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OleMash [197]
3 years ago
14

Someone help with these 2 please

Mathematics
1 answer:
11111nata11111 [884]3 years ago
3 0

Answer:

There you go on this part

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18 A woman is 3 times as old as her son.
photoshop1234 [79]

Answer:

The son in 12 years old and the woman is 36 years old

Step-by-step explanation:

Let the woman’s current age be w years and son’s age be s years. According to the question, the woman is 3 times as old as her son then, w=3s Also, it is given that 8 years ago the product of their ages were 112 Therefore, (w-8)(s-8)=112 (3s-8)(s-8)=112 Solving for s, we get 3 s^{2}-32s-48=0 By using quadratic equation s=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}=\frac{-(-32)+\sqrt{32^{2}-4(3)(-48)}}{2(3)}=\frac{-(-32)+\sqrt{1570}}{6}=\frac{71,62}{6}=11.9 \cong 12 s=12 We know that w=3s w=3 \times 12 = 36. Hence, the woman’s age is 36 years and the son’s age is 12 years.

5 0
3 years ago
A homeowner is draining her swimming pool. The volume of water in the pool changes by −12 gallons every minute. What is the chan
Lynna [10]

Answer:

-12*60= -720 gallons

Step-by-step explanation:


6 0
4 years ago
A square patio has an area of 182 square feet. How long is each side of the patio to the nearest tenth?
jek_recluse [69]

Answer:

13.5 feet

Step-by-step explanation:

Square root of 182 = 13.49

8 0
3 years ago
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Which is the inverse of the function f(x) = 4x2
Sholpan [36]

Answer:

\sqrt{\frac{x}{4}}  and  -\sqrt{\frac{x}{4}}

Step-by-step explanation:

The function is given as  f(x)=4x^2

<em>to find inverse, we follow the steps shown below:</em>

<em>1. write "y" in place of "f(x)"</em>

<em>2. interchange "x" and "y"</em>

<em>3. solve for the new "y"</em>

<em>4. replace y with f^-1(x)</em>

<em />

Let's do this:

f(x)=4x^2\\y=4x^2\\x=4y^2\\y^2=\frac{x}{4}\\y=+-\sqrt{\frac{x}{4}}

These 2 are the inverse functions.

3 0
3 years ago
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Find angle A if mDE is equal to 53° and mBC is equal to 8°
vodomira [7]
The angles a is equal 61°
6 0
4 years ago
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