Which represents the solution(s) of this system of equations?
(4, 4)
(–4, –12)
(4, 4) and (–4, 12)
(–4, 4) and (4, 12)
Answers
The solution to the given system of equation is (4, 4)
Factorizing quadratic functionsFrom the solved steps, the final quadratic functions is given as;
x^2 - 8x + 16 = 0
Factorize to have;
x^2 - 4x - 4x + 16 = 0
x(x-4)-4(x-4) = 0
(x-4)(x-4) = 0
x = 4 and 4
Hence the solution to the given system of equation is (4, 4)
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Related Questions
Find the measure of the arc.
A
1460
E
B
mBC = [ ? ]0
Answers
Answer:
see the attachment photo!
8. Which statement is an example of a transitive relationship?
O
If all b and b ll c, then a ll c.
If m 1n and m 1 p, then m ll p.
If x = 2y and 2y = 8, then x = 4.
If I m and m ll n, then I n.
O
Answers
Answer:
Transitive
If x = 2y and 2y = 8, then x = 4.
*
Between 10 A.M. and 11 A.M., 48 people came into Brad's store.40 of them
made a purchase. What is the number of favorable outcomes of people
who made a purchase?
Answers
Answer: The answer is 40 there are 40 favorable outcomes of people who made a purchase.
Step-by-step explanation:
Find the equation of the graphed line.
On a coordinate plane, a line goes through (negative 4, 0) and (0, negative 2).
a.
y = negative one-half x minus 2
c.
y = 4 x minus 2
b.
y = negative 2 x minus 4
d.
y = negative 4 x minus 2
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
a. y = -1/2x - 2
Step-by-step explanation:
The correct answer choice can be determined by finding the slope of the line. The slope is the ratio of rise to run.
__
slopeThe x-intercept is 4 units left of the y-axis. As the line "runs" those 4 units, it "rises" -2 units to intercept the y-axis at -2. The slope of the line is ...
m = rise/run = -2/4 = -1/2
In the slope-intercept form of the equation of a line, the slope is the coefficient of x. This information is sufficient to let us choose the first answer choice.
__
equationThe slope-intercept equation is ...
y = mx +b . . . . . . . slope m, y-intercept b
We know the slope is -1/2, and the y-intercept is where x=0, at y=-2. Then the equation is ...
y = -1/2x -2 . . . . . matches choice A
_____
Additional comment
When answering multiple-choice questions, you only need to do enough work to tell which answers are not viable.
When we plot the points, we see that the line has negative slope. (eliminates choice C). The slope is shallow, rather than steep (the x-intercept is farther from the origin than the y-intercept), so the magnitude of the slope is less than 1 and choices B and D are eliminated.
please answer all 3 questions
⦁ Calculate the residuals for your scatterplot in step 2d.
⦁ Create a residual plot for your data.
⦁ Does your residual plot show that the linear model from the regression calculator is a good model? Explain your reasoning.
Answers
The residuals of the linear regression equation are 0.329, -0.346, 0.064, -0.326, 0.049, -0.286, -0.161, 0.214, 0.429 and 0.059
How to determine the residuals?The regression equation is given as:
y = 0.005x + 3.111
Next, we calculate the predicted values (y) at the corresponding x values.
So, we have:
y = 0.005 * 4 + 3.111 = 3.131
y = 0.005 * 3 + 3.111 = 3.126
y = 0.005 * 5 + 3.111 = 3.136
y = 0.005 * 3 + 3.111 = 3.126
y = 0.005 * 8 + 3.111 = 3.151
y = 0.005 * 15 + 3.111 = 3.186
y = 0.005 * 10 + 3.111 = 3.161
y = 0.005 * 15 + 3.111 = 3.186
y = 0.005 * 6 + 3.111 = 3.141
y = 0.005 * 6 + 3.111 = 3.141
The residuals are then calculated using:
Residual = Actual value - Predicted value
So, we have:
y = 3.46 - 3.131 = 0.329
y = 2.78 - 3.126 = -0.346
y = 3.2 - 3.136 = 0.064
y = 2.8 - 3.126 = -0.326
y = 3.2 - 3.151 = 0.049
y = 2.9 - 3.186 = -0.286
y = 3 - 3.161 = --0.161
y = 3.4 - 3.186 = 0.214
y = 3.57 - 3.141 = 0.429
y = 3.2 - 3.141 = 0.059
Hence, the residuals of the linear regression equation are 0.329, -0.346, 0.064, -0.326, 0.049, -0.286, -0.161, 0.214, 0.429 and 0.059
See attachment for the residual plot.
The residual plot shows that the linear model from the regression calculator is a good model because the points are not on a straight line
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Sin 0 = -8/17 and cos 0 = 15/17 find tan0
Answers
Answer:
Step-by-step explanation:
Givens
sin(theta) = - 8/17
cos(theta)= 15/17
Tan(theta) = ?
Comment
Without using the Pythagorean Theorem, you could simply use tan(theta) = Sin(theta) / cos(theta)
Tan(theta) = sin(theta) / cos(theta)
Tan(theta) =[tex]\dfrac{\dfrac{-8}{17} }{\dfrac{15}{17} }[/tex]
Now turn the bottom fraction upside down and multiply.
Tan(theta) = [tex]\dfrac{-8}{17}*\dfrac{17}{15} = \dfrac{-8}{15}[/tex]
Answer Tan(theta) = -8/15
Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 – 4x = 5
Answers
The solution to x^2 - 4x = 5 is x = -1 or 5
How to solve the equation?The equation is given as:
x^2 - 4x = 5
Take the coefficient of x
k = -4
Divide by 2
k/2 = -2
Square both sides
(k/2)^2 = 4
Add this value to the sides of the equation
x^2 - 4x + 4= 5 + 4
Express as a difference of two squares
(x - 2)^2 = 9
Take the square root of both sides
x - 2 = ±3
Add 2 to both sides
x = 2 ± 3
Evaluate
x = -1 or 5
Hence, the solution to x^2 - 4x = 5 is x = -1 or 5
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Can someone help me??
Answers
Answer:
9: 50
10: 90
11: 60
12: 25 and 115
13: 130 and 40
Thats all i can do, im sorry but i hope this helps ^^
Which of the following is an arithmetic sequence with common difference –5?
Answers
The arithmetic sequence that has a common difference of -5 from the options given is: A. 8, 3, -2, -7...
What is the Common Difference of an Arithmetic Sequence?The common difference of an arithmetic sequence is determined as: a term - previous term.
For the sequence, 8, 3, -2, -7,.. the common difference is:
-7 - 2 = -2 - 3 = 3 - 8 = -5.
Therefore, the arithmetic sequence with a common difference of -5 is: A. 8, 3, -2, -7...
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sin0= 5/13. find tan 0
Answers
Answer:
C. 5/12
Step-by-step explanation:
Finding the missing side :
Opposite side² + Adjacent side² = Hypotenuse²(5)² + Adjacent side² = (13)²Adjacent side² = 169 - 25Adjacent side² = 144Adjacent side = √144Adjacent side = 12Taking the tan ratio :
tanθ = opposite side / adjacent sidetanθ = 5/12Which of the following has the correct factored form AND the correct solutions for the quadratic equation? X^2-2x-3=0
Answers
The factored form of the quadratic equation x² - 2x - 3 = 0 is (x - 3)(x + 1)
How to factor quadratic equation?The quadratic equation can be factored as follows;
x² - 2x - 3 = 0
Therefore, let's find the numbers we can multiply to get -3 and add to get -2.
x² + x - 3x - 3
x(x + 1) - 3(x + 1)
Therefore,
(x - 3)(x + 1)
Therefore, the factored form of x² - 2x - 3 = 0 is (x - 3)(x + 1)
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I’m really confused please help me
Answers
========================================================
Explanation:
Focus on the bottom most triangle. The upper angle of this triangle is 360/5 = 72 degrees. This is because the regular pentagon is split into five congruent (aka identical) triangles.
Each of the triangles are isosceles. Let x be the measure of the base angles.
Use the rule that adding the three angles of a triangle gets us 180
angle1+angle2+angle3 = 180
x+x+72 = 180
2x+72 = 180
2x = 180-72
2x = 108
x = 108/2
x = 54 is the answer
----------------------
Another way to get the answer:
i = interior angle of a regular polygon with n sides
i = 180(n-2)/n
i = 180(5-2)/5
i = 180(3)/5
i = 540/5
i = 108
Each interior angle of a regular pentagon is 108 degrees.
Angle x marked in blue is half that, so it is 108/2 = 54 degrees
----------------------
A third method:
E = exterior angle of a regular polygon with n sides
E = 360/n
E = 360/5
E = 72 degrees is the measure of each exterior angle
i = 180 - E
i = 180-72
i = 108 is the measure of each interior angle.
To wrap things up, we follow the same exact steps at the end of the 2nd section to get 108/2 = 54 as our answer.
. (x² − 8x + 20) ÷ (x − 4)
Answers
Answer:
Step-by-step explanation:
(x² − 8x + 20) ÷ (x − 4)
x - x²/4 - 8 - 8x/4 + 20/x - 20/5
x - x²/4 - 8 - 2x + 20/x - 4
-x - x²/4 + 20/x -12
...don't know, keep going
PLEASEE
Solve
x=6
4x +y =20
Answers
Answer: y = -4
Step-by-step explanation:
4 (6) + y = 20
24 + y = 20
-24 -24
y = -4
Answer:
x = 6
y = -4
Step-by-step explanation:
Comment
You have 2 equations
x = 6
4x + y = 20
You already know what x is from the first equation.
All you need do is put 6 in for x in the second equation.
Solution
x = 6
4*6 + y = 20 Combine what you can on the left
24 + y = 20 Subtract 24 from both sides
24-24+ y = 20-24 Combine
y = - 4
Find the value of c 3-2(1 + 6c) = -35
Answers
Answer:
C = 3
Step-by-step explanation:
By using the distributive property, we multiply 1 and 6c inside the brackets by -2. This gives us 3 -2 - 12c = -35. Next, we subtract 2 from 3, giving us 1 - 12c = -35. We will now subtract 1 from both sides, leaving us with -12c = -36, or simply 12c = 36. Finally, we divide by 12, giving us C = 3. I hope this helps!
What graph represents the function g(x) = x +41 + 2?
Answers
Answer:
The Answer Above The Image
write down simplest ratio of 125ml and 5ml
Answers
Answer:
25 : 1
Step-by-step explanation:
125 : 5. divide by 5 we get
25 : 1
Pls helppp meee!!!!!
Plsss show your work
Answers
Answer:
Step-by-step explanation:
3x - 10 = 2x + 30
x - 10 = 30
x = 40
[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
The two lines shown in the figure intersects each other ~
Therefore,
3x - 10 = 2x + 30[ by vertical opposite angle property ]
Now let's solve for x :
[tex]\qquad \sf \dashrightarrow \:3x - 10 = 2x + 30[/tex]
[tex]\qquad \sf \dashrightarrow \: 3x - 2x = 30 + 10[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 40[/tex]
help me to give answer....
Answers
8. A dozen is 12 so you do 8.75x12= 105 for a dozen oranges.
9. 15.5x1.6= 24.8km
10. 1 year is divided into 4 quarters, each quarter is three months because 12 months divided by 4 is 3. That means she paid 18,800 in march since it’s the third month of the year, in another three months she would pay 18,800 again. Every 1 month she pays 6,266 because 18,800 divided by 3 is 6,266. Every 12 months (or year) she pays 75,200 because 18,800x4= 75,200.
11. Every month he makes 8,000 and he saves 0.4 (40%) percent of it each month. 8,000x0.4=3,200 this means he saves 3,200 every month. Multiply 3,200 by 6 months and he saves 19,200 in 6 months.
(Didn’t do 7 and 12 sorry but hope this helped you understand better!)
Evaluate and reduce:
Answers
Answer:
-31/8
Please mark me as brainliest
A cooler measures 8 inches by 8 inches by 3 inches. What is the surface area of the cooler?
2
in.
Answers
Answer: 192?
Step-by-step explanation:
i just think that that is the answer. you get the surface area by multiplying all of them just how you get area
A triangular prism has a height of 10 cm and a base area of 12 cm2. A rectangular prism has a height of 10 cm and base dimensions of 3 cm and 4 cm. Do the solids have the same volume?
Answers
The solids have the same volume.
What is Volume?Volume is the measure of the capacity that an object holds.
Volume of triangular prism be
= Base area * height
= 12*10
=120 cm³
Volume of rectangular prism be,
=10*3*4
=120 cm³
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Help Me please . I want to know Square root of 169 and 144 and 625 . please man fast
Answers
Answer:
13,12,25
Step-by-step explanation:
Square root of 169 is 13.
Square root of 144 is 12
Square root of 625 is 25.
Answer:
[tex]\sqrt{169} = 13\\\\\sqrt{144} = 12\\\\\sqrt{625} = 25[/tex]
Step-by-step explanation:
[tex]\sqrt{169} = \left(13^2 \right)^{\tfrac 12} = 13^{\tfrac 22} = 13^1 = 13\\\\\sqrt{144} = \left( 12^2\right)^{\tfrac 12} = 12^{\tfrac 22} = 12^1 = 12\\\\\sqrt{625}= \left(25^2 \right)^{\tfrac 12} = 25^{\tfrac 22} = 25^1 = 25[/tex]
A frustum is formed when a plane parallel to a cone’s base cuts off the upper portion as shown.
A cone is shown. The top of the cone is cut off to form a frustum of the bottom portion. The cone has a radius of 3.5 and a height of 8. The frustum has a height of 11 and a radius of 7.5.
Which expression represents the volume, in cubic units, of the frustum?
One-thirdπ(7.52)(11) – One-thirdπ(3.52)(8)
One-thirdπ(7.52)(11) + One-thirdπ(3.52)(8)
One-thirdπ(7.52)(19) – One-thirdπ(3.52)(8)
One-thirdπ(7.52)(19) + One-thirdπ(3.52)(8)
Answers
Calculate 6 2/3 x 5
Fractions btw
Answers
Answer:
33 1/3
Step-by-step explanation:
divide 2/3 which is 0.66... then multiply that by 5 which is 3.33...
then multiply 6 times 5 which is 30, then add 30 and 3.33... which is 33.33...
in fraction form that is 33 1/3
Just a little help :,(
Find the volume of the cone. Round your answer to the nearest tenth. Use 3.14 for T.
9 in.
in³.
3 in.
The volume is about
Answers
Answer:
the volume is about 84.8 in³
Step-by-step explanation:
Let b be the base of the cone
and h be the height of the cone
Formula :
Consider the cone with base b and height h
The volume = (1/3)×b×h
………………………………………………………
In our example:
b = 3.14×3^2 = 28.26
h = 9
Therefore
The volume = (1÷3)×(28.26)×9 = 84.78
Which expression is equivalent to log Subscript c Baseline StartFraction x squared minus 1 Over 5 x EndFraction?
log Subscript c Baseline x squared minus log Subscript c Baseline 5 x minus 1
2 log Subscript c Baseline x minus (log Subscript c Baseline 5 + log Subscript c Baseline x) minus 1
log Subscript c Baseline (x squared minus 1) minus (log Subscript c Baseline 5 + log Subscript c Baseline x)
2 log Subscript c Baseline x minus log Subscript c Baseline 1 minus log Subscript c Baseline 5 + log Subscript c Baseline x
Answers
The equivalent expression of [tex]\log_c(\frac{x^2 - 1}{5x})[/tex] is [tex]\log_c(x^2 - 1) - \log_c(5x)[/tex]
How to determine the equivalent expression?The logarithmic expression is given as:
[tex]\log_c(\frac{x^2 - 1}{5x})[/tex]
The law of logarithm states that:
log(a) - log(b) = log(a/b)
This means that the expression can be split as:
[tex]\log_c(\frac{x^2 - 1}{5x}) = \log_c(x^2 - 1) - \log_c(5x)[/tex]
Hence, the equivalent expression of [tex]\log_c(\frac{x^2 - 1}{5x})[/tex] is [tex]\log_c(x^2 - 1) - \log_c(5x)[/tex]
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i will mark as brainiest
Answers
Answer:
the answer to a is 70
the answer to b is 55
the answer to c is 15
Hope plans to run one day this week, play tennis one day, swim one day, and play soccer one day. A tree diagram would show different combinations in which she can do these.
Answers
The probability that Hope performs any of the activities each day of the week can be expressed in the tree diagram.
What is a tree diagram?A tree diagram is a term for a graphical tool that shows the possible outcomes of an experiment. To build a tree diagram, start by putting a branch for each of the possibilities.
What would the tree diagram of Hope's activities look like?The tree diagram of Hope's activities must include all the days of the week and on each day there must be three branches for each of the possible activities that she is going to do (play tennis, swim or play soccer).
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find the measure of the angle