Use the properties of equality to simplify the equation. Tell whether the equation has zero, one, or infinitely many solutions.

F(x)=x^2-2x-7 <br> given the polynomial function find f(-5)

UkoKoshka [18]

Answer:

f(-5)=28

Step-by-step explanation:

f(x)=x²-2x-7

f(-5) means that we have to replace x by -5.

f(-5)=(-5)²-2(-5)-7=25+10-7=25+3=28

4 0

3 years ago

A projectile is launched into the air. The function h(t) = –16t2 + 32t + 128 gives the height, h, in feet, of the projectile t s

Zinaida [17]

Answer:

t = 4 seconds

Step-by-step explanation:

The height of the projectile after it is launched is given by the function :

$h(t)=-16t^2+32t+128$

t is time in seconds

We need to find after how many seconds will the projectile land back on the ground. When it land, h(t)=0

So,

$-16t^2+32t+128=0$

The above is a quadratic equation. It can be solved by the formula as follows :

$t=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}$

Here, a = -16, b = 32 and c = 128

$t=\dfrac{-32\pm \sqrt{(32)^2-4\times (-16)(128)} }{2\times (-16)}\\\\t=\dfrac{-32+ \sqrt{(32)^2-4\times (-16)(128)} }{2\times (-16)}, \dfrac{-32\- \sqrt{(32)^2-4\times (-16)(128)} }{2\times (-16)}\\\\t=-2\ s\ \text{and}\ 4\ s$

Neglecting negative value, the projectile will land after 4 seconds.

4 0

3 years ago

HELPP ME WITH 1,2,3 pleaseeeeeee

sattari [20]

2: (360-50-50)/2=130 degrees

5 0

2 years ago

Peter needs 12 quarts of paint to paint a room of his house. If 1 gallon is equal to 4 quarts, how many gallons of paint should

Alisiya [41]

Answer:

A

Step-by-step explanation:

Because if 1 gallon is equal to 4 quarts, multiply both numbers by 3, you'll have 3 gallons = 12 quarts.

8 0

3 years ago

Read 2 more answers

What is the difference of the volumes of the two oblique pyramids, both of which have square bases? Round the volumes to the nea

ad-work [718]

Answer:

Step-by-step explanation:

See attachment for the figure

Volume of pyramid can be defined as

V = 1/3 x area of the base x height.

-> Pyramid A:

Volume of Pyramid can be determined by:

V = 1/3 x (2.6cm)² x (2cm) = 4.5067 cm³

Pyramid B:

Volume of Pyramid can be determined by:

V = 1/3 x (2cm)² x (2.5cm) = 3.3333 cm³

Difference b/w two oblique pyramids: 4.5067 cm³ - 3.333 cm³ = 1.17 cm³

By Rounding the volumes to the nearest tenth of a centimeter

1.17cm³ ≈ 1.2cm³

Therefore, the difference of the volumes of the two oblique pyramids is 1.2cm³

4 0

3 years ago