All categories

3 years ago

If gh-f=g-h, which of the following gives g in terms of the other variables?

Mathematics

1 answer:

JulsSmile [24]3 years ago

5 0

The value of g in terms of other variables is $g=\frac{f+h}{h-1}$

Given the expression;

gh-f=g-h

We are to express g in terms of other variables as shown;

gh-f=g-h

Collect the like terms

gh - g = f + h

Factor out g

g(h - 1) = f + h

Divide both sides by h-1

$g=\frac{f+h}{h-1}$

Hence the value of g in terms of other variables is $g=\frac{f+h}{h-1}$

Learn more here: brainly.com/question/21406377

You might be interested in

Day Drive 270 miles and 6 hours how many miles do you drive in 13 hours

NikAS [45]

Answer:

The answer is

<h2>585 miles</h2>

Step-by-step explanation:

In order to solve this question we use ratio and proportion

From the question

Day Drive 270 miles in 6 hours

So in order to find the distance drove in 13 hours, we compare the distance drove in 6 hours to the distance drove in 13 hours and solve

That's

if in 6 hours Day drove 270 miles

Then in 13 hours the person will drive

$\frac{13 \times 270}{6} = \frac{3510}{6}$

We have the final answer as

<h3>585 miles</h3>

Hope this helps you

7 0

3 years ago

two dice are rolled in succession. determine the probability that their sum is 8 or more, given that the first die is a 4 or mor

viva [34]

See the pic for answer.

8 0

3 years ago

The graph of a quadratic function contains the points

masya89 [10]

Answer:

Shawn is correct.

Step-by-step explanation:

Let the quadratic function is g(x) = a(x - h)² + k

Here (h, k) is the vertex of the parabola.

Since this parabola passes through (0, 0), (1, 9) and (-1, 9), axis of symmetry is x = 0 and the vertex is (0, 0).

Therefore, equation of the parabola will be,

g(x) = a(x - 0)²+ 0

g(x) = ax²

for a point (1, 9) which lies on the graph,

9 = a(1)²

a = 9

g(x) = 9x² (here a > 1)

Therefore, f(x) is vertically stretched by a factor of 9 to form g(x).

Shawn is correct.

3 0

3 years ago

Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks

Iteru [2.4K]

Let

$P(n):\ 1+2+\ldots+n = \dfrac{n(n+1)}{2}$

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

$P(1):\ 1 = \dfrac{1\cdot 2}{2}=1$

So, the base case is ok. Now, we need to assume $P(n)$ and prove $P(n+1)$ .

$P(n+1)$ states that

$P(n+1):\ 1+2+\ldots+n+(n+1) = \dfrac{(n+1)(n+2)}{2}=\dfrac{n^2+3n+2}{2}$

Since we're assuming $P(n)$ , we can substitute the sum of the first n terms with their expression:

$\underbrace{1+2+\ldots+n}_{P(n)}+n+1 = \dfrac{n(n+1)}{2}+n+1=\dfrac{n(n+1)+2n+2}{2}=\dfrac{n^2+3n+2}{2}$

Which terminates the proof, since we showed that

$P(n+1):\ 1+2+\ldots+n+(n+1) =\dfrac{n^2+3n+2}{2}$

as required

4 0

3 years ago

A professional soccer player kicked a ball across the field. The ball’s height, in meters, is modeled by the function graphed be

pantera1 [17]

Answer:

Hey there!

You can think of the rate of change as the slope of a quadratic function- here we see that it is 9/-3, or - 3.

Let me know if this helps :)

6 0

3 years ago