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myrzilka [38]
3 years ago
6

Find the slope of the function f ( x ) = 5x/2 + 3, by the definition of limit. Express answer as a fraction using the "/" key as

the fraction bar.
Mathematics
1 answer:
musickatia [10]3 years ago
3 0

\huge{\boxed{\frac{5}{2}}}

Slope-intercept form is f(x)=mx+b, where m is the slope and b is the y-intercept.

\frac{5x}{2}=\frac{5}{2}x, so change the equation to represent this. f(x)=\frac{5}{2}x+3

Great! Now the function is in slope-intercept form, so we can just see that m, or the slope, is equal to \boxed{\frac{5}{2}}

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I NEED TO HAND IN NOW!!!
umka21 [38]

Step-by-step explanation:

a)

total no. of pupils is not more than 24

therefore first equation is

(x+y) ≤ 24. ....(1)

No. of girls exceeding the no. of boys by atleast 4

(y-x) ≥ 4. .....(2)

b) Now Liza chooses 8 boys

Maximum no. of girls = ?

Using first inequality

y+8= 24 ( maximum value of less than or equal to function is equal to itself)

Therefore,

y= 24-8

=16

Minimum no. of girls = ?

Using second inequality

y-8 =4 (minimum value of greater than or equal to function is equal to itself)

Therefore,

y= 4+8

y=12

Answer:

a) 2linear inequalities

(x+y) ≤ 24

(y-x) ≥ 4

b) Max no. of girls = 16

Min no. of girls = 12

Hope it helps...

5 0
3 years ago
Write the equation of line whose b= -1 and m=5
vovangra [49]

Answer:

Step-by-step explanation:

y=mx+b

y=5x-1

4 0
3 years ago
Read 2 more answers
Solve for x in this equation: 3/4+ |5-x| = 13/4
Rom4ik [11]

Answer:

  x = 2.5 or 7.5

Step-by-step explanation:

Subtract 3/4.

  |5 -x| = 10/4 = 2.5

This resolves to two equations:

  • 5 -x = 2.5   ⇒   x = 5 -2.5 = 2.5
  • 5 -x = -2.5   ⇒   x = 5 +2.5 = 7.5

The solutions are x = 2.5 or 7.5.

5 0
3 years ago
A restaurant uses a folded paper box for to-go orders. A to-go meal container has a surface area of 40 in². To make a to-go meal
aniked [119]
It's C)12 squared because you have to look outside of the box
8 0
3 years ago
A person can pay $8 for a membership to the history museum and then go to the museum for
Lyrx [107]

Answer:

35 visits

Step-by-step explanation:

If the total cost is $43, and the membership is $8 from that, then we can subtract the cost of the membership and it will cost $35 dollars. Then you can go $35/$1 times, which is 35 times.

5 0
3 years ago
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