A town's public works department is concerned that a certain intersection is dangerous for cars and

Mathematics

1 answer:

EleoNora [17]3 years ago

8 0

Answer:

The data the department should collect is the incidents that occur at that intersection.

Step-by-step explanation:

The question told us that the Public Work's department is concerned that an intersection is dangerous and needs a stop sign. Due to them saying that it is dangerous, we would want to know how many incidents occur as that will let us know if it is dangerous or not.

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Factorize using identities (i) 1-64x³+48x²-12x

enot [183]

Answer:

(1 - 4x)³

Step-by-step explanation:

The first 2 terms are a difference of cubes and factor in general as

a³ - b³ = (a - b)(a² + ab + b²), thus

1 - 64x³

= 1³ - (4x)³

= (1 - 4x)(1 + 4x + 16x²)

Thus

1 - 64x³ + 48x² - 12x ← factor out 12x from each of the 2 terms

= (1 - 4x)(1 + 4x + 16x²) + 12x(4x - 1) ← factor out - 1 from (4x - 1)

= (1 - 4x)(1 + 4x + 16x²) - 12x(1 - 4x) ← factor out (1 - 4x) from the terms

= (1 - 4x)(1 + 4x + 16x² - 12x)

= (1 - 4x)(1 - 8x + 16x²) ← perfect square

= (1 - 4x)(1 - 4x)²

= (1 - 4x)³ ← in factored form

6 0

3 years ago

Write a division expression that has a negative solution.

Anon25 [30]

Answer:

3/-3=-1

Step-by-step explanation:

any number divided by a negative number gives a negative answer

8 0

2 years ago

Mikayla is a waitress who makes a guaranteed $50 per day in addition to tips of 20% of all her weekly customer receipts, t. She

notsponge [240]

Answer:

D. $f(t)=300+0.20t$

Step-by-step explanation:

We have been given that Mikayla is a waitress who makes a guaranteed $50 per day.

Since Miklaya works 6 days per week, so the guaranteed income for one week would be $\$50\times 6=\$300$

We are also told that she gets tips of 20% of all her weekly customer receipts, t. So amount earned from tips would be 20% of t, that is $\frac{20}{100}t=0.20t$ .