determine the equation of the line that passes through points (-4,5) and has a slope of m = -3
Answers
Answer:
y=-3x-7
Step-by-step explanation:
You want to find the equation for a line that passes through the point (-4,5) and has a slope of -3.
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was -3. So you can right away fill in the equation for a line somewhat to read:
y=-3x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(-4,5). When x of the line is -4, y of the line must be 5.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: . b is what we want, the -3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-4,5).
So, why not plug in for x the number -4 and for y the number 5? This will allow us to solve for b for the particular line that passes through the point you gave!.
(-4,5). y=mx+b or 5=-3 × -4+b, or solving for b: b=5-(-3)(-4). b=-7.
Related Questions
-3(10+4v)=-6(5-9v)
step-by-step pls
Answers
Answer:
0
Step-by-step explanation:
Let's solve your equation step-by-step.
−3(10+4v)=−6(5−9v)
Step 1: Simplify both sides of the equation.
−3(10+4v)=−6(5−9v)
(−3)(10)+(−3)(4v)=(−6)(5)+(−6)(−9v)(Distribute)
−30+−12v=−30+54v
−12v−30=54v−30
Step 2: Subtract 54v from both sides.
−12v−30−54v=54v−30−54v
−66v−30=−30
Step 3: Add 30 to both sides.
−66v−30+30=−30+30
−66v=0
Step 4: Divide both sides by -66.
−66v
−66
=
0
−66
v=0
Answer:
omg im so sorry
Step-by-step explanation:
Find the largest degree of x that can be factored out of all terms
9x and 45
Answers
Step-by-step explanation:
x cannot be factored out of these two monomials because x is not present in both of them.
The largest degree of x that can be factored out of all terms 9x and 45 is 0
What are some basic properties of exponentiation?If we have [tex]a^b[/tex] then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).
Exponentiation(the process of raising some number to some power) have some basic rules as:
[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c\\\\a^b = a^b \implies b= c \: \text{ (if a, b and c are real numbers and } a \neq 1 \: and \: a \neq -1 )[/tex]
How can we rewrite a constant as a coefficient?Suppose there is a constant 'c'.
We can write it as:
[tex]c = c \times 1 = c \times x^0[/tex]
where 'x' is the variable in consideration. Here even when x = 0, we would assume that for all real numbers 'x', its power raised to 0 makes it evaluate to 1.
For this case, we can rewrite both the terms as:
[tex]9x = 9x\times 1 = 9x \times x^0[/tex][tex]45 = 45 \times 1 = 45 \times x^0[/tex]Thus, the maximum of x that can come out common out of these two terms is [tex]x^0[/tex] (its degree, or power, or exponent is 0)
Thus, the largest degree of x that can be factored out of all terms 9x and 45 is 0
Learn more about exponentiation here:
https://brainly.com/question/26938318
#SPJ2
Find the slope (3,6)
(3,-3) need in 5 minutes
Answers
Answer: The slope is undefined.
Step-by-step explanation:
Using the formula given, find the difference in the y coordinates of the points and divide it by the x coordinates.
(3,6)
(3,-3)
y coordinates: 6 - (-3) = 9
x coordinates: 3- 3 = 0
9/0 = undefined.
Any number being divided by 0 is undefined because you can't divide something by anything.
Also remember that if a line is vertical through any of the x coordinate, the slope will always be undefined and the equation of line is x = 3
What is the value of n in the equation below 9n-24=4n+6
Answers
Answer:
6 (I believe so)
Step-by-step explanation:
9n-24=4n+6
9n=4n+30
5n=30
n=6
Answer:
n=6
Step-by-step explanation:
9n - 24 = 4n + 6
-4n -4n
5n - 24 = 6
+24 +24
5n = 30
divide both sides by 5
n = 6
hope this helps!!!
Find the percent of change:
From 64 feet to 48 feet
Answers
Answer:16
Step-by-step explanation:
Using this tool you can find the percent Decrease for any value. So, we think you reached us looking for answers to questions like:
1) What is the percentage Decrease from 64 to 48? 2) What is the absolute Decrease from 64 to 48. Or may be: What is the percent change from 64 to 48?
See the solution to these problems just after below.
How to calculate percent change - Step by Step
Percent increase or decrease measures percent changes between two values. Use this calculator when comparing an old value to a new value.
The Percent Calculator (Change) uses this formula:
% change = New Value - Old Value|Old Value|× 100%
Where |Old Value| represents the absolute value of the reference (this is made in order to work well with both positive and negative values of Old Value and New Value. Note that percent change and relative change mean the same thing. It can be a percent increase or a percent decrease depending on the new and the old values. If the new value is greater than the old value, the result will be positive and we will have a increase. On the other hand, if the new value is smaller than old value, the result will be negative and we will have a we have a decrease. The old value, as a reference, may be: a theoretical, the actual, the correct, an accepted, an optimal, the starting, and so on. See more about percent percent change here.
Here are the solutions to the questions stated above:
1) What is the percentage decrease from 64 to 48?
Use the above formula to find the percent change. So, replacing the given values, we have
Percent change = 48 - 6464 x 100 = -25 % (decrease)
Where: 64 is the old value and 48 is the new value. In this case we have a % of decrease because the new value is smaller than the old value.
2) What is the absolute Decrease from 64 to 48?
This problem is not about percent or relative change, but about absolute change. Its solution is very simple:
Absolute change, or
change = new value - old value
= 48 - 64 = -16 (decrease)
Answer: -25%
Step-by-step explanation:A change from 64 to 48 represents a negative change (decrease) of -25%
Use the formula found below on this webpage to find the percent change by replacing the given values:
Percent change = New - Old
|Old|
x 100%
Percent change = 48 - 64
|64|
x 100 = -16
64
x 100 = -25 % (decrease)
Where: 64 is the old value and 48 is the new value. In this case we have a negative change (decrease) of -25 percent because the new value is smaller than the old value.
Type the correct answer in the box.
A car accelerates from 4 meters/second to 16 meters/second in 4 seconds. The car's acceleration is
meters/second
Reset
Next
Answers
Answer:
3 meters/second
Step-by-step explanation:
acceleration = rate of change of speed (velocity)/change in time
= 16 - 4/4
= 12/4 = 3 m/s
MARKIGN PEOPLE AS BRIANLIST NEED HELP THANK YOU
Answers
Answer:
B. I think, im not in this level yet
Step-by-step explanation:
Help me pls ASAP thank you
Answers
If the weight of a package is multiplied by 5/6 the result is 10 lbs. Find the weight of the package.
Answers
Answer:
Step-by-step explanation:
1
. Start by making a "let statement."
Let
x
represent the weight of the package.
2
. Create an algebraic expression.
5
7
x
=
40.5
i
pounds
3
. Isolate for
x
by dividing both sides by
5
7
.
5
7
x
÷
5
7
=
40.5
i
pounds
÷
5
7
4
. Recall that in order to divide a fraction by another fraction, take the reciprocal of the divisor and change the division sign to a multiplication sign.
5
7
x
⋅
7
5
=
40.5
i
pounds
⋅
7
5
5
. Solve for
x
.
5
⋅
7
7
⋅
5
x
=
40.5
⋅
7
5
i
pounds
x
=
∣
∣
∣
∣
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
a
a
56.7
i
pounds
a
a
∣
∣
−−−−−−−−−−−−−−−
What kind of triangle is this?
Answers
Te reason being is that it has a 90° corner.
Hoped this helped
Answer: acute
Step-by-step explanation: its not right cuz there a 90 degree angle and it isnt obtuse
Find the missing side, round to the nearest tenth.
15
х
30*
Answers
Answer:
45
Step-by-step explanation:
15*30 is 450 rounded down is 45
The function f(x) = –2x2 + 32 represents the height of an object, f(x), after x seconds. How many seconds does it take for the object to hit the ground?
Answers
Given:
The height of an object, f(x), after x seconds is
[tex]f(x)=-2x^2+32[/tex]
To find:
The time taken be object to hit the ground.
Solution:
We have,
[tex]f(x)=-2x^2+32[/tex]
The object will hit the ground if the height is 0, i.e., f(x)=0.
[tex]0=-2x^2+32[/tex]
[tex]2x^2=32[/tex]
Divide both sides by 2.
[tex]x^2=\dfrac{32}{2}[/tex]
[tex]x^2=16[/tex]
Taking square root on both sides.
[tex]x=\pm 4[/tex]
Time cannot be negative. So, x=4.
Therefore, the object will hit the ground after 4 seconds.
John took a quiz there are 25 questions, I got a 76% how many did John get right and how many did he get wrong
Answers
Answer:
6 wrong.
Step-by-step explanation:
25 questions 76% 25*0.76=19 so he got 6 wrong.
Hope this helps plz hit the crown :D
Answer:
he got 19 correct and 6 incorrect
Step-by-step explanation:
2. Given f(x) = 2x + 3(x – 3), find x, if f(x) = 11.
please hurry
Answers
Answer:
Correct answer:
3
Step-by-step explanation:Using the defined function, f(a) will produce the same result when substituted for x:
f(a) = a2 – 5
Setting this equal to 4, you can solve for a:
a2 – 5 = 4
a2 = 9
a = –3 or 3
find the nth term, a1 = 24, d = 8, n = 25 loljejehwhwhshsh
Answers
If you put $100 in a savings account with an interest rate of 2% per year and left the money in the account for five years, how much money would be in the account after five years?
Answers
Answer:
$510
Step-by-step explanation:
Formula for calculating money with simple interest: principle money × interest rate with 100% × period of time
Total amount of money = 100 × [tex]\frac{100+2}{100}[/tex] × 5
= 510
Find the 55th term of the arithmetic sequence 2, -18,-38
Answers
Answer:
-1078
Step-by-step explanation:
n=0 is the first term in the sequence.
Every next term is 20 less then the previous term.
In Mathematics you can write this as follows:
f(n) = f(0) - (n-1)*20
f(n) = f(0) - {(n-1)*20}
f(n) = f(0) - {(20n) -20}
Attention: Please note that -1 * -20 = +20
f(n) = f(0) - 20n + 20
Check yourself, find f(2):
f(0) = 2
f(2) = 2 - 20*2 + 20
f(2) = 2 - 40 + 20
f(2) = 2 - 20
f(2) = -18
Check yourself once more, find f(3):
f(0) = 2
f(3) = 2 - 20*3 + 20
f(3) = 2 - 60 + 20
f(3) = 2 - 40
f(3) = -38
Now just find f(55):
f(55) = 2
f(55) = 2 - 20*55 + 20
f(55) = 2 - 1100 + 20
f(55) = 2 - 1080
f(55) = -1078
Help ASAP, WILL MARK BRAINLIEST!!
please look at image before answering!
Answers
Answer:
To know what the ratio for the cos of theta, we actually have to see the adjacent and hypotenuse values. cos=adjacent/hypotenuse.
Step-by-step explanation:
Evan is making ham and cheese sandwiches for a party.
Each sandwich is made from 1 bread roll, 1 cheese slice and 1 ham slice.
He has bought bread rolls in packs of 9, cheese slices in packs of 6 and ham slices in packs of 8.
When Evan has finished making the sandwiches, there is nothing left in any of the packs.
What is the minimum number of packs of each ingredient that Evan could have bought?
Answers
Find the least common multiple.
List the multiples of each:
9, 18, 27, 36, 45, 54, 63, 72
6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72
8, 16, 24, 32, 40, 48, 56, 64, 72
The least common multiple is 72
The number of packs of each would be:
Bread rolls: 72/9 = 8
Cheese = 72/6 = 12
Ham = 72/8 = 9
Lillian has nickels, dimes, and quarters in her coin purse. She has 3 fewer dimes than quarters, and 3 times as many nickels as dimes. If she has a total of 33 coins, which of these is either the number of nickels, the number of dimes, or the number of quarters she has?
Answers
Answer:
18 nickels, 6 dimes, and 9 quarters
Step-by-step explanation:
nickels dimes and quarters
x y and z
x+y+z=33
y+3=z
3y=x
3y+y+y+3=33
5y+3=33
5y=30
y=6
z=9
x=18
Hope this helps plz hit the crown :D
The average depth of the Artic Ocean is 3.953 x 10^5 feet while the average depth of the Atlantic Ocean is 1.2851 x 10^4 feet. Approximately how many times more deep is the Atlantic Ocean that the Artic Ocean?
Answers
Answer:
Hence the artic depth is approximately 31 times deeper than atlantic
Step-by-step explanation:
Given the following;
Average depth of the Artic Ocean = 3.953 x 10^5 feet
Average depth of the Atlantic Ocean = 1.2851 x 10^4 feet.
Taking the ratio of both depth;
Ratio = Depth of Artic/Depth of Atlantic
Ratio = 3.953 x 10^5/1.2851 x 10^4
Ratio = 3.076 * 10^1
Ratio = 30.76
Depth of artic/depth of atlantic = 30.76
Depth of artic = 30.76 * depth of atlantic
Hence the artic depth is approximately 31 times deeper than atlantic
who was the president before obama
Answers
The graph shows the relationship between the amount of peanuts and the amount of chocolate in different packages of snack mix A.1/2 ounce B.2/3 ounce C.3/4 ounce D.3/2 ounce
Answers
Answer:
ever get answer et
Step-by-step explanation:
find slope of the line passes through (7, 3)and (9, 6
Answers
Answer:
slope = 3/2
Step-by-step explanation:
(y2-y1)/(x2-x1)
= (6-3)/(9-7)
= 3/2
Hope this helps! :3
plz mark as brainliest!
5x-7=3 whats the answer
Answers
Answer:
x=2
Step-by-step explanation:
5x-7=3
Add 7 to each side
5x - 7+7 = 3+7
5x = 10
Divide each side by 5
5x/5 = 10/5
x = 2
Answer:
x = 2
Step-by-step explanation:
5x-7=3
Move the 7 from the left side. So you'll add it to both sides
5x-7(+7)=3(+7)
Making your formula
5x=10
Then divide 5x on both sides
Since 5x divided by itself is one it's just x
10 divided by 5 is 2
So the answer is x = 2
A farmer is going to divide her 40 acre farm between two crops. Seed for crop A costs $15 per acre. Seed for crop B costs $30 per acre. The farmer can spend at most $900 on seed. If crop B brings in a profit of $50 per acre, and crop A brings in a profit of $110 per acre, how many acres of each crop should the farmer plant to maximize her profit? acres of crop A acres of crop B
Answers
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of acre on which crop A is farmed and B represent the number of acre crop B is farmed.
Therefore:
Since there is a total of 40 acre farm, hence:
x + y = 40 (1)
The farmer can spend at most $900 on seed, crop A seed cost $15 and crop B seed cost $50, hence:
15x + 50y ≤ 900 (2)
Her profit is given as:
Profit = 50x + 110y
From the geogebra plot, the point that maximizes the profit is at (60, 0)
Therefore the maximum profit = 50(60) + 110(0) = $3000
Find the slope of a line that passes
through the following ordered pairs.
Reduce to lowest terms.
(-8, 6) (-9,-5)
Answers
Answer: m =11
Step-by-step explanation:Use the slope formula to find the slope
m
.
Write the percent as a fraction in lowest terms: 20%
Answers
Answer:
1/20
Step-by-step explanation:
1/20
Plz help me answer this
Answers
Answer:
(1, 7)
x = 1
y = 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
-5x + 2y = 9
y = 7x
Step 2: Solve for x
Substitution
Substitute in y: -5x + 2(7x) = 9Multiply: -5x + 14x = 9Combine like terms: 9x = 9Isolate x: x = 1Step 3: Solve for y
Define original equation: y = 7xSubstitute in x: y = 7(1)Multiply: y = 7Answer: x = 1 and y = 7
Step-by-step explanation:
first you substitude y for 7x
-5x + 2(7x) = 9
then you distribute
-5x + 14x = 9
then you combine like terms
9x = 9
then you divide both sides by 9
x = 1
then you subsitute the x value in the other equations
y = 7(1)
meaning y = 7
(a+b)^3 what if it is was a plus
Answers
Answer:
Step-by-step explanation:
(a+b)³
a³+a²b+ab²+b³
Or
a³+b³+ab(a+b)
[tex](a + b)^{3} = {a}^{3} + 3{a}^{2} b + 3a {b}^{2} + {b}^{3} [/tex]
Also do not get mixed between
[tex] {a}^{3} + {b}^{3} [/tex]
They both are not the same.
[tex](a + b)^{3} ≠ {a}^{3} + {b}^{3} [/tex]