Slope Formula: y2 - y1 / x2 - x1
(m and slope represent the same quantity)
m = 1 - - 5 / -4 - 0
m = 1 + 5 / -4
m = 6 / -4
m = -3/2
Now that we know the slope, we can plug the slope and one of our points into slope-intercept form (y = mx + b) and solve for b. I will be using the point (-4,1).
y = -3/2x + b
1 = -3/2(-4) + b
1 = 6 + b
b = -5
In point form, the y-intercept is (0, -5).
Therefore, to get the equation all we need to do is plug in our slope and b-value to slope-intercept form.
Equation: y = -3/2 x - 5
To check the point (-6, -14) we plug it into our equation and see if the two sides are equal.
-14 = -3/2(-6) - 5
-14 = 9 - 5
-14 = 4
-14 does not equal 4, therefore the point is NOT on the line.
Hope this helps!
Please help explanation if possible
Answer:
Step-by-step explanation:
Subtract 3x from both sides
3x - 3x - 2y = -3x + y
Combine
-2y = - 3x + 7
Divide by - 2
-2y/-2 = -3x/-2 + 7/-2
y = 3x/2 - 7/2
could anyone help with this tyy!
Part IV: Sketch the graph of y = x2 - 9x + 20. Identify the vertex and x- and y-
intercepts on your sketch. (3 points)
intercepts
y = x^2 - 9x + 20
y = (x - 5)(x - 4)
x-ints at (5, 0) and (4, 0)
y = (0 - 5)(0 - 4)
y = 20
y-int at (0, 20)
vertex
y = 1x^2 - 9x + 20
-b / 2a = 9/2(1)
vertex (4.5, y)
y = (x - 5)(x - 4)
y = (4.5 - 5)(4.5 - 4)
y = -0.5(0.5)
y = -0.25
vertex (4.5, -0.25)
i recommend using desmos if in the future you need help
Find f(2) if f(x) = (x + 1)^2
Answer:
9
Step-by-step explanation:
Plug in 2 for x
You should get f(2)=(2+1)^2
Add 2+1 inside the parenthesis to get 3
Finally do (3)^2 to get 9
What is the leading coefficient of 8 -5x+x^3-2x^4
Answer:
-2
Step-by-step explanation:
8 -5x+x^3-2x^4
Write the polynomial from highest power of x to lowest power of x
-2x^4+x^3-5x+8
The leading coefficient is the number in front of the highest power of x
-2
upon receiving your first salary, you deposited 3000 taka monthly in a fund for your future for 18 years. the fund earns 6% interest rate compounded monthly. after 18 years, you want it to make payments at the end of every quarter for five year 4.5% compounded quarterly, what is the amount of each annuity payment to you?
The Annuity payment will be "65,209.35 Taka". A further solution is provided below.
Given:
Monthly payment,
= 3000 Taka
Interest rate,
= 6% (compounded monthly)
Time,
= 18 years
The Future value will be:
→ [tex]FV = PMT\times \frac{((1+r)^{nt}-1)}{r}[/tex]
By putting the values, we get
[tex]=3000\times \frac{((1+\frac{6}{12\times 100} )^{12\times 18}-1)}{\frac{6}{12\times 100} }[/tex]
[tex]=3000\times \frac{((1+\frac{6}{1200} )^{216}-1)}{\frac{6}{1200} }[/tex]
[tex]=1,162,059.58 \ Taka[/tex]
hence,
The Annuity payment will be:
→ [tex]P=\frac{PV(\frac{r}{n\times 100} )}{1-(1+\frac{4.5}{4\times 100} )^{-4\times 5}}[/tex]
[tex]=P=\frac{PV(\frac{r}{n\times 100} )}{1-(1+\frac{4.5}{4\times 100} )^{-20}}[/tex]
By substituting all the values, we get
[tex]=65,209.35 \ Taka[/tex]
Thus the correct answer is "65,209.35 Taka".
Learn more the Annuity payment here:
https://brainly.com/question/8462185
root 6 x root 8 is equal to
Answer:
[tex]4\sqrt{3}[/tex]
Step-by-step explanation:
[tex]4\sqrt{3}[/tex] = [tex]\sqrt{6}[/tex] x [tex]\sqrt{8}[/tex]
Answer:
4 root 3 is the answer
Step-by-step explanation:
hope its help
PLEASE HELP 25 MINUTES LEFT
38
Marlene wrote an arithmetic sequence where al
=
8 and the common difference is -3.
What is a rule for the nth term of this sequence?
Answer:
D
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 8 and d = - 3 , then
[tex]a_{n}[/tex] = 8 - 3(n - 1) = 8 - 3n + 3 = - 3n + 11 → D
Please help I was asigned this for how and I am stuck
Answer:
-0.555
Step-by-step explanation:
-2/3÷12
=-2/3÷12×3/1×3
=-2/3÷36/3
=-2/3×3/36
=-2/36
=-0.0555
I got this answer but don't know how did you got -8?!
please help me is for my homework
Answer:
33.33%
Step-by-step explanation:
do divide 3÷9 and that is .333333333
and to convert a decimal to a percent you move the dot two number back so you get 33.33%
9. The scatter plot below shows the average yearly consumption of
bottled water by people in the United States starting in 1990.
18
16
14
Gallons of
Bottled
Water per
Person
12
10
1990 1992 1994 1996 1998 2000
Year
Using the line of best fit, predict the average consumption of bottled
water in the year 2000?
B) 18 gallons
A) 20 gallons
C) 20 gallons
D) 19 gallons
Find the missing side lengths
Answer:
[tex] \sin(45) = \frac{o}{h} \\ 0.7 = \frac{x}{18 \sqrt{2} } \\ 0.7 \times 18 \sqrt{2} = x \\ 0.7 \times 25.45 = x \\ 17.8 = x[/tex]
[tex] {x}^{2} + {y}^{2} =( 18 \sqrt{2} ) ^{2} \\ {17.8}^{2} + {y}^{2} = 648 \\ 316.84 + {y}^{2} = 648 \\ {y}^{2} = 648 - 316.84 \\ {y}^{2} = 331.16 \\ y = 18.19[/tex]
Show ALL STEPS You may use the Balance Strategy Game to help.
x/2+x/4=5
write brackets () in this statement to make it correct 6 + 4 x 5 - 3 = 14
Answer:
6+4*(5-3)
Step-by-step explanation:
Because of PEMDAS l, we first solve in the parantheses. So 5-3 would be 2, then we multiply 2 by 4 which would be 8 obviously. Then we do the final step, add 6 and 8 which would be 14. Cheers!
Answer: 6 + 4 × (5-3)
Explanation:
6 + 4 × (5-3) = 14
6 + 4 × 2 = 14
6 + 8 = 14
14 = 14
Must click thanks and mark brainliest
If m∠A = m∠B and m∠A + m∠C = m∠D, then
m∠B + m∠C = m∠D.
Answer:
True. The statement is also equivalent to: If m<B + m<C does not equal m<D, then m<A does not equal m<B and m<A + m<C is not equal to m<D.
Which expressions are equivalent to 2 (5x - 3/4)? click two or more answers
A) -2 (5x) + (-2) (-3/4)
B) -10x - 3/4
C) -10x + 6/2
D) -10x + 3/2
E) -10x - 6/2
What is the answer to this question i really need it asap, thank you.
Answer:
sorry I could not help you but I wish you luck
simplify : 2(3+a)+4=36
Answer this please and the first person to do it will get Branilest !! Don’t forget to explain
Answer:
[tex]3g + 9g = - 48 \\ 12g = - 48 \\ g = - \frac{48}{12} \\ g = - 4 \\ \\ - 4m - 6m - 30 = - 80 \\ - 4m - 6m = - 80 + 30 \\ - 10m = - 110 \\ m = \frac{ - 110}{ - 10} \\ m = 11 \\ \\ 12 = - 8n - 24 - 4n \\ 12 + 24 = - 8n - 4n \\ 36 = - 12n \\ n = \frac{36}{ - 12} \\ n = - 3 \\ \\ 5y + 2y + \frac{1}{2} = - \frac{1}{2 } \\ 5y + 2y = - \frac{1}{2} - \frac{1}{2} \\ 7y = - 1 \\ y = - \frac{1}{7} \\ \\ 22x + 0.25 - 16x = 0.85 \\ 22x - 16x = 0.85 - 0.25 \\ 6x = 0.6 \\ x = \frac{0.6}{6} \\ x = 0.1 \\ \\ 17k + 6k + 11 = 80 \\ 17k + 6k = 80 - 11 \\ 23k = 69 \\ k = 3[/tex]
given m(n)=2n^2-10n-14,find m(4)+m(-1)
Answer:
-24
Step-by-step explanation:
m(4)=2*4^2-10*4-14=-22
m(-1)=2*(-1)^2-10(-1)-14=-2
m(4)+m(-1)=-24
To win the annual read-a-thon at his school, Scott has to read more books than any of his classmates over winter break. He starts by reading a lot of sports books. Then, he reads 10 mystery books. In all, Scott reads 23 books for the read-a-thon.
Answer:
13 sports books and 10 unknown books is 23 books
Step-by-step explanation:
we already know scott read 23 books total, we also know that he read 10 mystery books.
subtracting 10 unknown books from 23 total books, we get 13 sports books as your answer
How do I solve part c
Answer:
A possible answer could be 2√2. It depends where points B and C would be. I guess this information was given in the parts A and B.
Step-by-step explanation:
See picture attached
If the vertex of an isosceles triangle measures 46°, what is the measure of it’s base angles?
Answer:
67°
Step-by-step explanation:
let the base angle=x
x+x+46=180
2x=180-46=134
x=134/2=67
Geometry, please answer question ASAP
Answer:
x = 60
Step-by-step explanation:
The sum of the interior angles of a quadrilateral is 360 degrees.
So if we sum up all the given angles, we would get this equation:
2x + x + 90 + 90 = 360
which simplifies to
3x + 180 = 360
subtract 180 from both sides
3x = 180
divide both sides by 3
x = 60
Answer:
Below!
Step-by-step explanation:
Since all angles in this shape add up to 360, I used this formula to find x
360 = 90 + 90 + x + 2x
360 = 180 + 3x
180 = 3x
Divide both sides by 3
60 = x
You can check to see if this works
90 + 90 + 60 + 120 = 360
Hope this helps!
Find the value of a.
Joan is cutting a roll of ribbon to be used as bows on gifts. If each bow takes 7/8 of a metre of ribbon and Joan has 7 m total of ribbon, how many bows can be made?
8x(x-2017)-2x+4034=0
Answer:
¼ và 2017
Step-by-step explanation:
What is Mary's net worth if her assets total $16000, her gross income is $45000, her student loan debt is $22000 (she has no other debts), and her annual expenses (including taxes) total $40000?
Answer:
$ 143000
Step-by-step explanation:
her net worth is her assets and income minus her debts and expenses
160000 + 45000 - 22000 - 40000 = 143000
What is the measure of m?
6
3
18
n
m =
=
[?]
Answer:
6/n = n/18
n^2 = 108
n = sqrt 108
a^2 + b^2 = c^2
36 + 108 = m^2
144 = m^2
m=12
Let me know if this helps!
Lainey runs a string of lights from the ground straight up a door that is 2.5 m tall. Then he runs the rest of the string in a straight line to a point on the ground which is 6 m from the base of the door frame. There are 10 lights per meter of the string. How many total lights are on the string?
Answer:
150 because 2.5 × 6 = 15 × 10 = 150
8.
The table shows the estimated number of deer living in a forest over a five-year period. Are the data best represented by a linear, exponential, or quadratic model? Write an equation to model the data.
A. quadratic; y = 0.79x2 + 98
B. linear; y = 0.79x + 98
C. quadratic; y = 98x2 + 0.79
D. exponential; y = 98 • 0.79x
Answer:
D. exponential; y = 98 • 0.79x
Step-by-step explanation:
Answer:
Option D is correct.
Exponential model are the data best represented.
Equation:
Step-by-step explanation:
An exponential function is in the form of .....[1] where a is the initial value and b≠0 , b > 1.
Consider any two points from the table;
(0, 98) and ( 1, 77)
Then substitute these in [1];
For (0, 98)
x = 0 and y = 98 substitute in [1] we get;
98 = a
Similarly, For (1, 77)
we have;
77 = ab
Substitute the value of a =98 we get;
Divide both sides by 98 we get;
⇒ b = 0.79
We get an equation;
Therefore, the data represent here is, Exponential function.
also, an equation to model the data is;
...............................................................................................................................................
All the functions grow with x except B that decreases when x grows. That i your function. Also check that when you divide the population of two consecutive years, the ratio remains 0.79 approx
The solution is D
...............................................................................................................................................
Exponential would be the correct answer I believe...
...............................................................................................................................................
For a better understanding of the explanation provided here please find the attachment.
The solution will employ the use of the trial and error method and basic math.
As can be see from the given data, the deer population keeps on falling from the year zero. Thus, we can safely conclude that the quadratic and the linear models will not represent the situation at all.
We are left with the exponential model and since we have in it we can see that the deer population will fall as the years pass.
We have checked it in the table that has been provided and we have concluded that the data is best represented by the exponential model because when the exponential formula is applied it is almost equal to the actual number of deers.
Please check the attached table for a better understanding.