Answer:
[tex]6p - 2q + 4r - 2p + 3s + 5q[/tex]
group the like terms together:
[tex] = (6p - 2p) + ( - 2q + 5q) + 4r + 3s[/tex]
simplify:
[tex] = { \boxed{ \boxed{4p + 3q + 4r + 3s}}}[/tex]
Is 4.06 a rational number
Answer:
Yes
Step-by-step explanation:
A rational number is a number that can be expressed as an integer or the quotient of an integer divided by a nonzero integer. This means that any terminating decimal or mixed number or integer is rational, including 4.06.
can someone help???///
Step-by-step explanation:
1/4 + 1/2 + ( 3 × 3/4) +( 3×1) + (4 × 1 1/4) + 1 1/2 = 12.5 hours
Find the equation of the line that passes through the point
(4, 11) and is perpendicular to y= 4/3x + 7
Answer:
y = -3/4x + 14
Step-by-step explanation:
The slope of a perpendicular line is the opposite reciprocal of the original line.
4/3x -> -3/4x
Now we need to find the y-intercept and we can do that by using the slope intercept form expression [ y = mx + b ].
11 = -3/4(4) + b
11 = -3 + b
14 = b
Put everything we know and solved for back into the expression.
y = -3/4x + 14
Best of Luck!
(-7) (2) (-2) as multiplication
Answer:
28
Step-by-step explanation:
-7*2=-14*-2=28
(-2x^2yz^-2)^4 simplify the problem
Answer:
-8x(8yz)(-8)
Step-by-step explanation:
(-2x^2yz^-2)4
-8x(8yz)(-8)
Solve (3k - 1) (4k + 9) using the FOIL method. QUICK!
Answer:
12k^2 + 23k - 9
Isolate the variable by adding a constant to each side of the equation 4(x-5)=25
Answer:
ummm I think u want the answer x= 11 1/4
Answer:
x = 45/4
Step-by-step explanation:
4(x - 5) = 25
4x - 20 = 25
4x - 20 + 20 = 25 + 20
4x = 45
4x/4 = 45/4
x = 45/4
least to greatest 7.0, 0.07, 0.7, 0.077
Step-by-step explanation:
1. 0.07 is the lowest like 7 cents
2. 0.077 is the second one and closer to 8 cents
3. 0.7 the 3rd and like 70 cents
4. 7.0 the greatest like 7 dollars
How much dirt is there in a hole 12 meters long, 8 meters wide, and 2 meters deep?
Answer:
perimiter if not add cause your doing inside so perimiter
Step-by-step explanation:
WHICH ARE THE FOLLOWING COULD BE THE PERIMETERS OF THE THREE SQUARES BELOW
A 6-foot board is cut into two pieces. If one piece is x feet long, express the other length in terms of x.
Answer:
6 – x ft
Step-by-step explanation:
If a 6-foot board is cut in two pieces, both lengths could be anything that add up to 6 feet since the problem did not specify where the board was cut.
So if one piece is x feet long, the other must be 6 - x feet long because:
x + (6 – x) = 6
Which is not a rational number?
Answer:
Answer: A real number that is not rational is called irrational. Irrational numbers include √2, π, e, and φ. The decimal expansion of an irrational number continues without repeating.
Subtract: (4x3 + 9xy + 8y) – (3x3 + 5xy – 8y)
(4x³ + 9xy + 8y) - (3x³ + 5xy - 8y) =
= 4x³ + 9xy + 8y - 3x³ - 5xy + 8y =
= 4x³ - 3x³ + 9xy - 5xy + 8y + 8y =
= x³ + 4xy + 16y ← the end answer
Piece-wise defined function
been having trouble :,)
Answer:
c.y is the correct answer
Step-by-step explanation:
because its defined in x from the left ×<=1
Benny spent half of his allowance going to the movies. He washed the family
car and earned 8 dollars. What is his weekly allowance if he ended with
13 dollars ?
Let it be x
He spent x/2 dollars then
[tex]\\ \sf\longmapsto \dfrac{x}{2}+8=13[/tex]
[tex]\\ \sf\longmapsto \dfrac{x+16}{2}=13[/tex]
[tex]\\ \sf\longmapsto x+16=13(2)=26[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{26}{16}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{13}{8}[/tex]
[tex]\\ \sf\longmapsto x=1.6\$[/tex]
[tex]\\ \sf\longmapsto Weekly allowance=13+7(1.6)[/tex]
[tex]\\ \sf\longmapsto 13+112=125[/tex]
Plz help before 12 j
Step-by-step explanation:
1 - 5 is not equal to 8
2 - 16 is not equal to 8
3 - 12 is equal to 12
4 - 5 is not equal to 17
5 - 0 is not equal to 4
What is the value of 7−2ℎ, given g = 3 and h = 5?
Answer:
- 3
Step-by-step explanation:
Given
7 - 2h ( substitute h = 5 into the expression )
= 7 - 2(5)
= 7 - 10
= - 3
On evaluating the function at h = 5, we get -
f(5) = - 3.
We have a function -
f(h) = 7 - 2h
We have to find the value of f(h) at h = 5.
Evaluate - f(x) = Sin( [tex]\frac{\pi }{x}[/tex] ) at x = 2.f(x) = Sin( [tex]\frac{\pi }{x}[/tex] )
f(2) = Sin( [tex]\frac{\pi }{2}[/tex] )
f(2) = 1
According to the question, we have -
f(h) = 7−2ℎ
Now, evaluating the function at h = 5, we get -
f(5) = 7 - 2 x 5 = -3
Hence, on evaluating the function at h = 5, we get -
f(5) = - 3.
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which expressions have a difference of 5
a. 2-3
b. 14+ (-9)
c. -5-(-10)
d. 6- (-1)
Answer:
b and c
step by step explanation:
14+(-9)
14-9=5
c) -5-(-10)
-5+10=5
Step-by-step explanation:
Let's check them,
2-3-114+(-9)14-95-5-(-10)-5+1056-(-1)6+17Hence, the expression -5-(-10) and 14+(-9) have a difference of 5 .
PLZZZ HELP
What pattern can you see in the graph of y = 10x for x ≥ 0?
Graphs are used to show the relationship between two variables. In the given graph, as the value of x increases, the value of y decreases.
Given that:
[tex]y = \frac{10}{x}[/tex]
The above function is an inverse function.
This means that:
As the value of x increases, the value of y decreases
Take for instance:
[tex]x= 1[/tex]
[tex]y = \frac{10}{1} = 10[/tex]
Now, [tex]x = 2[/tex]
[tex]y = \frac{10}{2} = 5[/tex]
Notice that:
As x increases from 1 to 2, the corresponding values of y decreases from 10 to 5
Hence, (b) is correct
Read more about graphs at:
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four cities lie along a straight highway in this order city a, city, city c, city d. The distance from city a to city b is 5 times the distance from city b to city c. The distance from city a to city d is 2 times the distance from city a to city d. the distance between city d and city c is 10 miles. What are the distances between the cities?
Dividing the segments and finding the lengths, it is found that the distance between the two cities is of 130 miles.
--------------------------------
We want to find the distance between cities a and d.Due to the cities along the highway, the distance is given by:[tex]ad = ab + bc + cd[/tex]
--------------------------------
The distance from city a to city b is 5 times the distance from city b to city c, and thus:[tex]ab = 5bc[/tex]
In terms of x, [tex]bc = x, ab = 5x[/tex]
--------------------------------
The distance from city b to city c is 2 times the distance from city c to city d, and thus:[tex]bc = 2cd[/tex]
In terms of x, [tex]cd = \frac{x}{2}[/tex]
--------------------------------
The distance between city d and city c is 10 miles, thus:[tex]\frac{x}{2} = 10[/tex]
[tex]x = 20[/tex]
--------------------------------
The other distances are:[tex]bc = x = 20[/tex]
[tex]ab = 5x = 5(20) = 100[/tex]
--------------------------------
The distance between cities a and d is:[tex]ad = ab + bc + cd = 100 + 20 + 10 = 130[/tex]
The distance between the two cities is of 130 miles.
A similar problem is given at https://brainly.com/question/24352869
equal sets are equivalent sets but equivalent sets need not to be equal sets. why?
Step-by-step explanation:
Equal sets are those set which contain same no. elements and have same numbers but equivalent sets are those who contain same number of elements but donot contain exact number. So, they are different.
Which expression(s) have positive values? Choose
don't have to simplify)
1. [(-730)
2. [-(-73)
3. - (75)
4.-|-(-701
Having a hard time understanding this.
Even is positive and negative is odd?
9514 1404 393
Answer:
2. -(-73) is positive
Step-by-step explanation:
It's not too difficult, but you can get wrapped around the axle. Here are the rules:
the opposite of a positive number is a negative numberthe opposite of a negative number is a positive numberThat is, turning a number to its opposite is just changing its sign.
__
If you layer these rules, you find ...
the opposite of (the opposite of a positive number) is a positive number
The first rule tells you the statement in parentheses is a negative number, and the second rule tell you its opposite is a positive number.
That is, a double opposite gets you back where you started. In short, any even number of minus signs cancel each other.
__
The numbers you have listed here* are ...
-730 (negative)-(-73) = 73 (positive)-75 (negative)-(-(-701)) = -701 (negative)_____
* We say "listed here" because we're seeing mismatched parentheses and brackets, so we know something is missing. We're going by the signs and numbers that we do see. YMMV
Simplify the following expression:
2x − 6y + 3x2 + 7y − 14x
3x2 + 12x + y
3x2 − 12x − y
3x2 − 12x + y
3x2 − 12x − 13y
Answer:
3x2-12x+y
Step-by-step explanation:
2x-6y+3x2+7y-14x
3x2 can't combine with anything
combine the 2x and -14x to get -12x
combine the -6y and 7y to get y
In a class of 48 children there are six more girls than boys how many boys are in the class
Answer: there are 16 boys in the class which means not ever girl can have a bf
Step-by-step explanation:
Write a formula for fogoh, where f(x) = x + 1, g(x) = - 3x, and h(x) = 5 - X.
(fogoh)(x) =
Step-by-step explanation:
f(x) = x + 1
g(x) = -3x
h(x) = 5-x
find fogoh
first we find fog
f(g(x)) = -3x + 1
then we find fogoh = -3(5-x ) +1
= -15 + 3x +1
= 3x -14
Fiona drove 489.75 miles on the freeway without any break. She took 7.5 hours. How
much was her average speed for the trip?
could anyone please help me ?
Answer:
please one times search answer in search engines ok
How many gallons are in a pool that holds 758,000 Liters
Answer:
200000 gallons
Step-by-step explanation:
solve each equation for y
2x+y=5
2x-y+=5
x+2y=5
You take random sample of 200 people from Salinas and find that their average income is $48,000 per year
with a standard deviation of $9000. Also assume that population incomes are normally distributed.
Approximately how many people make between $39,000 and $57,000?
X
Answer format: Enter a positive integer
We have that The Total Number of People is
[tex]X\approx 137[/tex]
From the question we are told that
sample of 200
income is $48,000 per year
standard deviation of $9000
Generally the equation for the Ratio of people is mathematically given as
[tex]Y=P(\frac{39000-48000}{9000}<z<\frac{57000-48000}{9000})\\\\\Y=P(z<1))-(1-p(z-1))\\\\Y=0.8413-0.1582\\\\\Y=0.6826[/tex]
Therefore
The Total Number of People is
[tex]X=0.6826*200\\\\X\approx 137[/tex]
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