In the given expression ( f(x) = 2x² + 1 ) when when ( x = 3 ), the value of f(x) is 19.
Hence D)19 Is the correct answer.
What is an Equation?An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign as a connection between them.
Given that;
f(x) = 2x² + 1, what is (fx) when x = 3
We substitute 3 for x in the equation
f(x) = 2(3)² + 1
f(x) = 2(9) + 1
f(x) = 18 + 1
f(x) = 19
In the given expression ( f(x) = 2x² + 1 ) when when ( x = 3 ), the value of f(x) is 19.
Hence D)19 Is the correct answer.
Learn more about equations here: brainly.com/question/14686792
#SPJ4
Answer:
19
Step-by-step explanation:
did the test on edge
Solve for xx. Enter the solutions from least to greatest.
Round to two decimal places.
(x + 8)^2 - 7 = 0
Which of the following sets of numbers is not a Pythagorean triple?
A: 5, 12, 13
B: 10, 15, 20
C: 7, 24, 25
D: 3, 4, 5
Find the value for k for which y= 2x+k is a tangent to the curve y=2x^2-3 and determine the point of intersection
Answers:
k = -3.5
Intersection point is (0.5, -2.5)
================================================
Explanation:
Apply the derivative to y=2x^2-3 and you should get dy/dx = 4x
The derivative helps determine the slope of the tangent at any point on the curve.
The slope of the tangent line y = 2x+k is 2.
We want the slope of the tangent to be 2, so we'll replace the dy/dx with 2 and solve for x.
dy/dx = 4x
2 = 4x
x = 2/4
x = 0.5
Plug this into the curve's original equation.
y = 2x^2 - 3
y = 2(0.5)^2 - 3
y = -2.5
Therefore, the tangent line y = 2x+k and the curve y = 2x^2-3 intersect at the point (0.5, -2.5). This is the point of tangency.
We'll use the coordinates of this point to determine k.
y = 2x+k
-2.5 = 2(0.5) + k
-2.5 = 1 + k
k = -2.5-1
k = -3.5
Visual verification is shown below. I used GeoGebra to make the graph, but you could use any other tool you prefer (such as Desmos).
Please help........................................
Answer:
4:25
8:125
Step-by-step explanation:
Surface Ratio is the "Similarity Ratio" to the power of 2
Volume Ratio is the "Similarity Ratio" to the power of 3
It's logical and deductable by paying attention to the correlation between the "Side"s(or "Diameter"s) and the "Surface" and the "Volume"s in simple shapes like Circles and square.
By paying attention to the formula of the "Surface Area" and the "Volume" or the m /m^2 /m^3 ( the units of measurement) we can easily notice the relation.
what is the equation of line a [2 points]
Answer:
The two-point form of a line is used for finding the equation of a line given two points (x1,y1) ( x 1 , y 1 ) and (x2,y2) ( x 2 , y 2 ) on it. The two point-form of a line is:y−y1=y2−y1x2−x1(x−x1) y − y 1 = y 2 − y 1 x 2 − x 1 ( x − x 1 ) OR y−y2=y2−y1x2−x1(x−x2) y − y 2 = y 2 − y 1 x 2 − x 1 ( x − x 2 ) .
The function f(x) = 2* and g(x) = f(x) + k. If k = 2, what can be concluded about the graph of
g(x)?
the graph of g(x) is shifted vertically
Select a Value
the graph of g(x) is shifted horizontally
Type here to search
RI
Answer:
The graph of g(x) is shifted up 2 units.
A local business has an area reserved behind the store for a parking lot that is 78 meters long by 19 meters wide. The stalls of the lot are at 90° angles to a required aisle that bisects the lot. The aisle is 8 meters by 78 meters. An area reserved for a parking lot is 78 meters long by 19 meters wide. 2 stalls and an aisle are in the reserved area. The aisle is 78 meters long and 8 meters wide. Use the layout of the parking lot to answer the questions. What is the total area available for cars to park? m2. If the parking spaces are compact, they have an area of 12.5 m2. How many compact parking spaces will fit in the lot? . If the parking spaces are not compact, they will be 3 meters by 5.5 meters. How many noncompact parking spaces will fit in the lot?
The total area available for cars to park is 858 square meters, the number of compact parking space is 68 and the number of non-compact parking space is 52
The total area available
The dimension of the parking lot is:
78 meters by 19 meters
The dimension of the aisle is:
8 meters by 78 meters
The total area available is the difference between the area of the parking lot and the area of the aisle.
So, we have:
Available Area = 78 * 19 - 8 * 78
Available Area = 858
Hence, the total area available for cars to park is 858 square meters
The number of parking space
The total area available for cars to park is 858 square meters, and the area of each parking spot is 12.5 square meters
So, the number of parking lot is:
n = 858/12.5
n = 68.64
Remove the decimal
n = 68
Hence, the number of parking space is 68
The number of parking space for non-compact parking space
The total area available for cars to park is 858 square meters, and the dimension of each parking spot is 5.5 meter by 3 meters
So, the number of parking lot is:
n = 858/(5.5 * 3)
n = 52
Hence, the number of parking space is 52
Read more about areas at:
https://brainly.com/question/24487155
Answer:
The above answer is correct!
To put it a bit more simply:
First box: C. 858
Second box: C. 68
Third box: B. 52
Step-by-step explanation:
Hope this helps!
A party favor is made up of four equal solids and is constructed from paper. Each of the four solids is open at the end. The net represents one of the solids.
A net of a solid has a square base with side lengths of 2 inches, and 4 triangular sides with a height of 3 inches. B is the base, and C, D, and A are the triangular sides.
How much paper is needed to make a party favor?
Answer:
B, 12, 48.
Step-by-step explanation:
Hope this helped!
Select the correct answer from each drop-down menu. Graph shows 3 polygons on a coordinate plane. First polygon is at A(1, 1), B(2, 3), C(4, 3), D(3, 1). Second polygon prime ABCD is translated 2 units down and reflected. Third polygon double prime ABCD translated 2 units to the left and reflected. The figure shows three parallelograms: ABCD, A′B′C′D′, and A″B″C″D″. Polygon ABCD is to create parallelogram A′B′C′D′. Polygon ABCD is to create parallelogram A″B″C″D″.
The transformation that took place is a horizontal stretch by a factor of 2
How to explain the transformation?We are given that Polygon ABCD transformed to create polygon A'B'C'D'. Clearly, the polygon is first a translation of the polygon ABCD 1 unit to the right and then it is horizontally stretched by a scale factor of 2.
Since the length of the polygon was earlier 2 units and then the length of the Polygon A'B'C'D' is 4 units. Hence, the transformation that took place in the Polygon ABCD is a horizontal stretch by a factor of 2
Learn more about transformation on:
https://brainly.com/question/4289712
#SPJ1
Answer: A Horizontal Stretch by a Factor of 2
Step-by-step explanation:
Pls help me if u can
This is a statistics problem involving Group Frequency Distribution Table. See the attached and the details below.
What is a Group Frequency Distribution Table?By dividing observations into intervals and tabulating the frequencies for each interval, data can be organized. A grouped frequency table is the end product.
The intervals in this distribution are referred to as classes.
What is the Estimated Mean of the Grouped Frequencies?This is obtained by dividing the sum of the product of all mid points and their frequencies by the total number of observations.
That is Estimated Mean = (f * x)/n ------See the attached sheet.
⇒ 503/50
= 10.06
What is the Estimated Median of the Grouped Frequencies?The median of the 50 observations = 28
This is arrived at by dividing the sum of 25th and the 26th number by 2.
That is (28 + 28)/28=28
This median falls in to the third class - 25-29. Hence, the median group is 25-29.
The estimated median value is computed as follows:
Estimated Median = L + (((n/2)-B)/G) x w
Where :
L is the lower class boundary of the group containing the mediann is the total number of valuesB is the cumulative frequency of the groups before the median groupG is the frequency of the median groupw is the group widthInserting the values we have :
L = 25
n = 50
B = 0 + 1 = 1
G = 2
w = 5
Estimated Median = 25 + (((50/2)-1)/2 ) * 5
= 25 + (24/2) * 5
= 85
How do you calculate the Estimated Mode?By observation, the modal group is 30-34. This is because it has the highest frequency of 4.
Hence, the Estimated Mode (EM) is arrived at using the formula:
EM = L + (fₙ-fₙ₋₁)/(fₙ-fₙ₋₁) + (fₙ-fₙ₊₁) x w
where:
L is the lower class boundary of the modal groupfn-1 is the frequency of the group before the modal groupfn is the frequency of the modal groupfn+1 is the frequency of the group after the modal groupw is the group widthNote that
L = 30
fn-1 = 2
fn = 4
fn+1 = 3
w = 5
Hence,
EM = 30 + (4-2)/((4-2) + (4-3)) x 5
= 30 + (2/(2+1)) x 5
= 30 + (2/3) x 5
EM = 33.33
In summary,
Estimated Mean: 10.06Estimated Median: 85Estimated Mode: 33.33Learn more about Group Frequency Distribution at:
https://brainly.com/question/11228919
#SPJ1
find the solution for x when x^3 = 27/8
Answer:
3/2
Step-by-step explanation:
[tex] {x}^{3} = \frac{27}{8} [/tex]
[tex] x = \sqrt[3]{ \frac{27}{8} } = \frac{3}{2} [/tex]
Please Help me answer all 4 questions with a full explanation so I can solve the rest on my own.
[tex]\\ \rm\Rrightarrow (2x^2)^3.2yx^0=8x^6.2y=16x^6y[/tex]
[tex]\\ \rm\Rrightarrow (2x^4y^3)^3.2x^4y^4=8x^{12}y^6.2x^4y^4=16x^{16}y^{10}[/tex]
[tex]\\ \rm\Rrightarrow (m^3n^0(2m^3n^2)^4)^2=(m^316m^{12}n^8)^2=(16m^{15}n^8)^2=256m^{30}n^{16}[/tex]
[tex]\\ \rm\Rrightarrow (2xy^3)^2.2x^2y^0=4x^2y^6.2x^2=8x^4y^6[/tex]
please help me find area and perimeter to this!!!!
Answer:
area: 105.3
perimeter: 66.7
Step-by-step explanation:
area: 13*16.2/2 = 105.3 formula S = B*H
perimeter: 31+16.2+19.5 = 66.7
An ellipse centered at the origin has a vertical major axis of 12 units and an eccentricity of 0.5.
What is the equation of the ellipse?
The equation of the ellipse formed is x²/11.7² + y²/12² = 1
Equation of an ellipseThe formula for calculating the equation of an ellipse is expressed as;
x²/a² + y²/b² = 1
where
a and b are the minor an major axis respectively;
Given the following
b = 12
e = 0.5
Determine the value of a
e² = √b²-a²/b
0.5² = √12²-a²/12
12 * 0.25 = √144-a²
9 = 144 - a²
a² = 136
a = 11.7
Substitute into the fomula
x²/11.7² + y²/12² = 1
Hence the equation of the ellipse formed is x²/11.7² + y²/12² = 1
Learn more on ellipse here: https://brainly.com/question/16904744
#SPJ1
please help, thank u!
Answer:
False
Step-by-step explanation:
Angles 1 and 2 are not adjacent because they do not share any common line segments with each other.
Answer:
False
Step-by-step explanation:
The definition of adjacent angles is two angles that share a common side and a common vertex. Also, they don't overlap
So in this case ∠1 and ∠2 share the common vertex A but do not share the common side, so these angles are not adjacent.
In this diagram, an example of adjacent angles would be ∠1 and ∠3.
Here's a visual example to understand what I meant
Give the value of C for which the equation has one solution.
What’s the answer for this? Please help
Answer:
[tex]c = 9[/tex]
Step-by-step explanation:
[tex] {(x - a)}^{2} = {x}^{2} - 2ax + {a}^{2} \\ 2ax = 6 \\ a = 3 \\ c = {a }^{2} \\ c = 9[/tex]
Enter the y coordinate of the solution to this system of equations.
6x + y = 8
x − 2y = 10
Answer
Please see attached photo below for detailed analysis
Explanation
hope this helps.please rate and mark brainliest!!!A package of 8 notebooks costs $10.80. This equation can be used to determine the cost, n, in dollars, of each notebook in the package.
8n = 10.80
What is the cost, in dollars, of each notebook in the package?
Enter your answer in the box.
Answer:
$1.35
Step-by-step explanation:
8n = 10.80
Divide both sides by 8 to get n alone.
n = 10.80/8 = $1.35
If anyone can help me with this then thank you. :)
Answer:
steps below
Step-by-step explanation:
(a) first green: 8/23 AND 2nd green: 7/22
AND: multiplication.. 8/23 x 7/22 = 28/253 ≈ 0.11 (11%)
(b) 15/23 x 8/22
Please help!! 50 points!!
Use the exponential equation below to answer Part A, Part B, and Part C.
35^x = 8
Part A: Explain the steps to solve the equation.
Part B: Rewrite the exponential equation in logarithmic form using the definition of logarithms.
Part C: Use the equation from Part B to solve for x. Round to the nearest hundredth
Answer:
a) below
b) log_35 (8) = x
c) x = 0.58487
Step-by-step explanation:
a) 35^x=8
apply the exponent rule
xln(35) = ln(8) → x = ln(8)/ln(35) → x = 3ln(2)/ln(35)
x = 0.58487
c) log_35 (8) = x
x = log_35 (8)
base form (Rewrite 8 in power)
x = log_35 (2^3)
log rule: log_a(x^b) = b*log_a(x)
log_35 (2^3) = 3log_35(2)
x = 3log_35(2)
x = 0.58487
A scientist studies a sample that weighs 1 ounce, which is about 28 grams. About how many grams would be in a 48-ounce sample?
Answer: 1344g
Step-by-step explanation:
if 1 ounce = 28 grams and we have 48 ounces,
multiply 48 by 28 to find the amount of grams
48×28 = 1344g
The area of a rectangle is x² + 2x -15. If its length is x + 2 units, what is its width?
Length of the rectangle is 8 units
Step-by-step explanation:
Step 1: Find the length, let width be x.Area of the rectangle = 48 units
Length = x + 2
⇒ Area = Length × Breadth
48 = x (x + 2)
48 = x² + 2x
x² + 2x - 48 = 0
x² + 8x - 6x + 48 = 0 (Product Sum rule to factorise)
x(x + 8) - 6(x + 8) = 0
(x - 6)(x + 8) = 0
⇒ x = 6, -8 (negative value is neglected)
∴ x = 6
x + 2 = 8
By rounding to one significant figure, estimate the answer to these questions:
Answer:
To have one significant figure means to have one number with a significant value. Since all of the answers are greater than one, the final answer with the correct sig figs involves using the two leftmost numbers. If the second leftmost number is greater than 5, round the leftmost number up one unit. If the number is less than 5, leave the leftmost number alone. Finally, change all of the values besides the leftmost to zero. There should be no decimal place because having it would mean the zeros to the left of the decimal place are significant.
29 x 31
-------------- = 3329.6 ------> 3,000
0.27
4.8 x 37
--------------- = 845.7 --------> 800
0.21
9.7 x 26
--------------- = 11463.6 -------> 10,000
0.022
ASAP ASAP ASAP PLS ANSWER
area triangle:
(1.7m×2m)×2
= 1.7m²
-> 2 triangles so: 1.7m²×2= 3.4m²
area rectangles(walls):
2m×3m
= 6m²
-> 2 walls so: 6m²×2=12m²
area bottom rectangle:
3m×2m=6m²
-> total area:
6m²+12m²+3.4m²= 21.4m²
Graph the system of inequalities. Then use your graph to identify the point that represents a solution to the system.
y < 6
y ≥ –3x – 1
A. (0, 6)
B. (6, 0)
C. (-6, 5)
D. (-6, -2)
Answer:
Your answer is B
Step-by-step explanation:
6.14 Checkpoint: Systems of Linear Inequalities
I took the test.
Simplify.
10(15 + n)
150 + 1077
50 + 77
150 + n
1507
Helpppp
Answer:
A
Step-by-step explanation:
In this problem you'd simply distribute the 10. So 10x15 and 10*n
150+10n
- - - - - - - -- - - - - - - - - - -- -- - - - - - - -- - - - - - - - - - -- - - - - - - -- - - - - -
[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
What is 10(15+n) equal to?
[tex]\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
Multiply 10 times 15:-
150
Multiply 10 times n:-
10n
Add the terms:-
150+10n
Good luck.-- - - - - - - - - - - -- - - - - - - - - - -- - - - - -- -- - - - - - - - - - - - - -- - - - - - - -
What is 564-53.2
Explain how you worked it out
Then what is 700.3-89.3
Explain how you worked it out
Which trigonometric function does the graph below represent?
Answer:
I believe it 2 cos(20 - ℼ/8) - 1 or 2 sin(20 + ℼ/4) - 1
Step-by-step explanation:
Complete the function table for the function y=(1/2)x+3
Answer:
76
U
768
Is just for fun heh brother
I need help with this question.
To complete the chart make sure you to determine the number of girls and boys in each belt category, and verify the total people.
What does this task requires?This requires you to complete the chart presented based on graph, a data chart, or similar.
How to complete the chart?Carefully read the graph or data chart.Start filling out each of the categories and find out the missing values. For example if there are 15 people with black belt and 8 are girls it can be concluded 7 people are boys.Add the total in each category and make sure these totals match the total people.Note: This question is incomplete; due to this, the answer is based on general knowledge.
Learn more about chart in: https://brainly.com/question/22600816
#SPJ1