4.2(3.9r – 5.9s) 7.9s – 9.53r

Answer:

there right

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Step 1: Select 2 points  

(0,3)     (0.5, 3.5)

x1,y1     x2,y2

Step 2: use average rate of change formula

[tex]\frac{y2-y1}{x2-x1}[/tex] = average rate of change

[tex]\frac{3.5-3}{0.5-0} =\frac{0.5}{0.5} =1[/tex]

Answer:

8 quarters; 19 dimes trust me i checked

Step-by-step explanation:

Answer:

m∠BDR=63°  

Step-by-step explanation:

It is given that  line DR tangent to Circle O and m∠BCD=63°, then the measure of the angle BDR can be determined as:

Since, angle BDR is made between the chord and the tangent, and we know that the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment, therefore

m∠BCD=m∠BDR=63°

Hence, the measure of angle BDR=63°.

I think the answer is $216.99 ?

Answer:

The amount of interest on the loan was of $214.57.

Step-by-step explanation:

Slingerland borrowed $8,000 at an 11% interest rate, thus having to pay $880 after a year.

As the loan was due on October 17, and the difference between July 20 and October 17 is of 89 days, using the exact interest method we can affirm that:

880 / 365 x 89 = X

2.41 x 89 = X

$214.57 = X

The amount of interest on the loan was of $214.57.

Answer:

12

Step-by-step explanation:

I did the test

Answer:

The statements " cost of the number of the same articles purchased varying with the number purchased' shows direct variation .

Option (a) is correct .

Step-by-step explanation:

Definition of the direct variation

When two variables that can be expressed by an equation in which one variable is equal to a constant times the other.

i.e

[tex]x \propto y[/tex]

x = ky

As the x increases than y is also increase .

As given the statement in the question

The cost of the number of the same articles purchased varying with the number purchased.

i.e

As the number of purchased article increases thus cost of the articles also increases .

Therefore the statements " cost of the number of the same articles purchased varying with the number purchased' shows direct variation .

Option (a) is correct .

The Maclaurin series for f(n) is 1.

The Maclaurin series for a function can be found using the formula: f(x) = f(0) + f'(0)x + f''(0)x^2/2! + f'''(0)x^3/3! + ...

In this case, f(0) = (0+1)! = 1, f'(0) = d/dx((0+1)!) = d/dx(1) = 0, f''(0) = d^2/dx^2((0+1)!) = d^2/dx^2(1) = 0, and so on.

Using these values, the Maclaurin series for f(n) is: f(n)(x) = 1 + 0x + 0x^2/2! + 0x^3/3! + ... = 1.

Answer:

A. (1,-4)

Step-by-step explanation:

L= (-1, 2)

(x,y)>(x+2, y-6)

(x,y)>(-1+2, 2-6)

(x,y)>(1, -4)

The values which are greater than -7, satisfies the inequality -2x  + 8 + 5x > 2x + 1.

Inequality shows relation between two expression which are not equal to each others.

The given inequality is,

-2x  + 8 + 5x > 2x + 1.

To find the value of x,

Simplify the inequality by using mathematical operations,

3x + 8 > 2x + 1

3x - 2x > 1 - 8

x > -7

The required solution for the given inequality is x > -7.

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Answer:

The value of the car is 0.94 times the value of the car the previous year.

Answer:

Option C is correct

The value of the car is 0.94 times the value of the car the previous year.

Step-by-step explanation:

Given the function:

[tex]p(t) = 24,525(0.94)^t[/tex]

where,

p(t) represents the value of a new car

t is the number of years.

We have to find  the value 0.94 represent in this situation.

For t =0 years.

Initial value of car p(0) is 24,525

For t = 1 years

[tex]p(1) =24,525 \cdot 0.94[/tex]

For t = 2 years

[tex]p(2) =24,525 \cdot (0.94)^2[/tex] and so on...

Since;

[tex]\frac{p(2)}{p(1)} = 0.94[/tex]

⇒[tex]p(2) = 0.94 \cdot p(1)[/tex]

In general:

[tex]p(t) = 0.94 \cdot p(t-1)[/tex] where, t is the number of years.

⇒the value of the car is 0.94 times the value of the car the previous year.

The inequality that represents the third side of the triangle is the third side < 13.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance.

Given, A triangle has sides of length 3 cm and 10 cm.

From the rule of the triangle, The sides of a triangle rule assert that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.

thus, we can say that

third side < 10 + 3

third side < 13

Therefore, The inequality third side < 13 is used to represent the triangle's third side.

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Final answer:

Using the Triangle Inequality Theorem, the third side of a triangle with sides of 3 cm and 10 cm must be greater than 7 cm and less than 13 cm.

Explanation:

To determine the possible length of the third side of a triangle given two side lengths of 3 cm and 10 cm, we use the Triangle Inequality Theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, the third side must be longer than 7 cm (10 cm - 3 cm) but shorter than 13 cm (10 cm + 3 cm).

Factorize the given complex expression first into simpler terms (x-2)^2, (x+5)^2 and (x-2)(x+5). After canceling the matching terms, you simplify to get (x-2)/(x+5)

This mathematical question involves the simplification of a fractional expression. The problem can be solved with factoring and canceling out matching terms found in both the numerator and denominator. Step by step solution would be:
((x2-4x+4) can be factored into (x-2)^2.
(x^2+10x+25) can be factored into (x+5)^2.
(x^2+3x-10) can be factored into (x-2)(x+5).
Thus, the whole equation will be converted into
((x-2)^2 / (x+5)^2) x ((x+5) / (x-2)(x+5)).
Cancel (x+5) and (x-2) from the numerator and denominator, which leaves:
(x-2)/(x+5).

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Answer:

The answer is 1/36

Step-by-step explanation: