The fourth option:
y=-3x+21 is correct.
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
[tex]y=\stackrel{\stackrel{m}{\downarrow }}{-3} x+4\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so we're really looking for the equation of a line whose slope is -3 and that it passes through (9 , -6)
[tex](\stackrel{x_1}{9}~,~\stackrel{y_1}{-6})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{- 3}(x-\stackrel{x_1}{9}) \implies y +6= -3 (x -9) \\\\\\ y+6=-3x+27\implies {\LARGE \begin{array}{llll} y=-3x+21 \end{array}}[/tex]
Find the average rate of change of the function f(x) = 8x from x₁ = 0 to X₂ = 3.
Answer:
Step-by-step explanation:
average rate = f(3) - f(0) / 3 - 0 = 24 - 0 / 3 - 0 = 24 / 3 = 8
How many elements belong to set A but not set B?
According to the venn diagram 21 elements belong to set A but not set B.
A Venn diagram is a diagram that helps us visualize the logical relationship between sets and their elements and helps us solve examples based on these sets. A Venn diagram typically uses intersecting and non-intersecting circles (although other closed figures like squares may be used) to denote the relationship between sets.
The given information is U = 23, n(A)= 21+ 5= 25 and n(B)= 15+5 =20
We have to find how many elements belong to set A but not set B.
In the given Venn diagram , The elements belong to set A but not set B is 21
The elements belong to set A but not set B is 21
To know more Venn diagram questions https://brainly.com/question/1605100
#SPJ1
Fran the Fearless has a well-known act at a local zoo. As part of the act, Fran handles a scary animal that she picks at random out of the Box of Terror. The following animals are in the box: 6 poisonous snakes, 8 nonpoisonous snakes, 11 poisonous spiders, and 4 nonpoisonous spiders. What is the probability that the animal Fran picks is poisonous or is a snake?
0.620 is the probability that the animal Fran picks is poisonous or is a snake .
How does probability explain work?
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about how probable an event is to happen, or its chance of happening.Total animal = ( 6 + 8 + 11 + 4 ) = 29
Let, p = Event of poisonous animal
s = event of spider
p U s = event of poisonous or spider
p ∩ s = event of poisonous or spider
n(P) = No of poisonous = ( 6 + 11 ) = 17
n(S) = No of spider = ( 8 + 4 ) = 12
n(P ∩ S) No of poisonous spider = 11
Then , P [ P ] = 17/29 , P [S ] = 12/29 P [ P ∩ S ] = 11/29
P [ poisonous or spider ]
= P [ P ∪ S ] = P [P] + P [ S ] - P [ P ∩ S ]
= 17/29 + 12/29 - 11/29
= 18/29 = 0.620
Learn more about probability
brainly.com/question/11234923
#SPJ1
(2,8) (-4,-7) 5:3 weighted average
The weighted average is -33.
given,(2,8)(-4.-7)and their weighted average is 3:5
Weighted average is a calculation that takes into account the varying degrees of importance of the numbers in a data set. In calculating a weighted average, each number in the data set is multiplied by a predetermined weight before the final calculation is made.
(2,8)x5=10+40
=50
(-4,-7)x3=-12-21
=-33
therefoe, the weighted average is -33.
The average is the sum of all individual observations divided by the number of observations. In contrast, the weighted average is observation multiplied by the weight and added to find a solution.
to know more about average;
visit ;brainly.com/question/17387867;
#SPJ9
Trey is assembling furniture, and the table below shows the
length of parts A-D. Record the letter of the part that is the
longest.
PART
LENGTH (IN.)
A
277
B
1.3
C
1.15
D
21
20
The longest part is Part B, which is a little longer than Part A.
What is the length?The length is the measure of distance or total time from one point to another.
For example, when measuring dimensions, the length also shows the longest side of an object, especially the rectangle.
Together with the width, the length can be used to determine the area of an object or its perimeter.
Part A B C D
Length (IN.) 1²/₇ 1.3 1.15 ²¹/₂₀
Convert all lengths (A and D) into decimals:
Part A B C D
Length (IN.) 1.29 (1²/₇) 1.3 1.15 1.05 (²¹/₂₀)
Part B's length is the most extended length, followed by Part A, Part C, and lastly, Part D.
Thus, the most extended length of the four parts is Part B.
Learn more about length at https://brainly.com/question/24259483 and https://brainly.com/question/2217700
#SPJ1
Question Completion:Part A B C D
Length (IN.) 1²/₇ 1.3 1.15 ²¹/₂₀
Giving point asap , please asnwer
5 is added to the cube of a number
Answer:
x^3 + 5
Explanation:
find (f+g) (x) for f(x)=1/x and g(x)=x^4
Given the functions f(x) = 1/x and g(x) = x⁴, the function operation ( f + g )(x) is x⁴ + 1/x.
What is the function operation ( f + g )(x)?Given the functions in the question;
f(x) = 1/xg(x) = x⁴( f + g )(x) = ?To evaluate f + g, replace the function designators in f + g with the actual functions and simplify
( f + g )(x) = f(x) + g(x)
( f + g )(x) = ( 1/x ) + ( x⁴ )
Remove the parenthesis
( f + g )(x) = ( 1/x ) + ( x⁴ )
( f + g )(x) = 1/x + x⁴
Reorder 1/x and x⁴
( f + g )(x) = 1/x + x⁴
( f + g )(x) = x⁴ + 1/x
Given the functions f(x) = 1/x and g(x) = x⁴, the function operation ( f + g )(x) is x⁴ + 1/x.
Learn more about composite function here: brainly.com/question/20379727
#SPJ1
Use the segment addition postulate to solve for the length of BC, if AC = 16, BC = x + 11, and AB = 3x-7.
Answer: Can u pls help me withe my question?
Step-by-step explanation:
25
x 120°
y = [? ]º???
Answer:
Step-by-step explanation:
Answer: the sum of one interior angle and one exterior angle is 180. x+120=180. x=180-120. x=60°. sum of angles in a triangle is 180.
9/14×7/6 in the simplest form
Answer:
3/4
Step-by-step explanation:
[tex]\frac{9}{14} \times \frac{7}{6} \\ \\ =\frac{3}{14} \times \frac{7}{2} \\ \\ =\frac{3}{2} \times \frac{1}{2} \\ \\ =\frac{3}{4}[/tex]
For the following two numbers, find two factors of the first number such that their product is the first number and their sum is the second number.
60,19
You can't remember how many rides you went on at the amusement park. But, you know that each ride cost $3 and it cost $20 to get into the park. How many rides did you go on if you spent a total of $41?
Answer:
7 Rides
Step-by-step explanation:
Alright so you can already take out 20 bucks out of 41, so 21 bucks left. Then it's simple division, 21 / 3 = 7. You went on 7 rides. Hope this helps. Have a great night. :)
Answer:
7 rides!
Step-by-step explanation:
Our equation: 20+3x=41
x= the number of rides you went on
41-20= 21
21/3=7
Therefore, you went on 7 rides :))
Find the value of x.
X
38°
75°
Answer:
67
Step-by-step explanation:
Angles in a triangle add to 180°.
24 × (-2) × 5 ÷ (-6)
Answer:
40
Step-by-step explanation:
Work from left to right.
24* (-2)*5/(-6)= -48*5/(-6)
-48*5/(-6)=-240/(-6)
-240/(-6)=40
I NEED HELP IM A 4th grader pls help
If the distance traveled is (4s3 - 6s² + 4s + 14) miles and the rate is (s + 1) mph, write an expression, in hours, for the time traveled.
The equation for time is URM:
[tex]time = \frac{distance}{speed \: (rate)} [/tex]
[tex]t(s) = \frac{4s {}^{3} - 6s {}^{2} + 4s + 14}{s + 1} = \frac{2(s + 1)(2s {}^{2} - 5s + 7) }{s + 1} \\ t(s) = 2(2s {}^{2} - 5s + 7) \\ t(s) = 4s {}^{2} - 10s + 14[/tex]
I need help I don’t understand
Answer: use your brain you can do it
Step-by-step explanation:
anything is possable with the power of imagination
136 divided by -10 - 7 need help fast
Answer:
136÷-10-7=-20.6
Step-by-step explanation:
.........
Andre is guaranteed a minimum weekly salary of $400 plus 3.5% of his total sales. If he
sold $5740 worth of merchandise one week, what is his gross pay for that week.
If the observed (actual) y value is 10, and the predicted value is 14, what is the residual?
The residual value with an actual value of 10 and a predicted value of 14 will be 4. Then the correct option is D.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
We know that the difference between the predicted value and to actual value is known as the residual value.
Residual value = Predicted value - Actual value
If the observed (actual) y value is 10, and the predicted value is 14. Then the residual value will be
Residual value = 14 - 10
Residual value = 4
The residual value will be 4. Then the correct option is D.
The complete question was attached below.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ1
solve for f f/5=-8 need help asap
Step-by-step explanation:
[tex] \frac{f}{5} = - 8[/tex]
[tex]f = - 8 \times 5[/tex]
[tex]f = - 40[/tex]
2 Determine the area of the square ABCD with AB=3cm. A 3cm B D C
The area of the given square is a 9.
According to the statement
We have to find that the area of the square.
So, For this purpose, we know that the
Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
From the given information:
The square ABCD with the side AB=3cm. A 3cm B D C
Then
we know that the all the sides of the square all equals.
Then
AB=3cm = BC=CD=DA
Then
Area of the square = side*side
Area of the square = 3*3
Now,
The value of the Area of the square = 9.
So, The area of the given square is a 9.
Learn more about Area here
https://brainly.com/question/8409681
#SPJ9
Adrian scored 40% of the goals by his soccer team. if his team scored a total of 60 goals during the season, how many did adrian score ? show your work
Answer:
24 goals
Step-by-step explanation:
40/100×60=Adrians goals(g)
g=2400/100
=24
Step-by-step explanation:
24 goals in total I think.
The wholesale cost of a bicycle is $98.75. The markup for the bicycle is 33.3%. Find the selling price of the bicycle to the nearest cent.
The selling price of the bicycle in discuss upon addition of the mark-up which is 33.3% as described in the task content is; $131.63.
What is the selling price of the bicycle whose mark-up is as described in the task content?The wholesale cost price of the bicycle in discuss is $98.75 as described in the task content while the markup for the bicycle is as given in the task content.
On this note, it follows that the selling price of the bicycle is the sum of its cost price and it's mark-up. Hence, we have;
Selling price = $98.75 + (33.3% of $98.75)
= $98.75 + (0.333 × $98.75)
= 98.75 + 32.88
= $131.63.
Ultimately, selling price of the bicycle in discuss upon addition of the mark-up which is 33.3% as described in the task content is; $131.63.
Read more on percentages;
https://brainly.com/question/22603224
#SPJ1
Pls help I suck at math
a) The first five terms of the sequence are 1, 3, 9, 27 and 81.
b) The first five terms of the sequence are 1, - 1, - 3, - 5 and - 7.
c) The first five terms of the sequence are 1, 3, 7, 15 and 31.
d) The first five terms of the sequence are 1, 2, 5, 26 and 677.
e) The first five terms of the sequence are 1, 3, 7, 13 and 21.
How to find the first five terms of a series by a recurrence formula
Recurrence formulas are expressions that generates an element of a sequence in terms of previous elements of the series. Now we proceed to calculate the first elements of each sequence:
Case A
n = 1
a(1) = 1
n = 2
a(2) = 3 · a(1)
a(2) = 3
n = 3
a(3) = 3 · a(2)
a(3) = 9
n = 4
a(4) = 3 · a(3)
a(4) = 27
n = 5
a(5) = 3 · a(4)
a(5) = 81
The first five terms of the sequence are 1, 3, 9, 27 and 81.
Case B
n = 1
b(1) = 1
n = 2
b(2) = - 2 + b(1)
b(2) = - 1
n = 3
b(3) = - 2 + b(2)
b(3) = - 3
n = 4
b(4) = - 2 + b(3)
b(4) = - 5
n = 5
b(5) = - 2 + b(4)
b(5) = - 7
The first five terms of the sequence are 1, - 1, - 3, - 5 and - 7.
Case C
n = 1
c(1) = 1
n = 2
c(2) = 2 · c(1) + 1
c(2) = 3
n = 3
c(3) = 2 · c(2) + 1
c(3) = 7
n = 4
c(4) = 2 · c(3) + 1
c(4) = 15
n = 5
c(5) = 2 · c(4) + 1
c(5) = 31
The first five terms of the sequence are 1, 3, 7, 15 and 31.
Case D
n = 1
d(1) = 1
n = 2
d(2) = [d(1)]² + 1
d(2) = 2
n = 3
d(3) = [d(2)]² + 1
d(3) = 5
n = 4
d(4) = [d(3)]² + 1
d(4) = 26
n = 5
d(5) = [d(4)]² + 1
d(5) = 677
The first five terms of the sequence are 1, 2, 5, 26 and 677.
Case E
n = 1
f(1) = 1
n = 2
f(2) = f(1) + 2 · 2 - 2
f(2) = 3
n = 3
f(3) = f(2) + 2 · 3 - 2
f(3) = 7
n = 4
f(4) = f(3) + 2 · 4 - 2
f(4) = 13
n = 5
f(5) = f(4) + 2 · 5 - 2
f(5) = 21
The first five terms of the sequence are 1, 3, 7, 13 and 21.
To learn more on recurrence series: https://brainly.com/question/16931362
#SPJ1
Can someone help with this question?✨
Answer:
-3/4
Step-by-step explanation:
From a point on the graph, count down and count right until you get to a another point. For example, for this problem, you can use (0,-2) as a starting point. From here, if you go down 3 and go right 4, you get another point on the graph. So, the slope is -3/4.
I will give brainlist
Write 'five more than three times a number equals 21' as an equation.
3x + 5 = 21
5x + 3 = 21
3x(5) = 21
5x(3) = 21
Answer:
I think it's 3x + 5 = 21 because three times a number would be 3x so that would eliminate options 2 & 4, then it says five more than three which would be adding five so that would only leave option 1 so that should be your answer
Hope this helps and may God bless you<3
Finding Values of Sum and Difference Functions:
Answer all 3 questions on the picture:
Answer:
5917Step-by-step explanation:
Given functions h(x)=x²+1 and k(x)=x-2, you want the values of (h+k)(2), (h-k)(3) and 3h(2)+2k(3).
Function evaluationThe value of a function f(x) is found by substituting the argument value for x in the function definition, then doing the arithmetic.
The value of a sum or difference of functions is the sum or difference of the values of those functions for the given argument.
(h+k)(2)(h+k)(2) = h(2) +k(2) = (2²+1) +(2 -2) = 5 +0 = 5
(h-k)(3)(h-k)(3) = h(3) -k(3) = (3² +1) -(3 -2) = 10 -1 = 9
3h(2) +2k(3)3h(2) +2k(3) = 3(2² +1) +2(3 -2) = 3(5) +2(1) = 17
Question
Write the inequality shown by the shaded region in the graph with the boundary line y = -3x - 4.
Provide your answer below:
-10 -5
10
-10
y
5
10
I
We get the inequality as:
y > -3x - 4y < -3x - 4y ≥ -3x - 4y ≤ -3x - 4There is no image to refer. So, here answering in general way.
Given,
The boundary line, y = -3x - 4
We can have 4 cases:
1) A dashed line and the shaded part is above the line.
y > -3x - 4
2) A dashed line and the shaded part is below the line
y < -3x - 4
Here we have dashed lines because the values of the line are not solutions for the inequality.
3) A solid line and the shaded part is above the line.
y ≥ -3x - 4
4) A solid line and the shaded part is below the line.
y ≤ -3x - 4
Here we have solid lines because the values in the line itself are solutions.
Learn more about lines here:
https://brainly.com/question/21482432
#SPJ1