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3 years ago

Plot the x- and y-intercepts of function f(x)=x

2 answers:

8 0

This is the basic equation.
There is no shifts, because you don’t see any addition signs.

So, the x and y intercepts are at the origins (0,0).

Hope this helps!

katrin2010 [14]3 years ago

5 0

Because f(x)=x, goes through origin. So x and y -intercept are one point (0,0).

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WILL GIVE BRAINLIEST: If the graph of 2x+3y − 6=0 is perpendicular to the graph of ax − 3y=5. What is the value of a?

Ilya [14]

Answer:

a = $\frac{9}{2}$

Step-by-step explanation:

To find the value of a, find the Slope of both the equations.

For lines to be perpendicular to each other $m_{1}m_{2} = - 1$

For line 1:

2x + 3y − 6 = 0 represent the line in y=mx +c form

3y = -2x + 6

y = $\frac{-2}{3} x$ + $\frac{6}{3}$

y = $\frac{-2}{3} x$ + 2

$m_{1}$ = $\frac{-2}{3}$

For line 2:

ax - 3y = 5

ax = 5 + 3y

ax - 5 = 3y

y = $\frac{ax}{3} - \frac{5}{3}$

$m_{2}$ = $\frac{a}{3}$

Apply the condition of perpendicularity:

$\frac{-2}{3}$ * $\frac{a}{3}$ = - 1

$\frac{2a}{9} = 1$

a = $\frac{9}{2}$

7 0

3 years ago

Can someone help me ASAP PLEASEE!

Vilka [71]

Answer:

Area- (4x+3)(3x-1)

Area- (12x^2 + 9x-4x-3)

Area- (12x^2 +5x-3)

Area- 12x^2 + 5x - 3

Let me know if this helps!

8 0

3 years ago

Please can someone help

Fofino [41]

Answer:

a) 0

b) 1

c) 0

Step-by-step explanation:

These are common values from the unit circle but you could also just check with your calculator. Just be sure to set it to degree mode and not radian mode.

6 0

3 years ago

The graph shows how a motorboat travels around a lake. What does the graph most likely show?

kozerog [31]

D, it increases then goes at a constant speed

8 0

2 years ago

Suppose that the distribution of typing speed in words per minute (wpm) for experienced typists using a new type of split keyboa

KengaRu [80]

Answer:

a. 0.5 or 50%

b. 0.496 or 49.6%

c. 0.8185 or 81.85%

d. Yes, it would be just 0.0013 or 0.13% of probability to find a typist whose speed exceeds 105 wpm

e. 0.0252 or 2.52%

f. The qualifying speed would be 47.4 wpm.

Step-by-step explanation:

a. Let's find the z-score this way:

μ = 60 σ= 15

z-score = (x - μ)/σ

z-score = (60 - 60)/15

z-score = 0

Now, let's calculate the p value for z-score = 0, using the z-table:

p (z=0) = 0.5 or 50%

b. z-score = (x - μ)/σ

z-score = (59.9 - 60)/15

z-score = -0.01

Now, let's calculate the p value for z-score = -.0.01, using the z-table:

p (z = -0.01) = 0.496 or 49.6%

If the question were less or equal than 60, a and b would have the same answer. But in this case, the question is "less than 60 wpm".

z-score = (x - μ)/σ

z-score = (45 - 60)/15

z-score = - 1

Now, let's calculate the p value for z-score = -1, using the z-table:

p (z = -1) = 0.1587

z-score = (x - μ)/σ

z-score = (90 - 60)/15

z-score = 2

Now, let's calculate the p value for z-score = 2, using the z-table:

p (z = 2) = 0.9772

In consequence,

p (-1 ≤ z ≤ 2) = 0.9772 - 0.1587 = 0.8185 or 81.85%

d. z-score = (x - μ)/σ

z-score = (105 - 60)/15

z-score = 3

Now, let's calculate the p value for z-score = 3, using the z-table:

p (z = 3) = 0.9987

In consequence,

p (z > 3) = 1 - 0.9987 = 0.0013

Yes, it would be just a 0.13% of probability to find a typist whose speed exceeds 105 wpm.

e. z-score = (x - μ)/σ

z-score = (75 - 60)/15

z-score = 1

Now, let's calculate the p value for z-score = 1, using the z-table:

p (z = 1) = 0.8413

In consequence,

p (z > 1) = 1 - 0.8413 = 0.1587

and if the two typists are independently selected, then

p = 0.1587 * 0.1587

p = 0.0252 or 2.52%

f. p = 0.2, using the z-table, the z-score is -0.84, then:

z-score = (x - μ)/σ

-0.84 = (x - 60)/15

-12.6 = x - 60

-x = -60 + 12.6

-x = - 47.4

x = 47.4

The qualifying speed would be 47.4 wpm.

8 0

3 years ago