f(x)=4x-1 and g(x)=x2-5 FInd (f-g)(x)
Answers
Related Questions
What is 20 + 10? (Nobody answer this)
Answers
Remove the zeros and add normally. Then add 1 zero next to the answer.
Another way:
Add 20+10.
Answer: 30
Three interior angles of a quadrilateral measure 55°, 117°, and 120°. What is the measure of the fourth interior angle?
68°
78°
88°
98°
Answers
it would be: 360 - (55+117+120)
= 360 - 292
= 68 degrees
So, option A is your answer.
Hope this helps!
The measure of the fourth interior angle of the given quadrilateral is: B. 68°
What is the Sum of a Quadrilateral?The sum of all the interior angles of a quadrilateral equals 360 degrees.
The given interior angles of the quadrilateral are: 55°, 117°, and 120°
The measure of the fourth interior angle = 360 - 55 - 117 - 120
The measure of the fourth interior angle = 68 degrees.
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170 percent converted to a fraction equals: ...?
Answers
After finding the simplest form by dividing 100 the fraction equivalent to 170 percent we get 17/10.
A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means.
Here we have to convert:
170 percent into a fraction
Divide it by 100 to condert into fractions,
170/100
Divide both the numerator and denominator by 10
17/10
Since 17 and 10 are co-primes,
Therefore, it is in simplest form.
Hene,
The fraction 17/10 is equivalent to 170%.
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Fernando purchased 1 pound of dried cranberries and 4 pounds of almonds to make a trail mix. Cranberries cost $4 per pound and almonds cost $5 per pound. What is the price per pound of the trail mix?
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4 lb alm: 20
24 dollars for 5 lb
24/5 is 4.8
$4.80 per lb
Which of the following are equivalent to the function y = 4cos x - 2? Check all that apply.
A. y = -4cos x + 2
B. y = 4sin(x +π/2 ) - 2
C. y = 4sin(x - π/2) - 2
D. y = 4cos(-x) - 2 ...?
Answers
Out of the given options, B (y = 4sin(x +ext{ extpi}/2 ) - 2) and D (y = 4cos(-x) - 2) are equivalent to the function y = 4cos x - 2, due to trigonometric identities and properties.
To determine which of the given options are equivalent to the function y = 4cos x - 2, we need to look at trigonometric identities and properties of cosine and sine functions.
Option A: y = -4cos x + 2 is not equivalent since it represents a reflection in the x-axis followed by a vertical shift, which alters the original function's graph completely.Option B: y = 4sin(x +rac{ext{extpi}}{2}) - 2 is equivalent because of the co-function identity sin(x + rac{ext{ extpi}}{2}) = cos x, which makes the functions identical.Option C: y = 4sin(x - rac{ext{extpi}}{2}) - 2 is not equivalent because sin(x - rac{ext{extpi}}{2}) is not equal to cos x.Option D: y = 4cos(-x) - 2 is equivalent due to the even property of the cosine function, which states that cos(-x) = cos x.
What is the difference? -2/15 -(-9/15)
a.-11/15
b. -7/15
c. 7/15
d. 11/15
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the answer is C
Jim earns $1,600 per month after taxes. He is working on his budget and has the first three categories finished.
Housing $576
Food $272
Transportation $320
Why will he have a problem with the rest of his budget?
He is budgeting too much for transportation.
He has used the highest recommended percentages to calculate the amounts for the three categories.
He is budgeting too much for housing.
He has used the lowest recommended percentages to calculate the amounts for the three categories.
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When budgeting, it is useful to use percentages slightly higher than the minimum to compensate for uncertainties.
B.
He has used the highest recommended percentages to calculate the amounts for the three categories.
60% of what number is 13.5?
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The required, 60 percent of 22.5 is equal to 13.5, as of the given condition.
What is percentage?The percentage is a way of expressing a fraction or a decimal number as a portion of 100. It is denoted by the symbol '%'. For example, the percentage of 0.75 can be calculated as 0.75 x 100% = 75%. In other words, we are expressing 0.75 as a fraction of 100.
Here,
To find out what number 60% of is equal to 13.5, we can use algebra. Let x be the number we are looking for. Then we can write:
60% of x = 13.5
We can convert 60% to a decimal by dividing by 100:
0.6x = 13.5
Finally, we can solve for x by dividing both sides of the equation by 0.6:
x = 13.5 ÷ 0.6
x = 22.5
Therefore, 60% of 22.5 is equal to 13.5.
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Explain why all linear angle pairs must be supplementary, but all supplementary angles do not have to be linear pairs?
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Linear angle pairs are adjacent angles (they are together) and they form a straight angle, which is 180°. Therefore, they are supplementary.
But two angles may be separated and yet add 180°, then they are supplementary but are not linear angle pairs.
Final answer:
Linear angle pairs are always supplementary and formed by intersecting lines, while supplementary angles can be any two angles that add up to 180 degrees.
Explanation:
In mathematics, linear angle pairs are formed by two adjacent angles that add up to 180 degrees. This is known as supplementary angles. Linear angle pairs always occur when two lines intersect, creating opposite angles or a straight angle, such as in the case of a triangle.
On the other hand, supplementary angles do not have to be linear pairs. Supplementary angles are any two angles that add up to 180 degrees, regardless of their position or relation to each other. They can be adjacent angles, non-adjacent angles, or angles across parallel lines.
For example, two angles measuring 60 degrees and 120 degrees are supplementary angles but not a linear pair, since they are not adjacent to each other or formed by intersecting lines.
The height of the Empire State Building is 318.00 meters. If a stone is dropped from the top of the building, what is the stone's velocity just before it strikes the ground?
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Answer: In order to find the stone’s velocity just before it strikes the ground we will use one of the free fall equations. V = √(2gh). We already have the values needed which are the gravity (9.8 m/s2) and our total height (318 meters). All you have to do is solve for V. You should get 78.95 m/s.
a cinder block is sitting on a platform 20 high. lt weighs 79n. The block has_____ energy. calculate it.
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Calculations:
Ep = mgh = mg = Fg
Ep = (Fg)(h)
Ep = (79N)(20 m)
Ep = 1580 J.
I believe the block's potential energy with respect to gravity is 1580 J.
wholesale price $3.50 per item and is sold at a retail value of $5.00 what is the gross percentage of the item?
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If f(x) = 8, what is f(x) when x = 10? 4 9 13 36
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If f(x) = 8, then f(x) when x = 10 is also 8, because the function's value is constant for all x.
Explanation:If the function f(x) is defined as f(x) = 8 for all values of x, then regardless of the value we substitute for x, the function's output remains constant at 8. So when x = 10, the value of f(x) is still 8. This is an example of a horizontal line on a graph where the y-value does not change regardless of the x-value. In terms of probability, if we're dealing with a continuous probability distribution where f(x) is a constant, then to find P(0 < x < a), we would simply evaluate the integral of f(x) over the interval from 0 to a. However, given that in this case f(x) is not a probability density function and is a constant value, P(x) would not be applicable.
Write the number 7/10 as a decimal and describe the process
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We got the answer by doing
7 divide 10
I hope this helps you :)
Let p: The integer has one digit.
Let q: The integer is less than 10.
Which represents "The integer has one digit if and only if the integer is less than 10”?
p ∨ q
p ∧ q
p → q
p ↔ q
Answers
Answer:
p ↔ q
Step-by-step explanation:
Given :
Let p: The integer has one digit.
Let q: The integer is less than 10.
To Find:Which represents "The integer has one digit if and only if the integer is less than 10”?
Solution:
1. p ∧ q denotes “p and q”
2.p ∨ q denotes “p or q" (or both)
3.p → q denotes “if p then q”
4. Biconditional p ↔ q denotes “p if and only if q"
Thus Biconditional p ↔ q represents "The integer has one digit if and only if the integer is less than 10”
Hence Option D is correct p ↔ q
What is the middle term of the product of (5a - 7)(2a - 1)?
-4a
-19a
-24a
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= 10a² - 14a - 5a + 7
= 10a² - 19a + 7
Middle term = -19a
Eric bought 300 t-shirts, which were sold in packs of 12. How many packs did Eric buy?
A) 20
B) 25
C) 28
D) 30
Answers
300 divided by 12 = 25.
Answer is B, 25, because 300 Divided 12 is 25 & 25x12=300.
The sum of three consecutive even integers is 66. Which equation represents the scenario?
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consecutive even integers are 2 apart
they are x,x+2, and x+4
sum is 66
x+x+2+x+6=66
that is the equation
the answer is x=20, so the numbers are 20,22,24 if you were interested
The correct option is:
d. x + (x+2) + (x+4) = 66
The scenario involves three consecutive even integers. Let's denote the first even integer as x, the second one as x+2 (since it is the next consecutive even integer), and the third one as x+4 (as it is two more than the second one).
The sum of these three consecutive even integers is given to be 66. Therefore, the equation that represents this scenario is:
x + (x+2) + (x+4) = 66
So, the correct option is:
d. x + (x+2) + (x+4) = 66
The probable question may be:
The sum of three consecutive even integers is 66. Which equation represents the scenario?
a. x=66
b. x+(x+1)+(x+2)=66
c. x+x+x=66
d. x+(x+2)+(x+4)=66
The matrix C=[1,-2_-3,7] was used to encode a phrase to [7,-28,-25,-35,-2_-21,107,90,123,17]. Find C^-1 and use it to decode the matrix.
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is the required matrix.
Which of the following is not a combination?
The number of ways a President and Vice President can be chosen from a group of 10 people.
The number of 2 person subcommittees that can be chosen from a 10 person committee.
The number of 2 person teams that can be picked form 10 people.
Answers
When you're picking people for specific roles, the order in which people are picked matters. That is a permutations situation, not combinations.
For the others, they're situations that can be modeled with combinations since order does not matter. All that matters when you make a subcommittee or a duo-team is who's in it.
When there is the no of ways where the president and the vice president should be selected from the grouping of 10 people does not represent the combination.
The following information should be considered:
In the case when the people are picked out for particular role so here the order should be matter. It should be the situation of permutation, not the combination situation. Based on this, the last 2 options are considered to be the combinationTherefore we can conclude that when there is the no of ways where the president and the vice president should be selected from the grouping of 10 people does not represent the combination.
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Select the graph of the solution. Click until the correct graph appears.
x ≥ 4
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Answer:
The answer is the option B
see the attached figure
Step-by-step explanation:
we have
[tex]x\geq4[/tex]
The solution is the interval ------> [4,∞)
All real numbers greater than or equal to [tex]4[/tex]
therefore
the answer in the attached figure
What is the value of x in the diagram?
(Diagram in the following post)
A. 1/2
B. 4/21
C. 2
D. 4
Answers
Answer:
The answer is 2 so C
Step-by-step explanation:
The correct answer is D. 4, The value of x is 4.
To find the value of [tex]\( x \)[/tex] in the diagram, we need to apply the properties of similar triangles. Assuming the diagram shows two similar triangles with corresponding sides labeled, we can set up a proportion between the sides of the similar triangles.
Let's denote the sides of the smaller triangle as [tex]\( a \), \( b \), and \( c \)[/tex], and the corresponding sides of the larger triangle as [tex]\( ka \), \( kb \), and \( kc \),[/tex] where [tex]\( k \)[/tex] is the scale factor between the two similar triangles.
Given that one side of the larger triangle is 4 times the corresponding side of the smaller triangle, we have [tex]\( k = 4 \)[/tex].
Now, if we let [tex]\( a = 21 \)[/tex] (as per the options given), then the corresponding side of the larger triangle is [tex]\( ka = 4 \times 21 = 84 \).[/tex]
The problem states that the side labeled [tex]\( x \)[/tex] in the larger triangle corresponds to the side labeled [tex]\( 1 \)[/tex] in the smaller triangle. Therefore, we have the proportion:
[tex]\[ \frac{x}{ka} = \frac{1}{a} \][/tex]
Substituting the known values, we get:
[tex]\[ \frac{x}{84} = \frac{1}{21} \][/tex]
To solve for [tex]\( x \)[/tex], we cross-multiply:
[tex]\[ x \times 21 = 84 \times 1 \][/tex]
[tex]\[ 21x = 84 \][/tex]
Now, we divide both sides by 21 to isolate [tex]\( x \)[/tex]:
[tex]\[ x = \frac{84}{21} \][/tex]
[tex]\[ x = 4 \][/tex]
What is 1036.50 rounded the the nearest whole number?
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What is the solution set of the following equation?
4/5x^2=2x-4/5
1. {1, 2}
2. {1, 1/2}
3. {2, 1\2}
Answers
4x^2=10x-4
divide both sides by 2
2x^2=5x-2
minus 5x from both sides and add 2 to both sides
2x^2-5x+2=0
use quadratic formula
for
ax^2+bx+c=0
x=[tex] \frac{-b+/- \sqrt{b^2-4ac} }{2a} [/tex]
given
2x^2-5x+2=0
a=2
b=-5
c=2
x=[tex] \frac{-(-5)+/- \sqrt{(-5)^2-4(2)(2)} }{2(2)} [/tex]
x=[tex] \frac{5+/- \sqrt{25-16} }{4} [/tex]
x=[tex] \frac{5+/- \sqrt{9} }{4} [/tex]
x=[tex] \frac{5+/- 3}{4} [/tex]
x=(5+3)/4 or (5-3)/4
x=8/4 or 2/4
x=2 or 1/2
3rd option is correct
Answer:
{2, 1\2}
Explanation:
1735/1000 is what in decimal form
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We divide now 1735 by 1000 what we write down as 1735/1000 and we get 1.735 1735/1000 as a decimal equals 1.735
Use the Laplace transform to solve the given initial value problem. y' + 6y = e^4t ; y(0)=2 ...?
Answers
The Laplace transform method is applied to solve the differential equation y' + 6y = e^4t with the initial condition y(0)=2. After transforming, simplifying, and solving for Y(s), we use inverse Laplace transform to find the solution y(t) in the time domain.
Explanation:Laplace transform is a powerful tool in the field of mathematics used for solving differential equations. To solve the given initial value problem y' + 6y = e^4t ; y(0)=2, we can start by taking the Laplace transform of both sides of the equation.
The Laplace transform of y' is sY(s) - y(0) and the Laplace transform of y is Y(s). Therefore, the Laplace transform of y' + 6y gives sY(s) - y(0) + 6Y(s). Given that y(0)=2, this simplifies to sY(s) + 6Y(s) - 2.
On the right-hand side, the Laplace transform of e^4t is 1/(s-4). Thus, we have the equation sY(s) + 6Y(s) - 2 = 1/(s-4).
By solving for Y(s), we can find the inverse Laplace transform to get the solution y(t) in the time domain.
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write an explicit formula for sequence
The Given Sequence is..
3,-6,12,-24..
Answers
(-6).(-2)=12
12.(-2)=-24
.
.
.
q=-2
---------------
a(n)=a(1).q^(n-1)
a(n)=3.(-2)^(n-1)
how are the integers and rational numbers different? ...?
Answers
Rational Numbers: Numbers that can be written as a fraction (or ratio) of two integers.
How many meters are equivalent to 375 centimeters
Answers
Then, 375 cm = 375/100 m = 3.75 m
So, your final answer is 3.75 m
Hope this helps!
Suppose that alpha and beta are int variables. The statement alpha = beta--; is equivalent to the statement(s) ____.
a. alpha = 1 - beta;
b. alpha = beta - 1;
c. beta = beta - 1;
alpha = beta;
d. alpha = beta;
beta = beta - 1