Answer:
[tex]y=-\displaystyle\frac{4}{5}x+\displaystyle\frac{3}{5}[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis).
1) Determine the slope (m)
[tex]m=\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex] where two points that fall on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (2, -1) and (-3, 3):
[tex]m=\displaystyle\frac{-1-3}{2-(-3)}\\\\m=\displaystyle\frac{-4}{2+3}\\\\m=-\displaystyle\frac{4}{5}[/tex]
Therefore, the slope of the line is [tex]-\displaystyle\frac{4}{5}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-\displaystyle\frac{4}{5}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-\displaystyle\frac{4}{5}x+b[/tex]
Plug in one of the given points and solve for b:
[tex]-1=-\displaystyle\frac{4}{5}(2)+b\\\\-1=-\displaystyle\frac{8}{5}+b\\\\b=\displaystyle\frac{3}{5}[/tex]
Therefore, the y-intercept is [tex]\displaystyle\frac{3}{5}[/tex]. Plug this back into [tex]y=-\displaystyle\frac{4}{5}x+b[/tex]:
[tex]y=-\displaystyle\frac{4}{5}x+\displaystyle\frac{3}{5}[/tex]
I hope this helps!
Answer:
y= -0.8x + 0.6
Step-by-step explanation:
4x+y=8, -3x-y=0 HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
Solution: x = 8, y = -24 or (8, -24)
Step-by-step explanation:
Given the systems of linear equations, 4x + y = 8 and -3x - y = 0:
We can find the solution by using the elimination method since the variable, y, has opposite signs. Simply add the two equations and solve for the value of x:
Equation 1: 4x + y = 8
Equation 2: -3x - y = 0
Solve for x:4x + y = 8
+ -3x - y = 0
x = 8
Solve for y:Next, substitute the value of x = 8 into either one of the equations to solve for y:
4x + y = 8
4(8) + y = 8
32 + y = 8
Subtract 32 from both sides:
32 - 32 + y = 8 - 32
y = -24
Answers:Therefore, the solutions to the given systems of linear equations are:
x = 8, y = -24 or (8, -24)
Please help me with this math problem!! Please!! I will give brainliest for best answer!! No links please!! :)
Answer:
Try 1.09
Plz let me know if this is right if not I am sorry I tried.
The temperature was −10 °F and dropped by 16 °F. Which statement represents the resulting temperature in degrees Fahrenheit?
Answer:
-26
Step-by-step explanation:
Dropping here means subtracting. That means that we calculate:
-10 - 16 = -26
What are the values of x when f(x) =5
Answer:
{−5}
hope it helps, tell me if im wrong! be safe! :D
If triangle abc~triangle rpq ar(triangle abc)/ar rpq is equal to
Answer:Search it up
Step-by-step explanation:
help please and thank you, I'll mark u brainly
The number of students P(n), on each floor of a school building depends on the floor number n. What does the statement P(6) > P(1) + P(3) mean?
Answer:
The answer is A, because this expression translates to the number of students on the 6th floor being greater than (due to the < symbol) the number of students of the 1st and 2nd floor combined (due to the + symbol).
Step-by-step explanation:
A pitcher threw 6 strikes out of every 10 pitches if she threw 35 total pitches how many were balls
Answer:
21
Step-by-step explanation:
Simplify the ratio 6 : 10
The simplified ratio is 3 : 5.
The ratio is 3:5 now we have to figure out what the ration of 35 is so lets sovle that. Since
3 : 5 = X : 35
Then we know
3/5 = X/35
Multiplying both sides by 35 cancels on the right
35 × (3/5) = (X/35) × 35
35 × (3/5) = X
Then solving for X
X = 35 × (3/5)
X = 21
Therefore
3 : 5 = 21 : 35
You deposit $880 in a savings account paying 4% simple interest.
How much interest will you earn in 5 years?
Answer:
interest earned is $176
Step-by-step explanation:
Interest = Principal x Rate x Time
I = 880 x .04 x 5
I = 176
Answer:
$176
Step-by-step explanation:
Simple interest = P ( initial money )*r (rate ) *t ( time )
P = $880
r = 4% = 0.04
t = 5 years
Simple interest = 880 * 0.04 * 5 = $ 176
Interest you earn in 5 years is $176.
What is the value of x when f(x) =0
Answer: -1, 2 and 4
Step-by-step explanation:
how many triangles are in this shape?
Answer:
maybe 4 ????????????????????
Solve the system of equations by substitution.
y = 4x -1
2x + 2y = 3
Answer:
(0.5, 1 )
Step-by-step explanation:
y = 4x - 1 → (1)
2x + 2y = 3 → (2)
Substitute y = 4x - 1 into (2)
2x + 2(4x - 1) = 3 ← distribute parenthesis and simplify left side
2x + 8x - 2 = 3
10x - 2 = 3 ( add 2 to both sides )
10x = 5 ( divide both sides by 10 )
x = [tex]\frac{5}{10}[/tex] = 0.5
Substitute x = 0.5 into (1)
y = 4(0.5) - 1 = 2 - 1 = 1
solution is (0.5, 1 )
Please help- middle school rate of change
Answer:
Slope: - 3/4
Step-by-step explanation:
Place your pencil on point y= 4. Go up 3 spaces, then, 4 to the left to the next point.
Slope = - 3/4
( a line going up hill: positive slope. A line going downhill: negative slope)
you save $25 per week to purchase a laptop that costs $400
itll take 16 weeks to save for the laptop.
5
A carpenter has a board that is yd wide. He cuts the board into 6 pieces. If all the pieces are the same width, how wide is each piece?
8
Each piece is yd wide.
(Type a whole number, proper fraction, or mixed number.)
Answer:
6 Inches
Step-by-step explanation:
A yard is 3 feet (36 inches).
36/6=6, so the answer is 6 inches, or 1/2 foot.
Question 5 (1 point)
What is the Mode of this set of data?
4 4 5 5 5 6 6
a 6
b 5
c 5.5
d 4
Answer:
b 5
Step-by-step explanation:
because has the frequency of 3 in the question
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
d > -4
Hope this helped!!
can someone help me with this? I'm a bit confused
Lea sold half of her comic books and then bought thirteen more. She now has 42.
With how many did she begin?
The number of chickens (c) is four times as many the number of horses
(h) on the farm. Write the equation to represent the proportion and find
out how many chickens there are if there are 8 horses.
A. h = 4c, there are 2 chickens
B.h = 4c, there are 32 chickens
C.c = 4h, there are 2 chickens
D.c = 4h, there are 32 chickens
Answer:
D
Step-by-step explanation:
Number of chickens (c) is = 4 times number of horses (4h). c = 4h
-330-811 = ???
PLS HELP
Show step by step
Answer:
-1141
Step-by-step explanation
When subtraction two negatives it becomes it bigger negative, so basically your adding to two numbers but its actually making a bigger negative.
Answer:
Step-by-step explanation:
-330 - 811 = - 1,141
Can someone please give me the (Answers) to this? ... please ...
Slope, in the form of y = mx + b, is m
[1] 9
() It is the m
[2] -1/2
() It is the m
[3] 2
() add 2x to both sides
[4] 3/4
() add 4y and subtract 12 from both sides (4y = 3x - 12) and then divide by 4
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
1: x=8/9
2: Y=- x/2-4
3:y=5+2x
4: x=4+ 4y/3
sinx cosx tanx secx cscx
I know it =tanx but I need to know how to get there
Answer:
see explanation
Step-by-step explanation:
Using the identities
tan x = [tex]\frac{sinx}{cosx}[/tex] , sec x = [tex]\frac{1}{cosx}[/tex] , csc x = [tex]\frac{1}{sinx}[/tex] , then consider left side
sinxcosxtanxsecxcscx
= sinxcosx × [tex]\frac{sinx}{cosx}[/tex] × secxcscx ← cancel cosx on numerator/ denominator
= sinx × sinx × [tex]\frac{1}{cosx}[/tex] × [tex]\frac{1}{sinx}[/tex] ← cancel sinx on numerator/ denominator
= sinx × [tex]\frac{1}{cosx}[/tex]
= [tex]\frac{sinx}{cosx}[/tex]
= tan x
= right side , thus proven
This is a test question for underdstanding this feature
Answer:
i didn't understand what your question is
Using the formula for interest, I = Prt, solve for r. Please answer this as soon as possible please and thank you
Answer:
A
Step-by-step explanation:
I = Prt = r * Pt
divide Pt from both side we get
I/(Pt) = r
Answer:
a
Step-by-step explanation:
I = Prt ( isolate r by dividing both sides by Pt )
[tex]\frac{I}{Pt}[/tex] = r , that is
r = [tex]\frac{I}{Pt}[/tex] → a
G(t) = -9t - 4
g( ) = 23
Answer:
G(t) = -9t - 4
g( ) = 23
Step-by-step explanation:
G(t) which = -9t then u - 4 g( ) from 9t which also equals 23
I hope this helps!
Triangles ABD and XYZ are similar.Find the length of segment BC.
Answer:
BC = 6
Step-by-step explanation:
Look at two corresponding sides that have both lengths given.
They are AB = 4 and XY = 3.
We need BC, and its corresponding side YZ = 4.5.
We can use a proportion.
BC/YZ = AB/XY
a/4.5 = 4/3
3a = 4.5 * 4
a = 1.5 * 4
a = 6
Answer: BC = 6
can somebody please help me with this math problem? its a problem connected with slope
Answer:
slope is 2
Step-by-step explanation:
(8-(-8))/(4-(-4))=16/8=2
Find the quotient.
37 ÷ 5 = ?
A. 8 r2
B. 8
C. 7
D. 7 r2
Answer:
The answer is D
Step-by-step explanation:
The quotient of 37 ÷ 5 equals 7; the remainder ("left over") is 2. 37 is the dividend, and 5 is the divisor
ANS : 7 r2
Refer the attachment for ur reference !!
Determine the value of x and y and the following diagram
Answer:
Step-by-step explanation:
first subtract 125-180=X you will get X=55 so then add X+X+y=180 which x+x+y= is actually 55+55+y=180 but don't add the y just yet add 55+55 then you will get 110+y=180 so then flip it backwards and do y=180-110 and your anwser is y=70
Solve this equation
13-4x=1-x
Answer:
x= 4
Step-by-step explanation: