One year, the population of a city was 99,000. Several years later it was 82,170. Find the percent decrease.

Answer:

For a function f(x), the y-intercept is the value of f(0), while the x-intercepts are the values of x such that:

f(x) = 0.

Here we can also start with some information about dilations.

For a function f(x), a vertical dilation of scale factor k is written as:

g(x) = k*f(x)

While, again, for a function f(x), an horizontal dilation of scale factor k is written as:

g(x) = f(x/k)

So when here they ask us the difference between f(2x) and 2f(x)

We can say that the first one is a horizontal dilation of scale factor 1/2, while the second is a vertical dilation of scale factor 2.

Now let's analyze the intercepts for each case.

if f(x) = |x + 2| - 3

2*f(x) = 2*(|x + 2| - 3)

        = 2*|x + 2| - 6

The y-intercept is:

2*f(0) = 2*|0 + 2| - 6 = 4 - 6 = -2

and the x-intercepts are given by:

2*f(x) = 0 = 2*|x + 2| - 6

           6 = 2*|x + 2|

         6/2 = |x + 2|

           3 = |x + 2|

Here we have two solutions for x,

x = 1:             3 = |1 + 2| = |3| = 3

x = -5:           3 = |-5 + 2| = |-3| = 3

Now for the other transformation, we have:

f(2*x) = |2*x + 2| - 3

the y-intercept is:

f(2*0) = |2*0 + 2| - 3

         = |2| - 3 = -1

(So the y-intercept is different)

And the x-intercepts are given by:

f(2*x) = 0 =  |2*x + 2| - 3

           3 = |2*x + 2|

           3 = 2*|x + 1|

           3/2 = |x + 1|

Here the two solutions are:

x = 1/2

x = -5/2

So the x-intercepts are also differents.

This happens because in one case, we affect the function horizontally and in the other case vertically, so one could expect that the resulting functions are different (thus, have different intercepts)

Answer:

y = 1x - 4

Step-by-step explanation:

y2 - y1 / x2 - x1

0 - 4 / 4 - 8

-4 / -4

1

y = 1x + b

0 = 1(4) + b

0 = 4 + b

-4 = b

Answer:

$34.04

Step-by-step explanation:

The dimensions of a slab is 11 feet by 11 feet by 2 inches or 3.67 yards, 3.67 yards and 0.055 yards

We need to find the cost to pour a slab.

We know that the volume of a cuboid shape is given by :

V = lbh

Put all the values,

V = 3.67 × 3.67 × 0.055

V = 0.74 yards³

Cost,

C = $46 × 0.74

C = $34.04

Hence, the required cost is equal to $34.04.

Answer:

(x+2)(3x-1)

Step-by-step explanation:

3x^2 + 5x -2

we need two numbers which gives 6 when multiplied and 5 when subtracted.

so the numbers are 6 and 1 because 6*1=6 and 6-1 =5.S0,

3x^2 + (6-1)x -2

3x^2 +6x -x -2

take common from first two terms and from third and fourth term

3x(x+2) -1(x+2)

take (x+2) as common

(x+2)(3x*1 -1*1)

(x+2)(3x-1)

Answer:

12345678901234567890

Answer:

80degrees

Step-by-step explanation:

Using the expression to get the minor arc;

minor arc + major arc = 360degrees

minor arc + 260 = 360

minor arc = 360 - 260

minor arc = 100degrees (central angle)

Note that the central angle and that formed from the intersection of the tangents (X) are supplementary. Hence;

100 + X = 180

X = 180 - 100

X = 80degrees

Answer:

-24

Step-by-step explanation:

(-6)(4)

The indicated operation is multiplication

-24

Answer:

-24

Step-by-step explanation:

Multiply -6 and 4

Answer:

x = 2

Step-by-step explanation:

In a vertical line, all x-coordinates are the same.

x = 2

Answer:

x =2

Step-by-step explanation:

A vertical line means the x value remains constant

The x value is 2

x =2

Answer:

A is the answer

Step-by-step explain

Answer:

Hello There!!

Step-by-step explanation:

I believe the answer is O A.4.8 and 16.

hope this helps,have a great day!!

~Pinky~

Answer:

there is 8 quadrilateral shapes

Answer:

4(x^2 +4x-1)

Step-by-step explanation:

4x^2+16x-4

Factor out a 4

4(x^2 +4x-1)

Answer:

D. 4 ( x² + 4 x - 1 )

Step-by-step explanation:

4 x ² + 16 x - 4

Taking out common factor = 4

4 ( x² + 4 x - 1 )

Answer:

The length of board required is 13 feet 6 inches .

Step-by-step explanation:

Board required to make one bird house = 2 feet 3 inches

= 2 x 12 + 3 = 27 inches

Number of bird houses = 6

So, the board required  

= 6 x 27 = 162 inches

13.5 feet = 13 feet 6 inches

Answer:

Haha sure mate! Its 116 :) Your thing is wrong but I would select 106 because it seems like a more reasonable mistake

Step-by-step explanation:

Give me braiest answer if I saved you a whooping

Answer:

The answer to your question is 244 degrees

Step-by-step explanation:

Simply add 60, 90, 82, and 12 to get 244 degrees.

Answer:

(-5 , -3)

Step-by-step explanation:

use formula of 90 degree counterclockwise rotation about the origin

formula:

(x , y) = (-y , x)

(-3 , 5) = (-5 , -3)

The required coordinate of the point after 90° clockwise rotation is (-5, -3).

A shape or item is rotated when it is spun around a certain point (center) without being moved in any other way. Size and shape are unaffected by rotation.

The given coordinate of the point is (-5, -3).

Counterclockwise rotation about the origin is given as,

(x , y) = (-y , x)

(-3, 5) = (-5 , -3)

Thus, the required coordinate of the point after 90° clockwise rotation is (-5, -3).

Learn more about rotation here:
https://brainly.com/question/1571997
#SPJ2

Answer:

Integer = 362

Step-by-step explanation:

Let the two integers be x and y

Sum of two integers, x + y = 310 ------(1)

Given one of the integer, Let x = -52

Substitute x = -52 in (1) ,

                                      -52 + y = 310

                                              y = 310 + 52

                                              y = 362

Answer:

The area of the quadrilateral is 1,182.46 m2.

Step-by-step explanation:

In order to find the area of a quadrilateral WXYZ, with WX=24m, XY=50m, YZ=40m, ZW=30m and the diagonal being 50m, the following calculation has to be done:

X = 0,5 24 × 30 × sen 24 + 0,5 × 50 × 40 × sen 40

X = 1,182.46 m2

Answer:

a) 20 km away fro the starting point.

b) The bearing from P to R is 80°.

c) Q is 60 km North P.

d) Q is - 60 km west of P

Step-by-step explanation:

Stating Facts in the Question:

P to Q is 80 km and bearing 330°

It turned around, Q to R is 60 km and bearing 250°.

a) Picture a number line (Look at the first image)

You go 80 to the right. You turn around and go 60 to the left.

80 - 60 = 20

20 km away fro the starting point

b) Picture a number line (Look at the second image)

P to Q is bearing 330°

Q to R is 60 km is bearing 250°

P to Q is red

Q to R is blue

330° - 250° = 80°

The bearing from P to R is 80°

c) P to Q is 60 km

The plane went forward or North so the answer is 60 km.

Q is 60 km North P.

d) Q to P is 60 km

Q is not to the west of P

Q is - 60 km west of P

Answer:

y = 3/2 x - 9/4

Step-by-step explanation:

bring all the y's to one side.

4y = 6x-9

divide by 4 to isolate the y

y = 6/4x - 9/4

simplify

y = 3/2 x - 9/4

Answer:

y = (3/2)x - 9/4

Step-by-step explanation:

Slope intercept form is

y = mx + b

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

6x - 4y = 9

subtract 6x from both sides

-4y = -6x + 9

Divide both sides by -4

y = (3/2)x - 9/4

Answer:

(x + 2)(2x + 5)

Step-by-step explanation:

2x^2 + 9x + 10 =

This is a trinomial of the form ax^2 + bx + c, where a is not 1.

Step 1: Try to factor out a common factor.

In this case, there is no common factor in all terms.

We will now factor by grouping.

Step 2. Find the product ac.

ac = 2 * 10 = 20

Step 3. Find two factors of ac whose product is ac and whose sum is b.

In this case, we need two numbers whose product is 20 and whose sum is 9.

Those numbers are 4 and 5.

Step 4. Break up the middle term using the two numbers we just found.

9x becomes 4x + 5x

Now we have

= 2x^2 + 4x + 5x + 10

Step 5. Factor by grouping. Factor a common factor out of the first two terms. Factor a common factor out of the last two terms.

= 2x(x + 2) + 5(x + 2)

Finally, factor out the common factor, x + 2.

= (x + 2)(2x + 5)

Answer: (x + 2)(2x + 5)

Answer:

the probability of getting red marbles=

4/8=1/2

Step-by-step explanation:

Answer: 7.7 years

Step-by-step explanation:

Given

The cost of HD TV is $700 and it is decreasing at the rate of 15% per year

After one year it becomes

[tex]\Rightarrow 700-700\times 15\%\\\Rightarrow 700(1-0.15)[/tex]

after 2 year it becomes

[tex]\Rightarrow 700(1-0.15)-700(1-0.15)\times 15\%\\\Rightarrow 700(1-0.15)(1-0.15)\\\Rightarrow 700(1-0.15)^2[/tex]

Suppose, after x years it becomes $200

[tex]\Rightarrow 200=700(1-0.15)^x\\\\\Rightarrow \dfrac{2}{7}=0.85^x\\\\\text{Taking log both sides}\\\\\Rightarrow x=\dfrac{\ln (\frac{2}{7})}{\ln (0.85)}\\\\\Rightarrow x=7.7\ \text{years}[/tex]

Thus, it takes 7.7 years for the cost to come under $200.

Answer:

n = 3p

Step-by-step explanation:

3n−5p+2n=10p

5n−5p+5p=10p+5p

5n=15p

5n/5 = 15p/5

n = 3p

Answer:

3n+2n=10p+5p

5n=15p

Divide both sides by 5

n=3p

Answer:

Boki tego trójkąta mają 6 cm.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

1/13 = 0.07692307692307

1/13 has a 6 place repeating decimal

076923   076923

2021/6 = 336 5/6

There will be 336 complete sets and then

2021 will be the 5th place of 076923

Answer:

the answer to your first question is 235 degrees or B

the answer to your second question is 83 degrees

Step-by-step explanation:

for the first question simply add all of the angles

for the second question a straight line/angle is 180 degrees so simply subtract 97 from 180 to get 83 degrees

Answer:

85.7 ounces.

Step-by-step explanation:

428.5/5 = 85.7

Therefore, Ms. Emily put 85.7 ounces of pretzels into each bowl.

Answer:

85.7 ounces

Step-by-step explanation:

428.5 ounces ÷ 5=85.7 ounces