Applications
Solve.
A(x) =
9. Triangles: The area of a triangle is į the product of its base and its height. If
the area of the triangle shown is given by the function A(x)=x2 + 24x, find
representations for the lengths of its base and its height (where the base is longer
than the height).
2

Answer:

$37,500

Step-by-step explanation:

Expected value is the sum of the outcomes times their probability.

E(X) = (-2500) (1) + (1,000,000) (0.04)

E(X) = 37,500

Another way of calculating it:

E(X) = (-2500+0) (0.96) + (-2500+1,000,000) (0.04)

E(X) = 37,500

Answer:

as all the sides are parallel to each other.

Step-by-step explanation:

the small lines on each side of the kite shows that all sides are equal / parallel to each other.

For the given figure, triangle ADB is congruent to triangle CBD, by SSS postulate.

In congruent geometry, the shapes are so identical that can be superimposed on themselves.

Consider triangle ADB and CDB,
AB = CB  [given]
AD = CD  {given}
BD = BD  [common side]

So, triangle ADB ≅ triangle  CDB, by SSS postulate.

Thus, triangle ADB ≅ triangle  CDB

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Answer:

D

Step-by-step explanation:

That as a decimal is 0.235, so its 235/1000

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Answer:

x= 17

Step-by-step explanation:

combine like terms

4x-7=61

4x=68

x=17

Answer:

The answer is c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

608,000

Step-by-step explanation:

their is not a th at the end of the word form

The factored expression of 5x² + 10x - 15 is 5(x + 3)(x - 1) or (x + 3)(5x - 5)

from the question, we have the following parameters that can be used in our computation:

5x² + 10x - 15

Factor our 5

5(x² + 2x - 3)

When expanded, we have

5(x² + 3x - x - 3)

So, we have

5(x(x + 3) - 1(x + 3))

Factor out x - 1

5(x + 3)(x - 1)

Hence, the factors are 5(x + 3)(x - 1)

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Ummm I just need to answer questions sorry!!!

Answer:

(3,4)

Step-by-step explanation:

Using midpoint formula

We get,

Answer:

How many drinks should be sold to get a maximal profit? 468

Sales of the first one = 345 cups

Sales of the second one = 123 cups

Step-by-step explanation:

maximize 1.2F + 0.7S

where:

F = first type of drink

S = second type of drink

constraints:

sugar ⇒ 3F + 10S ≤  3000

juice ⇒ 9F + 4S ≤  3600

coffee ⇒ 4F + 5S ≤  2000

using solver the maximum profit is $500.10

and the optimal solution is 345F + 123S

The interest rate that he should invest his initial amount compounded quarterly is 0.11001626264163722.

To calculate the interest rate that Tumelo should invest his initial amount at, compounded quarterly, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the future value (goal amount) of R28000,

P is the initial amount of R14600,

r is the interest rate (to be determined),

n is the number of times the interest is compounded per year (quarterly compounding),

t is the number of years (6 years).

Plugging in the given values, the equation becomes:

28000 =[tex]14600(1 + r/4)^(^4^*^6^)[/tex]

To solve for r, we need to isolate it on one side of the equation. We can do this by dividing both sides by 14600 and then taking the 6th root of both sides:

[tex](28000 / 14600)^(^1^/^(^4^*^6^)^) = 1 + r/4[/tex]

Taking the 6th root of (28000 / 14600) and subtracting 1, we find:

r/4 = (28000 / 14600)^(1/(4*6)) - 1

Multiplying both sides by 4, we obtain:

r = 4 * [(28000 / 14600)^(1/(4*6)) - 1]

Therefore, r = 0.11001626264163722

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Answer:

d(64+81cc²)

Step-by-step explanation:

Answer:In this chapter, we will develop certain techniques that help solve problems stated in ... Solution We substitute the value 3 for x in the equation and see

Step-by-step explanation:

Answer:

angle 1 = 129 degrees

angle 2 = 51 degrees

angle 3 = 129 degrees

Step-by-step explanation:

since angle 2 and 4 are vertical angles, they will have the same value (51). I took angle 2 and 1, and since those angles lie on a straight line, they equal 180 degrees. so I subtracted 180-51, and got 129, giving you the measurement of angle 1 and 3, since 1 and 3 are vertical angles. remember that vertical angles are always equal :)

Step-by-step explanation: To start things off, let's find the m<2.

Notice that <4 and <2 are vertical angles since they share

a common endpoint and their sides form opposite rays.

Vertical angles are always congruent so we know that the m<4 = m<2.

Since the m<4 = 51, the m<2 must also be 51.

Now, notice that <1 and <2 form a straight angle

which always adds to 180 degrees.

So we have the equation 51 + x = 180.

Solving from here, we find that x = 129.

So the m<1 = 129.

Since <1 and <3 are again vertical, we know that m<3 = 129.

Answer:

1360     340 x 4 = 1360

Step-by-step explanation:

Answer:

can u please be more specific i don't rlly understand.

The solution to the inequality is not ( 1 , 0 )

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

y = x³ - 4x² + 2

Now , when x = 1 and y = 0

0 = ( 1 )³ - 4 ( 1 )² + 2

0 = 1 - 4 + 2

0 ≠ -1

And , 0 > -1

Hence , the inequality is solved

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The complete question is attached below :

The ordered pair (1,0) is a solution to the inequality y = x³ - 4x² + 2

a) True

b) False

The time Period is 2990 years.

Suppose the principal is P, and the interest rate is R, and the time period is T.

The total amount is A.A = P + I, where I is the interest earned by the principal.

The interest earned is given by the formulaI = (P × R × T)/100Using the values given in the question, we can rewrite it as300P = P + (10/100) × P × T

Thus, we can write300P = P + 0.1PTake out P from both sides of the equation, we get299P = 0.1P × TWe can further simplify it by dividing both sides by 0.1P.2990 = T

Therefore, the time period is 2990 years.

the time period is 2990 years. In practice, interest rates are never that high, and even if they were, it would be impossible for anyone to wait for that long to earn that much interest.

It is more likely that there is an error in the question itself. The question might be asking for something else or it might have a typo.

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Answer:

x = 4

Step-by-step explanation:

11x= 6x +20

-6x   -6x

(subtract 6x from both sides)

5x = 20

/5x   /5x

divide 5x from both sides

x=4

Answer:

y = -2(x+2)(x-1)/((x+3)(x-6)) = (-2x^2 -2x +4)/(x^2 -3x -18)

Step-by-step explanation:

A polynomial function will have a zero at x=a if it has a factor of (x-a). For the rational function to have zeros at x=-2 and x=1, the numerator factors must include (x+2) and (x-1).

For the function to have vertical asymptotes at x=-3 and x=6, the denominator of the rational function must have zeros there. That is, the denominator must have factors (x+3) and (x-6). Then the function with the required zeros and vertical asymptotes must look like ...

f(x) = (x+2)(x-1)/((x+3)(x-6))

This function will have a horizontal asymptote at x=1 because the numerator and denominator degrees are the same. In order for the horizontal asymptote to be -2, we must multiply this function by -2.

The rational function may be ...

y = -2(x +2)(x -1)/((x +3)(x -6))

If you want the factors multiplied out, this becomes

y = (-2x^2 -2x +4)/(x^2 -3x -18)

Answer:

$3,745.93

Step-by-step explanation:

i got it right on edge

Answer:

A. Commutative Property of Multiplication

B. Distributive Property

C. Associative Property of Multiplication

Step-by-step explanation:

The reasons A, B and C are:

The equation is given as:

[tex]\mathbf{(4 \cdot 3)l + (2 \cdot 4)l =20l}[/tex]

First, we apply the commutative property of multiplication.

So, we have:

[tex]\mathbf{(4 \cdot 3)l + (2 \cdot 4)l =(4 \cdot 3)l + (4 \cdot 2)l }[/tex]

Next, apply the distributive property

[tex]\mathbf{(4 \cdot 3) + (2 \cdot 4)l =4 \cdot (3 + 2)l }[/tex]

Addition

[tex]\mathbf{(4 \cdot 3) + (2 \cdot 4)l =4 \cdot (5)l }[/tex]

By the associative property of multiplication, we have:

[tex]\mathbf{(4 \cdot 3) + (2 \cdot 4)l =4 \cdot 5 \cdot l}[/tex]

[tex]\mathbf{(4 \cdot 3) + (2 \cdot 4)l = 20l}[/tex]

Hence, the reasons A, B and C are:

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Answer:

I would ad a 0on both sides to make the numbers even and both a two digit number

Answer:

h = 9

Step-by-step explanation:

h + 1 = 10

Subtract 1 from each side

h + 1-1 = 10-1

h = 9

Answer:

The answer is 5

Step-by-step explanation:

6 x _ = 30

How to find the blank? Divide. 6 / 30 = 5. B)

Answer: 12

Step-by-step explanation:

Lets take x as one number and y as another

x + y = 40

2y + 4 = x

Lets replace x with the equation above

2y + 4 + y = 40

3y + 4 = 40

3y = 40 - 4

3y = 36

y = 36/3

y = 12

Answer:

12, 28

Step-by-step explanation:

4 times 3 is 12, and 12 times 2 plus 4 is 28, there's your answer!

Hope this helps :)

9514 1404 393

Answer:

  a) 40°

  b) 70°

  c) 35°

  d) 105°

Step-by-step explanation:

a) x is half the given angle, so is ∠BAC/2 = 80°/2.

  x = 40°

__

b) ∠ABC has a value that makes the angles in the triangle have a sum of 180°.

  ∠ABC +∠BAC +30° = 180°

  ∠ABC = 180° -30° -80°

  ∠ABC = 70°

__

c) y is half the measure of ∠ABC, so is 70°/2.

  y = 35°

__

d) z has a value that makes the angles in its triangle have a sum of 180°.

  x + y + z = 180

  z = 180 -x -y = 180 -40 -35

  z = 105°

Answer:

a = 7

Step-by-step explanation:

90 - 52 = 38

5a + 3 = 38

5a + 3 = 38

      -3     -3

   [tex]\frac{5a}{5}[/tex]= [tex]\frac{35}{5}[/tex]

a = 7