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3241004551 [841]
2 years ago
9

Mangoes are on sale 4 for $3. Mindy buys 14 mangoes.

Mathematics
1 answer:
shutvik [7]2 years ago
3 0

Answer:

11.76

Step-by-step explanation:

14 \div 4 = 3.5 \\ 3.5 \times 3 = 10.5 \\ 10.5 \times (1 + 12\%) = 10.5 \times 1.12 = 11.76

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3 years ago
Which graph represents the function of f(x) = the quantity of 9 x squared plus 9 x minus 18, all over 3 x plus 6
lora16 [44]

Answer:

The answer is the option C

graph of 3x minus 3, with discontinuity at negative 2, negative 9

Step-by-step explanation:

we have

f(x)=\frac{9x^{2}+9x-18}{3x+6}

Simplify

f(x)=9\frac{(x^{2}+x-2)}{3(x+2)}

f(x)=3\frac{(x^{2}+x-2)}{(x+2)}

Step 1

Convert to a factored form the numerator

x^{2}+x-2=0    

Group terms that contain the same variable, and move the constant to the opposite side of the equation

x^{2}+x=2

Complete the square. Remember to balance the equation by adding the same constants to each side.

x^{2}+x+0.25=2+0.25

x^{2}+x+0.25=2.25

Rewrite as perfect squares

(x+0.5)^{2}=2.25

Square root both sides

x+0.5=(+/-)1.5

x=-0.5(+/-)1.5

x=-0.5+1.5=1

x=-0.5-1.5=-2

so

x^{2}+x-2=(x-1)(x+2)  

Step 2

Simplify the function f(x)

f(x)=3\frac{(x^{2}+x-2)}{(x+2)}=3\frac{(x-1)(x+2)}{(x+2)}

The domain of the function f(x) is all real numbers except the number x=-2

Because the denominator can not be zero

f(x)=3\frac{(x-1)(x+2)}{(x+2)}=3(x-1)=3x-3  

f(x)=3x-3  ------> with a discontinuity at x=-2

f(-2)=3(-2)-3=-9

The discontinuity is at point (-2,-9)

the answer in the attached figure

8 0
3 years ago
Read 2 more answers
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vitfil [10]
Dagney reads at 40 pages an hour, or .75 pages a minute.

it would take 4.5 hours to read the novel
3 0
3 years ago
Given that f (x) = x^2 - 5x + 6, evaluate the function f (-2).
AlexFokin [52]

Answer:

f(- 2) = 20

Step-by-step explanation:

To evaluate f(- 2) substitute x = - 2 into f(x)

f(- 2) = (- 2)² - 5(- 2) + 6 = 4 + 10 + 6 = 20

8 0
3 years ago
Use the relationship between the angles in the
krok68 [10]

Answer:

Depends on what x represents.

Step-by-step explanation:

Can you provide more details?

8 0
4 years ago
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