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Gnoma [55]
3 years ago
12

Given the function f(x)=-12x+7 and g(x)=4x-9, find the set of values of x such that f(x)=g(x). Justify your solution by using th

e properties of equality.
Mathematics
1 answer:
jolli1 [7]3 years ago
5 0

Hey there!!

We have:

... f(x) = -12x + 7

... g(x) = 4x - 9

<em>Now, we will have to find f(x) = g(x)</em>

... f(x) = g(x)

<em>... </em>-12x + 7 = 4x - 9

<em>... </em>9 + 7 = 4x + 12x

<em>... </em>16 = 16x

<em>... </em>x = 16/16

<em>... x = 1 </em>

<em>Hence, the value of 'x' is 1. </em>

<em>Hope this helps! </em>

<em>Happy Thanksgiving! :) </em>

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Fantom [35]

Answer:

Ezra can water at most approximately 8 sunflower plants with the remaining amount of water.

Step-by-step explanation:

Given the inequality function

0.7S+0.5L≤11 where S represent the number of sunflower plants and L represent the number of lily plants Ezra's water supply can water, if Ezra waters 10 lily plants, then we can calculate the maximum amount of sunflower plant that he can water with the remaining amount of water by simply substituting L = 10 into the inequality function as shown;

0.7S+0.5L≤11

0.7S+0.5(10)≤11

0.7S+5≤11

Taking 5 to the other side:

0.7S≤11-5

0.7S≤6

S≤6/0.7

S≤8.57

This shows that Ezra can water at most approximately 8 sunflower plants with the remaining amount of water.

3 0
3 years ago
A=b=c=0.8 Area (trigonometry)
attashe74 [19]

Answer:

Step-by-step explanation:

5 0
3 years ago
5. Isabella is calculating the interest earned on a deposit of $3,000 in an account that earns 4% simple interest after 6 years.
Anna35 [415]

Answer:

B. 300 dollars is 5he answers

6 0
3 years ago
In a certain region, 6% of a city’s population moves to the surrounding suburbs each year, and 4% of the suburban population mov
Charra [1.4K]

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Following are the differential equation:

\to P(C,S)t+1 = P(C,S)t+(- 0.06Ct +0.04St, 0.06Ct - 0.04St ) \ \ \ \\\\or \ \ \ \ \ \ \ \\\\ \to (0.94Ct + 0.04St, 0.96St + 0.06Ct)

In equation:

\to t = 0, \ as \ 2019\\\\\to Ct = 10,000,000  \\\\\to St = 800,000,000\\

\to P(C, S)1 = (0.94Ct + 0.04St, 0.96St + 0.06Ct) \\\\

                   = (0.94(10000000) + 0.04(800000), 0.96(800000) + 0.06(10000000))\\\\ = (9,400,000 + 32,000), (768,000 +6000000))\\\\ = (9432000, 1368000)

\to P(C, S)2 = (0.94(9432000) + 0.04(1368000), 0.96(1368000) + 0.06(9432000))

                  =(8,866,080 + 54,720), (1,313,280 + 565,920)\\\\=(8,920,800, 1,879,200)

3 0
3 years ago
What is the total cost of a $2,099 couch including the 6.5% sales tax?​
fomenos

Answer:

$2422

Step-by-step explanation:

2099/6.5=322.923076923 (were rounding that to 323)

so 2099+323=2422

8 0
3 years ago
Read 2 more answers
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