Slope intercept form of a line is, y = mx + c where m is the slope and c is constant.
Judging the given equation y = 2x + 5
Slope (m) of the line is 2,
y-intercept of the line,
y = 2x + 5
y = 2×0 + 5
y = 5
Answered by GAUTHMATH
Answer:
m = 2
y intercept = 5
Step-by-step explanation:
The given equation of the line is ,
[tex]\implies y = 2x +5[/tex]
We know that the Standard equation of Slope Intercept Form of the line is,
[tex]\implies y = mx + c[/tex]
Where ,
m is slope c is y interceptOn comparing to the Standard form of the line we get ,
[tex]\implies Slope = 2 [/tex]
[tex]\implies y - intercept= 5[/tex]
Which graph is that of the inequality shown below?
Answer:
Graph C
Step-by-step explanation:
Each graph has the same slope and points, but only C works for this inequality- since you’re looking for less than or equal to, and only graphs b and c show less than, you know it’s one of those. From there you know it’s less than or equal to, so you want the full line, not dotted, since dotted represents that those values are excluded from the solution.
Consider the graph of f(x) = 5x + 1. Explain how to find the average rate of change between x = 0 and x = 4.
What is the average rate of change?
Given:
Consider the given function is:
[tex]f(x)=5^x+1[/tex]
To find:
The average rate of change between x = 0 and x = 4.
Solution:
The average rate of change of a function f(x) over the interval [a,b] is:
[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]
We have,
[tex]f(x)=5^x+1[/tex]
At [tex]x=0[/tex],
[tex]f(0)=5^0+1[/tex]
[tex]f(0)=1+1[/tex]
[tex]f(0)=2[/tex]
At [tex]x=0[/tex],
[tex]f(4)=5^4+1[/tex]
[tex]f(4)=625+1[/tex]
[tex]f(4)=626[/tex]
Now, the average rate of change between x = 0 and x = 4 is:
[tex]m=\dfrac{f(4)-f(0)}{4-0}[/tex]
[tex]m=\dfrac{626-2}{4}[/tex]
[tex]m=\dfrac{624}{4}[/tex]
[tex]m=156[/tex]
Hence, the average rate of change between x = 0 and x = 4 is 156.
The role of the Federal Open Market Committee is to:
A. appoint the Federal Reserve Board of Governors.
B. enforce Federal Reserve rules on banks.
C. set monetary policy for the United States.
D. establish new Federal Reserve districts
Mr Bauer has 10 ducks. 5 of these ducks lay an egg everyday. The other 5 lay an egg every second day. How many egg will the 10 ducks have laid after 10 days?
(A) 75
(B) 60
(C) 50
(D) 25
(E) 10
Answer:
The answer is (A) 75
Step-by-step explanation:
Answer:
A 75
Step-by-step explanation:
10*5(number of ducks that lay an egg everyday)
5*5(number of ducks that lay an egg every second day)
10*5 + 5*5
In a deck of 52 playing cards, what is the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9?
Answer:
4.8%
if we assume that the first card is REPLACED (otherwise the formula gets complex)
[tex](\frac{4}{52} )(\frac{32}{52} ) = \frac{8}{169} = .048[/tex]
Step-by-step explanation:
13/52 is the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given,
In a deck of 52 playing cards
We need to find the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9
n(S) =52
And the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9 is,
n(E) =13 a set of a diamond suit, because a diamond suit has {A, K ,Q ,J ,2,..,9}
Thus, the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9 is 13/52 or 1/4 .
Hence, 13/52 is the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9
To learn more on probability click:
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In ΔKLM, the measure of ∠M=90°, LK = 5, KM = 3, and ML = 4. What ratio represents the cosine of ∠K?
Select the correct answer. Which image shows the correct position of M(-4, 3)? A. graph A B. graph B C. graph C D. graph D
Answer:
a
Step-by-step explanation:
think about it, its' obvious
Find the constant of proportionality if y is
proportional to x.
A. 25
B. 21
C. 26
D. 28
HELPPP!!!!!!
please tel me answer of under root 3+4i
without calculatot with steps
Hello,
[tex]Let's\ say \\\\z=\sqrt{3+4*i} =a+b*i\\\\z^2=3+4*i=(a+b*i)^2=a^2-b^2+2i*a*b\\\\\\if \ a\neq 0\\\left\{\begin{array}{ccc}a^2+b^2&=&3\\2ab=4\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}b=\dfrac{2}{a}\\a^2-(\dfrac{2}{a})^2=2\\\end{array}\right.\\\\\\a^4-4=3*a^2\\a^4-3a^2-4=0\\\\\Delta=(-3)^2-4*1*(-4)=25=5^2\\\\a^2=4\ or \ a^2=-1 (impossible)\\\\So:\\(a=2\ and\ b=1)\ or\ (a=-2\ and\ b=-1)\\[/tex]
Roots are thus 2+i and -2-i
There is an other using a geometrical formula (formule de Moivre)
How many orders of magnitude bigger is 23,000 than 56?
Orders of Magnitude are in terms of scientific notation.
23,000 written in scientific notation is 2.3 x 10^4, it's magnitude is 4 ( the number 10 is raised to)
56 in scientific notation would be 5.6 x 10^1, its magnitude is 1.
4 - 1 = 3
2300 is 3 order of magnitudes larger.
The answer is 3.
could use some help on this please
Answer:
x = 15, y = 4
Step-by-step explanation:
To solve this, we have to define the triangles first. Since the triangles are congruent by HL, it means that the hypotenuse and the leg of the triangle are defined to be equal. By flipping one of the triangles upsidedown, we can visualize the hypotenuse of the triangles and the leg of the triangles (which are equal).
The two equations are the following:
[tex]x + 1 = 4y[/tex]
[tex]x = y + 11[/tex]
If I add 1 to both sides of the second equation, I get the following equation:
[tex]x + 1 = y + 11 + 1 = y + 12[/tex]
By comparing this new equation with the first one, we will get:
[tex]x + 1 = 4y = y + 12[/tex]
We can ignore x+1 for now since y can not be solved.
[tex]4y = y + 12[/tex]
By subtracting both sides of this equation by y, we will get.
[tex]3y = 12[/tex]
This solves for y, where
[tex]y = 4[/tex]
Now, we can re-use one of the equations, which is
[tex]x = y + 11[/tex]
Now that we know y is 4, we can plug it into this equation.
[tex]x = 4 + 11 = 15[/tex]
Ten years from now, Abdul will be twice as old as his son pavel ten years ago, Abdul was seven times as old as pavel how old are Abdul and pavel now?
Answer:
Age of Pavel = y - 10
→ x - 7y = -60. Now, Calculating X. Hence, Present age of Abdul = 38.
Step-by-step explanation:
hope this is helpful.
Solve the inequality:
[tex]4x+3\ \textgreater \ 19[/tex]
Answer:
x > 4
Step-by-step explanation:
4x + 3 > 19
4x + 3 - 3 > 19 - 3
4x > 16
4x/4 > 16/4
x > 4
Hope this helps.
[tex]4x + 3 > 19 \\ = > 4x > 19 - 3 \\ = > 4x > 16 \\ = > x > \frac{16}{4} \\ = > x > 4[/tex]
Answer:
x > 4
Hope you could understand.
If you have any query, feel free to ask.
10 points!!!!!:)
Describe the graph of the function.
[tex]y = \sqrt{x + 3} [/tex]
a). the graph is a radical function y=sqrt(x) shifted 3 units right.
b). the graph is a radical function y=sqrt(x) 3 units left.
c). the graph is of exponential growth.
d). the graph is an absolute value function with vertex (-3,0).
pls help me:).
Answer:
b) y=sqrt(x) shifted 3 units left
Step-by-step explanation:
3rd line in the attached table:
f(x+3) = sqrt(x+3) horizontal translation left 3 units
Someone help me please !!
Answer:You can also use tables to represent functions. Instead of using two ovals with circles, a table organizes the input and output values with columns. ... Remember, a function can only assign an input value to one output value. If you see the same x-value with more than one y-value, the table does not represent a function.
Step-by-step explanation:
Describe fully the single transformation that maps a onto shape b
Answer:
Reflected over y-axis
100 points and brainliest please:)
what is the square root of 256?
a 16
b 14
c 12
d 4
The square root of 256 = X^2
X ^2 = X x X
A) 16 x 16 = 256
The answer is a) 16
Answer:
A. ) 16
Step-by-step explanation:
[tex] \small \sf \: \sqrt{256} [/tex]
Write 256 in the exponential form with the base of 16
[tex] \small \sf \: \sqrt{16 {}^{2} } [/tex]
Reduce the index of the radical and exponent with 2
16
help me brainliest and i willllll
Answer:
1/9
Step-by-step explanation:
You would multiply 1/3 by 1/3 since both of the spins are out of three for the probability of rolling on the same color two times.
What 23.5 x 10 to the power of two in scientific notation explain please
Answer:
2.35 x 10^3
Step by Step:
Rewrite the number in scientific notation.2.35 x 10^3
What is the next term in the sequence below?
24, 12, 6, 3, . . .
A. 0.5
B. 1.5
C. 1.75
D. 2.5
Answer:
1.5(B)
Step-by-step explanation:
This is a geometric sequence where each number is 1/2 times the last. So 3/2 is 1.5.
can someone answer plssss gives 100 pints i think bc I picked 100
[tex]1. \frac{20}{100} [/tex]
[tex]2. \frac{1}{5} [/tex]
Explanation:
There are a few ways to do this. One way is to notice that the jump from 5 to 100 is "times 20" (go from right to left across the bottom denominators).
So we must do the same "times 20" type of jump when going across the numerators. If x is the numerator for the right hand side, then we go from x to 20. That must mean x = 1
Put another way, we could have these steps
20/100 = x/5
20*5 = 100*x ... cross multiplication
100 = 100x
100x = 100
x = 100/100 .... dividing both sides by 100
x = 1
We see that the fraction 20/100 reduces fully to 1/5
To go from 1/5 to 20/100, we multiply both parts by 20 (divide both parts by 20 to go in reverse).
What is 4 and 2/3 written as a radical?
Answer:
14/3
Step-by-step explanation:
4 and 2/3 = 4 2/3 = 4 + 2/3 = 4/1 + 2/3 = 12/3 + 2/3 = 14/3
Hello, Brainly community!
This question is for all of those Calculus people out there.
The volume of a swimming pool is changing with respect to time, such that the volume is given by W(t), where W(t) is measured in cubic centimeters and t is measured in seconds. A tangent line is shown for W(t) at t = 3 seconds. Determine the best estimate for the value of the instantaneous rate of change of W(t) when t = 3.
(I've narrowed down the answer choices to 2, and just really need to find the right way of thinking to find the answer)
(A) W(lim t) as t goes to 3.
(B) [W(3.1) - W(2.9)] / 0.2.
Thank you in advance!
Answer:
(B) [tex]\displaystyle \frac{W(3.1) - W(2.9)}{0.2}[/tex]
General Formulas and Concepts:
Calculus
Limits
Derivatives
The definition of a derivative is the slope of the tangent line.Derivative Notation
Instantaneous Rates
Tangent Line: [tex]\displaystyle f'(x) = \frac{f(b) - f(a)}{b - a}[/tex]Step-by-step explanation:
Since we are trying to find a rate at which W(t) changes, we must find the derivative at t = 3.
We are given 2 close answer choices that would have the same numerical answer but different meanings:
(A) [tex]\displaystyle \lim_{t \to 3} W(t)[/tex](B) [tex]\displaystyle \frac{W(3.1) - W(2.9)}{0.2}[/tex]If we look at answer choice (A), we see that our units would simply just be volume. It would not have the units of a rate of change. Yes, it may be the closest numerically correct answer, but it does not tell us the rate at which the volume would be changing and it is not a derivative.
If we look at answer choice (B), we see that our units would be cm³/s, and that is most certainly a rate of change. Answer choice (B) is also a derivative at t = 3, and a derivative tells us what rate something is changing.
∴ Answer choice (B) will give us the best estimate for the value of the instantaneous rate of change of W(t) when t = 3.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Book: College Calculus 10e
The following table shows a direct variation.
3 y
15 5
18 6
27 9
Answer:
Yes, it shows direct variation
Step-by-step explanation:
Given
The above table
Required
Is it a direct variation?
The constant of variation (k) is:
[tex]k = y/x[/tex]
For each pair x and y, we have:
[tex]k = 5/15 = 1/3[/tex]
[tex]k = 6/18 = 1/3[/tex]
[tex]k =9/27 = 1/3[/tex]
Since the calculate constant have the same value for all pair or x and y, then the table shows direct variation
Answer:1
Step-by-step explanation:3/3=1
The triangles are similar.
What is the value of x?
Enter your answer in the box.
if two angles are supplementary, then what is the measurement of the missing angle, if one angle is 120?
Answer: 60°
Step-by-step explanation:
If two angles are supplementary, that means they add up to 180°.
Therefore, if one angle is 120°, the other missing angle can be calculated by:
180° - 120° = 60°
I need help on my math!!!!!!!
Answer:
67
Step-by-step explanation:
GOOD LUCK!!
I'm confused, can someone please help?!
Answer:
B
Step-by-step explanation:
Pls brain list if right :>
Answer:
If ABCD is congruent to RSTU
AB≅RS
BC≅ST
CD≅TU
AD≅RU
and ∠A≅CR
∠B≅∠S
∠C≅T
∠D≅CU
ANSWER: ∠A≅∠U
------------------------------
hope it helps...
have a great day!!
Find the values of x and y. Round your answers to the nearest tenth if necessary,
Answer:
[tex]x=12,\\y=12\sqrt{3}[/tex]
Step-by-step explanation:
In any 30-60-90 triangle, the side lengths are in the ratio [tex]x:x\sqrt{3}:2x[/tex], where [tex]2x[/tex] is the hypotenuse, or longest side, of the triangle and [tex]x[/tex] is the side opposite to the 30 degree angle.
In the given 30-60-90 triangle, the longest side (hypotenuse) is marked as 24. Since [tex]x[/tex] is opposite to the 30 degree angle,
Therefore, we have:
[tex]x=\frac{24}{2},\\x=\boxed{12}[/tex]
Based on our side length ratio [tex]x:x\sqrt{3}:2x[/tex], [tex]y[/tex] is then:
[tex]y=x\sqrt{3}\text{ for}\implies x=12,\\y=\boxed{12\sqrt{3}}[/tex]
Answer:
[tex]\huge\boxed{x=12;\ y=12\sqrt3\approx20.8}[/tex]
Step-by-step explanation:
Look at the picture.
We have:
[tex]2a=24\\a=x\\a\sqrt3=y[/tex]
Therefore:
[tex]x=24:2=12\\\\y=12\sqrt3\approx12\cdot1.73=20.76\approx20.8[/tex]
Find the quotient of 10/0
Answer:
The quotient is the answer to a division.
One of the properties of 0, is that 0 divided by any number is 0.
The exception is
0/0
which is undefined.
(the fact that 0 is being divided by a negative number makes no difference. There is no just thing as +0 or -0.)
Step-by-step explanation:
