Practice Exercise 1:
1. Given the polynomial functionp(x) = 12 + 4x - 3x2 – x3, find
(a) The degree of the polynomial
(b) The leading coefficient
(c) The constant term
(d) The number of zeroes

Answer: k=3

Step-by-step explanation:

To solve for k, you want to isolate k.

[tex]\frac{2}{5} (5k+35)-8=12[/tex]            [add both sides by 8]

[tex]\frac{2}{5} (5k+35)=20[/tex]                  [multiply both sides by 5/2]

[tex]5k+35=50[/tex]                       [subtract both sides by 35]

[tex]5k=15[/tex]                               [divide both sides by 5]

[tex]k=3[/tex]

Now, we know that k=3.

Answer:

$135

Step-by-step explanation:

first divide 36 by 8

gives you how much you earn for one hour

36/8=4.5

then multiply

4.5 by amount of hours worked

so 4.5*30=135

The amount of money earned on a job for 30 hours is $135.

The amount of money earned on a job is directly proportional to the number of hours worked.

The amount of money earned for 8 hours of work is $36.

We need to determine the amount earned for 30 hours of work.

Let us determine the amount earned per hour.

Thus,

[tex]\begin{aligned}8\;\rm{Hours \;of\;work}&=\$36\\1\;\rm{Hour \;of\;work}&=\$\dfrac{36}{8}\\&=\$4.5 \end{aligned}[/tex]

Therefore, the amount earned per hour is $4.5.

Now, multiply by 30 to get the amount earned for 30 hours.

Thus, the amount of money earned on a job for 30 hours is $135.

To know more about it, please refer to the link:

https://brainly.com/question/2146068

The value of fraction 0.5 7  is equal to 1/2.

We are given that;

Number = 0.57

Now,

There are different ways to express a fraction as a decimal, but one common method is to divide the numerator by the denominator.

For example, 1/2 as a decimal is 1 ÷ 2 = 0.512.

Another method is to use a fraction to decimal conversion chart or calculator345. According to these sources, 0.5 as a fraction is equal to 5/10 or 1/2.

These fractions are equivalent because they have the same value when simplified or reduced.

To simplify a fraction, we can divide both the numerator and the denominator by their greatest common factor (GCF).

Therefore, by algebra the answer will be 1/2.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ6

Answer:

send me your disc ill help

Step-by-step explanation:

Answer:

3,000

Step-by-step explanation:

Answer:

3,000

Step-by-step explanation:

Since 4 is less than 5, the digit must not change. Meaning its 3,000

hoped i helped and hopefully i didnt sound confusing

Answer:

-The force on an object due to it's mass and gravity

Answer:

E

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

8 white balloons

56 balloons in total

8:56 = 1:7

Answer:

[tex]\boxed{x=10}[/tex]

Step-by-step explanation:

We are given two angles, which together, have a sum of 90°. We call these complementary angles. The angle ∠EAF is the complement of angle ∠FAB and vice versa.

Therefore, because they sum up to be 90°, we can simply add the angles together and solve for x this way.

[tex]4x+5x=90\\\\9x = 90\\\\\frac{9x}{9} = \frac{90}{9}\\\\\boxed{x = 10}[/tex]

The variable x equals 10. We can go even further to check and verify that this is correct by substituting our original value for x into the equation.

[tex]4(10)+5(10)=90\\\\40 + 50 = 90\\\\90 = 90[/tex]

90 does in fact equal 90, so your final answer is x = 10°.

Hope this helps! :)

Answer:

allen

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

I got it right on the test.

Answer:

μx = 17

σx = 2.2

Step-by-step explanation:

See attachment for full question.

Given:

μ = 17

σ = 22

[tex]n = 100\σ = 22[/tex]

Required

Determine (i) μx and  (ii) σx

Solving (i): μx

The mean of a sample means is calculated as thus:

μx = μ

Hence:

μx = 17

Solving (ii): σx

σx = σ/√n

So, we have:

σx = 22/√100

σx = 22/10

σx = 2.2

Answer:

the answer is 0 when you lose nine yards you are at -9 then you gain 3 on each of the next 3 plays so that is 9-9= 0

Step-by-step explanation:

Answer:

A) 0

B) 0

C) 0

D) 0.5

Step-by-step explanation:

We are told that Men have XY (or YX) chromosomes and women have XX chromosomes

A) If a father has the defective x chromosome and the mother has good XX chromosomes, the four possible outcomes will be;

{xX, YX, YX, xX}

The outcome for the son is;

{YX, YX}

The son will have the disease only if it's xY. Thus, probability of son having the disease is; 0/2 = 0

B) If a father has the defective x chromosome and the mother has good XX chromosomes, the four possible outcomes will be;

{xX, YX, YX, xX}

The outcome for the daughter is;

{xX, xX}

The daughter will have the disease only if it's xx. Thus, probability of daughter having the disease is; 0/2 = 0

C) If a mother has one defective x chromosome and one good Xchromosome, and the father has good XY chromosomes, the possible outcomes are;

{xX, xY, XX, XY}

Outcome for daughter is {xX, XX}

The daughter will have the disease it's xx. Thus, probability of daughter having the disease is; 0/2 = 0

D) If a mother has one defective x chromosome and one good Xchromosome, and the father has good XY chromosomes, the possible outcomes are;

{xX, xY, XX, XY}

The male outcome is;

{XY, xY}

The son will have the disease only if it's xY. Thus, probability of son having the disease is; 1/2 = 0.5

Answer:

81,000,000

Step-by-step explanation:

(3²)² × (10³)²

(9)² × (1000)²

81 × 1000000

81,000,000

Answer:

1000081

Step-by-step explanation:

=3^6+10^6

=81+1,000,000

Answer:

b

Step-by-step explanation:

Answer:

45 mph = x

Step-by-step explanation:

Engineering manager professional, proficient in all levels of Math

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Distance (D) = Rate (R) * Time (T)

For Car  A:  

D = 30T    {Eqn 1}

For Car B:

The Distance D and the time T is the same as for Car A

But, unlike Car A, Car B travels at two different rates.  It travels at 20mph for a time T1.  Then it passes Car A and travels at a rate of x for a period of time T2.

D = (20T1) + (x * T2)

Note that T2 must equal the total time T minus T1, so

D = (20T1) + (x * (T - T1))    {Eqn2}

Substitute Eqn 1 into Enq 2 :   30T = 20T1 + xT - xT1

Rewrite as:  30T = 20T1 + x(T-T1)  {Eqn 3}

At what point do the two cars pass one another?  

Car A travels 30T1  = D1

Car B is traveling in the opposite direction at 20T1 = D2

D2 = D - D1 (where D is the total circular length of the track)

Substituting, 20T1 = D - 30T1.   Or 50T1 = D   {Eqn 4}

Now we can establish a relationship between T and T1 by substituting Eqn1 into Eqn4

D = 30T = 50T1

30T = 50T1

(30/50)T = T1

T1 = (3/5)T   {Eqn 5}

Now substitute Eqn 5 into Eqn 3

30T = 20T1 + x (T-T1)

30T = 20(3/5)T+ x (T - 3/5 T)

30T = 12T +  xT(2/5)

18T = (2/5)x

(5/2)18 = x

45 mph = x

Recall that x is the speed that Car B must travel after it passes Car A.

Answer:

[tex](8x^2)^3\\= 512x^6[/tex]

You have to multiply the whole equation by cubed, since the parenthesis applies for the entire equation.

Answer:

-27

Step-by-step explanation:

First, let's call the smallest number: n

Then, the next two consecutive odd numbers would be:

n+2 and n+4 (this is because it's only odd numbers so we add 2)

We know the sum of these is −75 so we can write this equation and solve for n:

n + (n + 2) + (n + 4) = -75

n + n + 2 + n + 4 = -75

n + n + n + 2 + 4 = -75

n + n + n + 6 = -75

1n + 1n + 1n + 6 = -75

3n + 6 = -75        Subtract 6 from each side, which cancels the 6 on the left.

3n + 6 - 6 = -75 - 6

3n = -75 - 6

3n = -81       Divide each side by 3

3n/3 = -81/3

n = -81/3

n = -27

n + 2 = -27 + 2 = -25

n + 4 = -27 + 4 = -23

The 3 consecutive odd integers would be:

-27, -25, -23

Let's check our work:

-27 + -25 + -23 = -75    We are correct!

The smallest number is -27

Answer:

13 1/2

Step-by-step explanation:

Answer:

5.6 miles

Step-by-step explanation:

[tex]\frac{80 minutes}{7 miles} = \frac{64 minutes}{x}[/tex]

80x = 448

x = 5.6 miles

Answer:

Step-by-step explanation:

Solving exponents

a)

b)

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[tex]2 \times 24 = 48[/tex]

Thus we have 48 pencils in all.

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[tex]5000 - (2265 + 2150) = [/tex]

[tex]5000 - 4415 = [/tex]

[tex]585 \: \: dollors[/tex]

Thus the shopkeeper returned her 585 $.

Answer:

B (-5, 3)

Step-by-step explanation:

The line a passes through point ( 2,3 ).

Line b has equation y= -1

Plot the graph for line b, y=-1 , which is a horizontal line as shown in the attached graph

Plot point (2, 3) and draw the graph of line a, y=3 to form a line a parallel to line b

You will notice that point B (-5, 3) is the one the lies on line a.

The answer option A,(2,9) is incorrect  because it does not lie on any of the lines

The answer option C (0, 1) is incorrect because it lies along the y-axis

The answer option D (1, 4) is incorrect because it does not lie on any of the lines.

Answer:

You havent gaven enough information for me to solve the question, do i just freely pick how much magazine ads and tv ads i want until i get to 9k, im very confused

Step-by-step explanation:

Answer:

A. is the answer did you need an explanation

Answer:

11 units

Step-by-step explanation:

-3-1 = -4 = 4

8-1=7

4+7 = 11

Answer:

0.5

Step-by-step explanation:

[tex] \sqrt{0.25} = \sqrt{ \frac{25}{100} } = \frac{5}{10} = 0.5 \\ [/tex]

Answer:

0.5

Step-by-step explanation:

√

0.25

⇒

√

0.5

×

0.5

⇒

√

(

0.5

)

2

⇒

0.5