Does the table show growth or decay?

Answer:

The vertex of g(x) is (-4, -2)

Step-by-step explanation:

Let's define general translations:

Vertical translation:

For a function f(x), a vertical translation of N units (So the whole graph of f(x) is translated N units in a given direction) is defined as:

g(x) = f(x) + N

such that:

If N is positive, the translation is upwards

if N is negative, the translation is downwards.

Horizontal translation:

Similar than before, for a function f(x) a horizontal translation of N units is written as:

g(x) = f(x + N)

Where, if N is positive, the translation is to the left

If N is negative, the translation is to the right.

Here, we have the transformation:

g(x) = f(x - 2) - 5

This is a transformation that moves the whole graph of f(x):

2 units to the right

5 units downwards.

So, if a point like (x, y) was in the graph of f(x)

After the translation, that point will be (x + 2, y - 5)

Then, if the original vertex was (-6, 3), the new vertex will be:

(-6 + 2, 3 - 5)

(-4, -2)

The vertex of g(x) is (-4, -2)

Answer:

[tex]C. a = 118^o; b = 49^o; c = 144^o; d = 98^o[/tex]

Step-by-step explanation:

[tex]a=2(59)\\\\a=118^o[/tex]

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

[tex]b=180-(59+72)\\\\b=180-131=\\\\b=49^o[/tex]

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

[tex]C=2(72)\\\\C=144^o[/tex]

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

[tex]d=2b\\\\d=2(49)\\\\d=98^o[/tex]

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

hope it helps...

have a great day!!

Answer:

'y' would be 24

'x' would be 12[tex]\sqrt{3}[/tex]

Step-by-step explanation:

the ratio of sides in a 30-60-90 triangle is, respectively, 1 : [tex]\sqrt{3}[/tex] : 2

so the side across from the 60 degree angle is [tex]\sqrt{3}[/tex] times the side of the 30°

the side across from the 90 degree angle is double the side of the 30°

so in this problem 'y' would be 24 and 'x' would be 12[tex]\sqrt{3}[/tex]

Answer:

Step-by-step explanation:

take 30 degree as reference angle

using sin rule

sin 30=opposite/hypotenuse

1/2=12/y(do cross multiplication?

12*2=y

24=y

for x

using pythagoras theorem

H^2=P^2+B^2

24^2=12^2+B^2

576=144+B^2

576-144=B^2

432=B^2

[tex]\sqrt{432}[/tex]=B

12[tex]\sqrt{3}[/tex]=B

12[tex]\sqrt{3}[/tex]=X1

Answer:

See below...

Step-by-step explanation:

Zeros of the function:  [tex]f(x)=(x-8)(x+2)[/tex]

    The zeros are 8 and -2

The coordinates of the vertex:  [tex]f(x)=(x-3)^2-25[/tex]

     The vertex is the point (3, -25)

The y-intercept:  [tex]f(x)=x^2-6x-16[/tex]

     The y-intercept is -16

The axis of symmetry:  [tex]f(x)=(x-3)^2-25[/tex]

     The axis of symmetry is x = 3  (it goes through the vertex)

Answer:

B

Step-by-step explanation:

answer:

b

step-by-step explanation:

The sum of three consecutive number is 63, hence the number is 20.

An equation is an expression that shows the relationship between two numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

Let x represent the number. The sum of three consecutive number is 63, hence:

x + (x + 1) + (x + 2) = 63

x = 20

The sum of three consecutive number is 63, hence the number is 20.

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Step-by-step explanation:

vol of 1st cuboid,

=lxbxh

=4cm×6cm×1cm

=24cm³

vol of 2nd cuboid

= lxbxh

=6cm×3cm×1cm

=18cm³

vol of figure=18cm³+24cm³

= 42cm³

Step-by-step explanation:

distance covered by car each hour=50km

distance covered by car in four hours =4×50

200km for four hours

Just multiply 50km times 4

Answer:

t = 3.46 hours, or 3 hours 28 minutes

Step-by-step explanation:

78 dozen donuts in 2 hours immediately reduces to 39 dozen/hour.

Donuts produced as a function of time:   D(t), where t is the number of hours the macine runs.

Set D(t) = 135 dozen = (39 dozen/hr)t.

Solving this equation for t, we get:

t = 135/39 hours, or t = 3.46 hours, or 3 hours 28 minutes

Answer:

Yes, he has enough pieces to wrap the present

Step-by-step explanation:

Given

[tex]Presents = 7[/tex]

[tex]Cuts = 6[/tex]

Required

Is there enough pieces to wrap all presents

As a general rule;

When a piece is cut in 1 place, you get 2 pieces

When a piece is cut in 2 places, you get 3 pieces

When a piece is cut in 3 place, you get 4 pieces

This implies that:

n cuts gives n + 1 pieces

i.e.

[tex]n \to n + 1[/tex]

So, we have:

[tex]6\ cuts \to (6 + 1) pieces[/tex]

[tex]6\ cuts \to 7\ pieces[/tex]

Hence, there are enough pieces.

Answer:

Step-by-step explanation:

A=lw

Answer:

A = bh

Step-by-step explanation:

you multiply the base length by the height length.

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Answer:

20/29

Step-by-step explanation:

I hope that this 3 will help you understand easily.

Answer: C. 13.5

Step-by-step explanation:

9x3= 27

27 divided by 2= 13.5

The formula for the area of a triangle is: A = 1/2 * b * h

In this problem, we are given the base (9 ft) and the height (3 ft). Therefore, we can use the formula.

A = 1/2 * 9 * 3

A = 1/2 * 27

A = 13.5 ft^2

Hope this helps!! :)

Answer:

D. y = –3x2

Step-by-step explanation:

Answer:

y = -3x^2

Step-by-step explanation:

A quadratic function has a leading coefficient which determines its width. When |a| < 1 the graph is wider. When |a| > 1 the graph is narrower. This means y = -3x^2 is the narrowest graph since 3 is the greatest.

Answer:

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

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Answer:

D, E, F

Step-by-step explanation:

Answer:

D and F

Step-by-step explanation:

a parallelogram is a quadrilateral with two sets of parallel sides

a quadrilateral is a shape with 4 edges

Answer: [tex]12\ \text{min}[/tex]

Step-by-step explanation:

Given

It takes 20 min and 30 min for  a person and his friend to paint a wall individually  i.e.

In 1 min they cover [tex]\frac{1}{20}[/tex] part and [tex]\frac{1}{30}[/tex] part of wall respectively.

If the work together, 1 minute work is

[tex]\Rightarrow \dfrac{1}{20}+\dfrac{1}{30}\\\\\Rightarrow \dfrac{3+2}{60}\\\\\Rightarrow \dfrac{5}{60}[/tex]

Time required will be reciprocal of it

[tex]\Rightarrow \dfrac{60}{5}=12\ \text{min}[/tex]

where is the graph ?

Answer:

13 degrees

Step-by-step explanation:

Triangles have to equal to 180 degrees

Answer:

[tex]180 = 154 + 13 + x[/tex]

Step-by-step explanation:

180= 154° + 13° + X

X = 180° - 154°- 13°

X = 13°

The its an ISOCELES triangle

Answer: 6 peppers per slice

Step-by-step explanation:

First we subtract, 27-3= 24

now every single slice has an equal amount of peppers.

24/4=6

Answer:

375

Step-by-step explanation:

250+2/poster=1000

2/poster=750

poster =375

check answer

250+2(375)=1000

250+750=1000

1000=1000

Answer:

The answer is D

Step-by-step explanation:

If and Then are italicized

Answer:

Below.

Step-by-step explanation:

1) 245.

2) Approximate slope =  -(245-200)/15 = -3.

The y intercept is 250 and the slope is -10/3.

The equation of a line is linear in two variables, usually x and y, that is satisfied by points of the line.

We have the following ordered pairs in the line given:

(0, 250) and (30, 150)

Calculating the slope:

m = 150 - 250/ 30 - 0

m = -100/30

m = -10/3

Therefore, the slope is -10/3

Finding the y-intercept:

The equation of a line has the form:

y = mx + b, where m is the slope

Replacing by the values we know:

150 = -10/3 * 30 + b

b = 150 + 100

b = 250

Therefore, the y intercept is 250.

Hence the y intercept is 250 and the slope is -10/3.

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Answer: 58 books

Step-by-step explanation:

There are 35 English books on the shelf and this constitutes 60% of the total number of books on the shelf.

Denoting the total number as x, the total number is:

35 = 60% * x

x = 35 / 60%

= 58 books

Answer:

total no. of rows in garden= 345 each row contains= 48 flowers

total no. of flowers in the garden= 345*48=16560

Answer:

16,560

Step-by-step explanation:

No of rows = 345

No. of flowers in each row = 48

Estimated no of flowers in the garden

= No of rows * No of flowers in each row

= 345*48

= 16,560

Answer:

326.56 sq in

Step-by-step explanation:

SA=2*3.14*4^2+2*3.14*4*9

SA= 100.48+ 226.08

SA= 326.56

Plug numbers in equation and then solve equation. R=4 and h=9.

Answer:where is the question

Step-by-step explanation:

Step-by-step explanation:

Given that,

Directrix, d= -5, and eccentricity, e = 2.

The polar equation of the conic is given by :

[tex]r=\dfrac{ed}{1-e\cos\theta}[/tex]

Put all the values,

[tex]r=\dfrac{-5\times 2}{1-2\cos\theta}\\\\=\dfrac{-10}{1-2\cos\theta}[/tex]

As e>1, it is a hyperbola. Hence, this is the required solution.