Answer:
[tex]36m {}^{2} - 27mn - 10m + 2n[/tex]
Step-by-step explanation:
Use distributive law.
Work with one bracket at a time.
Watch out for the signs!
x = 4y + 3, 2x + y = -3
System of Equations
Answer:
x = -1, y = -1
Step-by-step explanation:
x = 4y + 3
2x + y = -3
We have the value of x in terms of y, so we substitute that in 2x + y = -3:
2(4y+3)+y = -3
8y+6+y = -3
9y = -9
y = -1
Now we substitute the value of y in x = 4y + 3:
x = 4(-1)+3
x = -1
Answer:
y = -1 & x = -1
Step-by-step explanation:
x = 4y + 3 .... ( 1)
2x + y = -3 ........(2)
substitute the 4y + 3 as x in the second equation
2( 4y + 3) + y = -3
simplify and solve for y
8y + 24 + y = -3
9 y + 24 = -3
9y = -3 -24
9y = -27
y = -27 / 9
y = -1
Now, substitute the value of y -1 in first equation
x = 4y + 3
solve for x
x = 4 ( - 1 ) + 3
x = -4 + 3
x = -1
the green line below _____ check all that apply
Answer:
A, C, and D
Step-by-step explanation:
Answer:
the answer is A, C And D
Step-by-step explanation:
ADC
please help asap!!!!
Answer:
Step-by-step explanation:
Given functions are,
f(x) = [tex]\sqrt{x} +3[/tex]
g(x) = 4 - [tex]\sqrt{x}[/tex]
22). (f - g)(x) = f(x) - g(x)
= [tex]\sqrt{x}+3-(4 - \sqrt{x} )[/tex]
= [tex]\sqrt{x} +3-4+\sqrt{x}[/tex]
= [tex]2\sqrt{x}-1[/tex]
Domain of the function will be [0, ∞).
23). (f . g)(x) = f(x) × g(x)
= [tex](\sqrt{x}+3)(4-\sqrt{x} )[/tex]
= [tex]4(\sqrt{x}+3)-\sqrt{x}(\sqrt{x}+3)[/tex]
= [tex]4\sqrt{x} +12-x-3\sqrt{x}[/tex]
= [tex]-x+\sqrt{x}+12[/tex]
Domain of the function will be [0, ∞).
What is the center of the circle:What is the center of the circle: (x+1)^2+(y-12)^2=25
1. 25
2. (1, -12)
3. 5
4. (-1, 12)
Answer:
option 4
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x + 1)² + (y - 12)² = 25 ← is in standard form
with centre = (- 1, 12 ) and radius = [tex]\sqrt{25}[/tex] = 5
William needs to work out the size of angle Y in this diagram
One of William’s reasons are wrong.
Write down the correct reason.
Answer:
because internal staggal angles are equal
Step-by-step explanation:
The first reason is wrong.
Angle EGH and DEG are internal staggal angles:
the two angles are on both sides of the cut line EG, and the two angles are between the two divided lines.
{the definition of internal staggal angle}
Let u = <-7, -2>. Find 8u.
Answer:
<-56, -16>
Step-by-step explanation:
multiply the values by 8 because that's what the question tells you to do
Pls help plz help pls plz help plz plz help
Answer:
The first choice, Equation A and equation C.
Step-by-step explanation:
The lines A and C are intersecting in the point (0,8). That is the solution for those lines.
Let x=−1−5i and y=5−i. Find x+y
Answer:
[tex]4-6i[/tex]
Step-by-step explanation:
Substitute the value of the variable into the expression and simplify.
Write using exponents. Rewrite the expression below in the same sequence.
Answer:
[tex]10^2a^2b[/tex]
Step-by-step explanation:
Exponents are a way of shortening multiplication statements. The exponent represents how many times a term is being multiplied by itself. So, when two terms have the same base it can be written with exponents. For example. 10*10 can be written as [tex]10^2[/tex] because 10 is being multiplied 2 times. Therefore, if we do this with every term you get [tex]10^2a^2b[/tex].
Find the probability of exactly three successes in six trials of a binomial experiment in which the the probability of is 50%.
Start by doing the binomial expansion of (x+y)^6 where x represents success. This is
(x^6y^0) + 6(x^5y^1) +15(x^4y^2) +20(x^3y^3) +15(x^2y^4) +6(x^1y^5) +(x^0y^6)
We are interested in the x^3y^3 term which represents exactly 3 sucesses. Since the probalbility of sucess and failure are both .5 we should be able to figure this out just using the coefficients of the terms which is
20/64 = .3125 which is 31.25%
The probability of exactly three successes in six trials of a binomial experiment in which the the probability of is 50% is 31.25%.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
Here,
Probability =(³₆×(50%)³×(1-50%)⁶⁻³
= 20×(1/2)³×(1/2)³
= 20× 1/64
= 20/64
= 5/16
= 0.3125
= 0.3125×100
= 31.25%
Therefore, the probability of exactly three successes in six trials of a binomial experiment in which the the probability of is 50% is 31.25%.
To learn more about the probability visit:
https://brainly.com/question/11234923.
#SPJ5
solve for x. Round to the nearest tenth, if necessary.
Answer:
7.1
Step-by-step explanation:
We used SOHCAHTOA because it's a right angle triangle
So because we have an angle with an adjacent of 6.3 and hypotenuse of x
We will use
Cos=adjacent /hypotenuse
STREAM WALLS BY LOUIS TOMLINSON
Answer:
OMG I LOVE LOUIS SO MUCH HE IS SO PERFECT
Step-by-step explanation:
1. What does each expression equation represent in this situation? Q(18) b. Q(30) = 27.5
Answer:
Step-by-step explanation:
Q(18) is a direction. It means that wherever you see a variable like x on the right, you put an 18 in for it. For example Suppose the right looked like
Q(x) = x^2 + 10 Then Q(18) would mean
Q(18) = 18^2 + 10
Q(18) = 324 + 10
Now we come to the second equation (b)
What that means is that after you do all the calculations, your answer is
27.5
So for the first question(a) Q(18) = 334
A is the direction of what to do. It is the question.
B is the answer
Please help!!!!!!!!!!!!!!!!
Given:
For two events X and Y,
[tex]P(X)=\dfrac{2}{3}[/tex]
[tex]P(Y)=\dfrac{2}{5}[/tex]
[tex]P(X|Y)=\dfrac{1}{5}[/tex]
To find:
The probabilities [tex]P(Y\cap X), P(Y)\cdot P(X)[/tex].
Solution:
Using the conditional probability:
[tex]P(X|Y)=\dfrac{P(Y\cap X)}{P(Y)}[/tex]
[tex]P(X|Y)\times P(Y)=P(Y\cap X)[/tex]
Substituting the given values, we get
[tex]\dfrac{1}{5}\times \dfrac{2}{5}=P(Y\cap X)[/tex]
[tex]\dfrac{2}{25}=P(Y\cap X)[/tex]
And,
[tex]P(Y)\times P(X)=\dfrac{2}{5}\times \dfrac{2}{3}[/tex]
[tex]P(Y)\times P(X)=\dfrac{4}{15}[/tex]
Therefore, the required probabilities are [tex]P(Y\cap X)=\dfrac{2}{25}[/tex] and [tex]P(Y)\times P(X)=\dfrac{4}{15}[/tex].
What is the domain of the ordered pairs shown in the graph?
{–2, –1, 0, 1}
{–2, –1, 0, 2}
{–1, 0, 1, 2}
{–2, 0, 2, 3}
Answer:
-2 0 2 3 this is the domain of the ordered pairs shown in the graph above
Evaluate the expression.
32 + 6 x 22-42 - 23
Answer:
25
Step-by-step explanation:
You need to simplify
.
.
.
.
................... :)
Answer:
D
Step-by-step explanation:
9+24-16+8= 25
What form do we place a quadratic in to find the Vertex, or "extrema” of a quadratic function?
Answer:
The vertex form of the quadratic function, f(x) = a·(x - h)² + k
Step-by-step explanation:
The general form of a quadratic function is given as follows;
f(x) = a·x² + b·x + c
The vertex form of the quadratic function is f(x) = a·(x - h)² + k
Where;
(h, k) = The coordinates of the vertex of the parabola
h = -b/2·a, k = f(h)
Can someone help me with this math homework please!
Answer:
[tex]j = - 0.45[/tex]
Step-by-step explanation:
Combine like terms and apply the rules of algebra.
[tex]2.25 - 11j - 7.75 + 1.5j = 0.5j - 1[/tex]
[tex] - 5.5 - 9.5j = 0.5j - 1[/tex]
[tex] - 9.5j = 0.5j + 4.5[/tex]
[tex] - 10 j= 4.5[/tex]
[tex]j = - 0.45[/tex]
Answer: j = -0.45
Step-by-step explanation:
Step 1: Combine like terms
2.25 - 11j - 7.75 + 1.5j = 0.5j - 1
-5.5 - 9.5j = 0.5j - 1
Step 2: isolate your variable
-5.5 - 9.5j = 0.5j - 1
Subtract 0.5j from both sides
-5.5 - 10j = -1
Add 5.5 to both sides
-10j = 4.5
Divide both sides by -10
j = -0.45
Can someone help me with this math homework please!
Answer:
Step 1 & Step 4 are true statements
Step-by-step explanation:
Explanation in progress! Enjoy your answer first then come back for the explanation once you've done it (●'◡'●)
can someone help me state domain and range
Answer:
The domain and range is (as inequalities):
[tex]x\leq 3\text{ and } -\infty < y < \infty[/tex]
Or in interval notation:
[tex]D=(-\infty, 3]\text{ and } R=(-\infty, \infty)[/tex]
Step-by-step explanation:
Recall that the domain is simply the set of all x-values of the function.
From the graph, we can see that the function is defined for all x-values less than or equal to 3.
Therefore, the domain is:
[tex]x\leq 3[/tex]
The range is the set of all y-values of the function.
From the graph, we can see that the range will extend infinitely in both directions.
Therefore, the range is all real numbers. As an inequality:
[tex]-\infty < y < \infty[/tex]
Or in interval notation, the domain is:
[tex](-\infty, 3][/tex]
And the range is:
[tex](-\infty, \infty)[/tex]
What is the answer for y?
the answer is in the picture
PLEASE HELP WILL GIVE BRAINLIEST
Sarah uses 23 of her supply of cheese to make pizza and 19 of her supply of cheese to make lasagna. If Sarah uses 213 pounds of cheese, how many pounds of cheese were in her supply?
A.)3 pounds
B.)6 pounds
C.)8 pounds
D.)9 pounds
Answer:
C.) 8 pounds
Hope that can help
You have a large container of castor oil. You have used 34 quarts of oil.
Fifteen percent of the castor oil remains. How many quarts of castor oil
remain?
co
=====================================================
Explanation:
x = original amount of caster oil (in quarts)
Since 15% remains, this means you used 85% of the original amount x.
Note how 15% + 85% = 100%
So,
85% of x = 34 quarts
0.85x = 34
x = 34/0.85
x = 40
You started with 40 quarts of oil.
15% of that remains, meaning 0.15*40 = 6 quarts of oil are left over.
-----------
We could also solve like this
(amount used)/(amount total) = (percent)/(100)
34/x = 85/100
34*100 = x*85
3400 = 85x
85x = 3400
x = 3400/85
x = 40
So we end up with the same x value as before, and we follow the same set of steps at the end of the first section to end up with the answer of 6 quarts.
Please helped timed question. Solve for a, b, and A. Round to the nearest tenth.
Answer:
[tex]\angle A=90-72[/tex]
[tex]\angle A=18[/tex]
---------------
[tex]sin~72=\frac{b}{11}[/tex]
[tex]11\times sin~72=6[/tex]
[tex]b=10.5[/tex]
----------------
[tex]11\times cos~72=a[/tex]
[tex]a=3.4[/tex]
----------------
ANSWER:
a=3.4
b=10.5
∠A=18
-----------------------
hope it helps...
have a great day!!
Simplity the expression.
3(2y - 8) - 2y(5 - y)
Answer:
2y² - 4y - 24
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
3(2y - 8) - 2y(5 - y)
Step 2: Simplify
[Distributive Property] Distribute 3 and -2y: 6y - 24 - 10y + 2y²Combine like terms: 2y² - 4y - 24find k so that x-1 is a factor of x^3 - 3x^2 + kx - 1
Answer:
[tex]{ \bf {factor : { \tt{x - 1}}}} \\ x - 1 = 0 \\ x = 1 \\ { \tt{f(x) = {x}^{3} - {3x}^{2} + kx - 1}} \\ { \tt{f(1) : {(1)}^{3} - 3 {(1)}^{2} + k(1) - 1 = 0}} \\ { \tt{k - 3 = 0}} \\ { \tt{k = 3}}[/tex]
Answer:
k = 3
Step-by-step explanation:
If x-1 is a factor of x³ - 3x² + kx - 1 then value of x is 1.
f (x ) = x³ - 3x² + Kx - 1 , then
plug 1 as x in the expression.
f ( 1) = ( 1)³ - 3 ( 1)² + k (1) - 1 = 0expand exponents
1 - 3 + k - 1 = 0combine like terms
-3 + k = 0Add 3 to both side
k = 3Every floor of a 20 storey building is 5m in high. If a lift moves 2m every second, how long will it take to move from 3rd floor to 15th floor?
Answer:
30 seconds
Step-by-step explanation:
→ Work out how many floors it's going to travel
15 - 3 = 12 floors
→ Work out how many meters 12 floors is
12 × 5 = 60 meters
→ Work out how long that will take
60 ÷ 2 = 30 seconds
What should the following equation be multiplied by in order to eliminate the fractions?
Answer:
6
Step-by-step explanation:
To figure out what needs to be multiplied, we need to find the least common denominator. By finding this, we know that what we multiply the equation with will be a multiple of each denominator, meaning that there will be no fractions left.
We can find the least common denominator by listing multiples of each fraction, and finding which one is the smallest but still in each list.
3: 3, 6, 9, 12...
2: 2, 4, 6, 8...
6: 6, 12, 18, 24...
We can notice that 6 is the lowest number in each list. Therefore, 6 is our least common denominator, and if we multiply by 6, the fractions will be removed.
Answer:
6
Step-by-step explanation:
I took the quiz and got it correct.
Simplify (square root)2/^3(square root)2
A. 2^1/6
B. 2^1/3
C. 2^5/6
D. 2^3/2
Answer: Personally I would do option "B" 2 1/3 because it sounds right.
PLEASE ANSWER IT CORECTLY
Answer:
Q24=A
25=B
26=A
Step-by-step explanation:
