Answer:
A linear function is written in slope-intercept form as:
y = a*x + b
Where a is the slope and b is the y-intercept.
So any function of this shape, is a linear function, such that when graphed it is a straight line.
In this case, the function you wrote is:
Q: y = 1/3x + 2
Now, if the function is exactly what you wrote, then x is in the denominator:
y = 1/(3*x) + 2
Clearly, this is different than the general linear equation you can see above (here the variable is in the denominator) then in this case Q is non-linear.
If instead, the actual function Q is:
Q: y = (1/3)*x + 2
Then this is a linear equation, where the slope is 1/3 and the y-intercept is 2.
I NEED HELP PLEASE !!
Answer:14=x
Step-by-step explanation:
What is the perimeter of triangle XYZ?
Answer:
126
Step-by-step explanation:
Factor x2 – 19x – 20 completely.
Answer:
Step-by-step explanation:
x^2-19x-20
=x^2-(20-1)x-20
=x^2-20x+x-20
=x(x-20)+1(x-20)
=(x-20)(x+1)
Please Help me need help
Answer:
-1 * (x/y)
Step-by-step explanation:
-x/y = x /-y
Factor out the negative
-(x/y) = -(x/y)
This is equal to -1 * (x/y)
I need help with this problem. please help.
Answer:
B
Step-by-step explanation:
What is the equation of the line that has a slope of -2 and passes through the point (-1, 2)?
Answer:
[tex]{ \bf{y = mx + c}} \\ 2 = ( - 2 \times - 1) + c \\ c = 0 \\ \\ { \boxed{ \bf{y = - 2x}}}[/tex]
Answer:
y = -2x
Step-by-step explanation:
The equation of a line in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -2x +b
Using the point
2 = -2(-1)+b
2 = 2+b
Add -2 to each side
2-2 =b
0=b
y = -2x+0
y = -2x
-2(5x+8)=14+6x step by step
Answer:
x=-15/8
Step-by-step explanation:
Hi there!
We're given the equation -2(5x+8)=14+6x and we need to find the value of x
we do this by isolating the variable so that x is on one side, and everything else is on the other
First, we need to do the distributive property on the left, as the -2 is factored out of 5x+8 and it makes solving for x harder
-2(5x+8)=14+6x
multiply both 5x and 8 by -2
-10x-16=14+6x
add 16 to both sides to clear it from the left side (-16+16=0)
-10x-16=14+6x
+16 +16
_____________
-10x=30+6x
subtract 6x from both sides (6x-6x=0)
-10x=30+6x
-6x -6x
_____________
-16x=30
now, we do have x by itself, but we have -16 attached to it; we need the value of 1x, or x without any coefficient in the front of it
divide both sides by -16
x=30/-16
simplify (divide both sides by -2)
x=-15/8
we can leave it as an improper fraction
Hope this helps! :)
Answer:
x = 15 / 8
Step-by-step explanation:
−2(5x+8) = 14 + 6x
Simplify both sides of the equation.
−2(5x+8) = 14 +6x
(−2)(5x) + (−2)(8) = 14 +6x (Distribute)
−10x +−16 = 14 +6x
−10x −16 = 6x +14
Subtract 6x from both sides.
−10x −16 −6x = 6x + 14 −6x
−16x −16 = 14
Add 16 to both sides.
−16x −16 +16 = 14 + 16
−16x=30
Divide both sides by -16.
-16 x / - 16 = 30/-16
Simplify ( divide RHS side by - 2 )
x = 15 / 8
can someone help me pls
answer chocices
a.80
b.180
c.100
d.90
Answer:
<1= 100°
Step-by-step explanation:
<1=<5 Corresponding angles are equal
To find <5
180-80=100
Therefore <1=100
Can anyone help with Qs 22-25 pls !!
Or the ones you can do
Answer:
24 is C and 25 is B , ill try and do the other questions if u need me to explain 24 and 25 lmk!
Suppose a normal distribution has a mean of 48 abd a standard deviation of 5. What is the probability that a data value is between 48 and 52?
Answer:
P(48<x<52) = 0.2881
Step-by-step explanation:
P(48<x<52) = normalcdf(lower,upper,µ,σ) = normalcdf(48,52,48,5) ≈ 0.2881
Therefore, the probability that a data value is between 48 and 52 is 0.2881, or about a 28.81% chance of occurrence.
A newspaper conducted a survey to find out how many high school students play video games. The two-way table below displays the data from the survey. Based on these data in the table, which statement is true? A. There were 2,451 boys surveyed and about 29% of them play video games. B. There were 2,996 girls surveyed, and about 45% of them play video games. C. There were 5,447 students surveyed, and about 54% of them do not play video games. D. There were 2,493 students surveyed, and about 34% of them are girl who do not play video games.
Answer:
c
Step-by-step explanation:
Match the corresponding sides.
Solve the problem.
A teacher is going to assign each student a 3-digit code using the digits 0 through 4. How many codes are possible if no repetitions are allowed?
A.) 60
B.) 125
C.) 24
D.) 64
Answer:
24 codes are possible
Step-by-step explanation:
0 through 4 means we are to select from 0,1, 2 , and 4
That’s a total of 4
The first number has 4 choices, the second 3, the 3rd two and the last 1
The product of the choices are;
4 * 3 * 2 * 1 = 24 codes
What is the gradient of the blue line?
The slope or gradient of the blue line from the given graph is -3.3.
The equation of line is shown in the graph.
What is slope or gradient of a line?The slope or gradient of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope or gradient = Rise/Run
From the given graph, the gradient of a line is
Slope = rise/run
= -4/1.2
= -3.3
Hence, the slope or gradient of the blue line from the given graph is -3.3.
To learn more about the slope of a line visit:
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Evaluate the value of x to 1 d.p
Thank you
Answer:
value of x = 2.8
Step-by-step explanation:
By law of cosines,
[tex] {a}^{2} = {b}^{2} + {c}^{2} - 2 \times b \times c \times cos(100) \\ {x}^{2} = {13}^{2} + {10}^{2} - (2 \times 13 \times 10 \times cos100) \\ = 169 + 100 - 260 \times 0.862 \\ = 269 - 260 \times 0.862 \\ = 7.758 \\x = \sqrt{7.758 } \\ = 2.785 \\ = approx \: 2.8[/tex]
need help on this please giving brainlest! :)
4n + 2 = 6 (1/3n-2/3)
N=???
l give brainiest
Answer:
N= -3
Step-by-step explanation:
4n+2 = 6(1/3n - 2/3)
4n+2 = 2n - 4
2n +2 = -4
2n = -6
n = -3
Answer:
- 3
Step-by-step explanation:
4n + 2 = 6 ( 1 / 3 n - 2 / 3 )
Divide 2 on both sides,
2n + 1 = 3 ( 1 / 3 n - 2 / 3 )
2n + 1 = 3n / 3 - 6 /3
2n + 1 = n - 2
2n - n = - 2 - 1
n = - 3
the interest for 3 years on Rs2400is Rs576 find the interest on Rs 4200 for 2 yrs at the same rate of interest
Answer:
Solution given:
time [t]=3years
principal [p]=Rs2400
rate[r]=?
simple interest [S.I]=Rs 576
we have
S.I=ptr/100
576=2400*3*r/100
576=72r
r=576/72
r=8%
now
principal [p]=Rs 4200
time[t]=2years
rate[r]=8%
simple interest [S.I]=?
we have
S.I= ptr/100=4200*2*8/100=Rs 672
The required interest is Rs 672.
please help!! i have no clue what to do and this packet is due tonight.
Answer:
[D] ∞
General Formulas and Concepts:
Calculus
Limits
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \lim_{n \to \infty} s(n)[/tex]
[tex]\displaystyle s(n) = (\frac{5}{4n^4})(3n^5 + 3n^4 + 2n^3 + n^2)[/tex]
Step 2: Evaluate
Substitute in function [Limit]: [tex]\displaystyle \lim_{n \to \infty} (\frac{5}{4n^4})(3n^5 + 3n^4 + 2n^3 + n^2)[/tex]Multiply: [tex]\displaystyle \lim_{n \to \infty} \frac{5(3n^5 + 3n^4 + 2n^3 + n^2)}{4n^4}[/tex]Power Method: [tex]\displaystyle \lim_{n \to \infty} \frac{5(3n^5 + 3n^4 + 2n^3 + n^2)}{4n^4} = \infty[/tex]Since the degree of the polynomial is greater in the numerator than in the denominator, the top will always increase faster than the bottom, thus getting infinitely larger.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Book: College Calculus 10e
With a 20% discount, Ella was able to save $40 on a dress. What was the original price of the dress?
8. Which of the following is not a true statement?
A) 33.326 > 33.316
B) 24.10009 < 24.11
C) 34.32 = 34.3200000
D) 27.4200 > 27.42
Answer:
Answe is D
Step-by-step explanation:
The zero doesn't mean any sense when it comes to decimal..
Answer:
i think its D
Step-by-step explanation:
27.42000 > 27.42000 is wrong because they're equal.
correct answer:
27.42000 = 27.42000
hope this helps!
find the ratio of the perimeter of two similar trapezoids with area 49cm^2 and 9cm^2
Answer:
3260 is the ratio of two similar trapizoids
Answer:
7:3
Step-by-step explanation:
(Ratio of perimeter)^2 = ratio of area.
Therefore
ratio of perimeter = sqrt(ratio of area) = sqrt(49/9) = 7/3
Estimate 16.26+4.169 by first rounding each number to the nearest tenth.
Answer:
16.3 + 4.2 = 20.5 (20.5 has not been rounded)
Step-by-step explanation:
I just rounded both numbers to the nearest tenth, it should be accurate. I hope I helped :)
What is the sum of the pink and green area?
Answer:
I think the answer is 11x
Answer:
11x
Step-by-step explanation:
Pink area = 6x
Green area = 5x
Total (sum) = 6x+5x =11x
2 birds are building a nest. Bird A is flying toward the nest at the same time bird B is flying away from it
Answer:
Step-by-step explanation:
is it that 1 bird is at the nest and the other is flying away ?
Heres another simple question!
The ordered pairs (t,36),(5,45) represent a proportional relationship. Find the value of t.
possibilities : 4,5,9,40
Answer:
4? ..... t = 4
5 × 9 = 45
4 × 9 = 36
Identify the range of the function shown in the graph.
A.y>=0
B.y<0
C.Y is all numbers
D.0
Which one is it?
Answer:
B
Step-by-step explanation:
The profit from a business is described by the function P(x) = -x^2 + 10x - 4, where x is the number of items made, in thousands, and P(x) is the
profit in dollars. How many items will maximize the profit?
A 5,000
B. 10,000
C. 20,000
D. 50,000
Therefore, 5000 items can maximize the profit
The correct answer is an option (a)
What is Profit ?The money that you make when you sell something for more than it cost you.
For given example,
profit is described by the equation :
[tex]P (x) = -x^2 + 10x -4[/tex]
We need to maximize the profit P(x)
[tex]\Rightarrow \frac{d}{dx}P(x)=0\\\\\Rightarrow \frac{d}{dx}( -x^2 + 10x -4 ) =0\\\\\Rightarrow -2x+10=0\\\\\Rightarrow -2x=-10\\\\\Rightarrow x=5[/tex]
since , x is the number of items made in thousand
Therefore, 5000 items can maximize the profit
The correct answer is an option (a)
Learn more about profit :
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Solve the trigonometric equation for all values 0 ≤ x < 2π.
2sin^2 x-1 = 0
what is the binary 101*11
Answer:
Answer Of this question is 1000