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3 years ago

Determine the equation of the line with slope 3 that passes through the point M(1.2). ?

1 answer:

5 0

Y = 3x - 1

The format for slope intercept form is:

y = mx + b

m represents the slope and that was given so:

y = 3x + b

Now we have to substitute the value from the given point into “y” and “x” to solve for “b”

(2) = 3(1) + b
2 = 3 + b
-1 = b

Now that we know b we can substitute it into y = 3x + b to get the equation of the line

y = 3x - 1

~~hope this helps~~

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The domain and range of 5x squared plus 10x what is the domain and range of f of x equals 5x squared plus 10x

liberstina [14]

Answer:

Domain: set of all real numbers

Range: $y \geq -5$

Step-by-step explanation:

We have to find the domain and range of the function:

$f(x) =5x^2+10x$

This is a quadratic function, shape of a "U", that's called a parabola.

The domain is the set of x values for which the function is defined.

The range is the set of y values for which the function is defined.

Normally, any parabola in the form $ax^2+bx+c$ has domain as "all real numbers". This is the case for this problem as well, thus,

Domain = set of all real numbers

Now, for the range, we have to look at the minimum value of the function. So, the range would be y values greater than or equal to the minimum number. Lets find the minimum value of this function.

We have to find the value of x for which the minimum occurs by using the formula:

$x=\frac{-b}{2a} =\frac{-10}{2(5)} =-1$

<em><u>Note: value of a is "5" and b is "10"</u></em>

Now, we plug this into the function to find the minimum value:

$f(x)=5x^2+10x\\f(-1)=5(-1)^2 +10(-1)\\f(-1)=-5$

So, the range is set of all real numbers greater than or equal to -5.

8 0

3 years ago

Sonny substituted 5 for x in the proportion startfraction 16 over x endfraction = startfraction 48 over 15 endfraction and cross

frez [133]

The cross products of the proportion are equal.

According to the question, Sonny's equation can be written as follows.

16/x = 48/15

Now, the variable x is replaced by the constant 5. So the equation can now be written as follows.

16/5 = 48/15

When two fractions are equal to one another as shown above, the constants are cross multiplied with one another in order to form an equation.

16*15= 48*5

The values of both the products are equal which is 240.

Therefore, because the cross products of the proportion are equal.

Learn more about Proportion on:

brainly.com/question/1496357

#SPJ4

4 0

2 years ago

a contractor digs a hole that is 40 ft long and 10.5 feet deep. what is the width of the hole if 6,510 cubic feet of dirt is rem

ehidna [41]

Jtdutcyiftutfutffgucug

8 0

3 years ago

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.8 millimeters and a standard deviati

atroni [7]

Answer:

5.70 < X < 5.89

Step-by-step explanation:

Z = ±1.40507156

z = (x - μ)/σ

1.40507156 = (x - 5.8)/.07

5.70 < X < 5.89

4 0

3 years ago

Magdalena Figueroa's covered medical care bills for a recent illness were $8,440.00. Her major medical policy had a coinsurance

devlian [24]

Medical bill = $8,440
Deductible = $400
Coinsurance plan = Medical policy 80% of all expenses above $400

Amount to pay = 400+ (8440-400)*20/100 = 400+1608 = $2,008

8 0

3 years ago