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liubo4ka [24]
3 years ago
6

1 Find the value of the expression 4a + 7 when a = 2

Mathematics
2 answers:
CaHeK987 [17]3 years ago
4 0

Answer:

15

Step-by-step explanation:

Gnom [1K]3 years ago
3 0
The answer is obviously 15.
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I eat 2 spoons of nuts every day for a week. Then I eat 3 spoons for the following w weeks. How many spoons did I eat on average
Shtirlitz [24]

Answer:

7.5 nuts each day

Step-by-step explanation:

(2*7)+(3*7)=35 spoons of nuts

35*3=105 nuts in two weeks

105/14=7.5 nuts each day

7 0
3 years ago
What is the equation of the quadratic graph with a focus of (4,3) and a directrix of y=-6
Rufina [12.5K]

Answer:

f(x) = (1/18)x^2 - (4/9)x - 65/18

Step-by-step explanation:

Since the focus (4,3) is higher up than is the directrix y = -6, the vertex is between y = -6 and y = 3, halfway between these values, to be exact:  y = -3/2.  Thus, the y-coordinate of the vertex is (-6 + 3/2), or -4.5.  The x-coordinate of the vertex is 4, which comes from that 4 in (4,3).  Thus, the vertex is (4, -4.5) or (4, -4 1/2).

The standard equation for a vertical parabola with vertex at (h,k) is:

4p(y-k) = (x-h)^2, where p is the distance between vertex and focus or between vertex and directrix.  In this case p = 4.5.  Thus, the equation of this quadratic is 4(4.5)(y - [-4.5]) = (x - 4)^2, or

18(y+4.5) = (x-4)^2, or y+4.5 = (1/18)(x-4)^2.

Let's expand this and rewrite the result as a quadratic equation in standard form y = ax^2 + bx + c:

y + 4.5 = (1/18)(x^2 - 8x + 16).  Multiplying all terms by 18 to remove both fractions, we get:

18y + 81 = x^2 - 8x + 16.  Rearranging these terms, we get:

18y = x^2 - 8x + 16 - 81, or

18y = x^2 - 8x - 65, or

y = f(x) = (1/18)x^2 - (4/9)x - 65/18.

5 0
3 years ago
Read 2 more answers
20) The sales tax on a $25 shirt purchased at the Laker Store in Russell Springs is $1.99. What is the sales tax rate in Russell
elixir [45]

Answer:

the cost is $26

i think ths answer would be help full

4 0
3 years ago
From 1995-2005, the hourly pay for lifeguards at an outdoor swimming pool increased by 2% per year. The hourly pay, P(t), in dol
12345 [234]

Answer:

The hourly pay for the lifeguards in 2001 was of $6.31.

Step-by-step explanation:

The hourly pay, in dollars, in t years after 1995, is given by the following equation:

P(t) = 5.60(1.02)^{t}

What was the hourly pay for the lifeguards in 2,001?

2001 is 2001 - 1995 = 6 years after 1995. So this is P(6).

P(t) = 5.60(1.02)^{t}

P(6) = 5.60(1.02)^{6} = 6.31

The hourly pay for the lifeguards in 2001 was of $6.31.

7 0
3 years ago
What is the circumference and area of the circle
djverab [1.8K]

Answer:

the circumference is: 10.048 ft

the area is: 8.0384 ft

4 0
3 years ago
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