Given:
The table of values is
x y
-4 2
-3 5
-2 8
-1 11
To find:
The slope of the line that contains these points.
Solution:
From the given table consider any two point.
Let the line passes through the points (-4,2) and (-3,5). So, the equation of the line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-2=\dfrac{5-2}{-3-(-4)}(x-(-4))[/tex]
[tex]y-2=\dfrac{3}{-3+4}(x+4)[/tex]
[tex]y-2=\dfrac{3}{1}(x+4)[/tex]
Using distributive property, we get
[tex]y-2=3x+12[/tex]
[tex]y=3x+12+2[/tex]
[tex]y=3x+14[/tex]
Therefore, the required equation of line is [tex]y=3x+14[/tex].
Answer: The slope is 1/5.
Step-by-step explanation:
You can find the answer by subtracting 6-1, (5) and 0-1,(1), which shows you 1/5. (Explanation sucks, sorry)
:)
OFFERING BRAINLIEST !! Using the formula, compute the true annual interest rate to the nearest tenth.
[tex]Interest (I) = \frac{2yc}{m(n+1)}[/tex]
Loan amount = $9,500
Monthly payments = $227.50
Time of loan contract = 5 years
Interest rate = ____%
Answer:
Step-by-step explanation:
5x12=60
(227.5x5x120)=13650
13650-9500=4150
apply formula
(2x12x4150)/((13650(60+1))=0.1196
0.1196x100=11.96% 0r 12%
Answer:
17.2%
Step-by-step explanation:
given that:
y = 12 months
m = $9,500
n = 60 (because five years is 60 months)
c = (n * $227.50) - m
= (60 * $227.50) - $9,500
c = 4,150
and now, to substitute the following to the equation:
[tex]\frac{2(12)(4,150)}{9,500(61)} *100[/tex] = 17.2%
A
walking path across a park is represented by the equation y = -3x - 6. A
new path will be built perpendicular to this path. The paths will intersect at
the point (-3, 3). Identify the equation that represents the new path.
Answer:
We are given the path, y=-3x-6
The general form of the straight line is 'y=mx+b', where 'm' is the slope and 'b' is the y-intercept.
Thus, the slope of the given line is -3.
As, we have that the incipient path is perpendicular to the given path.
And, we ken that, 'Product of slopes of perpendicular lines is -1'.
Since, the incipient path passes through the point (-3,3). Superseding the values in the general form, we get,
b= 3+1
b= 4.
Step-by-step explanation:
f(n) = 2• (-3)^n
complete the recursive formula of f(n).
f(1) = ____
f(n) = f(n - 1) • ____
Answer:
[tex]f(1)=-6[/tex]
[tex]f(n)=f(n-1)(-3)[/tex]
Step-by-step explanation:
We are given that
[tex]f(n)=2\cdot (-3)^n[/tex]
We have to complete the recursive formula of f(n).
Substitute n=1
[tex]f(1)=2\cdot (-3)[/tex]
[tex]f(1)=-6[/tex]
[tex]f(2)=2\cdot (-3)^2=18[/tex]
[tex]f(3)=2\cdot (-3)^3=-54[/tex]
[tex]\frac{f(2)}{f(1)}=\frac{18}{-6}=-3[/tex]
[tex]\frac{f(3)}{f(2)}=\frac{-54}{18}=-3[/tex]
It forms geometric sequence because the ratio of two consecutive terms are equal.
Therefore, the recursive formula
[tex]f(n)=f(n-1)r[/tex]
[tex]f(n)=f(n-1)(-3)[/tex]
Answer:
f(1) = -6
f(n)= f(n−1)⋅ -3
Step-by-step explanation:
Plsss help me ASAP plss
What is the circumference of a circle with a diameter of 9 inches.
Answer:
28.26 inches
Step-by-step explanation:
Given
diameter (d) = 9 inches
circumference (c)
= π d
= 3.14 * 9
= 28.26 inches
HELP ME PLSS!!
Oliver, Lily, and Ella are hoping to save money. Oliver thinks saving money in a shoe box in his closet every month is a good idea. He decides to start with $150, and then save $75 each month. Lily was given $4000 from her Great Uncle Merv, and decides to put the money into an account that has a 7% interest rate that is compounded annually. Ella has earned $4500 working at the gas station and decides to put her money in the bank in an account that has a 7.5% interest rate that is compounded continuously.
the question is Describe the type of equation that models Ella’s situation. Create that equation of Ella’s situation. Using the equation you created, how much money will be in Ella’s account after 2 years? 10 years?
You'd first have to divide the first to, then add an divide your sume by the percent to get your answer.
Answer:
Step-by-step explanation:
Use formulaic methods. Since she has interest on her money, we have to include it:
i = log(x-4*7)^k
i is the interested amount, x is the variable we use, and k is the number of times. 7 is the interest
i = log(4000-4x7)^2 for 4000 at 7% interest over 2 years
i = log(4000-4x7)^10 for 4000 at 7% interest over 10 years
Amount after 2 years: $30,000
Amount after 10 years: $15,671
Can anyone help me with this please .
Answer:
Left: yes it is linear
Right: No it is not.
Step-by-step explanation:
Left Problem
The table on the left is linear. It's general form is
y = 6x + 7
x = 5
y = 5*6 + 7
y = 37
-------------------
x = 8
y = 6*8 + 7
y = 48 + 7
y = 55
------------------
y = 6*12 + 7
y = 72 + 7
y = 79
=============
Right Problem
The right problem looks like it is linear. It is not, I don't think. Do the same thing you did above.
y = 62x
x = 2
y = 2*62
y = 124
-----------------------
y = 62x
x = 6
y = 62 * 6
y = 372
---------------------
y = 62*x
x = 9
y = 62 * 9
y = 558
It should be 558 not 552
a coin is tossed several times and the ratio of the head to tails is 24:26. What Fraction of Tosses are heads?
Answer:
siiiiiiiiii
Step-by-step explanation:
The Hiking Club is on a trip to hike up a mountain. The members increased their elevation 290 feet during their hike
this morning. Now they are at an elevation of 450 feet.
a. Explain how to find their elevation before the hike.
b. Han says the equation e + 290 = 450 describes the situation.
What does the variable e represent?
C. Han says that he can rewrite his equation as
e = 450 + -290 to solve for e. Compare Han's strategy to your
strategy for finding the beginning elevation.
Answer:
Step-by-step explanation:
A. Subtract 290 from 450, 450-290= 160
B. The variable e represents the elevation before they started the hike
C. 450+-290= 450-290
The requried elevation before the hike is given as 160 feet and the required equation model of the situation is e + 290 = 450 where e represents the elevation before the hike.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
a. To find the members' elevation before the hike, we can subtract the increase in elevation from their current elevation. So, their elevation before the hike would be 450 - 290 = 160 feet.
b. In the equation e + 290 = 450, the variable "e" represents the members' elevation before the hike.
c. Han's strategy for finding the beginning elevation involves adding -290 to both sides of the equation e + 290 = 450 to get e = 450 + -290. This is equivalent to subtracting 290 from both sides of the equation e + 290 = 450. Both strategies result in the same equation, e = 160, which tells us that the members' elevation before the hike was 160 feet.
Learn more about models here:
https://brainly.com/question/22591166
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Please help!
If these two shapes are similar, what is the measure of missing length h?
Answer:
5
Step-by-step explanation:
Which table and graph represent the equation y = 3X?
—————————
a.table B and graph A
b.table B and Graph B
c.table A and graph B
d.table A and graph A
Answer:
d. table A and graph A
Step-by-step explanation:
y=3x
y = 3X is represented by graph B .
y = 3X is represented by table A .
Hence option C is correct .
Given, Equation : y = 3X
Now, to get the values of y substitute x.
Firstly table A:
y = 3X
x = 1 : y = 3
x = 2 : y = 6
x = 3 : y = 9
Thus table A represents the equation .
Next graph B :
Starting point of graph B is origin.
Coordinates of origin : (0,0)
Equation of graph B : y = 3X
Thus graph B represents the equation .
Therefore option C is correct .
Know more about equations,
https://brainly.com/question/27598076
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I need help with my home work pls
b. Classify the triangle shown by its angles and by its sides.
Answer:
Yes, according to the angles and sides of the hills
Answer:
Answers
1. 40o, obtuse
2. 90o, right
3. scalene
4a. equilateral
4b. isosceles
4c. scalene
5. An acute triangle has 3 acute angles, not just 1. The figure contains a right angle and is therefore a right triangle.
6. obtuse
7. 58o, acute
8. Yes, because the measures add up to 180o.
9. C
10. The triangle would be isosceles, because isosceles triangles have two sides the same length.
Step-by-step explanation:
A medium pizza at Pizzaz Pizza
costs $12 plus 1.00 per topping,
A medium pizza at Crustie's
Pizza costs $10 plus $1.50 per
topping. How many toppings
does it take so that a medium
pizza costs the same at each
pizzeria? Define your variables,
write a system of equations, and
solve
Answer:
21
Step-by-step explanation:
Answer:
it would take four toppings so that a medium pizza would cost the same at a pizzeria
solve each system of eaquasions x+4y=4 -x+2y=8
Answer:
(-4, 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsCoordinates (x, y)Solving systems of equations using systemsStep-by-step explanation:
Step 1: Define Systems
x + 4y = 4
-x + 2y = 8
Step 2: Rewrite Systems
x + 4y = 4
[Subtraction Property of Equality] Subtract 4y on both sides: x = 4 - 4yStep 3: Redefine Systems
x = 4 - 4y
-x + 2y = 8
Step 4: Solve for y
Substitution
Substitute in x: -(4 - 4y) + 2y = 8[Distributive Property] Distribute negative: -4 + 4y + 2y = 8Combine like terms: -4 + 6y = 8[Addition Property of Equality] Add 4 on both sides: 6y = 12[Division Property of Equality] Divide 6 on both sides: y = 2Step 5: Solve for x
Define original equation: x + 4y = 4Substitute in y: x + 4(2) = 4Multiply: x + 8 = 4[Subtraction Property of Equality] Subtract 8 on both sides: x = -4can someone help me, file attached
Answer:
C. log 10m is the correct answer.
Step-by-step explanation:
The laws of logarithm states that if you have:
[tex] log(a) + log(b ) = log(a \times b) = log(ab) [/tex]
So, comparing that to your question,
[tex] log(m) + log(10) = log(10m) .[/tex]
On a triangle, one side measures 4x2−2x and another side measures 2x2 −5x+1. If the perimeter of the triangle is 9x2 + x+6, what is the measure of the third side of the triangle? (Your answer will be an expression)
Answer:
3x² + 8x + 5
Step-by-step explanation:
Subtract the sum of the 2 given sides from the perimeter, that is
9x² + x + 6 - (4x² - 2x + 2x² - 5x + 1)
= 9x² + x + 6 - (6x² - 7x + 1 ) ← distribute parenthesis by - 1
= 9x² + x + 6 - 6x² + 7x - 1 ← collect like terms
= 9x² + 8x + 5
re-write the equation in Ax+By=C form. use integers for A,B, and C.
y+2=-5(x-5)
Answer:
5x+y=23
Step-by-step explanation:
y+2=-5(x-5)
y+2=-5x+25
y=-5x+25-2
y=-5x+23
23=y-(-5x)
23=y+5x
5x+y=23
184329 rounded to the nearest 100
Answer:
184300
Step-by-step explanation:
Answer:
184300
Step-by-step explanation:
the tens place is less than 5 so the hundreds place will stay the same
(when rounding all numbers after the one being rounded will turn to 0)
Help me find the slope to 0,0 and 6,1
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Slopes and gradient.
slope, m = y2-y1/ x2-x1
hence, m = 1-0/ 6-0
m = 1/6
hence slope = 0.166
An airplane on autopilot took 9 hours to travel 6,471 kilometers. What is the unit rate for kilometers per hour?
Answer:
719 kilometers
Step-by-step explanation:
6,471/9 = 719
that's the unit rate
Answer:
719
Step-by-step explanation:
6,471/9=719
719*9=6,471
which means the correct answer is 719
YW!!
How many tons are equal to 36,000 pounds? With work!
Answer:
18 tons
Step-by-step explanation:
1 pound = 0.0005 ton
Therefore,
36,000 pounds
= 36000*0.0005
= 18 tons
................... 8x-0.2=9.8
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
x = 1.25
Step-by-step explanation:
8x - 0.2 =
8(1.25) - 0.2 =
10 - 0.2 = 9.8
hope this helped!
The distance between boston and chicago on a map is 9 inches. If the scale of the map is 1 inch : 95 miles, what is the actual distance from boston to chicago
Half of $1\%$ of $40$ is one less than what number? Express your answer as a decimal to the nearest tenth.
Answer:
$0.2
Step-by-step explanation:
1% of $40
1/100 * 40
0.01 * 40 = $0.4
Half of $0.4
$0.4 / 2 = 0.2
Therefore, half of 1% of $40 equals $0.2
Answer:
1.2
Step-by-step explanation:
The other guy is wrong
I know because I checked
PLEASE HELP! WILL MARK BRAINLIEST IF U ANSWER CORRECTLY! IF WRONG U WONT GET IT
Answer: 120cm
Step-by-step explanation:
PLEASE HELP ME ASAP.
Answer:
use pathway but with an M instead of P
Step-by-step explanation:
whats her errors and whats the soulution
Answer:
she messed up at -17=34x
Step-by-step explanation:
she added 8x to each side but she was actually supposed to subtract
The error is 8(x - 3) + 7 = 2x(13) and -17 = 34x.
4 - 17 = -13, not 13
8x - 17 = 26x
-17 = 26x -8
-17 = 18x ( it should be like this, but this is still wrong because it should -26)
The solution is:
8(x - 3) + 7 = 2x(4 - 17)
8(x - 3) + 7 = 2x(-13)
8x - 24 + 7 = -26x
8x - 17 = -26x
8x + 26x = 17
34x = 17
x = 17/34
x = 1/2
Hope it helps!
Chad has a rope that is 24 yards long. How many pieces of rope measuring 4/7 of a yard can he divide his rope into?
Answer:
42
Step-by-step explanation:
Chad has a rope that is 24 meters long
He wants to divide the rope so each piece will be 4/7 yards
= 24÷ 4/7
= 24× 7/4
= 168/4
= 42
Hence he can divide the rope into 42 pieces
Mr. Berger assigned the following system of equations to be solved for homework.
2 x minus 3 y = negative 12. 4 x + y = negative 10.
Which is the x-coordinate of the correct solution?
x = negative 3
x = negative one-fifth
x = StartFraction 9 Over 7 EndFraction
x = 2
Answer:
x=-3
Step-by-step explanation:
2 x - 3 y = -12.
4 x + y = -10.
Answer:
X=3
Step-by-step explanation:
Trust me ;))
