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Anna35 [415]
3 years ago
11

Click on all that are true about the graph of y > x^2 + 4x + 4.

Mathematics
2 answers:
Kryger [21]3 years ago
7 0

Answer:

The correct options are:

a) The parabola opens up.

c) The vertex is at (-2,0).

d) The parabola is dashed.

Step-by-step explanation:

We are given an algebraic inequality as:

y > x^2 + 4x + 4:

This implies that:

y> (x+2)^2

The options that holds true regarding this inequality is:

a)

The parabola opens up.

Since the coefficient of the leading term is positive.

c)

The vertex is at (-2,0).

d)

The parabola is dashed.

Since the inequality is a strict inequality.

( The line of symmetry of parabola is x=-2.

Also the parabola is shaded inside )

vladimir1956 [14]3 years ago
5 0
the answer is a,b,d
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Jose asks his friends to guess the higher of two grades he received on his math tests. He gives them two hints. The difference o
tatyana61 [14]

Answer : 96

x – y = 16 --------> equation 1

1/8 x + 1/2 y = 52

x is the higher grade and y is the lower grade

We solve the first equation for y

x - y = 16

-y = 16 -x ( divide each term by -1)

y = -16 + x

Now substitute y in second equation

1/8 x + 1/2 ( -16 + x ) = 52

1/8x - 8 + 1/2 x = 52

1/8x + 1/2x - 8 = 52

Take common denominator to combine fractions

1/8x + 4/8x -8 = 52

5/8x - 8 = 52

Add 8 on both sides

5/8x = 60

Multiply both sides by 8/5

x = 96

We know x is the higher grade

96 is the higher grade of Jose’s two tests.

8 0
3 years ago
Graphic DesignWorks ships the t-shirts it makes in boxes that measure 20 in x 18 in x 15 in. The company rents a storage space t
ioda

Answer:

  D)  1,036,800 boxes

Step-by-step explanation:

The volume of a box is ...

  (20 in)(18 in)(15 in) = 5400 in^3

The volume of the storage space is ...

  (300 ft)(240 ft)(45 ft) = 3,240,000 ft^3

Then the number of boxes that will fit in the storage space is ...

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8 0
3 years ago
The children in my subdivision were bored one summer and decided to hold a competition to see who could run to the end of the st
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Answer:

6.7% of children who finished the race in under 45 seconds.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 75 seconds

Standard Deviation, σ =  20 seconds

We are given that the distribution of time of completion is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(finished the race in under 45 seconds.)

P(x < 45)

P( x < 45) = P( z < \displaystyle\frac{45 - 75}{20}) = P(z < -1.5)

Calculation the value from standard normal z table, we have,  

P(x < 45) = 0.067 = 6.7\%

6.7% of children who finished the race in under 45 seconds.

4 0
3 years ago
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