Answer:
x ≈ - 0.7 ≈ 0.7; Option A
Step-by-step explanation:
Let us substitute f ( x ) with 0, as to find the " real zero value( s ) " of the function;
0 = 3x^4 + x^2 - 1 ⇒ Swap sides, as such,
3x^4 + x^2 - 1 = 0 ⇒ Rewrite equation with u being = x^2, u^2 = x^2,
3u^2 + u - 1 = 0 ⇒ And solve for u by completing the square,
3u^2 + u = 1 ⇒ Divide either side by 3,
u^2 + u / 3 = 1 / 3 ⇒ Write equation in the form x^2 + 2ax + a^2 = ( x + a )^2, solving for a,
2au = 1 / 3u,
a = ( 1 / 3u ) / 2u,
a = 1 / 6 ⇒ Add value of a^2 to either side of equation,
u^2 + u / 3 + ( 1 / 6 )^2 = 13 / 36,
( u + 1/ 6 )^2 = 13 / 36 ⇒ Solve for u,
u = ( √13 - 1 ) / 6, and u = ( - √13 - 1 ) / 6 ⇒ Substitute value of u back into first equation to solve for x,
x = √( - 1 + √13 ) / 6 ), x = - √( - 1 + √13 ) / 6 ), x = √( - 1 - √13 ) / 6 ), x = - √( - 1 - √13 ) / 6 ) ⇒ Convert to approximate decimal form,
x = 0.6589.... = - 0.6589....
Answer; x ≈ - 0.7 ≈ 0.7; Option A
I need help on my math packet!! Also I think I have an answer but I don’t know if it’s correct!
(+6) + (-9) =
Tysm if u helped!!
Answer:
-3
Step-by-step explanation:
Adding a negative number is like subtracting. Subtracting more than the original positive number gets you in to the negative numbers.
1.6 × 10^6 ÷ 4.8 × 10^5. Give your answer as a mixed number
Answer:
(10^11)/3
10^6 x 10^5 = 10^11
8/5 x 5/24 = 1/3
so multiply 10^11 and 1/3 together
I need help on this asap!
The solutions for the systems of inequalities are:
a) (0, -50), (0, -100), (0, -125)
b) (0, 20), (0, 23) , (0, 24).
How to identify 3 solutions of each system?
When we have a system of inequalities, a solution is a point (x, y) that solves both ienqualities at the same time.
The first one is:
y ≤ x - 8
y < -3x - 9
Here y must be smaller than x, then we can define x like x = 0, and really small values for y, like y = -50, replacing that we will get:
-50 ≤ 0 - 8 = -8
-50 < - 3*0 - 9 = -9
Both of these are true, so (0, -50) is a solution, and trivially, other solutions of the system of inequalities can be things like (0, -100) and (0, -125) are other two solutions.
For the second system:
y > 5x + 1
y > 3
Let's do the same thing, x = 0 and y gets really large values, like y = 20
20 > 5* + 1 = 1 this is true.
20 > 3 this is true.
so (0, 20) is a solution, and also are (0, 23) and (0, 24).
Learn more about systems of inequalities:
brainly.com/question/9774970
#SPJ1
Help please need it fast
5½x2½= plzz help i need it
Answer:
Step-by-step explanation:
55/4 or 13 3/4
Jack has 9c sweets in a bag. He eats 2c sweets. a) Write a simplified expression to say how many sweets Jack has left. b) How many does he have left if c = 3?
a) The simplified expression to represent the number of sweets Jack has left after eating 2c sweets is: \(\displaystyle 9c-2c\).
b) To find how many sweets Jack has left if \(\displaystyle c=3\), we substitute \(\displaystyle c=3\) into the expression: \(\displaystyle 9(3)-2(3)=27-6=21\).
Therefore, if \(\displaystyle c=3\), Jack has 21 sweets left.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Answers:
(a) 7c
(b) 21
============================
Explanation:
Start with 9c and subtract off 2c to get 9c-2c = 7c.
We can think of it like 9 candies - 2 candies = 7 candies. Replace each "candies" with "c" so things are shortened.
Afterward, plug in c = 3 to find that 7c = 7*3 = 21
question in the screenshot
Answer:
the anser it is I think it is 10025
Answer:
116.11 square centimeters
Step-by-step explanation:
subtract area of the big circle with the little circle
formula
area is pi times radius squared
big circle
pi times (6.5 times 6.5) =
132.73
small circle
pi times (2.3 times 2.3) =
16.62
132.73 - 16.62 = 116.11
what are the roots of the quadratic equation below 2x ^ 2 - 12x + 13=0 PLEASE HELP
Answer:
messy... but hope it helps you.
if the surface area is 225 square inches, then what is the radius r ? in other words, evaluate r(225) . round your answer to 2 decimal places.
The radius is approximately 3.78 inches.
We can solve the question using the formula for the surface area of a sphere:
S=4πr^2
We are given that the surface area is 225 square inches, so we can substitute this value into the formula and solve for r:
\(225=4\pi r^2\frac{225}{4\pi}\)
= r^2
r={{225}{4π}}
approx 3.78
A sphere does not have any edges or vertices, like other 3D shapes. The points on the surface of the sphere are equidistant from the center.
Hence, the distance between the center and the surface of the sphere are equal at any point. This distance is called the radius of the sphere.
The Radius of a circle or sphere is equal to the Diameter divided by 2.
Learn more about Diameter
https://brainly.com/question/28162977
#SPJ11
HELP PLS ILL MARK U BRAINLIEST
Answer:
-3.4p + 3p + 4
Step-by-step explanation:
Solve the parenthesis with the minus sign in front of it. Basically, inverse all of the operations within the parenthesis.
The -3q will become a 3q and the -4 will become a 4.
So now with the positive 3q and 4, you will just add those to the -3.4p
Therefore, the answer is -3.4p + 3p + 4
Hope this helped! Please mark me as brainliest!
Converting Real Life Scale.. -Page 2-
NEED HELP ASAPPP 50 POINTS
(picture is linked belowww)
tysm like fr <33
The table with the scale measurements is given by the image shown at the end of the answer.
How to obtain the measurements?The measurements are obtained applying the proportion given for each table.
The symbols are given as follows:
': feet.'': inches.For the first table, we have that every inch on the table represents one feet in real life, hence:
2'' on the paper represents 2' in real life.2' on the paper represents 24' in real life. (as one feet = 12 inches, hence 24 inches = 24 feet according to the scale).0.5'' on the paper represents 0.5' in real life.9'' on the paper represents 9' in real life.For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:
2'' on the paper represents 4' in real life.2' on the paper represents 48' in real life.0.5'' on the paper represents 1' in real life.9'' on the paper represents 18' in real life.More can be learned about scale measurements at https://brainly.com/question/29229124
#SPJ1
1. Calculate measures of central tendency and spread for coffee and tea.
-Create Histograms and Box-Plots for both coffee and tea, displaying the number of years in each interval of consumption in L/person.
Learn more about here:
#SPJ11
need help asap. low geometry grade
Answer:
x=9.3
Step-by-step explanation:
use SohCahToa
in this case u use cos
cos(41°)=7/x
x=7/cos(41)
x=9.275090953
x=9.3
railroad accidents a researcher wishes to study railroad accidents. he wishes to select 4 railroads from 15 class i railroads, 2 railroads from 8 class ii railroads, and 1 railroad from 7 class iii railroads. how many different possibilities are there for his study?
Different possibilities for the given case are, 267540
4 railroads chosen from 15 class I railroads
2 railroads chosen from 8 class II railroads
1 railroad chosen from 7 class III railroads
So total combinations = ¹⁵C₄ ˣ ⁸C₂ ˣ ⁷C₁
= (15!)/(4!*11!) x (8!)/(2!6!) x (7!)/(1!6!)
= 15 x 7 x 13 x 4 x 7 x 7 = 267540
To learn more about Combinations click here:
https://brainly.com/question/20211959
#SPJ4
In the Mediterranean, the Mycenaeans rose to prominence by a mix of military prowess, economic connections, and cultural sway.
Thus, Military Might: The Mycenaeans had a strong military force and were expert warriors. They used sophisticated bronze weapons and chariot warfare as a tactic.
They were able to increase their influence and take control of neighbouring territories thanks to their military might.
Control over Trade Routes: The Mycenaeans had complete control over key trade routes in the Mediterranean, particularly those that extended from the Aegean to the eastern Mediterranean and beyond.
Thus, In the Mediterranean, the Mycenaeans rose to prominence by a mix of military prowess, economic connections, and cultural sway.
Learn more about Economy, refer to the link:
https://brainly.com/question/33857387
#SPJ6
1. Which of the following represents the domain of the function?2. The graph below shows the number of coffee stores after 1992.Which of the following represents the range of the function?3.The number of people with the flu during an epidemic is a function, f, of the number of days, d, since the epidemic began. The equation f(d) = 50⋅(32)d defines f. What is f(3.5)? Does it make sense in this situation? its not any of the screenshot its a answer doc for this question 4.Given the transformations below, which of the following equations represents the transformations from the parent function f(x)=2x?5. How will the graph of the function f(x)=3x translate when the function is changed tof(x)=3x−26.Find the average rate of change of the function f(x)=3x−2 over the interval [1, 2]
The domain of a function is the set of all inputs for which the function remains valid. Since the graph shows the number of coffee stores after 1992. The domain will only makes sense for positive numbers, since a negative year doesn't make any sense. Therefore, the domain is:
\(D\colon x\ge0\)Please help and show work
Answer:
c. w=5
Step-by-step explanation:
It is c because if you replace the variable W with 5, then you would solve the eqaution 50/5 which whill give you the answer 10!
Answer:
C. w = 5
Step-by-step explanation:
Set the expression equal to 10 and solve for w.
\(\frac{50}{w}=10\)
Multiply both sides by w to get the variable out of the denominator.
\((w)\frac{50}{w}=10(w)\)
\(50=10w\)
Finally, divide 10 on both sides to solve for w.
\(\frac{50}{10}=\frac{10w}{10}\)
\(5=w\)
Tell whether it shows growth or decay and graph by using a table of values
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given exponential function
\(f(x)=0.5^x\)STEP 2: Compare with the standard exponential function to determine whether it shows growth or decay.
If a is positive and b is greater than 1 , then it is exponential growth.
If a is positive and b is less than 1 but greater than 0 , then it is exponential decay.
\(\begin{gathered} f(x)=a\cdot b^x_{} \\ \text{Comparing with }f(x)=0.5^x,\text{ it can be written as }f(x)=1\times0.5^x, \\ It\text{ can be se}en\text{ that }a=1,b=0.5 \\ \text{ Since }a\text{ is positive and b is less than 1 but greater than 0, then it is an exponential decay.} \end{gathered}\)Hence, the given function shows an exponential decay.
STEP 3: Graph the values by using a table of values
We generate a table of values first
STEP 4: Plot the graph of the data values
Answer key for solve problems involving scale drawings
The key to solving problems involving scale drawings lies in understanding the concept of scale factor and using proportional relationships to find missing measurements or determine the actual size of objects.
When working with scale drawings, it is essential to comprehend the concept of scale factor. The scale factor represents the ratio of the measurements on the drawing to the corresponding measurements in the actual object. To solve problems involving scale drawings, start by identifying the given measurements and scale factor. Then, use proportional relationships to set up ratios between the measurements on the drawing and the actual object. By setting up these ratios, you can establish an equation and solve for the unknown measurement. For example, if the drawing shows a length of 5 centimeters with a scale factor of 2:1, you can set up the equation 5/2 = x/1, where x represents the actual length. Cross-multiplying and solving for x will give you the actual length. Additionally, you can use the scale factor to determine the actual size of objects. By multiplying the measurements on the drawing by the scale factor, you can find the corresponding measurements in the actual object. Remember to convert units if necessary and pay attention to any specific instructions or information given in the problem. By applying these techniques, you can effectively solve problems involving scale drawings.
Learn more about scale drawings here:
https://brainly.com/question/30771513
#SPJ11
Plzzzzz answer ASAP help meh
Answer:
1= 8
3= 12
5= 16
7= 20
9= 24
Step-by-step explanation:
1+3=4x2=8
3+3=6x2=12
5+3=8x2=16
9+3=12x2=24
ANSWER:1=8
3=12
5=16
7=20
9=24
step -by - step explanation: 1+3=4×2=8
3+3=6×2=12
5+3=8×2=16
9+3=12×2=24
HELP ME PLEASEEEEEE
Answer:
-3
Step-by-step explanation:
The answer is -3 because it is the number on the x-axis
BRAINLIST IF CORRECT WORTH 100POINTS
Frank opens several pea pods and counts the number of peas in each pod. He records the number.
Written as a percent, what is the experimental probability that the pea pod has 9 peas in it?
Question 4 options:
12.5%
48.8%
45%
18%
Answer:
45%
Explanation:
According to the question, we can get:
\(N=1+4+18+15+2=4D\)
\(P=\frac{18}{40}\)
\(=0.45\)
\(=45\)%
Therefore, Written as a percent, the experimental probability that the pea pod has 9 peas in it is 45%
Answer:
Hi! The answer is 45%
Step-by-step explanation:
I just took the review and got the answer.
here is proof.
Hope this helps!
Brainliest please!
Please fully rate!
Have a great day!
What is the slope of the line that passes through the points (-4, 0) and (-4, --10)?
Write your answer in simplest form.
Answer:
The slope is undefined because there is no left to right movement
Find x
Geometry angles question
Answer:
5
Step-by-step explanation:
When the angles are vertical you set up your equation to 180
3x-35+130=180 and solve
HELP!! Angle Proofs- Geometry!
sas, sss, aas, or not enough information
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
The two sides of the triangles stated above are equal to one another and the one side in common between them, so the Correct criteria to prove them congruent is :
SSSThe day has come! It is time for you to buy your first car. At the car lot, you find the very car you have always wanted and it costs $4,100 after all taxes and fees. Since you have very little credit history, you have a poor credit score. But good news—you are still able to get a car loan! What will the loan balance be after 3 months if the interest is compounded monthly and you pay $88.13 each month?
The loan balance after 3 months if the interest is compounded monthly and payments are $88.13 each month is $3996.48
Given that a car is purchased for $4100 and it is paid through a loan, and the amount of monthly payments and interest rate are provided.
We have to determine the loan balance after 3 months if the interest is compounded monthly and payments are $88.13 each month.
Let's first find the interest rate: If R is the annual interest rate, then the monthly interest rate r is given as: r = R/12%So, r = 5.6%/12, which is equal to 0.46667% monthly. Next, let's determine the loan balance after 1 month:
Since the interest is compounded monthly, the balance after one month is given as: Balance after 1st payment = $4100 × (1 + 0.0046667) - 88.13
Balance after 1st payment = $4065.67
Now let's determine the loan balance after 2 months:
Balance after 2nd payment = $4065.67 × (1 + 0.0046667) - 88.13
Balance after 2nd payment = $4030.97
Finally, let's determine the loan balance after 3 months:
Balance after 3rd payment = $4030.97 × (1 + 0.0046667) - 88.13Balance after 3rd payment = $3996.48
To know more about loan balance visit:
https://brainly.com/question/14453054
#SPJ11
Find the measures of the numbered angles in the rhombus.
there is four angles I need someone plz help
keeping in mind that in a rhombus the diagonals always meet at right-angles, Check the picture below.
there are $7$ dots on a circle. what is the maximal number of intersection points outside the circle created by connecting these points with lines?
The maximal number of intersection points outside the circle that can be created by connecting the 7 dots on the circle with lines is 21.
To calculate this, we use the formula for the maximum number of intersection points formed by connecting n points with lines:
Max intersection points = n * (n - 1) / 2
In this case, n = 7, as there are 7 dots on the circle. Plugging in this value into the formula:
Max intersection points = 7 * (7 - 1) / 2
Max intersection points = 7 * 6 / 2
Max intersection points = 42 / 2
Max intersection points = 21
Therefore, the maximal number of intersection points outside the circle formed by connecting the 7 dots on the circle with lines is 21.
To learn more about circle here:
https://brainly.com/question/29130134
#SPJ4
F
00
Which mapping does not represent a function?
5
10
15.
20-
5-
10:
15
20
5-
10-
15
20-
5.
101
15
20
25
30
35
40
25
30
35
40
25
30
35
40
25
30
35
40
The relation can be a function is discussed below.
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range.
Given:
We Know that in a function a input have only one output.
There no input value whose have the two distinct output at a same time.
We have attached question is not understood.
let us take example
Is A = {(1, 5), (1, 5), (3, -8), (3, -8), (3, -8)} a function?
We write the above data in table format then
x y
1 5
1 5
3 -8
3 -8
3 -8
Here we have input value 1 have two outputs but same value 5.
Thus, the Given relation A is a function
Learn more about Function here:
https://brainly.com/question/7568060
#SPJ9
Find the volume of this cone.
To start calculating the volume of the cone, we obtain the following data:
r = 4 cmh = 9 cmπ = 3To calculate the volume of a cone, we apply the following formula:
\(\boldsymbol{\sf{V=\dfrac{\pi r^{2}h }{3} }}\), where
V = volumeh = heightr = radiusπ = piWe solve, substituting our data in the formula:
\(\boldsymbol{\sf{V=\dfrac{3*(4 \ cm)^{2}*9 \ cm }{3} }}\)taking the square root
\(\boldsymbol{\sf{V=\dfrac{3 *16 \ cm^{2}*9 \ cm }{3} }}\)Multiplying
\(\boldsymbol{\sf{V=\dfrac{432 \ cm^{3} }{3} }}\)Dividing
\(\boxed{\boldsymbol{\sf{V=144 \ cm^{3} }}}\)Therefore the volume of the cone is 144 cm³.
\(\huge\text{Hey there!}\)
\(\huge\textbf{What is the formula for finding the}\\\\\huge\textbf{the volume of a cone?}\)
\(\large\boxed{\mathsf{\dfrac{\pi \times r^2\times h}{3} = volume}}\)
\(\bullet\large\textsf{ Whereas, \boxed{r} is your \underline{radius}, \boxed{h} is your \underline{height}, \& \boxed{\pi} is your pi.}\)
\(\bullet\large\textsf{The pi }\boxed{(\pi)}\large\textsf{ is approximately equal to 3.14.}\)
\(\huge\textbf{What are the labels in your equation?}\)
\(\star\ \large\boxed{{Radius}}\rightarrow \textsf{\underline{4\ centimeters}}}}}\)
\(\star\ \large\boxed{{Height}}\rightarrow \textsf{\underline{9\ centimeters}}}}}\)
\(\star\ \large\boxed{{\pi}}\rightarrow \textsf{\underline{3}}}}}\)
\(\huge\textbf{What does should the equation look}\\\\\huge\textbf{like?}\)
\(\large\boxed{\mathsf{\dfrac{3 \times 4^2 \times9}{3}}}\)
\(\huge\textbf{What are the steps to solve for the}\\\\\huge\textbf{question to get the result?}\)
\(\large\boxed{\mathsf{\dfrac{3 \times 4^2 \times9}{3}}}\)
\(\large\boxed{\mathsf{= \dfrac{3\times4\times4\times9}{3}}}\)
\(\large\boxed{= \mathsf{\dfrac{3\times16\times9}{3}}}\)
\(\large\boxed{\mathsf{= \dfrac{48\times9}{9}}}\)
\(\large\boxed{\mathsf{= \dfrac{432}{3}}}\)
\(\large\boxed{\mathsf{= \dfrac{432 \div 3}{3\div3}}}\)
\(\large\boxed{= \mathsf{\dfrac{144}{1}}}\)
\(\large\boxed{\mathsf{= 144\div1}}\)
\(\large\boxed{= \textsf{144}}\)
\(\huge\textbf{What is the result to this question?}\)
\(\huge\boxed{\frak{144\ cm^3}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)