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3 years ago

Explain why the graph of the equation g(x) = -(x + 1 ) - 3 would be a parabola opening downward.

Mathematics

1 answer:

sashaice [31]3 years ago

3 0

Answer: Because the a-value is negative.

Step-by-step explanation:

The vertex form of a quadratic equation is: y = a(x - h)² + k where

"a" is the vertical stretch
-a is a reflection over the x-axis
h is the horizontal shift (positive = right, negative = left)
k is the vertical shift (positive = up, negative = down)

Given: g(x) = - (x + 1)² - 3

↓

a= -1

Since the a-value is negative, the parabola will be reflected over the x-axis which will change the curve from (U-shaped) to (∩-shaped).

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kondaur [170]

A digit is a number in one of the places, so for example the number 54 has two digits; a tens place digit (5) and a ones place digit (4).

Say the mystery number is a two digit number = xy
* that's not x times y but two side by side digits.

Info given:
the sum of the digits of a two-digit number is 6
x + y = 6 
if the digits are reversed, yx the difference between the new number and the original number is 18.

**To obtain the number from digits you must multiply by the place and add the digits up. (Example: 54 = 10(5) + 1(4))

Original number = 10x + y
Reversed/New number = 10y + x

Difference:
10y + x - (10x + y) = 18
9y - 9x = 18
9(y - x) = 18
y - x = 18/9
y - x = 2

Now we have two equations in two variables
y - x = 2
x + y = 6

Re-write one in terms of one variable for substitution.
y = 2 + x
sub in to the other equation to combine them.
x + (2 + x) = 6
2x + 2 = 6
2x = 6 - 2
2x = 4
x = 2

That's the tens digit for the original number. Plug this value into either of the equations to obtain y, the ones digit.

2 + y = 6
y = 4

number "xy" = 24

4 0

3 years ago

Kelly inherits land which had a basis to the decedent of $95,000 and a fair market value of $50,000 on August 4, 2018, the date

Degger [83]

Answer:

The correct option is;

Her recognized loss is ($1,000)

Step-by-step explanation:

The given information are;

The basis of the land to the decedent = $95,000

The land's market value on 4th of August 2018 when the decedent died = $50,000

The alternate valuation date = 6 months + The date of death of the decedent = 4th February, 2019

The value filed by the executor on the tax return using the alternate valuation date = The market value of the estate on 4th of February 2019

The market value of the land on 4th of February 2019 = $45,000

∴ The value filed by the executor on the tax return using the alternate valuation date = $45,000

The value of the land on November 12, 2018 when the executor distributed the land to Kelly = $49,000

The value at which Kelly sells the land on June 10, 2019 = $48,000

Given that, recognized gain is the profit made from selling an asset based on the value of the asset when it was obtained, we have;

Kelly's recognized gain or loss = (The value at which Kelly sells the land) - (The value of the land when the executor distributed the land to Kelly)

Kelly's recognized gain or loss = $48,000 - $49,000 = -$1,000 = ($1,000)

Therefore, Kelly's recognized loss = ($1,000).

6 0

3 years ago

I need help with this please

AnnZ [28]

Hi there! The answer is C.

The area of the square in the middle is the following:
$length \: \times \: width \: = 5 \times 5 = 25$
Hence, the area of the square is 25 cm^2.

The area of one triangle is the following:
$0.5 \times base \: \times \: height \: = 0.5 \times 5 \times 8 = 20$
Hence, the total area of the four triangles is 4 × 20 = 80 cm^2.

Therefore, the total area of the pyramid is 80 + 25 = 105 cm^2. The answer is C.

6 0

3 years ago

Read 2 more answers

Terrance decorates T-shirts to sell. He spends $200 on 100 T-shirts that he sells for

Shtirlitz [24]

Answer:

Step-by-step explanation:

He make 420 dollar off them 70 shirts

8 0

3 years ago

Read 2 more answers

12) Find the value of x.