The domain of the composite function (cd)(x), where c(x) = 5/(x-2) and d(x) = x + 3, includes all real values except x = 2 due to a division by zero condition in the function c(x).
Explanation:In this problem, we need to figure out the domain of the combined function (cd)(x). The domain constitutes the set of all real values of x that make the function defined. The first function, c(x) = rac{5}{x-2}, isn't defined for x = 2 because it would lead to a division by zero. The second function, d(x) = x + 3, is defined for all real values since it's a linear function.
When these functions are multiplied to form (cd)(x), the domain will be the intersection of the individual function domains. This means, with c(x) having a restriction with x != 2, the composite function (cd)(x) will maintain this restriction despite d(x) being defined for all real values. So the domain for (cd)(x) is all real values except for x = 2.
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10 1/2 - 5 2/3 pleaseee
The standard error of the mean is calculated using which two quantities:
How do I work out 5x+2+3x
Please help me with both questions thank you.
Write an expression that is equivalent to 3/5 (3y+15)
3/5y +9, 3/5y+15, 9/5y+9, 9/5y + 15?
Sweet T purchased a new pair of pants to wear to the battle of the bands on sale at 40 % off . He saved $20 . What was the regular price of the jeans ?
Write an equation of the line in slope-intercept form that crosses the y-axis at 3 and increases at a rate of 1?
y = x - 3
y = x + 3
y = -x + 3
y = 3x + 1
Strawberry chews cost $0.03 more than lollipops. Sarah pays $0.54 for 2 strawberry chews and 4 lollipops. What is the price of a strawberry chew?
33 is 75% of what number?
A computer is programmed to scan the digits of the counting numbers. For example, if it scans
1 2 3 4 5 6 7 8 9 10 11 12 13
then it scanned 17 digits altogether. If the computer begins it's task and scans the first 1392 digits starting with 1, what is the last counting number scanned?
A packaging plant uses a machine that can bottle 30 fluid ounces of shampoo in 12 seconds. How many fluid ounces of shampoo can be bottled per second?
A) 2/5 fluid ounces
B) 19 fluid ounces
C) 2 ½ fluid ounces
D) 360 fluid ounces
How is volume calculated given mass and density?
Sum of mass and density
Mass divided by density
Mass multiplied by density
Difference of mass and density
Answer:
B.
Step-by-step explanation:
when trying to calculate the volume when being given the M or the mass, and the D or density, hears is the calculations needed for that: P=M/V, which also means volume is the mass divided by the volume, or density. Hence, the answer would be mass divided by density. hope this helps!!! (also, please give me brainliest.)
Volume is calculated given mass and density is Mass divided by density.
What is volume?
Volume is a measure of occupied three-dimensional space. It is often quantified numerically using SI derived units (such as the cubic meter and liter) or by various imperial units (such as the gallon, quart, cubic inch).
Mass is the quantity of matter in a physical body. It is also a measure of the body's inertia, the resistance to acceleration (change of velocity) when a net force is applied.
Density is defined as a measure of how compact the mass in a substance or object is.
Since, density of a substance is measure as the ratio of its mass to its volume,
Density = Mass/Volume
or, Density x volume = mass
or, Volume = Mass/Density
Hence,Volume is calculated given mass and density is Mass divided by density.
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An airplane flies at a constant speed. It can travel a distance (
d. of 1,800 kilometer in 2 hours(t) Write an equation in the form is d=rt that represents the relationship between distance (
d. and time (t), where r is the constant of proportionality
The difference of two numbers is 16 and the sum of their squares is 130. What are the numbers.
The area of a garden is 12.9 square feet. Each square foot of the garden needs to have 2.6 pounds of soil.How many pounds of soil are needed for the garden?
need help.... what is half of 1 3/4 IN A FRACTION plzzzzz
What is the value of x? 3x-3
The value of x in the given figure is 19.
What are Vertical angles?Vertical angles are the angles formed when two lines intersect each other. The opposite angles formed by these lines are called vertically opposite angles.
Given that, a figure, we need to find the value of x,
Here, angles, 3x-3 and [6(x-10)] are vertical angles,
We know that,
Vertical angles are equal in measures,
Therefore,
3x-3 = [6(x-10)]
3x-3 = 6x-60
3x = 57
x = 19
Hence, the value of x is 19.
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The complete question is attached
What is 65.6 divided by 8
PLEASE ANSWER ASAPPPPPPPPPPPPPPPPPP
Share the advantages and disadvantages of the different methods for solving quadratic equations that you have learned. Share special techniques that you have developed along the way. For example, explain to your classmates your technique for remembering the quadratic formula (song, rhyme, rhythm, etc.) to help others remember it as well.
The factors of a quadratic equation will be (qx + r) and (sx+t). If the solutions are all integers, you may be able to quickly find q, r, s and t. The advantage of this method is that factoring can be very fast. The disadvantage is that factoring may not work; for instance, factoring will not find solutions that are not integers.
Completing the SquareCompleting the square is a multistep process. The main idea is to convert the original equation into one of the form (x + a)^2 = b, where a and b are constants. The advantage of this method are that it always works and that completing the square gives some insight into how algebra works more generally. The disadvantage is that this method is complex.
Quadratic FormulaThe quadratic formula is x = (-b +- (b*2 - 4ac)^.5))/2a. The advantages of this method are that the quadratic formula always works and is straightforward. The disadvantages are that the formula provides no insight and can become a rote technique.
GuessingSometimes, you can guess an approximate solution. Then, you can increase or decrease your guess, depending on whether the result from your first guess is too big or too small. The advantages of this method are that guessing can be very fast if you guess right, and can get an approximate answer quickly, if that is all you need. The disadvantage is that sometimes you won't be able to make a good guess .
(-11/2x+3)-2(-11/4x-5/2)=expression in simplest form needed!!
The given expression in its simplest form is 8.
The given expression is (-11x/2+3)-2(-11x/4-5/2).
We need to write the given expression in the simplest form.
What is an expression in its simplest form?A simplified expression is one in which each base is written only once, there are no negative exponents and no parentheses. Simplifying an expression makes it easier to solve complex problems, and using the rules for exponents makes simplifying expressions easier.
Now, the given expression can be simplified as follows:
(-11x/2+3)-2(-11x/4-5/2)
=-11x/2+3+22x/4+10/2
=-11x/2+22x/4+3+5
=-22x/4+22x/4+8
=8
Therefore, the given expression in its simplest form is 8.
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Use your properties of addition to find 37 + 58 mentally show your steps and identify the properties that you used
Drinks at the fair cost 2.50$ use an equation to represent the relationship between the numbers of drinks bought ad the cost define your variable and make a table to help write the equation
Answer:
[tex]C=2.5d[/tex]
Step-by-step explanation:
Your variable is always the number of drinks that you are going to drink, and the independent clause is the cost of the drink, which is $2.5.
Drinks Cost
1 2.5
2 5
3 7.5
4 10
5 12.5
SO now you know that the cos of 3 drinks is 7.5 and that can be escalated to any number that you want just by puttin the number of drinks that are going to be bought and multiply it by the cost.
Solve the inequality
-8x - 10 > 7x + 20
A.) x < - 30
B.) x > - 2
C.) x > - 30
D.) x < - 2
To solve the inequality -8x - 10 > 7x + 20, combine like terms, isolate the variable term, and solve for x. The correct answer is D) x < -2.
Explanation:We need to solve the inequality -8x - 10 > 7x + 20.
First, let's combine like terms by adding 8x to both sides. This gives us -10 > 15x + 20. Next, subtract 20 from both sides to isolate the variable term. This gives us -30 > 15x. Finally, divide both sides by 15 to solve for x. This gives us x < -2.Therefore, option D.) x < -2 is the correct answer.
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15 POINTS NEED ANSWER ASAP!! WILL GIVE BRAINLIEST TO FIRST ANSWER
Which mass is greatest? a. 179,000 mg c. 75 g b. 0.043 kg d. 23,481 cg
Can someone please please help me.
Part A: Solve –vp + 40 < 95 for v. Show your work. (4 points) Part B: Solve 8w – 3r = 45 for r. Show your work. (6 points)
Answer:
A)[tex]v>-\frac{55}{p}[/tex]
B)[tex]r=\frac{8}{3}w-15[/tex]
Step-by-step explanation:
A)
The inequality is
–vp + 40 < 95
Subtract 40 to both sides
–vp < 95 - 40
-vp< 55
Now, divide both sides by -p. Whenever, we divide by a negative number inequality sign changes
[tex]v>\frac{55}{-p}\\\\
B)
The given equation is
[tex]8w-3r=45[/tex]
Subtract 8w to both sides
[tex]-3r=45-8w[/tex]
Divide both sides by -3
[tex]r=-15+\frac{8w}{3}\\\\r=\frac{8}{3}w-15[/tex]
Answer:
Step-by-step explanation:
Part A:
The inequality is–vp + 40 < 95.
Work:
We subtract 40 to both sides = –vp < 55. Now, we divide both sides by -p. = v > 55/-p
Part B: Inequality is 8w − 3r = 45.
Work:
We Subtract 8w to both sides = 3r = 45 - 8w. Now, we divide both sides by -3 = r = -15 + 8w and then r = 8/3w - 15.
Which phrase best describes a rock? A. a chemical arranged in a lattice B. a gabbro of minerals C. a mixture of crystals D. a fire-formed crystal
I have a Brainliest for math
NEED HELP ASAP 30 POINTS WILL BE GIVEN TO BRAINLIEST
The coordinates of the vertices of △GHJ are G(−1, 3), H(1, 2), and J(−3, −1)
Drag and drop the choices into each box to correctly complete the sentences
been trying to solve this but just don't get it I keep getting it wrong on my homework
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
[tex]G(-1,3)\ H(1,2)\ J(-3,-1)[/tex]
Step 1
Find the slope GH
[tex]G(-1,3)\ H(1,2)[/tex]
substitute in the formula
[tex]m=\frac{2-3}{1+1}[/tex]
[tex]m=\frac{-1}{2}[/tex]
[tex]mGH=-\frac{1}{2}[/tex]
Step 2
Find the slope HJ
[tex]H(1,2)\ J(-3,-1)[/tex]
substitute in the formula
[tex]m=\frac{-1-2}{-3-1}[/tex]
[tex]m=\frac{-3}{-4}[/tex]
[tex]mHJ=\frac{3}{4}[/tex]
Step 3
Find the slope JG
[tex]J(-3,-1)\ G(-1,3)[/tex]
substitute in the formula
[tex]m=\frac{3+1}{-1+3}[/tex]
[tex]m=\frac{4}{2}[/tex]
[tex]mJG=2[/tex]
Step 4
Verify if triangle GHJ is a right triangle
we know that
if two lines are perpendicular, then the product of their slopes is equal to minus one
so
[tex]m1*m2=-1[/tex]
compare slope GH with slope JG
we have
[tex]mGH=-\frac{1}{2}[/tex]
[tex]mJG=2[/tex]
[tex]-\frac{1}{2}*2=-1[/tex] -----> side GH and side JG are perpendicular
The triangle GHJ is a right triangle
The answer in the attached figure
Answer:
- 1/2, 3/4, 2, is, two of these slopes have a product of -1
Step-by-step explanation:
Write an equivalent expression using the multiplicative identity property
For an expression equivalent to, let's say, -8, you could do: -2 + -6.