Algebra Parent Functions Graph

Answer:

Step-by-step explanation:

340-243 =97

97/6 = 16

16 weeks to lose 6 pounds per week.

Answer:

Let's think.

If we want the man to be in the best case scenario in which he loses the most pounds that his limit lets him, we should always make the man lose the highest he could go: 6 pounds.

This is just a simple multi step problem if you break it down.

If his goal is to get to 243 pounds, we firstly subtract 243 from 340 to see how much he needs to lose.

340 - 243 = 97

The man wants to lose 97 pounds.

Let's divide this number by 6 with remainder.

I'll let you think for a bit.

97 / 6 = 16 remainder 1.

This means that in 16 weeks, he needs to lose 6 pounds while on the 17th week, he needs to lose 1 pound.

I'm sorry if i misunderstood.

Good luck Mate :)

Don't forget to try everyday !

Answer:  [tex]-56\cdot 25\cdot 4 = -5600[/tex] .

Step-by-step explanation:

Associative property of multiplication : We can group numbers to multiply in any order like

[tex]p\times (q \times r) = (p\times q )\times r = p\times q\times r[/tex], where p , q and r can be any expression.

The given expression : [tex]-56\cdot 25\cdot 4[/tex]

By using associative property of multiplication, we have

[tex]-56\cdot(25\cdot 4)\\\\= -56\cdot 100\\\\=-5600[/tex]

Hence, [tex]-56\cdot 25\cdot 4 = -5600[/tex] .

Answer:

Step-by-step explanation:

Given AC = 23, AB = 2x + 2 and BC = 3x+6 then using vector notation;

BA+AC = BC

Since BA = -AB

The equation becomes -AB+AC = BC

Substituting the given equations;

-(2x+2)+23 = 3x+6

open the parenthesis

-2x-2+23 = 3x+6

-2x+21 = 3x+6

collect the like terms

-2x-3x = 6 - 21

-5x = -15

Divide both sides by -5

-5x/-5 = -15/-5

x = 3

TO get BC, we will substitute x = 3 into the expression BC = 3x+6

BC = 3(5)+6

BC = 15+6

BC = 21

Hence the length of BC is 21 units

I hope this helps you...

Step-by-step explanation:

6x(9x-2)-4(9x-2)

54x²-12x-36x+8

54x²-48x+8

Answer:

14, 42

Step-by-step explanation:

Set A = {−7, −4, 2, 14, 21, 34, 42}

Set B = {even numbers}

Set C = {multiples of 7}

There is only one question asked

Which numbers in Set A are elements of both Set B and Set C,

We need it to be even and a multiple of 7

14 is even and a multiple of 7  and 42 is even and a multiple of 7

Answer:

[tex]\Huge \boxed{\mathrm{\{ 14, 42\} }}[/tex]

Step-by-step explanation:

[tex]\mathrm{Set \ A = \{-7, -4, 2, 14, 21, 34, 42\} }\\\\\\\mathrm{Set \ B = \{even \ numbers\} } \\\\\\\mathrm{Set \ C = \{multiples \ of \ 7\}}[/tex]

Whatever number is in Set A, it must also be in Set B and Set C.

The elements in Set A must be an even number and a multiple of 7.

Multiples of 7 from Set A are -7, 14, 21, 42.

The even numbers from these multiples of 7 are 14 and 42.

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3, -4) and (5, 5)

The distance between them is

We have the final answer as

Hope this helps you

Answer:

-17

Step-by-step explanation:

-14 + (-3)

-14 - 3

-17

Answer:

about 2 or 3

Step-by-step explanation:

heres what u do go onlie and put the books up for sale.

Answer:

The book of amber will reach the pool 6.78 seconds before the other

Step-by-step explanation:

common sense

Answer: f(x) = 7.50x + 315

Step-by-step explanation:

Let x represent the number of hours

Given: rate = 7.50,     commission = 4.5%(7,000) = 315

Equation: f(x) = 7.50x + 315

Table:

[tex]\boxed{\begin{array}{c||r|c||c}\underline{\text{Hours}}&\underline{\text{Wage}}&\underline{\text{Commission}}&\underline{\text{Weekly Earnings}}\\30&7.5(30)=225.00&315&540.00\\31&7.5(31)=232.50&315&547.50\\32&7.5(32)=240.00&315&555.00\\33&7.5(33)=247.50&315&562.50\\34&7.5(34)=255.00&315&570.00\\35&7.5(35)=262.50&315&577.50\\36&7.5(36)=270.00&315&585.00\\37&7.5(37)=277.50&315&592.50\\38&7.5(38)=285.00&315&600.00\\39&7.5(39)=292.50&315&607.50\\40&7.5(40)=300.00&315&615.00\end{array}}[/tex]

Graph: (see below)

The sequence represents triangle,quadrilateral,pentagon,hexagon,heptagon.

A sequence is a set of numbers which represents some common relation or representation among these numbers.

The geometric representation of the sequence 3,4,5,6,7... can be.

Given it represents geometry so it can be angles,sides.It can also represent interior angles.

If this sequence represents sides then it is triangle, quadrilateral, pentagon, hexagon...

If it represents interior angles then this sequence is also of triangle, quadrilateral, pentagon, hexagon,heptagon.

learn more about sequence here :

https://brainly.com/question/21961097

#SPJ2

Answer:

1/2

Step-by-step explanation:

Cube root of .125 which is 1/8 is 1/2

Answer:

12 belongs in the rational numbers, integers, and whole numbers

Step-by-step explanation:

12 is a whole number so it belongs in every category that has whole numbers.

Answer: The area is approximately 314 ft^2

Step-by-step explanation:

Well if the diameter is 20  feet then the radius will be 10 because the radius is half the diameter, and to find the area of a circle, you use the formula

A= [tex]\pi r^{2}[/tex]  where A is the area and pi times the radius squared.

We will represent pi by 3.14  

A= 3.14* 10^2

A= 3.14 * 100

A = 314

Answer:

the points and where it is located

Step-by-step explanation:

Answer:

34 5/8 inches

Step-by-step explanation:

Let the two strips be fabric A and fabric B

Fabric A= 14 3/4 inches

Fabric B = 20 7/8 inches

To form one length, the strips are sown together using 1/2 inch

Length after sewing=

Fabric A - 1/2 inch

= 14 3/4 inches - 1/2 inch

= 59/4 - 1/2

= 59-2 /4

= 57/4 inches

Length after sewing=

Fabric B - 1/2 inch

= 20 7/8 inches - 1/2 inch

= 167/8 - 1/2

= 167-4 /8

= 163/8 inches

Final length of the fabric after two strips are sewn together

= 57/4 inches + 163/8 inches

= 114+163 /8

= 277/8

= 34 5/8 inches

Final length of the fabric after two strips are sewn together= 34 5/8 inches

Answer:

l1l

Step-by-step explanation:

Answer:

-2x^2+8x-10

Step-by-step explanation:

(x^2+3x−7)−(3x^2−5x+3)

Distribute the minus sign

(x^2+3x−7)−3x^2+5x-3

Combine like terms

-2x^2+8x-10

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{ - 2 {x}^{2} + 8x - 10}}}}[/tex]

Step-by-step explanation:

[tex] \sf{( {x}^{2} + 3x - 7) - (3 {x}^{2} - 5x + 3)}[/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression. Also, remove the parentheses

⇒[tex] \sf{ {x}^{2} + 3x - 7 - 3 {x}^{2} + 5x - 3}[/tex]

Collect like terms

⇒[tex] \sf{ {x}^{2} - 3 {x}^{2} + 3x + 5x - 7 - 3}[/tex]

⇒[tex] \sf{ - 2 {x}^{2} + 8x - 10}[/tex]

Hope I helped!

Best regards!!

Answer:

y = -|x-2| (*)

2 cases:

case 1: for x≥2 <=> |x-2| = x-2

(*) <=> y = - (x-2)

<=> y = -x+2

<=> x+y = 2

case 2: for x>2 <=> |x-2| = 2-x

(*) <=> y = -(2-x)

<=> y = x-2

<=> x-y = 2

since there are 2 variables but just one equation, we cannot find the exact values of x and y. Instead, we can find some kind of connection between them.

Answer: An expression that represents repeated multiplication of the same factor is called a power .

I hope this is the answer you were looking for if it's not I'm really sorry:(

Answer:

2

Step-by-step explanation:

Simplify the following:

(-(2 + 2/3))/(-(1 + 1/3))

(-(2 + 2/3))/(-(1 + 1/3)) = (-1)/(-1)×(2 + 2/3)/(1 + 1/3) = (2 + 2/3)/(1 + 1/3):

(2 + 2/3)/(1 + 1/3)

Put 1 + 1/3 over the common denominator 3. 1 + 1/3 = 3/3 + 1/3:

(2 + 2/3)/(3/3 + 1/3)

3/3 + 1/3 = (3 + 1)/3:

(2 + 2/3)/((3 + 1)/3)

3 + 1 = 4:

(2 + 2/3)/(4/3)

Put 2 + 2/3 over the common denominator 3. 2 + 2/3 = (3×2)/3 + 2/3:

((3×2)/3 + 2/3)/(4/3)

3×2 = 6:

(6/3 + 2/3)/(4/3)

6/3 + 2/3 = (6 + 2)/3:

((6 + 2)/3)/(4/3)

6 + 2 = 8:

(8/3)/(4/3)

Multiply the numerator by the reciprocal of the denominator, (8/3)/(4/3) = 8/3×3/4:

(8×3)/(3×4)

(8×3)/(3×4) = 3/3×8/4 = 8/4:

8/4

The gcd of 8 and 4 is 4, so 8/4 = (4×2)/(4×1) = 4/4×2 = 2:

Answer: 2

Answer:

2

Step-by-step explanation:

Convert mixed fraction to improper fraction

[tex]-2\frac{2}{3}=-\frac{8}{3}\\\\\\-1\frac{1}{3}=-\frac{4}{3}[/tex]

[tex]-2\frac{2}{3}[/tex] ÷ [tex]-1\frac{1}{3} =[/tex] [tex]\frac{-8}{3}[/tex] ÷ [tex]-\frac{4}{3}[/tex]

                  [tex]=-\frac{8}{3}*-\frac{3}{4}\\\\\\=2 *1 \\\\= 2[/tex]

Answer:

each month 3 employees were laid off.

Step-by-step explanation:

the company started with 65 employees 12 months ago, and now there are 29. 65 - 29 = 36. In 12 months, 36 employees were laid off. 36 employees divided by 12 months = 3 employees per month.

Answer:

hope this helps

Step-by-step explanation:

my parents are the same way so if you listen to classical music then things will stick in you head and you can draw things to remind you what they mean like if you had a definitions then draw what they mean

Answer:

Amount of 8% vinegar = 216 mL

Amount of 13% vinegar = 54 mL

Step-by-step explanation:

First, of all, let x be the amount of 8% vinegar used

Since, the scientist needs 270 mL of vinegar, then;

Let 270 - x be the amount of 13% vinegar used

Now, we are told that she needs 270 mL of a 9% vinegar.

This means that;

8%x + 13%(270 - x) = 9%(270)

Simplifying this gives;

0.08x + 0.13(270 - x) = 0.09 × 270

Expanding the bracket gives;

0.08x + 35.1 - 0.13x = 24.3

0.13x - 0.08x = 35.1 - 24.3

0.05x = 10.8

x = 10.8/0.05

x = 216 mL

Thus, she will need to use 216 mL of the 8% vinegar.

Since 270 - x is the amount of 13% vinegar used , then;

the amount of 13% vinegar = 270 - 216 = 54 mL