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Rudik
1 month ago
5

Complete the synthetic division problem below. What is the quotient in polynomial form?

Mathematics
2 answers:
lawyer [12.5K]1 month ago
4 0

Answer:

A. 2x² - 2x + 2

Step-by-step explanation:apex

AnnZ [12.3K]1 month ago
3 0
A; you start with the first term, 2, multiply by -2 to get -4. Adding -4 to 2 results in -2. Then, take -2 and multiply to get 4, adding that to the third term, -4. This gives you 2, which when multiplied by -2 results in -4, and adding that to 4 produces a remainder of 0.

The coefficients of the quotient are 2, -2, and 2, forming the expression 2x² - 2x + 2.

I hope this is helpful!:)
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Which situation most directly illustrates a possible outcome of a fiscal policy?
Zina [12379]

Answer: B. The federal funding available for education declines.
Step-by-step explanation:
Government fiscal policy pertains to spending and taxation strategies aimed at influencing economic direction. Generally, it can be categorized into Expansionary or Contractionary policies. An Expansionary policy involves increasing government spending or lowering taxes to provide consumers with more disposable income. Conversely, a Contractionary policy implies decreasing spending or raising taxes. Thus, a decline in federal funds for education could result from a Contractionary fiscal approach.
5 0
1 month ago
Seymour is twice as old as Cassandra. If 16 is added to Cassandra’s age and 16 is subtracted from Seymour’s age, their ages beco
PIT_PIT [12445]

Answer:

\text{The present age of Cassandra=x=32 yrs}

\text}{The present age of Seymour=2x=2\times 32=64 yrs}

Step-by-step explanation:

Based on the fact that Seymour’s age is double that of Cassandra. If 16 is added to Cassandra’s age and 16 is deducted from Seymour’s age, both will be of the same age.

We need to determine their current ages.

Let Cassandra's current age be x years

Given that Seymour is twice as old as Cassandra

Thus, Seymour's current age=2x years

According to the problem, if 16 is added to Cassandra's age and 16 is subtracted from Seymour's age, their ages will equal each other.

⇒ x+16=2x-16

2x-x=16+16

x=32 yrs

\text{The present age of Cassandra=x=32 yrs}

\text}{The present age of Seymour=2x=2\times 32=64 yrs}

8 0
16 days ago
1. What is the probability of rolling a number greater than a 4 on a standard dice? Remember to reduce your fraction.
babunello [11817]
1. 1/3. 2. 7.
6 0
13 days ago
Read 2 more answers
Bob Cooper was born in 1900. By 1930 he had 3 sons, all with the Cooper last name. By
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12 Cooper kids in total
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13 days ago
Part B
AnnZ [12381]

Answer:

Part A) The straight-line distance between the school and the Fire Station is 4.6\ miles

Part B) The straight-line distance between the school and the hospital is 2.1\ miles

Step-by-step explanation:

The full question can be found in the attached image.

Let

The positive x-coordinates represent the East

The positive y-coordinates represent the North

The negative x-coordinates indicate the West

The negative y-coordinates indicate the South

Treat point A (0,0) as the Middle School (reference point).

Part A) The Town Hall is situated 4.3 miles directly east of the Middle School,

thus the coordinates for Town Hall are B(4.3,0).

The Fire Station is positioned 1.7 miles directly north of Town Hall, therefore

the coordinates for the Fire Station are C(4.3,1.7).

What is the straight-line distance between the school and the Fire Station?

Keep in mind that

the distance formula between two points is indicated as

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

We have

A(0,0) and C(4.3,1.7).

Now substitute

d=\sqrt{(1.7-0)^{2}+(4.3-0)^{2}}

d=\sqrt{(1.7)^{2}+(4.3)^{2}}

d=4.6\ miles

Part B) Now considering

The hospital is 3.1 miles west of the fire station.

The coordinates for the hospital are D(4.3-3.1,1.7).

D(1.2,1.7)

What is the straight-line distance between the school and the hospital?

Remember that

the distance formula applies here as well,

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

with points A(0,0) and D(1.2,1.7).

Substituting the values gives us

d=\sqrt{(1.7-0)^{2}+(1.2-0)^{2}}

d=\sqrt{(1.7)^{2}+(1.2)^{2}}

d=2.1\ miles

7 0
1 month ago
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