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timama [110]
3 years ago
11

What is the slope of the line that contains the points (-2, 2) and (3, 4)?

Mathematics
2 answers:
Vladimir79 [104]3 years ago
5 0

Answer:

2/5

Step-by-step explanation:

The slope is given by

m= (y2-y1)/(x2-x1)

  = (4-2)/(3 - -2)

   = 2/(3+2)

    = 2 /5

ad-work [718]3 years ago
3 0

We are given the points (-2, 2) and (3, 4) to solve.

Slope formula: y2-y1/x2-x1

4-2/3-(-2)

2/5

Therefore, the answer is 2/5

Best of Luck!

You might be interested in
Make a 8 1/3 a faction then make it into simplest form and then explain PLS HELP ME ​
horsena [70]

Answer:

2 2/3

Step-by-step Explanation:

You can make the 8 1/3 a fraction by making the whole number 8 into a fraction by putting 8 as the numerator and 1 as the denomenator and then multiply 8/1 by 1/3 to get 8/3. You can then simplify this even further by making this improper fraction into an mixed fraction. 3 goes into 8, 2 times with a remainder of 2. You then write the remainder as 2 over 3 to make the fraction 2/3. This then comes out to be 2 2/3.

8/1 • 2/3 = 8/3

8/3 = 2 2/3

8 0
3 years ago
1. If one painter can paint a house in 4 days and another painter can paint a house in 7 days, how many days will it take them w
enyata [817]

9514 1404 393

Answer:

  1. 2 6/11 days
  2. 1 2/3 hours

Step-by-step explanation:

1. Add the rates in terms of houses per day.

  1/4 + 1/7 = (7+4)/28 = 11/28

Then the time required in terms of days per house is the reciprocal of this:

  28/11 = 2 6/11 . . . . days to paint a house, working together

__

2. Each hour, the vehicles separate by 55 -40 = 15 miles. Then the time required for a separation of 25 miles is ...

  time = distance/speed = (25 mi)/(15 mi/h_ = 5/3 h = 1 2/3 h

The vehicles will be separated by 25 miles after 1 2/3 hours.

6 0
3 years ago
Carry out three steps of the Bisection Method for f(x)=3x−x4 as follows: (a) Show that f(x) has a zero in [1,2]. (b) Determine w
ELEN [110]

Answer:

a) There's a zero between [1,2]

b) There's a zero between [1.5,2]

c) There's a zero between  [1.5,1.75].

Step-by-step explanation:

We have f(x)=3^x-x^4

A)We need to show that f(x) has a zero in the interval [1, 2]. We have to see if the function f is continuous with f(1) and f(2).

f(x)=3^x-x^4\\\\f(1)=3^1-(1)^4=3-1=2\\\\f(2)=3^2-(2)^4=9-16=(-7)

We can see that f(1) and f(2) have opposite signs. And f(1)>f(2) and the function is continuous, this means that exists a real number c between the interval [1,2] where f(c)=0.

B)We have to repeat the same steps of A)

For the subinterval [1,1.5]:

f(x)=3^x-x^4\\\\f(1)=3^1-(1)^4=3-1=2\\\\f(1.5)=3^1^.^5-(1.5)^4=5.19-5.06=0.13

f(1) and f(1.5) have the same signs, this means there's no zero in the subinterval [1,1.5].

For the subinterval [1.5,2]:

f(x)=3^x-x^4\\\\f(1.5)=3^1^.^5-(1.5)^4=5.19-5.06=0.13\\\\f(2)=3^2-(2)^4=9-16=(-7)

f(1.5) and f(2) have opposite signs, this means there's a zero between the subinterval [1.5,2].

C)We have to repeat the same steps of A)

For the subinterval [1,1.25]:

f(x)=3^x-x^4\\\\f(1)=3^1-(1)^4=3-1=2\\\\f(1.25)=3^1^.^2^5-(1.25)^4=3.94-2.44=1.5

f(1) and f(1.25) have the same signs, this means there's no zero in the subinterval [1,1.25].

For the subinterval [1.25,1.5]:

f(x)=3^x-x^4\\\\f(1.25)=3^1^.^2^5-(1.25)^4=3.94-2.44=1.5\\\\f(1.5)=3^1^.^5-(1.5)^4=5.19-5.06=0.13

f(1.25) and f(1.5) have the same signs, this means there's no zero in the subinterval [1.25,1.5].

For the subinterval [1.5,1.75]:

f(x)=3^x-x^4\\\\f(1.5)=3^1^.^5-(1.5)^4=5.19-5.06=0.13\\\\f(1.75)=3^1^.^7^5-(1.75)^4=6.83-9.37=(-2.54)

f(1.5) and f(1.75) have opposite signs, this means there's a zero between the subinterval [1.5,1.75].

For the subinterval [1.75,2]:

f(x)=3^x-x^4\\\\f(1.75)=3^1^.^7^5-(1.75)^4=6.83-9.37=(-2.54)\\\\f(2)=3^2-(2)^4=9-16=(-7)

f(1.75) and f(2) have the same signs, this means there isn't a zero between the subinterval [1.75,2].

The graph of the function shows that the answers are correct.

6 0
3 years ago
Emily and Fred each have some money.
Crank

Answer

<em>A</em><em>s</em><em>s</em><em>a</em><em>l</em><em>a</em><em>m</em><em> </em><em>w</em><em>a</em><em>l</em><em>i</em><em>a</em><em>k</em><em>u</em><em>m</em><em> </em>

8 0
3 years ago
Read 2 more answers
H(x) = x^2+6 g(x) = 8x-5 <br><br> show that hg(x)=19 simplifies to 16x^2 - 20x + 3 = 0
Studentka2010 [4]

Answer:

h(x)=x²+6 and g(x)=8x-5

prove that hg(x)=19

Step-by-step explanation:

step 1: hog(x)=h[g(x)]

step 2: h(8x-5)

step 3: h(8x-5)= (8x-5)²+6

step 4: (8x-5)(8x-5)+6

step 5: 16x² +15x +6

6 0
3 years ago
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