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3 years ago

Give the function for f(x)-5|x+1|+3 for what values of x is f(x)=-12

1 answer:

3 0

I’m not sure whether there is a typo in the function but I might have the answer.

If f(x) = 5(x+1)+3 = -12 then you can solve for x.

5(x+1)+3 = -12
5x + 5 + 3 = -12 << expand the brackets
5x + 5 = - 15 << minus 3
x + 1 = -3 << divide everything by 5
x = -4 << minus 1

I don’t know if this helps x Sorry

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3 years ago

Solve 58 - 10x<20+9x

irina1246 [14]

Answer:

x>2

Step-by-step explanation:

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3 years ago

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Suppose that P(n) is a propositional function. Determine for which improper subset of the domain of n the statement P(n) must be

Alinara [238K]

Answer:

a) P(n) is true for all 'n' in the set ; { 0,2,4,6,8 ….. }

b) P(n) is true for all 'n' in the set ; { 0,1,2,3,4,5 ............ }

Step-by-step explanation:

a) As P(0) is true

we will assume that

P(2) is true
P(4) is true
P(6) is true

this simply means that ; P(n) is true for all 'n' in the set

{ 0,2,4,6,8 ….. }

b) since P(0) and P(1) are true

we will assume that

P( 0+2 ) = P(2) is true

also P(1) and P(2) are true

we will assume that

P(1+2) = P(3) is true

Also from the previous answers it can be seen that P(2) + P(3) is true

we will assume

P(2+2) = P(4) is true

This simply means that P(n) is true for all 'n' in the set

{ 0,1,2,3,4,5 ............ }

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3 years ago

Suppose that F(x) = x^2 and G(x) = 2x^2-5. Which statement best compares the graph G(x) with the graph of F(x)?

notsponge [240]

I believe the correct answer from the choices listed above is option D. The graph <span>G(x) as compared to the graph of F(x) would be that the </span><span>graph of G(x) is the graph of F(x) stretched vertically and shifted 5 units down. 2 is a stretch factor and -5 is the shift downwards of the graph. Hope this answers the question.</span>

8 0

3 years ago

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Find the measure of Angle A. (include and explanation so I could do the rest on my own, preferably :)

castortr0y [4]

Answer:

13) Angle A is 30°

14) Angle A is 45°

15) Angle A is 40°

16) Angle A is 40.5°

Step-by-step explanation:

By the angle sum theorem for the interior angles of a triangle, we have;

13) 130° + 2·x + 3·x = 180°

∴ 2·x + 3·x = 180° - 130° = 50°

2·x + 3·x = 5·x = 50°

x = 50°/5 = 10°

∠A = 3·x = 3 × 10° = 30°

∠A = 30°

14) 3·x + 9 + 4·x + 9 + 78° = 180°

7·x + 18 + 78° = 180°

7·x = 180° - (18 + 78)° = 180° - 96° = 84°

x = 84°/7 = 12°

∠A = 3·x + 9 = 3 × 12° + 9 = 45°

∠A = 45°

15) 90° + x + 51 + x + 61 = 180°

∴ x + 51 + x + 61 = 180° - 90° = 90°

2·x + 112 = 90°

2·x = (90 - 112)° = -22°

x = -22°/2 = -11°

x = -11°

∠A = x + 51 = -11° + 51 = 40°

∠A = 40°

16) x + 79 + x + 49 + 70° = 180°

x + x = (180 - 70 - 79 - 48)° = -17°

2·x = -17°

x = -17°/2 = -8.5°

x = -8.5°

∠A = x + 49 = (-8.5 + 49)° = 40.5°

∠A = 40.5°.

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3 years ago