The question illustrates linear equation
The equation in point slope form is: [tex]\mathbf{ y - 1 = \frac 35 (x - 6)}[/tex]The equation in slope intercept form is: [tex]\mathbf{ y = \frac 35x - \frac{13}5}[/tex]The given parameters are:
[tex]\mathbf{m = \frac 35}[/tex] --- the slope
[tex]\mathbf{(x_1,y_1) = (6,1)}[/tex] -- the point it passes through
(a) The equation in point slope form
This is represented as:
[tex]\mathbf{ y - y_1 = m(x - x_1)}[/tex]
Substitute known values
[tex]\mathbf{ y - 1 = \frac 35 (x - 6)}[/tex]
So, the equation in point slope form is: [tex]\mathbf{ y - 1 = \frac 35 (x - 6)}[/tex]
(a) The equation in slope intercept form
In (a), we have:
[tex]\mathbf{ y - 1 = \frac 35 (x - 6)}[/tex]
Open brackets
[tex]\mathbf{ y - 1 = \frac 35x - \frac{18}5}[/tex]
Add 1 to both sides
[tex]\mathbf{ y = \frac 35x - \frac{18}5 + 1}[/tex]
Take LCM
[tex]\mathbf{ y = \frac 35x + \frac{-18 + 5}5}[/tex]
[tex]\mathbf{ y = \frac 35x + \frac{-13}5}[/tex]
[tex]\mathbf{ y = \frac 35x - \frac{13}5}[/tex]
Hence, the equation in slope intercept form is: [tex]\mathbf{ y = \frac 35x - \frac{13}5}[/tex]
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A function is a relation in which every input (x) has exactly one output (y).
True or False
A rectangle has an area of 182 square feet and a base of 13 feet. What is the height?
Answer:
14 feet
Step-by-step explanation:
Area= base x height
Height=area/base
182/13=14
helppp
what is the slope?
i need help 9th grade math
[tex]y2= m(x2 - x1) + y1[/tex]
Thus the third Option is the correct answer.
(ar^b)³ = 125r²⁴
where a and b are positive integers
work out a and b
I dont really care about the answer I just want the working out and the reason why
Answer:
a=5 b=8
Step-by-step explanation:
[tex] {(a {r}^{b} )}^{3} = 125 {r}^{24} [/tex]
[tex] {(a {r}^{b} )}^{3} = {5}^{3} {r}^{24} [/tex]
{125 = 5×5×5 = 5³}
[tex]{(a {r}^{b} )}^{3} = {(5 {r}^{8}) }^{3} [/tex]
{Taking 3 power outside to get 5r⁸}
{Then match the positive integer with a and b}
Therefore,
a= 5
b= 8
Someone plsss help me with this question ill mark brainlist
Answer:
In the file I attached
Step-by-step explanation:
It took John 725 minutes to complete his research paper for his college class. How many hours did it take John to complete his research paper? O 12.08 O 50.25 O 60.42 O 120.83
In the same shop(as in question 8) , under the same conditions of discount, find the marked price of the articles whose selling prices are given below.
where is the question??
1. if you add two polynomial functions, are they always a polynomial, or are they sometimes a polynomial, never a polynomial.
2. if you subtract two polynomial functions, are they always a polynomial, or are they sometimes a polynomial, never a polynomial.
EX: F(X) + G(X)
F(X) - G(X)
Answer:
They are always polynomial.
Step-by-step explanation:
adding , multiplying and subtracting polynomial function from another polynomial function always results polynomial. but you need to restrict the domain of the denominator function when you divide polynomial by another polynomial. it may not always result polynomial function.
Helppp
Im really stuck
Answer:
x=16
Step-by-step explanation:
it is like "x÷2=8"
so 8×2=x
and x=16
hope you understood coz i'm not a good teacher ^_^
Answer:
x = 1/4
Step-by-step explanation:
Given 2/x = 8:
Multiply both sides by x to eliminate the fraction:
[tex](x)(\frac{2}{x}) = 8(x)[/tex]
2 = 8x
Divide both sies by 8 to solve for x:
[tex]\frac{2}{8} = \frac{8x}{8}[/tex]
1/4 = x
To verify whether it is the correct answer, substitute x = 14 into the original equation:
[tex]\frac{2}{x} = 8[/tex]
[tex]\frac{2}{\frac{1}{4} } = 8[/tex]
2 * 4/1 = 8
8 = 8 (True statement).
Therefore, the correct answer is x = 1/4
Please mark my answers as the Brainliest if you find my solutions helpful :)
Question 5 of 10
Which of the following rational functions is graphed below?
Have you gotten your answer yet?
I'm pretty sure the answer is C, I'm not sure though.
The rational function which is graphed below is F(x)=1/x, the correct option is A.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Linear function is a function whose graph is a straight line
We are given that;
The graph of the function
Now,
Points on 4/x
The function y = 4/x is a hyperbola. It has two branches that extend infinitely in opposite directions. The x-axis and y-axis are both asymptotes of the hyperbola.
On y= 1/x-4
The function y = 1/(x - 4) is also a hyperbola. Its asymptotes are the vertical line x = 4 and the horizontal line y = 0.
On y = 1/(x + 4)
The function y = 1/(x + 4) is also a hyperbola. Its asymptotes are the vertical line x = -4 and the horizontal line y = 0.
Therefore, by the given graph function will be F(x)=1/x.
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3x + 4 = 5x + 10
OR
-5x + 7 > -3
Write the solution in interval notation. with explanation.
Answer:
(-infinity, 2) U [-3]
Step-by-step explanation:
Step 1: we want to solve both equations for x. To do so, get the x variable by itself in both equations.
1.) 3x+4 = 5x+10
-6 = 2x (subtract 10 from both sides and 3x from both sides)
-3 = x (divide 2 from both sides)
2.) -5x + 7 > -3
-5x > -10 (subtract 7 from both sides)
x < 2
(divide both sides by -5, notice that dividing by a negative by a negative number flips the direction on > to < .)
Step 2: apply interval notation to these answers. Since x DOES equal -3 in equation one, it'll be in a bracket. On the contrary, since x has to be LESS THAN 2, it will have a parentheses.
So, our answer is: (-infinity, 2) U [-3]
*note the parentheses around infinity because something cannot equal infinity, it's not just one number*
Please help me out with this.
45% of the rooms in a hotel are booked. If 36 rooms are booked, how many rooms are in a hotel altogether?
Answer:
80 rooms
Step-by-step explanation:
since 45% of the rooms are booked, and 36 rooms are booked, then this means that 36 = 45% of x.
then, you we have 45% × x = 36
or [tex]\frac{45}{100}[/tex] × x = 36
Multiplying both sides by 100 and dividing both sides by 45,
we have x = 36 × [tex]\frac{100}{45}[/tex]
= [tex]\frac{3600}{45}[/tex]
x = 80
2 1/7 x 3 1/3 Answer with a mixed number in simplest form
Step-by-step explanation:
15/7×10/3
LCM of 3,7 is 21
So, Make denominators equal
45×70/21
3150/21
150 by cancelling
40 points and brainliest
Note this has already been solved I need it graphed!
graph.
9.5 +x <−12
10.−4x >−24
11.4< x−6≤15
12.−15≥x+ 30≥10
13.|x+ 2x|<9
13.|x+ 2x|<9
What does 2^10/4^42 equal
Answer:
8^-32
Step-by-step explanation:
Someone pls help me with this I will make you brain
Answer:
You didn'ttell us the question
Step-by-step explanation:
where is the question?
NEED HELP ASAP *REAL ANSWERS PLS*
Solve the inequality: 22 – 3
Hello!
Answer:
22-3= 19
Step-by-step explanation:
Hope this helps!
Help stuck on this question
Is that geometry or algebra
Step-by-step explanation:
...
Plzz Help Me Questions No 2 i and I plzz
Answer:
i) k = -6
Step-by-step explanation:
12 = 2(1)^3 + 5(1)^2 - k(1) - 1 (Substitute 1 for x & set equal to 12)
12 = 2 + 5 - k - 1 (Clean)
12 = 6 - k (Add and substract numbers on the right side)
6 = -k (Subtract)
k = -6 (Divide by -1)
is 2/5 closer to 0 or 0.5
Answer:
closer to 0.5
Step-by-step explanation:
2/5 in decimal form is 0.4
Answer:
Two fifths is 0.4 so it is closer to 0.5 than it is to 0
Someone pls help me I will make you as brain
What is the distance between the points (24,14) and (24,-4) in the coordinate plane?
Answer:
18 units
Step-by-step explanation:
To find the distance between two points in the coordinate plane, you must use the distance formula, which is [tex]\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1})^{2}}[/tex], and substitute the points into the formula.
[tex]\sqrt{(24-24)^{2}+(-4-14)^{2} }[/tex]
[tex]\sqrt{(0)^{2}+(-18)^{2} }[/tex]
[tex]\sqrt{324} }[/tex]
[tex]18[/tex] [tex]units[/tex]
I hope this helps you out! Have an awesome day ;)
Malik is building a ramp with a base of 4 feet and a vertical height of 2 feet what is the length of the ramp rounded to the nearest tenth
Order these numbers from least to greatest.
7.208, 7.3, 7.2852, 7.28
What is the slope of the line that passes through the points (1,3) and (-2,3) ?
Answer:
the slope is 0/-3 or just 0
Step-by-step explanation:
Simplify:
√-27
A. 7-271
B. 311-3
C. Зіз
D.27i
Which expression is equivalent to 8f - 5+ f?
-5+9f
8f+f-5
We cannot add variables and constants, so we only add the f's:
-5+9f is the answer
Hope this helps
~Just a joyful teen
[tex]-GraceRosalia[/tex]
next term in each sequence 1,4,20,120,...
Answer:
840
Step-by-step explanation:
Given data
term- 1,4,20,120
to find out
next term =?
= pattern=1×4=4
=4×5=20
=20×6=120
= the next will be 120×7=840
Answer:
840 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
What is the distance between points N and M?
A. 4.2
B. 5.8
C. 11.9
D. 11.6
Answer:
Answer B is closest: 5.8 units
Step-by-step explanation:
Points M and N appear to lie in the same plane, so this problem is a 2-dimensional one. The distance along the x axis from N to the origin is 5 units and that along the y axis from the origin to M is 3 units. We apply the Pythagorean Theorem, as follows:
d = √(3² + 5²), or
d = √34, which is approximately 5.83 units. Answer B is closest: 5.8 units.