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2 years ago

HELP ME ON THIS PLSS Kathy swims at least 6 laps everyday. Write an inequality to show how long Kathy swims each day.

Mathematics

1 answer:

mina [271]2 years ago

3 0

Answer:

x ≥ 6.

Step-by-step explanation:

Given : Kathy swims at least 6 laps every day.

To find: Write an inequality to show how long Kathy swims each day.

Solution : We have given that Kathy swims at least 6 laps every day.

We can see from given statement Kathy can swim 6 laps or greater then 6 laps in a day.

Then we use greater than or equal to sign ( for at least)

Since x ≥ 6.

Therefore, x ≥ 6.

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Given: g(x)=1/x+2 and h(x)=3x Check all restrictions on the domain of gOh.

Vlad [161]

The composite function $(g \circle h)(x)$ works like this:

Take a number $x$ as input
Evaluate h(x) = 3x. Let's call this output z.
Evaluate g(x) = 1/(z+2)

So, if we substitute back z = 3x, the final output is 1/(3x+2). We know that the denominator of a fraction can't be zero, so we must impose

$3x+2 \neq 0 \iff 3x \neq -2 \iff x \neq -\dfrac{2}{3}$

3 0

3 years ago

Read 2 more answers

If David plays 3 tennis matches every week for 9 weeks, how many matches will he play altogether

kari74 [83]

If he plays 3 matches a week for 9 weeks, you have to multiply 3&9.
3*9=27
Daniel will have played 27 tennis matches by the end of the 9 weeks.
Hope this helps:)

5 0

3 years ago

Read 2 more answers

N - 1/8 = 3/8 I am no smort and i forgot to study for a test =|

sdas [7]

Answer:

$\boxed{\sf{n=\dfrac{1}{2}=0.5 }}$

Step-by-step explanation:

Isolate the term of n from one side of the equation.

First, add by 1/8 from both sides.

n-1/8+1/8=3/8+1/8

Solve.

Add the numbers from left to right.

3/8+1/8=4/8

Common factor of 4.

4/4=1

8/4=2

Rewrite as a fraction.

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n=1/2

Divide is another option.

1/2=0.5

n=1/2=0.5

Therefore, the final answer is n=1/2=0.5.

I hope this helps you! Let me know if my answer is wrong or not.

3 0

2 years ago

Use the quadratic formula to solve x2 + 9x + 10 = 0. What are the solutions to the equation?

vampirchik [111]

Answer:

$\large\boxed{x=\dfrac{-9\pm\sqrt{41}}{2}}$

Step-by-step explanation:

$\text{The quadratic formula of}$

$ax^2+bx+c=0$

$\text{If}\ b^2-4a0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\=========================================$

$\text{We have}\ x^2+9x+10=0\\\\a=1,\ b=9,\ c=10\\\\\text{substitute:}\\\\b^2-4ac=9^2-4(1)(10)=81-40=41>0\qquad _{\text{two solutions}}\\\\\sqrt{b^2-4ac}=\sqrt{41}\\\\x=\dfrac{-9\pm\sqrt{41}}{2(1)}=\dfrac{-9\pm\sqrt{41}}{2}$

5 0

3 years ago

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What is (1.2 x 10^-2) x (3 x 10^5)

liraira [26]

Answer:

B. 3.6 x 10^3

Step-by-step explanation:

(1.2 x 10^-2) x (3 x 10^5)

When we multiply terms with powers , we multiply the factors out front and add the exponents

a * 10^b * c* 10^d = ac * 10^(b+d)

(1.2 x 10^-2) x (3 x 10^5) = (1.2* 3) * 10^(-2+5)

= 3.6 * 10 ^3

6 0

3 years ago