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Novay_Z [31]
2 years ago
13

A wall map has a scale of 128 Mi equals 6 in the distance between Springfield and Lakeview is two feet on the map what is the ac

tual distance between Springfield and Lakeview
Mathematics
1 answer:
amm18122 years ago
6 0
Divide 2 feet into groups of 6 inches and get 4 groups. multiply 128 by 4 and 512 for your distance

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Which function represents transforming ƒ(x) = 3x with a reflection over the x-axis and a vertical shift of 4 units?
Oxana [17]

Answer:

D. h(x)=-3x+4

Step-by-step explanation:

we are given

f(x)=3x

Firstly, it is reflected over x-axis

we know that for reflection about x-axis , we can replace y as -y

we get

g(x)=-f(x)

g(x)=-3x

now, it is vertical shift up by 4 units

so, we can add 4 to y-value

we get

h(x)=g(x)+4

h(x)=-3x+4

4 0
3 years ago
The math teachers decided to throw a party. One teacher bought 7 cookies and 2 ice cream bars for $10.95. Another teacher bought
tatyana61 [14]

Answer:

0.95, 2.15

Step-by-step explanation:

cookie-x

ice bar-y

7x+2y=10.95 (*3)

4x+3y=10.25 (*2)

21x+6y=32.85

8x+6y=20.5

21x-8x=32.85-20.5=12.35

13x=12.35

x=0.95

2y=10.95-7*0.95=4.3

y=2.15

8 0
3 years ago
A 5-meter ladder is leaning against the side of a house. The foot of the ladder is pulled away from the house at a rate of 0.4 m
Flura [38]
<h2>The top of the ladder is descending at 0.3 m/s.</h2>

Step-by-step explanation:

By Pythagoras theorem we know that

              Hypotenuse² = Base² + Perpendicular²

                   h² = b² + p²

We have for ladder

                        h = 5 m

                        b = 3 m

                        5² = 3² + p²

                        p = 4 m

                        \frac{db}{dt}=0.4m/s\\\\\frac{dh}{dt}=0

Differentiating h² = b² + p² with respect to time

                    2h\times \frac{dh}{dt}=2b\times \frac{db}{dt}+2p\times \frac{dp}{dt}\\\\5\times 0=3\times 0.4+4\times \frac{dp}{dt}\\\\\frac{dp}{dt}=-0.3m/s

The top of the ladder is descending at 0.3 m/s.

3 0
3 years ago
Find the limit, if it exists.<br> Picture provided below.
Alja [10]

The answer is 20 because you plug in x=2 into f(x)

3 \times 2 {}^{3}  + 2^{2}  - 8 = 20

7 0
3 years ago
The decimal 0.26 as a fraction
Nitella [24]
Simplified: 13/50
Not Simplified: 26/100
4 0
3 years ago
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