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Solnce55 [7]
2 years ago
12

The slope of the function on the left is multiplied by p, and q is added to the y-intercept to arrive at the function on the rig

ht. Which of the following are the values for p and q?
A) p= 1/4 and q= 3
B) p= 1/4 and q= 5
C) p= 1/4 and q= 4
D) p= 4 and q= 4

Mathematics
1 answer:
Marizza181 [45]2 years ago
5 0

Answer:

the answer is C

Step-by-step explanation:

plato

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A rectangle has a perimeter of 30 ft. Find a function that models its area A in terms of the length x of one of its sides. What
Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)

Given P = 30ft, on substituting P = 30 into the expression;

30 = 2(x+y)

x+y = 15

y = 15-x

Also since the area of the rectangle is xy;

A = xy

Substitute y = 15-x into the area;

A = x(15-x)

A = 15x-x²

The function that models its area A in terms of the length x of one of its sides is A = 15x-x²

The side of length x yields the greatest area when dA/dx = 0

dA/dx = 15-2x

15-2x = 0

-2x = -15

x = -15/-2

x = 7.5 ft

Hence the side length, x that yields the greatest area is 7.5ft.

Since y = 15-x

y = 15-7.5

y = 7.5

Area of the rectangle = 7.5*7.5

Area of the rectangle = 56.25ft²

6 0
2 years ago
A father decided to give twenty five percent of his monthly income to his three children as their monthly allowance. The eldest
Helen [10]

Answer:

The youngest child will receive $2000

Step-by-step explanation:

A father decided to give 25% of his monthly income to his three children as their monthly allowance.

The eldest child got 45% of the allowance and the youngest got 20%. This means that the second child got:

100 - (45 + 20) = 100 - 65 = 35%

The second child received $3500.

Let the 25% of his monthly income be x.

Hence:

35% of x = 3500

=> \frac{35}{100} * x = 3500

x = \frac{3500 * 100}{35}

x = $10000

The amount the man shared among his children is $10000.

Hence, the youngest child (20%) will receive:

20% of $10000

\frac{20}{100} * 10000

= $2000

The youngest child will receive $2000.

3 0
3 years ago
Which equation results from adding the equations in this system? 11 x minus 3 y = -17. Negative 4 x + 3 y = - 18.
marta [7]

Answer:

Therefore the results from adding the equation in this system is

7x=-35

Step-by-step explanation:

Given:

Equations as

11x-3y=-17         .......................1

-4x+3y=-18         .......................2

To Find :

Result when adding equation 1 and 2 = ?

Solution

On adding equation 1 and 2 the "3y" term will get cancel and the like terms will combine that is add (11x and -4x ) and ( -17 and - 18)  as shown below

           11x     -    3y    = -17

           -4x    +   3y     = - 18

-------------------------------------------

           7x     + 0        =  - 35

---------------------------------------------

Therefore the results from adding the equation in this system is

7x=-35

7 0
3 years ago
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2 variable inequalities from their graphs . Please answer. Ty!
Alexus [3.1K]

Answer:

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Step-by-step explanation:

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Since slope is rise/run the slope is 1/3.

Since the y intercept (The point where the line hits y) is 1, the equation is

y<1/3x+1

BUT WAIT!

The line is solid meaning that we have to include the line as part of the values. This will make the new equation

y≤\frac{1}{3} x+1

8 0
3 years ago
Factor this trinomial.b^2-6b-7?your answer should consist of two binomials.
Stolb23 [73]

b^2-6b-7=b^2+b-7b-7=b(b+1)-7(b+1)\\\\=\boxed{(b+1)(b-7)}

4 0
2 years ago
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