Answer:
[tex]y=4x-16[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
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 x is 0)Parallel lines always have the same slope1) Determine the slope (m)
[tex]y=4x-6[/tex]
4 is in the place of m, making it the slope. Because parallel lines have the same slope, the slope of the line is therefore 4. Plug this into [tex]y=mx+b[/tex]:
[tex]y=4x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=4x+b[/tex]
Plug in the given point (6,8) and solve for b
[tex]8=4(6)+b\\8=24+b[/tex]
Subtract 24 from both sides to isolate b
[tex]8-24=24+b-24\\-16=b[/tex]
Therefore, the y-intercept of the line is -16. Plug this back into [tex]y=4x+b[/tex]:
[tex]y=4x-16[/tex]
I hope this helps!
Answer:
y=4x−16
Step-by-step explanation:
Because we want a parallel line to the given one, we know it needs to have the same slope. Therefore, the new line must be y=4x+b for some b. Knowing that the line goes through the point (6,8), we can plug this in and solve for b:
y=4x+b
8=4(6)=b
b=-16
So the equation of the line is y=4x−16.
Please guys answer me fast
Answer:
24 possible combinations in total,
just 3 that apply
{B,2},{B,4},{B,6}
one easy way to write the possibility is just
3/24 = 1/8 = 12.5%
Ella stacks two boards under a table to make it level. One board is į inch thick. The
other board is inch thick. Which equation most closely estimates the thickness of
5
12
the two boards?
Step-by-step explanation:
the problem description is incomplete or wrongly copied.
we don't know the thickness of the boards, and we cannot understand what we need to calculate, and what the answer options are.
Select all expressions equivalent to “-6z+(-5.5)+3.5z+5y-2.5.
*answer choices*
A.-8+5y+2.5z
B.-2.5z+5y-8
C.-8+5y+(2.5z)
D.2.5y+(-2.5z)-5.5
E.5y-8-2.5z
Answer:
B.) -2.5 z + 5 y - 8
Step-by-step explanation:
- 6 z + ( - 5.5 ) + 3.5 z + 5 y - 2.5
combine like terms
- 6 z + 3.5 z + 5 y -5.5 - 2.5
- 2.5 z + 5 y - 8
If f={(-1,-3), (1,1),(2,3),(4,6)} and g={(-1,-1),(1,7),(4,3)} what is (f+g)(4)?
Answer:
(f + g)(4) = 9
Step-by-step explanation:
We have that:
f = {(-1,-3), (1,1),(2,3),(4,6)}
this means that:
f(-1) = -3
f(1) = 1
f(2) = 3
f(4) = 6
and we also know that:
g = {(-1,-1),(1,7),(4,3)}
hich means that:
g(-1) = -1
g(1) = 7
g(4) = 3
Now we want to find:
(f + g)(4)
For the general case of two functions f(x) and g(x)
(f + g)(x) = f(x) + g(x)
Then:
(f + g)(4) = f(4) + g(4)
and we know both of these values, so we can just replace them:
(f + g)(4) = f(4) + g(4) = 6 + 3 = 9
Then we get:
(f + g)(4) = 9
A bookshelf holds 5 sports magazines and 5 architecture magazines.
When 3 magazines are taken from the shelf at random, without replacement, what is the probability that all 3 are architecture magazines?
3/25
1/125
1/12
1/8
Answer:
1/12
Step-by-step explanation:
The first time the person picks a magazine, they have a 5/10 chance of drawing an architecture magazine.
The second time, they have a 4/9 chance because they have already removed one magazine from the bookshelf
The third time, they have a 3/8 chance because they have already removed 2 magazines.
Multiply all of the probabilities together
5/10 * 4/9 * 3/8 = 60/720
Simplify:
60/60 / 720/60 = 1 / 12
Hope this helps!
Please help me I need help no links please
A line through the point (2,5) forms a right triangle with the x-axis
and y-axis in the 1st quadrant. Determine the equation of the line that
will minimize the area of this triangle.
9514 1404 393
Answer:
5x +2y = 20
Step-by-step explanation:
Suppose 'a' is the x-intercept of the line.
Then the slope is given by the slope formula ...
m = (y2 -y1)/(x2 -x1)
m = (0 -5)/(a -2)
And the y-intercept is ...
b = y -mx = 5 -(-5/(a-2))(2) = 5 +10/(a -2)
The area of the triangle is half the product of 'a' and 'b', so is ...
A = 1/2ab
A = 1/2(a)(5 +10/(a -2)) = 2.5a +5a/(a-2)
The area is minimized when the derivative of this is zero.
A' = 2.5 -10/(a -2)^2 = 0
Solving for 'a' gives ...
(a -2)^2 = 10/2.5 = 4
a = 2 + 2 = 4 . . . . . . . . . . . x-intercept
b = 5 +10/(4 -2) = 10 . . . . . y-intercept
m = -5/(4 -2) = -5/2 . . . . . . slope
An equation of the line is ...
y = -5/2x +10 . . . . . slope-intercept form
5x +2y = 20 . . . . . standard form
__
You may have noticed that the x-and y-intercepts are double the x- and y-values of the given point. That is, the given point is the midpoint of the hypotenuse of the triangle with minimum area. That is the general solution of this sort of problem.
What is the common ratio for the geometric sequence below, written as a fraction?
768, 480, 300, 187.5, …
/
Answer:
5/8
Step-by-step explanation:
Find the common ratio by dividing one of the numbers in the sequence by the previous one:
480/768
= 0.625
Convert this to a fraction:
0.625
= 5/8
So, the common ratio is 5/8
factorise m2+10m-24 please step by step
m^2+10m-24
=m^2+12m-2m-24
=m (m+12)-2 (m+12)
=(m-2)(m+12)
Answer:(m-2)(m+12)
if wrong correct me pls
I hope it helps mate
HAVE A GREAT DAY
#Liliflim
Question 3 (1 point)
3
A sample proportion is calculated from a sample size of 3. How large of a sample
would we need in order to decrease the standard error by a factor of 8?
1) 93
2) 51
3) 24
4) 192
5) 8
4x+9=41 x is equal to
Answer and Step-by-step explanation:
Simply solve for x (very easy to do).
4x + 9 = 41
Subtract 9 from both sides of the equation.
4x = 32
Divide both sides of the equation by 4.
x = 8
x is equal to 8.
#teamtrees #PAW (Plant And Water)
Help me with this math
Answer:
5196
Step-by-step explanation:
So it's 5040+(-156)
We have to find the absolute value
|-156|=156
5040+156=5196
Graph the image of the figure using the transformation given.
reflection across y=-1
Answer:
I'm not graphing, but I can describe the reflection as R', S', T', U':
R' = (-3, 1)
S' = (-2, 0)
T' = (-1, 2)
U' = (-2, 2)
Step-by-step explanation:
y = -1 is the line one unit below the x axis (the x axis is y=0).
To reflect any point across y=-1, we just need to leave the x coordinate as was, but the (new y) will be -2-(old y)
R = (-3, -3), R' = (-3, -2+3) = (-3, 1)
S = (-2, -2), S' = (-2, -2+2) = (-2, 0)
T = (-1, -4), T' = (-1, -2+4) = (-1, 2)
U = (-2, -4), U' = (-2, -2+4) = (-2, 2)
ABCD is a kite, find the value of y
Answer:
All triangles add to 180 degrees.
180 = 90 + 40 + angle ABX
angle ABX = 180 - 90 - 40
Angle y = 50
Step-by-step explanation:
Which algebraic expression is a polynomial?
Answer:
the last one is a polynomial
Step-by-step explanation:
5 bricks weigh 26 1/4 how much do 1 brick weigh
Answer:
5 1/4
Step-by-step explanation:
5 1/4 + 5 1/4 + 5 1/4 + 5 1/4 + 5 1/4 = 6 1/4
Can I get the answer for 3 4 5 6
3) x=190, <BOC=85
4) x=177, <TOU=31
5) x=61, <LOM=110
6) x=55, <DOE=117
For breakfast one morning, mum made 10 rotis. Rahul ate 1 1/2 rotis, Priya ate 2
rotis and Aman ate 3 1/4 rotis.
1. How many rotis did the children eat in total?
2. How many rotis were left?
A cylinder has a base radius of 6 feet and a height of 12 feet.What is it's volume in cubic feet, to the nearest tenths place
Answer:
[tex]volume = \pi {r}^{2} h \\ = 3.14 \times {6}^{2} \times 12 \\ = 1357.2 \: {ft}^{3} [/tex]
choose the appropriate postulate of the following pair lf triangles are congruent.
Answer:
ASA
Step-by-step explanation:
they share the side in the middle (reflexive property) and have two congruent angles
A: A
B: B
C: C
D: D
Show work!
Answer: A
Step-by-step explanation:
Area of a triangle is base times height
We have a base made by point m and n with a length of 6
now the third point has to form a height which when put with the base, gets you 18
area of triangle is bh/2
so lets set height as h, 6x/2 = 18 6x = 36 x = 6
This means the point has to be 6 apart either left or right. Only point that matches this is a.
I need help... This is annoying
Plzzzz
Answer:
the required height is 6.7m.
Answer:
The height requirement is 6.7m.
explanation:
Hope it helps have a great day :)
If the function f(2x + 3) = 3x- 8, find f -¹(x)
Answer:
(2x + 35)/3
Step-by-step explanation:
f(2x + 3) = 3x - 8
= 3(2x)/2 - 8
= 3(2x + 3 - 3)/2 - 8
= 3(2x + 3)/2 - 3(3)/2 - 8
= ( 3(2x + 3) - 25)/2
Therefore, f(x) = (3x - 25)/2
Let f(x) = (3x - 25)/2 = y
Therefore,
x = (2y + 35)/3 = f(y)
Hence,
f-¹(x) = f(y) = (2y + 35)/3
Just by merely replacing y,
f-¹(x) = (2x + 35)/3
Answer:
Step-by-step explanation:
[tex]let~g(x)=2x+3,~ then~f\circ g(x)=f(g(x)=3x-8\\\\[/tex]
lets assume that f(x) is a line, so f(x)=mx+b
[tex]f(g(x))=m(2x+3)+b=2mx+3m+b=3x-8[/tex]
the follow equation system results:
[tex]2m=3 \\ 3m+b=-8[/tex]
[tex]m=\frac{3}{2}\\\\b=-\frac{25}{2}[/tex]
finally:
[tex]y=f(x)=\frac{3}{2}x-\frac{25}{2}[/tex]
now is time to calculate the inverse function:
[tex]y=\frac{3}{2}x-\frac{25}{2}=>2y+25=3x=>x=\frac{2}{3}y+\frac{25}{3}[/tex]
so
[tex]f^{-1}(x)=\frac{2}{3}x+\frac{25}{3}[/tex]
Can someone please help me? thank you
Answer:
c = (ef-ab)/d
Step-by-step explanation:
ab+cd = ef
Subtract ab from each side
ab+cd -ab = ef-ab
cd = ef-ab
Divide by d
cd /d =(ef-ab)/d
c = (ef-ab)/d
Cho tam giác ABC vuông cân tại A
Cạnh đáy BC 5cm, AB 7cm. Tính diện tích
Answer:
7 × 5 :2 it is the answer ,i love you
Sum of two numbers is 84. If one of the numbers exceeds the other by 12, the numbers are
Answer:
54 and 30
Step-by-step explanation:
84÷2=42-12=30
42+12=54
Express the given set in roster form.
Answer:
E= { 13 , 14 , 15 , .........94 }Step-by-step explanation:
hope it may help u
please mark as brainlist
(๑˙❥˙๑)
Select the statement that represents all the solutions of the inequality. d < 7 all rational numbers equal to 7 all integers less than 7 all rational numbers greater than 7 all rational numbers less than 7
the answer is :
all rational numbers less than 7
have a good day <3
Aspongebob at the bottom of the sea
Step-by-step explanation:
In a plain, robust, conversational style, the author known as “Elena Ferrante” has captivated readers worldwide with her chronicle of a complicated friendship between two women.
Answer:
Step-by-step explanation:
anything 1-6
When individuals in a sample of 150 were asked whether or not they supported capital punishment, the following information was obtained. Do you support capital punishment? Yes No No Opinion Number of individuals 40 60 50 We are interested in determining whether or not the opinions of the individuals (as to Yes, No, and No Opinion) are uniformly distributed. 12. Refer to Exhibit 12-1. The calculated value for the test statistic equals a. 2 b. -2 c. 20 d. 4 Answer: 13 Refer to Exhibit 12-1. The number of degrees of freedom associated with this problem is a. 150 b. 149 c. 2 d. 3 Answer: Refer to Exhibit 12-1. The p-value is a. larger than 0.1 b. less than 0.1 c. less than 0.05 d. larger than 0.9 Answer: Refer to Exhibit 12-1. The conclusion of the test (at 95% confidence) is that the
a. distribution is uniform
b. distribution is not uniform
c. test is inconclusive
d. None of these alternatives is correct.
Answer:
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bhjn
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bjj
bhj
let f(x)=x-1 and g(x)=x^2+1
f(g)=___
Answer:f(g)=2
Step-by-step explanation:
