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nalin [4]
3 years ago
7

If f(x) = 6x + 2 and g(x) = 4x - 5, find f(x) - g(x).

Mathematics
2 answers:
Hatshy [7]3 years ago
8 0

Answer: D

Step-by-step explanation:

set the functions to subtract

son4ous [18]3 years ago
5 0
D would be the answer
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For an arithmetic sequence,first term is 2 and the common difference is 3 find the sum of the first 11
romanna [79]

Answer:

35

Step-by-step explanation:

by adding three to the next number each time, the answer is 35

6 0
2 years ago
In a random survey of 300 people about the kind of apples they preferred, 178 said they preferred red apples. Based on these res
aliya0001 [1]

Answer:

2670

Step-by-step explanation:

4500/300 = 15

178*15=2670

5 0
3 years ago
In triangle abc, the perimeter is 36, and ab=ac. line ad is perpendicular to bc at the point d, and triangle abd's perimeter is
Musya8 [376]
Let x=ab=ac, and y=bc, and z=ad.

Since the perimeter of the triangle abc is 36, you have:

Perimeter of abc = 36
ab + ac + bc = 36
x + x + y = 36
(eq. 1) 2x + y = 36

The triangle is isosceles (it has two sides with equal length: ab and ac). The line perpendicular to the third side (bc) from the opposite vertex (a), divides that third side into two equal halves: the point d is the middle point of bc. This is a property of isosceles triangles, which is easily shown by similarity.

Hence, we have that bd = dc = bc/2 = y/2 (remember we called bc = y).

The perimeter of the triangle abd is 30:

Permiter of abd = 30
ab + bd + ad = 30
x + y/2 + z =30
(eq. 2) 2x + y + 2z = 60

So, we have two equations on x, y and z:

(eq.1) 2x + y = 36
(eq.2) 2x + y + 2z = 60

Substitute 2x + y by 36 from (eq.1) in (eq.2):

(eq.2') 36 + 2z = 60

And solve for z:

36 + 2z = 60 => 2z = 60 - 36 => 2z = 24 => z = 12

The measure of ad is 12.

If you prefer a less algebraic reasoning:

- The perimeter of abd is half the perimeter of abc plus the length of ad (since you have "cut" the triangle abc in two halves to obtain the triangle abd).

- Then, ad is the difference between the perimeter of abd and half the perimeter of abc:

ad = 30 - (36/2) = 30 - 18 = 12
4 0
3 years ago
Read 2 more answers
Which equation has a graph that is a parabola with a vertex at (–2, 0)?
MaRussiya [10]

Answer:

The vertex of a quadratic equation corresponds to the point where the maximum or minimum value is located.

If the function has a positive leading coefficient, the vertex corresponds to the minimum value.

If it has a negative leading coefficient,  the vertex corresponds to the maximum valuevalue

If the vertex is located at

(–2, 0)

The possibilities are

y =  (x-2)^2

or,

y = - (x-2)^2

Since the problem tells us the answer, we adopt the positive values

Answer:

y =  (x-2)^2

See attached picture

6 0
3 years ago
Read 2 more answers
CAN SOMEONE PLEASE HELP ME WITH THESE 3 MATH QUESTIONS. I NEED HELP QUICK AND FAST. ONLY COMMENT IF YOU ARE HELPING THANKS! PLEA
dusya [7]
Yes: girls=12, boys=33 No: girls=68 boys=87
3 0
3 years ago
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