Answers
[tex]y = \frac{-4}{3} x + \frac{12}{3} [/tex]
The y intercept simplifies to 4
y-int = 4
Related Questions
1 .
Factor 13x⋅(x−3)+10⋅(x−3)
2.
Factor 17t⋅(17t−9)−12⋅(17t−9)
Answers
helppppppppppppppppp
Answers
y = 3cos (x) +3.
For x = 0 we have:
y = 3cos (0) +3.
y = 3 + 3
y = 6
For x = pi we have:
y = 3cos (pi) +3.
y = -3 + 3
y = 0
Answer:
y = 3cos (x) +3.
option 2
A line has a slope of - 3/5. Which ordered pairs could be points on a parallel line? Check all that apply.
A). (–8, 8) and (2, 2)
B). (–5, –1) and (0, 2)
C). (–3, 6) and (6, –9)
D). (–2, 1) and (3, –2)
E). (0, 2) and (5, 5)
I think it's A, but I'm not sure. Please help, I'll pick Brainliest! :-P
Answers
The ordered pairs will be the points on the parallel line are
(-8, 8) and (2, 2)
(-2, 1) and (3, -2)
What is the slope of a line?A slope of a line is the change in y coordinate with respect to the change in x coordinate.
How to find the slope of line from the two points?If [tex](x_{1} ,y_{1} )[/tex] and [tex](x_{2} , y_{2} )[/tex] be the two points then the slope of the line is given by
[tex]slope = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
According to the given question.
We have slope of a line is [tex]\frac{-3}{5}[/tex].
As, we know that the two parallel lines have the same slope.
Now according to the given ordered pairs
A). (-8, 8) and (2, 2)
[tex]slope = \frac{2-8}{2+8} = \frac{-6}{10} =\frac{-3}{5}[/tex]
Therefore, (-8, 8) and (2, 2) are the ordered pairs could be the points on the parallel line.
B) (-5, -1) and (0, 2)
[tex]slope = \frac{2+1}{0+5} =\frac{3}{5} \neq \frac{-3}{5}[/tex]
Hence, the ordered pair (-5, -1) and (0, 2) will never be the points on the parallel line.
C) (-3, 6) and (6, -9)
[tex]slope = \frac{-9-6}{6+3} =\frac{-15}{9} =\frac{-5}{3}\neq \frac{-3}{5}[/tex]
The ordered pair (-3, 6) and (6, -9) will never be the points on the parallel line.
D). (-2, 1) and (3, -2)
[tex]slope = \frac{-2-1}{3+2} =\frac{-3}{5}[/tex]
Therefore, (-2, 1) and (3, -2) are the ordered pairs could be the points on the parallel line.
E). (0, 2) and (5, 5)
[tex]slope = \frac{5-2}{5-0} =\frac{3}{5} \neq \frac{-3}{5}[/tex]
Therefore, (0, 2) and (5, 5) are the ordered pairs could not be the points on the parallel line.
Hence, the ordered pairs will be the points on the parallel line are
(-8, 8) and (2, 2)
(-2, 1) and (3, -2)
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To determine if the given ordered pairs could be points on a parallel line with a slope of -3/5, we can calculate the slope of each line and compare it to the original slope. The pairs (D) (-2, 1) and (3, -2) have a slope of -3/5, making them parallel.
Explanation:A line with a slope of -3/5 is a line that slopes downwards from left to right. In order for a line to be parallel to this line, it must have the same slope. To determine if the given ordered pairs could be points on a parallel line, we can calculate the slope of each line and compare it to the slope of the original line.
B) (-5, -1) and (0, 2): The slope of this line is (2 - (-1))/(0 - (-5)) = 3/5, which is different from the original slope of -3/5. Therefore, this line is not parallel.
D) (-2, 1) and (3, -2): The slope of this line is (-2-(-2))/(3-(-2)) = -3/5, which is equal to the original slope of -3/5. Therefore, this line is parallel.
E) (0, 2) and (5, 5): The slope of this line is (5 - 2)/(5 - 0) = 3/5, which is different from the original slope of -3/5. Therefore, this line is not parallel.
So, the parallel lines are (D) (-2, 1) and (3, -2).
The difference between three times a number and 7 is 14
Answers
Hoped this helped!
3x=21
———-
3. 3
X=7
Investments are different from savings accounts in that they _____.
A. guarantee never to lose money
B. are FDIC-insured
C. can only be accessed online
D. offer high profit potential
@Loveiskey18
Answers
A surveyor standing 63 meters from the base of a building measures the angle to the top of the building and finds it to be 38°. the surveyor then measures the angle to the top of the radio tower on the building and finds that it is 48°. how tall is the radio tower?
Answers
If you draw a picture of the problem, you will see that you have to solve two right triangle problems with the tangent ratio.
If we subtract the measurements of the two triangles, we will have only the length of the radio tower.
tan(48) = x / 63
x = 69.97
tan(38) = x / 63
x = 49.22
69.97 - 49.22 = 20.77 for the height of the radio tower
A television production company charges a basic fee of $4000 and then $2000 per hour when filming a commercial.
A. Write an equation in slope-intercept form relating the basic fee and per-hour charge.
B. Graph your equation
C. Use your graph to find the production costs if 4 hours of filming were needed.
Please help me! I don't understand anything that i am learning right now and its all just confusing
Answers
b. graphing
c. $12,000
Hope this helped☺☺
The equation in slope - intercept form is as - y[h] = 2000h + 4000 and for 4 hours of filming, the production cost would be $12000.
What is Equation Modelling?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is a television production company charges a basic fee of $4000 and then $2000 per hour when filming a commercial.
Assume that the number of hours required for filming the commercial be [h]. Then, we can write, the equation as follows -
y[h] = 2000h + 4000
The graph of the equation is attached with the answer.
For 4 hours of filming, the production cost would be -
y[4] = 2000 x 4 + 4000 = 8000 + 4000 = 12000
Therefore, the equation in slope - intercept form is as - y[h] = 2000h + 4000 and for 4 hours of filming, the production cost would be $12000.
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Jason's current yearly income is $13,000...If Jason’s training will allow him to get a job making $34,000 a year, how long will it take him to recover his initial investment of $35,200?
Answers
First, find the amount of extra money that he will make.
34,000 - 13,000 = 21,000
He will be making an extra 21,000 per year.
Now, divide the cost of his training by the amount of his increase.
35200 / 21000 = 1.68
That gives you the amount of years it will take him to pay off his investment.
help, please show how to find x, thank you
Answers
now, notice the angle at the very top, the large triangle is really sharing it with smaller-inscribed triangle, and therefore is equal on both triangles.
therefore, the larger triangle, is similar with smaller-inscribed triangle by AA.
what the dickens does that mean?
[tex]\bf \cfrac{large}{small}\qquad \cfrac{4+5}{4}=\cfrac{5+x}{5}\implies \cfrac{9}{4}=\cfrac{5+x}{5}\implies 45=20+4x \\\\\\ 25=4x\implies \cfrac{25}{4}=x\implies 6\frac{1}{4}=x[/tex]
4400 dollars is placed ina an account with an annual interest rate of %8.25. How much will be in the account after 29 years
Answers
Answer: 43839.13
Step-by-step explanation:
Final answer:
To calculate the amount in the account after 29 years, use the formula for compound interest. The amount in the account will be approximately $40,882.53.
Explanation:
To calculate the amount in the account after 29 years, we can use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal (initial amount), r is the annual interest rate (as a decimal), n is the number of times interest is compounded per year, and t is the number of years. In this case, the principal is $4400, the annual interest rate is 8.25%, and since it is not specified, we'll assume interest is compounded annually. So, the formula becomes:
A = 4400(1 + 0.0825/1)^(1*29)
To calculate this, we can enter the expression into a calculator or spreadsheet:
A = 4400(1 + 0.0825)^(29)
After evaluating this expression, we find that the amount in the account after 29 years will be approximately $40,882.53.
Simplify each expression. Use positive exponents.
(x–2y–4x3) –2,
Answers
(x^-2y^-4x³)^-2
We can combine the x terms inside the brackets using the concept;
x ^a × x^b = x^(a+b)
Therefore,
(x^-2)(x^3) = x^(3-2) = x^!
Thus we get;
(xy^-4)^-2
Using the concept
(x^a)^b = x^(ab)
Therefore
= x ^(-2×1) y^(-2×-4)
=x^-2y^8
But using the concept; x^-a = 1/x^a
Thus, x^-2y^8 = y^8/x²
Hence the simplified equation is;
= y^8/x²
Help me
Show all your work
Answers
3x +10x -2=11
3x+10x=13
13x=13
X=1
y = 5x-1
For this case, the first thing you should do is replace the value of y in the first equation.
We have then:
3x + 2 (5x-1) = 11
We rewrite:
3x + 10x-2 = 11
3x + 10x = 11 + 2
3x + 10x = 13
We clear x:
13x = 13
x = 13/13
x = 1
We now substitute the value of x in expression 2:
y = 5 (1) -1
y = 5-1
y = 4
Answer:
The solution to the system of equations is:
x = 1
y = 4
Sean has 3 times as many vegetable plants as Liz and Sejuan combined. Liz has 3 vegetable plants, and Sejuan has 2 vegetable plants. How many vegetable plants does Sean have?
Which statements about this word problem are true? Check all that apply.
This is an example of a part-whole problem.
This is an example of a comparison problem.
Addition then multiplication can be used to solve the problem.
Subtraction then division can be used to solve the problem.
Division then multiplication can be used to solve the problem.
Answers
This is a comparison problem in mathematics where addition and multiplication are used. Liz and Sejuan together have 5 vegetable plants and since Sean has 3 times what both of them have combined, Sean has 15 vegetable plants.
Explanation:The problem at hand is about a comparison of the number of vegetable plants between Sean, Liz and Sejuan. It's an example of a comparison problem where addition and multiplication are used to find the solution. First, you need to find the total number of plants that Liz and Sejuan have by adding their plants together (3 + 2). We get a result of 5. Then, we know that Sean has 3 times as many plants as Liz and Sejuan together, so you multiply the combined total by 3 (5 * 3). The result is 15, so Sean has 15 vegetable plants.
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PLEASE HELP ME ON THIS‼️❗️
Answers
Tickets to a movie cost $7.25 for adults and $5.50 for students. a group of friends purchased 8 tickets for $52.75. how many adult tickets did they purchase?
Answers
A student solved this problem and said the answer was hour 3/4. Cindy rode her bike for 1/2 hour and ran for 1/4 hour. What was the total length of time that Cindy exercised? Is the student's answer reasonable?
A. Yes, the answer is reasonable.
B. No, the answer is not reasonable. It should be about 2 hours.
C. No, the answer is not reasonable. It should be about 1/4 hour.
D. No, the answer is not reasonable. It should be about 6 hours.
Answers
1/2=2/4 - equivalent fractions
2/4+1/4=3/4
choice A
Cindy rode her bike for 1/2 of an hour,
She ran 1/4 of an hour.
1/2 + 1/4 = 3/4
The answer is A
Hope this helps :)
What is the value of x?
1/3 (Square root of 2) units
1/2 (Square root of 3) units
2 (Square root of 3) units
3 (Square root of 2) units
Answers
x = 3 (Square root of 2) units
Answer:
[tex]3[/tex] (Square root of [tex]2[/tex]) units
Step-by-step explanation:
we know that
The larger triangle is an isosceles right triangle
so
Applying the Pythagoras Theorem
[tex]6^{2} =x^{2} +x^{2} \\ 36=2x^{2} \\18=x^{2}\\x=\sqrt{18}\ units \\x=3\sqrt{2}\ units[/tex]
Vesna vulovic survived the longest fall on record without a parachute when her plane exploded and she fell 6 miles and 551 yards. how many feet is this?
Answers
1 yard = 3 feet
so 3 times 11,111 = 33,333 feet
For f(x)=2x+1 and g(x)=x+14 , find (g o f) (x).
Answers
Answer:
(g o f) (x) = 2x + 16
Step-by-step explanation:
" (g o f) (x) )" is called "the composition of f and g."
Evaluating this involves substituting the function f(x) = 2x + 1 for x in g(x) = x+14:
(g o f) (x) = 2(x+1) + 14, or
(g o f) (x) = 2x + 2 + 14, or
(g o f) (x) = 2x + 16
Answer:
2x+29
Step-by-step explanation:
a p e x
The figure below shows half circles at the ends of a rectangle with the demensions shown. Which is closest to the area of the figure in square inches?
75
95
106
154
Answers
PLEASE HELP ME
If strictly practiced, which of the following methods of birth control is 100 percent effective?
abstinence
condoms
withdrawal
diaphragm with spermicide
Answers
Write each of the following expressions without using the absolute value sign. |x−4| if x>4. PLEASE INCLUDE EXPLANATION!!!
Answers
I'm right.
Heron’s formula: Area = Triangle PQR has sides measuring 9 feet and 10 feet and a perimeter of 24 feet. What is the area of triangle PQR? Round to the nearest square foot.
Answers
Let's assume a,b,c the 3 sides of the triangle.
a=9
b=10
c=24-a-b=5
[tex]p= \dfrac{a+b+c}{2} =12\\ S= \sqrt{p(p-a)(p-b)(p-c)} = \sqrt{12*3*2*7} = \sqrt{504} =22,4499...\approx{22}[/tex]
Determine if the properties define a Ray or a line segment
Answers
a line segment has 2 endpoints and a defined measure
A ray in geometric optics represents the path of light as a straight line originating from a point, while a line segment is a part of a line with two endpoints and a measurable length. The properties mentioned can be used to determine if they define a ray or a line segment.
Explanation:A ray in geometric optics is a straight line that originates at some point. In the context of light, a ray represents the path of light as it travels. When light encounters objects or changes media, it may change direction but it continues to travel in a straight line or as a ray. We can think of a ray of light as a straight line or a laser ray.
A line segment, on the other hand, is a part of a line with two endpoints. It has a definite length and can be measured. In the context of light, a line segment would indicate a finite path of light.
Given the properties mentioned, we can determine if they define a ray or a line segment. If the properties describe a straight line with no defined endpoints, it is a ray. If the properties suggest a line with two endpoints and a measurable length, it is a line segment.
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Quadrilateral RSTU is a rectangle with diagonal RT. If 8x + 4 and = 3x – 2, find x
Answers
Answer:
did u ever find the asnwer? cuz I need it rn
Step-by-step explanation:
How many triangles are formed by dawing all the diagonals from a single vertex of a convex polygon
Answers
(n-2) triangles can be formed by drawing all the diagonals from a single vertex.
What is Polygon?a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.
Given a convex polygon with n vertices, the number of triangles that can be formed by drawing all the diagonals from a single vertex can be calculated.
a diagonal is a line segment joining two vertices of a polygon or polyhedron, when those vertices are not on the same edge
Let's consider a convex polygon with 4 vertices.
(n-2) triangles can be formed by drawing all the diagonals from a single vertex.
Hence, (n-2) triangles can be formed by drawing all the diagonals from a single vertex.
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ABC is an isosceles right triangle in which AB has a slope of -1 and angle ABC = 90 degrees. Triangle ABC is dilated by a scale factor of 1.8 with the origin as the center of dilation, resulting in the image A'B'C'. What is the slope of B'C'?
Answers
This kind of transformation results in a similar figure.
So the triangle A'B'C' will be similar to triangle ABC: which means that all the angles are preserved (thy are congruent).
Being the angles congruent the slope of B'C' will be the same angle of BC.
Since, the slope of AB is - 1, the other two sopes are one 0 and the other undefined (∞). The horizontal side has slope 0 and the vertical side has slope ∞.
Since you did not attache any figure I do not know whether B'C' is the horizontal or the vertical side.
The answer is that the slope of B'C' is zero if it is the horizontal side, and the slope is ∞ if B'C' is the vertical side.
Answer:
Slope of 1
Step-by-step explanation:
C. 1
Jake forgot to replace the cap on a bottle of deodorant. The deodorant began to evaporate at the rate of 12% per day. If the original amount of deodorant in the bottle was 30 grams, which of the following graphs best represents the amount of deodorant f(x) that would remain in the bottle after x days?
graph of function f of x equals 30 multiplied by 0.88 to the power of x
graph of exponential function going down from left to right in quadrant 1 through the point 0, 40 and approaching the x axis
graph of function f of x equals 50 multiplied by 0.82 to the power of x
graph of exponential function going down from left to right in quadrant 1 through the point 0, 4 and approaching the x axis
Answers
f(x) = 30(0.88)^x
Answer:
1. Graph of function f of x equals 30 multiplied by 0.88 to the power of x
Step-by-step explanation:
We are given that,
Original amount of deodorant in the bottle = 30 grams
The rate of evaporation = 12% = 0.12
That is, we see that the deodorant is decreasing as the number of days increases.
So, the function form of the decrease in the amount of deodorant is given by,
[tex]f(x)=30(1-0.12)^x[/tex], where x is the number of days.
i.e. [tex]f(x)=30(0.88)^x[/tex], where x is the number of days.
Hence, the graph representing the amount of deodorant after x number of days is,
1. Graph of function f of x equals 30 multiplied by 0.88 to the power of x
A patient needs 0.024grams of a sulfa drug. There are 8-mg tablets in stock. how many tablet should be given?,
Answers
what is the explicit formula and recursive formula of the numbers 4,7,10,13,16...i don't even know how to start this problem. i just need a bit of help or the answer because I'm running out of time.
Answers
An arithmetic sequence is a sequence with a constant
increase or decrease also known as the constant difference
In the sequence 10, 40, 70, 100, ….
The constant difference between the terms is 30
A recursive formula for a sequence would be:
a1= first term in the sequence
an = term you are trying to find
an-1 = previous term in the sequence
d = constant difference
Explicit Formulas:
A formula that allows you to find the nth term of the sequence by substituting known values in the expression.
Formula : an = a1 + d( n - 1)
a1= first term in the sequence
an = current term in the sequence
d = constant difference
n = term number
Solution:
Write the explicit formula of the sequence 4, 7, 10, 13, 16 ….
Formula for explicit term:
an = ___ + ___( n - 1)
Simplify: an = ___ + ___n
In the sequence 4, 7, 10, 13, ….
To find the 11th term explicitly, I plug in the into the formula I just made:
an = 1 + 3n
a11 = 1 + 3(11)
a11 = 34
Find the 15th term of the sequence using the formula: an = 1 + 3n
Write the recursive formula of the sequence 4, 7, 10, 13, ….
Recursive formula:
a1 =
an = a n - 1
In the sequence 4, 7, 10, 13, 16 ….
To find the 5th term recursively, I plug it into the formula I just made:
an = an-1 + 3
a5 = a5-1 + 3 in words: 5th term equals the 4th term plus 3
a5 = 13 + 3
a5 = 16
Recursive and Explicit Formulas for Arithmetic (Linear) Sequences