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kherson [118]
4 years ago
13

Solve. 5 = –(–z + 3) a. –8 b. 8 c. –2 d. 2

Mathematics
2 answers:
Harlamova29_29 [7]4 years ago
6 0

-(-z + 3) equals z - 3

5 = z - 3

z = 8

gulaghasi [49]4 years ago
5 0
-(-z + 3) equals z - 3
5 = z - 3
z = 8
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What are the coordinates of the pre image of B
garik1379 [7]

Answer:

Point B = (-8 , -2) ⇒ the second answer

Step-by-step explanation:

∵ The figure ABCD is reflected across the x-axis

∴ The sign of y-coordinates of each point will change

Ex: If the point (x , y) reflected across the x-axis

     its image will be (x , -y)

∵ B' = (-8 , 2)

∴ B = (-8 , -2) ⇒ the second answer

3 0
3 years ago
Read 2 more answers
A commuter railway has 800 passengers a day and charges each one 2 dollars. ?
Fiesta28 [93]

Answer:

I= -20p^2 + 840p

Step-by-step explanation:

When the ticket price is $2 there are 800 passengers daily, but every $0.1 increase in ticket price the number of passengers will be decreased by 2.  

You can put information into these equations of:

passenger- = (800-2x)

ticket price= p = $2 + 0.1x

Income is calculated by multiplying the number of the passenger with the ticket price. The answer will be expressed in terms of the ticket price, so we need to remove x from the passenger equation.

p= $2 +0.1x

p-$2 = 0.1x

x= 10p- $20

If  p= ticket price, the function for the number of passengers it will be:

passenger = (800-2x)

passenger = 800- 2(10p- $20)

passenger =800- 20p+40

passenger =840- 20p

The function of I will be:

I= passenger x ticket price

I=  840- 20p * p

I= -20p^2 + 840p

4 0
3 years ago
At their annual car wash, the science club washes 30 cars in 45 minutes. at this rate, how many cars will they wash in 1 hour?
alekssr [168]

Answer:

https://socratic.org/questions/at-their-annual-car-wash-the-science-club-washes-30-cars-in-45-minutes-at-this-r

Step-by-step explanation:

answer is in here yw

6 0
3 years ago
Read 2 more answers
Use a graph to find x and y values that make both y=-x+3 and y=2x−5 true.
xeze [42]

Answer:

(8/3,1/3)

Step-by-step explanation:

Two attachments with two methods.

8 0
3 years ago
The temperature at a point (x,y,z) is given by t(x,y,z)=200e−x2−y2/4−z2/9t(x,y,z)=200e−x2−y2/4−z2/9, where tt is measured in deg
yulyashka [42]
First find the gradient by using partial derivatives.

T_x = (-2x)200 e^{(-x^2 -y^2/4 -z^2/9)} \\  \\ T_y = (-\frac{1}{2}y)200 e^{(-x^2 -y^2/4 -z^2/9)} \\  \\ T_z = (-\frac{2}{9}z)200 e^{(-x^2 -y^2/4 -z^2/9)}

Sub in given point (0,-1,2) for x,y,z
∨T = (T_x, T_y,T_z) = (0,100e^{-25/36, \frac{-800}{9} e^{-25/36})

Next, find unit vector from directional vector (0,-1,2) --> (-3,4,-3)
v = (-3-0, 4-(-1), -3-2) = (-3,5,-5) \\  \\ ||v|| = \sqrt{(-3)^2 + 5^2 + (-5)^2} = \sqrt{59} \\  \\ u = (\frac{-3}{\sqrt{59}}, \frac{5}{\sqrt{59}},\frac{-5}{\sqrt{59}})

Finally, use dot product on gradient and unit vector to get directional rate of change.
Answer is approx 61.398 
8 0
3 years ago
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