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Virty [35]
3 years ago
8

What is the Equation of a line that has a slope of -3 passes to the point (4,-5)

Mathematics
2 answers:
vodomira [7]3 years ago
6 0

Answer:

y = - 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute (4, - 5) into the partial equation

- 5 = - 12 + c ⇒ c = - 5 + 12 = 7

y = - 3x + 7 ← equation of line

ololo11 [35]3 years ago
4 0

Answer:

y= -3x + 7:)

Step-by-step explanation:

Hope this helps!

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Given the functions f(x) = 7x + 13 and g(x) = x + 2, which of the following functions represents f[g(x)] correctly? (2 points)
Svetach [21]

Answer:

The value of f[ g(x) ] = 7x + 27

Step-by-step explanation:

It is given that, f( x ) = 7x + 13 and g( x ) = x + 2

<u>To find the value of f(g(x))</u>

g(x) = x + 2 and 7x + 13   (given)

Let g(x) = x + 2

f [ g(x) ] = 7(x + 2) + 13  [ substitute the value of g(x) in f(x) ]

 = 7x + 14 + 13

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3. At a manufacturing plant, it is known that 8% of the computer chips produced are defective. A random sample of 20 chips is ta
nordsb [41]

Answer:

Probability of three chip being defective is 0.012

Step-by-step explanation:

Probability of a computer chip being defective is 0.08 or 8%

Total random sample = 20

Probability of three chip being defective = 3/20 * 0.08

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Nataly [62]

Answer:

y = 4x + 14

Step-by-step explanation:

slope-intercept form: y = mx + b

Slope formula: \frac{y2-y1}{x2-x1}

To write the equation in y = mx + b form, we need to find the slope(m) and the y-intercept(b) of the equation.

To find the slope, take two points from the table(in this example I'll use points (0, 14) and (1, 18)) and input them into the slope formula:

\frac{18-14}{1-0}

Simplify:

18 - 14 = 4

1 - 0 = 1

\frac{4}{1}=4

The slope is 4.

To find the y-intercept, input the values of the slope and one point(in this example I'll use point (1, 18)) into the equation format and solve for b:

y = mx + b

18 = 4(1) + b

18 = 4 + b

14 = b

The y-intercept is 14.

Now that we know the slope and the y-intercept, we can write the equation:

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