Answer:
4 (3 y + 2 x)^2
Step-by-step explanation:
Factor the following:
36 y^2 + 48 x y + 16 x^2
Hint: | Factor out the greatest common divisor of the coefficients of 36 y^2 + 48 x y + 16 x^2.
Factor 4 out of 36 y^2 + 48 x y + 16 x^2:
4 (9 y^2 + 12 x y + 4 x^2)
Hint: | Factor by grouping.
The coefficient of x^2 is 4 and the coefficient of y^2 is 9. The product of 4 and 9 is 36. The factors of 36 which sum to 12 are 6 and 6. So 9 y^2 + 12 x y + 4 x^2 = 4 x^2 + 6 x y + 6 x y + 9 y^2 = 2 x (3 y + 2 x) + 3 y (3 y + 2 x):
4 2 x (3 y + 2 x) + 3 y (3 y + 2 x)
Hint: | Factor common terms from 2 x (3 y + 2 x) + 3 y (3 y + 2 x).
Factor 3 y + 2 x from 2 x (3 y + 2 x) + 3 y (3 y + 2 x):
4 (3 y + 2 x) (3 y + 2 x)
Hint: | Combine products of like terms.
(3 y + 2 x) (3 y + 2 x) = (3 y + 2 x)^2:
Answer: 4 (3 y + 2 x)^2
y=x+2 y=-3X
solve system of equations algebraically
Answer:
(x,y) = -1/2 , 3/2
Step-by-step explanation:
Let y = x +2 ----- (1)
y = -3x ------ (2)
Put equal both sides x +2 = -3x
x = -3x -2
x +3x = -2
4x = -2
x = -1/2 Put it in 2nd equation
Y = -3 (-1/2)
y = 3/2
so (x,y) = -1/2 , 3/2
Hope you got it.
Please Mark as Brainliest.
2. 3 2/5 ÷ 4/5
HELP PLS I NEED THE ANSWER
4.25 is DECIMAL FORM
17/4 is exact form
4 1/4 is mixed form
HOPE THIS HELPS :)
In ΔNOP, o = 3.6 cm, ∠N=119° and ∠O=5°. Find the length of n, to the nearest 10th of a centimeter.
Answer:
36.1
Step-by-step explanation:
Just did it on delta math
Milan bought 13 pounds of rice for $7. How many dollars did he pay per pound of rice?
Answer:
$1.86
Step-by-step explanation:
You would do 13/7 which is 1.85714... which when rounded to the nearest hundredth is 1.86
Hope this helps!
Answer:
About $0.54 per pound
Step-by-step explanation:
7 ÷ 13 = 0.538461
(20 points) A random sample of =1200 n = 1200 registered voters and found that 620 would vote for the Republican candidate in a state senate race. Let p represent the proportion of registered voters who would vote for the Republican candidate. Consider testing 0:=.50 H 0 : p = .50 :>.50 H a : p > .50 (a) The test statistic is z =
Answer:
The test statistic is Z = 1.157
Step-by-step explanation:
Given that:
The sample size n = 1200
The sample proportion of those that will vote for the Republican candidate is represented by [tex]\hat p = \dfrac{x}{n}[/tex]
[tex]\hat p = \dfrac{620}{1200}[/tex]
[tex]\hat p =0.5167[/tex]
The null and the alternative hypothesis can be computed as:
[tex]H_o: P=0.50 \\ \\ H_a :P>0.50[/tex]
The formula for the one-sample Z-test for the population proportion can be expressed as:
[tex]Z = \dfrac{\hat p - P_o}{\sqrt{\dfrac{P_o(1-P_o)}{n}}}[/tex]
[tex]Z = \dfrac{0.5167 - 0.5}{\sqrt{\dfrac{0.5(1-0.5)}{1200}}}[/tex]
[tex]Z = \dfrac{0.0167}{\sqrt{\dfrac{0.5(0.5)}{1200}}}[/tex]
[tex]Z = \dfrac{0.0167}{\sqrt{\dfrac{0.25}{1200}}}[/tex]
[tex]Z = \dfrac{0.0167}{\sqrt{2.08333333\times10^{-4}}}[/tex]
Z = 1.157
Testing the hypothesis, from the information given, it is found that the test statistic is z = 1.157.
The null hypothesis is:
[tex]H_0: p = 0.5[/tex]
The alternative hypothesis is:
[tex]H_1: p > 0.5[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are: [tex]p = 0.5, n = 1200, \overline{p} = \frac{620}{1200} = 0.5167[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.5167 - 0.5}{\sqrt{\frac{0.5(0.5)}{1200}}}[/tex]
[tex]z = 1.157[/tex]
The test statistic is z = 1.157.
A similar problem is given at https://brainly.com/question/24166849
Which inequalities have -0.5,2.5, and 4 as part of the solution set select all that apply? Z>-3 z<5 z<4 z_< 4 z>0
Answer:
Step-by-step explanation: 1 . z>-3
2. Z<5
Z<=4 the answer are 1,2,4
8. Evaluate the expression for x = 2
and y = 3.
16x0 + 5x2•y1
Answer:
The answer is 60.
Step-by-step explanation:
16(2)0 + 5(2)2•(3)1
(16)(2)(0)+(5)(2)(2)(3)(1)
16×2=32×0=0 + 5×2=10×2=20×3=60×1=60
0+60=60
16/12 = x/3 what's x
Answer:
16/12 = x/3
x = 4
Step-by-step explanation:
Answer:
X=4
Step-by-step explanation:
16/12 = x/3
Cross multiply on both side
16×3=12x
48=12x
X=48/12
X=4
Value of X is 4
what is 10 times smaller than 0.6
Answer:
0.06
Step-by-step explanation:
what is slope intercept
Answer:
Slope Intercept is the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.
Step-by-step explanation:
Heather claims that she can tell exactly how long a family was at the museum by how much the family pays for parking. Is Heather correct? Explain.
can someone help me with this?
Answer:
X = 25
Step-by-step explanation:
As, 2x + 60° + 4x = 180° (bc they r supplementry)
So, 6x + 30° = 180°
6x = 180° - 30°
6x = 150°
x = 150/6
x = 25
Therefore, answer = 25
What is the answer to this?
-72 = 8d
Answer:
-9 = d
Step-by-step explanation:
Answer:
d= -9
Step-by-step explanation:
y-3x=-2 and 7x- 2y=8
Answer:
thx for the free
Step-by-step explanation:
If you cut 10 ounces of butter into 2/5 ounce pieces, how many
2/5 pieces of butter will you have?
what's the c ??
easy question solve it and get points...
hints : a is 116 and b is 64
Answer:
64 degrees
Step-by-step explanation:
It is the same amount of degrees as the original one.
Emily bought 2 burgers and 4 drinks for $20. Deja bought 2 burgers and 2 drinks for $14. What was the cost of each burger and each drink? HURRY IN TEST RN
Write the equation of the line, in point-slope form. Identify (x1 y2) as slope (-2,2). Use the box provided to submit all of your calculations and final answers.
Answer:
y + 2 = -1(x - 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Point (-2, 2)
Point (2, -2)
Step 2: Find slope m
Substitute: [tex]m=\frac{-2-2}{2+2}[/tex]Subtract/Add: [tex]m=\frac{-4}{4}[/tex]Divide: [tex]m=-1[/tex]Step 3: Write equation
Point-Slope Form: y + 2 = -1(x - 2)
And we have our final answer!
What should I write for the explanation??plz help
Answer:
y = - 2 + [tex]\frac{1}{3}[/tex] x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (6, 0) ← 2 points on the line
m = [tex]\frac{0+2}{6-0}[/tex] = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]
The line crosses the y- axis at (0, - 2 ) ⇒ c = - 2
y = [tex]\frac{1}{3}[/tex] x - 2 , or
y = - 2 + [tex]\frac{1}{3}[/tex] x
Answer:
Proof
Step-by-step explanation:
"The y-intercept is - 2" and now I think the best way to prove the gradient is to prove it mathematically taking coordinates of the line and using:
[tex]m = \frac{y - y}{x - x} [/tex]
So I'll take the coordinates (6,0) and (0,-2) and substitute them in the formula for the gradient.
[tex]m = \frac{ - 2 - 0}{0 - 6} = \frac{ - 2}{ - 6} = \frac{1}{3} [/tex]
I hope this helps.
Six students bought exactly enough pens to share equally among themselves. Which of the following could be the number
of pens they bought?
Answer:
6 12 18 24 30 36 42 48 54 60
Step-by-step explanation:
Answer:
b. 48
i found the answer key lol
PLEASE HURRY 45 POINTS!!! which function is best represented by the graph A. g(x)=(1/3) B. g(x)=6(3) C. g(x)=6-(1/3) D. g(x)=6-(3)
Answer:
it is d. i had that question and i got it right
Step-by-step explanation:
The given line in the graph is represented by the equation g(x) = 6 - (3). The correct option is D.
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
In the given graph the straight line is represented by the function g(x) = 6 - ( 3 ). The graph of the line is matched with the answer below.
To know more about the graph follow
https://brainly.com/question/25020119
#SPJ2
which Expression is equivalent to 11 + 22q + 22 - 5q? if correct, I'll reward brainlest
Answer:
I think it would be 33+27q
tell me if this helps! :)
Sorry if it doesn't though :(
Helppp!!!
37.37 x 7.6
Answer:
284.012
Step-by-step explanation:
Hope this awnsers your question!
Answer:
284.012
Step-by-step explanation:
1/2(8x-20)=1/4(12x+32)
Answer:
x=18
Step-by-step explanation:
4x-10=3x+8
4x-3x
x-10=8
8+10
Which number is less than 9 5/8
Answer:
9 1/10
Step-by-step explanation:
What is the slope of the line that passes through the points (-2,8) and (-22,8)
Answer: m = 0
Step-by-step explanation:
Answer:
m=0
Step-by-step explanation:
The slope formula is: m=y1=y2/x2=x1
where (x₁, y₁) and (x₂,y₂) are the points on the line.
The points given are (-2,8) and (-22,8). Therefore,
x1=-2
y1=8
x2=-22
y2=8
Substitute the values into the formula.
m=8-8/-22-2
Solve the numerator. Subtract 8 from 8.
m=0/-22+2
Zero divided by any number is zero, so we automatically know the slope is zero.
m=0
The slope of the line is 0
Which statement is an example of heat transfer by convection?
Jane's feet burned as she walked across the hot beach sand.
Hot air from the sand rose and was replaced by cool air blowing in from the ocean as a sea breeze.
The black asphalt of the parking lot was much warmer than the green grass surrounding the lot.
People were scattered across the beach, sitting on chairs and towels, warming themselves in the bright sunshine.
GIVING BRAINLIEST!!
Answer: Hot air from the sand rose and was replaced by cool air blowing in from the ocean as a sea breeze.
Step-by-step explanation:
sorry it's late but hopefully it will help others
Im really dumb i need help and can you also explain it
What is the volume of the figure?
10 cm
5 cm
8 cm
2 cm
HELPPPPPPPP!!!!!!!!!!
Answer:
answer is b your welcome
