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2 years ago

11

2 diminished by 7 times a number

1 answer:

jolli1 [7]2 years ago

3 0

The answer is 2-7x I'm 100% sure

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Katy uses 1 8/9 bags of chocolate chips in one batch of cupcakes. if she has 3 11/12 bags of chocolate chips left, about how man

Oksi-84 [34.3K]

1 (8/9) = 1.88888888
3 (11/12) = 3<span><span>.9166666667 </span>

</span>
3<span>.91666 / </span>1.8888 = <span> <span> <span> 2.0735294118 </span> </span> </span>

So, she can make 2 batches of cupcakes.

8 0

2 years ago

Determine the value of x in the diagram.<br> 112<br> x<br> <<br> 68<br> 112<br> =

nasty-shy [4]

Answer:

The value of x is 68, all the angles in a parrelelogram equal 360, 68 + 112 + 112 + x = 360, all the angles are 292, and subtracted from 360 you get 68

Step-by-step explanation:

3 0

2 years ago

What is the inverse of the following statement?

Ksju [112]

The inverse of the statement is 'If it is Wednesday, then it is not sunny'

<h3>What is the inverse of a word?</h3>

The inverse of a word is simply the contrary nature or quality and could be termed opposite or reverse of a proposition or theorem that is formed by'

contradicting both the subject and predicate
Contradicting both the hypothesis and conclusion of a given proposition or theorem

For instance, the inverse of "if A then B" is "if not-A then not-B" and 'if not A, then B" is 'If A, not B ' is termed a compare contrapositive

From the information given, we have;

'If it is not Wednesday, then it is sunny'

We can see that the inverse of the proposition is;

'If it is Wednesday, then it is not sunny'

Thus, the inverse of the statement is 'If it is Wednesday, then it is not sunny'

Learn more about inverse here:

brainly.com/question/14391067

#SPJ1

6 0

1 year ago

A rectangular play area is 8 yards long. The expression 56+8x represents the area of the play area in square yards. What express

VikaD [51]

Answer:

w = 7 + x

Step-by-step explanation:

The formula for the area of a rectangle is

A = lw

56 + 8x = 8w

Divide both sides by 8

w = 7 + x

4 0

2 years ago

4TH TIME ASKING THIS!!! Please help me! Someone pleaseeee. I need the correct answers. I don’t want to fail

Alexeev081 [22]

Answer:

The functions are inverses; f(g(x)) = x ⇒ answer D

$h^{-1}(x)=\sqrt{\frac{x+1}{3}}$ ⇒ answer D

Step-by-step explanation:

* <em>Lets explain how to find the inverse of a function</em>

- Let f(x) = y

- Exchange x and y

- Solve to find the new y

- The new y = $f^{-1}(x)$

* <em>Lets use these steps to solve the problems</em>

∵ $f(x)=\sqrt{x-3}$

∵ f(x) = y

∴ $y=\sqrt{x-3}$

- Exchange x and y

∴ $x=\sqrt{y-3}$

- Square the two sides

∴ x² = y - 3

- Add 3 to both sides

∴ x² + 3 = y

- Change y by $f^{-1}(x)$

∴ $f^{-1}(x)=x^{2}+3$

∵ g(x) = x² + 3

∴ $f^{-1}(x)=g(x)$

∴ <u><em>The functions are inverses to each other</em></u>

* <em>Now lets find f(g(x))</em>

- To find f(g(x)) substitute x in f(x) by g(x)

∵ $f(x)=\sqrt{x-3}$

∵ g(x) = x² + 3

∴ $f(g(x))=\sqrt{(x^{2}+3)-3}=\sqrt{x^{2}+3-3}=\sqrt{x^{2}}=x$

∴ <u><em>f(g(x)) = x</em></u>

∴ The functions are inverses; f(g(x)) = x

* <em>Lets find the inverse of h(x)</em>

∵ h(x) = 3x² - 1 where x ≥ 0

- Let h(x) = y

∴ y = 3x² - 1

- Exchange x and y

∴ x = 3y² - 1

- Add 1 to both sides

∴ x + 1 = 3y²

- Divide both sides by 3

∴ $\frac{x + 1}{3}=y^{2}$

- Take √ for both sides

∴ ± $\sqrt{\frac{x+1}{3}}=y$

∵ x ≥ 0

∴ We will chose the positive value of the square root

∴ $\sqrt{\frac{x+1}{3}}=y$

- replace y by $h^{-1}(x)$

∴ $h^{-1}(x)=\sqrt{\frac{x+1}{3}}$

4 0

2 years ago