Answer:
x = 1/6 =0.167
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*x+4-(9*x+3)=0
Step by step solution :
Step 1 :
Solving a Single Variable Equation :
1.1 Solve : -6x+1 = 0
Subtract 1 from both sides of the equation :
-6x = -1
Multiply both sides of the equation by (-1) : 6x = 1
Divide both sides of the equation by 6:
x = 1/6 = 0.167
One solution :
x = 1/6 = 0.167
Answer:
1/6
Step-by-step explanation:
Step 1: Subtract 9x from both sides.
3x+4−9x=9x+3−9x
−6x+4=3
Step 2: Subtract 4 from both sides.
−6x+4−4=3−4
−6x=−1
Step 3: Divide both sides by -6.
−6x -1
------- = ----------
-6 -6
x=1/6
[tex]( {5b}^{2} + 3b + 4) + ( {6b}^{2} - 5)[/tex]
Answer: 11b^2 + 3b - 1
Step-by-step explanation:
(5b^2 + 3b + 4) + (6b^2 - 5)
5b^2 + 3b + 4 + 6b^2 - 5
11b^2 + 3b -1
15
Type the correct answer in each box. Use numerals instead of words.
This system of equations has been placed in a matrix:
y = 650x + 175
y= 25,080 - 120x
Column 1
Column 2
Column 3
Row 1
-1
Row 2
120
Reset
Next
The matrix representation of the system looks:
| -650 0 |
| -1 120 |
To clarify, it seems you have provided a system of equations:
y = 650x + 175
y = 25,080 - 120x
Now, you want to create a matrix representation of this system by filling in the values in the columns and rows.
Column 1: The coefficient of x in the first equation is 650, so we put -650 in Column 1.
Column 2: The coefficient of x in the second equation is -120, so we put -120 in Column 2.
Column 3: There are no constants in front of x in the given system, so we put 0 in Column 3.
Row 1: Since the first equation has a positive coefficient of x, we put -1 in Row 1.
Row 2: The second equation has a negative coefficient of x, so we put 120 in Row 2.
for such more question on matrix
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What is the measure of X ?
Answer:
38
Step-by-step explanation:
Since 88 and the angle inside the triangle right next to it are a linear pair, their measure must add up to 180 degrees. Therefore, that angle's measure must be 180-88=92 degrees. Since all of the interior angles of a triangle must add up to 180 degrees as well, 50+92+x=180, meaning that x=180-92-50=38 degrees. Hope this helps!
Answer: 38°
Step-by-step explanation:
180-88 = 92°
180-92-50= 38°
What is the slope of a line that is parallel to the graph of 4x +1y = 47
Answer:
The answer is negative four
Step-by-step explanation:
4x+1y=47 can be simplified to 4x+y=47.
To find the slope, we solve for Y.
Subtract 4x from both sides.
y=47-4x
Then, move it into standard slope formula, which is y=mx+b
y=-4x+47
A photograph measures 8 1/2 inches by 5 3/4 inches. Find its area.
Answer:
48 7/8
I hope this helps.
Answer:
Step-by-step explanation:
48 7/8
Which rhetorical technique is the speaker using? A.appeal B.overstatement C.parellelism D.shift
Answer:
From what chapter of a book?
Step-by-step explanation:
Answer:
he is making an appeal to someone to do something about something that he knows would be good for everyone
Step-by-step explanation:
Which statements are true regarding the quadratic statement?
Answer:
E
Step-by-step explanation:
I hope am right coz it seems most appropriate
2. (09.01 MC) In circle A shown below, the measure of ∠BAD is 148°: Circle A with angle BAD measuring 148 degrees; points B, C, D lie on Circle A. If m Arc BC is 96°, what is m Arc CD ? (3 points) 96° 22° 52° 148°
Answer:
Measure of arc CD will be 52°.
Step-by-step explanation:
In the given circle A, measure of central angle intercepted by the arc BCD at the center = 148°
And points B, C and D lie on the given circle.
[tex]m(\widehat {BCD})[/tex] = 148°
[tex]m(\widehat {BCD})=m(\widehat{BC})+m(\widehat {CD})[/tex]
148° = 96° + [tex]m(\widehat{CD})[/tex]
148 - 96 = [tex]m(\widehat{CD})[/tex]
[tex]m(\widehat{CD})[/tex] = 52°
Therefore, measure of arc CD will be 52°.
Option (3) will be the answer.
Answer:
its C
Step-by-step explanation:
PLEASE HELP ME! WILL MARK BRAINLIEST! I WILL REPORT ABSURD AND INCORRECT ANSWERS!
2. Suppose, 11 numbers are given. When each of them was increased by 1, the sum of their squares did not change. Once again each number is increased by 1. Does the sum of squares change this time, and if so, by how much?
4. Several points were marked on a line after which a point was added between any two neighboring points. This operation was repeated 2 more times, and as a result, there were 65 points on the straight line. How many points were there in the beginning?
Hello, please consider the following.
PART 2
Let's note [tex](x_i)_{1\leq i\leq 11}[/tex] the 11 numbers.
We can write the following
[tex]x_1^2+...+x_{11}^2=(x_1+1)^2+...+(x_{11}+1)^2\\\\=x_1^2+...+x_{11}^2+2(x_1+...+x_{11})+11\\\\\text{So } 2(x_1+...+x_{11})+11 = 0\\\\(x_1+2)^2+...+(x_{11}+2)^2=x_1^2+...+x_{11}^2+4(x_1+...+x_{11})+4*11\\\\\text{As we know that }2(x_1+...+x_{11})+11 = 0\\4(x_1+...+x_{11})+4*11=-11*2+4*11=22[/tex]
So the sum of squares changes by
[tex]\boxed{ \ 22 \ }[/tex]
PART 4
Let's say that we have n points at the beginning.
We will add n-1 points the first time, we will get n + n - 1 = 2n -1 points.
And then, the second time we add 2n - 1 - 1 points and we get
2n - 1 +2n - 2 = 4n - 3.
Finally, we do it a last time, we add 4n - 3 - 1 points and we get 4n - 3 + 4n - 4 points = 8n - 7 and it must be 65.
So, 8n -7 = 65 <=> 8n = 65+7=72 <=> n = 72/8=9
[tex]\boxed{= \ 9}[/tex]
Thank you
if a new car is valued at $23,600 and 6 years later it is valued at $8000, then what is the average rate of change of its value during those 6 years?
ABC and ACD are both right-angled triangles.
D
a)
Explain why the length of AC
is 13 cm.
5 cm
C
5 cm
b)
Calculate the length of AD.
Give your answer correct
to 1 decimal place.
B
A
12 cm
Answer:
In the picture attached, the question is shown.
a) Applying Pythagorean theorem to triangle ABC, and solving for AC:
CB² + BA² = AC²
5² + 12² = AC²
√169 = AC
13 cm = AC
b) Applying Pythagorean theorem to triangle ACD, and solving for AD:
CD² + AC² = AD²
5² + 13² = AD²
√194 = AD
13.9 cm = AD
Calculate the mean given the frequency table
Class
Frequency
0-9
24
10-19
20
20-29
32
Answer:
So the mean of the given data set is approximately 15.55.
Step-by-step explanation:
The mean is calculated by taking the sum of the product of each class midpoint and its corresponding frequency and dividing by the total frequency.
The midpoint of each class can be calculated as the average of the lower and upper class boundaries:
Class 0-9: Midpoint = (0 + 9) / 2 = 4.5
Class 10-19: Midpoint = (10 + 19) / 2 = 14.5
Class 20-29: Midpoint = (20 + 29) / 2 = 24.5
Now we can find the sum of the product of each midpoint and its frequency:
(4.5 * 24) + (14.5 * 20) + (24.5 * 32) = 108 + 290 + 784 = 1182
Finally, we divide this sum by the total frequency (76) to find the mean:
1182 / 76 = 15.552632
So the mean of the given data set is approximately 15.55.
In the triangle below. 15 represents which ratio?
А
15
B
00
17
C
o tan
O tano
sin B
COS
Answer:
tanB
Step-by-step explanation:
In the picture attached, the question is shown.
By definition:
tan(β) = opposite/adjacent
From the picture, for angle B the opposite side measure 8 units and the adjacent side measures 15 units. Replacing into the equation:
tan(B) = 8/15
Find the value of x in the following quadrilateral.
Answer:
see below
Step-by-step explanation:
Because the sum of all angles in a quadrilateral is 360° we have:
90 + 101 + 12x + 3 + 9x - 2 = 360
21x + 192 = 360
21x = 168
x = 8°
Answer:
The value of x is 8.
Step-by-step explanation:
Given that total angles in a quadrilateral is 360°. So in order to find x, you have to add up all the angles together to make it equals to 360° :
[tex]101 + 12x + 3 + 9x - 2 + 90 = 180[/tex]
[tex]192 + 21x = 360[/tex]
[tex]21x = 360 - 192[/tex]
[tex]21x = 168[/tex]
[tex]x = 168 \div 21[/tex]
[tex]x = 8[/tex]
A roof has the shape of an isosceles triangle with equal sides 8 cm long and base 12 m long. What is the measure of the angle of inclination of the roof to the nearest degree?
Answer:
41 degrees to the nearest degree.
Step-by-step explanation:
A line drawn from the vertex and bisecting the base forms 2 right triangles.
The base of one right triangle = 1/2 * 12 = 6 m.
So cos A = adjacent side /hypotenuse where A is the angle of inclination.
cos A= 6 / 8 = 0.75
m < A = 41.41 degrees.
Which choice is equivalent to the fraction below
Answer:
C
Step-by-step explanation:
a fraction will almost always be division
Answer:
C
Step-by-Step explanation:
6/17 = 0.35
A baker prepares a cake mix that weighs 120 pounds. The cake mix
consists of shortening and other ingredients. The weights of the other ingredients are, 20 1/2 pounds of flour, 29 3/4 pounds of sugar, 18 1/8 pounds of milk, 16 pounds of whole eggs, and a total of 5 1/4 pounds of flavoring, salt, and baking powder. How many pounds of shortening are used in this cake mix?
Answer:
30 3/8 pounds of shortening used.
Step-by-step explanation:
20 1/2 + 29 3/4 +18 1/8 + 16 + 5 1/4 = 89.625
120- 89.625 = 30.375 pounds
0.375 as a fraction = 3/8 + 30
Therefore the total shortening used = 30 3/8 pounds
How many pounds of shortening are used in this cake mix is maximum figure as we found exact 0.375
We can do this by multiplying the 0.375 x 2 = 0.750 = 3/4
Then counteracting 4 = 1 to 8 = 1 and keeping the top fraction.
1/2 of 3/4 = 3/8
3/8 x 2 = 0.75
0.75 /2 = 0.375
question 2 <><><><><><><><><><><>
Answer:
I deserve brainliest just as all good boys deserves fudgeeeeee
Step-by-step explanation:
v^2 = 25/81
v= the square root of 25/81 = 5/9
since that isn't a choise, don't simplify.
D works too because negative x negative = positive
CCCCCCC
Answer:
C & D
Step-by-step explanation:
[tex]v^2=\frac{25}{81} \\v=\sqrt{\frac{25}{81}} , -\sqrt{\frac{25}{81}}[/tex]
Kiran says we should add the constraint 1 is greater than or less than 0
1. What is the reasoning behind this constraint?
-
2. What other "natural constraint" like this should be added?
To convert a distance of 4500 yards to miles, which ratio could you multiply
by?
O A.
1760 miles
1 yard
B.
5280 feet
1 mile
C.
1760 yard's
1 mile
D.
1 mile
1760 yards
SUBMIT
I'm so sorry but I forgot and some of my notes are at school ( don't mind the yellow/orange high light )
Answer:
its a scalene triangle
Step-by-step explanation:
a) write in simplified form the value of the area of the trapesoid.
Answer:
[tex]A=\frac{x^4y^9+3x^4y^9}{2}4x^2y^5=2x^4y^9(4x^2y^5)=8x^6y^{14}[/tex]
Determine the value of z in the figure answers: z = 50° z = 45° z = 10° z = 30°
Answer:
z = 10°
Step-by-step explanation:
Since the two sides are equal, the two base angles have to be equal
That means that 5z and 130 form a straight line and add to 180 degrees
5z+130 = 180
Subtract 130 from each side
5z = 50
Divide by 5
5z/5 = 50/5
z=10
Six times a number is greater than 20 more than that number. What are the possible values of that number?
N<4
N>4
N> 20/7
N<20/7
Answer:
N>4
Step-by-step explanation:
Plugin numbers based on your options. Just check if any number less than four fits, if not, next option. In this case if you plug in 4, 4 * 6 = 24 which is equal to 20 more than 4 which is 24. Since our option is N>4 we can try 5 which will work and so will every number after that.
HELP ASAP :(
How are the following three expressions different from each other, if indeed they are? do not just state the value of each but explain what may be the same or different. Be as specific as you can be in your response.
1.(-2)^2
2.-2^2
3. -(2)^2
Answer:
1. 4
2. -4
3. -4
Step-by-step explanation:
Let's look carefully at each problem and explain it.
1. (-2)^2
This means find the square of the number -2. Since the square of a number means multiplying the number by itself, then
(-2)^2 means the product (-2) * (-2),
and since the product of two negative numbers is positive, then
(-2)^2 = (-2) * (-2) = 4
Answer is 4.
2. -2^2
Here, the exponent applies only to the 2, not to -2. This problem means square 2 and then take the opposite of the product. This can be written as
-(2^2)
-2^2 = -(2^2) = -(2 * 2) = -(4) = -4
Answer is -4.
3. -(2)^2
This is the same as problem 2 above. You square the 2 first, then take its negative.
-(2)^2 = -(2^2) = -(2 * 2) = -(4) = -4
Answer is -4
25
Write the number 0.5 in the form , using integers, to show that it is a rational number.
5/11
5/100
5/10
2/1
Answer:
5/10
Step-by-step explanation:
0.5 is 5 tenths which is 5/10
What are the similarities and differences between the standard form and vertex form of a quadratic equation?
Step-by-step explanation:
Standard form is ax^2 + bx + c. Vertex form is a(x-h)^2 + k, which reveals the vertex and axis of symmetry. Factored form is a(x-r)(x-s), which reveals the roots.
What is the vertex of the quadratic function below?
y = 3x2 - 12x+17
Answer:
D (2, 5)
Step-by-step explanation:
To find the vertex of the quadratic function , we will follow the steps below
(x,y) = [-b/2a , f(-b/2a)]
x = -b /2a y = f(-b/2a)
The standard equation of a quadratic equation is y =ax² + bx + c
compare the above with the equation given, y = 3x² - 12x + 17
a = 3 b= -12 and c= 17
x = -b/2a
x = -(-12)/2(3)
x = 12/6
x = 2
y = f(-b/2a)
y = f (-b/2a) = f(x) = f (2)
y = f(x) =3x² - 12x + 17
To find f(2) simply mean to substitute x = 2 into the quadratic function above. That is;
f(2) = 3(2)² - 12(2) + 17
f(2) =12-24 + 17
f(2) =5
x = 2 and y = 5
(x,y) = (2, 5)
Q: A monomial usually has the form axn, where a is any number and n is a nonnegative integer. True or False
Hello, please help me out!
Answer:
True
Step-by-step explanation:
Yes this is a correct statement because a monomial usually has only one term and no + or - sign dividing the terms. For example 3x is a monomial which can be written as x*3
can anyone help me and please explain
The answer is r=2/5b