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Olenka [21]
3 years ago
11

What are the x- and y-intercepts of g(x) = 4 – x??

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
8 0

Answer:

See below in bold.

Step-by-step explanation:

The y -intercept is when x = 0 so

it is 4 - 0 = 4

That is (0, 4)

For the x intercept g(x) = 0 so

4 - x = 0

x = 4.

x -intercept is at  (4,0).

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Prove fermat's theorem for the case where f has a minimum at x0 (show f 0 (x0) = 0)
allochka39001 [22]
Suppose that some value, c, is a point of a local minimum point.

The theorem states that if a function f is differentiable at a point c of local extremum, then f'(c) = 0.

This implies that the function f is continuous over the given interval. So there must be some value h such that f(c + h) - f(c) >= 0, where h is some infinitesimally small quantity.
As h approaches 0 from the negative side, then: \frac{f(c + h) - f(c)}{h} \leq 0 \text{, where h is approaching 0 from the negative side}
As h approaches 0 from the positive side, then: \frac{f(c + h) - f(c)}{h} \geq 0

Thus, f'(c) = 0
6 0
3 years ago
The Boy Scouts self popcorn Ethan sold 9 small
NARA [144]

Answer:

The cost of 1 small bag of popcorn = $2.95

The cost of 1 large bag of popcorn   = $4.75

Step-by-step explanation:

Here, let us assume the cost of 1 small bag of popcorn = $ m

And,  the cost of 1 large bag of popcorn = $ n

So, the cost of 9 small bag = 9 x ( cost of 1 small bag)  = 9 x (m) = 9 m

and  the cost of 2 large bag = 2 x ( cost of 1 large bag)  = 2 x (n) = 2 n

Also, cost of 9 small + 2 large bag of popcorn sold by  Ethan for   $ 36.05 .

⇒ Total cost of 9 small + 2 large bag of popcorn =  9 m + 2 n

⇒ 9  m +  2 n =  $ 36.05  ..........  (1)

Also, the cost of 5 small bag = 5 x ( cost of 1 small bag)  = 5 m

and  the cost of 7 large bag = 7 x ( cost of 1 large bag)  = 7 n

Also, cost of 5 small + 7 large bag of popcorn sold by  Jack for   $ 48 .

⇒ Total cost of 5 small + 7 large bag of popcorn =  5 m + 7 n

⇒ 5 m +  7 n =  $ 48 ..........  (2)

Now, solving (1) and (2) for the values of m and n , we get

9  m +  2 n =   36.05

5 m +  7 n =  48

Multiply (1) with (-7) and (2) by 2 , add both equation we get:

-63 m - 14 n  + 10 m + 14 n =  -252.35 + 96

or, - 53 m = -156.35

or, m =   2.95

Now, put the value of m in (1), we get:  5 ( 2.95) + 7 n =  48

or, n =  33.25 /7 = 4.75

Hence the cost of 1 small bag of popcorn = $2.95

The cost of 1 large bag  = $4.75

6 0
3 years ago
Read 2 more answers
Solve 19.9 = 9 y - 8.<br><br> y =
pogonyaev

Answer:

1.3223 is the answer for y

5 0
3 years ago
Read 2 more answers
For what value of h is 24=(h/10)-6
kondor19780726 [428]

Answer:

h=300

Step-by-step explanation:

we have

24=(\frac{h}{10})-6

Solve for h

That means----> Isolate the variable h

Adds 6 both sides

24+6=(\frac{h}{10})-6+6

30=\frac{h}{10}

Multiply by 10 both sides

30*10=\frac{h}{10}*(10)

h=300

6 0
2 years ago
In how many ways can 13 people be divided into four groups with 3, 6, 2 and 2 people respectively?
OleMash [197]

Answer:

Total combination = 180,180

Step-by-step explanation:

It is a combination based problem.

So,

Total people = 13

Group = 3,6,2,2

So,

For 6 people

13C6= 1,716

For 3 people

7C3 = 35

For 2 group of 2 people

(4C2)/2 = 3

Total combination = 1,716 × 35 × 3

Total combination = 180,180

8 0
3 years ago
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