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Hunter-Best [27]
3 years ago
9

Find the equation of the line that contains the given points. P1 (4,5) P2 (-4,3)

Mathematics
1 answer:
slava [35]3 years ago
4 0
Thinking you are using y=mx+b
So first you need to find slope(m) from the two points provided
M=y2-y1/x2-x1
Gives you m=1/4
Then using the equation above plus one of the points given in the equation for x and y to find the value of b
Equation: y=1/4x+4
Hope this helps!

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Let f(x) = 5x3 + 3x2 – 3 and g(x) = x2 + X - 5, fin<br> 4) f(x) + g(x)
aleksley [76]

Answer:

f(x)+g(x)=5x^{3} +4x^{2}+x-8

Step-by-step explanation:

Given:

Two functions are given:

f(x)=5x^{3} +3x^{2} -3

g(x)=x^{2} +x-5

Find f(x)+g(x)

Solution:

f(x)+g(x)=(5x^{3} +3x^{2} -3)+(x^{2} +x-5)

f(x)+g(x)=5x^{3} +3x^{2} -3+x^{2} +x-5

f(x)+g(x)=5x^{3} +(3x^{2} +x^{2})+x-3-5

f(x)+g(x)=5x^{3} +4x^{2}+x-8

Therefore, the function of f(x)+g(x)=5x^{3} +4x^{2}+x-8

6 0
3 years ago
The manager of a warehouse would like to know how many errors are made when a product’s serial number is read by a bar-code read
stira [4]
The mean of the answer is 20.5 because you add all of the number together and divide by 6 because there's 6 numbers. 
I'm sorry, but I don't know how to do the standard deviation... 
Hope this helped!
4 0
3 years ago
There is a bag of marbles that contains 4 blue marbles, 3 red marbles, 2 green marbles, and 1 brown marble. If one was picked at
Semenov [28]

Answer:

2/15

Step-by-step explanation:

P(B,B) = 4/10 x 3/9

= 2/5 x 1/3 or 2/15

7 0
2 years ago
Find 2x2 − 2z4 + y2 − x2 + z4 if x = −4, y = 3, and z = 2.
maw [93]
If you put in the substitutions it would be 2*2-(2*2*4)+(3*2)-(-4*2)+(2*4).
Simplified further by multiplying it would be 2*2-8+6--8+8
the negative 8 could be simplified further since the negatives cancel out so you'll have 2*2-8+6+8+8.
Then using the order of operations you would multiply the 2's together first to get 4 so you have 4-8+6+8+8. 
After that it's simple addition giving you an answer of -26.
I'm not sure if you're looking for the final answer or just the equation with substitutions but there's both.

3 0
3 years ago
17. Admission prices to Cinema I to see a movie are $9.50 for an adult and $6.50 for a child. The admission charge at Cinema II
maksim [4K]

Answer:

a. 9.5x + 6.5(x+c) < 8   when c>0

b. Must be one child more than the no. of adults.

Step-by-step explanation:

For Cinema 1:

for adult = $9.50

for child = $6.50

For Cinema 2:

Per person regardless of age = $8.00

First of all, we will find out the condition when per person rates in both cinema are equal.

Assume x = no. of adults

y = no. of children

Rate per person in Cinema I = Rate per person in Cinema II

(9.5x + 6.5y)/(x+y)   =   8

9.5x + 6.5y = 8(x+y)

9.5x + 6.5y = 8x + 8y

9.5x-8x = 8y-6.5y

=> x = y

So rates are equal when no. of adults equals no. of children

For Cinema I to have better rates, no. of children should be atleast 1 more than the no. of adult. In this way the rate per person of Cinema I will be less than 8

Hence we form an inequality when y = x+c and c > 0

9.5x + 6.5(x+c) < 8   when c>0

Hence there must be 1 more children than the no. of adults attending Cinema I for it to be a better deal.

4 0
3 years ago
Read 2 more answers
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