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wariber [46]
3 years ago
12

F(x) = x2 − 8x + 15 g(x) = x − 3 h(x) = f(x) ÷g(x)

Mathematics
2 answers:
olasank [31]3 years ago
5 0
Hello : 
x²-8x+15 = (x-3)(x-5)
<span>h(x) = f(x) ÷g(x) = (x-3)(x-5)/(x-3)= x-5</span>
Pachacha [2.7K]3 years ago
5 0

Answer:

Step-by-step explanation:

Given: It is given that f(x)=x^2-8x+15 and g(x)=x-3.

To find: The value of h(x)=\frac{f(x)}{g(x)}

Solution: It is given that f(x)=x^2-8x+15 and g(x)=x-3, then the value of h(x)=\frac{f(x)}{g(x)} will be:

h(x)=\frac{x^2-8x+15}{x-3}

h(x)=\frac{x^2-5x-3x+15}{x-3}

h(x)=\frac{x(x-5)-3(x-5)}{(x-3)}

h(x)=\frac{(x-3)(x-5)}{(x-3)}

h(x)=x-5

Thus, the value of h(x) will be x-5.

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Dennis_Churaev [7]

Answer:50 cents. $5

Step-by-step explanation: each pound of sugar costs 50 cents. you can find that out by dividing the amount of sugar you have by the cost.

3 0
3 years ago
Read 2 more answers
My car gets 23 miles per gallon at 60 miles per hour. Is the number of miles I can drive at 60 miles per hour a linear function
stiv31 [10]

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The constant ratio (23 mi)/(1 gal) tells you the number of miles is a linear function of the number of gallons.

  miles = (miles/gallon) × gallons

  miles = constant × gallons . . . . . a linear function of gallons

7 0
2 years ago
Graph the inequality.<br> -6 ≤y + 2x &lt; 15
omeli [17]

Inequalities help us to compare two unequal expressions. The correct option is B.

<h3>What are inequalities?</h3>

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.


The given inequality -6 ≤y + 2x < 15 can be broken into two small inequality, as shown below.

  • -6 ≤y + 2x
  • y + 2x < 15

Now, if we plot the inequality as shown below, then the area in which both the shaded region overlap is the area of the this inequality.

Hence, the correct option is B.

Learn more about Inequality:

brainly.com/question/19491153

#SPJ1

6 0
2 years ago
Harper works at an electronics store as a salesperson. Harper earns a 6% commission on the total dollar amount of all phone sale
agasfer [191]

<u>Answer:</u>

The system of equations are

x + y = 2600   …….equation (1)

and, 6x + 5y = 13700  ……equation (2)

<u>Explanation:</u>

Let x = amount of sales of phone;

y = amount of sales of computer

For phone, 6% of sales is 6% of x, or 6% * x = 0.06x.

Similarly for computer,

5% of y = 0.05y

Given the total sales; x + y = 2600

And commission; 0.06x + 0.05y = 137; or 6x + 5y = 13700

Therefore the system of equations are

x + y = 2600   …….equation (1)

6 x + 5 y = 13700  ……equation (2)

7 0
3 years ago
What is the slope of a line passing through (7, 6) and (9, 0)?
r-ruslan [8.4K]
Slope is equal to rise over run. For this question we use 0-6=-6 as the numerator and 9-7=2 as the denominator, thus the slope is -6/2=-3
5 0
2 years ago
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