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irina [24]
3 years ago
8

A line passes through the points (−4, −1) and (−2, −4) . Fill in the boxes to complete an equation for the line in point-slope f

orm.
Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
8 0
Here, first we need to calculate for Slope:
m = y2-y1 / x2-x1
m = -1-(-4) / -4-(-2)
m = 3 / -2
m = -3/2

Now, y - y1 = m(x - x1)
y + 1 = -3/2(x + 4)
y + 1 = -3/2x - 6
y = -3/2x - 7

In short, Your Equation would be: y = -3/2x - 7

Hope this helps!
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F(x) = -x + 4 and g(x) = 6x + 3, find (f(x) - g(x))<br><br>A. -5x-1<br>B. 5x +1<br>C. -7x +1<br>​
Pepsi [2]

Answer:

C

Step-by-step explanation:

f(x) - g(x)

= - x + 4 - (6x + 3)

= - x + 4 - 6x - 3 ← collect like terms

= - 7x + 1 → C

8 0
3 years ago
Tara scored 20 points in her first basketball game and n points in each of the next 6 games. What expression represents tara's t
Karo-lina-s [1.5K]

Answer:

  20+6n

Step-by-step explanation:

Tara's point total is found by adding up the points in each game ...

  20 + n + n + n + n + n + n

  = 20 +6n

_____

Of course, we use multiplication to simplify repeated addition.

6 0
3 years ago
What is the range of this<br> graph?
ozzi

Answer:

Step-by-step explanation: Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis.

5 0
3 years ago
What is the value of x?
tankabanditka [31]
X + 58 = 6
x = 6 - 58
x = - 52
3 0
3 years ago
Read 2 more answers
A group of 120 people touring Europe includes 45 people who speak French, 42 who speak Spanish, and 50 who speak neither languag
lianna [129]

Answer : P(\text{this group will speak both French and Spanish})=0.141666666

Explanation:

Since we have given that

n(U) = 120, where U denotes universal set ,

n(F) = 45, where F denotes who speak French,

n(S) = 42 , where S denotes who speak Spanish,

n(F∪S)' = 50

n(F∪S) = n(U)-n(F∪S) = 120-50 = 70

Now, we know the formula, i.e.

n(F∪s) = n(F)+n(S)-n(F∩S)

⇒  70    = 45+42-n(F∩S)

⇒ 70  =  87- n(F∩S)

⇒ 70-87 = -n(F∩S)

⇒ -17 = -n( F∩S)

⇒  17 = n(F∩S)

P(\text{this group will speak both French and Spanish})= \frac{17}{120}\\P(\text{this group will speak both French and Spanish})=0.141666666

3 0
3 years ago
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