Answer:
Y= x^2 - 5x +4
Step-by-step explanation:
How is symmetry in the real world different from symmetry in geometry?
Answer:
In geometry symmetry has to measure to the same but in real life if they are close enough it is good enough
Solve the system of equations.
−2x+5y =−35
7x+2y =25
Answer:
The equations have one solution at (5, -5).
Step-by-step explanation:
We are given a system of equations:
[tex]\displaystyle{\left \{ {{-2x+5y=-35} \atop {7x+2y=25}} \right.}[/tex]
This system of equations can be solved in three different ways:
Graphing the equations (method used)Substituting values into the equationsEliminating variables from the equationsGraphing the Equations
We need to solve each equation and place it in slope-intercept form first. Slope-intercept form is [tex]\text{y = mx + b}[/tex].
Equation 1 is [tex]-2x+5y = -35[/tex]. We need to isolate y.
[tex]\displaystyle{-2x + 5y = -35}\\\\5y = 2x - 35\\\\\frac{5y}{5} = \frac{2x - 35}{5}\\\\y = \frac{2}{5}x - 7[/tex]
Equation 1 is now [tex]y=\frac{2}{5}x-7[/tex].
Equation 2 also needs y to be isolated.
[tex]\displaystyle{7x+2y=25}\\\\2y=-7x+25\\\\\frac{2y}{2}=\frac{-7x+25}{2}\\\\y = -\frac{7}{2}x + \frac{25}{2}[/tex]
Equation 2 is now [tex]y=-\frac{7}{2}x+\frac{25}{2}[/tex].
Now, we can graph both of these using a data table and plotting points on the graph. If the two lines intersect at a point, this is a solution for the system of equations.
The table below has unsolved y-values - we need to insert the value of x and solve for y and input these values in the table.
[tex]\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & a \\ \cline{1-2} 1 & b \\ \cline{1-2} 2 & c \\ \cline{1-2} 3 & d \\ \cline{1-2} 4 & e \\ \cline{1-2} 5 & f \\ \cline{1-2} \end{array}[/tex]
[tex]\bullet \ \text{For x = 0,}[/tex]
[tex]\displaystyle{y = \frac{2}{5}(0) - 7}\\\\y = 0 - 7\\\\y = -7[/tex]
[tex]\bullet \ \text{For x = 1,}[/tex]
[tex]\displaystyle{y=\frac{2}{5}(1)-7}\\\\y=\frac{2}{5}-7\\\\y = -\frac{33}{5}[/tex]
[tex]\bullet \ \text{For x = 2,}[/tex]
[tex]\displaystyle{y=\frac{2}{5}(2)-7}\\\\y = \frac{4}{5}-7\\\\y = -\frac{31}{5}[/tex]
[tex]\bullet \ \text{For x = 3,}[/tex]
[tex]\displaystyle{y=\frac{2}{5}(3)-7}\\\\y= \frac{6}{5}-7\\\\y=-\frac{29}{5}[/tex]
[tex]\bullet \ \text{For x = 4,}[/tex]
[tex]\displaystyle{y=\frac{2}{5}(4)-7}\\\\y = \frac{8}{5}-7\\\\y=-\frac{27}{5}[/tex]
[tex]\bullet \ \text{For x = 5,}[/tex]
[tex]\displaystyle{y=\frac{2}{5}(5)-7}\\\\y=2-7\\\\y=-5[/tex]
Now, we can place these values in our table.
[tex]\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & -7 \\ \cline{1-2} 1 & -33/5 \\ \cline{1-2} 2 & -31/5 \\ \cline{1-2} 3 & -29/5 \\ \cline{1-2} 4 & -27/5 \\ \cline{1-2} 5 & -5 \\ \cline{1-2} \end{array}[/tex]
As we can see in our table, the rate of decrease is [tex]-\frac{2}{5}[/tex]. In case we need to determine more values, we can easily either replace x with a new value in the equation or just subtract [tex]-\frac{2}{5}[/tex] from the previous value.
For Equation 2, we need to use the same process. Equation 2 has been resolved to be [tex]y=-\frac{7}{2}x+\frac{25}{2}[/tex]. Therefore, we just use the same process as before to solve for the values.
[tex]\bullet \ \text{For x = 0,}[/tex]
[tex]\displaystyle{y=-\frac{7}{2}(0)+\frac{25}{2}}\\\\y = 0 + \frac{25}{2}\\\\y = \frac{25}{2}[/tex]
[tex]\bullet \ \text{For x = 1,}[/tex]
[tex]\displaystyle{y=-\frac{7}{2}(1)+\frac{25}{2}}\\\\y = -\frac{7}{2} + \frac{25}{2}\\\\y = 9[/tex]
[tex]\bullet \ \text{For x = 2,}[/tex]
[tex]\displaystyle{y=-\frac{7}{2}(2)+\frac{25}{2}}\\\\y = -7+\frac{25}{2}\\\\y = \frac{11}{2}[/tex]
[tex]\bullet \ \text{For x = 3,}[/tex]
[tex]\displaystyle{y=-\frac{7}{2}(3)+\frac{25}{2}}\\\\y = -\frac{21}{2}+\frac{25}{2}\\\\y = 2[/tex]
[tex]\bullet \ \text{For x = 4,}[/tex]
[tex]\displaystyle{y=-\frac{7}{2}(4)+\frac{25}{2}}\\\\y=-14+\frac{25}{2}\\\\y = -\frac{3}{2}[/tex]
[tex]\bullet \ \text{For x = 5,}[/tex]
[tex]\displaystyle{y=-\frac{7}{2}(5)+\frac{25}{2}}\\\\y = -\frac{35}{2}+\frac{25}{2}\\\\y = -5[/tex]
And now, we place these values into the table.
[tex]\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & 25/2 \\ \cline{1-2} 1 & 9 \\ \cline{1-2} 2 & 11/2 \\ \cline{1-2} 3 & 2 \\ \cline{1-2} 4 & -3/2 \\ \cline{1-2} 5 & -5 \\ \cline{1-2} \end{array}[/tex]
When we compare our two tables, we can see that we have one similarity - the points are the same at x = 5.
Equation 1 Equation 2
[tex]\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & -7 \\ \cline{1-2} 1 & -33/5 \\ \cline{1-2} 2 & -31/5 \\ \cline{1-2} 3 & -29/5 \\ \cline{1-2} 4 & -27/5 \\ \cline{1-2} 5 & -5 \\ \cline{1-2} \end{array}[/tex] [tex]\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & 25/2 \\ \cline{1-2} 1 & 9 \\ \cline{1-2} 2 & 11/2 \\ \cline{1-2} 3 & 2 \\ \cline{1-2} 4 & -3/2 \\ \cline{1-2} 5 & -5 \\ \cline{1-2} \end{array}[/tex]
Therefore, using this data, we have one solution at (5, -5).
(I'LL GIVE BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS MEE!!!!!!!!!!! :D)
Solve one and two tenths plus eight and one eighteenth.
A) nine and one twenty eighths
B) nine and three twenty eighths
C) nine and thirty six one hundred eightieths
D) nine and forty six one hundred eightieths
Answer:
Its D
Step-by-step explanation:
Answer:
It would be 9 13/40
Step-by-step explanation:
Convert any mixed numbers to fractions.
Reduce fractions where possible.
Then your initial equation becomes:
6/5 + 65/8
Applying the fractions formula for addition,
=(6×8)+(65×5)5×8
=48+325/40
=373/40
Simplifying 373/40, the answer is =9 13/40
A boat rental company offers two different rental packages. The first rental package costs $45, plus $29.50 per hour. The second rental package costs $90, plus $0.70 per hour. Which answer choice best approximates the number of rental hours at which the boating packages cost the same amount?
Answer:
$90
Step-by-step explanation:
Question 20 (5 points)
B
1
12
✓
4
15
7
18
✓
0
What vertical line (V) and horizontal line (H) intersect at point B?
OA) V: y = 6; H: x = 1
OB) V: y = 6; H: x = 1
ty
Answer:
D.) [tex]V:x=1;H:y=6[/tex]
Step-by-step explanation:
The vertical intersection of the point is found by the x value. Starting at the point, move down to find the value of x. The vertical line, value x, is 1.
The horizontal intersection of point B is found by the y value. Start at the given point and move to the left to find the y value. The horizontal line, y, is 6.
[tex](vertical,horizontal)\\\\(x,y)\\\\(1,6)[/tex]
:Done
what is the geometric mean of 8 and 18
Answer:
12.
Step-by-step explanation:
The geometric mean of two numbers a and b is sqrt(ab).
Hence, sqrt(8 * 18) = sqrt (144) = 12.
Hope this helped!
The geometric mean of 8 and 18 is 12 which is calculated as the square root of their product, which is 12.
Given two numbers are:
First number = 8
Second number = 18.
To find the geometric mean of two numbers, multiply the numbers together and then take the square root of their product.
Step 1: Find of the two numbers.
Product P: [tex]8 \times 18 = 144[/tex]
Step 2: Find the square root of the product.
Geometric mean = [tex]\sqrt{P}[/tex]
Plugging the value of P gives:
Geometric mean = [tex]\sqrt{144}[/tex]
Take the square root of 144, gives:
Geometric mean = 12.
Therefore, the geometric mean of 8 and 18 is 12.
The geometric mean is often used to find the average growth rate or to compare quantities that vary exponentially.
In summary, the geometric mean of 8 and 18 is calculated as the square root of their product, which is 12.
Learn more about the geometric mean here:
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whats is 1+1+3+7+8+33542
Answer:
33562, You could have used a calculator, or used your head, why
Step-by-step explanation:
please help me
evaluate each funtion for the given value
the problem is f (x) = -4x + 7; f (1)
Answer:Therefore, f(−1)=6.
Step-by-step explanation:
So, if f(x)=x+7 then f(−1)=(−1)+7
Therefore, f(−1)=6.
Answer:
primeroaend:epr )
Step-by-step explanation:
Now that you have described several mappings, consider a more general example. Suppose you are given two shapes and you must show that they are congruent using transformations. If the orientation of these two shapes is the same, which type(s) of transformations should you use to show that they are congruent? Why?
We will use Rotational transformation.
What is congruence transformation ?A congruence transformation is getting a congruence or similar image after we do any types of the known transformation.
According to the given question
We are given two shapes and we must show that they are congruent using transformations.
We can show the given two shapes are congruent by Reflections, Rotations and Translations.
Here in the given question it is being said that the orientation of these two shapes is the same so we should use rotational transformations.
In rotational transformation we can rotate a figure in clockwise or in anti-clock wise direction. Rotational transformation can be of any degree but in general we rotate it by 90°, 180°, 270° or by 360°.
In rotational transformation object's side length their adjacent angles remain same.
If by doing some degrees of rotational transformation and the figure looks exactly as before it has then it has rotational symmetry for that value of degrees.
Learn more about transformation here :
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after 6 hours, a driver had traveled 390 miles. how far had the driver traveled after 4 hours
The senior class sells movie tickets to students and teachers. The student tickets cost $4 each and teacher tickets cost $8 each. If they earned only $44, how many possible combinations of student and teacher tickets could have been sold?
Answer: There are 6 possible combinations:
Student | Adult . $
11 | 0 . 44 + 0
9 | 1 36 + 8
7 | 2 28 + 16
5 | 3 20 + 24
3 | 4 12 + 32
1 | 5 4 + 40
Step-by-step explanation:
We can use an equation 4x + 8y = 44
Graph it and see where the graphed line crosses the grid lines at integers.
Please help I’ll mark brainliest if u give a small explanation
Answer:
35
Step-by-step explanation:
yeah becuse 35fttttt
Answer:
45 degrees
Step-by-step explanation:
All triangles have 180 degrees...
So, 85 + 50 = 135
180 - 135 = 45
Hence, the answer is 45 degrees
I hope this helped :)
can someone please help me please I will give brainliest and please dont google
give an example of an instance when correlation and significance are extremely important when comparing two sets of data
Answer:
Step-by-step explanation:
Correlation occurs when we can observe a trend between the response/dependent variable (y) and the explanatory/independent variable (x).
When comparing two sets of data, we may observe and use correlation to determine whether or not the data presented if significant or not and whether or not it supports our hypothesis. We may want to see if this is just a fluke and whether or not the trend causes causation.
An example of this would be if we thought that the weight of female mice determines how many kids they have in a month.. Let's say that mice that weigh up to one ounce have 6 baby mice per month.
Let's say that the x variable is the weight which is between 0.25 oz and 1.25 oz and the y-variable is the amount of kids between each month. If another laboratory conducts the same study with the same type of mice with the same weights as us, we would need to determine if there is correlation and if there is causation and try to use this information to determine if both sets of data are significant to our hypothesis.
Answer:
If there is a strong correlation between two variables, it's easy to jump to the conclusion that one causes y and causes X; or that a third factor, Z (or even a whole set of other factors)
Step-by-step explanation:
im confused but i tried
what do rigid motions preserve
a:size and shape
b:shape and direction
c:size and location
d:shape and location
4% as a fraction or mixed number in simplest form
Answer:
1 /25
Step-by-step explanation:
percent means
out of 100
⇒
4
%
=
4
100
as a fraction
To simplify the fraction we require to find a
common factor
to both 4 and 100 and reduce the fraction by dividing. The common factors are 2 and 4 . Choose the largest, that is 4
⇒
4
100
=
4
÷
4
100
÷
4
=
1
25
This calculation is usually set out using
cancelling
4
100
=
4
1
100
25
=
1
25
←
in simplest form
A fraction is in
simplest form
when no other factor but 1 will divide into the numerator/denominator.
if four out of 10 people vote then in a town with 200,00 people how many will vote
Answer:
80,000
Step-by-step explanation:
You see all you have to do is find out what 200,000 divided by 10 is : 20,000 then multiply that by four leaving you with a answer of 80,000.
I need helppp... Pleasee I will thank you forever!!
Answer:
$15
correct if wrong pls
Step-by-step explanation:
42+56+129= 227 total of deposits
17+32+18= 67 total of withdrawals
227-67= 160
160-145=15 answer
correct if wrong but i think thats the answer
A .16
B .20
C .29
D .38
Answer:
a
Step-by-step explanation:
sorry if wrong
Write the number, 81.402 in expanded form using powers of ten.
Answer:
the answer is 81.402 in expanded form using the powers of ten = (8 x 10^1) + (1 x 10^0) + (4/10^1) + (0/10^2) + (2/10^3)
Step-by-step explanation:
12x+6=5x how many solutions
Answer -6/7
Step-by-step explanation:Factor then solve to find the complex solutions.
Answer:
-6/7
Step-by-step explanation:
12x+6=5x
12x-5x=-6
7x=-6
X=-6/7
So the answer is -6/7
PLS HELP ASAP I WILL MARK BRAINLIEST THIS IS DUE SO SOON DONT ANSWER IF NOT SURE
Answer:
D (7 floors)
Step-by-step explanation:
You start off 4 floors below the start (-4) and you go up to floor 3. Therefore you go up 4 floors to floor 0 then 3 more to floor 3. 4+3=7
I hope this helps and good luck!
Graph this line using the slope and y-intercept:
y=x+9
Click to select points on the graph.
School fees were decreased from
N25.00 to 20.00 per term.What is
the decrease percent?
(a) 80%
(b) 40%
an
(c) 25%
(d) 24%
(e) 20%
Answer:
(e) 20%
Step-by-step explanation:
20/25 = 80/100 = 80% of 25.
If 25/25 = 100%,
then 100% - 80% = 20%
So, the school fees decreased by 20%
PLSSS HELPPPPP I WIILLL GIVE BRAINLIEST!!!!!
PLSSS HELPPPPP I WIILLL GIVE BRAINLIEST!!!!!
PLSSS HELPPPPP I WIILLL GIVE BRAINLIEST!!!!!
What does it mean to be a linear function?
Answer:
It means if you graph the function, the line is straight.
also s p a m
Answer:
Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable.
Step-by-step explanation:
plzz mark brianliest i needdddd
Please help me! I give 30 pts to whoever answers!
Answer:
4 lollipops and 3 penicls in each bag, so 50 bags
Step-by-step explanation:
I've had to do this one before
Who does Russian School of Math
Answer:
Not me
Step-by-step explanation:
Answer:
isn't it the same as American
Step-by-step explanation:
Carli and Angela share a cell phone plan and split the bill each month. Last month, their total bill was $109. Carli went over her data limit on her phone, so her share of the bill was $15 more than Angela's to account for the overage charge. Which system of equations represents this situation?
A. c+a=15
c=a+109
B. c+a=109
c=a+15
C. c+a=109
a=c+15
D. c-a=15
c=a+109
Answer:
C
Step-by-step explanation:
give a time where you confused correlation and causation
Answer: A
Step-by-step explanation:
In math
Whats the inequalitie of X+7<14
Answer:
x>7
Step-by-step explanation:
After subtracting 7 from each side, you must flips the less than sign to grater than. This would leave you with x>7.
Evaluate √(13 +2i)^4
Answer:
(165 + 52 i)
Step-by-step explanation:
We are given the expression:
√(13+2i)⁴
the square root can also be written as the power of 1/2
[tex](13 + 2i)^{4 * 1/2}[/tex]
(13 + 2i)²
(13)² + (2i)² + 2(13)(2i) [(a + b)² = a² + b² + 2ab]
169 + 4(i²) + 52i
169 - 4 + 52i [i² = -1]
(165 + 52 i)