Answer:
-15
Step-by-step explanation:
g(-1) = -2(-1)^2 -4 = -2 *1 -4 = -6
f(-2) = (-2)^2 -3 = 4 -3 = 1
3* [g(-1)+ f(-2) ]
3( -6+1)
3 ( -5)
-15
What are the answers? i’m not sure how to solve this.
Victor had dozen boxes with n number of water bottles in each box.After removing dozen bottles, there were 84 bottles.Find the number of bottles in each box.
Answer:
There are 8 bottles in each box.
Step-by-step explanation:
Victor has 12 boxes with 'n' number of water bottles in each box.
A dozen is same as 12.
Now, 12 boxes and each with 'n' number of bottles. Total number of bottles in '12' boxes is 12n bottles.
Now, it is removing 12(a dozen) bottles from 12n bottles which gives 84.
So, 12n -12=84
Add both sides 12
12n= 96
Divide both sides by 12
n=8
So, there are 8 bottles in each box.
solve the following system of equation for x
3x + y=9
2x -y=6
Answer:
x = 3 and y = 0 or (3, 0)
Step-by-step explanation:
First, you use the first equation to find what y equals.
3x + y = 9
y = 9 - 3x
Next, you plug in y to the second equation.
2x - y = 6
2x - (9 - 3x) = 6
2x - 9 + 3x = 6
5x - 9 = 6
5x = 15
x = 3
Then, you plug in x in the first equation.
3x + y = 9
3(3) + y = 9
9 + y = 9
y = 0
multiply and simplify (7ab+3c)(7ab-3c)
Answer:
49a²b² - 9c²
Step-by-step explanation:
(7ab+3c)(7ab-3c)
= 49a²b² - 21abc + 21abc - 9c²
= 49a²b² - 9c²
So, the answer is 49a²b² - 9c²
Answer: 49a²b² - 9c²
Step-by-step explanation:
We will apply the difference of two squares formula:
(7ab+3c)(7ab-3c)
(7ab)² - (3c)²
49a²b² - 9c²
Can someone help me with this math homework please!
Answer:
(6,1)
Step-by-step explanation:
On June 4th 2020, a new language was created called Math - is - fun! This language is a place value system which is written horizontally and the units place is on the right side and there is a space between each unit. The numerals used for this language are as follows: ! + 1 10 The positional values are as follows: ...,15^3 x 7^1, 15^2 x 7^1, 15 x 7^1, 7^1, 7^0 1) Write the numeral 125,126 in the language of Math – is – fun!
Answer:
56555666565252
Step-by-step explanation:
the numeral 125,126 in the language of Math - is - fun! is "+ 15 x 7¹ + 15 x 7¹ + 7¹ + 7⁰".
In the language of Math - is - fun!, the numerals used are !, +, 1, and 10. The positional values are as follows: ..., 15³ x 7¹, 15² x 7¹, 15 x 7¹, 7¹, 7⁰.
To write the numeral 125,126 in the language of Math - is - fun!, we need to express it using the available numerals and positional values.
125,126 can be expressed as:
15² x 7¹ + 15 x 7¹ + 7¹ + 7⁰
In Math - is - fun! notation, this becomes:
+ 15 x 7¹ + 15 x 7¹ + 7¹ + 7⁰
So, the numeral 125,126 in the language of Math - is - fun! is "+ 15 x 7¹ + 15 x 7¹ + 7¹ + 7⁰".
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Julia went into a movie theater and bought 2 bags of popcorn and 5 pretzels, costing a total of $37.25. Zoe went into the same movie theater and bough 8 bags of popcorn and 9 pretzels, costing a total of $102.25. Write and solve a system of equations to determine the price of each bag of popcorn and the price of each pretzel.
Taking into account the definition of a system of linear equations, the price of each bag of popcorn is $8 and the price of each pretzel is $4.25.
A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, the values of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.
In this case, a system of linear equations must be proposed taking into account that:
x: price of each bag of popcorn. y: the price of each pretzel.On one hand, Julia went into a movie theater and bought 2 bags of popcorn and 5 pretzels, costing a total of $37.25. This is expressed by 2x+5y= 37.25
Zoe went into the same movie theater and bough 8 bags of popcorn and 9 pretzels, costing a total of $102.25. This is expressed by 8x+9y=102.25
So, the system of equations to solve is:
\(\left \{ {{2x+5y=37.25} \atop {8x+9y=102.25}} \right.\)
There are various methods to solve a system of equations, it is decided to solve by the substitution method, which consists of solving one of the two variables in one of the equations of the system and substituting its value in the other equation.
So, isolating the variable x from the first equation:
2x+5y= 37.25
2x= 37.25 - 5y
x= (37.25 - 5y)÷2
x= 18.625 - \(\frac{5}{2}\)y
Replacing in the second equation:
8×(18.625 - \(\frac{5}{2}\)y)+9y=102.25
Solving:
8×18.625 - 8×\(\frac{5}{2}\)y+9y=102.25
149 - 20y + 9y=102.25
149 -11y= 102.25
-11y= 102.25-149
-11y= -46.75
y= (-46.75)÷ (-11)
y= 4.25
Finally, replacing in x= 18.625 - \(\frac{5}{2}\)y and solving you get:
x= 18.625 - \(\frac{5}{2}\)×4.25
x= 18.625 - 10.625
x=8
Remembering that x represents the price of each bag of popcorn and y represents the price of each pretzel, you get that the price of each bag of popcorn is $8 and the price of each pretzel is $4.25.
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Proofs in Propositional Logic. Show that each of the
following arguments is valid by constructing a proof.
4.
D
~D∨(E≡F)
~E⊃~F
From proofs in Propositional Logic. it is shown that each of the
following arguments is valid.
To prove the validity of the argument, we will construct a proof using the rules of propositional logic.
1. D (Assumption)
2. ~D ∨ (E ≡ F) (Assumption)
3. ~E ⊃ ~F (Assumption)
We will consider two cases:
Case 1: ~D
4. ~D (Reiteration)
5. ~D ∨ (E ≡ F) (Addition, from 4)
6. ~E ⊃ ~F (Reiteration)
Case 2: E ≡ F
7. E ≡ F (Assumption)
8. ~D ∨ (E ≡ F) (Addition, from 7)
9. ~E ⊃ ~F (Reiteration)
In both cases, we reach the same conclusion:
10. ~E ⊃ ~F (Disjunction Elimination, from 2, 3, 6, 9)
Since we can derive the conclusion ~E ⊃ ~F from the given premises in all cases, the argument is valid.
Therefore, the argument is valid.
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This image shows a square pyramid.
What is the surface area of this square pyramid?
32 ft²
64 ft²
128 ft²
136 ft²
Answer:
please provide the image! would love to help.
Step-by-step explanation:
Answer:
128
Step-by-step explanation:
I took the test
What is the slope of the line what is the slope that passes through the points (-1,-10) and
(-1, -2)? Write your answer in simplest form.
Please please help
Answer:
0
Step-by-step explanation:
y2 - y1 / x2 - x1
-2 - (-10) / -1 - (-1)
8/0
0
Pentagon A is rotated 180° about its center and then translated to create pentagon B.
What is the value of x?
The value of x after the simultaneous rotation and translation of pentagon A to create pentagon B is 110°
What is the translation of plane figures?A plane figure translation is an isometry that translates each position of the figure at a distance and in a direction indicated by the vector.
It is also regarded as a sort of transformation that involves sliding each point in a plane figure at an identical distance in a similar direction.
From the attached image, the value of x after the simultaneous rotation and translation of pentagon A to create pentagon B is 110°.
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A shoe store is selling basketball shoes at a 15% discount. What is the sale price of a pair of shoes originally priced at $155.00?
Answer:
131.75 would be the answer
Answer:
131.75
Step-by-step explanation:
155-155*15%=131.75
I hope this helps!
Find the rate of change in the table below X= -2, 1, 4, 7 Y= -11, -5, 1, 7
9514 1404 393
Answer:
2
Step-by-step explanation:
The steps in x are 1 -(-2) = 3, and the steps in y are -5 -(-11) = 6. The "rate of change" is the ratio of the change in y to the change in x:
m = ∆y/∆x = 6/3 = 2
The rate of change represented by the values in the table is 2.
_____
Additional comment
The table can be described by ...
y = 2x -7
it is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant. it is linear because the function is continuous. it is nonlinear because the final cost is determined by multiplying each price tag by 0.75. it is nonlinear because the price tag and final cost columns do not have the same common difference.
A statement which best describes the function that represents the situation include the following: A) It is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant.
What is a linear function?In Mathematics and Geometry, a linear function refers to a type of function whose equation is graphically represented by a straight line on the xy-plane or cartesian coordinate.
This ultimately implies that, a linear function has the same (constant) slope or ratio of change and it is typically used for uniquely mapping an input variable to an output variable, which both increases simultaneously.
In this context, we have the following linear function;
F = 0.75x
where:
F represents the final cost in dollars.
x represents the price on the tag in dollars.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
a woman has 7 keys, one of which will open a door. she tries the keys at random discarding those that do not work. what is the probability that she will open the door on her 3rd try?
She will likely succeed in opening the door on her third attempt is 3/7 of the time.
The area of mathematics known as probability deals with the outcomes of random events. Probability refers to a result's chance or potential. It clarifies the likelihood that a specific occurrence will take place. We frequently say things like, "He will probably pass the test," "There is very little chance of receiving a storm tonight," and "Most likely the price of onions will increase once more." We substitute the word probability for every instance of chance, uncertainty, likely, etc. in these statements.
In essence, probability is the ability to anticipate an outcome based on the variety and quantity of potential possibilities or the analysis of historical data.
overall keys = 7
choosing 1 opens the door since p(1)=1/7
trying to throw out = 2/7
The likelihood that she will succeed in doing so on her third attempt is:
P= 1/7 + 2/7.
P= 3/7
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What would be the new value of a after running the program
var a= 3
var b=5
a=a*b
options are:
8
15
3
75
Answer:
15
Step-by-step explanation:
var a = 3
then a= 3
var b = 5
then b = 5
a ( a new variable ) = a * b = 3 * 5
Review the title of the poem and lines 1-10. What does the word ""Road"" symbolize in the title? What do the woods symbolize? Explain what helped you determine what the symbols mean
To determine the symbolism of the word "Road" in the title and the woods in the poem, it is necessary to examine the context and themes of the poem.
The word "Road" often symbolizes a journey, choices, or the path of life, representing decisions and directions one takes. The woods, on the other hand, can symbolize the unknown, challenges, or a sense of being lost or overwhelmed. Understanding the symbolism requires analyzing the imagery, tone, and themes of the poem, as well as considering the poet's intentions and the larger context of the work.
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which system of inequalities does the graph represent? a. 2x 3y 4 and x 2y 3 b. 2x 3y 4 and x 2y 3 c. 2x 3y 4 and x 2y 3 d. 2x 3y 4 and x 2y 3 e. 2x 3y 4 and 2x 2y 3
The graph represents the system of inequalities 2x + 3y ≥ 4 and x + 2y ≤ 3. The test point (0, 1) satisfies both of the inequalities in that system. So, the correct answer is C). 2x + 3y is greater than or equal to 4 and x + 2y is less than or equal to 3.
The graph represents the system of inequalities: 2x + 3y ≥ 4 and x + 2y ≤ 3. To determine the test point that satisfies both of the inequalities in the system, we can pick any point that lies within the shaded region on the graph. One such point is (1, 1).
Plugging this point into both inequalities, we get
2(1) + 3(1) ≥ 4 → 5 ≥ 4 (true)
1 + 2(1) ≤ 3 → 3 ≤ 3 (true)
Since both inequalities are true for the point (1, 1), it satisfies both of the inequalities in the system. So, the correct option is C).
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--The given question is incomplete, the complete question is given
" Which system of inequalities does the graph represent? Which test point satisfies both of the inequalities in that system?
The graph represents the system of inequalities__________
A) 2x + 3y is greater than or equal to 4 and x+2y is greater than or equal to 3
B) 2x + 3y is less than or equal to 4 and x + 2y is less than or equal to 3
C) 2x + 3y is greater than or equal to 4 and x + 2y is less than or equal to 3
D) 2x +3y is less than or equal to 4 and x + 2y is greater than or equal to 3
E) 2x + 3y is less than or equal to 4 and 2x + 2y is less than or equal to to 3"--
Robbie can clean 72 rooms in 6 days.
How many rooms can Robbie clean in 9 days?
A square patio has an area of 135 square feet.How ling is each side of the patio to the nearest tenth?
Answer:
\(\boxed {\tt 11.6 \ feet}\)
Step-by-step explanation:
The area of a square can be found using the following formula.
\(A=s^2\)
We know the area of the patio is 135 square feet. Substitute 135 ft² in for A.
\(135 \ ft^2=s^2\)
We want to find the side length. We must isolate the variable, \(s\). on one side of the equation.
s is being squared. The inverse of a square is a square root. Take the square root of both sides of the equation.
\(\sqrt{135 \ ft^2} =\sqrt{s^2}\)
\(\sqrt{135 \ ft^2} =s\)
\(11.61895 \ ft =s\)
Round to the nearest tenth. The 1 in the hundredth place tells us to leave the 6 in the tenth place.
\(11.6 \ ft \approx s\)
Each side of the patio is about 11.6 feet.
Consider the function g(x)=−(x−1)^3−2. Which ordered pair lies on the inverse of the function?
(62,−3)
(−4, 123)
(3, 1)
(3,−6)
The ordered pair lie on the inverse of the function is (62,−3).
Option A is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = -(x - 1)³ - 2
The inverse of f(x).
y = -(x - 1)³ - 2
interchange x and y and solve for y.
x = -(y - 1)3 - 2
(y - 1)³ = -2 - x
(y - 1)³ = -(2 + x)
Cuberoot on both sides.
y - 1 = ∛-(2 + x)
y = ∛-(2 + x) + 1
Now,
Substitute in the inverse of g(x).
(62, -3) = (x, y)
(−4, 123) = (x, y)
(3, 1) = (x, y)
(3,−6) = (x, y)
So,
y = ∛-(2 + x) + 1
y = ∛-(2 + 62) + 1
∛-1 = -1
y = -1∛64 + 1
y = -1 x 4 + 1
y = -4 + 1
y = -3
So,
(62, -3) ______(1)
And,
y = ∛-(2 + x) + 1
y = ∛-(2 - 4) + 1
∛-1 = -1
y = ∛(-2 + 4) + 1
y = ∛2 + 1
y = 1.26 + 1
y = 2.26
So,
(-4, 2.26) _______(2)
And,
y = ∛-(2 + x) + 1
y = ∛-(2 + 3) + 1
∛-1 = -1
y = -1∛5 + 1
y = -1 x 1.71 + 1
y = -1.71 + 1
y = -0.71
So,
(3, -0.71) _______(3)
And,
y = ∛-(2 + x) + 1
y = ∛-(2 + 3) + 1
∛-1 = -1
y = -1∛5 + 1
y = -1 x 1.71 + 1
y = -1.71 + 1
y = -0.71
So,
(3, -0.71) ______(4)
Thus,
From (1), (2), (3), (4) we see that,
(62, -3) is the solution to the inverse of g(x).
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The Value of x is . And the value of y is .
Write each expression in factored form.
2 x²+7 x+6 .
The expression 2x² + 7x + 6 can be factored as (2x + 3)(x + 2). To factor the expression 2x² + 7x + 6, we need to determine two binomial factors whose product is equal to the given expression.
We look for two numbers whose product is equal to the product of the coefficient of the x² term (2) and the constant term (6), which is 2 * 6 = 12. Additionally, we need to find two numbers whose sum is equal to the coefficient of the x term (7), which is 7.
The numbers that satisfy these conditions are 3 and 4, as 3 * 4 = 12 and 3 + 4 = 7. Therefore, we can write the factored form of the expression as (2x + 3)(x + 2).
Expanding this factored form using the distributive property, we get:
(2x + 3)(x + 2) = 2x² + 4x + 3x + 6 = 2x² + 7x + 6
Hence, (2x + 3)(x + 2) is the factored form of the expression 2x² + 7x + 6.
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how many degrees does the minute hand of a clock turn in 45 minutes
The clock minutes rotate 270 degrees in 45 minutes.
How to calculate the angular size of a clock's handsWhile rotating, the clock's hands are seen to move at a speed of six degrees per minute.
The number of degrees for a clock minute is solved by
60 minutes = 360 degrees
1 minute = ?
cross multiplying
60 * ? = 360
? = 360 / 60
? = 6
hence 1 minute is 6 degrees
The formula to use to get the calculation is multiplying the number of minutes by 6
Number of degrees in 45 minutes = 45 * 6
Number of degrees in 45 minutes = 270 degrees
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Which equation can be used to find the nth term of the sequence, an? 5, 20, 80, 320, 1280, ...
an=4⋅5n−1
an=1.25⋅4n−1
an=5⋅4n−1
an=4⋅1.25n−1
Answer:
C.) 5 * 4^n-1
Step-by-step explanation:
Use the given method you use for finding the sequence with the terms.
Also K12 moment.
If it's wrong, please forgive me, I'm in the middle of the test as well.
I checked and I'm 99% sure this is the answer
Hope this helped despite being a little late!
Solve the inequality 5x < 16 +x.
x < 1/4
x>1/4
x<4
x>4
Answer:
\(x<4\)
Step-by-step explanation:
\(5x<16+x\)
\(5x−x<16\)
\(4x<16\)
\(x < \frac{16}{4} \)\(x < 4\)
Hope it is helpful....Answer:
x<4 is the answer
Step-by-step explanation:
4.72 rounded to the nearest tenth
Answer:
4.70
~hope this answered your question correctly, have a gr8 day my friend!~
Step-by-step explanation:
Answer:
4.7
Step-by-step explanation:
Because 2 is below 5
A boy walked for 4 hours and cycled for 3 hours covering a distance of 87.6km . Later she walked for 2 hours and cycled for 4 hours covering a distance of 101.8km. What was her average speed for walking and her average speed of cycling if these did not change in the two instances?
Answer:
average speed for walking = 4.5 km/h
average speed for cycling = 23.2 km/h
A study was performed with a random sample of 513 bolts produced at one factory. What population would be appropriate for generalizing conclusions from the study, assuming the data collection methods used did not introduce biases?.
Given that the study was conducted using a sample of 513 bolts produced at a single facility when there is no bias resulting from data gathering procedures, broad inferences may then be drawn.
All bolts manufactured by that factory would be covered by the conclusion?
Due to the fact that bolts made in the same factory will follow the results of an analysis of a sample made up of bolts from the same factory. The finding or conclusion would therefore be applicable to all bolts produced in the same factory because the environment for experimentation and production is the same there while it may differ in other factories. Conclusions from the study may not apply to the bolts made by other companies as a result of this bias.
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the diffrance of three times a number and 4 is 19.
Answer:
Step-by-step explanation:
Key points:
the difference of 3 times a number and 4 is 19.
The answer is 19.
The number x is multiplied 3 times.
4 is subtracted from the product.
Equation:
3(x) -4 = 19
3x=19+4
3x=23
3x/3=23/3
x=7 2/3
as a decimal is 7.66
Proof:
3(7.66) -4 = 19