b
b = -7
Great now we know b so we can construct the rest of the linear function.
y = f(x) = (5/3)(x) - 7
You can always check the answer by plugging 6 into the x variable.
f(6) = (5/3)(6) - 7 = 3
(6,3) checks out.
Related Questions
Is (x + 6) a factor of f(x) = x3 − 3x2 + 2x − 8? Show how to use either the remainder theorem or the factor theorem to explain your reasoning.
Answers
Answer:
x + 6 is not a factor of f ( x ) = x³ - 3x² + 2x - 8 because when -6 is substituted into the function, the answer is not 0.
Step-by-step explanation:
→ Substitute x = -6 into f ( x )
( 6 )³ - 3 × ( 6 )² + ( 2 × 6) - 8
→ Simplify
216 - 108 + 12 - 8
→ Simplify further
112
Which of the expressions are equivalent to the one below? Check all that apply. (8 + 3) + 4 O = A. (8 + 4) = 3 B. 8. (3 + 4) OC. (3 + 8) = 4 O 8) D. (3 + 4) : (8 + 4) SUBMIT
Answers
Answer:
C
Step-by-step explanation:
known by checking all the answers for chooses
A pollutant breaks down at a rate of 2% a year. What fraction of the current amount will be present in 20 years? Let X(0) = 1.
Answers
Answer:
Step-by-step explanation:
X = 1(1 - 0.02)ⁿ
X = 1(0.98)²⁰
X = 0.6676
67%
Using an exponential equation, it is found that 66.76% of the current amount will be present in 20 years.
A decaying exponential function has the following format:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(t) is the initial value.r is the decay rate, as a decimal.In this problem, breaks down at a rate of 2% a year, hence [tex]r = 0.02[/tex], and:
[tex]A(t) = A(0)(1 - 0.02)^t[/tex]
[tex]A(t) = A(0)(0.98)^t[/tex]
The fraction after 20 years is A(20), hence:
[tex]A(20) = A(0)(0.98)^{20}[/tex]
[tex]A(20) = 0.6676[/tex]
66.76% of the current amount will be present in 20 years.
A similar problem is given at https://brainly.com/question/14773454
Work out the missing numbers
-6x_= -30
-6x_= 0
-6x _=18
_x-6= -54
Answers
Answer:
1. 5
2. 0
3. -3
4. -38
Step-by-step explanation:
from 1 to 4 i answered and solved hope its helpful
The product of two consecutive even integers is 6 more than 3 times their sum. The integers are: a. 6,8 b. 16, 20 12, 16 d. 20, 24 C.
Answers
Answer:
a. 6,8
Step-by-step explanation:
The only offered answer choice that lists consecutive even integers is ...
a. 6,8
_____
Consecutive even integers differ by 2, not 4.
__
Check
The product is 6×8 = 48.
Three times the sum is 3(6+8) = 3(14) = 42.
The product is 6 more than 3 times the sum. 42+6 = 48
If (-3)-5=1/xwhat is the value of x?
Answers
Option A
Option A -243
if any doubt leave a comment and don't forget to give BRAINLIEST
Evaluate the expression using the values given.
4y(y + x); use x= 3/2, and y = -5/4
Answers
Answer:
-5/4 or -1 1/4
Step-by-step explanation:
Okay! We'll take this problem one part at a time so that the process is less confusing and less difficult. Here's what our expression looks like when we replace x with 3/2 and y with -5/4:
[tex]4(-\frac{5}{4} )(\frac{3}{2} +-\frac{5}{4} )[/tex]
Looks a little scary! We can start by working within the parentheses and adding the two fractions together. First, we have to make each fraction have the same denominator, so we can multiply each fraction by 3/2 to get both our fractions a denominator of 4.
[tex]\frac{3}{2} *\frac{2}{2} =\frac{6}{4}[/tex]
[tex]\frac{6}{4} + -\frac{5}{4} =\frac{1}{4}[/tex]
Now, our expression is a little easier to work with. It looks like this now:
[tex]4(-\frac{5}{4} )(\frac{1}{4})[/tex]
First, let's multiply 4 by -5/4. Then, we'll take that product and multiply it by 1/4 to get our final answer.
[tex]\frac{4}{1} * -\frac{5}{4} =-\frac{20}{4} =-5[/tex]
Alright, this is our simplest expression yet. What's -5 times 1/4?
[tex]-\frac{5}{1} * \frac{1}{4} =-\frac{5}{4}=-1\frac{1}{4}[/tex]
So our answer is -5/4, or -1 1/4. Hopefully that's helpful! :)
whats the answer can someone answer please
Answers
Answer:
both are c
Step-by-step explanation:
What did you notice about the sums of 7 + (–3) and –3 + 7?
Answers
Step-by-step explanation:
Sum of 7 + (-3) = 7 +.- 3 = 7 - 3 = 4
( As + × - = -)
Sum of -3+7 = 4
We observe that both are same .
Answer:
they both give the same answer
Step-by-step explanation:
7+(_3)=+4
_3+7=+4
The width of a rectangle is 6 kilometers
a
less than twice its length. If its area is
56 square kilometers, find the
dimensions of the rectangle.
Answers
Answer:
9,333333333333333 and 6 Km
Step-by-step explanation:
The width of a rectangle is 6 kilometers
less than twice its length. If its area is
56 square kilometers, find the
dimensions of the rectangle.
the area of the rectangle is found by multiplying the width by the height, you have the area and the width, divide the area by the width and find the length
56 : 6 = 9,333333333333333 Km
-----------------------------
check
9,333333333333333 * 6 = 56
the answer is good
please help struggling a lot!
Answers
Answer:
- 162, 486, - 1458
Step-by-step explanation:
To find the next term in a geometric sequence , multiply the previous term by the common ratio r
r = [tex]\frac{T_{2} }{T_{1} }[/tex] = [tex]\frac{-18}{6}[/tex] = - 3 , then
T₄ = T₃ × - 3 = 54 × - 3 = - 162
T₅ = T₄ × - 3 = 486
T₆ = T₅ × - 3 = - 1458
What is the lcm of 24, 18, and 6
Answers
we have 24= 2^3 x 3 ; 18=2 x 3^2 ; 6=2 x 3
so LCM of 24, 18, 6 is 2^3 x 3^2 = 72
ok done. Thank to me :>
5.
Identify the axis of symmetry of the parabola.
A. y = −1
B. x = −1
C. x = 1
D. y = 1
Answers
Answer:
B. x = −1
Step-by-step explanation:
In the graph, the vertex of the parabola hits point (-1,-2). Therefore, the axis of symmetry is x = -1. It is not y = -2, since the parabola opens vertically, not horizontally.
The ratio of the measures of the sides of a triangle is
9:10:4. If the perimeter of the triangle is 276 inches, find
the length of the shortest side.
X =
=
Length of shortest side =
Answers
Answer:
X = 48 inches for the shortest side
Step-by-step explanation:
9s = first side
10s = second side
4s = third side
Perimeter = sum of the sides
276 = 9s + 10s + 4s
276 = 23s
276/23 = s
12 = s
9s = first side; 9(12) = 108
10s = second side; 10(12) = 120
4s = third side; 4(12) = 48
A line contains the points (1, 2) and (0,1). What is the equation of the line?
Answers
Answer:
y = x + 1
Step-by-step explanation:
Slope: (1-2)/(0-1) = -1/-1 = 1
y-intercept: 1 - (-2)(0) = 1
y = x + 1
Evaluate (32 – 1)when z = 6
Answers
Answer:
17
Step-by-step explanation:
(3z - 1) when z = 6
Let's plug in 6 into the equation (3(6)-1)
Now we multiply the parenthesis (18-1)
Now we subtract (17)
So the answer is 17!
3. A certain container of mouthwash usually costs $2.99 at a store. If it is on sale for 20% off how much does the mouthwash cost now?
A. $2.75
B. $2.77
C. $2.40
D. $3.74
Answers
Answer:
the answer is D Because
Step-by-step explanation:
so I will say about $3.74
Write an equation for the hangers below and solve (will give brainless if correct!)
Answers
Answer:
1) 5x+2=17
2) 5(2+x)=17
Step-by-step explanation:
1) subtract 2 from both of the sides, then you get 5x=15. Divide 5 on both sides, then you get X=3
2) Use distributive property and multiply 5 and 2 and you get 10, then do the same thing with the x. You should get 10+5x=17. Subtract 10 from both sides. Then you are left with 5x=17, divide 5 on both sides you should get x=7/5
Hope this helps!
)) Type the missing numbers in this sequence: -3, -8, -13, -18,
Answers
Answer:
23
Step-by-step explanation:
first off if your to take away 3 from 8 you'd get five and the same goes for the rest
I.e
8-3=5
13-8=5
18+5=23
as 23 -18 would give you you 5
What ordered pair describes the location of point A?
Enter your answer by filling in the boxes.
HELP ASAP
Answers
A caterer needs between 42 and 50
cupcakes for dessert. Name two possible
numbers between 42 and 50 that are
multiples of 4. Explain.
Answers
Answer:
404 & 408
Step-by-step explanation:
A car travelling at a constant speed covers 585 km in 9 hours. In how much time will it cover in 520 km? I want the answer in direct or inverse proportion.
Answers
Answer:
It took eight hours to travel 520km
Step-by-step explanation:
Write the equation of the line that passes through (-2, 4) and is perpendicular to x = 3.
Answers
Check the picture below.
2
Select the correct answer.
Which statement is true about this equation?
-412p+5) + Bp=-11
A. The equation has one solution, p=2.
B. The equation has one solution, p=-2.
C. The equation has no solution.
D. The equation has infinitely many solutions.
Answers
Step-by-step explanation:
The equation has infinite solution p=2 that's tour variable
Please take a look at the picture.
Answers
Answer:
B, and A
Step-by-step explanation:
big brain time
Anita is filling a small pool for her kids. Currently, there are 60 gallons of water in the pool and she is filling
the pool at a rate of 50 gallons every 5 minutes. The pool holds 200 gallons of water.
Which equation represents the amount of minutes (m) that it will take to fill the pool?
A. -10m + 200 = 60
B. -50m + 200 = 60
C.-10m + 140 = 60
D. -50m + 140 = 60
Answers
Answer:
M/140 = 50/60 or C
Step-by-step explanation:
Since the total is 200 it will be the denominator but we already have 60 gallons so we do 200-60=140
the ratio is 50 per 60
HELPPPP!!!!!!!!!!!!!!
Answers
Answer:
B
Step-by-step explanation:
125/29.35=4.409171076
4.409171076 is rounded to 4.41
Solve the Quadratic
2x^2–5x-8=0
Solution 1:
Solution 2:
Answers
[tex]2x^2 -5x-8 =0\\\\\implies x = \dfrac{ -(-5) \pm \sqrt{(-5)^2 - 4\cdot 2 \cdot (-8)}}{2 \cdot 2}\\\\\\\implies x = \dfrac{5 \pm \sqrt{89}}{4}\\\\\\\text{Hence}~ x = \dfrac{5 + \sqrt{89}}{4},~~ x = \dfrac{5 - \sqrt{89}}{4}[/tex]
Answer:
[tex]\sf \boxed{\sf x=\frac{5+\sqrt{89}}{4}}[/tex]
[tex]\sf \boxed{\sf x=\frac{5-\sqrt{89}}{4}}[/tex]
✰Step-by-step explanation✰ ⤵[tex]\sf 2x^2-5x-8=0[/tex]
☁ We'll solve this equation using The Quadratic Formula:
[tex]\boxed{\sf \cfrac{-b\pm \sqrt{b^2-4ac}}{2a}}[/tex]
A= 2, b= -5, c= -8
[tex]\sf x=\cfrac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\times \:2\left(-8\right)}}{2\times \:2}[/tex]
[tex]\mapsto \sf \sqrt{\left(-5\right)^2-4\times \:2\left(-8\right)}[/tex]
[tex]**\sf \left(-5\right)^2=5^2[/tex]
[tex]\mapsto \sf \sqrt{5^2+4\times \:2\times \:8}[/tex]
[tex]\mapsto \sf \sqrt{5^2+64}[/tex]
[tex]\mapsto \sf \sqrt{89}[/tex]
______________
[tex]\sf x=\cfrac{-\left(-5\right)\pm \sqrt{89}}{2\times \:2}[/tex]
☁ Now, we'll Separate solutions, first, we'll solve the equation when ± is plus:
[tex]\mapsto \sf \cfrac{-\left(-5\right)+\sqrt{89}}{2\times \:2}[/tex]
☁ Multiply 2*2 =4
[tex]\boxed{\sf \cfrac{5+\sqrt{89}}{4}}[/tex]
_________________
☁ Now solve the equation when ± is minus:
[tex]\mapsto \sf \cfrac{-\left(-5\right)-\sqrt{89}}{2\times \:2}[/tex]
☁ Multiply 2*2 =4
[tex]\boxed{\sf \cfrac{5-\sqrt{89}}{4}}[/tex]
[tex]\sf Solution \:1:\boxed{\sf x=\frac{5+\sqrt{89}}{4}}[/tex]
[tex]\sf Solution \:2:\boxed{\sf x=\frac{5-\sqrt{89}}{4}}[/tex]
☁❅☁❅☁☁❅☁❅☁☁❅☁❅☁❅☁
Learn more: https://brainly.com/question/22286698
PLEASE HELP WITH THIS ONE QUESTION
Answers
Answer:
Step-by-step explanation:
x = 2
Write the equation of a line that has a
slope of 7, and passes through the
point (-2,5). Show your work.
Answers
Answer: Y=7x+19
Step-by-step explanation:
got no time for explain hope this helper
9514 1404 393
Answer:
y -5 = 7(x +2)
Step-by-step explanation:
Values for the slope and a point are given. That makes it convenient to use the point-slope form of the equation for a line:
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -5 = 7(x +2) . . . . . . line with slope 7 through point (-2, 5)
__
Sometimes, you want the slope-intercept form of the equation. That can be found by solving for y
y -5 = 7x +14 . . . . . . . . eliminate parentheses
y = 7x +19 . . . . . . . . . . add 5 to both sides
__
In standard form, the same line has equation ...
7x -y = -19