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3 years ago

Graph the funxtion y=|x+2|-3

Mathematics

2 answers:

zhenek [66]3 years ago

5 0

First you need to pick a number for y. Lets say you pick 0
Then you need to +3 to each side
Then you can say 3=x+2 or -3=x+2.
To find x you need to subtract 2.
You answer would be (1,3) and (-5.-3)

lozanna [386]3 years ago

5 0

The answer is option a)

this is because at x=0 , y=|0+2|-3=2-3=-1 , so the y-intercept is -1
at y=0 , 0=|x+2|-3 »» |x+2|=3
so this means
x+2=3 and -(x+2)=3
x=1 and -x-2=3 »» -x=5 »» x=-5

so the x-intercept are x=1 and x=-5

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Help!!

Elza [17]

Answer:

$(b)\ 2x - 9 = -1$

$(c)\ -2x + 12 = 4$

$(e)\ 2(x - 10) = -12$

Step-by-step explanation:

Required

Which equals $x = 4$

$(a)\ 2x + 6 = 2$

Collect like terms

$2x = 2 - 6$

$2x = -4$

Divide both sides by 2

$x = -2$

$(b)\ 2x - 9 = -1$

Collect like terms

$2x = -1 + 9$

$2x = 8$

Divide both sides by 2

$x = 4$

$(c)\ -2x + 12 = 4$

Collect like terms

$-2x =- 12 + 4$

$-2x =-8$

Divide both sides by -2

$x = 4$

$(d)\ 2(x + 2) = 10$

Divide both sides by 2

$x + 2 =5$

Collect like terms

$x = 5-2$

$x = 3$

$(e)\ 2(x - 10) = -12$

Divide both sides by 2

$x - 10 = -6$

Collect like terms

$x = 10 - 6$

$x = 4$

Hence, the equations with the required solution are:

$(b)\ 2x - 9 = -1$

$(c)\ -2x + 12 = 4$

$(e)\ 2(x - 10) = -12$

3 0

3 years ago

Can you explain it for me?

nikdorinn [45]

B is the right answer

5 0

3 years ago

Which statement about the simplified binomial expansion of (a + b)", where n is a positive integer, is true?

Alja [10]

Answer:

$(a+b)^n ={n \choose 0}a^{(n)}b^{(0)} + {n \choose 1}a^{(n-1)}b^{(1)} + {n \choose 2}a^{(n-2)}b^{(2)} + ..... +{n \choose n}a^{(0)}b^{(n)}$

Step-by-step explanation:

The Given question is INCOMPLETE as the statements are not provided.

Now, let us try and solve the given expression here:

The given expression is: $(a +b)^n, n > 0$

Now, the BINOMIAL EXPANSION is the expansion which describes the algebraic expansion of powers of a binomial.

Here, $(a+b)^n = \sum_{k=0}^{n}{n \choose k}a^{(n-k)}b^{(k)}$

or, on simplification, the terms of the expansion are:

$(a+b)^n ={n \choose 0}a^{(n)}b^{(0)} + {n \choose 1}a^{(n-1)}b^{(1)} + {n \choose 2}a^{(n-2)}b^{(2)} + ..... +{n \choose n}a^{(0)}b^{(n)}$

The above statement holds for each n > 0

Hence, the complete expansion for the given expression is given as above.

4 0

3 years ago

Read 2 more answers

Please answer this correctly

SCORPION-xisa [38]

Answer:

1. <B, <A, <C

2. <E, <D, <F

Step-by-step explanation:

Recall: the longest side of a triangle would be opposite the largest angle, while the shortest side of a triangle would be opposite the smallest angle.

1. <B is opposite the shortest side, 3 (smallest angle)

<A is opposite the medium side, 4 (medium angle)

<C is opposite to the largest side, 5 (largest angle)

Therefore, the angles in ascending order would be:

<B, <A, <C

2. <E is opposite the shortest side, 5 (smallest angle)

<D is opposite the medium side, 6 (medium angle)

<F is opposite to the largest side, 7 (largest angle)

Therefore, the angles in ascending order would be:

<E, <D, <F

6 0

3 years ago

Just one problematic Answer

Arturiano [62]

All you have to do is divide 75 by .15. To start, you need to get rid of the decimal in .15, so move your decimal two spots to the right to turn .15 into 15. Then you have to move your decimal that is implied to be at the end of 75 over two spots because you moved the decimal in .15 which makes it 7,500. Now you have:
7,500 ÷ 15 = 500 500 is your answer.

7 0

4 years ago