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[tex]f(x) = - 3 {x}^{4} - 2 {x}^{3} + 3 {x}^{2} [/tex]
[tex]g(x) = 3 {x}^{4} - 4 {x}^{3} + {x}^{2} [/tex]
[tex]f(x) + g(x) = - 3 {x}^{4} - 2 {x}^{3} + 3 {x}^{2} + 3 {x}^{4} - 4 {x}^{3} + {x}^{2} \\ [/tex]
[tex]f(x) + g(x) = - 3 {x}^{4} + 3 {x}^{4} - 2 {x}^{3} - 4 {x}^{3} + 3 {x}^{2} + {x}^{2} \\ [/tex]
[tex]f(x) + g(x) = - 6 {x}^{3} + 4 {x}^{2} \\ [/tex]
Done....
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
_
1-+\|13
x= -------- or x1= - + 0.434259, x2=0
6
Step-by-step explanation:
1. collect terms
2. factor the expression
3. divide both sides
4. separate into possible cases
5. solve the equation
6.Equation has 3 solution
a spinner is split into eight wedges numbered 0-7
Answer:
The last one is 8
Step-by-step explanation:
I'm unsure of the question.
8v=2(4v+2) show your work
Answer:
NO SOLUTION
Step-by-step explanation:
8v=8v+4
8v-8v=4
0=4
Therefore, NO SOLUTION
HELP ME ASAP!!!!!!!!!!!! 30 POINT REWARD!!!!!!!!!!!!!!!!!!!!!!!PLEASE EXPLAIN AND SOLVE!!!!!The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank account:
X g(x)
0 $600
3 $720
6 $840
Part A: Find and intepret the slope of the function
Part B: Write the equation in point slope, slope intercept form, and standard form
Part C: Write the equation of the line using function notation
Part D: What is the balance of the bank account after 7 days?
Part A:
The y-intercept is $1,500
The x-intercept is 20 days
Part B:
Equation of the line in point-slope form is y - 1350 = -75×(x - 2)
Equation of the line in slope-intercept form is y = -75·x + 1500
Equation of the line in standard form is y + 75·x = 1500
Part C:
f(x) = -75·x + 1500
Part D:
$1,125
Step-by-step explanation:
The information given are;
x, g(x)
0, $1,500
2, $1,350
4, $1,200
The equation of a straight line relation between the x, and y, coordinates in slope and intercept form is y = m·x + c
Where;
m = The slope
c = The y-intercept
From the data, we have two points, (x₁, y₁), (x₂, y₂) given as (0, 1,500), (2, 1350);
The y-intercept = y at x = 0 = 1,500
y = -75·x + 1500
x = 1500/75 = 20
Part B:
The equation in point-slope form is y - y₁ = m×(x - x₁)
Which gives;
Equation of the line in point-slope form is y - 1350 = -75×(x - 2)
Equation of the line in slope-intercept form is y = -75·x + 1500
Equation of the line in standard form is y + 75·x = 1500
Part C:
The equation of the line using function notation is f(x) = -75·x + 1500
Part D:
The balance in the bank after 5 days is f(5) = -75 × 5 + 1500 = $1,125
Pleas help me!!!!!!!!!!!!!!!!!!!
Answer:
for 14).....ans: 0.01
Step-by-step explanation:
convert to a fraction,then convert to a decimal by dividing the numerator by the denominator.
hope this was useful!
what is the gcf of x5 and x7
Answer:
Step-by-step explanation:
the gcf of that is X
Maple tree diameters in a forest area are normally distributed with mean 10 inches and standard deviation 2.2 inches. Find the proportion of trees having a diameter less than 9 inches.
Answer:
0.32472
Step-by-step explanation:
Maple tree diameters in a forest area are normally distributed with mean 10 inches and standard deviation 2.2 inches. Find the proportion of trees having a diameter less than 9 inches.
The formula for calculating a z-score is z = (x-μ)/σ
where x is the raw score
μ is the population mean
σ is the population standard deviation
z = (9 - 10)/2.2
z = -1/2.2
= -0.45455
Probability value from Z-Table:
P(x ≤ 9) = P(x < 9)
= 0.32472
Therefore, the proportion of trees having a diameter less than 9 inches is
0.32472
The proportion of trees having a diameter less than 9 inches is 32.64%
z score is used to determine by how many standard deviations the raw score is above or below the mean.
It is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x\ is\ raw\ score.\mu\ is\ mean,\sigma\ is \ standard \ deviation[/tex]
Given that μ = 10, σ = 2.2, hence:
[tex]For\ x<9:\\\\z=\frac{9-10}{2.2} =-0.45[/tex]
From the normal distribution table, P(x < 9) = P(z < -0.45) = 0.3264 = 32.64%
The proportion of trees having a diameter less than 9 inches is 32.64%
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What is 12 plus 364 divided by 2/7?
Answer:1316
Step-by-step explanation:
Answer:
thanks
Step-by-step explanation:
I want explaintationwhat is 5945 divided by 612
The quotient we get when 5945 is divided by 612 is 9.7140.
When a number is divided by any other number ,the result is called quotient or we can define quotient as how many times a number divides a certain number.
The quotient we get in division either may be a real whole number or in the form of decimals.
Factors - A number which divides a number completely without leaving any remainder is called factor of that number, Or we can say when a dividend is divided by divisor and if the remainder we get is zero than the divisor ids a factor of that dividend.
When we divide 5945 by 612 we get remainder as 333 .Using division algorithm we can extend the number using zeroes after decimals which results to get 9.7140 as a quotient.
Using the result we can conclude that 612 is not a factor of 5945.
When 5945 is divided by 612 the result is 9.7140.
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Two companies offer online gaming subscriptions. Company A charges $75 upfront and then $20 a month. Company B does not charge an upfront fee but charges $35 a month. After how many months will the two companies charge the same amount?
Answer:
After 5 months each company will charge the same amount
Step-by-step explanation:
Math Modeling
The situation raised in the question can be modeled as follows.
Company A charges $75 upfront (flat or fixed fee) plus $20 a month. Being x the number of months of subscription, the total charge Ca is:
Ca = 75 + 20x
Company B charges no upfront fees, and $35 a month. We model its charges Cb as:
Cb = 35x
We want to know the number of months needed to make both companies charge the same amount. We'll do that by equating Ca=Cb:
75 + 20x = 35x
Subtracting 20x:
75 = 35x - 20x
Swapping and simplifying:
15x = 75
Solving:
x=75 / 15
x=5
After 5 months each company will charge the same amount
Divide. Reduce the awnser to lowest terms 5 2/3 divided by 3 1/9
Answer:
1 23/28
Step-by-step explanation:
turn both of your numbers into fractions: 17/3 and 28/9
to turn you equation into something that you can simplify, flip one of your fractions and that will turn the division sign into a multiplication sign:
17/3 x 9/28
you can simplify this by simplifying 9 to 3 and 3 to 1.
this means you now have 17 x 3/28
multiply 17 and 3 together since they are the numerators, you should get 51/28
now turn this into a mixed fraction: 1 23/28
An alligatoris 8 inches long at birth and grous 6 inches per year. Wirite an equation that represents the lengthy needs of an alligator that is years old
How long will the alligator be aher 5 years?
Answer:
6x+8
Step-by-step explanation:
38 inches. We write an equation for how much it grows each year, plus the original 8 inches. So, 6(5)+8=38
Consider the price of a baseball card is $7, and its value increases by 12% each year. What is the value of a?
Answer:7.84
Step-by-step explanation:
Solve for 8. 0.5s +1 = 7 + 4.5s
Answer:
s=-1.5
Step-by-step explanation:
We need to isolate the variable.
1. Subtract 4.5s from both sides
2. We now have the equation -4s+1=7
3. Subtract 1 from both sides
4. -4s=6
5. Divide both sides by -4
6. The answer would be s=-1.5
A new dining room is being built in Carol’s home. In a scale drawing of the room, 1 inch represents LaTeX: 2\frac{1}{2}212feet. A sketch of the drawing is shown
Answer/Step-by-step explanation:
Area of the dinning room table:
Given that scale of the sketch is 1 in = 2½ ft
Length of the dinning room table on the sketch = 2 in
Actual length of dinning room table = 2 × 2½ = 5 ft
Width of the dinning room table on the sketch = 1 in
Actual width of dinning room table = 1 × 2½ = 2.5 ft
Area of dinning room table = length × width = 5 × 2.5 = 12.5 ft²
Area of the dinning room:
Given that scale of the sketch is 1 in = 2½ ft
Length of the dinning room on the sketch = 7⅕ in
Actual length of dinning room = 7⅕ × 2½ = 18 ft
Width of the dinning room on the sketch = 4⅘ in
Actual width of dinning room = 4⅘ × 2½ = 12 ft
Area of dinning room = length × width = 18 × 12 = 216 ft²
Area of the dinning room not covered by the table = area of the dinning room - area of the dinning room table
= 216 - 12.5 = 203.5 ft²
Find the exact value of s in the given interval that has the given circular function value.
[pi/2, pi] ; sin s = square root 2 / 2
Answer:
[tex]\displaystyle s=\frac{3\pi}{4}[/tex]
Step-by-step explanation:
Trigonometric Values
We need to find the angle s in the interval [π/2,π] where:
[tex]\displaystyle \sin s=\frac{\sqrt{2}}{2}[/tex]
There are two possible angles that have the same sine value in the first rotation of s. Any angle on the first quadrant has the same sine as its supplementary angle in the second quadrant.
The first angle s whose sine is [tex]\frac{\sqrt{2}}{2}[/tex] is:
[tex]\displaystyle s=\frac{\pi }{4}[/tex]
The other angle is its supplementary angle:
[tex]\displaystyle s=\pi-\frac{\pi }{4}=\frac{3\pi}{4}[/tex]
Only this last angle lies on the required interval, thus:
[tex]\boxed{\displaystyle s=\frac{3\pi}{4}}[/tex]
Which expression is equal to 2rad-28
Solve the equation: |2x + 5| = 11.
Answer:
x = -8 and x = 3
Step-by-step explanation:
Split the equation into 2 possible cases:
2x + 5 = 11
2x + 5 = -11
Then, solve these 2 equations.
2x + 5 = 11
2x = 6
x = 3
2x + 5 = -11
2x = -16
x = -8
So, the 2 solutions are x = -8 and x = 3
Find the product of 7 and 4.76.
Answer:
33.32
Explantion: 7x4.76
In an effort to make children’s toys safer and more tamperproof, toy packaging has become cumbersome for parents to remove in many cases. Accordingly, the director of marketing at Toys4Tots, a large toy manufacturer, wants to evaluate the effectiveness of a new packaging design that engineers claim will reduce customer complaints by more than 10 percentage points. Customer satisfaction surveys were sent to 220 parents who registered toys packaged under the old design and 220 parents who registered toys packaged under the new design. Of these, 86 parents expressed dissatisfaction with packaging of the old design, and 41 parents expressed dissatisfaction with packaging of the new design.
Let p1 represent the population proportion of parents that expressed dissatisfaction with the packaging of the old design and p2 represent the population proportion of parents that expressed dissatisfaction with the packaging of the new design.
A. Specify the null and alternative hypotheses to test for whether the proportion of customer complaints has decreased by more than 5% under the new packaging design.
1. H0 : p1 - p2 < 0.10; HA : p1 - p2 > 0.10
2. H0 : p1 - p2 = 0.10; HA : p1 - p2 is not equal to 0.10
3. H0 : p1 - p2 > 0.10; HA : p1 - p2 < 0.10
B. What is the value of the test statistic and the associated p-value?
C. At the 1% significance level, do the results support the engineers' claim?
D. At the 10% significance level, do the results support the engineers' claim?
Answer:
Explained below.
Step-by-step explanation:
(a)
In this case we need to determine if the proportion of customer complaints has decreased by more than 10% under the new packaging design.
The hypothesis can be defined as follows:
H₀: The proportion of customer complaints has not decreased by more than 10% under the new packaging design, i.e. p₁ - p₂ ≤ 0.10.
Hₐ: The proportion of customer complaints has decreased by more than 10% under the new packaging design, i.e. p₁ - p₂ > 0.10.
(b)
The information provided is:
n₁ = 220
n₂ = 220
X₁ = 86
X₂ = 41
Compute the sample proportions and total proportions as follows:
[tex]\hat p_{1}=\frac{X_{1}}{n_{1}}=\frac{86}{220}=0.3909\\\\\hat p_{2}=\frac{X_{2}}{n_{2}}=\frac{41}{220}=0.1864\\\\\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{86+41}{220+220}=0.2886[/tex]
Compute the test statistic value as follows:
[tex]z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)[\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}[/tex]
[tex]=\frac{0.3909-0.1864}{\sqrt{0.2886(1-0.2886)\times[\frac{1}{220}+\frac{1}{220}]}}\\\\=\frac{0.2045}{\sqrt{0.0018665}}\\\\=4.733524\\\\\approx 4.73[/tex]
The test statistic value is 4.73.
Compute the p-value as follows:
[tex]p-value=P(Z>4.73)[/tex]
[tex]=1-P(Z<4.73)\\=1-(\approx 1)\\=0[/tex]
The p-value of the test is 0.
(c)
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
p-value = 0 < α = 0.01.
The null hypothesis will be rejected at 1%significance level.
Thus, there is enough evidence at 1% significance level to support the engineers' claim.
(d)
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
p-value = 0 < α = 0.10.
The null hypothesis will be rejected at 10%significance level.
Thus, there is enough evidence at 10% significance level to support the engineers' claim.
Order these numbers from least to greatest.
Answer:
Step-by-step explanation:
4,2,1,3
Which kind of line ( solid or dashed) is used for < or > ?
I think it has to do with inequalities but not sure
QUESTION #2 unless you know how to a different one
Answer:
dashed lines are used for both < and >, solid lines are used for >= or <=
Step-by-step explanation:
HELP ASAP !!!! WILL MARK BRANLIEST !
A group of students is investigating whether wheels affect the force of friction. The students push two boxes each with the same force on a table. One box has wheels and the other does not have wheels. The distance traveled by each box is shown.
Experimental Observations
Student 1 Student 2 Student 3 Student 4
Distance traveled by box with wheels 24 cm 22 cm 20 cm 23 cm
Distance traveled by box without wheels 12 cm 14 cm 15 cm 13 cm
Which step should the students take next?
Make a hypothesis
Test another variable
Analyze the results
Share their conclusion
Answer: Yes wheels affect the force, with wheels it moves longer and faster without wheels it doesn't move as much and doesn't go fast.
So they should; Share their conclusion
Step-by-step explanation: This really ez
answer for brainliest ! <3
Answer:
1: p=(2,4) q=(1,1) r=(5,2)
2 I am so sorry. the changing in the shape is not any transformation I've heard of before.
3:90 degree rotation (Counterclockwise.)
4: 180 degree rotation (doesn't matter which way.)
5: 90 degree rotation (clockwise)
6: Up 9 units, over 2 units to the right.
Hope this helps!!
I will mark u as brainlest if you help me lots of points the one I choose was probably not right it was just right there
Answer:
2/5
Step-by-step explanation:
Why? Because probability is just possible values over total values, there is 4 red sections and 10 total sections, so the probability is 4/10 = 2/5.
Answer:
[tex]the \: poberbility \:is = \: \frac{number \: of \: red}{total \: number \: of \: color} = \frac{4}{10} = \frac{2}{5} [/tex]
Which expression uses the associative property to make it easier to evaluate
8(1/4 x 3/5)?
A. (8 x 5/3) 1/4
B. 4(1/8 x 3/5)
C. 8(3/5 x 1/4)
D. (8 x 1/4)3/4
Answer: D
Step-by-step explanation:
Using associative property, [tex]8(\frac{1}{4}*\frac{3}{5}) \\[/tex] can be evaluated as 6/5 = 1.2.
What is associative property?The associative property states that the sum or the product of three or more numbers does not change if they are grouped in a different way.
(A × B) × C = A × (B × C).
[tex]=8(\frac{1}{4}*\frac{3}{5}) \\\\=(8*\frac{1}{4}) *\frac{3}{5}\\ \\ = 2* \frac{3}{5} = \frac{6}{5} = 1.2[/tex]
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PLEASE HELP!!! Mates spent $15.00 on protein bars and sports drinks. each bar cost $3.00 and each sports drink cost $1.50. which equation represents the number of protein bars, p, and the number of sports drinks, s, Matea could have bought
Answer:
15=3s+1.5p
Step-by-step explanation:
can i please get brainliest?
Answer:
15=3s+1.5p
Step-by-step explanation:
15(total money spent)
3s s=amount of bars
1.5p p= amount of sports drinks
Emily bought 2 kilograms of rice for $6.25.
Select True or False for each statement.
O True
O False
The product (25) will give the unit price of one kilogram of rice.
0 True
O False
Emily paid less than $1.50 per kilogram of rice.
O True
O False
If Emily has $1.00 to spend on rice, she can get io of a kilogram of rice.
#CarryOnLearning
Answer:
1.) False
The product [tex]\bold{\frac{5}{2}}[/tex]([tex]\bold{\frac{4}{25}}[/tex]) will give the unit price of one kilogram of rice.
2.) False
Emily paid less than $1.50 per kilogram of rice.
3.) True
If Emily has $1.00 \:to\: spend\: on\: rice, she\: can\: get [tex]\frac{4}{10}[/tex]$ of a kilogram of rice.
#CarryOnLearning
5. Solve for x using the model below* Enter your answer as a number
Answer:
Step-by-step explanation:
Each triangle = - x
There are 4 of them
They equal -4x
The circles all = 1
There are 3 circles on the left
They equal 3*1 = 3
There are eleven circles on the right.
-4x + 3 = 11 Subtract 3
-4x/-4 = 8 Divide by - 4
x = 8/-4
x = -2
Rick has 3 bills and 4 coins in his wallet.the coins and bills total $12.35.Rick has no half-dollars.what coins and bills does Tick have?
I messed up sorry I gave you the wrong answer just ignore this
Which figure represents an undefined term?
A line extends right and up from point X through point Y with an arrow instead of an endpoint.
A line connects point X and point Y.
A line extends right and up from point X through point Y with an arrow instead of an endpoint. A line extends right and down from point X through point W with an arrow instead of an endpoint.
A line extends both directs between point X and point Y.
The undefined term should be considered when A line extends both directs between point X and point Y.
What is an undefined term?In terms of geometry, the undefined term should represent the main object where the rest of the objects should be considered as the line, point, and the plane.
So when there is the line extension that lies between point x and point Y so it should be an undefined term.
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Answer:
Option D
Step-by-step explanation:
yes