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Ostrovityanka [42]
2 years ago
6

Hank went to an apple orchard and paid an entrance fee of $5 and bought a pounds of apples at $2 per pound. Hank paid a total of

$19.
Which equation shows an equality between two different ways of expressing how much Hank paid in all?
A. 5a + 2 = 19
B. 5 + 2a = 19
C. 5a – 2 = 19
D. 5 – 2a = 19
Mathematics
2 answers:
Degger [83]2 years ago
8 0
The answer is B. 5 +2a = 19
babymother [125]2 years ago
5 0
The answer is 5 + 2a = 19
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Answer:

Identity

Step-by-step explanation:

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For the function g(x)=3x^2-3x-9 what is the value of g(4)
Annette [7]
G(4) = 3x^2 - 3x - 9

Since the g(4) would be g(x) if you didn't know the number. So, substitute all of the x's for 4.

g(4) = 3(4)^2 - 3(4) - 9

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I hope this helps you!
3 0
3 years ago
Two car washes charge a basic fee plus a fee based on the number of extras that
mezya [45]

<u><em>Answer:</em></u>

a. The first car wash charges more for the basic fee

b. 6 extras must be chosen for the total cost to be the same

<u><em>Explanation:</em></u>

The complete question is shown in the attached diagram

<u>The general form of the linear equation is:</u>

y = mx + c where m is the slope and c is the y-intercept

The y-intercept represents the initial value which, in the given problem, is the basic fee

<u>For the first car wash, we are given the equation:</u>

y₁ = x + 9

<u>Now, we will start by getting the equation for the second car wash:</u>

<u>1- getting the slope:</u>

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{12-9}{4-2}=1.5

The equation now is: y = 1.5x+c

<u>2- getting the y-intercept:</u>

To get the y-intercept, we will simply choose a point, substitute with it in the equation from 1 and solve for c. I will use point (2,9)

y = 1.5 x + c

9 = 1.5 (2) + c ............> c = 6

<u>The equation for the second car wash is:</u>

y₂ = 1.5x + 6

<u>Part 1:</u>

As mentioned above, the y-intercept represents the basic fee

<u>For the first car wash:</u>

y₁ = x + 9 ................> The basic fee is $9

<u>For the second car wash:</u>

y₂ = 1.5x + 6 ..............> The basic fee is $6

It is clear that the basic fee for the first car wash charges more for the basic fee

<u>Part 2:</u>

In both equations, x represents the number of extras. We want the total cost to be the same. So, we will simply equate y₁ and y₂ and solve for x

x + 9 = 1.5x + 6

1.5x - x = 9 - 6

0.5x = 3

x = 6

<u>Let's verify:</u>

<u>For x = 6:</u>

y₁ = x + 9 = 6 + 9 = $15

y₂ = 1.5x + 6 = 1.5(6) + 6 = $15

Total cost is the same. This means that 6 extras must be chosen for the total cost to be the same

Hope this helps :)

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3 years ago
What two numbers add to 4 and multiply to 1
Arlecino [84]
There are no numbers for this, thus you will have to use the quadratic formula.
4 0
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