The polynomials ax³ -3 x² +4 and 2x³ -5x+a, when divided by (x-2), leave the remainders p and q are respectively. If p -2 q=4, find the value of a.​

Answer:

x = 50

Step-by-step explanation:

Answer:

x = 50

Step-by-step explanation:

180 - 75 = 105

2x + 5 = 105

now I subtracted both sides by 5

2x = 100

divide both sides by 2:

x = 100/2

x = 50

Have a nice day!

Answer:

20/9

Step-by-step explanation:

2/(9/10)=(2/1)(10/9)=20/9

Answer:

c. cosine of the angle

Step-by-step explanation:

Cos = adj/hyp

in unit circle

cos = x/1

cos = x

x is the horizontal leg

Answer:

C. Cosine of the angle

Step-by-step explanation:

I calculated it logically

Answer:

12

It would be easier to explain if the triangle and the parallelogram have their points named.

Some first hints: The area of a tri

angle equals to 1/2 of height times length of corresponding base side. The area of a parallelogram equals to height times the corresponding base side. in addition, in a parallelogram, two opposing side have the exact same length.

Since then, we can write the area of the triangle as 1/2× h× 18= 9×h

we can write the area of the parallelogram as : 18×h

Since then, we can write the area of the compound as 9×h + 18×h= 27h.

Voila. I gues you can figure out the rest. Please ask more if you have trouble with this

Answer: 12

Step-by-step explanation:

Answer:

58.5 feet you're welcome

Answer:

The original number was -8

Step-by-step explanation:

You can find this out because -8 divided by 2 is -4 and then plus 10 would become 6

Answer:

-8

Step-by-step explanation:

We know that Sara has a number by which she divides by 2, added 10 and ended up with 6. We are then asked to find the original number she had in mind.

To solve, we need to go backwards, starting with the original number, and applying all the steps she did but with the opposite operation.

6 is her ended number, we know before she added 10, so subtract 10 from 6:

[tex]6-10=-4[/tex]

Now we know that she divided by 2, therefore multiply -4 by 2:

[tex]-4*2=-8[/tex]

-8 was Sara's first number.

Answer:

The theoretical probability that the first number is even and the second number is odd is [tex]\frac{1}{4}[/tex].

Step-by-step explanation:

Since each dice has six sides, and there are two die, the total amount of different outcomes are [tex]6^2[/tex] or 36. The probability of getting an even number on the first roll is [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex], and the probability of getting an odd number on the second roll is also [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex], so the probability of getting an even number on the first roll and an odd number on the second roll is [tex]\frac{1}{2} * \frac{1}{2} = \frac{1}{4}[/tex].

Answer:yes

Step-by-step explanation: it represents a function

9514 1404 393

Answer:

  C. 6 > 3

Step-by-step explanation:

It is true that 6 is greater than 3.

__

All negative numbers are less than any positive numbers.

We hope you are sufficiently familiar with numbers and counting to be able to tell which positive numbers are more or less than any other positive number.

Answer:

i think thAt it is c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

1. it is a linear equation 98 plus something is going to equal 180 so you would put subtract 98 from 180 to get 82

2. since the other angle is inscribed you would double you answer to get 164

Answer:

KL = 5.3

Step-by-step explanation:

Base on proportionality theorem, we have the following equation showing the relationship between the segments:

4/6 = KL/8

Cross multiply

6*KL = 8*4

6*KL = 32

DIvide both sides by 6

KL = 32/6

KL ≈ 5.3

Answer:

[tex]x = 55°[/tex]

Step-by-step explanation:

L1 and L2 are parallel, so that the 2 interior angles are equal to 180°.

[tex](2x + 10) + (x + 5) = 180° \\ 2x + x + 10 + 5 = 180° \\ 3x = 165° \\ x = 55°[/tex]

Answer:

20 units

Step-by-step explanation:

The formula for the area:

A = bh × 1/2

B = 8 units

H = 5 units

8 × 5 = 40

40 × 1/2 = 20

She can find out answer by dividing 21÷3 and the answer is 7

She can make 7 bird house

7 is the answer of the question

21÷ 3

=7

Step-by-step explanation:

hope it is helpful to you

Answer:

Step-by-step explanation:

Hope it is helpful.....

Answer:

Suppose the one number be x

And the other number be 6x

The sum of two numbers is 5

x+6x=5

7x=5

X=5/7

Therefore

One number be 5/7

And other number be 6 * 5/7=30/7

If you are helped with my answer pls tag me brianliest I really want it

THANK YOU...............

Answer:

The answer should be $57000(1.025)²⁰ = $93,401

Step-by-step explanation:

The standard deviation of the distribution is 1.08.

Option B is the correct answer.

The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.

We have,

To find the standard deviation of the distribution, we first need to calculate the expected value (mean) of X.

The expected value of X is:

E(X) = (4)(0.4) + (3)(0.32) + (2)(0.17) + (1)(0.08) + (0)(0.03)

= 1.6 + 0.96 + 0.34 + 0.08 + 0

= 2.98

Next, we need to calculate the variance of X:

Var(X) = (4 - 2.98)²(0.4) + (3 - 2.98)²(0.32)

+ (2 - 2.98)²(0.17) + (1 - 2.98)²(0.08) + (0 - 2.98)²(0.03)

= 0.64(0.4) + 0.0004(0.32) + 0.7921(0.17) + 5.4084(0.08) + 8.6404(0.03)

= 0.256 + 0.000128 + 0.134257 + 0.432672 + 0.259212

= 1.082

The standard deviation of X is the square root of the variance:

So,

SD(X) = √(Var(X))

= √(1.082)

= 1.04 (approximately)

Thus,

The standard deviation of the distribution is 1.08.

Learn more about standard deviation here:

brainly.com/question/23907081

#SPJ7

Step-by-step explanation:

the equation :

Hn = 7n + 3

where :

Hn : the height of trees at year to-n

n : year to-n (n = 1,2,3,...)

so, the rate of change : increasing 7 feet per year.

The rate of change of the average height and feet of the trees on the farm with respect to the number of years will be 7.

A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.

Slope = Tanx where x will be the angle from the positive x-axis at that point.

The slope could be positive or negative.

The slope is also calculated by differentiation for example slope of y = sinx will be y' = cosx.

The rate of change also refers to the slope.

The slope associated with two points (x₁, y₁) and (x₂, y₂) is given by

Slope = (y₂ - y₁)/(x₂ - x₁).

Taking two points (1,10) and (3,24)

Slope associated with these;

(24-10)/(3-1) = 7

Hence "The rate of change of the average height and feet of the trees on the farm with respect to the number of years will be 7".

To learn more about slopes,

https://brainly.com/question/3605446

#SPJ2

Answer: seven-teen

Step-by-step explanation:twenty minus three

The age of the boy three years ago is A = 17 years

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The present age of the boy = 20 years

Three years ago, the boy's age would have been:

20 - 3 = 17

Hence , the boy was 17 years old three years ago.

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

<a=138°

<b=42°

<c=138°

<d=138°

<e=42°

<f=42°

Step-by-step explanation:

<a is supplementary with the 42° angle:

<a=180°-42°=138°

<b and the 42° are vertical angles, so:

<b=42°

<c and <a are also vertical angles so:

<c=<a=138°

<d and <a are corresponding angles, so:

<d=<a=138°

<e and <b are corresponding angles, so:

<e=<b=42°

<f and the 42° angle are corresponding angles, so:

<f=42°

<g and <c are corresponding angles, so:

<g=<c=138°

Answer:

539,900 if thats what you're looking for.

Step-by-step explanation:

Answer:

539900

Step-by-step explanation:

Answer:

S10= -341

Step-by-step explanation:

1,-2,4,-8,16,.......

Sum of first 10 terms of geometric sequence

Sn=a(r^n-1)/r-1

where, a= first term

n= number of terms

r=common ratio

common ratio (r)= second term/first term

r=-2/1

r=-2

a=first term

a=1

n= number of terms

n=10

S10=1[(-2)^10-1]/-2-1

S10=(1024-1)/-3

S10=1023/-3

S10= -341

therefore, the sum of the first 10 terms is -342

Answer:

sqrt( 3V /(pi h)) =r

Step-by-step explanation:

V = 1/3 pi r^2 h

Multiply each side by 3

3*V = 3*1/3 pi r^2 h

3V =  pi r^2 h

Divide each side by pi h

3V / (pi h) = pi r^2 h / ( pi h)

3V /(pi h) = r^2

Take the square root of each side

sqrt( 3V /(pi h)) = sqrt(r^2)

sqrt( 3V /(pi h)) =r

Answer:

x3−2x2−5x+10=(x2−5)(x−2)

Step-by-step explanation:

i hope i helped u