g(x) = 3x^2-2x+1
Find g(-2)
Answers
Answer: g(-2) = 17
Step-by-step explanation:
When finding g(-2), we will substitute all values of x for -2 in the function. First, we will substitute values in. Then, we will simplify by squaring, multiplying, and adding.
g(x) = 3x² -2x + 1
g(-2) = 3(-2)² -2(-2) + 1
g(-2) = 3(4) + 4 + 1
g(-2) = 12 + 4 + 1
g(-2) = 17
explanations is in the picture :)
Related Questions
PLEASE HURRY AND HELP. PLEASE AND THANK YOU
Answers
Answer:
Step-by-step explanation:
For each one you would take the Q1 and the Q3 value of the box and whisker plot and subtract them
Q3 - Q1 = IQR(interquartile range)
45 - 20 = 25
40 - 10 = 30
10 - 6 = 4
20 - 8 = 12
54. The cone in the diagram has radius x cm and height 2x cm. The volume of the cone is 500 cm³. Find the value of x.
Answers
Value of x is 6.2 cm when x is the radius of cone.
What is Volume of cone?
The amount of space occupied by a cone is referred to as the volume of a cone. The volume of the cone depends on the base radius of the cone and the height of the cone. It can also be expressed in terms of its slant height wherever necessary.
Volume of cone formula, V= 1/3*[tex]\pi[/tex]*r∧2*h
given,
Height h= 2x
radius = x
Volume V= 500cm3
V= 1/3*[tex]\pi[/tex]*r∧2*h
500 = 1/3 *22/7*x2*2x
x∧3 = 5*3*5*5*2*2*7/11*4
x∧3 = 5*3*5*5*7/11
x = ∛(5*3*5*5*7/11)
x = 5(∛21/11)
x = 6.2 cm
Therefore, the radius of the cone x is 6.2 cm
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Find a translation that has the same effect as the composition of translation.
(x,y)-> (x+8,y+4) followed by
(x,y)-> (x-7,y+8)
Answers
Answer:
you need to show the options at the bottoma
Step-by-step explanation en:
What is the value of 6×10 to the 15th power divided by 4×10 to the 12th power
Answers
Step-by-step explanation:
Click photo to look ans
MARK MEEEE AS A BRAIN LIST
Answer quick I will mark brainlist
Answers
Answer:
Step-by-step explanation:
The Red circles have a probability of 1/2 of getting chosen, The red and blue circles together have an 100% chance of getting chosen because they are the total of circles. Np
Help please, I need this done for extra credit
Answers
The value of 'x' in the given equation - 8 = - (x + 4) is 4.
What are equations?In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equivalent. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are 2 different expressions separated by a 'equal' sign.So, value of 'x' in - 8 = - (x + 4):
- 8 = - (x + 4)- 8 = - x - 4- 8 + 4 = -x-4 = -xSo, x = 4Therefore, the value of 'x' in the given equation - 8 = - (x + 4) is 4.
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The complete question is given below:
Find the value of x in the equation - 8 = - (x + 4).
HELP WITH ALLL PLEASE LABEL THE NUMBERS :))
Answers
Answer:
18. in imge
19. is D
20. 10/3 (just divided by 5)
21. 8/7 bc negtive reciprocal
22. (0,8) y-int
Step-by-step explanation:
At 6 AM, the temperature in New Crampton, California was 64℉. By 4 PM, the temperature had risen to 76℉. What was the change in temperature over the 10-hour period?
Answers
The change in temperature over the 10 hours using a mathematical operation, is 12℉.
What is a mathematical operation?A mathematical operation uses input values (variables, numbers, mathematical operators, and operands) to determine an output value.
Some of the mathematical operators include addition, subtraction, division, and multiplication.
For instance, we can subtract the temperature in New Crampton at 6 A.M. from the temperature at 4 P.M. to determine the temperature change.
Data and Calculations:The temperature at 6 A.M. in New Crampton = 64℉
The temperature at 4 P.M in the same city = 76℉
Change in temperature over 10 hours = 12℉ (76℉ - 64℉)
Thus, the change in temperature over the 10 hours using a mathematical operation, is 12℉.
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1. For infant girls, the mean body length at 10 months is 72 centimeters with a standard deviation of 3 centimeters. The 75th percentile for a 10 month-old girl is ____ centimeters? (Round to one decimal place)
Answers
Using the normal distribution, the 75th percentile for a 10 month-old girl is 74 centimeters.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 72, \sigma = 3[/tex]
The 75th percentile is X when Z = 0.675, hence:
0.675 = (X - 72)/3
X - 72 = 3 x 0.675
X = 74.
The 75th percentile for a 10 month-old girl is 74 centimeters.
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Evaluate. Write your answer in fraction simple form.
(1/9)^2
Answers
To calculate a fraction, it is almost the same as calculating a number normal to the power. The numerator and denominator of the fraction are multiplied as many times as possible indicated by its exponent, then:
[tex]\boldsymbol{\sf{\left(\dfrac{1}{9}\right)^{2}=\dfrac{1\times1}{9\times9}=\cfrac{1}{81} }}[/tex]
Therefore the fraction 1/81 is already in reduced form, so it is no longer possible to simplify it.
Across
Down
1. animal that eats only plants
2. warm-blooded animals with hair or fur
3. animal that is hunted and eaten
4. animals who hunt other animals
5. back teeth
8. sharp. curved nails on an animal's foot 6. animal that eats meat and plants
9. animal that eats only meat
7. front teeth
Answers
Answer:
1. Herbivores
2. Mammals
3. Prey
4. Predators
5. Molars
6. Omnivores
8. Claws
9. Carnivores
Complete the process of solving the equation.
Fill in all the missing terms and select all missing descriptions.
4(-3d+14) = -17d + 16
-12d +56 = -17d + 16
+56 = 16
5d = -40
d=
Add 17d to both sides
Divide both sides by 5
Answers
Answer:
d = -8
Step-by-step explanation:
4(-3d+14) = -17d + 16
-12d + 56 = -17d + 16
+17d +17d
5d + 56 = 16
-56 -56
5d = -40
÷5 ÷5
d= -8
I hope this helps!
help like now and immediate
Answers
Answer: x=30
Step-by-step explanation:
6x-5+z-25=180
7x+210
x=30
What is 2,443,802,280 rounded to the nearest ten million
Answers
Answer:2,440,000,000
Step-by-step explanation:
Step by step
See attachment too
2,443,802,280
The “4” next to the “3” is the ten million place and is the key number that needs to round up or stay the same, depending on what we do with the 3.
The rule for rounding is if a number is 5 or bigger, the number next to it goes up. If the number is 4 or smaller, the number does not round up.
Use the given minimum and maximum data entries, and the number of classes, to find the class width, the lower class limits, and the upper class limits. minimum equals 13, maximum equals 94, 6 classes
Answers
The minimum and maximum data entries is the to arrive at the values as follows:
The class width is solved to be 13lower class limits = 13, 26, 39, 52, 65, 78, 91upper class limits = 25, 38, 51, 64, 77, 90, 94How to find the class width, the lower class limits, and the upper class limitsGiven data
minimum equals 13, maximum equals 94, 6 classes
The class width
= ( maximum - minimum ) / 6
= ( 94 - 13 ) / 6
= 13.5
The class width is solved to be 13
Lower class limit
From the lowest 13,repeated addition of the class width gives the lower class limits as follows:
lower class limits = 13, 26, 39, 52, 65, 78, 91
Upper class limits
The upper class limit is gotten from the lower class limit by reducing one from the class width to get 13 - 1 = 12. This value is added to the lower class limits to get the upper class limits.
upper class limits = 25, 38, 51, 64, 77, 90, 94
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Jana baked some muffins. After she served 13 of them to her friends for brunch, she had 17 left. How many muffins did she bake?
Answers
Answer:
30
Step-by-step explanation:
Add 13 served to 17 left over to get how many muffins she originally baked.
Answer:
30
Step-by-step explanation:
served muffins=13
left muffins=17
13+17=30
*HELP*
Henrich is a single taxpayer. In 2021, his taxable income is $455,000. What is his income tax and net investment income tax liability in each of the following alternative scenarios? Use Tax Rate Schedule, Dividends and Capital Gains Tax Rates for reference. (Do not round intermediate calculations. Leave no answer blank. Enter zero if applicable. Round your final answers to 2 decimal places.)
a. All of his income is salary from his employer.
Income tax _______
Net investment income tax ______
Total tax liability __________
b. His $455,000 of taxable income includes $2,000 of long-term capital gain that is taxed at preferential rates.
Income tax _______
Net investment income tax ______
Total tax liability __________
c. His $455,000 of taxable income includes $49,000 of long-term capital gain that is taxed at preferential rates.
Income tax _______
Net investment income tax ______
Total tax liability __________
d. Henrich has $197,500 of taxable income, which includes $51,000 of long-term capital gain that is taxed at preferential rates. Assume his modified AGI is $210,000.
Income tax _______
Net investment income tax ______
Total tax liability __________
Answers
The Investment Income, if any (g) $380 and The Net Income tax payable is $41,516.75
How to find the Total Income tax?A. The Taxable Income (a) $425,000
The Prefrentially taxed income (b) $0
The Income taxed at ordinary rates ( c) $425,000
The Tax on c above (d)
$124,469.95 = $120,529.75 + [($425,000 - $415,050) x 39.6%]
The Tax on b above ( e) is $0
Thus, the Total Income tax (f) is $124,469.95 (d + e)
The Investment Income, if any is $0 No Investment Income
The Net Income tax payable is $124,469.95
B. The Taxable Income (a) $425,000
The Prefrentially taxed income (b) $2,000
The Income taxed at ordinary rates ( c) $423,000
The Tax on c above (d);
$123,677.95 = $120,529.75 + [($423,000 - $415,050) x 39.6%]
The Tax on b above ( e) ;
$400 = $2,000 x 20%, Since marginal rate is 39.6%
The Total Income tax (f) $124,077.95 (d + e)
The Investment Income, if any (g) $76
($2,000 x 3.8% = $76)
The Net Income tax payable is $124,153.95 (f + g)
C. The Taxable Income (a) $425,000
The Prefrentially taxed income (b) $55,000
The Income taxed at ordinary rates ( c) $370,000
The Tax on c above (d);
$105,629.25 = $46,278.75 + [($370,000 - $190,150) x 33%]
The Tax on b above ( e);
$8,747.50 [($45,050 x 15%) + ($9,950 x 20%)]
The Total Income tax (f) $114,376.75 (d + e)
The Investment Income, if any (g) $2,090
($55,000 x 3.8% = $2,090)
The Net Income tax payable $116,466.75 (f + g)
D. The Taxable Income (a) $195,000
The Prefrentially taxed income (b) $50,000
The Income taxed at ordinary rates is ( c) $145,000
The Tax on c above (d);
$33,636.75 = $18,558.75 + [($145,000 - $91,150) x 28%]
The Tax on b above ( e);
$7,500.00 = $50,000 x 15%
The Total Income tax (f) is $41,136.75 (d + e)
The Investment Income, if any (g) $380
The Net Income tax payable is $41,516.75 (f + g)
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HELP PLEASE ASAP
i suck at math please help me
Answers
Answer:
2
Step-by-step explanation:
look at where x = 1 on the graph and see that there is a point at (1,2)
Fractions and mixed numbers
Answers
What was the overall percent increase in the stadium capacity between 1920 and 2000
Answers
The overall percent increase in the stadium capacity between 1920 and 2000 considering the capacity was "x" in 1920 and "y" in 2000 is [tex][\frac{(y-x)}{x}*100][/tex].
As per the question statement, we are required to calculate the overall percent increase in the stadium capacity between the time period of 1920 and 2000. But no data about the stadium capacity is mentioned in the question statement. Hence, we will assume the capacity was "x" in 1920 and "y" in 2000. Assigning two variables to solve the question produces a generalized form of our required answer, in which, we can substitute any data to get the desired output.
Since Percentage change is calculated as
[{(Change from original)/(Original Value)}*100],
Our change in seating capacity of the stadium in 2000 from the year 1920 is [tex](y-x)[/tex] and original value being "x",
Overall percent increase in the stadium capacity between 1920 and 2000 is [tex][\frac{(y-x)}{x}*100][/tex].
Percent Increase: It is a measure of the difference (Increment) between the final value and the initial value, expressed in the form of a percentage.To learn more about Percent Increase, click on the link below.
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Factor 2x^4-20x² - 78.
Answers
Six more than the product of a number and 4 is equal to 7. Use the variable b for the unknown number
Answers
The value of the unknown number b is 1/4.
What is substitution ?Substitution is putting a specific value in a given variable.
According to the given question Six more than the product of a number and 4 is equal to 7 and we have to use b for the unknown number.
7 is 6 more than the product of 4 and b which can be numerically expressed as
7 = 6 + 4b...(i)
7 - 6 = 4b.
1 = 4b.
b = 1/4.
To check if it is correct or not we will substitute the numerical value of b.
in eqn (i).
7 = 6 + 4b
7 = 6 + 4×1/4
7 = 6 + 1
7 = 7.
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Give an example of a real-life situation where it might make sense to round a number and a different situation where it probably does not make sense to round a number.
Answers
Answer:
when dealing with money
(69 1/3)-(45 14/15)=
Answers
Answer:
-19
Step-by-step explanation:
1/3 of 69=23
14/15 of 45=42
23-42=-19
Answer:
23 2/5
Step-by-step explanation:
69 1/3 - 45 14/15
= (69 - 45) + (1/3 - 14/15)
= 24 + 1 x 5/3 x 5 - 14/15
= 24 + 5/15 - 14/15
= 24 + 5 - 14/15
= 24 + -9/15
= 24 + -9 ÷ 3/15 ÷ 3
= 24 + -3/5
= 23 2/5
Real-World Application
Answers
al-World Application0231651561065
Maria uses 2/3 cup of powdered mix for every 2 gallons of water. Franco uses 1 1/4 cups of powdered mix for every 5 gallons of water. What is the strength of each sports drink?
Answers
The strength ratio of each sports drink is 4:3.
What is ratio ?Ratio can be defined as comparison of two or more similar quantities.
According to the given question Maria uses 2/3 cup of powdered mix for every 2 gallons of water.
Therefore the no. of cups of powdered mix per gallon in Maria's sports drink is
= (2/3)÷2
= (2/3)×(1/2)
= 2/6.
= 1/3 cups per gallon of sport drink.
In case of Franco the no. of cups of mix in his sport drink per gallon is
=(5/4)÷5
= 5/4×1/5
= 5/20
= 1/4 cups per gallon of sport drink.
∴ The strength of each sport drink is
= 1/3:1/4
= 12/3:12/4 ( LCM of 3,4 is 12 to remove the fractions)
= 4:3.
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The rectangular coordinate system shows the graph of the equations in a system of equations. Use the graph to determine the number of solutions for the system. If the system has only one solution, give its coordinates.
Answers
Answer:
A. The only solution is (-2, 1).
Step-by-step explanation:
Given a graph of two lines, you want the number of solutions to the system of equations the lines represent.
SolutionThe graph of an equation represents all of the points that satisfy that equation. When a system of equations has more than one equation, the set of points that satisfies all of the equations is the set of points where the graphs intersect (overlap) each other.
Here, the two straight lines intersect at exactly one point: (-2, 1). That one point represents the only solution to the system of equations.
The only solution is (-2, 1).
Given 9.05(−13.2), find the product.
Answers
The value of the product 9.05(-13.2) is -119.46
How to determine the product?The product expression is given as
9.05(-13.2)
Rewrite the product expression as
9.05(-13.2) = 9.05 * (-13.2)
Using a calculator, we have
9.05(-13.2) = -119.46
Hence, the value of the product 9.05(-13.2) is -119.46
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How do you write 2.74 x 10 to the negative 3rd power in standard notation?
Answers
Answer:
The exponent is -3, making it 10 to the power of negative 3. When an exponent is negative, the solution is a number less than the origin or base number. To find our answer, we move the decimal to the left 3 times:
2.74 ->0.00274
Step-by-step explanation:
Final Answer 0.00274
Cronus and Zeus are two competing cell phone companies. Cronus charges a flat rate of $8 per GB
of data. Zeus charges $3 per GB of data in addition to a monthly $10 fee that everyone pays
regardless of how much data they use. You expect to use between 0 GB and 8 GB of data each
month.
Part A: Graph the cost function associated with each company for data usage between 0 GB and 8
GB. Choose an appropriate scale for your graph.
Answers
The graph of the cost function is
Cost function refers to the functional relationship between cost and output. It studies the behavior of cost at different levels of output when technology is assumed to be constant.
Given: There are two companies Cronus and Zeus. Cronus charges a flat rate of $8 per GB of data. Zeus charges $3 per GB of data in addition to a monthly $10 fee that everyone pays. You expect to use between 0 GB and 8 GB of data each month.
Let y be the cost for data consumed.
Let x be Gb of data consumed.
Cost function of Cronus is y = 8x
Cost function of Zeus is y = 10+3x
Graph of both the companies is
where green line denotes the graph for Cronus and red line denotes the graph for Zeus.
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