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3 years ago

Describe the transformation in g(x) = −3(x) as it relates to the graph of the parent function.

1 answer:

4 0

Dilation and reflection
-multiplication of - =reflection
example -(x)
-multiplication of any number other than 1=dilation
example 3x
-addition/subtraction inside the function=horizontal translation
Example (x-3)
-addition/subtraction outside the function=vertical translation
Example x-3

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The ratio of Naomi's pencils to Morgan's pencils is 3:4. If Morgan has 16 pencils, how many pencils do they have altogether?

pogonyaev

The answer would be 30 they have 30 pencils altogether. If the ratio is 3:4 and morgan has 16 pencils that means it was simplified by 4 . so if you times 3 times 4 then add 16 you will get the over all question

6 0

4 years ago

Solve for the missing side of the triangle. 9.03 11.98 18.78 24.92

Hunter-Best [27]

Answer:

11.98

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin 53 = x/15

15 sin 53 = x

11.97953265 = x

8 0

4 years ago

What is the LCD of <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D" id="TexFormula1" title="\frac{2}{5}" alt="\frac{2}{5

dezoksy [38]

LCD of denominators.

Multiples of 5: 0, 5, 10, 15, 20, 25, ...

Multiples of 10: 0, 10, 20, 30, 40, ...

LCD(5, 10) = 10

$\dfrac{2}{5}=\dfrac{2\cdot2}{5\cdot2}=\dfrac{4}{10}$

$\dfrac{7}{10}=\dfrac{7}{10}$

4 0

3 years ago

Please help!!!! The roots of x^2-2x-2=0 are A.1+square root of 3 B.1+square root of 12 or C.No real roots

den301095 [7]

Answer:

Step-by-step explanation:

We have the equation:

$x^2-2x-2=0$

We can use the quadratic formula. In this case, a = 1, b = -2, and c = -2. Hence:

$\displaystyle x=\frac{-(-2)\pm\sqrt{(-2)^2-4(1)(-2)}}{2(1)}$

Evaluate:

$\displaystyle x=\frac{2\pm\sqrt{12}}{2}$

Simplify:

$\sqrt{12}=\sqrt{4}\cdot\sqrt{3}=2\sqrt{3}$

Hence:

$\displaystyle x=\frac{2\pm2\sqrt{3}}{2}$

Divide:

$x=1\pm\sqrt3$

The correct answer is A.

3 0

3 years ago

Tell me what each angle is in the following triangle: angle 1 is 8x, angle 2 is 2x+3, angle 3: 30 degrees. give me the two answe

9966 [12]

Answer: 117.6° ; 32.4° .
_________________________
Explanation:
_______________________________________________________
Note: ALL triangles, by definition, have exactly 3 (THREE) sides and exactly 3 (THREE) angles.
_____________________
We are given the following:
_______________________
We have a triangle.

Angle 1: m∡1 = (8x) ;

Angle 2: m∡2 = (2x + 3) ;

Angle 3: m∡3 = 30.
______________________________________
We are asked to find: "m∡1" and " m∡2" .
______________________________________
Note: In ALL TRIANGLES, the measurements of all THREE (3) angles ALWAYS add up to 180 degrees.
________________________________________
So, " m∡1 + m∡2 + m∡3 = 180 " .
________________________________________
Let us substitute our given values for the measurements in EACH of
the THREE (3) angles — on the left-hand side of the equation; then solve for "x" ; then substitute that solved value for "x" into the given expressions for BOTH "m∡1" AND "m∡2" ; to find the values for " m∡1" AND " m∡2 " ; which are the values asked for in this very question ;
___________________________________________

 m∡1 + m∡2 + m∡3 = 180 ;
___________________________________________
8x + (2x + 3) + 30 = 180 ;
___________________________________________
8x + 2x + 3 + 30 = 180 ;
___________________________________________
Combine the "like terms" on the 'left-hand side" of the equation; to simplify:
____________________________________________________________
+8x + 2x = +10x ;
___________________________________________
+3 + 30 = +33 ;
___________________________________________
Rewrite the entire equation, as:
___________________________________________
10x + 33 = 180 ;
___________________________________________
Now, subtract "33" from EACH SIDE of the equation:
___________________________________________
10x + 33 − 33 = 180 − 33 ;
___________________________________________
to get:
___________________________________________
10x = 147 ;
____________________________________________
Now, divide EACH side of the equation by "10" ; to isolate "x" on ONE SIDE of the equation; and to solve for "x" :
____________________________________________
10x / 10 = 147 / 10 ;
____________________________________________
to get:
____________________________________________
x = 14.7 ;
___________________________________________
Now, given the following, we plug in our solved value, "14.7", for "x", into the expression given for "m∡1" and "m∡2"; as follows:
________________________________________________

Angle 1: "(8x)" = 8*(14.7) = 117.6° ;
________________________________________________
Angle 2: "2x + 3" = 2*(14.7) + 3 = 29.4 + 3 = 32.4° ;
________________________________________________
These are the two answers; that is the 2 (TWO) values asked for in the question: 117.6° ; 32.4° .
____________________________________
Do they make sense? That is, do the measurements of ALL 3 (THREE) angles; that is, our two solved measurements added together, and then added to the value of the third angle (given: "m∡3 = 30°); all add up to 180° ?
___________________________________________
Let us check:
_______________________________
m∡1 + m∡2 + m∡3 = 180 ;
_______________________________
Plugging in our solved values for "m∡1" and "m∡2" ; and our given value: "30" — for "m∡3 — does the equation hold true?
______________________________________________
→ 117.6 + 32.4 + 30 = ? 180 ??
______________________________________________
→ 117.6 + 32.4 = 150 ; → 150 + 30 =? 180 ? Yes!
______________________________________________

4 0

4 years ago