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4 years ago

Consider the functions. F(x)=(x+1)2-4 and g(x)=-4|x+1| which statement compares the range of the functions?

Mathematics

1 answer:

Andreyy894 years ago

3 0

Answer:

<h2> The fourth</h2>

Step-by-step explanation:

Vertex of f is (-1, -4) so its range is limited to y≥-4

|x+1| is always ≥0 therefore -|x+1| is always ≤0 {4 is insignificant to this - slope doesn't mean in range} so its range is limited to y≤0

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-4(6x+3)= -12(x+ 10)

Lilit [14]

Answer:

Step-by-step explanation:

-4(6x+3)= -12(x+10)

Let's do the first part:

-4(6x+3)

**distribute**

-4 x 6x = -24x; -4 x 3 = -12 ->>> -24x - 12

Let's do the second part:

-12(x+10)

**distribute**

-12 x x = -12x; -12 x 10 = -120 ->>> -12x -120

-24x -12 = -12x - 120

**Move variable to the left-hand side and change its sign**

-24x +12x -12 = -120

-12x - 12 = -120

-12x = 108

x = 108/-12

x=9

3 0

4 years ago

Explain which situation will give you the best price: a discount of 15% and then 10% off that amount, a discount of 10% and then

Katarina [22]

Answer:

Step-by-step explanation:

Let X be the initial price and P be the final price.

#Given a discount of 15% then 10% of that amount:

$P_1=(1-o)[X(1-d)}\\\\=(1-0.15)[X(1-0.10)]\\\\=0.765X$

Hence, the finial price is 76.5% of the initial price.

#Given a discount of 10% then 15% of that amount:

$P_1=(1-o)[X(1-d)}\\\\=(1-0.15)[X(1-0.1)]\\\\=0.765X$

Hence, the finial price is 76.5% of the initial price.

#Given a discount of 25%

$P_1=(1-d)X\\\\=(1-0.25)X\\\\=0.75X$

Hence, the finial price is 75.0% of the initial price. It therefore give's the best price due to it's 25% price reduction.

7 0

3 years ago

A candidate took a phone poll of 110 people. Of the 110 people polled, 87 said they would vote for the other person. There are 9

Drupady [299]

Using simple proportion it would be

87 * 9570
------------ = 7569 people
110

8 0

3 years ago

Read 2 more answers

What is the value of this expression when c= -4 and d = 10?

Alisiya [41]

Answer:

$c + d^2 = 96$

Step-by-step explanation:

Given

$c = -4\\d = 10$

Required

Find $c + d^2$

To find $c + d^2$ , we simply substitute 10 for d and -4 for c in the given expression.

The step is as follows:

$c + d^2$

Substitute $c = -4\\d = 10$

$c + d^2 = -4 + 10^2$

$c + d^2 = -4 + 10*10$

$c + d^2 = -4 + 100$

$c + d^2 = 96$

The expression cannot be solved any further; so, we can conclude that when d = 10 and c = -4, $c + d^2 = 96$

6 0

3 years ago

If point M lies at (3,5) and it was reflected over the x- axis, what would be the points location?

Dmitry_Shevchenko [17]

Answer:

(3, -5)

Step-by-step explanation:

To reflect a point over the x axis you change the value to a negative.

6 0

3 years ago