The given highest power of x in the given function, y = 4·x + 2, is 1,
therefore, the graph of the function is a straight line.
The statement that correctly compares the function shown on the graph
with the function; y = 4·x + 2 is; C. The function shown on the graph has a
smaller rate of change but a higher starting point.
Reasons:
The given function is; y = 4·x + 2
Comparing with the equation for a straight line; y = m·x + c, we have;
The rate of change or slope, m = 4
The y-intercept, starting point, c = 2
Two points on the function shown on the graph are; (0, 4), and (-2, -2)
The slope of the given graph is therefore;
[tex]m = \dfrac{4 - (-2)}{0 - (-2) } = \dfrac{6}{2} = 3[/tex]
The rate of change of the graph, m = 3
The equation of the graph is therefore;
y - 4 = 3·(x - 0)
Which gives;
y = 3·x + 4
The y-intercept, starting point of the graph, is therefore, c = 4
Which gives;
The function shown on the graph has a higher starting point but a smaller rate of change than the given function.
Learn more here:
https://brainly.com/question/18194679
Evaluate 7.6 x 103 +5.2 x 103 and write its solution in scientific notation.
I also need to put why
Answer:
i think it is 90
Step-by-step explanation:
Please help I will make you Brainliest (show working)
Answer:
id kkkkkkkkk
Step-by-step explanation:
Fill in the blanks in three different ways to create an
equation that has one solution, no solution, and infinitely many solutions.
7x + 3x + 10 = -2 (__x+__)
A line passes through the points (-6, -8) and (-3,-7).
What is the equation of the line in Slope-Intercept Form?
A)y=1/3x-6
B) y=3x-6
C)y=1/3x+6
D) y=3x+6
Step-by-step explanation:
For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:
The question gives us two points, (-6, -8) and (-3,-7), from which we can find the slope and later the equation of the line.
Finding the Slope
The slope of the line (m) = (-8 - (-7)) ÷ (-6 - (-3))
= -1 ÷ (-3)
= ¹/₃
Finding the Equation
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - (-7) = ¹/₃ (x - (-3))
we could also transform this into the slope-intercept form ( y = mx + c)
since y + 7 = ¹/₃ (x + 3)
⇒ y + 7 = ¹/₃ x + 1
∴ y = ¹/₃ x - 6
To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.
Cuales son los lados correspondientes de un ángulo
Answer:
Los lados correspondientes de un polígono son los lados que están en la misma posición en polígonos similares. En geometría, encontrar la congruencia y la similitud implica comparar los lados correspondientes y los ángulos correspondientes de los polígonos. En este artículo, aprendamos más sobre triángulos rectángulos similares, lados correspondientes, su definición, cómo son proporcionales
Step-by-step explanation:
simply the following expression
Answer:
[tex] \dfrac{4r^6}{st^8} [/tex]
Step-by-step explanation:
[tex] (4r^{-2}st^4)(r^{-4}st^6)^{-2} = [/tex]
Use laws of exponents to simplify the right set of parentheses.
[tex]= (4r^{-2}st^4)(r^{8}s^{-2}t^{-12})[/tex]
Now use the law of exponents for a product of powers with the same base.
[tex] = 4r^6s^{-1}t^{-8} [/tex]
Finally, use the definition of a negative exponent.
[tex] = \dfrac{4r^6}{st^8} [/tex]
What is 5,000 + 5,000?
Answer:
5,000+5,000= 10000
Step-by-step explanation:
solve the system using the elimination method.
3x - 7y = -18
4x - 2y = -24
Find -3A+6B ...........
Please help !!! Will mark as brainliest !!!
Answer:
So the answer would be (A.
Step-by-step explanation:
All of the cheese slices at Chester's Cheesy Cafe have the same mass.
Chester finds that the total mass of 3 cheese slices is 27 grams.
What is the mass of one of the cheese slices?
grams
Bruce retiled his kitchen. Originally, he bought three boxes of tile with the same number of tiles in each. He ran out of tile and had to go back to get three extra boxes of tile. However, he only used two tiles from the last box to finish the job. Felicia also retiled her kitchen. She bought five boxes of tile, and each box contained the same number of tiles as each of Bruce’s boxes. She also ran out of tile. She had to go back to the store and get five more tiles to finish the job.Is it possible for Bruce and Felicia to have used the same number of tiles? Use complete sentences to explain your reasoning.
Answer:
Expression for the number of tiles Bruce used: 5x+2
Expression for the number of tiles Felicia used: 5x+5
Step-by-step explanation:
First want you'll want to do is translate the question into something easily understood. So for Bruce, we know that he bought three boxes with the same number of tiles in each, so 3, then he had to buy three more, another 3, but didn't finish the last box only using two, 2. So, we know he completely used the first 3 he bought then 2 of the 3 more boxes he bought.
For boxes completely used we can show it like this: 3+2=5 or 5x to represent the not known number of tiles in each box. Now we have to include the last box he bought, but he only used two tiles out of the whole box so it wouldn't be added to the same number as the other five (so not 6x).
To represent those last two tiles we can simply add +2.
Now putting it all together we get 5x+2
5x is the number of boxes multiplied by unknown number of tiles. so 5x=tiles in 5 boxes. and the 2 is those two tiles that were taken out of the last box.
For Felicia we go through the same process. We know she bought five boxes with the same number of tiles that Bruce had, 5, then bought five more individual tiles (not in a box), 5.
Not too much to do, so we know she got 5 boxes, so now we add our variable to represent the tiles in the boxes. so that 5 becomes 5x. Now with like we did with the two tiles Bruce only used, we do not add the 5 additional tiles into that number (so not 10x).
Because those were individual tiles they are simply 5.
Putting the whole thing together we get 5x+5
Choose the correct item from each drop-down menu to factor the trinomial 3x2 + 13x – 10 by grouping.
The factors of the given trinomial are (3x-2)(x+5).
What is trinomial?Trinomial is a polynomial having 3 terms. At least one variable and one operation (addition, subtraction, multiplication, division) must be present in an algebraic expression.
Given is a trinomial 3x²+13x-10, we need to factorize it,
So,
= 3x²+13x-10
To factorize a trinomial, we do find the product of the product of a and c (ax²+bx-c) and find its two factors so that we can add or subtract so that we can find the middle term (b) of the trinomial,
Here,
a = 3, c = 10
a × c = 30
Now,
15 and 2 are the factors of the 30, also 15 - 12 = 13 which is the middle term of the trinomial,
Therefore,
3x²+13x-10 = 3x²+15x-2x-10
= 3x(x+5)-2(x+5)
= (3x-2)(x+5)
Hence, the factors of the given trinomial are (3x-2)(x+5).
Learn more about trinomial, click;
https://brainly.com/question/16347049
#SPJ2
Write 6^7 + 6^5 + 11 in base six. Use the digits 0, 1, 2, 3, 4, 5
Answer:
Sorry I don't remember the answer
What is the value of this
Answer: -16 Happy to Help :) Brainliest Please
Step-by-step explanation:
Answer:
-16
Step-by-step explanation:
which the following is a solution to the inequality below
5> x
Answer:
x < 5
Step-by-step explanation:
1) Swap sides
5 > x
Swamp sides:
x < 5
2) Solution on coordinate plane
Solution: x < 5
Interval Notation: (-∞,5)
pythagorean theorem help meeeeee!!
Answer:
25
Step-by-step explanation:
remember that the pythagorean theorem is a²+b²=c²
so this equation would be:
7²+24²=c²
solve the exponents
49 + 576 = c²
combine like terms
625 = c²
take the radical of each number
√625 = √c²
25 = c
have a lovely day <3
A pack of $2.99 crayons is on sale 50% off what is the discount?
Answer:
$1.49
Step-by-step explanation:
Take your value: $.99 and since it is 50% off, divide it by 2.
You get $1.49.
Somebody please help me !!
1. (-1, 1
2. (-2,-2)
3. (-3, 1)
hope this helps!!
please help me
An Uber driver charges $5.00 per mile driver, and $3.50 to pick up a rider.
Part A: Write a function rule for the total cost for n cost to take an Uber.
Part B: How much does a 20 mile trip cost?
Part C: Does a 10 mile trip cost half as much as a 20 mile trip cost? Explain.
Answer:
1) y=3.5+(5•x)
2) 103.5
3) No, because 5•20 is 100 and 5•10 is 50, BUT with both you still have to add 3.5 no matter what because of the $3.50 to pick up the rider
Answer:
im gonna go with c
Gabriella is building a garden that is 3.6 m long by 7.77 m wide. What is the area of her garden?
Could somebody solve this problem for me- step-by-step? I would appreciate it!
Answer:
The first step would be to add the problem.
The second step would be for us to answer it.
The third and final would be appreciation.
solve for X : 3x²=5x
⇒ 3x² - 5x = 0
⇒ (3x - 5) · x = 0
3x - 5 = 0
x = 0
x = 0, 5/3
see screenshot below/above
Answer:
x-int: (-2,0)
y-int: (0,1.333)
Step-by-step explanation:
10-24
Which graph represents the solution to this system of inequalities?
-
3х — 5у < 15
y> - x +1
Answer:
Like this...
Step-by-step explanation:
The best represented graph should look something like this :)
(program used is Desmos)
Determine the inverse of the function f (x) = 3(x − 4)^2 + 5.
Step-by-step explanation:
since g(f(x)) = x g (f (x) )= x, f - 1 (x) = 5x3 + 43 f - 1 (x) = 5 x 3 + 4 3
The inverse of the given function [tex]f(x) = 3(x-4)^{2} +5[/tex] is [tex]f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4[/tex].
What is the inverse of a function?An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by [tex]f^{-1}[/tex] or [tex]F^{-1}[/tex].
According to the given equation.
We have a function.
[tex]f(x) = 3(x-4)^{2} +5[/tex]
The above function can be written as
[tex]y = 3(x-4)^{2} +5[/tex]
Write the above function for x.
[tex]\implies y -5 = 3(x-4)^{2}[/tex]
[tex]\implies \frac{y-5}{3} = (x-4)^{2}[/tex]
[tex]\implies \sqrt{\frac{y-5}{3} } =x-4[/tex]
[tex]\implies \sqrt{\frac{y-5}{3} } +4=x[/tex]
[tex]0r\ x = \sqrt{\frac{y-5}{3}}+4[/tex]
Replace [tex]x[/tex] by [tex]f^{-1}(x)[/tex] and [tex]y[/tex] by [tex]x[/tex].
We get
[tex]f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4[/tex]
Hence, the inverse of the given function [tex]f(x) = 3(x-4)^{2} +5[/tex] is [tex]f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4[/tex].
Find out more information about the inverse of the function here:
https://brainly.com/question/2541698
#SPJ2
a researcher studied 30 people ages twenty to forty, 30 people ages forty-one to sixty, and 30 people ages sixty-one to eighty. the researcher set up two rooms—one with a faint rose smell, and one with a faint lemon smell. each participant was asked to enter each room and identify the smell in the room. what research method did the researcher use, and what outcome would be found?
If the researcher set up two rooms—one with a faint rose smell, and one with a faint lemon smell. each participant was asked to enter each room and identify the smell in the room. The research method that the researcher use , and what outcome would be found is: Cross-sectional. The outcome is: As people grow older their sense of smell decrease.
A cross-sectional is a research that is carried out by collecting data from different group of population or by drawing a random sample from a group of population in which the researcher will then study or observe the data collected at a particular period of time.
Based on the given information the researcher is making use of Cross-sectional research method as the researcher what to know how people perceive smell based on their age or how age determine people sense of smell.
The outcome that could be found based on the research is that as people age or grow older their sense of smell decrease or begins to decrease, which simply means that younger people have strongest sense of smell than older people.
Inconclusion If the researcher set up two rooms—one with a faint rose smell, and one with a faint lemon smell. each participant was asked to enter each room and identify the smell in the room. The research method that the researcher use , and what outcome would be found is: Cross-sectional. The outcome is: As people grow older their sense of smell decrease.
Learn more about Cross-sectional here:
https://brainly.com/question/1900606
PLS HELP IVE BEEN STRUGGLING WITH THIS TOPIC TYSM ILL MARK BRAINLIEST
Answer:
The answer would be 32
Step-by-step explanation:
equation would be: 6+2(12+1)
which then turns into 6+24+2
which equals 32
Answer:
32
Step-by-step explanation:
Since a = 3, b = 4, and c = -1
The Equation is:
= 2 × (3) + 2 × [(3) × (4) - (-1)]
= 6 + 2 × [12 - (-1)]
= 6 + 2 × (12 + 1)
= 6 + 2 × 13
= 6 + 26
= 32
Herman buys a pair of pants for 39.95 and a few shirts for 19.95 each. Write an equation to represent the total cost of the purchase
Answer:
39.95+(how many shirts times 19.95)
Step-by-step explanation: