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AlexFokin [52]
3 years ago
9

Please help thank you I need help ASAP

Mathematics
1 answer:
jarptica [38.1K]3 years ago
7 0

Answer:

Step-by-step explanation:

Since h(x) represents y, to solve this problem, we have to find all the x values that make the y positive. The best way to do this, is to mark the intercepts and see which intervals make y positive. (It sounds confusing but it isn't very.)

Take a look at the image below. The red represents x<0, the blue represents 0<x<3.5, and the green represents x>3.5. If we take a look at the shape of the graph we can see that the y coordinates are positive in the green and red range as the graph goes above the x-axis. Therefore the h(x)>0 when x<0 or when x>3.5. Now figure out which one of the answers lie in that range! Comment if you need help.

SIDE NOTE: I realize that this was unnecessary to solving the problem as a simple guess and check would have worked but I thought it would be beneficial for you to know how to solve these types of problems in general.

DOUBLE SIDE NOTE: I also realize that the intercept may not be exactly 3.5 as it doesn't state it in the problem, but for explanation's sake, I made that assumption. SORRY IF IT CONFUSED YOU.

Hope this was helpful!!!

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A figure is translated using the mapping (x, y) → (x + a, y + b). If the value of a is negative and the value of b is negative,
MAXImum [283]

The translation is The figure moves left and down.

Option:B.

<u>Step-by-step explanation:</u>

The given coordinate  (x,y) is mapped and it gets translated using mapping (x+a,y+b).

Also, we are given with information that the value of a and also value of b is negative (-a,-b).

⇒the mapping coordinate = (x+(-a),y+(-b)).

The mapping coordinate = ( x-a, y-b).

The coordinate points will be decreasing in x and y axis. So it will move towards the left and downside of the graph.

For example,

Consider that a= -3 and b= -2.

∴The translating coordinate will be (x-3,y-2).

Choose a coordinate point ( 2,2) initially.

Substitute the x,y coordinate in the translating coordinate.

⇒ (x-3,y-2) = (2-3,2-2).

=(-1,0).

After translation the points will be (-1,0).

∴The figure will move towards left and downwards.

6 0
3 years ago
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An average person in the United States throws away 4.5 × 10² g of trash per day. In 2013, there were about 3.2×1063.2×10^6 peopl
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3 years ago
I need help with this question
Sergeeva-Olga [200]

Answer:

Step-by-step explanation:

f(x) = 6x³-x²+4x+5

g(x) = 9x³-1

(f+g)(x) = {6x³-x²+4x+5} + {9x³-1}

open brackets

6x³-x²+4x+5 + 9x³-1

choose like terms

6x³+ 9x³-x²+4x+5 -1

15x³-x²+4x+4= x²(15x-1)+4(x+1)= (x²+4)(x+1)(15x-1)

(f+g)(x)= 15x³-x²+4x+4 =  (x²+4)(x+1)(15x-1)

(f+g)(2) = 15(2)³-(2)²+4(2)+4 = 15(8)-4+8+4 = 120+8 = 128

(f-g)(x) = {6x³-x²+4x+5} - {9x³-1}

open brackets

6x³-x²+4x+5 - 9x³+1

choose like terms

6x³- 9x³-x²+4x+5 +1

-3x³-x²+4x+6= -x²(3x+1)+2(2x+3)= (-x²+2)(3x+1)(2x+3) =  (2-x²)(3x+1)(2x+3)

(f-g)(x) = -3x³-x²+4x+6 = (2-x²)(3x+1)(2x+3)

(f-g)(-3) = -3(-3)³-(-3)²+4(-3)+6 = -3(-3x-3x-3)-(-3x-3)-12+6=-3(-27)-3(9)-12+6= 81-27-12+6 = 54-6= 48

(f-g)(-3) = 48

4 0
3 years ago
If f (x) = 2x +1 and g(x) = x^2 + 2x + 1, find f (g(x)).
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Answer:

2x² + 4x + 3

Step-by-step explanation:

Given:

f (x) = 2x +1

g(x) = x² + 2x + 1

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f(g(x))

= f(x² + 2x + 1)

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3 years ago
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Answer:

90, 92, 94, 96

Step-by-step explanation:

Let the three consecutive even integers be x, (x + 2), (x +4) & (x + 6)

\therefore \: x + (x + 2) + (x + 4) +(x +6)= 372 \\  \therefore \:4x + 12 = 372\\ \therefore \:4x  = 372 - 12 \\ \therefore \:4x  = 360 \\ \therefore \:x  =  \frac{360}{4} \\   \therefore \:x  =90 \\ x + 2 = 90 + 2 = 92 \\ x + 4 = 90 + 4 = 94\\x + 6= 90 + 6= 96 \\

Hence, the three consecutive even integers are 90, 92, 94, 96.

7 0
3 years ago
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