hi can you help me ?
solve the equation by the method of vision:
x²-7x+12=0

solve the problem by dividing it into full squares:
x²-8x-8=0​

Answer:

x = 7

Step-by-step explanation:

[tex]\frac{3x-1}{5}[/tex] - [tex]\frac{x}{7}[/tex] = 3

Multiply through by 35 ( the LCM of 5 and 7 ) to clear the fractions

7(3x - 1) - 5x = 105 ← distribute parenthesis and simplify left side

21x - 7 - 5x = 105

16x - 7 = 105 ( add 7 to both sides )

16x = 112 ( divide both sides by 16 )

x = 7

To verify the answer substitute x = 7 into the left side of the equation and if equal to the right side then it is the solution

[tex]\frac{3(7)-1}{5}[/tex] - [tex]\frac{7}{7}[/tex]

= [tex]\frac{21-1}{5}[/tex] - 1

= [tex]\frac{20}{5}[/tex] - 1

= 4 - 1

= 3 = right side

Then x = 7 is the solution to the equation

-3x-7+4x+7

Negative -7 and positive 7 will give you 0.

So we're left with x. Therefore, the answer is x.

Answer:

[tex]-\frac{10t}{3}+6[/tex]

Step-by-step explanation:

[tex]7 \frac{1}{3}t-(10 \frac{2}{3} t-6)[/tex]

Convert [tex]7\frac{1}{3}[/tex] to a mixed number

[tex]7\frac{1}{3}=\frac{7\cdot 3+1}{3}[/tex]

[tex]=\frac{22}{3}[/tex]

[tex]\bold{\frac{22}{3}t-\left(10\frac{2}{3}t-6\right)}[/tex]

Convert [tex]10\frac{2}{3}[/tex] into a mixed number

[tex]10\frac{2}{3}=\frac{10\cdot 3+2}{3}[/tex]

[tex]=\frac{32}{3}[/tex]

[tex]\bold{\frac{22}{3}t-\left(\frac{32}{3}t-6\right)}[/tex]

[tex]=\frac{22t}{3}-\frac{32t}{3}+6[/tex]

[tex]\bold{=\frac{-10t}{3}+6}[/tex]

Terms

Follow the PEMDAS order of operation:

You do these steps in the order for which the equation comes. For example, start with the exponents if there are not any parentheses.

The two equations that can be used to find the height are as follows

12 / 4 = h  /5

5 / 4 = h  / 12

We have given that,

Amelia is 5 feet tall and casts a 4-foot shadow. A tree next to her casts a 12-foot shadow.

Similar triangles are not necessarily the same in size. Corresponding angles of similar triangles are congruent. The sides of a similar triangle are a ratio to each other.

The tree casts a shadow of 12 ft. Let's establish the proportion base on similar triangles. The height of the tree is h. Therefore,

h / 12 = 5 / 4

Therefore, h / 12 = 5 / 4

cross multiply

4h = 60

divide both sides by 4

h = 60 / 4

h = 15 ft

Therefore, the two equations that can be used to find the height are as follows

12 / 4 = h  /5

5 / 4 = h  / 12

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Answer:

i am on ttm

Step-by-step explanation:

12/4=h/5

5/4=h/12

Answer:

a. The sum of five times p and 8 is 23.

Answer:

Blank 1) 1 pound of raisins

Blank 2) 2.25 pounds of raisins

Blank 3) 1.2 pounds of almonds

Blank4) 1.4 pounds of almonds

Answer:

150% of 45 less than 100, greater than 100 but less than 150. Or greater than 150?

Answer:

Less than 100?                                                  YES

Step-by-step explanation:

150% of 45 less than 100, greater than 100 but less than 150, or greater than 150?

"150% of 45 "

150% (45)

1.5*(45) = 67.5      

Less than 100?                                                  YES

Greater than 100 but less than 150               NO

Greater than 150?                                             NO

The full installment price is $ 2200, and the annual interest rate is 10%.

Since Clare wants to buy a used wide-screen TV that sells for $ 2,000 cash, and she will make a down payment of $ 1,000 and then six monthly payments of $ 200, to determine what is the full installment price and the annual interest rate is due perform the following calculation:

Therefore, the full installment price is $ 2200, and the annual interest rate is 10%.

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Answer:

1 : $0.91

Step-by-step explanation:

divide 3 by 3

divide 2.73 by 3

1:0.91

Answer:

1.2x + 3

Step-by-step explanation:

It has to have +3 because 0 alresdy starts at 3 than use any point (I choose (5,9)) and find how much changed. The point moved 6 up and 5 to the right so divide 6/5 and get 1.2. Then test it with other points. (2,5.4) is a great example because it shows that whatever the equation is it is not 1.5 or anything above.

Answer:

45.72 meters hope this helps!

Answer:

300

Step-by-step explanation:

This question is pretty simple.

First, we just have to find 50% of 200.

So 50% is also 1/2.

1/2 of 200 is just 100. The question says that the truck is 50% LONGER than the car.

So 50% longer is 100 and 100+200(the length of the car) is 300.

The answer.

Answer:

42

Step-by-step explanation:

(10x3) + (2x6)

= 30 + 12

= 42

10x + 2 y = (10.3) +(2.6) = 30+12=42

Our answer is 42

Answer:

36.75 square feet

Step-by-step explanation:

First, we can divide 73.5 into 6 to calculate area for each section. We get the answer of 12.25. Next, it says that the garden is 3x2 sections, so we multiply 12.25 by 3 to get a total of 36.75

The Julia wants to make a vegetable garden in her backyard length of the vegetable garden is 10.5 feet.

The garden is divided into 6 sections.

The dimensions of the garden are 3 sections long by 2 sections wide.

Each section is in the shape of a square.

The area of the vegetable garden is 73.5 square feet.

Let's denote the side length of each square section as "s". Since there are 6 sections, the area of the vegetable garden can be calculated as:

Total Area = Number of Sections × Area of One Section

73.5 = 6 × s²

Now, solve for the side length "s":

s² = 73.5 / 6

s² = 12.25

Taking the square root of both sides:

s = √12.25

s = 3.5 feet

Since each section is a square and has a side length of 3.5 feet, the dimensions of the garden are 3 sections long by 2 sections wide, which translates to:

Length = 3.5 feet/section ×3 sections = 10.5 feet

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Explanation:

We'll let you draw the diagram. Here are some possible equations. We have listed the shortest sequence first.

(a) 24 = (10 + 10 + 4) = (8 + 8 + 8) = (10 + 8 + 4 + 2)

(b) 17 = (10 + 3 + 2 + 2) = (10 + 3 + 3 + 3 - 2) = (3 + 3 + 3 + 3 + 3 + 2)

(c) 15 = (11 + 4) = (6 + 6 + 3) = (4 + 4 + 4 + 3)

(d) 27 = (19 + 8) = (19 + 12 - 4) = (19 + 12 + 4 - 8)

Answer:

13. 15

14. 7.25

15. 18.7

16. 40.515

17. 9.6

18. 12.95

19. 20.4

20. 16.2

21. 24

22. 25.65

Answer:

Step-by-step explanation:

When using the substitution method we use the fact that if two expressions y and x are of equal value x=y, then x may replace y or vice versa in another expression without changing the value of the expression.

Solve the systems of equations using the substitution method

{y=2x+4

{y=3x+2

We substitute the y in the top equation with the expression for the second equation:

2x+4            =      3x+2

4−2              =        3x−2

2===             =         x

To determine the y-value, we may proceed by inserting our x-value in any of the equations. We select the first equation:

y= 2x + 4

We plug in x=2 and get

y=  2⋅2+4 = 8

The elimination method requires us to add or subtract the equations in order to eliminate either x or y, often one may not proceed with the addition directly without first multiplying either the first or second equation by some value.

Example:

2x−2y = 8

x+y = 1

We now wish to add the two equations but it will not result in either x or y being eliminated. Therefore we must multiply the second equation by 2 on both sides and get:

2x−2y = 8

2x+2y = 2

Now we attempt to add our system of equations. We commence with the x-terms on the left, and the y-terms thereafter and finally with the numbers on the right side:

(2x+2x)  + (−2y+2y) =  8+2

The y-terms have now been eliminated and we now have an equation with only one variable:

4x = 10

x= 10/4 =2.5

Thereafter, in order to determine the y-value we insert x=2.5 in one of the equations. We select the first:

2⋅2.5−2y     =  8

5−8             = 2y

−3               =2y

−3/2            =y

y                 =-1.5

Answer:

1. No, because a system of linear equations in two variables may have, zero,  or infinietley solutions.

2. true because the answer of a system is the intersect, not where the lines cross a grid.

3.a. y=2x+4

y=3x+2

2x+4=3x+2

4-2=3x-2

2=x

b.y=2x+4

y=2*2+4=8

c. 2.2.5-2y=8

5-8=2y

=3=2y

-3/2=y

y=1.5

Step-by-step explanation:

answers for teh complete assigment

Answer:

i may need more info on the temperature or do you have to find out

Step-by-step explanation:

Answer:

Zero is not a natural number

Step-by-step explanation:

Hope this helps!

Answer:

Yes

Step-by-step explanation:

the triangle is a scalene triangle (has no equal parts

Answer:

i don't know sorry

Answer: 22 blue balloons

Step-by-step explanation:

IF 3/10 balloons are red out of 60, we have

[tex]\frac{3}{10} *60[/tex] = 18 red balloons in total

1/3 of the balloons are yellow, 60/3=20 yellow balloons

Blue balloons= 60-18 (red)-20(yellow)=22

Answer:

2097152 or 2^21

Step-by-step explanation:

Answer: [tex]2^{21}[/tex]

Step-by-step explanation: Exponents are combined when simplifying a multiplication equation.

[tex]\text{Given that ,}\\\\\text{Length,}~ l = (2y+5)~\text{units.}\\\\\text{Width, } w= 3~\text{units.}\\\\\\\text{Area} = lw = (2y+5)(3) = (6y+15) ~~ \text{units}^2.\\\\\\\text{Perimeter} =2(l+w) = 2(2y+5 +3) = 2(2y+8) = (4y+16)~~ \text{units}.[/tex]

Answer:

[tex]y=-1 \frac{2}{3}x+5[/tex]  

Step-by-step explanation:

y=mx+b is slope-intercept form

m= slope

b= y-intercept (where the line on the graph touches the y=axis aka the line that goes vertically or up and down).

The photo you have attached is very blurry but i will do my best to read the numbers on the graph.

the y-intercept looks to be at 5

so we plug that in

y=mx+5

now let's get the slope.

pick two points you can easily see,

slope is change in y over the change in x --- which is simplified below

rise over run

y2-y1 divided by x2-x1

we can see the point (0,5) and the point (3,0)

(3,0) is going to be the x2 and y2 and the other point is the x and y 1s

0-5= -5

3-0= 3

-5/3

let's simplify that

we know three goes into five once, so that gives us one whole but it's still negative because our slope is negative.

-1 2/3

that is our slope

let's plug it in:

[tex]y=-1 \frac{2}{3}x+5[/tex]

that is our answer!

Answer: 1/4

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

A positive change simply means that there is more inventory the following day while a negative change means that there is less inventory the following day.

An inventory or stock simply means the goods that a business can hold in order to sell or use for its production purpose.

A positive inventory simply means that the company has phones that have not yet been sold. On the other hand, a negative inventory means that the inventory count is below zero.

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