taking
Y=2x+3____(1)
Y=-3x+3____(2)
making take equation 1 and equate to 2 since y=2x+3
2x+3=-3x + 3
bringing together like terms2x+3x=3-3
5x=0 so
x=0substitute x=0 in equation(2)
y=-3(0)+3
y=3
Which of the following describes the graph of y = StartRoot negative 4 x minus 36 EndRoot compared to the parent square root function?
Answer:
its D
Step-by-step explanation:
got it right on edge
Answer:
d
Step-by-step explanation:
edge 2021
Prove the following statements: (a) For every integer x, if x is even, then for every integer y, xy is even. (b) For every integer x and for every integer y, if x is odd and y is odd then x y is even. (c) For every integer x, if x is odd then x 3 is odd.
Answer and Step-by-step explanation:
(a) Given that x and y is even, we want to prove that xy is also even.
For x and y to be even, x and y have to be a multiple of 2. Let x = 2k and y = 2p where k and p are real numbers. xy = 2k x 2p = 4kp = 2(2kp). The product is a multiple of 2, this means the number is also even. Hence xy is even when x and y are even.
(b) in reality, if an odd number multiplies and odd number, the result is also an odd number. Therefore, the question is wrong. I assume they wanted to ask for the proof that the product is also odd. If that's the case, then this is the proof:
Given that x and y are odd, we want to prove that xy is odd. For x and y to be odd, they have to be multiples of 2 with 1 added to it. Therefore, suppose x = 2k + 1 and y = 2p + 1 then xy = (2k + 1)(2p + 1) = 4kp + 2k + 2p + 1 = 2(kp + k + p) + 1. Let kp + k + p = q, then we have 2q + 1 which is also odd.
(c) Given that x is odd we want to prove that 3x is also odd. Firstly, we've proven above that xy is odd if x and y are odd. 3 is an odd number and we are told that x is odd. Therefore it follows from the second proof that 3x is also odd.
In a group of 60 children, 28 are enrolled in a summer swimming program, 20 signed up for soccer
and 6 are in both. If a child is selected from those enrolled in swimming, what is the probability that the child is signed up for soccer?
plss HELPP!!!
plz help need this! pic in bottom!
Answer:
Step-by-step explanation:
13d + 8 = -1
subtract 8 from both sides
13d = -9
d = -9/13
either keep it in fraction form or if you divide it out it is -0.6923
Multiply and simplify: –3x2y2 • x4
–3x5y2
9x5y2
–3x6y2
–3x5y6
Answer:
Multiplying and simplifying the term [tex]-3x^2y^2 \:.\: x^4[/tex] we get [tex]\mathbf{-3x^6y^2}[/tex]
Option C is correct option.
Step-by-step explanation:
We need to multiply and simplify: [tex]-3x^2y^2 \:.\: x^4[/tex]
Simplifying the term:
[tex]-3x^2y^2 \:.\: x^4[/tex]
While multiplying, the variables with same bases are multiplied: [tex]a^m\:.\:a^n=a^{m+n}[/tex]
In the given question only x^2 and x^4 are variables with same bases, So we get:
[tex]=-3(x^{2+4})y^2\\=-3x^6y^2[/tex]
So, multiplying and simplifying the term [tex]-3x^2y^2 \:.\: x^4[/tex] we get [tex]\mathbf{-3x^6y^2}[/tex]
Option C is correct option.
Mt. Everest is 8,707.37 feet higher then Mt. McKinley. What is the elevation of Mt.Everest.
Answer:
29,028.87
Step-by-step explanation:
Just add 8,707.37 and the height of Mt. McKinley.
what are the factors equivalent to 3/5
Answer:
3/5 are 6/10, 9/15 and 12/20.
Step-by-step explanation:
What is the value of the expression -(-6)?
A.-6 b.-1/6 c.1/6 d.6
Answer:
d. 6
Step-by-step explanation:
Answer:
D: 6
Step-by-step explanation:
The Main Rules Are:
1) A negative number times a negative number is a positive number.
2) A positive number times a positive number is a positive number.
3) A negative number times a positive number is a negative number.
This problem is read as negative 1 times negative 6. Any negative symbol in front of a parentheses would be read as negative 1. In other words, the problem reads -1(-6). Remember, a negative number times a negative number is a positive number. Multiplying negatives is no different than multiplying numbers greater than zero, you just change the sign of the answer. Lets read this as 1 times 6 which is 6. Therefore, -1 times -6 is 6.
Hope that helped, as well as explained the concept :)
h = 4x and x= 3t write h in terms of t
Answer:
h = 12t
Step-by-step explanation:
Its given that x = 3t.
Also its given that h = 4x
Substituting the value of x gives =
h = 4(3t) = 4 × 3t = 12t
18. A set of data has a sample mean of 65.4 and a standard deviation of 1.2. If the sample size is 45, what is the 99% confidence interval of this data?
A. 65.10 and 65.70
B. 65.33 and 65.47
C. 65.05 and 65.75
D. 64.94 and 65.86
Given:
Sample mean = 65.4
Standard deviation = 1.2
Sample size = 45
Confidence level = 99%
To find:
The confidence interval.
Solution:
The formula for confidence interval is
[tex]CI=\overline{x}\pm z^*\dfrac{s}{\sqrt{n}}[/tex]
where, [tex]\overline{x}[/tex] is sample mean, z* is confidence value, s is standard deviation and n is sample size.
Confidence value or z-value at 99% = 2.58
Putting the given in the above formula, we get
[tex]CI=65.4\pm 2.58\times \dfrac{1.2}{\sqrt{45}}[/tex]
[tex]CI=65.4\pm 0.46[/tex]
[tex]CI=65.4-0.46\text{ and }CI=65.4+0.46[/tex]
[tex]CI=64.94\text{ and }65.86[/tex]
Therefore, the correct option is D.
Answer:
the answer is, 64.94 and 65.86
Step-by-step explanation:
Find x & y so that quadrilateral is a parallelogram. (Look at image)
Answer:
x = 20° and y = 12°
Step-by-step explanation:
3y + 15° = 5y - 9° ( being opposite angles of parallelogram)
5y - 3y = 15° + 9°
2y = 24°
y = 24° / 2
y = 12°
Now
5x + 29° = 7x - 11° ( being opposite angles of parallelogram)
7x - 5x = 29° + 11°
2x = 40°
x = 40° / 2
x = 20°
Hope it will help :)❤
Write an equation of the line with a slope of —3 and y-intercept of 0.
Wat es 9+8 am grad to
Answer:
17 tkrnfuebdkrheejshdhfd
11 + 2² - 2
please use pemdas
Answer:
the answer is 13
Step-by-step explanation:
i did PEMDAS
Answer:
13
Step-by-step explanation:
11+2*2-2
2*2=4
4+11=15
15-2=13
13 is the answer
if the exponent was 5 you would put 2*2*2*2*2.
find the area of shaded region from the following figures
Answer:
392?
Step-by-step explanation:
a) 3x + 6 = 27 x =
b) 6x + 3 = 27 x =
c) 27x + 3 = 6 x =
please help
What is the difference b/w "Binomial Series" and "Binomial Theorem"? Also give formula for each.
Note: [ Explanation required according to GRADE 12 (college level) ] .
***Best explanation vl get brainliest***
Step-by-step explanation:
[tex]\huge{\underbrace{\overbrace{\mathfrak{\pink{Answer:}}}}}[/tex]
The binomial theorem states that for some a,b∈R and some k ∈Z+ ,
(a+b)k=∑n=0k(kn)ak−nbn.
The binomial series allows us to use the binomial theorem for instances when k is not a positive integer. The binomial series applies to a given function f(x)=(1+x)k for any k∈R with the condition that |x|<1 . It is stated as follows:
(1+x)k=∑n=0∞(kn)xn .
Note that the binomial theorem produces a finite sum and the binomial series produces an infinite sum.
The binomial series enables us to apply the binomial theorem when k is not a positive integer.
What is the binomial theorem?The binomial theorem (or binomial expansion) in elementary algebra describes the algebraic expansion of binomial powers.
The binomial theorem states that for some a,b∈R and some k ∈Z+ ,
(a+b)k=∑n=0k(kn)ak−nbn.
The binomial series allows us to use the binomial theorem for instances when k is not a positive integer. The binomial series applies to a given function f(x)=(1+x)k for any k∈R with the condition that |x|<1 . It is stated as follows:
(1+x)k=∑n=0∞(kn)xn.
Hence, when k is not a positive integer, we can use the binomial series to apply the binomial theorem.
To know more about the binomial theorem follow
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Circle the fraction equal to 0.1%
Write 119,000,003 in two other forms
Answer:
119000000+3
0.119000003*10^9
A large rock (mass = 4.0 kg) moving at a velocity of 2.0 m/s has a momentum of _______ kg*m/s
Step-by-step explanation:
❁ [tex] \underline{ \underline{ \text{Given} }}: [/tex]
Mass of a large rock ( m ) = 4.0 kgVelocity ( v ) = 2.0 m/s❁ [tex] \underline{ \underline{ \text{ \: To \: find}}}: [/tex]
Momentum ( p )✑ [tex] \underline{ \underline{ \text{Solution}}} : [/tex]
[tex] \boxed{ \underline{ \sf{Momentum \: = \: mass \: \times \: velocity}}}[/tex]
plug the known values :
⟹ [tex] \sf{Momentum = 4.0 \: kg \: \times \: 2.0 \:m/s } [/tex]
⟹ [tex] \sf{Momentum = 8 \: kg \: m/s}[/tex]
[tex] \red{ \boxed{ \boxed{ \tt{⟿ \: Our \: final \: answer : \bold{ \underline{8} }\: kg*m/s}}}}[/tex]
⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆
✑ [tex] \underline{ \underline{ \text{Learn \: more about \: momentum}}}: [/tex]
Imagine that a car and a truck both have the same speed on the road. Which one can stop easily ? Of course , it is hard to stop the truck relative to the car. The reason is that the car and the truck have the same speed bit different masses. Thus , we can say that to stop a heavier body is harder than to stop a lighter one even both of them have the same speed.
If two tennis balls are hit towards you in different velocities , it is not equally easier to stop them. The ball in more velocity is difficult to stop relatively. Thus , we can say that to stop a body in more velocity is harder than to stop a body with less velocity , eventhough they have the same speed.
The physical quantity that describes the quantity of motion of a body is called momentum. The momentum of a moving body or linear momentum is defined as the product of mass & velocity of a moving body.
Mathematically ,
Momentum = mass × velocity
i.e p = m × v
The SI unit of momentum is kg • m/s. Since velocity is a vector quantity and multiplied with mass ( scalar quantity) , momentum becomes a vector quantity. Direction of momentum is the same as velocity.
Hope I helped ! ♡
Have a wonderful day / night ツ
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Find the Mistake
6 - 4(3 - 6x) + 12x
2(3 - 6x) + 12x
6 - 12x + 12x
6
Answer:
Order of operations was not used correctly, Do what is inside the parenthesis first. So use the distributive property first and not subtraction.
Step-by-step explanation:
6-4(3-6x)+12x
6-12+24x+12x-6+24x+12x-6+36x or 36x-6If sin x= 1/2 and cos x= √3/2, the measure of angle x is equivalent to:
Answer:
s
if sin x= 1/2, cos x= root 3/2,
x = 30 degrees
Answer 31,32,33,34,37,39,40,43,46,47 thanks
Plz help me I can’t do this math
Answer:
A. 21/40
B. 8/12 or 2/3
Step-by-step explanation:
Solve the given system using your choice of either graphically or algebraically. Show and explain all work.
6x - 12y = 15
2x - 4y = 6
there is no solution here. i checked, trust me.
The System of Equation have No Solution.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
6x - 12y = 15................(1)
2x - 4y = 6...........(2)
Now, Multiply equation (2) by 3 we get
6x - 12y = 15
6x - 12y = 18
____________
0 = -3
also, 6/2 = -12/ (-4) ≠ 15/6 which is parallel lines.
So, the equation have No solution.
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And yet again another algebra question, 8 POINTS
Answer:
green
Step-by-step explanation:
11a^3−4a^2−14a−7
Answer:
11a³-4a²-14a-7
(The light blue/green one)
Step-by-step explanation:
We'll need to combine like terms (terms with the same variables and exponents)
(4a³-8a-4a²)+(7a³-7-6a)
add/subtract
we'll keep -4a² and -7 as is as there aren't any other terms like them
11a³-14a-4a²-7
put into standard form:
11a²-4a²-14a-7
(The light blue/Green one)
Hope this helps!
9 Which law would you use to simplify the expression (x4) ? O product of powers power of a product power of a quotient power of a power
You would use d) power of a power because:
(Answer:
Which law would you use to simplify the expression (x^4)^9 ?
A)product of powers
B)power of a product
C)power of a quotient
D)power of a power
Step-by-step explanation:
x^4)^9
= (x^(4*(9))
= x^36
hope this helps
The law used to simplify the given expression (x⁴)⁹ is D) Power of a power law.
What are Exponents?Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.
Given expression is (x⁴)⁹.
Power of a power rule is the rule of the exponents which states that if a number in the base is raised to some power, which is again raised to another power, then both the powers will get multiplied leaving the base as same.
We can use this rule here, since the base x is raised to 4, which is again raised to 9.
Using the rule,
(x⁴)⁹ = (x)⁽⁴⁾⁽⁹⁾ = x³⁶
Hence the rule used is power of a power rule.
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Your question is incomplete. The complete question is as given below.
Which law would you use to simplify the expression (x⁴)⁹ ?
A)product of powers
B)power of a product
C)power of a quotient
D)power of a power
Which fractions are equivalent to 3/5
These are the answers.
Answer:
Step-by-step explanation:
3/5 is equivalent with 12/20, 30/50
3*4=12, 3*10=30
5*4=20, 5*10=50
Factor 24j-1624j−1624, j, minus, 16 to identify the equivalent expressions.
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
8(3j-2)8(3j−2)8, left parenthesis, 3, j, minus, 2, right parenthesis
(Choice B)
B
6(4j-2j)6(4j−2j)6, left parenthesis, 4, j, minus, 2, j, right parenthesis
(Choice C, Checked)
C
4(6j-4)4(6j−4)4, left parenthesis, 6, j, minus, 4, right parenthesis
(Choice D)
D
2(12-8)2(12−8)
Answer:
A and C
Step-by-step explanation:
Answer:
A and C
Step-by-step explanation:
How large is 12 than 60