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Examine your selected object and the construction you made from 1.08. Which transformations (translations, reflections, or rotations) are present in the construction?

Use complete sentences to describe the transformations present in your construction.
** this should be a well thought out, descriptive, and accurate response.

Answer:

B. The graph of g(x) is the graph of f(x) shifted to the left '6' units

Step-by-step explanation:

Type of transformation                                   change to co-ordinate point

Vertical translation up 'd' units                          (x ,y) changes to (x , y+d)

Vertical translation down 'd' units                    (x ,y) changes to (x , y-d)

Horizontal translation left 'c' units                    (x ,y) changes to (x-c , y)

Horizontal translation Right 'c' units                  (x ,y) changes to (x+c , y)

Given f(x) translation left 'c' units                       f(x) changes to f(x-c)

Given f(x) translation right 'c' units                     f(x) changes to f(x+c)

Given  Function f(x) = 10 ˣ

The given graph  f(x) translation left '6' units

g(x) = f(x -6) = [tex]10^{x-6}[/tex]

Final answer:-

The graph of g(x) is the graph of f(x) shifted to the left '6' units

g(x) = f(x -6) = [tex]10^{x-6}[/tex]

Answer:

D. The graph of g(x) is the graph of f(x) shifted to the right 6 units.

Step-by-step explanation:

Use GeoGebra to graph those two function

f(x) = 10^x

g(x) = 10^(x-6)

Answer:

11

Step-by-step explanation:

33.45 ÷ 3 = 11.15 but round it

(im not 100% sure but I hope this helps)

Answer:

A) (16-9) =(4+3)(4-3)

Step-by-step explanation:

Explanation:-

Given the number = 7

The difference of two numbers  are 16-9 =7

The difference of squares  

                                        4² - 3²  = 7

We will use formula

                 a² - b² = (a-b) (a+b)

                  4² - 3² = (4 -3) (4+3)

                 16 -9 =  (4 -3) (4+3)

Final answer:-

The number 7 can be rewritten with the difference of squares identity

16 -9 =  (4 -3) (4+3)

Answer: 27 miles in 1 gallon

Step-by-step explanation:

297/11

The unit rate of 297 miles in 11 gallons will be 27 miles/gallons.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b, will be the denominator.

We will be used when division is not possible wholly

For example 4/2 is divisible so we write 2 instant of 4/2 while 1/3 is not divisible so we write 1/3 instant of 0.33.

Proportion is the relation of a variable with another. It could be direct or inverse.

The ratio is very useful to determine complex calculation where decimal number become tough to solve.

Given,

297 miles in 11 gallons

297 miles ⇔ 11 gallons

Divide by 11 on both sides

297/11 miles ⇔ 11/11 gallons

27 miles ⇔ 1 gallon

So, 27 miles in 1 gallon.

Hence unit rate is 27 miles/gallon will be correct.

For more information about ratio and proportion

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Answer:

Step-by-step explanation:

[tex]2y+18x=2x\left(x+9\right)\\Parabola\:standard\:equation\\4p\left(yk\right)=\left(xh\right)^2\:\mathrm{\:is\:the\:standard\:equation\:for\:an\:up-down\:facing\:parabola\:with\:vertex\:at}\:\left(h,\:k\right), \\\mathrm{and\:a\:focal\:length\:}\:|p|\\\mathrm{Rewrite}\:2y+18x=2x\left(x+9\right)\:\mathrm{in\:the\:standard\:form}\\2y+18x=2x\left(x+9\right)\\\mathrm{Rewrite\:as}\\2y=2x\left(x+9\right)-18x\\\mathrm{Divide\:by}\:2\\y=x^2\\\mathrm{Rewrite\:in\:standard\:form}[/tex][tex]4\cdot \frac{1}{4}\left(y-0\right)=\left(x-0\right)^2\\Therefore\:parabola\:properties\:are:\\\left(h,\:k\right)=\left(0,\:0\right),\:p=\frac{1}{4}[/tex]

Answer:

Subtract 58 from both sides

Step-by-step explanation:

Answer:

47°

Step-by-step explanation:

Since x and 133° are supplementary (meaning they add up to 180°), x + 133 = 180 so that means x = 47°.

Answer:

Step-by-step explanation:

45 - 25 = 20

65 - 45 = 20

as you can see the common difference between the 3 consecutive numbers 25 , 45 and 65 is a constant (20)

so ,we are in an arithmetic sequence case with :

Let’s label the sequence: Un

then

Un = U1 + (n-1)×r

    = 25 + (n-1)×20

    = 20n + 5

for n = 10 → U10 = 20(10) + 5 = 200 + 5 = 205

Answer:

1/9

Step-by-step explanation:

(27)^-2/3=(3^3)^-2/3= 3^(-2/3*3)= 3^-2= 1/3^2= 1/9

Answer:

=1/9

Step-by-step explanation:

Apply exponent rule:   a^-b=1/a^b

(27)^-2/3 = 1/(27)^2/3

Step-by-step method in attachment:

Answer:

Congruent angles

Step-by-step explanation:

Angle bisectors, divides the given angle into two equal parts

thus if value of angle is x then angle bisector will divide this angle into  parts

of equal value x/2 .

_______________________

complementary angles are two angles whose sum is 90 degrees.

since we do not the value of angle we cannot say with certainty that the angles are complementary

Congruent angles are angles who have the same angular measurement.

since, in above problem we have seen that angle bisector divides the angle in two equal parts.

hence angles are equal and thus they are congruent angle.

Congruent angles is the correct answer.

_______________________________________

vertical angles are angle opposite two one another when two line cross each other.

Since in the problem line is not intersecting each other thus, angles do not qualify to be vertical angles

Supplementary angles are two angles whose sum is 180 degrees.

since we do not the value of angle we cannot say with certainty that the angles are Supplementary.

Hence correct option is Congruent angles

Answer:

congruent angles

Step-by-step explanation:

Answer: a

Step-by-step explanation:

Answer:

121

Step-by-step explanation:

The exterior angle  measurement is equal to the sum of the opposite interior angles

34+ 87 = z

121 = z

Answer:

Its B

Step-by-step explanation:

the y interceot is +10 so it is positie 10 and the slope is -4 so it is negative 4

Answer:

B

Step-by-step explanation:

Answer:-2

Step-by-step explanation:

Answer:

The function has a hole when x = 0 and a vertical asymptote when x = 4.

Step-by-step explanation:

The function has a hole when x = 0 and a vertical asymptote when x=4. Therefore, option D is the correct answer.

The coordinates from the given table (-0.2, -0.238), (-0.1, -0.244), (0.1, -0.256), (0.2, -0.263), (3.7, -3.3) (3.8, -5), (3.9, -10), (3.99, -100) and (4.01, 100).

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

From the table, we have:

f(0) = undefined

f(4) = undefined

One of these values (the lesser value of x i.e. x = 0) is a hole, while the other is a vertical asymptote

Using the above as a guide, the correct statement is the function has a hole when x = 0 and a vertical asymptote when x = 4.

The function has a hole when x = 0 and a vertical asymptote when x=4. Therefore, option D is the correct answer.

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Answer:

15 meters per second is equivalent to 54 kilometres per hour.

Answer:

15 meters per second

Step-by-step explanation:

Answer:

Right

Step-by-step explanation:

when a triangle has a 90 degree angle it is always right

Answer:

right angle triangle

Step-by-step explanation:

Answer:

What’s the probability of choosing a tutti fruitti and a cherry jelly bean?

What’s the probability of choosing a watermelon, replacing it, then choosing a buttered popcorn?

Step-by-step explanation:

Answer:

[tex]24\frac{4}{15}\\\mathrm{Decimal:\quad }\:24.26666\\=24.27m^2[/tex]

Step-by-step explanation:

Area of right triangle formula is

[tex]A=\frac{ab}{2} \\\frac{5\frac{3}{5}\cdot \:8\frac{2}{3}}{2}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 5\frac{3}{5}=\frac{28}{5}\\\frac{\frac{28}{5}\cdot \:8\frac{2}{3}}{2}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 8\frac{2}{3}=\frac{26}{3}\\\frac{\frac{28}{5}\cdot \frac{26}{3}}{2}\\\mathrm{Multiply\:}\frac{28}{5}\cdot \frac{26}{3}\::\quad \frac{728}{15}\\=\frac{\frac{728}{15}}{2}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{b}{c}}{a}=\frac{b}{c\:\cdot \:a}\\=\frac{728}{15\cdot \:2}\\\mathrm{Multiply\:the\:numbers:}\:15\cdot \:2=30\\=\frac{728}{30}\\\mathrm{Cancel\:the\:common\:factor:}\:2\\=\frac{364}{15}\\\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\quad \frac{364}{15}=24\frac{4}{15}\\=24\frac{4}{15}\\\mathrm{Decimal:\quad }\:24.26666[/tex]

Answer:

Step-by-step explanation:

The general formula for this sequence is a(n) = a(1)*(-1/4)^(n - 1).  We don't yet know a(1).

If a(3) = 128, then 128 = a(1)*(-1/4)^(3 - 1), or

128 = a(1)*(1/16)

and so a(1) = 128/16

resulting in the specific formua a(n) = 8(-1/4)^(n - 1)

Now let's find a(7):

a(7) = 8(-1/4)^1 * (-1/4)^(6)

or

a(7) = 8(-1/4)^7

Answer:

x=1

Step-by-step explanation:

First, you shift the -2 to the other side. Your new equation is 2^2x -2^x=2. Then, you continue to solve and simplify the equation. Your final answer will be x=1.

Answer:

C

Step-by-step explanation:

By observation, we can see very clearly that NR and QS are neither parallel nor perpendicular. Hence we can ignore A and B.

We notice that VT and VU are the same length.

Hence we can conclude that NR and QS must also be the same length (i.e they are congruent)

Therefore C is the answer.

Answer:

first 0ne

Step-by-step explanation:

yo hice el examen y la tuve mal pero me dijo cual era la correcta y es (30,38)

I do the exam and I heve it wrong but the exam put what was the correct answer and it is (30,38)

option B

Equation of Linear Regression line is

y=1.14 x + 3.805

so, (30,38)  is an approximate extrapolation for x = 30 from the line of best fit.

A line of regression is that line which passes through none of the points, few points or all the points in the two dimensional coordinate plane.It tells value of one variable when another variable is known.

here, we have,

A line of best fit is drawn for the set of points shown on the graph.

from the given information,

we get,

for, x=30

y=1.14 × 30 +3.805

y=34.20 +3.805

y=38.005

y=38 (approx)

Equation of Linear Regression line is

y=1.14 x + 3.805

so, (30,38)  is an approximate extrapolation for x = 30 from the line of best fit.

So, Ordered pair is , (30,38)

Option B

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Answer:

C)20

Step-by-step explanation:

Cuz 160/8 is 20

Answer:

True

Step-by-step explanation:

A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

Answer:

True bc both paired of opposite sides are parallel

Step-by-step explanation:

Hope this helps

Correct me if this is wrong

Answer:

15 cm

Step-by-step explanation:

If we have two sides of a parallelogram in the ratio 5:4, then the other two sides must also be in the same ratio.

If the perimeter is 54, we can create the following equation regarding the length of each side

[tex]5x+4x+5x+4x=54\\\\18x=54\\\\x=3[/tex]

As our value for x is 3, and we know that the value for the larger side is 5x, we can simply plug in x to get the length of the larger side

[tex]5x\\\\5(3)\\\\15[/tex]

Answer:

Step-by-step explanation:

a, as the x axis increases, so does the y axis

b, temperature outside v ice cream sales

hours studied v grade on test

c, I cannot do for you, but i can tell you how. Draw a straight line that you feel is an accurate representation of the graph. Then find the slope and write an equation

Answer:

Yes

because they both face the same direction

and they triangle in shape

Answer:

x = -2[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

First we have to distinguish the numbers with x from the "normal" numbers.

2x and 6x are numbers with x.

3 and 0 are "normal" numbers.

Now we have to seperate them on different sides of the equal sign.

To do this, we can subtract 3 from the left side and then add it to 0 on the left side.

Therefore, the equation will now be 2x + 6x = -3.

Now we can add 2x and 6x together, making it 8x.

The equation will now be 8x = -3.

To find the product of x, we need to divide both sides together.

So 8 divided by -3 will make -2[tex]\frac{2}{3}[/tex].

Therefore, x is  -2[tex]\frac{2}{3}[/tex].

Hope my explination makes sense :)