The output of the input x = 2 is 25
To get the output, we simply will substitute the value of 2 into the equation
We will represent every x by 2
We have this as;
\(\begin{gathered} f(2)=2(2)^4-2^3\text{ + 5(2) - 9} \\ =\text{ 32 - 8 + 10 - 9} \\ =\text{ 25} \end{gathered}\)Without multiplying, how can you tell which product will be greater, 3 x 4 or 6 x 2?
Answer:
we can compare 4 x 3 and 2 x 6, equal to 12. So, we can see that both products are similar and neither is greater.
Step-by-step explanation:
We can use the commutative property of multiplication to see that 3 x 4 is the same as 4 x 3 and 6 x 2 is the same as 2 x 6. When multiplying two numbers, the order of the numbers does not affect the product. Therefore, we can compare 4 x 3 and 2 x 6, equal to 12. So, we can see that both products are similar and neither is greater.
NEED MORE EXPLANATION?
The commutative property of multiplication states that when multiplying two numbers, the order of the numbers does not affect the product. This means that 3 x 4 is the same as 4 x 3, and 6 x 2 is the same as 2 x 6. We can use this property to compare 4 x 3 and 2 x 6, equal to 12. Therefore, we can see that both products are identical and neither is greater.
Pamela had $17. She bought 7 burgers for $5.50 and 2 kilograms of orange for $5.30. Find the remaining amount she has now.
$4.20
$5
$6
$6.20
Answer:
$ 6.20 Cents
Step-by-step explanation:
17 - 5.50= 11.5
11.50 - 5.30= 6.2
Add A Zero at the end
You Get 6.20
the area of the parallelogram is 40 in2. one base of the parallelogram is 5 in long. the other base is 10 in long find its 2 heights
Step-by-step explanation:
Area of parallelogram = base × height or say b×h
Given: h=8 inches
Area=120 sq.inches
⇒120=8×b
⇒120/8=b
⇒120/8=b = 15
Answer = 15 inches b
Simplify 9-{X -(7+X)}
A. 16
B. -2x +2
C.-2x +16
D. 2x +2
Analyze the diagram below and complete the instructions that follow.
8
45°
Find the value of x.
A. 4
B. 8√√2
2
C. 4√2
DG
45°
Save and Exit
Next
Subr
Answer:
Based on the diagram, we can see that the triangle formed by the line segment with length 8 and the two dashed line segments is a right triangle with a 45° angle. This means that the other two angles of the triangle are also 45° each.
Using the properties of 45°-45°-90° triangles, we know that the length of the hypotenuse is equal to the length of either leg times the square root of 2. Therefore, we have:
x = 8 / sqrt(2) = 8 * sqrt(2) / 2 = 4 * sqrt(2)
So the value of x is option B: 8√2 / 2 or simplified, 4√2.
A piece of charcoal was unearthed at an archeological site and found to contain 10% of its original carbon-14. The half-
life of carbon-14 is 5,730 years. Which equation can be solved to determine the age of the charcoal?
Answer:
C. 0.10Ao=Aoe-0.000121t
Step-by-step explanation:
Got it right in edg
Answer:
C
Step-by-step explanation:
tia charges a set up fee of 2$ and then 0.75 a square foot to power wash driveways which equation properly displays the amount she charges to power wash a driveway
Step-by-step explanation:
0.75x+2
2 is taken and 0.75 is not optional therfore
0.75=x(per square foot) =0.75x
and
$2 fee is required
so they must pay 2 dollars plus 0.75 everysquare foot
answer:
0.75x+2
Help please asp. !!!
9514 1404 393
Answer:
(d) 101,376 square inches
Step-by-step explanation:
At $5.50 each, Larry can afford ...
$485/($5.50/board) ≈ 88.2 boards
Each of the 88 boards is 8 inches wide and 144 inches long, so the total area Larry can afford to cover is ...
(88)×(8 in)(144 in) = 101,376 in²
Please help me with this function problem!
The derivative of the function is (5/2)x² - 2, the critical points are \((\frac{2\sqrt{5} }{5}, -\frac{8\sqrt{5} }{15}), (-\frac{2\sqrt{5} }{5}, \frac{8\sqrt{5} }{15})\), the points of inflection of the function is at (0,0)
What is the value of f'(x)(a) The derivative of f(x) is f'(x) = (5/2)x² - 2.
(b) The critical points occur where f'(x) = 0 or where f'(x) is undefined.
Setting f'(x) = 0, we get (5/2)x² - 2 = 0,
\((\frac{2\sqrt{5} }{5}, -\frac{8\sqrt{5} }{15}), (-\frac{2\sqrt{5} }{5}, \frac{8\sqrt{5} }{15}\)
(c) f'(x) = (5/2)x² - 2 is positive when x > (2√5)/5 and negative when x < (-2√5)/5. Therefore, f(x) is increasing on the interval
\((-\infty, -\frac{2\sqrt{5} }{5}), (\frac{2\sqrt{5} }{5}, \infty)\\\) and it decreases along the interval of
\((-\frac{2\sqrt{5} }{5}, \frac{2\sqrt{5} }{5})\)
(d) The second derivative of f(x) is f''(x) = 5x
(e) f''(x) is positive when x > 0 and negative when x < 0. Therefore, f(x) is concave up on the interval (0, infinity) and concave down on the interval (-infinity, 0).
(f) The points of inflection for f(x) are (0,0)
Learn more on critical points of a function here;
https://brainly.com/question/28982588
#SPJ1
how many solutions does the equation have? -3f + 3f = 0
Answer:
infinite solutions
Step-by-step explanation:
-3f + 3f = 0
0=0
This is always true so there are infinite solutions
Answer:
All Real Numbers (infinite Solutions)
Step-by-step explanation:
When you cancel out the -3f and the +3f you get \(0=0\) and since that is true you get all real numbers
Hope this helps
What is the range of the data below?
A: 22
B: 28
C: 41
D: 42
Answer:
20
Step-by-step explanation:
42 is the biggest and the smallest is 22 so 42-22 = 20!
Question 16 please help me
"What is the rest wavelength of an emission line observed at 2148 nanometers in a galaxy 100
Megaparsecs away from the Milky Way? Your answer should be significant to four digits."
The rest wavelength of the emission line observed at 2148 nanometers in the galaxy 100 million light-years away is approximately 2103 nanometers.
The rest wavelength of an emission line can be determined by applying the concept of redshift, which is a phenomenon observed in astrophysics where light from distant objects is shifted towards longer wavelengths due to the expansion of the universe.
In this case, the emission line is observed at 2148 nanometers (or 2.148 micrometers) in a galaxy located 100 million light-years away. To calculate the rest wavelength, we need to consider the redshift factor. Redshift, denoted by z, is defined as the observed wavelength divided by the rest wavelength minus 1.
Given that the observed wavelength is 2.148 micrometers and the galaxy is located 100 million light-years away, we need to convert the distance into a redshift factor using the cosmological relationship between redshift and distance. Assuming a standard cosmological model, we can use the Hubble constant to estimate the redshift.
The Hubble constant represents the rate at which the universe is expanding. Taking a typical value of the Hubble constant as 70 kilometers per second per megaparsec, we find that the redshift factor, z, is approximately 0.021.
To determine the rest wavelength, we rearrange the redshift equation as \((observed wavelength) = (1 + z) \times (rest wavelength)\). Substituting the values, we get \((2.148 micrometers) = (1 + 0.021) \times (rest wavelength).\)
Simplifying the equation, we find the rest wavelength to be approximately 2.103 micrometers or 2103 nanometers.
For more such questions on rest wavelength
https://brainly.com/question/31327842
#SPJ8
A plane is 116 mi north and 182 mi east of an airport. Find x, the angle the pilot should turn in order to fly directly to the airport. Round your answer to the nearest tenth of a degree. (Listing BRAINLEST) !
Answer: 32.5
Step-by-step explanation:
Just look up trigonometry calculator should be the first thing
Rae's unpaid credit card balance was $1,603. Her APR is 28.6%. What is her new
balance after she makes one new transaction for $51? Round answer to the
hundredths place. If answer doesn't have a hundredths place then include a zero so
that it does. Use a word not a symbol for the units.
$2010.458 is her new balance after she makes one new transaction for $51.
What does a credit balance mean?
The amount that the credit card company owes you is shown as a credit balance on your billing statement. Each payment you make results in credits being added to your account.
When you return something you purchased with your credit card, you can receive an additional credit.
Credit balance = $1,603
APR = 28.6%
= 28.6% * $1,603
= 458.458
Credit balance = $1,603 + 458.458
= $2061.458
net balance = $2061.458 - 51
= $2010.458
Learn more about credit balance
brainly.com/question/14781034
#SPJ1
A basket contains 5 purple pencils and 9 brown pencils. If two pencils are picked at random
one after the other without replacement, then what is the probability that both the pencils
are purple?
5/182
10/91
2/91
9/182
please state reasoning as to why it is what ever answer you provide..
Answer:
sorry id.k this im so sorry
Step-by-step explanation:
Answer:
10/91
Step-by-step explanation:
what is the decimal multiplier to decrease by 8.4
Answer:0.916
The decimal multiplier to decrease by 8.4% is 0.916.
Step-by-step explanation:
Compare these numbers 7-12
(ounces, pounds, tons ..)
The comparison of the numbers stated in different measurements of ounces, pounds, and tons is as follows:
7) 16lb > 16oz
8) 1,500lb < 2T
9) 3T > 5,999lb
10) 1,600oz > 10lb
11) 19lb > 300oz
12) 8oz = ¹/₂lb.
What are the different measurements of weight?The different measurements for weight include ounce, pound, and ton.
We know that 16 ounces equals 1 pound (lb.) and 2,000 pounds equals 1 ton.
1lb = 16oz
1 ton = 2,000lb
7) 16lb > 16oz, because 16lb = 256oz. (16 x 16)
8) 1,500lb < 2T, because 2T = 4,000lb (2,000 x 2)
9) 3T > 5,999lb, because 3T = 6,000lb (2,000 x 3)
10) 1,600oz > 10lb, because 1,600oz = 100lb (1,600 ÷ 16)
11) 19lb > 300oz, because 19lb = 304oz (19 x 16)
12) 8oz = ¹/₂lb., because 8oz = ¹/₂lb. (8 ÷ 16)
Thus, the different measurements have been compared using greater than (>), less than (<), or equal to (=).
Learn more about different weight measurements at https://brainly.com/question/28571689.
#SPJ1
Solve for x:
2x + 9 = 3
Answer:
x = -3
Step-by-step explanation:
2x + 9 = 3
2x = 3 - 9
2x = -6
x = -3
Answer:
- 3
Step-by-step explanation:
given
2x + 9 = 3
2x = 3 - 9
2x = - 6
x = - 6/2
x = - 3
hope it helps :)
A mathematical phrase represented by numbers, variables, and operations is a(n)
pls help:)
Answer:
Expression
Step-by-step explanation:
Answer: Expression
Got this right!!!
Hope this helps!!!
Determine if true:
10x3-20=20
Answer:
False
Step-by-step explanation:
10x3=30
30-20=10
10=20
These equations dont match.
Hence, the equation is false
Answer: This equation is FALSE. The left side 10 does not equal to the right side which is 20.
Step-by-step explanation:
In ADEF, e = 9.8 inches, f = 5.6 inches and ZD=149º. Find ZF, to the nearest 10th of
degree.
an
The angle measure of ∠F is approximately 66.9º.
What is an angle?
To find ∠F, we can use the Law of Cosines:
c² = a² + b² - 2ab cos(C)
Where c is the side opposite to the angle we want to find (in this case, side EF), a and b are the other two sides, and C is the angle opposite to side c (in this case, ∠F).
First, we need to find the length of side EF:
EF² = DE² + DF² - 2DE * DF cos(∠D)
EF² = (9.8)² + (5.6)² - 2(9.8)(5.6)cos(149º)
EF² ≈ 95.415
EF ≈ 9.769
Now, we can use the Law of Cosines again to find ∠F:
EF² = DE² + DF² - 2DE * DF cos(∠F)
cos(∠F) = (DE² + DF² - EF²) / 2DE * DF
cos(∠F) = ((9.8)² + (5.6)² - (9.769)²) / (2 * 9.8 * 5.6)
cos(∠F) ≈ 0.4035
∠F ≈ \(cos^{-1(0.4035)}\)
∠F ≈ 66.9º (rounded to the nearest 10th)
Therefore, the measure of ∠F is approximately 66.9º.
To know more about angle, visit:
https://brainly.com/question/28451077
#SPJ1
Complete question is: In ADEF, e = 9.8 inches, f = 5.6 inches and ZD=149º, the measure of ∠F is approximately 66.9º.
Nabil Francisco's tips from working at the hair salon were $4.50, $2.00, $3.50, $5,$8.00, and $4.50. What was his average tip?
Answer:
$4.58
Step-by-step explanation:
Add all of your numbers up.
$27.50
Divide by 6
4.58 is the average.
i hope this helps, good luck :)
A box of jerseys for a pickup game of basketball contains 9 extra-large jerseys7 large jerseys, and 3 medium jerseysyou are first to and grab 2 what is the probability that you randomly grab 2 large jerseys? Express your answer as a fraction in lowest adecimal rounded to the nearest millionth
We have a total of
9+7+3 = 19 jerseys. 7 of them are large.
The probability of picking a large jersey is:
7/19.
After you already picked up one large jersey, you're left with 6 out of 18 jerseys: 6/18
So, the probability will be:
\(\frac{7}{19}*\frac{6}{18}=\frac{42}{342}=\frac{7}{57}=0.122807\)Consider the parabola given by the equation:
f
(
x
)
=
4
x
2
+
8
x
−
1
Find the following for this parabola:
A) The vertex:
B) The vertical intercept is the point
C) Find the coordinates of the two
x
intercepts of the parabola and write them as a list, separated by commas:
It is OK to round your value(s) to to two decimal places.
The value following are
vertex: (6, -9)
y-intercept: (0, 27)
X = 3, 9
Finding Vertex (Part A)
Consider the formula -b/2a. This formula gives you the x-coordinate of the vertex.
\(y = 1x^2 - 12x + 27\)
a = 1
b= -12
c =27
-b/2a = - (-12)/2(1) = 12/2 = 6 (x-coordinate of vertex)
When solving for the y-coordinate of the vertex you will need to substitute your 'x" back into the equation.
\(y = 1(6)^2 - 12(6) + 27\)
y = 36 - 72 + 27 = -9 (y-coordinate of vertex)
--------------------------------------------------------------------------
Y- Intercept (Part B)
When looking for the y-intercept your "x" must always be 0.
Substitute 0 in every "x" in the equation.
y =\(1(0)^2 - 12(0) + 27\)
y = 27
y-intercept: (0, 27)
-----------------------------------------------------------------------------
X- Intercepts (Part C)
To find the values of the "x" factor.
\(y = 1x^2\) - 12x + 27
\(0 = 1x^2\) - 12x + 27
0 = (x - 3 )(x - 9 )
(x-3) = 0 (x-9) = 0
x = 3 x = 9
Learn more about Parabola at:
brainly.com/question/13319071
#SPJ1
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
For similar question on probability.
https://brainly.com/question/7965468
#SPJ8
Solve the equation -=-6
24
0-4
04
O-144
O 144
=-6 for b.
Answer:
-144
Step-by-step explanation:
aye its the flvs gang
b/24=-6
we multiply both sides by 24 since a fraction is basically dividing the 2 numbers the inverse is multiplying
b/24=-6
x24. x24
b= -144
hopes this helps please mark brainliest
If the rectangular menu is 3 feet long by 2 feet wide, what is the area of the menu?
Answer:
Step-by-step explanation:
Area of rectangular menu
Length × breadth
3×2=6sq feet
Answer:
6 ft^2
Step-by-step explanation:
area of rectangle = length * width
area = 3 ft * 2 ft
area = 6 ft^2
is {(98,6),(99,0),(100,7)} a function?
Answer:
Yes , this is the function
Step-by-step explanation:
Because every domain has their only one image
Fill in the blank for this question!
While an absolute value may be any number, the output from an absolute value expression is always greater than or equal to zero
How to Interpret an Absolute Value Function?The absolute value | x | of a real number x is defined as the non-negative value of x without regard to its sign. For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero along real number line.
The absolute value of any number is seen to be always greater than or equal to zero. Both a number and its opposite are the same distance from zero on the number line. Since they have the same distance from zero, they have the same absolute value.
Read more about Absolute Value Function at: https://brainly.com/question/3381225
#SPJ1