Answer:
2y + ( x- 20)= 500
y= 520-x/2
Step-by-step explanation:
Let the weight of George be x and the weight of the suspect be y .
The swing can hold a maximum of 500 pounds .
Twice the weight of suspect added with 20 pounds less than the weight of George equals 500.
2y + ( x- 20)= 500
or
2y+x- 20 = 500
adding 20 to both sides
2y+x -20 +20= 500+ 20
or
2y +x = 520
Subtracting x from both sides
2y+ x-x = 520-x
or
2y = 520-x
Dividing by 2 on both sides
y= 520-x/2
The suspect's weight is y= 520-x/2
Answer:
s = 260 - g/2
Step-by-step explanation:
Given the following :
Maximum weight swing can hold = 500 pounds
Let suspect's weight = s
George's weight = g
To reach maximum weight :
Double weight of suspect + (George's weight - 20)
Hence, equation:
2s + (g - 20) = 500
2s + g - 20 = 500
2s + g = 500 + 20
2s + g = 520
2s = 520 - g
Divide through by 2
s = 260 - g/2
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)
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
11/12 - (1/3 + 1/4) =?
Answer:
I won't put a step by step since I converted the equations into decimals which I don't think will help you.
Step-by-step explanation:
0.33 or -0.33 depends on which you look at it.
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.
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
[tex] \frac{7}{10} \times \frac{3}{7} [/tex]
cuánto es?
Answer:
thats the answer
Jayden starts with $1575 in a college savings account. His account earns interest at a rate of 2.7% compounded annually. How much money is in the account after 9 years?
Step-by-step explanation:
2.7/100*1575=42.525
then for 9years
9*42.525=$382.725
plz help asap im being timed and i only have 20 minutes left
Answer:
first question is B
second F
third C
fourth pretty sure its C
last C
Step-by-step explanation:
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!
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
what is the distance between -4 and 6 in units
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
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
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:
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:
could someone please answer these 3 questions?? ty :))
Answer:
1. -12 2. you get - 3. -6
Step-by-step explanation:
Well hope that makes sense. Please heart.
12 plus -12 is 0. -3 plus 2 is -1 or -. -4 plus -2 is -6.
You add -12 to 12 to make it zero.
If you have - - - and add + + you get -1.
If you have - - - - and add - - you get -6.
What is the average rate of change for a
babysitter that earns $9 for 1hr and $36
for 4 hrs?
3
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.
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.
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
Jocelyn bought 18 chicken wings for $9. What was the cost of the wings in wings per
dollar?
Answer:
Step-by-step explanation: 18 wings = 9$
divide by eighteen
1 wing = 1/2 $
1/2 $ = 0.5 $
answer is 0.5 $ or 50 c per wing
8
Which angles are vertical angles?
6
5
Answer:
angle 8 and angle 5
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.
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
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:
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
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
Mr. Thomas drove from Banesville to Tempe and back.
How many miles did he save driving this route instead of driving
from Banesville to Georgetown to Tempe and back the same way?
Please HELP
Answer:
what are the answer options
Step-by-step explanation:
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]
Find a4 in the sequence
Asap
Answer:.
Step-by-step explanation:.