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SIZIF [17.4K]
3 years ago
12

The function f(x) = 3.45x + 12 relates how much Catherine pays for electricity service, f(x), to the number of Units of power, x

, she uses in a month. What is the value and meaning of f(2)?
$30.09; this is the amount Catherine pays for 2 units of power in 1 month.

$30.09; this is the amount Catherine pays for 2 units of power in 12 months.

$18.90; this is the amount Catherine pays for 2 units of power in 1 month.

$18.90; this is the amount Catherine pays for 2 units of power in 12 months.
Mathematics
1 answer:
anastassius [24]3 years ago
6 0
We have that
<span>f(x) = 3.45x + 12

substitute  for x=2
f(2)=3.45*2+12-------> f(2)=$18.90/month

$18.90 is the amount, that </span><span>Catherine pays for 2 units of power in 1 month
</span>
therefore

the answer is the option 
<span>$18.90; this is the amount Catherine pays for 2 units of power in 1 month.</span>
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7 0
3 years ago
The solution to the following system of linear equations lies in which quadrant? −2x + 3y = 8 4x + y = −2
sashaice [31]
First, let's find the solution.

-2x + 3y = 8
Add 2x to both sides.
3y = 2x + 8
Divide both sides by 3.
y = 2/3x + 8/3

4x + 2/3x + 8/3 = -2
14/3x + 8/3 = -2
Subtract 8/3 from both sides.
14/3x = -14/3
Multiply both sides by 3/14.
x = -1

y = 2/3(-1) + 8/3
y = -2/3 + 8/3
y = 6/3, or 2.

The solution is (-1, 2) which lies in Quadrant II, because its outline is (-, +).
4 0
4 years ago
One-quarter of a pound of bananas costs $0.82. How much does one pound of bananas cost?
aev [14]

Answer:

.82 x 4 = $3.28

.82 = 1/4 pound, so you multiply by 4 (the reciprocal of 1/4) to get a whole.

Hope this helps <3

3 0
4 years ago
Read 2 more answers
How how you could use the Commutative Property to simplify the evaluation of the expression -7/16 - 1/4 - 5/16
likoan [24]

Answer:

im pretty sure its if i read what ur doing right

Step-by-step explanation:

should be 0.3125 i think

7 0
3 years ago
Solution A is an $80\%$ acid solution. Solution B is a $30\%$ acid solution. (a) Find the amount of Solution A (in mL) that must
Irina-Kira [14]

Answer:

(a)2000\text{ ml} (b)40\text{ ml and }60\text{ ml} (c)NO

Step-by-step explanation:

GIVEN: Solution A is an \$80\% acid solution. Solution B is a \$30\% acid solution.

TO FIND: (a) Find the amount of Solution A (in mL) that must be added to 500 \text{ml} of Solution B in order to produce a 70\% acid solution. (b) Find the amount of Solution A and Solution B (in mL) that can be combined in order to form a 100 \text{ml} solution that is 50\% acid. (c) Does there exist a combination of Solution A and Solution B that is 90\% acid.

SOLUTION:

(a)

Let total amount of solution A added be x

Total amount of mixture =500+x\text{ ml}

As resulting solution is  70\% acid solution.

Amount of acid in final solution is sum of acid in both solutions

\frac{70}{100}(500+x)=\frac{80}{100}x+\frac{30}{100}\times500

35000+70x=80x+15000

x=2000\text{ ml}

(b)

Let amount of Solution A be x\text{ ml}

Amount of solution B =100-x\text{ ml}

As resulting solution is 50\% acidic solution

Amount of acid in final solution is sum of acid in both solutions

\frac{50}{100}\times100=\frac{80}{100}x+\frac{30}{100}(100-x)

5000=80x+3000-30x

50x=2000

x=40\text{ ml}

Amount of solution B =100-40=60\text{ ml}

(c)

No as concentration of final solution can not be greater than one with higher concentration.

7 0
4 years ago
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