Answer:
115.2
Step-by-step explanation:
First we make an equation and replace blank with x.
Look at photos to see solution.
1. Let f(x) = 2x^+x-3 and g(x) = x-1 preform the indicated operation, then find the domain.
(f-g)(x)
a. x^2 -4 ; domain: positive real numbers
b. 2x^2-4 ; domain: all real numbers
c. x^2-4 ; domain: all real numbers
d. 2x^2-2 ; domain all real numbers
2. Let f(x) = 2x^2 + x -3 and g(x) = x-1 preform the indicated operation, then find the domain.
a. 2x^3 - x^2 - 4x+3; domain: all real numbers
b. 2x^3 + x^2 - 3x ; domain: all real numbers
c. 2x^3 + x^2 + 4x-3 ; domain: negative real numbers
d. 2x^2+x-3x+3
3. let f(c) = 2x^2 + x -3 and g(x) = x -1. Perfrom the indicated operation, then find the domain.
a. 1/2x+3; domain: all real numbers except x = -3/2
b. 2x+3; domain: all real numbers
c. 2x^2+3 domain: all real numbers
d. 2x+3; domain: all real numbers except x = 1
Step-by-step explanation:
#1
\(f(x) = 2x^2 + x - 3\)\(g(x) = x - 1\)\(\text{Find (f - g)(x):}\)
\((f - g)(x) = f(x) - g(x) = 2x^2 + x - 3 - x + 1 = 2x^2 - 2\)Correct choice is D
\(\text{The rest of the parts are confusing since f(x) and g(x) are same as in the first part}\)Name and locate points in all four quadrants of the coordinate plane.
Your good (though slightly weird) friend claims to be able to predict a coin flip perfectly every time. You think that they are just guessing heads or tails with equal probability every time though, and have just been lucky so far. What's the smallest number of predictions in a row where you are at least 99% certain your friend will make a mistake
The smallest number of predictions in a row where you are at least 99% certain your friend will make a mistake is seven.
The smallest number of predictions in a row where you are at least 99% certain your friend will make a mistake is 7. The friend's probability of getting a correct answer is 1/2, which is equivalent to 0.5. For a series of coin flips, this is a Bernoulli experiment. The probability of getting seven heads in a row is 0.5 raised to the power of 7, or 0.0078125, which is roughly 0.8%. As a result, you can state with 99 percent confidence that the friend will make a mistake if he or she predicts seven times in a row because the likelihood of seven heads in a row is less than 1%. Therefore, the smallest number of predictions in a row where you are at least 99% certain your friend will make a mistake is seven.
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A corporation earned a profit of $2.5 x 10^4 for 1 x 10^3 days in a row. What was the corporation's total profit during world this time period?
The total profit earned by the corporation was $2.5 x 10⁷
To find the total profit earned by the corporation in 1000 days, we need to multiply the profit earned per day by the number of days.
The given profit of the corporation is $2.5 x 10⁴ and the number of days is 1 x 10³ days.
Therefore,Total profit = Profit per day × Number of days= $2.5 x 10⁴ × 1 x 10³= $2.5 x 1 x 10⁴ x 1 x 10³= $2.5 x 10⁷
Therefore, the total profit earned by the corporation was $2.5 x 10⁷.
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Determine which is the better buy.
9 straps for $20.25 or 30 straps for $66.00. Please help
Answer: 30 straps for 66 is better
Step-by-step explanation:
If its 9 straps for 20.25, then one strap costs 2.25
If its 30 traps for 66, one strap costs 2.2
Therefore, if you buy 30 straps for 66, its a better buy.
Answer:
1. 2.25
2. 2.20
3. 1.02
4. 30 straps
Step-by-step explanation:
1. Divide 20.25 by 9
2. Divide 66 by 30
3. Divide 2.25 by 2.20
Find the slope of the line through (2. – 3) and (5. – 3).
Answer:
Step-by-step explanation: Explanation:
You need to use the formula for slope:
m
=
y
2
−
y
1
x
2
−
x
1
m
represents the slope.
You need to assign each coordinate, but it must correspond.
For example:
In the coordinate
(
2
,
−
3
)
,
2
is
x
1
and
−
3
is
y
1
.
In the coordinate
(
5
,
2
)
,
5
is
x
2
and
2
is
y
2
.
Now you plug this in.
m
=
2
−
(
−
3
)
5
−
2
After this, you need to simplify
m
=
5
3
This may be wrong so double check.
let's solve:-
\(the \: formula \:to \: find \: slope \: \bold \green{m = \frac{y2 - y1}{x2 -x1}} \\ \\ \sf{(where \: m \: represents \: the \: slope.)} \\ \\ \)
_________________________Here:-
\( \bold \red{\boxed{y2 = - 3} }\\ \bold \red{\boxed{y1 = - 3} }\\ \bold \red{\boxed{x2 = 5}} \: \: \: \\ \bold \red{\boxed{ x1 = 2} }\: \: \: \)
\( \large\boxed {\sf{↬putting \: values \: according \: to \: formula}}\)
\( \large \bold{↬m = \frac{ - 3 - ( - 3)}{5 - 2}} \\ \\\large \bold{↬m = \frac{ - 3 + 3}{5 - 2} } \: \: \: \: \: \: \: \\ \\ \large \bold{↬m = \frac{0}{3} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \bold\blue{↬m = 0} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)
_________________________To make marbled paper, Shannon filled a rectangular 10/279 cm by 10/178 dish with water. Then they gently swirled paint on top of the water. Let A represent the area of the dish.
Select 1 multiplication and 1 division equation to represent the relationship.
A) 178/10 x A = 279/10
B) 178/10 x 279/10 = A
A) 279/10 / 178/10 = A
B) A / 178/10 = 279/10
When Shannon filled a rectangular 10/279 cm by 10/178 dish with water, the area is B) 178/10 x 279/10 = A and A / 178/10 = 279/10
How to illustrate the information?It should be noted that in order to make the paper, Shannon filled a rectangular 10/279 cm by 10/178 dish with water and then they gently swirled paint on top of the water.
Therefore, the area of the rectangular paper as illustrated will be calculated by multiplying the dimensions given. This will be:
Area = Length × Width
Area = 10/279 × 10/178
Therefore, based on the information, it should be noted that the correct option is B.
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Answer:
b and d
Step-by-step explanation:
A rental car company charges $77.50 per day to rent a car and $0.10 for every mile driven. Sydney wants to rent a car, knowing that:
Answer:
Step-by-step explanation:
answer: owen can afford to keep and drive the car for 4 days.
The total owing on the car rental is R(d) = ($77.25/day)d + ($0.12/mile)m ≤ $330. Substitute 1 for d (that is, the rental is for 1 day) and 175 for m:
R(d) = ($77.25/day)(d days) + ($0.12/mile)(175 miles) ≤ $330
= $77.25d + $21 ≤ $330
This simplifies to $77.25d + $21 ≤ $330, or
$77.25d ≤ $309
Solving this by dividing both sides of the above equation by $77.25, we get
d = ($309)/($77.25) = 4
Eli runs 5 meters per second.
On a coordinate plane, a line goes through points (1, 5) and (2, 10)..
Use the graph to identify the independent and the dependent variable. Check all that apply.
The two variables are Eli and 5.
The two variables are meters and seconds.
Meters are graphed on the x-axis.
Meters are graphed on the y-axis.
Seconds is the independent variable.
Seconds is the dependent variable.
Answer:
the two variables are meters and seconds,. meters are graphed on the y- axis, seconds is the independent variable....2,4,5
Answer:
right answer lol
Step-by-step explanation:
a
Jaycee Alvarez deposits $300 in a savings account at City Bank. The account pays an annual interest rate of 5 percent. She makes no other
deposits or withdrawals. After three months the interest is calculated. How much simple interest does her money earn?
A А.
$3.95
С
$4.25
B
$4.00
D
$3.75
The answe is D. 3.75
hope this helps^^
if tan theta=-3/2 and 90°
The value of cos Θ /2 and tan Θ /2 can be found to be:
cos Θ /2 = √((1 - √(4/13))/2) tan Θ /2 = √((1 + √(4/13))/(1 - √(4/13)))How to find the cosine and tangent ?We are given that 90° < Θ < 180°, which means that theta would be in the second quadrant.
We can therefore use half - angle formulas to find cos Θ /2 and tan Θ /2.
To find cos Θ /2, we have:
cos(Θ/2) = ±√((1 + cos(Θ))/2)
cos(Θ/2) = ±√((1 - √(4/13))/2)
cos(Θ/2) = √((1 - √(4/13))/2)
To find tan Θ /2, we have:
tan(Θ/2) = ±√((1 - cos(Θ))/(1 + cos(Θ)))
tan(Θ/2) = ±√((1 + √(4/13))/(1 - √(4/13)))
tan(Θ/2) = √((1 + √(4/13))/(1 - √(4/13)))
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The full question is:
Suppose that tan Θ = - 3/2 and 90 °< Θ < 180 °.
Find the exact values of cos Θ /2 and tan Θ /2
i need help ASP. f(x)=1-3X and g (x)=x+4 calculate fg(-2)
First replace x with -2 in the g(x) equation and solve:
G(x) = x + 4 = -2 + 4 = 2
Now replace x in the f(x) equation with the solution of g(x).
F(x) = 1-3(2) = 1-6 = -5
Fg(-2) = -5
Suppose f(x) = - 3x² + 9x − 2. Compute the following:
A.) ƒ( − 2) + f(1) =
B.) ƒ( − 2) – ƒ(1) =
Step-by-step explanation:
\( f(x) = - 3 {x}^{2} + 9x - 2\)
A) f(-2) + f(1) = -32 + 4 = -28
B) f(-2) - f(1) = -32 - 4 = -36
Give an example of a like term for each of
the terms listed below.
a.-19c
b. 12
C. 5x^2
d. 2a
e. 6xy
Answer:e
Step-by-step explanation:wee
Answer: a c and d
Step-by-step explanation: Math terms are when you see a letter next to a number
IF YOU ARE GOOD AT MATH 1 FOR 9th GRADE IF YOU DO MY EXAM (12 questions) I WILL PAY YOU IF ITS ALL CORRECT HELP ASAP
Answer:
Yea ill do it
Step-by-step explanation:
bobby's cat runs x mph. bobby's dog runs twice as fast as his cat. if the cat and the dog start running away from each other, how far away from each other will they be after 30 minutes
Answer:
They will be 0.5x miles away from each other.
Calculation of the distance:
Since Bobby's cat runs x mph. Bobby's dog runs twice as fast as his cat.
So here the speed of the dog should be 2x
Now we know that
Here distance of cat should be x of 30 minutes or half hour = 0.5x miles
And, Distance of dog should be 2x of 0.5 = x miles
So, the difference should be
= x - 0.5
= 0.5x miles
hence, They will be 0.5x miles away from each other.
Step-by-step explanation:
Answer:
1.5x miles, because you already know that the cat's speed is 0.5x miles, and the dog is x miles, so when you add it together, you get 1.5x miles
Find the volume of the composite figure. Round to the nearest hundredth.
Answer:
The volume of the cylinder section is about 82.8, and the volume of the cone is about 28.2.
Step-by-step explanation:
To find the cone's volume, it is v=pir^2*h/3
To find the cylinder, it is v=pir^2*h
I'm sure you can do the rest.
Geometry homework very confusing
Answer:
Step-by-step explanation:
0olve the equation
x/6 -5 = (-13)
Answer:
x=-13
Step-by-step explanation:
\(\frac{x}{6-5}=\left(-13\right)\)
\(\frac{x}{1}=\left(-13\right)\)
\(x=-13\)
Answer: x= -48
Step-by-step explanation:
x/6 -5 = -13 check answer
+5 = +5 (-48)/6 -5 =-13
x/6 = -8 -8 -5 = -13
6(x/6) = (-8)6 -13 = -13
x=-48
Dakota asked his classmates who run track, "How many days do you run in a typical week?" The table shows Dakota data.
Dakota recorded A. 16 observations.
What is an observation?An observation means collecting facts or data by paying close attention to specific things or situations.
To find out how many observations Dakota recorded, we shall count all the numbers in the table.
The table is made up of 4 rows and 4 columns, so we multiply these numbers together to get the total number of observations.
So, 4 * 4 = 16.
Therefore, the number of information or data recorded by Dakota is 16 observations.
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Which number should be added to
both sides of this quadratic equation
to complete the square?
(-3/2)² + 1 = x² − 3x + (-3/2)²
Answer:
9/4
Step-by-step explanation:
You want to know the value required to complete the square in the equation 1 = x² -3x.
PictureYour picture shows the required value: (-3/2)² = 9/4.
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Lillian deposits $1,600 in an account at Excellence Bank. Find the amount of interest earned after 18 years. Interest earned
As per the concept of simple interest the amount earned after 8 years is $3,472.00
Here we have given that Lillian deposits $1,600 in an account at Excellence Bank.
While we looking into the given question, we have identified the values of the following,
Amount invested = $1,600
Time period = 18 years
Interest rate = 6.5%
Then the total amount is calculated as,
Here we have to converting R percent to r a decimal
=> r = R/100 = 6.5%/100 = 0.065 per year.
Now, we have to solve our equation
=> A = 1600(1 + (0.065 × 18)) = 3472
=> A = $3,472.00
Therefore, the total amount accrued, principal plus interest, from simple interest on a principal of $1,600.00 at a rate of 6.5% per year for 18 years is $3,472.00.
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Find the length of a. The length of the of the unknown leg is?
Answer:
10
Step-by-step explanation:
Pythagorean theorem
c² = a² + b²
26² = a² + 24²
a² = 26² - 24² = 100
a = √(100) = 10
The length of unknown leg will be a = 10 units
ConceptThe right angle triangle is given and the length of one side and length of hypotenuse are givenWe have to find the length of second sideSince the triangle given is right angle triangle we will use pythagorean theorem to find the length of third side.How to solve this problem?The steps are as follow:
The length of first side is 24 units and length of hypotenuse is 26 units and the second side is unknown which is taken as 'a' According to pythagorean theorem:(hypotenuse)^2 = (Side)^2 + (Side)^2
(26)^2 = (24)^2 + (a)^2
676 = 576 + (a)^2
(a)^2 = 676 - 576
(a)^2 = 100
a = 10 units
So the length of unknown leg will be a = 10 units
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Help me please
Look at this graph
Answer:
Slope = Rise/Run
Slope = 1/2
Step-by-step explanation:
Pick two points randomly, it doesn't matter.
Count the rise, then count the run.
Simplify the fraction.
Boom! You got it!
PLEASE EXPLAIN HOW TO DO THIS
Answer:
B) 243 km^3
Step-by-step explanation:
The formula for volume is Length x width x height, so we must find those values. By looking at the shape, the length is 9 km, width is 9 km, and height is 3 km, and after substituting these values in the equation, we get 9 km x 9 km x 3 km. When multiplied, it equals to 243 km^3, so the answer for the volume of the solid is B) 243 km^3.
Hope this helped somewhat! :P
Simplify the following functions using the Karnaugh Map method and obtain all possible minimized forms of the function. I Function 1 - Minimized SOP form (6 possible functions) F(a,b,e,d)=2m(0,1,3,4,6,7,8,9,11,12, 13, 14, 15) Function 2 - Minimized POS form (3 possible functions) F(a,b,c,d,e)=2m (4,5,8,9,12,13,18,20,21,22,25,28,30,31) Submit the following: 1. All grouped and labelled K-Maps of Function 1 2. All minimized SOP forms of Function 1 3. All grouped and labelled K-Maps of Function 2 4. All minimized POS forms of Function 2
However, I can explain the process of simplifying the given functions using the Karnaugh Map (K-Map) method and provide you with the minimized SOP and POS forms.
1. For Function 1, we have the following grouped and labeled K-Maps:
- K-Map for variables a, b, and e (4x4 grid)
- K-Map for variable d (2x2 grid)
2. To obtain the minimized SOP forms of Function 1, we need to analyze the grouped cells in the K-Maps and write the corresponding Boolean expressions. By applying the K-Map method, we can obtain six possible minimized SOP forms for Function 1.
3. For Function 2, we have the following grouped and labeled K-Maps:
- K-Map for variables a, b, c, and e (4x4 grid)
- K-Map for variable d (2x2 grid)
4. To obtain the minimized POS forms of Function 2, we need to analyze the grouped cells in the K-Maps and write the corresponding Boolean expressions. By applying the K-Map method, we can obtain three possible minimized POS forms for Function 2.
Please note that the specific expressions and grouped cells for each function can be obtained by visually examining the K-Maps. It would be best to refer to a resource that allows you to draw and label the K-Maps to get the accurate results for Function 1 and Function 2.
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What is the slope and y-intercept of this line y =- 6x 2?.
The line's slope is -6, and its y-intercept is 2. In this equation, the slope is the value of x, which is -6, and the y-intercept is the value of b, which is 2. This is known as the slope-intercept format.
All linear equations, with the exception of vertical lines, cross the y-axis at a certain location known as the y-intercept. When our linear equation is written as y = m x + b, the slope-intercept form, the value of b is the value of the y-intercept.
A sample of a linear equation: what is it?Ax+By=C is the typical form for linear equations involving two variables. A linear equation in standard form is, for instance, 2x+3y=5. Finding both intercepts of an equation in this format is rather simple (x and y).
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Need help asap.
The GDP of a country goes down as people spend more money and businesses make more products.
True or false
Answer:
I'm gonna say false
GDP or Gross Domestic Profit is the money that is being spent/made inside the country. So it stands to reason that if people are spending more, the GDP would go up.
Hope this helps!
Can anyone help me with geometry proving parallel lines?
1-6
Answer:
1.) 95°
2.) 74°
3.) 104°
4.) 96°
5.) 98°
Determine all segments skew to CD.