Find the average rate of change for the function f(x)=3x+17
Using the intervals of x=3 to x=6
Show ALL your work to receive credit
Answer: what unit is this?
Step-by-step explanation:yeah I’ll need the unit to solve this question
Trey has plastic cubes stored in a box that measures 4 ft long, 212ft wide, and 2 ft tall.
The edge length of each plastic cube is 12ft.
How many plastic cubes can fit into the box?
there are 160 plastic cubes that can fit into the box.
Step-by-step explanation:
brainlist plz
Answer:
27
Step-by-step explanation:
I took the same test
The length of a rectangular poster is 2 more inches than two times its width. The area of the poster is 84 square inches. Solve for the dimensions (length and width) of the poster.
Step-by-step explanation:
w = width
2w + 2 = Length
Area = W x L = 84 = w (2w+2)
84 = 2w^2 + 2w
0 = 2w^2 + 2w - 84 Use Quadratic Formula
a = 2 b=2 c = -84
to find
W = 6 then L = 14 inches
Solve for z
Z - 4/9 - 1/3 = 5/9
Please explain step by step on what I have to do to get the answer for z!
Answer:
z = 4/3
Step-by-step explanation:
First combine the fractions -4/9 and -1/3:
-4/9 - -1*3/3*3
= -4/9 - 3/9
= -7/9
So now we have
z - 7/9 = 5/9
Now add 7/9 on both sides.
z = 12/9
Now if we simplify this further, we see that both numbers are divisible by 3. (12/3 is 4 and 9/3 is 3). So our final answer would be
z = 4/3
if you don't mind, could you please give me brainliest? thank you!
Answer:
\(\frac{4}{3}\) o r 1 \(\frac{1}{3}\)
Step-by-step explanation:
z - \(\frac{4}{9}\) - \(\frac{1}{3}\) = \(\frac{5}{9}\) There are a couple of ways to start this. I would like to clear the fractions, so I am going to multiple all the way through by the least common multiple of the denominators 9 and 3. That numbers would be 9
(9)z -(\(\frac{9}{1}\))\(\frac{4}{9}\) - (\(\frac{9}{1}\))\(\frac{1}{3}\) =( \(\frac{9}{1}\))\(\frac{5}{9}\)
9z - 4 - 3 = 5 Combine like terms
9x - 7 = 5 Add 7 to both sides of the equation
9x = 12 Divide both sides by 9
x = \(\frac{12}{9}\) Divide the top and bottom by 3
x = \(\frac{4}{3}\) o r 1 \(\frac{1}{3}\)
\(\frac{9}{1}\) x \(\frac{4}{9}\) = \(\frac{36}{9}\) = 4
\(\frac{9}{1}\) x \(\frac{1}{3}\) = \(\frac{9}{3}\) = 3
\(\frac{9}{1}\) x \(\frac{5}{9}\) = \(\frac{45}{9}\) = 5
From Monday - Tuesday, Adam earns $122 dollars. If he continues to earn the same amount for the rest of the week, how much will he have at the end?
Answer:
$437
Step-by-step explanation:
There are 7 days in a week.
Let's stop at the last even number, the 6th day.
Tuesday is four days away from Sunday, so multiply 122 by 3.
\(\mathrm{122}\) × \(3\) = \(366\)
Finally, we are at the 7th day. There is no 8th day in a week, so divide 122 by 2.
\(122\) ÷ \(2\) \(=61\)
Now, let's add 61 to 366. We get $437, and that is our answer.
Hope this helps!
A chain of car dealership got a shipment of 9,240 new cars. There are the same number of cars in every color. How many colors could there be?
Answer:
9,420 colors making exactly 1 car of each color exist
Step-by-step explanation:
Since there is no additional information, such as the number of colors we have to assume the maximum. Since there are over 10 million colors that exist and there is at least one car of each color, then there would be a maximum of 9,420 colors making exactly 1 car of each color exist. On the other end of the spectrum would be 2 colors making 4,710 cars of each color.
The number of different possible colors of vehicle can be found using the relation
\( \frac{9240}{c} \)
The number of cars shipped = 9240The number of cars belonging to each different color is the sameThe number of different colors possible :
Total number of shipment ÷ Number of cars belonging to each color If the Number of cars belonging to each color = cThe number of different possible colors can be obtained using the expression :
\( \frac{9240}{c} \)
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What Pythagorean triple is made using the Pythagorean identity and the following numbers?
x = 2, y = 1
1. 3, 4, 5
2. 4, 1, 25
3. 2, 1, 2
4. 4, 1, root 5.
The Pythagorean triples here are; 3, 4, 5. Option 1
What is a Pythagorean triple?We define a Pythagorean triple as a^2+b^2 = c^2 where a, b and c are the three positive integers. Given that we can find the Pythagorean triple from; (x2 - y2)2 + (2xy)2 = (x2 + y2)2
Where; x = 2, y = 1
Substituting values have;
(2^2 - 1^2)^2 + (2*2*1)^2 = (2^2 + 1^2)^2
This results to;
3^2 + 4^2 = 5^2
9 + 16 = 25
25=25
Therefore the Pythagorean triples here are; 3, 4, 5. Option 1
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Select the procedure that can be used to show the converse of the Pythagorean theorem using side links chosen from 3 feet, 4 feet, 5 feet in 6 feet
Answer: B
Step-by-step explanation:
I got it on Aprx
The 3 feet side and 4 feet side with a right angle between them. Then the 5 feet side will fit to form a right-angle triangle. Then the correct option is B.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
Pythagorean theorem using side links chosen from 3 feet, 4 feet, 5 feet in 6 feet.
Then
5² = 3² + 4²
25 = 9 + 16
25 = 25
The 3 feet side and 4 feet side with a right angle between them. Then the 5 feet side will fit to form a right-angle triangle.
Then the correct option is B.
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Which of the following is the fourth vertex needed to create a rectangle with vertices located at (−15, 3), (−15, −6), and (25, −6)?
(−6, 25)
(−25, −3)
(6, −25)
(25, 3)
The missing fourth vertex needed to create a rectangle is (25, 3) option D.
Define the term vertices?Vertices (singular: vertex) are the corners or points where two or more lines, edges, or curves intersect and form an angle.
Here, the width of one side of the rectangle;
⇒ +3 - (-6) = 9 unit (left side y-coordinates)
Similarly the length of the rectangle;
⇒ 25 - (-15) = 40 unit (up-side x-coordinates)
Since a rectangular shape has two sets of equal sides of equivalent width (y-coordinates) and length (x-coordinates), we realize that the missing fourth vertex should be 9 units and 40 units over the point (25, -6). and (-15, 3)
So, we add 9 to the y-coordinate of (25, -6) and add 40 to the x-coordinate of (-15, 3) to get the missing vertex:
⇒ (25, -6+9) = (25, 3)
⇒ (-15+40, 3) = (25, 3)
Therefore, the missing fourth vertex is (25, 3)
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If f(x) = 2x(1-x)^2, then f(1) =
(A) 0
(B) 2
(c) 4
(D) 6
(E) 8
Answer:
0
Step-by-step explanation:
2(1)*(1-(1))²=0
plug in 0 for everywhere you see x
Write a couple of paragraphs describing how you can determine the values of x that a) make
the rational function 0, and b) the values of x where the rational function is undefined:
f(x) = x²-2x+1
4x+5
The required paragraphs regarding with given expression f(x) = x²-2x+1/4x+5 have been explained later in the section.
A rational expression is a fraction in which the numerator and denominator are polynomials.
Here,
a) To determine the values of x that make the rational function f(x) equal to 0, we need to solve the equation:
x² - 2x + 1 = 0
Next, we can factor the quadratic on the left-hand side of the equation:
(x - 1)(x - 1) = 0
The quadratic is a perfect square, and we can see that it is equal to 0 when x = 1. So, the value of x that makes the rational function 0 is x = 1.
b) To determine the values of x where the rational function f(x) is undefined, we need to look for values of x that would make the denominator, 4x+5, equal to 0. If the denominator is equal to 0, then we would be dividing by 0, which is undefined.
So, we set the denominator equal to 0,
4x + 5 = 0
4x = -5
x = -5/4
Therefore, the value of x where the rational function is undefined is x = -5/4.
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Could you please help me with my problem?
Answer:
54
Step-by-step explanation:
Ann took a taxi home from the airport. The taxi fare was $2.10 per mile, and she gave the driver a tip of
$5. Ann paid a total of $49.10.
Answer:
Ann went 21 miles in the taxi
Step-by-step explanation:
Find the range of the data. .
Length (inches) of fish in tank:
2,3,1, 4, 5, 2, 2
Range: [?] in.
Answer: 4
Step-by-step explanation: Range is the difference between the highest and lowest number, so since 5 is the highest and 1 is the lowest you subtract 1 from 5 to get your answer: 4.
Answer:
4 inch
Step-by-step explanation:
5 -1= 4
since max is 5 and min is 1.
saleem put 120 feet of fence around a rectangular garden. The length of the garden is twice its width. what is the width of the garden?
Answer:
40
Step-by-step explanation:
the width is 2x and the length is x.
2x+2x+x+x=120
6x=120
x=\(\frac{120#\\}{6}\)
x=20
2*20= width
width is 40 feet.
Find the GCF if the following terms . (30x^5 ,60x^3)
The coefficient of the GCF of a set of algebraic terms, wil be the GCF of the coefficients of the terms.
Notice that the coefficients in this case, are 30 and 60.
The greatest comon factor of this set, is 30, since:
\(\begin{gathered} 30=30\cdot1 \\ 60=30\cdot2 \end{gathered}\)On the other hand, the variable x appears with an exponent of 5 in one case and an exponent of 3 in the other case. The greatest common factor for the variable x will be the lowest power, in this case, 3. Notice that:
\(\begin{gathered} x^3=x^3\cdot1 \\ x^5=x^3\cdot x^2 \end{gathered}\)Then, we can factor out the following:
\(30x^3\)Notice that each term can be written as a product of this factor:
\(\begin{gathered} 30x^5=30x^3(x^2)^{}^{}^{}_{} \\ 60x^3=30x^3(2)^{}_{} \end{gathered}\)Therefore, the greatest common factor (GCF) is:
\(30x^3\)algebraically determine whether each of the following functions is even, odd or neither. and graph itA.y = |x|-2
Answer:
The function is even
Explanation:
A function is even if f(-x) = f(x). So, for the function y = |x| - 2, we can write f(x) and f(-x) as:
f(x) = | x | - 2
f(-x) = | - x | - 2 = | x | - 2
Since the absolute value of x and -x are equal, we can say that the function is even.
On the other hand, a function is odd if f(-x) = -f(x). So for the function, f(-x) and -f(x) are equal to:
f(-x) = | - x | - 2 = | x | - 2
-f(x) = - ( | x | - 2) = - | x | + 2
Since f(-x) and - f(x) are not equal, the function is not odd.
Finally, the graph of the function is:
Therefore, the function is even.
how do i know which one?
The inequality value that would be able to show/x/ ≤ 5 is option A
What is inequality?
In mathematics, inequality refers to a mathematical statement that expresses a relationship between two quantities, indicating that one quantity is greater than, less than, or not equal to the other.
The symbol that we have is telling us that the value of the x would be less than or it would be seen to be equal to five.
We can see that /x/ ≤ 5 would exclude the negative values and this can be seen in the option that is marked option A
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Help please 111119228282
Here we have a dilation of scale factor 2.
How to describe the enlargement?We can see that bot figures we have the same slope, so we just have a dilation of scale factor K to go from figure A to figure B.
To find the value of K, notice that for some side length L in figure A, the correspondent length L' in figure B must be:
L' = K*L
Here if we use the left sides, we will get:
for figure A; L= 2
for figure B: L = 4
4 = K*2
4/2 = K
2 = K
So this is a dilation of scale factor k = 2.
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please help me o want degrees
what is the slope of the line?
Las ecuaciones de la demanda y la oferta de cierto producto están dadas por espacio 4 q al cuadrado más p al cuadrado igual 1405 y p igual q más 10 donde p está en dólares por unidad y q está en unidades. Para un precio de 27 dólares por unidad, determine el gasto real del consumidor.
The actual consumer spending at a price of $27 per unit is $268.26.
How to calculate the priceSubstitute the given price into the supply equation to get the corresponding quantity supplied:
p = q + 10
27 = q + 10
q = 17
Substitute q = 17 into the demand equation to get the corresponding price:
4q² + p² = 1405
4(17)² + p² = 1405
p² = 1405 - 1156
p² = 249
p = 15.78
The actual consumer spending can be calculated by multiplying the quantity demanded by the price:
Actual consumer spending = quantity demanded x price per unit
= 17 x 15.78
= $268.26
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The demand and supply equations for a certain product are given by space 4 q squared plus p squared equals 1405 and p equals q plus 10 where p is in dollars per unit and q is in units. For a price of $27 per unit, determine the actual consumer spending.
what is the range of the number of goals scored?
The minimum number of goals scored is 0 and maximum number of goals scored is 7. The range is equal to difference between maximum number of goals and minimum number of goals.
Determine the range for the goals scored.
\(\begin{gathered} R=7-0 \\ =7 \end{gathered}\)So answer is 7.
I'm in the test and need help please
Graph the solution to the following linear Inequality
What is the absolute value I15I
Answer:
its 15
Step-by-step explanation:
ms. simonaue and Mrs. law are racing in the big race. Their distance in meters and their time is measured in seconds. Ms. Simonaue ride is described in the equation.
\(y = \frac{3}{2} x + 4\)
what is the description to match the equation. what is her rate? did she get a head start?
Answer:
She started 4 meters ahead and moves forward 1.5 meters every second.
The rate is 1 and 1/2 meters per second and she did get a head start of 4 meters
graph the inequality p < -8.
Answer:
I have graphed it and attached an image in the explanation part.
Step-by-step explanation:
B. In the Gizmo, graph the equation 2(x + 4) = 2x + 8. What is the solution to this equation?
Sydney, this equation has multiple solutions.
The solution is : (−∞,∞)
All you have to do in Gizmo is to draw a shaded region all over the cartesian plane.
Let's do it here. Syndey:
if k(x) =3x, then f'(x)=?
After training Naruto went to a ramen shop for dinner. Since Naruto eats ramen for lunch and dinner daily, the shopkeeper gives him a 33.33% discount. If ramen costs 45 cents, how much does Naruto spend in 15 days?
Points given: 20
To calculate how much Naruto spends on ramen in 15 days, we need to determine the total cost of ramen per day and then multiply it by 15.
Since Naruto receives a 33.33% discount, he pays 100% - 33.33% = 66.67% of the original price.
66.67% of 45 cents is (66.67/100) * 45 = 30 cents.
So, Naruto spends 30 cents on ramen per day.
To find out how much he spends in 15 days, we multiply the daily cost by the number of days:
30 cents * 15 = 450 cents.
Therefore, Naruto spends 450 cents, which is equivalent to $4.50, on ramen in 15 days.