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julia-pushkina [17]
2 years ago
5

If rx – st = r, which expression represents r.

Mathematics
1 answer:
statuscvo [17]2 years ago
5 0

Answer:

{ \tt{rx - st = r}}

» Collect like terms, r terms on the left hand side by subtracting r from both sides and adding st to both sides

{ \tt{(rx - st) { \green{ - r + st }} = r{ \green{ - r + st}}}} \\ { \tt{rx - r = st}}

» On the left hand side, factorise out r

{ \tt{ \green{r(x - 1)} = st}} \\  \\ { \boxed{ \tt{ \blue{ \: r =  \frac{st}{x - 1} }}}}

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-/2 points
Rom4ik [11]

Answer:

Part 1) The domain of the quadratic function is the interval  (-∞,∞)

Part 2) The range is the interval  (-∞,1]

Step-by-step explanation:

we have

f(x)=-x^2+14x-48

This is a quadratic equation (vertical parabola) open downward (the leading coefficient is negative)

step 1

Find the domain

The domain of a function is the set of all possible values of x

The domain of the quadratic function is the interval

(-∞,∞)

All real numbers

step 2

Find the range

The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

we have a vertical parabola open downward

The vertex is a maximum

Let

(h,k) the vertex of the parabola

so

The range is the interval

(-∞,k]

Find the vertex

f(x)=-x^2+14x-48

Factor -1 the leading coefficient

f(x)=-(x^2-14x)-48

Complete the square

f(x)=-(x^2-14x+49)-48+49

f(x)=-(x^2-14x+49)+1

Rewrite as perfect squares

f(x)=-(x-7)^2+1

The vertex is the point (7,1)

therefore

The range is the interval

(-∞,1]

6 0
3 years ago
The standard diameter of a penny is 0.75 in. and the standard
Blababa [14]

Answer: .045

Step-by-step explanation:.75=.750 so, 750-705=.045

Hope this helps!

6 0
3 years ago
A polyhedron has 6 faces and 7 vertices, how many edges does it have
iris [78.8K]

Answer:its gucci baby

Step-by-step explanation:

7 0
3 years ago
How many millimeters are there in 16 meters
Anika [276]
One of the very nice features of the metric system of measurements is that there is a set of standardized prefixes that can be applied to any of the units. Some of the more common ones are
.. micro- . . . one millionth
.. milli- . . . . one thousandth
.. centi- . . . .one hundredth
.. kilo- . . . . .one thousand

Thus, one millimeter is 1/1000 = 0.001 meter. There are 1000 of them in 1 meter, so
.. 16 m = 16000 mm
4 0
3 years ago
An instructor of a large college class gave an exam that has a possible total of 100 points. The instructor records the scores o
pishuonlain [190]

Answer:

(a) the median grade lies between 76 and 84

(b) the Median grade is greater than the mean grade.

(d) the median grade is a B

Step-by-step explanation:

consider the histogram carefully and answer.

4 0
3 years ago
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