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2 years ago

Graph the line with slope -3 passing through the point (2,4)

Mathematics

1 answer:

sveticcg [70]2 years ago

4 0

Answer:

f(x) = -3x + 10

Step-by-step explanation:

Substitute values to find b;

y=mx+b

y=-3x+b

<em>Replace X and Y</em>

4=-3(2)+b

4=-6+b

<em>Swap sides to set equal to b. Swapping causes sign change</em>

4+6=b

10=b

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F Tell whether the statement is true or false.

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Answer:

A true

Step-by-step explanation:

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3 years ago

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3 years ago

For each of the following functions, determine if they are injective. Also determine if theyare surjective. Also determine if th

timurjin [86]

Answer:

Check below

Step-by-step explanation:

1. Definition for intervals

$(a,b)=\left \{ x\in\Re : a$

2. Functions

1) $\Re \rightarrow \Re \\ f(x)=x$

Let's perform graph tests.

That's an one to one, injective function. Look how any horizontal line touches that only once. Also, It's a surjective and a bijective one.

2) $\Re\geq0\rightarrow\Re , f(x)=x+1\\$

Injective, surjective and bijective.

Injective: a horizontal line crosses the graph in one point.

3) $f:\Re\geq 0\rightarrow\Re, f(x) = cos(x)$

The cosine function is not injective, bijective nor surjective.

4) $f:\Re\rightarrow\Re \:f(x)=ex$

Since e, is euler number it's a constant. It's also injective, surjective and bijective.

5) Quite unclear format

$6) \:f:\Re\rightarrow(0,\infty), f(x) =ex$

Despite the Restriction for the CoDomain, the function remains injective, surjective and therefore bijective.

$7) f:\Re\geq 0 \rightarrow \Re\geq0, f(x) =x^{4}$

Not injective nor surjective therefore not bijective too.

$8).f:\{-1,2,-3\}}\rightarrow \{1,4,9\}, f(x) =x^{2}$

$f(-1)=1, f(2)=4, f(-3)=9$

Injective (one to one), Surjective, and Bijective.

$10) f:\Re\geq 0\rightarrow [-1,1], f(x)= cos(x)\\-1=cos(x) \therefore x=\pi,3\pi,5\pi,etc.$

Surjective.

$11.f:R\geq 0[-1,1], f(x) = 0\\$

Surjective

12.f: US Citizens→Z, f(x) = the SSN of x.

General function

13.f: US Zip Codes→US States, f(x) = The state that x belongs to.

Surjective

7 0

2 years ago

On an average day, a garden snail can travel about 0.05 mile. The snail travels 0.2 times as far as the average distance on day

daser333 [38]

Answer: 0.04 miles

SOLUTION

Given,

Average daily distance of a garden = 0.05 mile.

Distance traveled on day 1 = 0.2 times as far as the average distance

= 0.2 x 0.05 miles

= 0.01 miles

Distance traveled on day 2 = 0.6 times as far as the average distance

= 0.6 x 0.05 miles

= 0.03 miles

Total distance traveled in two days

= Distance traveled on day 1 + Distance traveled on day 2

= 0.01 miles + 0.03 miles

= 0.04 miles

6 0

3 years ago

I have 7 candles lit 2 go out how many do i have left

ASHA 777 [7]

If you have 7 candles lit and 2 go out, the number of candles left is given by

7 - 2 = 5

Therefore, 5 candles are left lit.

8 0

3 years ago