Liz is using the distributive property to evaluate the expression 27 (36) by using friendlier numbers. Her work is shown below. Liz’s Work 27(36) Step 1 27 (3 + 12) Step 2 27 (3) + 27 (12) Step 3 81 + 324 Step 4 405 What was the first error that Liz made? PLZ HELP ME I DONT UNDERSTAND HELP ME PLZ!!!!!

Answer:

0-2 x-intercepts and 0-1 y-intercepts

Step-by-step explanation:

A quadratic function can have anywhere from 0 to 2 x-intercepts. This is possible because a function can have 0, 1, or 2 solutions.

A parabola can also have either 0 or 1 y intercepts. It is possible for the function to not intercept the y axis at all, and it is also possible for it to intercept it exactly one time.

Step-by-step explanation:

x+y=9

x=9-y ----------(i)

Now in second eqn put the value of x

2x -3y=8

2(9-y) - 3y=8

18 - 2y - 3y=8

18-8=5y

10=5y

y=2

Then put the value of y in eqn (i)

x=9-y

x=9-2

x=7

I hope this will be helpful for you.

Answer:

Step-by-step explanation:

Given,

x + y = 9

2x - 3y = 8

Using substitution method:

In this method , a variable is expressed in terms of another variable from one equation and it is substituted in the remaining equation.

[tex] \mathsf{x + y = 9}[/tex]

Move y to right hand side and change it's sign

⇒[tex] \mathsf{x = 9 - y}[/tex]⇔equation ( i )

Now, put the value of X from equation ( i )

⇒[tex] \mathsf{ 2 (9 - y) - 3y = 8}[/tex]

Distribute 2 through the parentheses

⇒[tex] \mathsf{18 - 2y - 3y = 8}[/tex]

Collect like terms

⇒[tex] \mathsf{18 - 5y = 8}[/tex]

Move constant to right hand side and change it's sign

⇒[tex] \mathsf{ - 5y = 8 - 18}[/tex]

Calculate

⇒[tex] \mathsf{ - 5y = - 10}[/tex]

Divide both sides of the equation by -5

⇒[tex] \mathsf{ \frac{ - 5y}{ - 5} = \frac{ - 10}{ - 5} }[/tex]

Calculate

⇒[tex] \mathsf{y = 2}[/tex]

Now, Put the value of y in the equation ( i )

⇒[tex]x = 9 - 2[/tex]

Calculate the difference

⇒[tex] \mathsf{x = 7}[/tex]

Hence, x = 7 and y = 2

The possible solution of the system is the ordered pair ( x , y )

[tex] \mathsf{(x \: , y \: ) = (7 , \: 2)}[/tex]

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

Check if the given ordered pair is the solution of the system of equation

⇒[tex] \mathsf{7 + 2 = 9}[/tex]

⇒[tex] \sf{2 \times 7 - 3 \times 2 = 8}[/tex]

Simplify the equalities

⇒[tex] \sf{9 = 9}[/tex]

⇒[tex] \mathsf{8 = 8}[/tex]

Since all of the equalities are true , the ordered pair is the solution of the system.

[tex] \mathsf{ \underline{ \bold{(x \:, y \: ) = (7 \:, 2)}}}[/tex]

Hope I helped!

Best regards!!

Answer:

-10x+1.5

Step-by-step explanation:

-2(5x-0.75).... distributive property

-10x+1.5

Note:

-&-=+

+&+=+

+&-=-

-&+=-

Hope this helps ;) ❤❤❤

Answer:

d

Step-by-step explanation:

Answer:

250

Step-by-step explanation:

5000×5/100 =250

why because you times it for commission because it what you gain

Answer:

(6,26)

Step-by-step explanation:

You will take the points and graph them since these are both positive equations they will go up and to the right.

both intersect at (6,26)

also if you forgot how to graph it, I got you

1. find the rate of change (as I will call it) THIS IS YOUR NUMBER NEXT TO THE X!!! this means that the line will go up 4 and over 1 then your whole number, in this example would be 2 is your y-intersect (the place on the y-axis where the line passes) after that you should be able to draw your lines and find the poi!

Please comment if I got something wrong! I don't want to be giving bad advice

Answer:

10

Step-by-step explanation:

pi is 3.14...

pi - 1 is 2.14...

question becomes 1<2.14x and 2.14x < 10

1/2.14 < x, 0.46... < x

x < 10/2.14, x < 4.67...

combining

0.46< x < 4.67

x can be 1, 2, 3, 4

Answer:

Step-by-step explanation:

pi - 1 = 3.14 - 1 = 2.14

x has to be an integer, and the result must be greater than 1.

1 works.

1 < 2.14*1 < 10  2.14 is between 1 and 10.

2 works

1 < (2.14)*2 < 10

1 < 4.28 < 10

3 works

1 < 2.14 * 3 < 10

1 < 6.42 < 10

4 might work

1 < 2.14*4 < 10

1 < 8.56 < 10

and it does work.

5 can't work

1 < 5 * 2.14 < 10

1 < 10.7 < 10 is not true.

Answer: 1,2,3,4

Answer :

y=7x-47

Step-by-step explanation:

[tex] (8, 9) = (x_1,y_1) \\ m = 7 \\ y - y_1 = m(x - x _1) \\ y - 9 = 7(x - 8)[/tex]

[tex]y - 9 = 7x - 56 \\ y = 7x - 56 + 9 \\ y = 7x - 47[/tex]

I hope it helps

Answer:

Width   W = 7 m

Length  L =  9 m

Step-by-step explanation:

Area of a rectangle = L * W

Area = 63 m²

L = 3W - 12

Area = L * W

66 = (3W - 12) * W

63 = 3W² - 12W

3W² - 12W - 63 = 0     ( solve W by using quadratic equation)

       -(-12) ± √ -12² - 4 * 3 * (-63)

W = -------------------------------------------

                      2 * 3

W = 7 ;  W = - 3  

therefore use W = 7 m

solve for L:

L = 3W - 12

L = 3(7) - 12

L =  9 m

check:

Area = L * W

63 =  9 * 7

63 = 63  ----- OK

Answer:

No!

Step-by-step explanation:

This question is essentially asking if [tex]\frac{5}{6}[/tex] = [tex]\frac{3}{4}[/tex]

Well we can easily tell that it doesn't, but if we want to check, we can do cross multiplication.

So we are trying to find out if 5(4) = 3(6).

5(4) = 20 and 3(6) = 18.

[tex]20 \neq 18[/tex] so [tex]5:6 \neq 3:4[/tex]

They are not equal!

Answer:

No, because the numbers in the given ratio must be multiplied by the same number.

Step-by-step explanation:

Right on E 2020

Answer:

y =2x+1

Step-by-step explanation:

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 2x+b

Substituting the point into the equation

5 = 2(2)+b

5 = 4+b

5-4 =b

b=1

y =2x+1

Answer:

8 and 5.

Step-by-step explanation:

8 x 5 = 40

8 + 5 = 13

Answer:

3 x (14-3) = 33

Step-by-step explanation:

The algebraic expression will be : 3(x - 4) = 33

Given,

3 times the difference of a number and 4 is 33

Now,

Let the number be x .

So,

Three times the difference of x and 4 will be 33 .

So,

First subtract x-4

Then thrice of this is 33

So,

3(x - 4) = 33

Thus the algebraic expression is 3(x - 4) = 33 .

After solving the expression:

x- 4 = 11

x = 15

Know more about algebra,

https://brainly.com/question/16934260

#SPJ6

Answer:

4ab² + 20b - 3a

Step-by-step explanation:

This question most likely asks us to simplify the expression, as factoring is not possible...

(ab² + 13b - 4a) + (3ab² + a + 7b),

ab² + 13b - 4a + 3ab² + a + 7b,

ab² + 3ab² + 13b + 7b - 4a + a,

Solution : 4ab² + 20b - 3a

Answer:

12x² - 4x - 8

Step-by-step explanation:

Use FOIL method

(3x + 2)(4x - 4) = 3x*4x + 3x*(-4) + 2 *4x + 2*(-4)

                        = 12x² - 12x + 8x - 8   {add like terms}

                        = 12x² - 4x - 8

Hint: 3x * 4x  -----> Multiply the coefficients = 3 *4 = 12 and then multiply the variables and for multiplying the two variable, add the powers

x*x =[tex]x^{1+1)=x^{2}[/tex]

3x * 4x = 12x²

Answer:

itś between 30 and 45 but my best guest is 30

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

because i said so

Answer:

-31

Step-by-step explanation:

-2((c+5)/(-2))=13*-2

c+5=-26

c=-31

Answer:

c = -31

Step-by-step explanation:

(c+5)/(-2)=13

Multiply each side by -2

(c+5)/(-2) *-2=13* -2

c+5 = -26

Subtract 5 from each side

c+5-5 = -26-5

c = -31

Hi

perimeter of rectangle is  : 2 length+2 width .

to progress in math, you must practice.

So , I let you  do the first one which is the esaiest.

48 ) V147+ V147 + V108+V108 =    2V147 +2V108  = 2 ( V147+V108)

Explanation:

The idea is to isolate y getting it by itself. We can do this a number of ways, but possibly the quickest way is to add y to both sides

x/2 - y + 6 = 0

x/2 + 6 = 0+y

x/2 + 6 = y

y = x/2 + 6

This is now in slope intercept form, more or less. We could rewrite the x/2 as (1/2)x to get

y = (1/2)x + 6

Then compare this to y = mx+b and note the slope is m = 1/2 and the y intercept is b = 6.

Side note: the quality of the snapshot is fairly good. I've seen much worse.

Answer:

1 out of 6

Step-by-step explanation:

Answer:

2π² or 19.74

Step-by-step explanation:

Given r = π

Then:

or

Answer:

Leg₂ ≈ 6.481 or √42

Step-by-step explanation:

a² + b² = c²

(√7)² + b² = (7)²

7 + b² = 49

b² = 42

b = √42

b ≈ 6.481

Answer:

20 questions

Step-by-step explanation:

Given

[tex]Correct \Marks= +5[/tex]

[tex]Incorrect\ Marks= -2[/tex]

[tex]Score\ Obtained = 30[/tex]

[tex]Number\ of\ correct\ answers = 10[/tex]

Required

Number of questions answered

First, we need to get the total correct marks obtained by Roy

This is calculated by multiplying the correct marks by number of correct answers

[tex]Total = +5 * 10[/tex]

[tex]Total = +50\ marks[/tex]

Subtract this from the total scores obtained; This gives the total incorrect answer obtained by Roy

[tex]Incorrect = Scores\ Obtained - Total[/tex]

[tex]Incorrect = 30 - (+50)[/tex]

Open bracket

[tex]Incorrect = 30 - 50[/tex]

[tex]Incorrect = -20[/tex]

Divide this by -2 to get the number of incorrect answers

[tex]Incorrect\ Answers = \frac{-20}{-2}[/tex]

[tex]Incorrect\ Answers = 10[/tex]

Add this to the number of correct answers to give the total number of question answered

[tex]Total = Correct\ Answers + Incorrect\ Answers[/tex]

[tex]Total = 10 + 10[/tex]

[tex]Total = 20[/tex]

Hence, Roy answered a total of 20 questions

Answer:

1). Option (3)

2). Option (D)

Step-by-step explanation:

1). Integers are the numbers which are whole numbers with negative or positive notations.

Integers can't be a fraction or a number with decimal.

Out of the numbers given,

-18 and 4 will be the integers

Option (3) is the correct answer.

2). Shaded portion of the diagram represents the rational numbers excluding integers,

By the definition of the rational numbers, any number which can be written as a fraction is a rational number.

Rational numbers → All numbers given are the rational numbers

Integers → [tex]\frac{16}{4}=4, -\frac{30}{5}=6, -\frac{32}{8}=-4[/tex]

Therefore, only one number [tex]\frac{30}{9}[/tex] will lie in the shaded region.

Option (D) will be the answer.

Answer:

4.

Step-by-step explanation:

f^-1(x) is the inverse of f(x). That means that f(x) = 2x - 6 becomes...

x = 2y - 6

2y - 6 = x

2y = x + 6

y = 1/2x + 3.

When x = 2...

y = 1/2(2) + 3

= 1 + 3

= 4.

Hope this helps!

Answer: 6

Step-by-step explanation:

ax/ay=r^(x-y)

in this case it will be

a4/a1=r^(4-1)

24/3=r^3

8=r^3

r=2

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

an=a1×r^(n-1) ⇔ geometric sequence formula

a2=3×2^(2-1)

a2=3×2^1

a2=3×2

a2=6

Answer:

I dont get the question, is there suposed to be a chart?

Step-by-step explanation:

Answer:

5.1 gallons

Step-by-step explanation:

Using the information provided, we know that there is of course 40.8 gallons of paint to be divided into 8 containers. This means we must use a division problem to figure out our answer.

We are splitting the 40.8 gallons into the 8 containers so that means our dividend is 40.8 and our divisor is 8. With this information, we can go ahead and put this into an expression of:

40.8/8

If you have a calculator, you can plug that equation in to get 5.1, but if you don't then a bit of easy long division will get you the same answer of 5.1 gallons.

Answer: 51 gallons

Step-by-step explanation:

Answer:

0.123 GSD are expected to be received by each JPY.

Step-by-step explanation:

The exchange rate is the ratio of GSD per each JPY, that is:

[tex]x = \frac{12.33\,GSD}{100\,JPY}[/tex]

[tex]x = 0.123\,\frac{GSD}{JPY}[/tex]

Which means that 0.123 GSD are expected to be received by each JPY.

Answer:

The total population = 9514.2857143 people.

Step-by-step explanation:

Let the total population be represented by X

In the question, we are told that,1332 people are under the age of 20 and this value = 14% of the total population.

Therefore, the total population is calculated as

14% of X = 1332

14/100 × X = 1332

14X/100 = 1332

Cross Multiply

14X = 1332 × 100

X = 1332 × 100/14

X = 9514.2857143

Therefore, the total population = 9514.2857143 people.