Which statement correctly compares the function shown on this graph with
the function y = 4x + 2?
The statement that correctly compares the function shown on the graph with the function y=4x + 2 is 'The function shown on the graph has a smaller rate of change, but a higher starting point.'
What is rate of change of a function?The rate at which one quantity is changing with respect to another quantity.
For given question;
It is given a function y = 4x + 2
This function represents a line.
We have slope of the line = 4 and y - intercept = 2
We already know that the rate of change of line is given by its slope.
So, the rate of change of given function ;
y = 4x + 2 is 4.
The starting point of function f(x) is 2.
The graph of the line passing through points (-1, 1) and (0, 4)
So using slope formula,
m = (4-1)/ 0-(-1)
m = 3
So, the rate of change of function is 3.
The rate of change of function shown on the graph is smaller than the rate of change of function y = 4x + 2
Thus, the statement that correctly compares the function shown on the graph with the function y=4x + 2 is 'The function shown on the graph has a smaller rate of change, but a higher starting point.'
Hence, The correct answer is option (A)
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Match the proper noun to the common noun.
1. Uncle Peter
automobile
2. January
president
3. Jesse Owens
relative
4. William Shakespeare
author
5. Sunday
athlete
6. Abraham Lincoln
month
7. Chrysler
day
X
Simplify and solve step by step 4x -2x -20x + x
Answer:
-17x
Step-by-step explanation:
okay yes okay yes yes okay
Hey there! Let's combine like terms! ;)
4x-2x-20x+x
First, let's do 4x-2x:
4x-2x=2x
2x-20x+x`
2x-19x
-17x
Hope it helps!
.Mother bought 4 1/3 kilograms of bananas and 4 4/5 kilograms of oranges for her children. How many kilograms of fruits did she buy in all?
Step-by-step explanation:
[tex] \bf \underline{Given-} \\ [/tex]
[tex] \sf{Mother \: bought \: 4 \frac{1}{3} \: kilograms \: of \: bananas \: and } \\ \sf{ 4 \frac{4}{5} \: kilograms \: of \: oranges \: for \: her \: children.} \\ [/tex]
[tex] \bf \underline{To \: find-} \\ [/tex]
[tex] \sf \: Total\:kilograms \: of \: fruits \: did \: she \: buy \: in \: all \: ? \\ [/tex]
[tex] \bf \underline{Solution-} \\ [/tex]
[tex] \sf{Total \: weight \: of \: fruits = \bigg(4 \frac{1}{3} + 4 \frac{4}{5} \bigg)Kg} \\ [/tex]
[tex] \sf{ = \bigg(\frac{13}{3} + \frac{80}{5} \bigg)Kg} \\ [/tex]
Take LCM of 3 & 5 is 15.
[tex] \sf{ = \bigg( \frac{65 + 240}{15} \bigg)Kg} \\ [/tex]
[tex] \sf{ = \frac{305}{15} \: Kg} \\ [/tex]
[tex] \sf{ =2 \frac{5}{15} \: Kg} \\ [/tex]
--
Find the are length of the partial circle.
either enter an exact answer in terms of ar or use 3.14 for a and enter your answer as a decimal
units
Answer:
where is the equation please put it
PLEASE HELP! Award brainliest and thanks ASAP
Answer:
y=-2/5x-1
Step-by-step explanation:
I started by looking for the y-intercept of the line, where the line intersects with the y-axis and saw it was -1.
Then I looked at the slope of the line and used the rise/run strategy. From the y-intercept to the point it was 2 units down and 5 units across (2/5) and since it is going down it's negative
Plugging it in: y=mx+b
m=slope
b=y-intercept
y=-2/5x-1
Hope this helps :)
if 40 workers can complete a piece of work in 15 days how many workers should be employed to complete the same work in 3 days
The perimeter of a rectangle is 84cm.
Its shortest side has a length of 3cm.
State the length of the longest side.
Answer:
39 cm
Step-by-step explanation:
The perimeter of a rectangle is given as 2 (w + l) or 2w + 2l, where w and l are the sides.
Let us use w as 3 cm.
The perimeter of the rectangle is 2(3) + 2l = 6 + 2l
6 + 2l = 84 cm
We move the 6 to the left hand side and it goes from positive to negative.
2l = 84 - 6cm
2l = 78 cm
Divide both sides by 2.
l = 39 cm
There you have the answer for side l.
Hope this helps.
¿Cuántas combinaciones se pueden
hacer con una letra del abecedario
(tiene 27 letras diferentes) y los números
8 y 14?
Queremos ver cuantas combinaciones diferentes se pueden hacer con una letra del abecedario y los números 8 y 14.
La respuesta es:
Hay 162 combinaciones diferentes.
Primero dejemos la letra fija, asumamos que queremos ver las combinaciones entre la letra A, el número 8, y el número 14.
Tenemos 3 elementos, entonces el número de combinaciones será solo 3 factorial, o:
combinaciones = 3! = 3*2*1 = 6
Hay 6 combinaciones diferentes de esos 3 elementos.
Ahora recordamos que ademas de A hay 26 opciones más, entonces la letra tiene un total de 27 permutaciones posibles. Es decir, el número total de combinaciones va a ser 27 veces lo que obtuvimos arriba:
Total de combinaciones = 6*27 = 162
Hay 162 combinaciones diferentes.
Sí quieres aprender más, puedes leer:
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C. Write an expression with exponents to represent the number of
great-grandchildren Mr. and Mrs. Fisk have.
Answer: Do you have a pic of the question if you do give and give brainliest for it alright
Step-by-step explanation:
The distance from Earth to the moon is about 4×10 5 kilometers. The distance from Earth to Mars is about 5×10 7 kilometers. Use this data to compare the distances and complete the sentence.
The distance from Earth to Mars is _______________
times greater than the distance from Earth to the moon.
The perimeter of the rectangle below is 64
Find the value of x
The table shows the prices for games in Bella's soccer league. Her parents and grandmother attended a soccer game. How much did they spend if they all went together in one car?
Factorise
8f^2 + 7f
plz help! answer will get brainliest!!!
Answer:
f(8f + 7)
Step-by-step explanation:
8f^2 + 7f
= f(8f + 7)
The factor of 8f² + 7f is f(8f + 7).
What is factorization?Factorization in mathematics is the process of dividing a large number into smaller ones that, when multiplied together, give you the original number. Factorization is the process of dividing a number into its components or divisors.
Given:
An expression,
8f² + 7f.
To find the factor:
8f² + 7f,
= f(8f + 7)
Therefore, f(8f + 7) is the factor.
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At the train station, the cost for parking is based on an hourly fee. Patrons that park for 2 hours or less are charged at the short term parking fee but patrons that park for more than 2 hours are charged at the long term parking fee. The parking cost can be modeled with the following piecewise equation, where x represents the number of hours . f(x)={9x, x≤212x, x>2 How much would it cost to park at the train station for 8 hours? Enter your answer in the box.
Answer:
96
Step-by-step explanation:
Product of 3 x 2/3 is 3 true or false
Answer:
falseeeee
Step-by-step explanation:
im smart lol ight so so
3/1 · 2/3
3 times 2=6
6/3=2 not 3 my dude
George bought 9 apples that cost 50 cents each. He paid with a five dollar bill. How much change did George receive?
Step-by-step explanation:
pls follow me this is my new.id
Answer:
He has 9 apples so we add .50 cents 9 times.
If we count this money-wise we would get 4.50, so if he paid with a $5 bill he would recieve 50 cents
Step-by-step explanation:
Overnight the temperature decreased by 17 1/2. If the temperature began at -3.6 what is the current temperature?
Answer:
The answer is -21.1 degrees
Step-by-step explanation:
You get this by simply subtracting 17.5 from a negative 3.6. This will look like -3.6-17.5= x. Doing that gets you a negative 21.1. I hope this helps!
Express 17/5 as a mixed number, what is the answer?
Answer:
Step-by-step explanation:
3 2/5
Answer:
3 2/5
Step-by-step explanation:
A store is having a sale to clear out the winter clothing items. Every Item in the store is advertised as 50% off the original price. If
an Item is marked with a sale price of $35, what was its original price?
Answer:
$70
Step-by-step explanation:
35+35=70
If 30% of x =60. then c=
Answer:
I think answer is c 1800.
Solve using elimination.
–8x + 6y = –4
2x + 2y = –20
x = -4 and y = -6
Step-by-step explanation:
Solve for x :–8x + 6y = –4
2x + 2y = –20 (times 3)
Elimination
–8x + 6y = –4
6x + 6y = –60
_____________ _
-14x = 56
x = -4
Solve for y :–8x + 6y = –4
2x + 2y = –20 (times 4)
Elimination
–8x + 6y = –4
8x + 8y = –80
_____________ +
14y = -84
y = -6
Evaluate the function for
f(x) = x + 3 and g(x) = x2 − 2.
(f − g)(8t)=
Answer:
f(0)=0
Step-by-step explanation:
GCF of 27 and 45 and how to solve with either Prime factorization or the step diagram or the tree method help now pls
Answer:
( 3 x 3 x 3 ) and ( 3 x 3 x 5 ) The GCF of 27 and 45 is 3 x 3 = 9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Prime factorization of 27 and 45 is (3 × 3 × 3) and (3 × 3 × 5) respectively. As visible, 27 and 45 have common prime factors. So, the GCF of 27 and 45 is 3 × 3 = 9.
What is the value of the expression g . (g + 1)^2 for g= 2 ?
Hello!
Answer:
g = 9
Step-by-step explanation:
(g+1)^2
Plug in 2 for g: (2+1)^2
Add 2 and 1: (3)^2
Simplify: (3 x 3)= 9
Hope this helps.
help-
i dont remember how to do this or what the answer would be
Answer:
I'm no 100% sure but,
A triangle is 360⁰
So 65 +47 =112
180-112=68
two opposite angles are always equall so
x=68⁰
Sorry if I'm wrong!
What is 12 14/15 ( an mixed number) as a decimal.
answer: 11.2
explanation:
One dozen eggs equals 12 eggs. How many dozens of eggs equals 1,896 eggs?
A.133 dozen eggs
B. 158 dozen eggs
C.158 dozen eggs
D. 696 dozen eggs
Answer: B: 158 dozen eggs
Step-by-step explanation:
If one dozen eggs is 12, and you need to know how many groups of 12 go into 1896, all you need to do is divide 1896 by 12 to get 158. I hope this helps!
Answer:
C
Step-by-step explanation:
Divide 1896 by 12 and you get 158
The area of a rectangle is 56 cm^2. The side is 7 and its length is 3t-4. Find t.
Step-by-step explanation:
Area of a rectangle= length × width/breadth
7 × 3t-4 = 56 cm^2
3t-4 = 56÷7
3t-4 = 8
3t = 8+4
3t= 12
t = 12/3
t = 4
hope this helps
A rectangle has an area of 112 square yards. Its width is nine yards less than the length. Write an equation that models this problem
Step-by-step explanation:
L = length
W = width
L = W + 9
A = 112 = LW = (W+9)W
So,
W2 + 9W = 112
W2 + 9W - 112 = 0
Factoring
(W-7)(W+16) = 0
W = 7, -16
We discard W = -16, since a measurement cannot be negative.
W = 7
And since L = W + 9, then L = 7 + 9 = 16
This is a 16x7 rectangle
