Answer:
she ran 1 1/8 miles
Let h(x) = x + 6 and g(x) = x^2 - 4x + 2
Find h(x) · g(x)
Answer: x³+2x²-22x+12
Step-by-step explanation:
the product of functions: (hg)(x)
Use FOIL to solve this (First Outer Inner Later)
(x+6)(x²-4x+2)
=x³-4x²+2x+6x²-24x+12
=x³-4x²+6x²+2x-24x+12
=x³+2x²-22x+12
Answer:
x³ + 2x² - 22x +12
Step-by-step explanation:
( x + 6 ) ( x² - 4x + 2 ) = x³ - 4x² + 2x + 6x² - 24x + 12
= x³ + 2x² - 22x +12
Simplify: (x²y³z⁻³)⁷(xy⁴)
Answer:
[tex]\huge\boxed{\frac{x^{15}y^{25}}{z^{21}} }[/tex]
Step-by-step explanation:
[tex](x^2y^3z^{-3})^7(xy^4)\\[/tex]
Expanding Parenthesis
[tex](x^{2*7 } y^{3*7}z^{-3*7})(xy^4)\\x^{14}y^{21}z^{-21} * xy^4[/tex]
Combining like terms
[tex]x^{14} * x * y^{21} * y^4 * z^{-21}[/tex]
When bases are same , powers are to be added
[tex]x^{14+1} y^{21+4} x^{-21}[/tex]
[tex]x^{15} y^{25} z^{-21}[/tex]
Neutralizing the negative sign by shifting z to the denominator
[tex]\frac{x^{15}y^{25}}{z^{21}}[/tex]
Answer:
[tex]\huge \boxed{ \frac{x^{15} y^{25}}{z^{21} } }[/tex]
Step-by-step explanation:
[tex](x^2 y^3 z^{-3})^7 (xy^4)[/tex]
[tex]\sf Apply \ exponent \ rule : (a^b)^c=a^{bc}[/tex]
[tex](x^{2 \times 7} y^{3 \times 7} z^{-3 \times 7})(xy^4)[/tex]
[tex](x^{14} y^{21} z^{-21})(xy^4)[/tex]
[tex]x^{14} \times y^{21} \times z^{-21} \times x \times y^4[/tex]
[tex]\sf Apply \ exponent \ rule : a^b \times a^c=a^{b+c}[/tex]
[tex]x^{14} \times x^1 \times y^{21} \times y^4 \times z^{-21}[/tex]
[tex]x^{14+1} \times y^{21+4} \times z^{-21}[/tex]
[tex]x^{15} \times y^{25} \times z^{-21}[/tex]
[tex]\displaystyle \sf Apply \ exponent \ rule : a^{-b} =\frac{1}{a^b}[/tex]
[tex]\displaystyle x^{15} \times y^{25} \times \frac{1}{z^{21} }[/tex]
[tex]\displaystyle \frac{x^{15} y^{25}}{z^{21} }[/tex]
If 26.97 ÷ 6.3 is written in long division form as long division set up where 63 is on the outside of the division symbol and 26970 is on the inside so that the divisor is written as a whole number, where should the decimal point be placed in the dividend?
Answer:
The decimal point should be placed between 9 and 7
i.e
269.70
Step-by-step explanation:
In Long division method, the formula is given as:
Dividend ÷ Divisor = Quotient
We were given
26.97 ÷ 6.3
26.97 = Dividend
6.3 = Divisor
We are told in the question that:
as long division set up where 63 is on the outside of the division symbol and 26970 is on the inside so that the divisor is written as a whole number,
This means, since the Divisor 6.3 is made into an whole number = 63
It means 6.3 was multiplied by 10
6.3 × 10 = 63
In Long division, whatever rule is applied to the Divisor must be applied to the Dividend.
Since 6.3 was multiplied by 10 = 63(whole number), then the dividend must be multiplied by 10
Dividend = 26.97 × 10 = 269.7
Therefore, the place where should the decimal point be placed in the dividend is between 9 and 7
= 269.70
Answer: Between the 9 and the 7
Elena drank 3 liters of water yesterday. Jada drank 3/4 time as much water as Elena
Did jada drink more or less than water than elena
Answer:more cuz it says 3/4 much more
Step-by-step explanation:
I have ₹355.50 in my pocket . i purchased a shirt for ₹ 235.50 and a pair of socks for ₹ 22.65. How much money is left with me now ?? ONLY FULL METHOD NO DIRECT ANSWER PLS
Answer:
97.35
Step-by-step explanation:
355.5 - 235.5 -22.65
I am subtracting 235.5 and 22.65 from 355.5 because I am spending that much money on the things.
=> 355.5 - 235.5 - 22.65
=> 120 - 22.65
=> 97.35 rupees
So, 97.35 rupees is left
find the domain of [tex](4)/(x^2-1)[/tex]
Answer:
See below.
Step-by-step explanation:
We have the rational function:
[tex]\frac{4}{x^2-1}[/tex]
The domains of rational function are the zeros of the denominator. This is because if the denominator equals 0, they the function would be undefined.
Therefore, we need to find the zeros of the denominator. Set the expression in the denominator to zero:
[tex]x^2-1=0[/tex]
Solve for x. Add 1 to both sides:
[tex]x^2=1[/tex]
Take the square root of both sides:
[tex]x=\pm \sqrt1[/tex]
Simplify:
[tex]x=\pm 1[/tex]
So, the domain is all real numbers except for x=-1 and x=1.
In interval notation, this is:
[tex](-\infty,-1)\cup(-1,1)\cup(1,\infty)[/tex]
This is interpreted as all values until -1 not including -1 until all values until 1 not including 1, and then all values there on after.
In set notation, this is:
[tex]\{x|x\in\mathbb{R}, x\neq-1, 1\}[/tex]
Answer:
[tex]\large \boxed{\mathrm{All \ real \ numbers \ except} \ x=-1 \ \mathrm{and} \ x=1}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{4}{x^2-1}[/tex]
The domain of a rational function is all the real numbers except the numbers for which the denominator is equal to 0.
Let the denominator equal to 0.
[tex]x^2-1=0[/tex]
Solve for x.
[tex]x^2 =1 \\ \\ \\ x= -1 \ \mathrm{or} \ x=1[/tex]
When x = -1 and x = 1, the function is undefined.
The domain of the function is all real numbers except x = -1 and x = 1.
explain why do you think the Palestinians turn to international terrorism?
Answer:
La paloma blanca ya está vieja,
está allí hace muchos años, ¿sabían?
La paloma blanca ya está vieja,
Otros pájaros de su edad ya tienen nietos.
La paloma blanca ya está vieja,
déjenla bajar de los afiches y pasar al palomar en el jardín.
La paloma blanca ya está vieja,
ya llegó el momento de que también ella tenga un pichón.
La paloma blanca ya está vieja,
demasiadas guerras hacen fila frente a ella.
La paloma blanca ya está vieja,
la rama del olivo se le seca en el pico.
La paloma blanca ya está vieja,
y cada día que pasa está menos blanca y más pálida.
La paloma blanca ya está vieja,
díganle que se acabó el agua y que está libre...
Step-by-step explanation:
espero que te sirva ponme la coronita plis
does anyone play cod moblie?
Answer:
yes ggggggggggggggggggggggggggggggggggggggggggggggggggggg
Step-by-step explanation:
lowest levels of emissions
The nitrogen cycle is the biogeochemical cycle by which nitrogen is converted into multiple chemical forms as it circulates among atmosphere, terrestrial, and marine ecosystems. The conversion of nitrogen can be carried out through both biological and physical processes. Important processes in the nitrogen cycle include fixation, ammonification, nitrification, and denitrification. The majority of Earth's atmosphere (78%) is atmosphere nitrogen, making it the largest source of nitrogen. However, atmospheric nitrogen has limited availability for biological use, leading to a scarcity of usable nitrogen in many types of ecosystems.
Answer:
Yuh
Step-by-step explanation:
f(x) = 1/x
g(x) = x − 4
Can you evaluate (g ○ f)(0)? Explain why or why not.
Answer:
(g ○ f)(0) is invalid
Step-by-step explanation:
g(x) = x − 4
f(x) = 1/x
(g ○ f)(x) = 1/x - 4
(g ○ f)(0) can not be evaluated, because if x = 0, 1/x becomes invalid.
Answer:
To evaluate the composition, you need to find the value of function f first. But, f(0) is 1 over 0, and division by 0 is undefined. Therefore, you cannot find the value of the composition.
Step-by-step explanation:
This is the sample response on edge
Hey, Would someone help me on this. Thanks xx... Here are 4 digits: 6 3 5 9 Using only 3 of the digits write a number that is closest to 600. You can only use each of the digit once . GCSE MATHS NUMBER QUESTION
Answer:
596
Step-by-step explanation:
closest to 600.
this means we can narrow the first digit of all 5he three digits to be either 5 or 6:
5_ _
or
6_ _
however, when considering the closest number to 600 when starting with 6, we realise that we can only make 630.
when looking at starting with 5, we can make 590, much closer to 600.
so now, we have deduced it has to become 590
however, we can use 3 digits. so, using a 6, the next highest number, we can confidently rest our case.
Answer:
593! \(-^0^-)/
Step-by-step explanation:
600 - 593 = 7
you will haave 7 to get to the humber 600!
✨I hope this helped o(*￣▽￣*)o✨
what is the value of the expression when s=2 and t=1.5 -3|5-s3|+3t
Answer:
The value of the given expression is -4.5
Step-by-step explanation:
We need to find the value of the expression [tex]-3|5-s^3|+3t[/tex] when s=2 and t=1.5
Putting the values of s and t in the given expression.
So,
[tex]-3|5-s^3|+3t=-3|5-(2)^3|+3\times 1.5\\\\=-3|5-8|+4.5\\\\=-3|-3|+4.5[/tex]
We know that, |-a|=a
So,
[tex]=-3|-3|+4.5\\\\=-3(3)+4.5\\\\=-9+4.5\\\\=-4.5[/tex]
So, the value of the given expression is -4.5
Answer:
-13.5 is the correct answer.
Step-by-step explanation:
What is this answer help me ASAP
Answer:
Step-by-step explanation:
Use PEMDAS rules
In this problem, according to PEMDAS , inner brackets should be solved the division and finally multiplication.
3[ (15 - 3)² ÷ 4] = 3[(12)² ÷ 4] {Now find the square of 12}
= 3[144 ÷ 4] {Now do division}
=3 * 36 {Finally multiplication}
= 108
Which point could be removed in order to make the relation a function?
(-4, 3), (-5, 6), (1, 0), (-4, 5), (9,5), (0, -7)
Answer:
Graph it out on desmos and then see which one is out of order
Step-by-step explanation:
desmos graphing
Simplify -5(20 + 3). 85 -115 -97 -103
Answer:-115
Step-by-step explanation:
Use distributive property!
-5 times 20 = -100
-5 times 3 = -15
-100 - 15 = 115
Answer: the answer is -115
Step-by-step explanation:
Ralph is an electrician. He charges an initial fee of $32, plus $33 per hour. If Ralph earned $197 on a job, how long did the job take?
Answer:
5 hourss
Step-by-step explanation:
197-32= 165
165/33
Answer:
5 hours
Step-by-step explanation:
Ralph earned $197 in total but with an initial fee of $32 so,
197 - 32 = 165
$165 is the amount he made from the hourly fee alone. So let's divide the total by the hourly fee.
165 ÷ 33 = 5.
So the job took 5 hours.
4 (px+1)=64
the value of x in terms of p is
the value of x when p is -5 is
Answer: x= -3
Step-by-step explanation:
4(px+1)=64
4(-5x+1)=64
-20x+4=64
-4. -4
-20x. =60
-20. -20
x = -3
Translate the following into an algebraic expression: The number that is 40% more than five more than a number a.
Answer:
The translation would be
X = 40% + 5 + A
Step-by-step explanation:
First, translate the words, is, more than and 'the number'.
Is means equals (=).
More Than means plus (+).
'the number' can be x.
Now, put it together.
X(The Number) =(Is) 40% +(more than) 5 +(more than) A(a number)
I hope this helps!!
The expression of the number that is 40% more than five more than a number A will be mathematically given as 40% + 5 + A.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The concept of algebraic expressions is the use of symbols or alphabets to represent numbers by providing their precise values.
Translate the following into an algebraic expression:
The number that is 40% more than five more than a number A.
Then the expression will be,
⇒ 40% + 5 + A
The expression of the number that is 40% more than five more than a number A will be 40% + 5 + A.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
8. In a circle of any size, what ratio does
pi (TT) represent?
A. radius: diameter
B. circumference: area
C. circumference: radius
D. circumference: diameter
What is the value of X in the equation 1/5X—2/3yequals 30when y equals 15
Answer:
x = 50
Step-by-step explanation:
y = 15
1/5X - 2/3y = 30
1/5x - (2/3 x 15) = 30
1/5x - (10) = 30
1/5x = 30 - 20
1/5x = 10
x = 50
A repair bill for your car is $553. The parts cost $265. The labor cost is $48 per hour. Write and solve an equation to find the number of hours of labor spent repairing the car. Record the solution (answer),
Answer:
6 hours
Step-by-step explanation:
Let the labor hours be x.
The bill comprises of parts cost plus labor cost. Labor cost is hours times the cost per hour. Then we have equation:
265 + 48x = 55348x = 553 - 26548x = 288x = 288/48x= 6So the answer is 6 hours.
Apply the distributive property to create an equivalent expression.
6
(
5
x
−
3
)
=
6(5x−3)=6, left parenthesis, 5, x, minus, 3, right parenthesis, equals
Answer:
if you want x it equals 4/5
Step-by-step explanation:
x=4/5
Answer
= 30x - 18
Hope it helps
There are 100 or 102 pennies in a dollar. How many pennies are there in a million (106) dollars? Write your answer using exponents.
Answer:
10^8 pennies in a million dollars.
Step-by-step explanation:
I will work with the accepted number of pennies in a dollar: 100.
Then the number of pennies in a million dollars is
p = 100*10^6, or 1*10^8, or just 10^8.
A farmer takes 8 days to cultivate a plot of land i ha in area. What area
of land will he cultivate in 20 days working at the same rate?
The farmer took 8 days to cultivate one and a half hectares (15000 m^2)
so now divide 15000/8 which equals to 1875. so now we know that it takes him one day to cultivate 1875 m^2 which is 0.1875 hectares.
20 days = 0.1875 x 20
= 3.7500 hectares
hope it helped!
Stephanie is registering her son for swim lessons. There is a one time $45 registration fee plus a $20 fee per lesson. Stephanie paid a total of $225. For how many lessons did Stephanie register? Write an equation to represent the problem and solve it.
Answer:
the equation is 45 + 20x= 225 and her son had a total of nine (9) classes.
Step-by-step explanation:
45 + 20x = 225 is the equation.
to solve it, we do 225-45=180
then, 180/20= 9
so x = 9
To rent a car for one week, a car rental company charges a $200, 200 base price as well as $0.45. She has a 275 budget. Which of the following is a possible number of miles that Jennifer can drive without exceeding her budget? A) 166 miles B) 167 miles C) 168 miles D) 169 miles
Answer:
A
Step-by-step explanation:
base 200 dollars
200+0.45 x ≤ 275
for 166 miles: 200+0.45(166)=274.7 it does not exceed the budget
Answer:
Your correct answer is option A.
Step-by-step explanation:
Your base is $200
200+0.45 x ≤ 275
for the 166 miles: 200+0.45(166)=274.7
If ∠R measures 18°, q equals 9.5, and p equals 6.0, then which length can be found using the Law of Cosines?
I hope this helps you
If R measures 18°,q equals 9.5 ,p equals 6.0 then we can find the length of PQ which is r using the law of cosines.
What is law of cosines?In trigonometric ratios law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles. Law of cosines is as under:
[tex]c^{2} =a^{2} +b^{2} -2ab cos d[/tex]
where c is the side opposite to the angle given, a,b are the other sides and d is the angle given.
How to find length of triangle?We have been given ∠R=18°, q equals 9.5 , p equals 6.0 then the length r can be calculated as under:
[tex]r^{2} =p^{2} +q^{2} -2pq cos 18[/tex]
r=[tex]\sqrt{p^{2} +q^{2} -2pq cos 18}[/tex]
Hence the length of r is equal to [tex]\sqrt{p^{2} +q^{2} -2pq cos 18}[/tex].
Learn more about trigonometry at https://brainly.com/question/24349828
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30+2k+5k=100
What is k?
Answer:
k = 10
Step-by-step explanation:
30+2k+5k=100
Combine like terms
30 + 7k = 100
Subtract 30 from each side
30+7k-30 = 100-30
7k = 70
Divide each side by 7
7k/7 = 70/7
k = 10
Answer:
k=10
Step-by-step explanation:
We are given the equation:
30+5k+2k=100
We want to find k, therefore we must isolate k on one side of the equation.
First, combine like terms on the left side of the equation. 5k and 2k can be added together.
30+5k+2k=100
30+(5k+2k)=100
30+7k=100
30 is being added to 7k. The inverse of addition is subtraction. Subtract 30 from both sides of the equation.
30-30+7k=100-30
7k= 100-30
7k= 70
k is being multiplied by 7. The inverse of multiplication is division. Divide both sides by 7.
7k/7=70/7
k=70/7
k= 10
The solution to the equation 30+5k+2k=100 is k=10
100 points and brainest Plz help me PLZ
Answer:
○ C. The lines are perpendicular.
Step-by-step explanation:
In order for equations to be perpendicular, their rate of changes [slopes] must be OPPOSITE MULTIPLICATIVE INVERSES, which in this case is so:
− to +}
> OPPOSITE
+ to −}
MULTIPLICATIVE INVERSE [RECIPROCAL]
I am joyous to assist you at any time.
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What is the product of seven plus two and eight minus two
Answer:
54
Step-by-step explanation:
Answer:
x = 54
Step-by-step explanation:
product will equal x
x = (7+2) * (8-2)
x = (9) * (6)
x = 54
Hope this helps! :)
(pls mark brainliest)
en un parque de diversiones,el túnel del miedo sube ahasta alcanzar una altura de 50 metros sobre el piso después, cae 65 m hacia un túnel subterráneo ¿cuál es la diferencia entre la elevación del túnel contra la del túnel subterráneo
Responder:
15mExplicación paso a paso:
Deje que el nivel del suelo del parque de atracciones sea cero. Si el túnel del miedo se eleva a una altura de 50 metros sobre el suelo, entonces la distancia desde el nivel del suelo hasta la altura de 50 m sobre el suelo será 50 + 0 = 50 m.
Del mismo modo, si el túnel cae 65 m en un túnel subterráneo, la distancia desde el nivel del suelo hasta la distancia de 65 m bajo tierra será de 65 m.
De ahí la diferencia entre la elevación del túnel y la del túnel subterráneo = 65 m - 50 m = 15 m