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3 years ago

Please answer both

1 answer:

iogann1982 [59]3 years ago

3 0

Every function is a relation because the numbers have relationships but not every relation is a function because for it to be a function there has to be one y fo every x if any x(input) has more than one y(output) it's not a function

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Which of these scales are equivalent to 3 cm to 4 km? select all that apply. recall that 1 inch is 2.54 cm

AlladinOne [14]

Answer:

1. 0.75 cm to 1 km

4. 0.3 mm to 40 m

Step-by-step explanation:

we have the scale

$\frac{3}{4}\frac{cm}{km}=0.75\frac{cm}{km}$

<u><em>Verify each case</em></u>

case 1) 0.75 cm to 1 km

$\frac{0.75}{1}\frac{cm}{km}=0.75\frac{cm}{km}$

therefore

The scale is equivalent to the given value

case 2) 1 cm to 12 km

$\frac{1}{12}\frac{cm}{km}=0.08\frac{cm}{km}$

$0.08\frac{cm}{km} \neq 0.75\frac{cm}{km}$

therefore

The scale is not equivalent to the given value

case 3) 6 mm to 2 km

Remember that

1 cm= 10 mm

1 mm=0.1 cm

we have

$\frac{6}{2}\frac{mm}{km}=\frac{0.6}{2}\frac{cm}{km}=0.30\frac{cm}{km}$

$0.30\frac{cm}{km} \neq 0.75\frac{cm}{km}$

therefore

The scale is not equivalent to the given value

case 4) 0.3 mm to 40 m

Remember that

1 cm= 10 mm -----> 1 mm=0.1 cm

1 km=1,000 m ----> 1 m=0.001 km

we have

$\frac{0.3}{40}\frac{mm}{m}=\frac{0.03}{0.04}\frac{cm}{km}=0.75\frac{cm}{km}$

$0.75\frac{cm}{km}=0.75\frac{cm}{km}$

therefore

The scale is equivalent to the given value

case 4) 1 inch to 7.62 km

Remember that

1 in= 2.54 cm

we have

$\frac{1}{7.62}\frac{in}{km}=\frac{2.54}{7.62}\frac{cm}{km}=0.33\frac{cm}{km}$

$0.33\frac{cm}{km} \neq 0.75\frac{cm}{km}$

therefore

The scale is not equivalent to the given value

6 0

3 years ago

Solve for x................

alexandr402 [8]

Answer:

Option C

$x={1(+/-)2\sqrt{3}}$

Step-by-step explanation:

we have

$x^{2}-2x-11=0$

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2}-2x-11=0$

$a=1\\b=-2\\c=-11$

substitute

$x=\frac{-(-2)(+/-)\sqrt{-2^{2}-4(1)(-11)}} {2(1)}$

$x=\frac{2(+/-)\sqrt{4+44}} {2}$

$x=\frac{2(+/-)\sqrt{48}} {2}$

$x=\frac{2(+/-)4\sqrt{3}} {2}$

$x={1(+/-)2\sqrt{3}}$

8 0

2 years ago

Read 2 more answers

12 points for!

Kruka [31]

Answer:

(x, y) ⇒ (x -2, y +2)

Step-by-step explanation:

Reflection across the line y = x+2 has the effect of interchanging x and y and translating by (-2, 2).

Reflection across the line y = x+4 has the effect of interchanging x and y and translating by (-4, 4).

The composition of these transformations is then ...

(x, y) ⇒ ((x +2) -4, (y -2) +4) = (x -2, y +2)

7 0

3 years ago

PLEASE HELP! 40 POINTS

Vedmedyk [2.9K]

I'd start with setting up the equations. Calling x the number of students in most popular country 1, and y in country 2.

x + y = 44740

x - y = 5672

now solve for x1 and x2. You can subtract second from first:

0 + 2y = 39068

y = 19534

x = 5672 + 19534 = 25206

Add a sentence to answer it in words.

7 0

2 years ago

Read 2 more answers

Please answer asap thanks

Bad White [126]

Answer:

7y - 28

Step-by-step explanation:

if you multply 7 with inside parenthesis you will get 7y - 28.

4 0

3 years ago