Answer:
[tex]y = \frac{-8}{3}x - 8[/tex]
Step-by-step explanation:
Solving for the equation of the line with two points:
Let's remind ourself of the slope - intercept formula: [tex]y = mx + b[/tex]
We first have to find the slope of the line. This is found by using the formula :
[tex]\frac{y_1 - y_2}{x_1 - x_2}[/tex]
We have to find the change in y (Δy) and divide it by the change in x (Δx)
We then have to plug in a coordinate given to us, and use the point's x and y value to find the y - intercept
Step 1: SlopeLet's use the slope formula
[tex]\frac{0 - (-8)}{-3 - 0} = \frac{8}{-3}[/tex]
Slope = -8/3
Step 2: Y - InterceptTo find the y - intercept, we'll update our slope - intercept formula with the slope, and plugin a point. Let's use (-3,0)
[tex]y = \frac{-8}{3}x + b[/tex]
[tex]0 = \frac{-8}{3}(-3) + b[/tex]
[tex]0 = \frac{24}{3} + b[/tex]
[tex]0 = 8 + b[/tex]
[tex]b = -8[/tex]
Step 3: EquationLet's input our slope and y - intercept to the equation [tex]y = mx + b[/tex]
Slope = -8/3
Y - Intercept = -8
Equation: [tex]y = \frac{-8}{3}x - 8[/tex]
-Chetan K
simplify this addition 20+(-6x)+6x+(-20)
Answer:
0
Step-by-step explanation:
20+(-6x)+6x+(-20)=20-6x+6x-20
=0
i need help fast please
Solve this and show steps
4.5×8-(0.4+9.6-(3.6-1.8))
Answer:
27.8
Step-by-step explanation:
You need to do brackets first
3.6-1.8 = 1.8
Then substitute
4.5 x 8- (0.4 + 9.6- 1.8)
0.4+9.6-1.8=8.2
4.5 x 8 - 8.2 =27.8
Find all of the rational zeros of the function. f(x)=x 4 −3x 3 −6x 2 +6x+8
Answer:
The "possible" rational zeros are:
±
1
,
±
2
,
±
4
,
±
8
The actual zeros are:
−
1
,
4
,
±
√
2
Explanation:
f
(
x
)
=
x
4
−
3
x
3
−
6
x
2
+
6
x
+
8
By the rational root theorem, any rational zeros of
f
(
x
)
are expressible in the form
p
q
for integers
p
,
q
with
p
a divisor of the constant term
8
and
q
a divisor of the coefficient
1
of the leading term.
That means that the only possible rational zeros are:
±
1
,
±
2
,
±
4
,
±
8
We find:
f
(
−
1
)
=
1
+
3
−
6
−
6
+
8
=
0
So
x
=
−
1
is a zero and
(
x
+
1
)
a factor:
x
4
−
3
x
3
−
6
x
2
+
6
x
+
8
=
(
x
+
1
)
(
x
3
−
4
x
2
−
2
x
+
8
)
Notice that the ratio between the first and second terms of the remaining cubic is the same as that between the third and fourth terms. So this cubic will factor by grouping:
x
3
−
4
x
2
−
2
x
+
8
=
(
x
3
−
4
x
2
)
−
(
2
x
−
8
)
x
3
−
4
x
2
−
2
x
+
8
=
x
2
(
x
−
4
)
−
2
(
x
−
4
)
x
3
−
4
x
2
−
2
x
+
8
=
(
x
2
−
2
)
(
x
−
4
)
Finally we can factor the quadratic as a difference of squares:
x
2
−
2
=
x
2
−
(
√
2
)
2
=
(
x
−
√
2
)
(
x
+
√
2
)
So the zeros are:
−
1
,
4
,
±
√
2
Given f(x) = 5x + 2 and g(x) = 5x - x5X What is the value of (f 9)(1)?
Answer:
the answer is 5×9+2=47
Step-by-step explanation:
the answer is 47
5^-15 rewritten using a positive exponent.
Answer: 1/5 to the power of 15
3 shirts for 9.99 2 pairs of shorts for 14.95 a bathing suit for 24.50 the sales tax was 7% how much did she spend in all ?
Answer:
If a shirt is on sale for 50% off, and you have another offer that gives you an "additional 20% off the sale price", does that mean you get a total of 70% off? Not usually. If the shirt was $20, then the SALE price would be $10 and the additional 20% would apply to the SALE price of $10 instead of the original price of $20. This isn't too bad when the sales are nice even percentages, but when it gets more complicated, you can use this calculator to find out the final cost (sales tax not included).Step-by-step explanation:
Help please ASAP !
Given that a + b = 2 and that a + b2=6, prove that 2ab = -2. Find also the value of (a - b)?
if x = 5 find the value of a) x² b) (x + 3)²
Answer:
x=5a)x²
5²=25
b] (x+3)²
(5+3)²
(8)²=64
A glue company needs to make some glue that it can sell for $120 per barrel. It wants to use 150 barrels of glue worth $100 per barrel, along with some glue worth $150 per barrel and glue worth $190 per barrel. It must use the same number of barrels of $150 and S190 glue. How much of the $150 and $190 glue will be needed? How many barrels of $120 glue will be produced
If x=5 and y=3 find the value of x+2y
Answer:
x=5
y=3
then ,
x+2y= 5+2 *3
= 5+6
= 10
$61.60 for parts and labor rate is $30.00 per hour total cost 136.60 how many hours will the job take? Write an equation and explain how you used it to find the number of hours the job will take.
Answer:
(136.60 - 61.60) / 30 = 2.5 hours
Step-by-step explanation:
First, subtract the cost of parts from the total: 136.60 - 61.60 = 75
Now you have the total labor cost. Divide by the hourly rate: 75 / 30 = 2.5
does anyone know the answer?
Find the perimeter, in feet, of the rhombus.
32 feet
60 feet
34 feet
68 feet
Answer:
68ftStep-by-step explanation:
The formula of a perimeter of a rhombus:
P = 4a
a - length of side
We have a = 17ft
P = 4 · 17ft = 68ft
Find the area of a circle with a radius of 6 feet. Use 3.14 for pi
Answer:
Replace the value of r in the formula :
A = π • r²
A = π • 6²
A = 113,097
Since you need to round off your answer to one decimal, your final answer is :
A = 113.1 square ft
Step-by-step explanation:
Please help me The point D,E,F and G all lie on the same segment, in that order, such that ratio of DE:EF:FG is equal to 4:1:4. If DG=36, find EG
Answer:
4+1+4+g=36
g=27
dg=32
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
DE : EF : FG = 4 : 1 : 4
DG = 36
DG = DE + EF + FG
-> 4x + x + 4x = 36
9x = 36
x = 4
so EG = EF + FG
= x + 4x
= 5x
= 20
Find the equations of a line through these 2 points
(1,2) & (3,5)
2. (-2,0) & (0,8)
3. (4,-5) & (11,-5)
4. (6,2) & (9,3)
6. (6,2) & (10,3)
5. (7,5) & (6,11)
answer is 2.2 66 88862 u88272
(x + 1)(x + 2)(x + 1)(3x + 2)
Answer:
Is it the full question I mean what does it want next anyway?
But here's your answer :
3x^4 + 14x^3 + 23x^2 + 16x + 4
What are the coordinates of point P?
O (-4, 3)
O (-3, 4)
0 (3,-4)
O (4, -3)
Answer:
(-4, 3)
Step-by-step explanation:
You have to go -4 on the x-axis, and +3 on the y-axis
how do you convert decimal to fraction
you convert decimals to fractions by how much more numbers are after the point the more 0Answer:
for example 0.2=2/10 and0.25= 25/100
and if a zero is infront of the number like this 0.02 then it will be the same except it will be 2/100
Step-by-step explanation:
Answer Please will give brainliest.
Step-by-step explanation:
blue is natural: 1, 4, 0, 2 and root of 25.
green is whole: -9 and -15.
yellow is rational: 2/3
orange is irrational: pi and root of 15.
white is real numbers.
don't know about that purple one.
7/8 of the animals in a garden are goats the rest 230 cow how many animals are there altogether
Answer:
1610
Step-by-step explanation:
230 is 1/8 percent, multiply it by 7, get 1610
3/10y - 2/5 i need to find the coefficient and i dont know how
[tex] \frac{3}{10y} - \frac{2}{5} = \frac{3 - 4y}{10y} [/tex]
Polly buys 6.8 yards of fabric for $28.90. What is the cost per yard?
Please help? :)
Answer:
Polly has to pay $0.24 per yard of fabric.
Step-by-step explanation:
You simply have to divide the 6.8 yards by the $28.90 cost. The result is $0.235294118 dollars per yard, but since you can't have only half a cent, we will round it to the nearest hundredths and get $0.24 dollars.
y=1/2x-4 in Standard Form
[tex]y =\dfrac 12 \cdot x -4\\\\\implies y = \dfrac{x-8}2\\\\\implies 2y = x-8\\\\\implies x -2y=8[/tex]
Draw triangle GMT
PLS CREATE DRAWING!! refer to attachment
The angle between sides GM and MT is ∠M.
The 2 sides that include ∠T are MT and GT.
The angle between sides GT and MG is ∠G.
There's not much to say about this, but I can answer questions if you have any.
I really need help with this one it's due today!!
Answer:
-2/3
3/2
Step-by-step explanation:
So to have a line parallel the equation is: m1 = m2, meaning the slope (represented by m in this equation) is equal. So in the equation. 3y = - 2x + 4 you need to simplify the equation by dividing both sides by 3. Which would be like so: y = - 2/3x + 4/3, which the slope will be -2/3.
To be perpindicular you need the slope to be: m1 * m2 = - 1. So because we already know that the slope is -2/3, all we need to do is set up an equation: -2/3 * y = - 1
-2/3y = - 1
multiply both sides by 3/-2
y = 3/2
A jar contains 6 red marbles numbered 1 to 6 and 10 blue marbles numbered 1 to 10. A marble is drawn at random from the jar. Find the probability of the given event.
Answer:
Step-by-step explanation:
a)
p
(
red marbles
)
=
6
6
+
8
p
(
red marble
)
=
3
7
b)
p
(
o
d
d
n
u
m
b
e
r
s
)
=
3
+
4
6
+
8
p
(
o
d
d
n
u
m
b
e
r
s
)
=
1
2
c)
p
(
red marbles or odd numbers
)
=
p
(
red marbles
)
+
p
(
odd numbers
)
−
p
(
red marbles and odd numbers
)
p
(
red marbles or odd numbers
)
=
6
14
+
7
14
−
3
14
p
(
red marbles or odd numbers
)
=
10
14
d)
p
(
Blue marbles or even number
)
=
p
(
Blue marbles
)
+
p
(
even numbers
)
−
p
(
blue marbles and even numbers
)
p
(
Blue marbles
)
=
8
14
p
(
even numbers
)
=
7
14
p
(
Blue marbles or even number
)
=
8
14
+
7
14
−
4
14
p
(
Blue marbles or even number
)
=
11
14
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What is Probability in Math? - Definition & Overview
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Chapter 24 / Lesson 7
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The formula of probability is possible choices over the total number of options. Discover the definition of probability and get an overview of its calculation and application in math.
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Question in on picture attached
Answer: 12
Step-by-step explanation:
180 = 76 + (3x+3) + (6x-7) = 12
PLEASE HELP ME WILL GIVE BRAINLIEST!!!!!
How do you graph the solution set to a system of linear inequalities in two variables (pretend you are the teacher and you are teaching me how to graph it)?
Answer:
Graph both of the line inequalities on the same coordinate graph, and then the overlap will be your answer.
Step-by-step explanation:
An example is attached! The purple-ish on the right would be your solution set.
