The correct answer is b) 3(3x - 2)
In order to factor this, you have to find the greatest common factor of 9x and 6. Since 6 does not have an x in it, we cannot pull out an x. Instead we have to look for the biggest whole number that goes into 9 and 6, which is 3.
Next, to take the 3 out, we need to divide each term by 3.
9x/3 = 3x
-6/3 = -2
So the 3 comes out and the results above go together in the parenthesis.
3(3x - 2)
[tex] 9x-6=3(3x-2)\implies\text{B} [/tex]
Name the sets of numbers to which -1/2 belongs
A.integers,rational numbers
B.whole numbers,natural numbers, integers
C.whole numbers,integers,rational numbers
D.rational numbers
What fraction of the word, "Supercalifragilisticexpialidocious" has the letter 'i' in it?
The fraction of the word 'Supercalifragilisticexpialidocious' that has the letter 'i' is 7/34, which is already in its simplest form.
The word 'Supercalifragilisticexpialidocious' contains 34 letters. To find what fraction of this word has the letter 'i' in it, we first need to count how many times the letter 'i' appears. The letter 'i' appears 7 times in the word. Therefore, the fraction of the word that has the letter 'i' in it is 7/34.
It is important to note that this fraction can be simplified. However, since both 7 and 34 are prime numbers with respect to each other (they have no common factors other than 1), the fraction 7/34 is already in its simplest form.
a system of two equations contains one quadratic equation and one linear equation. the quadratic system of the equation is y=x^2+5x-9. the solutions of the system are (3,15) and (-1,-13). what is the linear equation in the system?
Help if you don't mind!
As 25 foot building casts a 8 foot shadow. How tall is the building that casts a 20 foot shadow at the same time?
Under which market structure does a firm have negligible influence over product pricing
Answer:
perfect competition
Step-by-step explanation:
because i did the test.
Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.
solve the equation x-5=15 and state Euclid's axiom used
Adeeb bought 5 oranges and 15 apples from the farmer's market. The equation 5r+15a=10.5 represents the amount of money he spent. Faye bought 12 oranges and 11 apples, represented by the equation 12r+11a=11.45 . What was the cost of each apple
Mr. Jimenez deposited money into an account in which interest is compounded quarterly at a rate of 2.6%.
How much did he deposit if the total amount in his account after 4 years was $7160.06, and he made no other deposits or withdrawals?
Formula Is : A = P ( 1 + r/n ) ^ n * t
Answer Choices:
a. $6455
b. $6798
c. $6887
d. $6977
Answer:
Option a. [tex]\$6,455[/tex]
Step-by-step explanation:
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
[tex]t=4\ years\\ A=\$7,160.06\\ r=0.026\\n=4[/tex]
substitute in the formula above and solve for P
[tex]7,160.06=P(1+\frac{0.026}{4})^{4*4}[/tex]
[tex]7,160.06=P(1+\frac{0.026}{4})^{4*4}[/tex]
[tex]P=7,160.06/1.109227=\$6,455[/tex]
How many points did the team score in the 11th game and why?
how can you eliminate fraction from each side of the equation to make finding the solution easier 1/2(x-4)=1/3x+2
What is the value of n?
A number written below and to the right of a chemical symbol in a formula is called a
Can someone solve this and show your work
g=6x
Solve for X
A rectangle is 13 yards long and 23 yards wide. What is the area of the rectangle? Enter your answer in the box as a fraction in simplest form. $$ yd2
Answer:
2/9
Step-by-step explanation:
The equation of line A is y = 7x + 12. Line B is perpendicular to line A and passes through the point . What would be the solution to the system of equations represented by line A and line B?
The solution to the system of equations involving line A (y = 7x + 12) and a perpendicular line B passing through a given point involves finding the negative reciprocal of the slope of line A for line B, using the point-slope formula to get line B's equation, and solving the system to find their point of intersection.
Explanation:The question revolves around finding the equation of line B, which is perpendicular to line A (y = 7x + 12) and passing through a given point, then solving the system of equations formed by lines A and B. First, we identify that the slope of line A is 7. Since line B is perpendicular to line A, its slope will be the negative reciprocal of 7, which is -1/7. Assuming the point it passes through is provided in the question, we can use the point-slope formula y - y1 = m(x - x1) to find the equation of line B. After determining the equation of line B, we solve the system of equations represented by lines A and B to find the point of intersection, which will be the solution to the system.
To solve the system of equations, we would set the equations equal to each other and solve for one variable, then substitute back to find the other variable. This process involves algebraic manipulation such as substitution or elimination method. The final solution will be the coordinates (x,y) where both lines intersect.
Calculate the monthly finance charge based on the following data: Average daily balance = $40.00 Daily periodic rate = 0.06% (state as a decimal) Days in cycle = 25
Answer: 60 cents
Step-by-step explanation:
steve paid 10% tax on a purchase of 40$ . select the dollar amount of the tax ad the total dollar amont steve paid on the number line.
Polygon ABCD has vertices A(0, 2), B(0, 8), C(7, 8), and D(7, 2). What is polygon ABCD and its perimeter? (Hint: Draw the polygon on the coordinate plane and find the slopes of each side.)
A. rectangle; P = 26 linear units
B. square; P = 42 units2
C. parallelogram; P = 42 linear units
D. trapezoid; P = 26 linear units,
Answer:
Option A.
Step-by-step explanation:
The vertices of Polygon ABCD are A(0, 2), B(0, 8), C(7, 8), and D(7, 2).
Plot all vertices on the coordinate place.
If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the slope of the line is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
First we need find the slope of each sides, using the above formula.
[tex]m_{AB}=\frac{8-2}{0-0}=\infty[/tex]
[tex]m_{BC}=\frac{8-8}{7-0}=0[/tex]
[tex]m_{CD}=\frac{8-2}{7-7}=\infty[/tex]
[tex]m_{AD}=\frac{2-2}{7-0}=0[/tex]
The slope of vertical lines is ∞ and slope of horizontal line is 0. It means sides AB and CD are vertical lines and sides BC and AD are horizontal lines.
Vertical and horizontal lines are perpendicular to each other. It means all interior angles of the polygon are right angles.
From the below figure it is clear that
[tex]AB=6[/tex]
[tex]BC=7[/tex]
[tex]CD=6[/tex]
[tex]AD=7[/tex]
Opposite sides are equal and interior angles are right angles, so the polygon is a rectangle.
Perimeter of the polygon is
[tex]Perimeter=AB+BC+CD+AD[/tex]
[tex]Perimeter=6+7+6+7=26[/tex]
Perimeter of polygon ABCD is 26 linear units.
Therefore, the correct option is A.
A cylinder has a radius of 12 m and a height of 9 m.
What is the exact volume of the cylinder?
108π m³
216π m³
972π m³
1296π m³
I'm pretty sure its 1296π m³ Hope this helps!
What is a width of a rectangular prism with a length of 13 ft , vouime of 11,232 cubic feet, and height of 36 ft.?
Regular Polygons multiple choice
I think it's a - 60 but I'm not sure
Find the values of a and b for which LMNO is a parallelogram.
A.
a = 50, b = 60
B.
a = 60, b = 50
C.
a = 50, b = 70
D.
a = 70, b = 50
What is the value of the function, then determine if the graph opening up or down f(x)=-5(x+7)^2+6?
A. a= -5, opens down
B. a= -5, opens up
C. a= 7, opens up
D. a= 7, opens down
NEED HELP PLZZ!!! Question 1. What are the dimensions of the matrix? {6,2,8,3}
A:1x4
B:1x1
C:4x4
D:4x1,
Solve f(2) for f(x)=x-51
f(2)= [?]
Simplify 3 ∙ 2x. What is the coefficient?
PLEASE ANSWER QUICK!!!SHOW STEPS
Gisele trains 7 days per week for a biathlon. She covers a total of 20 miles cycling and running each day. Gisele cycles a total of 105 miles each week, and runs a certain number of miles per week. If she cycles the same number of miles each day and runs the same number of miles each day, the equation 1/7(105+r)=20 represents the situation. Which describes the solution, r , to this equation?
To solve the equation, it was first required to get rid of the fraction by multiplying both sides by 7 and then to isolate r, the running miles, you subtract 105 from both sides resulting in Gisele running 35 miles per week.
Explanation:The question is asking to find the number of miles Gisele runs each week, which is represented by the variable r in the equation. We start with the equation: 1/7(105 + r) = 20. This equation is derived from the fact that Gisele covers a total of 20 miles each day, for 7 days, and that total comprises both her cycling and running mileages. If she cycles 105 miles each week, then the distance she runs is the remaining part of those total 20 miles she covers each day. We multiply both sides of the equation by 7 to get rid of the fraction: 105 + r = 140. Now, if we subtract 105 from both sides of the equation, we get the solution for r as; r = 140 - 105 = 35 miles. Hence, Gisele runs 35 miles each week.
Learn more about Algebraic Equations here:https://brainly.com/question/953809
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The owner of a shop bought a scarf at the wholesale price of $8.00 and marked it up by 300%. What is the selling price?