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Drupady [299]
3 years ago
11

Write a linear equation for the statement below:

Mathematics
1 answer:
liberstina [14]3 years ago
6 0

Answer: y = \frac{-19}{2} x + \frac{219}{2}

Step-by-step explanation:

1. Find the slope

2. Substitute the slope, along with x and y coordinates into linear equation to solve for y-intercept

3. Write equation

I'm kind of late but if you need more help, feel free to ask :)

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The 1st,12th and the last term of an AP are 4,31.5 and 376.5 respectively. Determine the number of terms in series
Nutka1998 [239]

Answer: 150

Step-by-step explanation:

To solve arithmetic progression, the nth term is calculated using the formula = a + (n - 1)d

From the question,

First term = a = 4

12th term = 31.5

We need to get the common difference which will be:

Since 12th term = 31.5

a + (n - 1)d = 31.5

a + (12 - 1)d = 31.5

a + 11d = 31.5

Recall that a = 4

4 + 11d = 31.5.

11d = 31.5 - 4

11d = 27.5

d = 27.5 / 11

d = 2.5

Since last term is 376.5, the number of terms in it will be calculated as:

a + (n - 1)d = 376.5

4 + (n - 1)2.5 = 376.5

4 + 2.5n - 2.5 = 376.5

2.5n = 376.5 - 4 + 2.5

2.5n = 375

n = 375 / 2.5

n = 150

The number of terms in the series is 150.

3 0
3 years ago
Prime numbers have
Mnenie [13.5K]
The answer is c. Prime number is a number that is only divisible by 1 and it self.
7 0
3 years ago
What is the surface area of the cube? all sides are 6mm but it only shows 3 sides
valentina_108 [34]
You do 6x6 which is 36 and since there are 6 faces to a cube you do 36 x 6 and you get 216mm2
6 0
3 years ago
Read 2 more answers
F(x) = x2 + 3x + 2 is shifted 2 units left, the result is g(x). What is g(x)?
Veronika [31]

Answer:

g(x)=x^2+7 x+12

Step-by-step explanation:

since f(x)=x^{2}+3 x+2

now we are given that this function f(X) is shifted 2 units to the left and we get a function g(x) this means

g(x)=f(x+2) since f(x+2) will shift the function f(x) 2 units to the left.

g(x)=(x+2)^{2}+3(x+2)+12

g(x)=x^2+4+4 x+3 x+6+2

hence, the function g(x)=x^2+7 x+12

5 0
4 years ago
3p - 14 is an example of a?
Snowcat [4.5K]

Answer:

Linear expression

Step-by-step explanation:

If you have an expression with = sign, it becomes an equation

Without the = sign, it's just an expression

3 0
3 years ago
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