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Oxana [17]
3 years ago
10

Dr. Jones has found over the years that 95% of babies delivered weighted x pounds, where |x-8.2| - 1.5 < 0.....Solve the ineq

uality....Show work
Mathematics
1 answer:
larisa86 [58]3 years ago
6 0

Answer:

6.7.

Step-by-step explanation:

We have been given an inequality |x-8.2|-1.5 and we are asked to solve our given inequality.

Let us add 1.5 to both sides of our inequality.

|x-8.2|-1.5+1.5

|x-8.2|

Upon using definition of absolute value function |f(x)| we can write our absolute function as:

x-8.2-1.5  

x-1.5+8.2  

x6.7  

Upon combining our ranges we will get,

6.7  

Therefore, our inequality solves to 6.7.



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What is the correct equation ​
Andrej [43]

Answer: y = 0.4x

In fraction form, this is y = (2/5)x

================================================

Explanation:

For each row, divide the y over x values

  • Row One: y/x = 0.8/2 = 0.4
  • Row Two: y/x = 4/10 = 0.4
  • Row Three: y/x = 6/15 = 0.4
  • Row Four: y/x = 10/25 = 0.4

We end up with the same thing each time.

Since y/x = 0.4, this rearranges to y = 0.4x

Alternatively, you can write the equation as y = (2/5)x because 2/5 = 0.4

6 0
3 years ago
The vertices of quadrilateral PQRS are listed.
sladkih [1.3K]

Answer. : C. Quadrilateral PQRS is a rectangle.

Step-by-step explanation: Plato

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3 years ago
Applying properties of Exponents In Exercise, use the properties of exponents to simplify the expression.
eimsori [14]

Answer:

(a) 5^{8}

(b) 3

(c) 27

(d) \dfrac{1}{6}  

Step-by-step explanation:

We need simplify the given expressions.

(a)

Consider the given expression is

(5^4)(25^2)

(5^4)((5^2)^2)

Using the properties of exponents we get

(5^4)(5^4)           [\because (a^m)^n=a^{mn}]

5^{4+4}                  [\because a^ma^n=a^{m+n}]

5^{8}

(b)

Consider the given expression is

(9^{\frac{1}{3}})(3^{\frac{1}{3}})

((3^2)^{\frac{1}{3}})(3^{\frac{1}{3}})

Using the properties of exponents we get

(3^{\frac{2}{3}})(3^{\frac{1}{3}})           [\because (a^m)^n=a^{mn}]

3^{\frac{2}{3}+\frac{1}{3}}                 [\because a^ma^n=a^{m+n}]

3^{1}

3

(c)

Consider the given expression is

(\dfrac{1}{3})^{-3}

Using the properties of exponents we get

(\dfrac{3}{1})^{3}         [\because a^{-n}=\dfrac{1}{a^n}]

3^{3}

27

(d)

Consider the given expression is

(6^4)(6^{-5})

Using the properties of exponents we get

6^{4+(-5)}                  [\because a^ma^n=a^{m+n}]

6^{-1}

\dfrac{1}{6^{1}}         [\because a^{-n}=\dfrac{1}{a^n}]

\dfrac{1}{6}  

6 0
3 years ago
For each equation how many solutions why?<br> Question e
Kay [80]

Answer:

one real solution

Step-by-step explanation:

it has only one solution since it is a linear graph and only intercepts the x axis once

4 0
3 years ago
A sporting goods factory produced 13,234 tennis balls per month.How many tennis balls does it produce during 12 months?​
Lyrx [107]

Answer:

158,808 !

Step-by-step explanation:

13,234 × m (months)

13,234 × 12

= 158,808

6 0
3 years ago
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