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3 years ago

Danna's age is 6 years less than 8 times Tessa's age. If Tessa's age is x years, which expression best shows Danna's age?

Mathematics

2 answers:

KonstantinChe [14]3 years ago

8 0

The correct equation is

8x-6

Hope this helps! Comment if you have questions on how I got it! :)

Marat540 [252]3 years ago

3 0

6 - 8x is the correct answer

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Find the difference quotient <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%20%2B%20h%29%20-%20f%28x%29%7D%7Bh%7D" id="TexFor

AlladinOne [14]

Answer:

$-2x - h - 3$

Step-by-step explanation:

Step 1: Define

Difference Quotient: $\frac{f(x+h)-f(x)}{h}$

f(x) = -x² - 3x + 1

f(x + h) means that x = (x + h)

f(x) is just the normal function

Step 2: Find difference quotient

Substitute: $\frac{[-(x+h)^2-3(x+h)+1]-(-x^2-3x+1)}{h}$
Expand and Distribute: $\frac{[-(x^2+2hx+h^2)-3x-3h+1]+x^2+3x-1}{h}$
Distribute: $\frac{-x^2-2hx-h^2-3x-3h+1+x^2+3x-1}{h}$
Combine like terms: $\frac{-2hx-h^2-3h}{h}$
Factor out h: $\frac{h(-2x-h-3)}{h}$
Simplify: $-2x - h - 3$

8 0

3 years ago

Read 2 more answers

HURRY! Point H is the circumcenter of triangle JKL. Which must be true?

pav-90 [236]

A circumcentre is the centre of the circumcircle.
The circumcircle of a triangle is the circle that passes through all three vertices.

Since all radii of a given circle are equal, we see that all the distances from H (circumcentre) to the vertices of the triangle are equal, namely
JH=KH=LH
Only one of the above answer choices is true.

7 0

4 years ago

At Hogwarts School of Witchcraft and Wizardry, Professor Snape was concerned about grade inflation, and suggested that the schoo

ExtremeBDS [4]

Answers:

The z scores are approximately:

Care of Magical Creatures: z = 0.333
Defense Against the Dark Arts: z = 0.583
Transfiguration: z = -0.263
Potions: z = -0.533

From those scores, we can say:

Best grade = Defense Against the Dark Arts
Worst grade = Potions

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

Further Explanation:

We'll need to convert each given score to a corresponding standardized z score.

The formula to use is

z = (x - mu)/sigma

where,

x = given grade for each class
mu = mean
sigma = standard deviation

Let's find the z score for the Care of Magical Creatures class

z = (x - mu)/sigma

z = (3.80 - 3.75)/(0.15)

z = 0.333 approximately

Repeat this process for the Defense Against the Dark Arts score.

z = (x - mu)/sigma

z = (3.60 - 3.25)/(0.60)

z = 0.583 approximately

And for the Transfiguration class as well

z = (x - mu)/sigma

z = (3.10 - 3.20)/(0.38)

z = -0.263 approximately

The negative z score means his grade below the average, whereas earlier the other scores were above the average since he got positive z scores.

Now do the final class (Potions) to get this z score

z = (x - mu)/sigma

z = (2.50 - 2.90)/(0.75)

z = -0.533 approximately

This grade is below average as well.

----------------------------

To summarize, we have these z scores

Care of Magical Creatures: z = 0.333
Defense Against the Dark Arts: z = 0.583
Transfiguration: z = -0.263
Potions: z = -0.533

Harry did his best in Defense Against the Dark Arts because the z score of 0.583 (approximate) is the largest of the four z scores. On the other hand, his worst grade is in Potions because -0.533 is the lowest z score.

3 0

2 years ago

Help I really don’t understand this

MAXImum [283]

Let x=3.77777777...
10x=37.777777777...
9x=10x-x=34
9x=34 so x=34/9=3 7/9

3 0

3 years ago

Sketch the graph of each line y=-9x-5

ycow [4]

I can’t answer it without a picture of the graph

5 0

3 years ago