Answer:
The slope of the points (-3,2) (-5,-2) is 2
The slope of the points (7,1) (1,-7) is 4/3
Step-by-step explanation:
Use rise over run (y2 - y1) / (x2 - x1)
Plug in the points given and find the slopes:
(y2 - y1) / (x2 - x1)
(-2 - 2) / (-5 + 3)
-4/-2
= 2
Find the next slope:
(y2 - y1) / (x2 - x1)
(-7 - 1) / (1 - 7)
-8/-6
= 4/3
The slope of the points (-3,2) (-5,-2) is 2
The slope of the points (7,1) (1,-7) is 4/3
Three families bought food at the baseball game. The Smith family spent $16.50 on 3 hot dogs, 2 sodas, and 1 candy bar. The Patterson family spent $26 on 4 hot dogs, 4 sodas, and 2 candy bars. The Nguyen family spent $13.75 on 2 hot dogs, 1 soda, and 3 candy bars. Which of the following systems of equations could be used to determine the price of each item?
Answer:
Step-by-step explanation:
Let
Price of
Hotdogs = x
Sodas = y
Candy bar = z
Smith family
Hotdogs = 3
Sodas = 2
Candy bar = 1
Total cost = $16.50
3x + 2y + z = 16.50
Patterson family
Hotdogs = 4
Sodas = 4
Candy bar = 2
Total = $26
4x + 4y + 2z = 26
Nguyen family
Hotdogs = 2
Sodas = 1
Candy bar = 3
Total cost = $13.75
2x + y + 3z = 13.75
The equations
3x + 2y + z = 16.50 (1)
4x + 4y + 2z = 26 (2)
2x + y + 3z = 13.75 (3)
Multiply (1) by -2
-2(3x + 2y + z = 16.50)
-6x - 4y - 2z = -33
-6x - 4y - 2z = -33 (1a)
4x + 4y + 2z = 26 (2)
Add (1a) and (2)
-6x + 4x = -33 + 26
- 2x = -7
x = -7/-2
= 3.5
x = $3.5
Multiply (3) by -4
-4(2x + y + 3z = 13.75) (3)
-8x - 4y - 12z = -55 (3a)
Add (3a) and (2)
-8x - 4y - 12z = -55 (3a)
4x + 4y + 2z = 26 (2)
-8x + 4x -12z + 2z = -55 + 36
-4x - 10z = -29
Substitute the value of x into
-4x - 10z = -29
-4(3.5) - 10z = -29
-14 - 10z = -29
-10z = -29 + 14
-10z = - 15
z = -15 / - 10
= 1.5
z = $1.5
Substitute values of x and z into (1)
3x + 2y + z = 16.50
3(3.5) + 2y + 1.5 = 16.50
10.5 + 2y + 1.5 = 16.50
12 + 2y = 16.50
2y = 16.50 - 12
2y = 4.50
y = 4.50 / 2
y = $2.25
PAY ATTENTION FOR MEGA POINTS!!!
Sam has 6 eggs. She broke 2 of them, cooked 2 of them, and ate 2 of them.
how many eggs are left?
Answer:
she still has 6
Step-by-step explanation:
she still has six because even though she broke them, cooked them and ate them there are still 6 eggs?
i dont know really lol
there will be 4 more left bc she broke two of them that means she cracked two of them then those are the ones that she ate.
what is 2.2 * 5.1 what is the answer
Answer:
11.22 is the answer thank you
Answer:
11.22
Step-by-step explanation:
Martin is an after school math tutor . He noticed that 6 people still needed help on 2/5 of the tutoring session time was left.Scince each person was given an equal amount of time, martin wrote the expression below to find the fraction or the toutoring session each person who still needed help would be allotted. 2/5 divided by 6 which expression is equivalent to martins expression?
Answer:
6/15 ÷ 6
Step-by-step explanation:
Martin is an after school math tutor
He noticed that 6 people still needed help on 2/5 of the time that was left
Martin wrote the expression
2/5 ÷ 6
This expression can be used to determine the number of persons who still need help
Therefore the expression that is equivalent to Martin's expression is
= 6/15 ÷ 6
Using 3 to divide both 6 and 5 will give
2/5 ÷ 6
Hence the expression which is equivalent to Martin's expression is 6/15 ÷ 6
Answer:
A 6/15 divided by 6 on edge
Which expression is equivalent to 30(1/2x-2)+40(3/4y-4)?
Answer:
15x+30y-220
Step-by-step explanation:
Took the test!
Answer:
The person above is correct I got it right on edge quiz 2021
Step-by-step explanation:
!!!!!!!hope I helped lol
Find the root(s) of f(x) = (x + 5)2(x - 9)2(x + 1).
-5 with multiplicity 3
5 with multiplicity 3
-9 with multiplicity 2
9 with multiplicity 2
-1 with multiplicity 0
-1 with multiplicity 1
N1 with multiplicity o
with multinlicity 1
Answer:
x = -5,-1, 9. -1 with multiplicity 1, 9 with multiplicity 1, and -5 with multiplicity 1.
Step-by-step explanation:
the coefficients do not change the roots of the equation but rather the local minima and maxima, and Minimum or Maximum depending on the function.
Answer:
-1 with multiplicity 1
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPMEEEEEEEEEEEEEEEEE!!
Use the information to answer the following question.
the table shows the relationship between the number of hours, h, jorge has been hiking
and the total distance, d,he has traveled in kilometers.
The graph shows the distance sara hiked over the same period of time.
who hikes faster?Explain.
Answer:
Step-by-step explanation:
Sara is faster she got a longer distance to Jorge
V I’mhjhvcbjvcvjhvvvggujvvcghhhvcccgggghh
Answer:
the like terms were not grouped together.
What is the average rate of change for a
babysitter that earns $9 for 1hr and $36
for 4 hrs?
3
Quadrilateral ABCD is translated to get quadrilateral A’B’C’D’. Vertex A is at (-5, 2), and vertex A’ is at (2, -2). Quadrilateral ABCD is translated blank. If vertex B is at (-6, 5), then vertex B’ is at blank
Answer:
vertex B' is at (1, 1)
Step-by-step explanation:
Let us revise the rules of translation of a point
If the point (x, y) translated horizontally to the right by h units then its image is (x + h, y) ⇒ T (x, y) → (x + h, y)If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)If the point (x, y) translated vertically up by k units then its image is (x, y + k)→ (x + h, y) ⇒ T (x, y) → (x, y + k)If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)Let us use the rules to solve our question
∵ Vertex A = (-5, 2)
∵ Vertex A' = (2, -2)
→ The coordinates of the two points changed which means the
quadrilateral is translated horizontally and vertically
∵ The x-coordinate of A = -5
∵ The x-coordinate of A' = 2
→ Which means it moves to the right, so use the first rule above
∴ the rule of translation is T (x, y) → (x + h, y)
∴ x → x + h
∵ x = -5 and x + h = 2
∴ -5 + h = 2
→ Add 5 to both sides
∴ -5 + 5 + h = 2 + 5
∴ h = 7
∴ The quadrilateral is translated 7 units right
∵ The y-coordinate of A = 2
∵ The y-coordinate of A' = -2
→ Which means it moves down, so use the 4th rule above
∴ the rule of translation is T (x, y) → (x, y - k)
∴ y → y - k
∵ y = 2 and y - k = -2
∴ 2 - k = -2
→ Add K to both sides
∴ 2 - k + k = -2 + k
∴ 2 = -2 + k
→ Add 2 to both sides
∴ 2 + 2 = -2 + 2 + k
∴ 4 = k
∴ The quadrilateral is translated 4 units down
→ Let us find B'
∵ T (x, y) → (x + h, y - k) is the rule of translation
∵ B = (-6, 5)
∵ h = 7 and k = 4
∴ B' = (-6 + 7, 5 - 4)
∴ B' = (1, 1)
∴ vertex B' is at (1, 1)
Quadrilateral ABCD is translated 7 units right and 4 units down. If vertex B is at (-6, 5), then vertex B′ is at (1, 1)
Adding and Subtracting Functions (20 POINTS and MARK BRAINLIEST)
Question 1: Adding
f(x)=2x+ 4 and g(x)=5x-7
f(x)+g(x)=
A. 7x+11
B. -3x+11
C. 7x-3
D.3x-3
Question 2: Subtracting
f(x)=2x+ 4 and g(x)=5x-7
f(x)-g(x)=
A. 7x+11
B. -3x+11
C. 7x-3
D.3x-3
Question 3: Adding
f(x)=4x²-2x-2 and g(x)=-3²+5x+6
f(x)+g(x)=
A. x²-7x-8
B. x²-3x-4
C. 7x²+3x+4
D. x²+3x+4
Question 4: Subtracting
f(x)=4x²-2x-2 and g(x)=-3²+5x+6
f(x)-g(x)=
A. x²-7x-8
B. x²-3x-4
C. 7x²+3x+4
D. x²+3x+4
Joshua decides to use synthetic division to find the the quotient of (equation provided above).
What value from the divisor should he write in front of the coefficients?
Answer:
the value to be written is -2
Step-by-step explanation:
The first thing we will do here is to set the divisor equals to zero
The divisor is the denominator
Thus, we have x + 2 = 0
This indicates that x = -2
The term to be written in front of the coefficients is -2
Answer:
73.75
Step-by-step explanation:
comment and heart if this was helpful
8
Which angles are vertical angles?
6
5
Answer:
angle 8 and angle 5
Step-by-step explanation:
Consider the matrices. B=[−4025] and C=[0340−11] What is product matrix BC ? Enter your answer by filling in the boxes.
I hope this helps you, I just took this quiz so it is correct.
1- If you ran 12 laps around the track in 4 minutes, what is the unit rate? 2- Lin bought 3 hats for $22.50. At this rateis this rught
Answer:
huh
Step-by-step explanation:
Write the equation of the line that is perpendicular to the line y=(-1/5)x+9 and passes through the point (-2,-2)
Answer:
y = 5x + 8
Step-by-step explanation:
Recall that if two lines are perpendicular, their slopes are negative reciprocals of one another. Thus, given y = (-1/5)x + 9, the slope of any perpendicular is
-1
m = --------- = 5
(-1/5)
Starting out with the slope-intercept equation y = mx + b, we get:
-2 = 5(-2) + C, or C = 8
Thus, the desired equation is
y = 5x + 8
The equation of the line that is perpendicular to the given line is y=5x+8.
Given that, the equation of line y=(-1/5)x+9 and passes through the point (-2,-2).
What is slope of an equation?The slope formula is used to calculate the inclination or steepness of a line. It finds application in determining the slope of any line by finding the ratio of the change in the y-axis to the change in the x-axis.
If m is the slope of a line, then the slope of a line perpendicular to it is -1/m.
Now, slope =-1/5
-1/m = 5
Put m=5 and the point (-2, -2) in y=mx+c and simplify
That is, -2=5(-2)+c
⇒c=8
Substitute m=5 and c=8 in y=mx+c, we get y=5x+8
Therefore, the equation of the line that is perpendicular to the given line is y=5x+8.
To learn more about the slope visit:
https://brainly.com/question/12861818.
#SPJ2
help plz i really need it
Answer:
I think translation then reflection
Step-by-step explanation:
Solve
6x + 5 = 3x + 14
Answer:
x = 3
Step-by-step explanation:
Step 1: Subtract 3x from both sides.
6x + 5 − 3x = 3x + 14 − 3x
3x + 5 = 14
Step 2: Subtract 5 from both sides.
3x + 5 − 5 = 14 − 5
3x = 9
Step 3: Divide both sides by 3.
[tex]\frac{3x}{3} = \frac{9}{3}[/tex]
x = 3
Hope it helps!!
The solution of the linear equation with a single variable 6x + 5 = 3x + 14 will be 3.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
6x + 5 = 3x + 14
Simplify the equation, then we have
6x + 5 = 3x + 14
6x - 3x = 14 - 5
3x = 9
x = 3
The solution of the linear equation with a single variable 6x + 5 = 3x + 14 will be 3.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Please help me with this
Answer:
b. [tex] f^{-1}(x) = x^3 - 2 [/tex]
Step-by-step explanation:
[tex] f(x) = \sqrt[3]{x + 2} [/tex]
[tex] y = \sqrt[3]{x + 2} [/tex]
[tex] x = \sqrt[3]{y + 2} [/tex]
[tex] (x)^3 = (\sqrt[3]{y + 2}^3 [/tex]
[tex] x^3 = y + 2 [/tex]
[tex] y = x^3 - 2 [/tex]
[tex] f^{-1}(x) = x^3 - 2 [/tex]
Answer: b. [tex] f^{-1}(x) = x^3 - 2 [/tex]
will award brainliest!!!
Consider the equation below.
The equation was solved using the following steps.
Answer:
Step-by-step explanation:
Step 1: -3 to 4x and -7 (Multiply)
Step 2: 2x (Add)
Step 3: 21 (Subtract)
Step 4: -10 (Divide by)
I hope this helps!
Find a4 in the sequence
Asap
Answer:.
Step-by-step explanation:.
You walk 2 miles in 1/2 hour. At that rate, how long will it take you to walk 3 miles?
Answer: 3/4 hour or 45 minutes
Step-by-step explanation: 1 hour is 1/4 hour so 1/4 x 3 = 3/4 hour or 45 minutes.
Answer:
45 minutes.
Step-by-step explanation:
Every 15 minutes you walk a mile.
Add 15 again to make 45 minutes.
You have walked 3 miles.
Select the equation that is the inverse of the given function.
x
- 3
f(x) =
5
o
o
o
f-1(x) = 5x + 15
f-1(x) = 5x +3
f-1(x) = 3x - 5
-1(x) = x
wun
DONE
Answer: f-1(x) = 5x+3
Step-by-step explanation: just did the assignments
[tex] \frac{7}{10} \times \frac{3}{7} [/tex]
cuánto es?
Answer:
thats the answer
Please i Need ASAP
I will give brainliest to the correct answer!!!
Answer:
G because it doesn't have an angle to the line like it doesnt lose or pick up speed
Step-by-step explanation:
the prices of stock A at 9am was $12.18 since then the price has been increasing at the rate of $0.06 each hour. At noon the price of stock B was $12.68. It begins to descrease at the rate of $0.09 per hour. If the 2 rates continue in how many hours will the prices of the two stocks be the same?
Answer:
3.33hours
Step-by-step explanation:
Where the number of hours = h
the prices of stock A at 9am was $12.18 since then the price has been increasing at the rate of $0.06 each hour.
The Algebraic expression =
$12.18 + $0.06 × h
12.18 + 0.06h
At noon the price of stock B was $12.68. It begins to descrease at the rate of $0.09 per hour.
$12.68 - $0.09×h
12.68 - 0.09h
If the 2 rates continue in how many hours will the prices of the two stocks be the same?
Stock A = Stock B
12.18 + 0.06h = 12.68 - 0.09h
Collect like terms
0.06h + 0.09h = 12.68 - 12.18
0.15h = 0.5
h = 0.5/0.15
h = 3.3333333333 hours
h = 3.33hours
choose the graph of the translated parent function f(x)=cos(x) where it is translation 3 units up
Answer:c
Step-by-step explanation:move up 3 units on the y axis and create the graph
the coldest temperature on record in town A is -3.33 degrees Fahrenheit. The coldest temperature on record in town B is -3 2/5 Fahrenheit. Which town has the colder temperature?
Answer:
town b
Step-by-step explanation:
-3.33 degrees is smaller than 2/5 of 1.00 because 2/5 is 0.4 so -3.4 degrees is colder than -3.33.
Think about the expression (x-8)(x+4)
Answer:
x*x +4*x-8*x -8*4
x^2+4x-8x-32
x^2-4x-32
help please! click on pic.
Answer:
x=63
y=27
Step-by-step explanation:
to find x
180-117=63
to find y
90-63=27
please mark brainliest if correct
Answer:
x=63, y=27
Step-by-step explanation:
x is part of a line with 117, so you would do 180-117 to find x. Then you do 90-63 to find y, which is 27.