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3 years ago

Please need help with 2. 3. 4. 10. 9. i am confused please show work it is for 20 points

Mathematics

1 answer:

pickupchik [31]3 years ago

8 0

Answer:

Step-by-step explanation:

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Using the distributive property to find the product (y – 4)(y2 + 4y + 16) results in a polynomial of the form y3 + 4y2 + ay – 4y

Travka [436]

( y - 4 ) ( y² + 4 y + 16 ) =
= y³ + 4 y² + 16 y - 4 y² - 16 y - 64 = y³ - 64
If the result is the polynomial of the form:
y³ + 4 y² + a y - 4 y² - a y - 64
a = 16

8 0

2 years ago

Which of the following are solutions to the equation below? Check all that apply. 3x2 + 27x + 54 = 0

Alex_Xolod [135]

Answer: the answers are -3 and -6

Step-by-step explanation:

6 0

2 years ago

Each month, a local bakery pays $0.75 per square foot to lease 500 square feet of space in a building. The bakery must also pay

ElenaW [278]

Answer:

$C=375+0.025d$

Step-by-step explanation:

Given:

'C' represent total cost of lease. 'd' represents cost of sales in dollars.

Cost of 1 square foot of building = $0.75

Total area of the building = 500 square feet.

Sales tax on the total sales = 2.5%

Now, cost of 500 square feet area = Cost of 1 square foot × Total area

Cost of 500 square feet area = $0.75\times 500=\$375$

Now, sales tax is 2.5 of total sales 'd'. This gives,

Sales tax = $2.5\%\times d=\frac{2.5}{100}d=0.025d$

Now, total cost is the sum of least amount and total sales tax.

Total cost = Least amount + Sales tax

⇒ $C = 375+0.025d$

8 0

3 years ago

A right triangle is shown. An altitude is drawn to form a right angle with the opposite side and split the side into lengths of

dusya [7]

Answer:

3√2

Step-by-step explanation:

Find the diagram attached

Sine the base of the triangle are divided equally the opposite angle to the sides will be 45 degrees

Considering one of the right angles triangle;

Hypotenuse = x

Opposite = 3

Angle theta = 45 degrees

According to SOH CAH TOA

sin theta = opp/hyp

sin 45 = 3/x

x = 3/sin45

x = 3/(1/√2)

x = 3 * √2

x = 3√2

Hence the value of x is 3√2

4 0

2 years ago

Fatema is making three hanging lanterns. They are each in the shape of a cone with a base radius of 0.5 feet and a slant height

Anastasy [175]

Answer:

$9.42\ ft^{2}$

Step-by-step explanation:

step 1

Find the surface area of one hanging lantern

we know that

The surface area of a cone (hanging lantern) is equal to

$SA=\pi r^{2} +\pi rl$

we have

$r=0.5\ ft$

$l=1.5\ ft$

assume

$\pi=3.14$

substitute the values

$SA=(3.14)(0.5)^{2} +(3.14)(0.5)(1.5)$

$SA=3.14\ ft^{2}$

step 2

Find the surface area of the three hanging lanterns

$SA=(3)*3.14=9.42\ ft^{2}$

6 0

2 years ago