Answer:
y=-3x+5
Step-by-step explanation:
y=mx+b
m=slope or gradient (=-3)
y=-3x+b
Add your points
(2, -1)
-1=(-3 x 2)+b
-1= -6+b
-1+6=b
b=5
y=-3x+5
Answer:
[tex]\boxed {\boxed {\sf y= -3x+5}}[/tex]
Step-by-step explanation:
We are asked to find the equation of the line that passes through the point (2, -1) and has a slope of -3.
We are given a point and the slope, so we can use the point-slope formula.
[tex]y-y_1=m(x-x_1)[/tex]
In this formula, m is the slope and (x₁, y₁) is the point the line passes through.
The line has a slope of -3 and passes through (2, -1).
m= -3 x₁= 2 y₁= -1Substitute the values into the formula.
[tex]y--1= -3 (x-2)[/tex]
[tex]y+1= -3 (x-2)[/tex]
Distribute the -3 on the right side. Multiply each term inside the parentheses by -3.
[tex]y+1 = (-3*x) + (-3*-2)[/tex]
[tex]y+1=(-3x) + (6)[/tex]
[tex]y+1=-3x+6[/tex]
Subtract 1 from both sides of the equation to isolate the variable y.
[tex]y+1-1=-3x+6-1[/tex]
[tex]y=-3x +5[/tex]
The equation of the line is y= -3x+5.
James deposited $575 into a bank account that earned 5.5% simple interest each year. No money was deposited into or withdrawn from the account.
How much money was in the account after 212 years?
Round your answer to the nearest cent.
Answer:
Answer:it's 654.06I just did the test
Step-by-step explanation:
3. A cubic polynomial with rational coefficients has the roots 6+ Fo and. Find one additionalroot.
0-6-v6
06-16
0-6+ /6
06- 6
Answer:06-16
Step-by-step explanation:
Jared has four pieces of rope that are each 12.75 feet long. How many feet of rope does he have in total?
51 feet
50.8 feet
16.75 feet
12.79 feet
Answer=51 Feet
June who is 45 years old, is three times older than her son, James. James is five years older than his sister Rachel. How old is Rachel?
Answer:
rachel is 10
Step-by-step explanation:
45/3=15
15-5=10
Answer : 10
Explanation : To find James you take 45 and divide by 3. To find Rachel you take 15-5=10
What is the square of the sum of five and a number diminished by 6?
Step-by-step explanation:
A number diminished by 6:
n - 6Sum of 5 and a number diminished by 6:
5 + n - 6 = n - 1The square of the sum of five and a number diminished by 6:
(n - 1)² =n² - 2n + 1Solve (x-1)(x+5)=0 using zero product property
Find the distance between the pair of points.
E(-6, 4) and F(5, 4)
The distance between the pair of points is _____ units?
Answer:
11 units
Step-by-step explanation:
Just trust me!
the acceleration in centimeters per second of a projectile is modeled by
Answer:
The Acceleration, In Centimeters Per Second Per Second, Of A Projectile Is Modeled By A (T) = 21" - 156 + 36, Where T Is Measured in seconds
can someone please help me with this
Answer:
y-intercept =3
x-intercept =3/2
slope =-2
Step-by-step explanation:
y=-2x+3
0=-2x+3
2x=3
x=3/2
-8 + x - 2 - 5x
Plssss
Answer:
-4x-10
Step-by-step explanation:
This is the answer if you are simplifying the expression.
Answer:
− 4 − 8
Step-by-step explanation:
Raina's penny bank is 1/4 full. After she adds 360 pennies, it is 5/8 full. How many pennies can Raina's bank hold?
Answer:
960
Step-by-step explanation:
We start with the variable "x". Let's call "x" Raina's penny bank.
After adding 360 pennies, at the end, she has 5/8x, or 5/8.
So we start with
(1/4)x + 360 = 5/8x
Let's subtract 1/4x from both sides
360 = 5/8x - 1/4x
Remember, we need to use common denominators to subtract, so 1/4 becomes 2/8
360 = 5/8x - 2/8x
Now we simplify to get
360=3/8x
Multiply the reciprocal of 3/8 to both sides which is 8/3
360 * 8/3 = x
Answer is 960 pennies.
Therefore Raina's bank hold 960 pennies.
Answer:
we need to get the same number below to make it easier. so 1/4 will be equal to 2/8.
then she adds 360 pennies so it's 5/8 full.
therefore, the 360 pennies = 3/8 full
because 5/8 - 2/8 = 3/8.
now, we need to divide 360/3 so we can get how much pennies when it's 1/8 full.
360 pennies/3 = 120 pennies = 1/8 full.
now to get a full bank we just need to multiply 120 x 8 because 1/8 x 8 = 1 which means a full fraction.
120 pennies x 8 = 960 pennies.
Raina's bank can hold up to 960 pennies.
Which is  greater 5.200 or 5.002.
Help homework due soon!!!
Solving a word problem using a system of linear equations:
Jose the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there
were 4 clients who did Plan A and 8 who did Plan B. On Tuesday there were 2 clients who did Plan A and 3 who did Plan B. Jose trained his Monday clients for a
total of 9 hours and his Tuesday clients for a total of 4 hours. How long does each of the workout plans last?
The plans are illustrations of system of linear equations
Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour
Let A represent plan A, and B represents plan B
On Monday, we have:
4A + 8B = 9
On Tuesday, we have:
2A + 3B = 4
Multiply the second equation by 2
2 * (2A + 3B = 4)
4A + 6B = 8
Subtract this equation from the first equation.
So, we have:
4A - 4A + 8B - 6B = 9 - 8
3B = 1
Divide both sides by 3
[tex]\mathbf{B = \frac 13}[/tex]
Substitute 1/3 for B in 2A + 3B = 4
[tex]\mathbf{2A + 3 \times \frac 13 = 4}[/tex]
2A + 1 = 4
Subtract 1 from both sides
2A = 3
Divide both sides by 2
[tex]\mathbf{A = 1\frac 12}[/tex]
This means that:
Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour
Read more about linear equations at:
https://brainly.com/question/11897796
Find the pressure if a force of 750 N acts on an area of 12 cm3
Convert 27^ 2/3 into radical form.
Answer:
243
Step-by-step explanation:
Simplify
27^2 / 3
729 divided by 3
= 243
angles of triangle sand explain how u got each question and answer pls ! ((:
Answer:
m∠1 = 41°
m∠2 = 85°
m∠3 = 95°
m∠4 = 85°
m∠5 = 36°
m∠6 = 49°
m∠7 = 96°
Step-by-step explanation:
Alright, so to start we have 2 quadrilaterals intersecting to form a triangle, which means that in the shapes with 4 angles, all angles will add up to 360°, while the triangle's angles will add up to 180°
Right off the bat, we can tell that ∠3 and ∠95° are going to be the same, because they're at a perpendicular intersection, which also means that ∠2 and ∠4 will be the same as well
Knowing the ∠3 = 95° means that ∠5 and ∠6 must add up to equal 85°, so that the whole of the triangle equals 180°
Considering that in the first quadrilateral we already have ∠90° and ∠144°, this means that ∠1 and ∠2 have to add up to 126°, to make an even 360° total
If ∠95° is supplementary to ∠2, this means ∠2 = 85°, and since ∠4 and ∠2 are the same, ∠4 also equals 85° - This leaves 41° left for ∠1, and now we can move on to the other quadrilateral
So since we know ∠4 = 85°, and we already have ∠38°, this means that ∠7 and the unmarked angle will add up to equal 237°, so that the entire shape has 360°
Since we know that ∠5 and ∠144° are supplementary, this means ∠5 is equal to 36°, which would make ∠6 = 39°
And lastly we have ∠7, which since ∠6 = 39° this means our unmarked supplementary angle must equal 141° - Now that means that ∠4 + ∠38° + ∠141° = 264° out of 360°, which leaves ∠7 to equal 96°
What is the missing constant term in the perfect square that starts with x2 + 18x
Answer:
81
Step-by-step explanation:
Take half of the x-term coefficient, and square it.
Half of 18 is 9.
9² = 81
Answer: 81
Expand & simplify
(4x + 7)(x – 5)
Answer:
(4^3−13−35)
Step-by-step explanation:
this ans
find the scale figure from A to B.
scale figure A= 16 cm,8cm,20 cm
scale figure B=12cm,6cm,15cm
Answer:
The scale factor is 4/3 or 1.333...
Step-by-step explanation:
We're trying to find how can A go to B
Example: 16 --> 12
16 Divided by 12 = 4/3
[tex]\frac{16}{1}[/tex]÷[tex]\frac{12}{1} = \frac{16}{1} * \frac{1}{12} = \frac{16}{12} = \frac{4}{3}[/tex]
This will work with other numbers too.
please help i'm so confused
P: It's sunny.
Q: It's snowing.
R: It's not raining
Translate the following symbols: ~ RAQ
O If it's raining, then it's snowing.
O If it's not raining, then it's sunny.
O It's raining and it's snowing
O It's raining or it's snowing
Answer:
if it's bot raining, then it's sunny
Pls help thank you for those who put hard work
Step-by-step explanation:
given,
a = 18
given expression,
a + 8
a/q
18 + 8 = 26
therefore, correct answer is 26.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
X+3
=
ov*-
- (3)
ox-()*+1
O
+1
O
or-()***
X-1
+3
oy- ()
+1
-3
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choice is ~
[tex]\boxed{y = \bigg({\dfrac{1}{2} \bigg) }^{x - 3} + 1}[/tex]
[tex]\\ \sf\longmapsto y=\left(\dfrac{1}{2}\right)^{x-3}+1[/tex]
Graph attached
STATION 6 ! 100 POINTS !!
Answer:
svb the actual cost of a few minutes ago to
if f(x) = (3+x)/(x-3), what is f(a+2)
Answer:
B
Step-by-step explanation:
To evaluate f(a + 2), substitute x = a + 2 into f(x), that is
f(a + 2) = [tex]\frac{3+a+2}{a+2-3}[/tex] = [tex]\frac{5+a}{a-1}[/tex]
Car rental company A charges $15 to rent a car plus $2.30 per hour. Car rental company b charges $22 to rent a car plus $1.90 per hour. When would the cost of renting a car from company A be the same as renting a car from company B?
Answer: The cost of renting a car from Company A be the same as renting a car from company B in 17.5 miles
Step-by-step explanation:
y=2.30x +15
y=1.90x +22
0.4x +7 Divide 0.4 from both sides
x=17.5
y=2.30(17.5)+15
y=40.25+15
y=40.25-15
y=25.25
I need help with these two questions!! HELP
Answer:
AB and GF are skew
DH and BF are II
EF and HG are skew
ABCD and EFGH are II
Step-by-step explanation:
II is parralell or side by side.
Skew would be like intercepting with one another.
Have an awesome day! :D
Find the perimeter of this figure. Enter your answer in the box.
(-7 , 3) (8 , 3) (-7 , -1) (2 , -1) (2 , -8) (8 , -8)
Answer:
56 total units
Step-by-step explanation:
Here is what the plane would look like if the figure and points were drawn.
Answer:
52 unitsStep-by-step explanation:
Plot the points and connect.
Note. If you connect the points in the given order you will end up with a weird figure hence we connect as pictured.
Horizontal sides sum to:
2*(8 - (-7)) = 2*15 = 30Vertical sides sum to:
2*(8 - (-3)) = 2*11 = 22The perimeter is:
30 + 22 = 52I just need someone to explain this to me.
Answer:
23.6
Step-by-step explanation:
Answer:
23.6 is the correct answer
Which is the simplified form of r Superscript negative 7 Baseline + s Superscript negative 12?
StartFraction 1 Over r Superscript 7 Baseline s Superscript 12 EndFraction
Negative r Superscript 7 Baseline minus s Superscript 12
StartFraction r Superscript 7 Over s Superscript 12 EndFraction
StartFraction 1 Over r Superscript 7 Baseline EndFraction + StartFraction 1 Over s Superscript 12 EndFraction
Answer:
im pretty sure its D
Step-by-step explanation:
if a sprinkler waters 1/14 of a lawn in 1/2 an hour, how much time it will take to water the entire lawn