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Karo-lina-s [1.5K]
3 years ago
13

Please help!

Mathematics
2 answers:
lions [1.4K]3 years ago
3 0
Michelle's result shows f(2) = -13, selection C.
chubhunter [2.5K]3 years ago
3 0

Answer:

C. -13

Step-by-step explanation:

The polynomial f(x) she is dividing would be f(x)=1x²-7x-3.  This is because in synthetic division, the numbers used are the coefficients of the polynomial, and the polynomial will have a degree one larger than the divisor.  Since the divisor is x-2, with a degree of 1, the polynomial will have a degree of 2, meaning it begins with an x².

The first coefficient is 1; this is 1x².  The second coefficient is -7; this is -7x.  The last coefficient is -3; this is -3.  Together, this gives us

f(x) = 1x²-7x-3

To find f(2), substitute 2 in for every x:

f(2) = 1(2²)-7(2)-3 = 1(4)-14-3 = 4-14-3 = -10-3 = -13

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Work out angle bxc. give a reason for each angle you work out
Rus_ich [418]

Answer:

∠ BXC = 70°

Step-by-step explanation:

∠ XBC and ∠ AXY are corresponding angles and are congruent, then

∠ XBC = 55°

Since XB = XC , then Δ XBC is isosceles and the 2 base angles are congruent.

∠ BXC = 180° - (55 + 55)° ← angle sum of triangle

∠ BXC = 180° - 110° = 70°

7 0
2 years ago
Which expression is equal to f(x)/g(x)
Pani-rosa [81]

Answer: i'd say c

Step-by-step explanation:

8 0
3 years ago
Paul has a stock portfolio worth $21,000. His home is valued at $365,000. His car is valued at $19,000. He owes $362,000 on his
kompoz [17]

Answer:

Paul has negative worth of $2,900

His statement is invalid as he did not consider all assets and debts in aggregate.

Step-by-step explanation:

The net worth of Paul is the total asset owned by him less the total of debts owed by him.

Paul's total assets can computed thus:

Stock portfolio                 $21,000

Home worth                     $365,000

Car worth                          $19,000

Total assets                       $405,000

Paul's total debts can be computed as follows:

Mortgage loan                     $362,000

Car loan                                $16,250

credit card debt                     $11,750

Student loan                          $17,900

Total debts                             $407,900

The amount of debts owed by Paul is $2,900($405,000-$407,900) more than his asset worth,which implies that Paul is indebted to the tune of $2,900,hence has negative worth.

6 0
3 years ago
What is the completely factored from of 9x2+24x+16
dezoksy [38]

Answer:

(3x+4)(3x+4) is factor of given expression.

B is correct.

Step-by-step explanation:

We are given an expression 9x^2+24x+16

Formula: a^2+2ab+b^2=(a+b)^2

First we write each term as perfect square as formula.

\Rightarrow 9x^2+24x+16

\Rightarrow (3x)^2+2\cdot 3x\cdot 4+4^2

Using formula , a=3x and b=4

\therefore (3x)^2+2\cdot 3x\cdot 4+4^2=(3x+4)^2

Now we write same number two times.

Hence, (3x+4)(3x+4) is factor of given expression.

3 0
2 years ago
A city has a population of 280,000 people. suppose that each year the population grows by 4.5% . what will the population be aft
Anastasy [175]

Given that population of the city is 280000.

Rate of growth of the population = r = 4.5% = 0.045

We have to find population after 15 years so time

t = 15

We can use growth formula to find the required population which is given by :

A=P(1+r)^t

Where P= starting population = 280000

r= rate of growth = 0.45

t= time = 15

now plug these values into above formula.

A=280000(1+0.45)^{15}

A=280000(1.45)^{15}

A=280000(263.34194176)

A=73735743.6928

Hence population after 15 years will be approx 73735743.

8 0
2 years ago
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