Answer:
[tex]\overrightarrow{AB }=\begin{bmatrix}-4\\3 \end{bmatrix}[/tex]
Step-by-step explanation:
Column Vector
Vectors are matrices having only one column or one row. A vector having only one column is called a column vector, and a vector having only one row is called a row vector.
It's required to find the vector AB as a column vector, and we are given the coordinates of A=(6,4) and B=(2,7).
The vector directed from A to B is found by subtracting its corresponding coordinates:
[tex]\overrightarrow{AB }=<2-6,7-4>[/tex]
[tex]\overrightarrow{AB }=<-4,3>[/tex]
Now we express the vector as a one-column matrix as follows:
[tex]\overrightarrow{AB }=\begin{bmatrix}-4\\3 \end{bmatrix}[/tex]
What is the quotient of 2/3 / 2/9
Answer:
3
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] / [tex]\frac{2}{9}[/tex] =
[tex]\frac{2}{3}[/tex] * [tex]\frac{9}{2}[/tex] =
3
Hope this helped! <3
The ratio 20 minutes to an hour can be written in the form1:n
Answer:
n = 3
Step-by-step explanation:
To go from 20 to 1, you must divide 20 by 20. So, to find n, you must divide 60 by 20
Please please please help
Part A: Marguerite rented a truck at $125 for 2 days. If she rents the same truck for 5 days, she has to pay a total rent of $275. Write an equation in the standard form to represent the total rent (y) that Marguerite has to pay for renting the truck for x days. (4 points) Part B: Write the equation obtained in Part A using function notation. (2 points) Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
Part B: Write the equation obtained in Part A using function notation. (2 points)
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
(10 points)
Answer:
:)
Step-by-step explanation:
Part A: To get an equation into standard form to represent the total amount rented (y) that Marguerite has to pay for renting the truck for x amount of days, we use the formula for the equation of a straight line.
Remember that the equation of a straight line passing through points is ( x_{1} , y_{1} ) and the points ( x_{2} , y_{2} ) is given by
y - y_{1} / x - x_{1} = y - y_{2} / x - x_{2}
Knowing that Marguerite rented a truck at $125 for 2 days, we know if she rents the exact same truck for 5 days, she has to pay a total of $275 for the rent.
This means that the line modeling this situation crosses points at (2, 125) and (5, 275).
The equation modeling the total rent (y) that Marguerite has to pay for renting the truck for x days is given by
y - 125 / x - 2 = 275 - 125 / 5 - 2 = 150 / 3 = 50
But if you are writing the equation in standard form it would be
50x - y = -25
Part B:
When writing the function using function notation it means you are making y the subject of the formula and then replacing the y with f(x).
If you remember that from part A, we have that the equation for the total rent which is y that Marguerite has to pay for renting the truck for x amount of days is given by
y = 50x + 25.
Writing the equation using the function notation would give us this
f(x) = 50x + 25
Part C:
To graph the function, we name the x-axis the number of days and name the y-axis total rent. The x-axis is numbered using the intervals of 1 while the y-axis is numbered using the intervals of 50.
The points of (2,125) and of (5,275) are marked on the coordinate axis and a straight line is drawn to pass through these two points.
What is the slope of the line that goes through the points (6, 4) and (8, -2)?
y=-3x+22
I'm typing this because the answer needs to be longer.
The graph of a certain quadratic function has no x-intercepts. Which of the following are possible values for the discriminant? Check all that apply A. 18
B. -7
C. 0
D. -25
Answer:
c
Step-by-step explanation:
the graph has no side value, therefore the answer is 0
plz help-
I don't wanna fail math-
again...
A credit card company charges a 3.5% transfer fee to transfer a balance to a new account. What would the transfer fee be for a balance transfer of $7,500?
Answer:
$262.5
Step-by-step explanation:
We are told that:
A credit card company charges a 3.5% transfer fee to transfer a balance to a new account.
The transfer fee be for a balance transfer of $7,500 is calculated as:
3.5% × $7500
= 3.5/100 × $7500
= $262.5
The transfer fee for a balance transfer of $7500 is $262.5
In a chemistry lab, acid and water are mixed in the ratio 1 : 5. A bottle contains 228 ml of the mixture. How much water were needed to make this amount of mixture?
Given that,
The ratio of acid and water is 1 : 5.
A bottle contains 228 ml of the mixture.
To find,
How much water were needed to make this amount of mixture.
Solution,
Let acid is x and water is 5x. ATQ,
x+5x = 228
6x = 228
x = 38
Acid = 38 mL
Water = 5x
= 5(38)
= 190 mL
Hence, 190 mL of water is needed.
6v+18-9v=-12
solve for v.
Answer:
v = 10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
6v + 18 - 9v = -12
Step 2: Solve for v
Combine like terms: -3v + 18 = -12Isolate v term: -3v = -30Isolate v: v = 10Step 3: Check
Plug in v into the original equation to verify it's a solution.
Substitute in v: 6(10) + 18 - 9(10) = -12Multiply: 60 + 18 - 90 = -12Add: 78 - 90 = -12Subtract: -12 = -12Here we see that -12 does indeed equal -12.
∴ v = 10 is the solution to the equation.
Solve for x.
1. x=3
2. x=10
3. x=80
4. x=140
Answer:
x=3
Step-by-step explanation:
arrow KPQ=30+x, arrow KRQ=360-30x-50=310-50
angle P= (310-30x)÷2
310-30x=2×110
x=3
I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!!!
Choose one of the following.
Parallel lines have ____________________.
one solution
10 solutions
infinitely many solutions
no solution
Answer:
I believe one solution.
Step-by-step explanation:
please help me!!!!!!!!!!
Should be D. F(X) = 1 over x+1
Answer:
D)F(x)=1/x+1
Step-by-step explanation:
Where
Domain x≠ -1
Vertical intercept (0,1)
I am 100% sure you can go with it
A car can cover a distance of 522 km on 36 litres of diesel . How can far can it travel with 14 litres of diesel?
[tex] \frac{14}{36} \times 522 \\ = 203km \\ \\ [/tex]
hcf of 14 28 and 56 by long division method
Answer:
14
Step-by-step explanation:
Note that 14 is a factor of 28 and also a factor of 56. Thus, 14 is the greatest common factor of 14, 28 and 56.
Answer:
The common factors for 56,28,14 56 , 28 , 14 are −14,−7,−2,−1,1,2,7,14 - 14 , - 7 , - 2 , - 1 , 1 , 2 , 7 , 14 .
Hope that helps
Hey! any help is appreciated!!
I WILL GIVE 15 POINTS
Find the value of x
A. 48
B. 74
C. 66
D. 56
Step-by-step explanation:
48 us the correct answer
Answer:
48
Step-by-step explanation:
how much is 5 quarters and 8 dimes?
Answer:
205
Step-by-step explanation:
Answer: 2.05 dollars
=================================================
Work Shown:
1 quarter = 25 cents
5 quarters = 125 cents .... multiply both sides by 5
1 dime = 10 cents
8 dimes = 80 cents .... multiply both sides by 8
(5 quarters) + (8 dimes) = (125 cents) + (80 cents) = 205 cents
205 cents = 205/100 = 2.05 dollars
-------------------------
Another way to approach the problem is to compute
5*25 + 8*10 = 205
that's the total number of cents
4/5 times 15 in simplest form
Answer:
12
Step-by-step explanation:
4/5 * 15
~Rewrite
4/5 * 15/1
~Multiply
60/5
~Simplify
12
Best of Luck!
Three times the sum of 2 and e.
a) 3e+2
b) 3(e-2)
c) 3(e+2)
d) 2e+3
Answer:
c) 3(e+2)is the right answer.
Answer:
3(e+2)
please mark me brainliest and follow me my friend.
Jessica has a rectangular picture. The picture is similar to a rectangle that measures 4
inches by 6 inches. What could be the dimensions of Jessica's picture
Answer:
it could be 10 inches
Step-by-step explanation:
4+6=10
In adding algebraic expression , we collect different groups of ........................
A. Variable
b. constant
C. like terms
d. unlike terms
Answer:
In adding algebraic expression , we collect different groups of like terms.
Answer:
rule in adding algebraic expression ,we collect different group of like term and unlike term
What is half of 6? What is half of half of 6?
Answer:
The half of 6 is 3 the half of 3 is 1.5 the half of 1.5 is 0.75
(6 x10^2) divided by (3 x 10^-5)
Give your answer in standard form.
Evaluate the function below for X=3:
2x^3 - x^2 - 4x + 9
A. 9
B. 42
C. 60
D. 204
Answer:
42
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
2x³ - x² - 4x + 9
x = 3
Step 2: Evaluate
Substitute in x: 2(3)³ - 3² - 4(3) + 9Exponents: 2(27) - 9 - 12 + 9Multiply: 54 - 9 - 12 + 9Subtract: 45 - 12 + 9Subtract: 33 + 9Add: 42What is 708 Times 8 pls hurry
Hello I really need helo with this assignment!
Answer:
what assignment?
Step-by-step explanation:
i see nothing
Look at the relationship between a and b
Answer:
B
Step-by-step explanation:
Martha drew a pair of intersecting non-perpendicular lines, I and m. She numbered one pair of vertical angles <1 and <2, and she labeled the second pair of vertical angles <3 and <4. Martha made the conjecture that <1 =~ <2 to validate this conjecture, which of the following would be appropriate reasoning?
A. M<1+ M<2 +M<3 + m<4 = 360
B. The sum of the measures of angles of a triangle is 180°
C. The measure of all right is 90°
D. Because <1 and <2 are each supplementary to <3, they are therefore congruent
Answer:
D. Because <1 and <2 are each supplementary to <3, they are therefore congruentStep-by-step explanation:
A. m<1 + m<2 + m<3 + m<4 = 360
Incorrect in terms of the proofB. The sum of the measures of angles of a triangle is 180°
Not relevantC. The measure of all right is 90°
Not relevantD. Because <1 and <2 are each supplementary to <3, they are therefore congruent
CorrectQuestion 7 of 25 Which of the binomials below is a factor of this trinomial? x - 6x-16 O A. X-1 O B. X-8 OC. X-16 O D. x-2
Answer:
(x-8) is the factor.
Step-by-step explanation:
The given trinomial is [tex]x^{2}-6x-16[/tex].
We need to find the factor of this trinomial.
[tex]x^{2}-6x-16=x^2-8x+2x-16\\\\=x(x-8)+2(x-8)\\\\=(x+2)(x-8)[/tex]
The factors of [tex]x^{2}-6x-16[/tex] is (x-2) and (x-8).
So, the factor of [tex]x^{2}-6x-16[/tex] is (x-8). Hence, the correct option is (B).
Translate Q(3,-8) using (x,y)—>(x-6, y + 2)
530.2 grams divided by 3 then take away 47.36
Answer:
Should be 129,37333333
Answer:
Step-by-step explanation:first you divide 530.2/3=176.73, then you subtract 47.36=129.37