What is the value of this

Answer:

(- 7, - 2 ) , (9.5, 0.75 )

Step-by-step explanation:

Given the equations

x - 6y = 5 ( add 6y to both sides )

x = 5 + 6y → (1)

xy - 2y² = 6 → (2)

Substitute x = 5 + 6y into (2)

(5 + 6y)y - 2y² = 6 ← distribute and rearrange left side

5y + 6y² - 2y² = 6

4y² + 5y = 6 ( subtract 6 from both sides )

4y² + 5y - 6 = 0 ← in standard form

(y + 2)(4y - 3) = 0 ← in factored form

Equate each factor to zero and solve for y

y + 2 = 0 ⇒ y = - 2

4y - 3 = 0 ⇒ 4y = 3 ⇒ y = [tex]\frac{3}{4}[/tex] = 0.75

Substitute these values into (1) for corresponding values of x

y = - 2 : x = 5 + 6(- 2) = 5 - 12 = - 7 ⇒ (- 7, - 2 )

y = 0.75 : x = 5 + 6(0.75) = 5 + 4.5 = 9.5 ⇒ (9.5, 0.75 )

(- 7, - 2 ) and  (9.5, 0.75 ) are the solutions.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.

Here, we have,

Given the equations

x - 6y = 5 ( add 6y to both sides )

x = 5 + 6y → (1)

xy - 2y² = 6 → (2)

Substitute x = 5 + 6y into (2)

(5 + 6y)y - 2y² = 6 ← distribute and rearrange left side

5y + 6y² - 2y² = 6

4y² + 5y = 6 ( subtract 6 from both sides )

4y² + 5y - 6 = 0 ← in standard form

(y + 2)(4y - 3) = 0 ← in factored form

Equate each factor to zero and solve for y

y + 2 = 0 ⇒ y = - 2

4y - 3 = 0 ⇒ 4y = 3 ⇒ y =  = 0.75

Substitute these values into (1) for corresponding values of x

y = - 2 : x = 5 + 6(- 2) = 5 - 12 = - 7 ⇒ (- 7, - 2 )

y = 0.75 : x = 5 + 6(0.75) = 5 + 4.5 = 9.5 ⇒ (9.5, 0.75 )

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Answer:

1/4

Step-by-step explanation:

We know :-

Substitute ,

Based on the change in the perimeter, the scale factor of the dilation is 3.5.

The scale factor of the dilation refers to the number of times the triangle was dilated such that it went from 12 inches to 42 inches.

This dilation can be found as:

= Increased perimeter / Original perimeter

Solving for it would give:

= 42 / 12

= 3.5

In conclusion, the scale factor of the dilation is 3.5.

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Answer:

Slope: -1/3

Y-Intercept: 7

Step-by-step explanation:

slope: -a/b

y=c

Answer:

A

Step-by-step explanation:

If you count, the number is 12. Then divide that number by 2. You get 6.

[you divide by 2 because you need to find the average. i rlly don't know how to explain better]

Answer:

The answer is A.

6

Answer:

give picture

Step-by-step explanation:

Solving inequalities with addition is similar to solving equations with addition in the initial steps, but it differs in the final answer due to the inequality sign. In both cases, you use addition to isolate the variable. However, with inequalities, you must consider the direction of the sign throughout the process.

When solving inequalities with addition, like equations, the goal is to isolate the variable on one side. You use addition to simplify the expression. Begin by treating the inequality like an equation, adding or subtracting the same value to both sides to eliminate constants and isolate the variable.

For example, if you have [tex]\(2x + 5 > 10\)[/tex], subtract 5 from both sides to get [tex]\(2x > 5\)[/tex].

Here's where it diverges: since inequalities involve the relationship between two quantities, you need to be mindful of the inequality sign. When you multiply or divide both sides by a negative number, the inequality direction flips.

For example, if you multiply [tex]\(x < 3\)[/tex] by -2, the sign changes to [tex]\(x > -6\)[/tex].

Remember, you're looking for a range of values that satisfy the inequality. So, when representing your final answer, use the appropriate inequality sign. For instance, if [tex]\(3x + 2 \leq 8\)[/tex], after simplifying, you'll have [tex]\(x \leq 2\)[/tex], indicating that any value of [tex]\(x\)[/tex] less than or equal to 2 satisfies the inequality.

In summary, while solving inequalities with addition is akin to solving equations with addition in the initial steps, the crucial distinction lies in managing the inequality sign throughout the process and representing the solution as a range of values that satisfy the inequality.

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Complete Question:

How is solving inequalities with addition is similar to or different from solving equations with addition ?

Answer:

42 miles

Step-by-step explanation:

180/3=6 6x7=42

Answer:

420 miles in 7 hours

Step-by-step explanation:

You divide 180 by 3 to get how much the van is traveling per hour. When you get the answer 60 multiply it by 7 then you have 420 miles in 7 hours.

Answer:

What do you need me to do

Step-by-step explanation:

Answer:

6 x 4

8 x 3

The product: 24

Hope This Helps! •v•

Step-by-step explanation:

Answer:

6 x 4

8 x 3

The product: 24 K12 is how i know thx bye! :D

Answer:

Hope this helps you

Step-by-step explanation:

6. x = 9

7. x = -1

8. x = True of all

9. no solution

10. h = 5/3

11. x = 2

12. d = 7

Answer:

Step-by-step explanation:

(7x - 1) + 79° = 21x + 8

• An exterior angle of a triangle is equal to the sum of its two interior opposite angles.

[tex](7x - 1) +79 = 21x + 8 \\ 7x - 1 + 79 = 21x + 8 \\ 7x + 78 = 21x + 8 \\ 78 - 8 = 21x - 7x \\ 70 = 14x \\ \frac{70}{14} = x \\ 5 = x \\[/tex]

NRS = 21x + 8

[tex]21x + 8 \\ 21(5) + 8 \\ 105 + 8 \\ {113}^{o} [/tex]

Answer:

f = 3

Step-by-step explanation:

7f + 6 = 27 ( subtract 6 from both sides )

7f = 21 ( divide both sides by 7 )

f = 3

7f+6=27

7f=27-6

7f=21

Divide both sides by 7 to isolate f:

f=3

Hope this helps!

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

Answer:

3/8 is is bigger then 3/12

Step-by-step explanation:

The reason is that 3/12 is equivalent to 2/8 and 3/8 is equivalent to 6/16

Sorry if its wrong! ^^""

As, 0.375> 0.25, so, 3/8 is greater than 3/12.

Here, we have,

To get the answer, we first convert each fraction into decimal numbers.

We do this by dividing the numerator by the denominator for each fraction as illustrated below:

3/8 = 0.375

3/12 = 0.25

Then, we compare the two decimal numbers to get the answer.

0.375 is greater than 0.25.

i.e. 0.375> 0.25, as 0.375 - 0.25 = 0.125

Therefore, 3/8 is greater than 3/12.

Hence, As, 0.375> 0.25, so, 3/8 is greater than 3/12.

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Answer:

2.4

Step-by-step explanation:

You have to divide 6.4 by 2.4 to get 2.66666666667.

Then you multiply 2.66666666667 and 0.9 to get 2.4

When x = 6.4, y = 2.4

Hope this helps!

Answer: 22

Step-by-step explanation:

Answer:

(1,1)

Step-by-step explanation:

Step-by-step explanation:

3(6k+5)+ 3(6k+4)

open the bracket

18k+15+18k+12=0

collect like terms

18k+18k+15+12=0

36k + 27 =0

36k=-27

k=-27/-36

divide through by 3

k= -9/-12

still divide through by 3

k=-3/-4

minus cancel minus

k=3/4

Answer:

4 weeks

Step-by-step explanation:

15 + 2x = 23

2x = 8

x = 4

60 + (3x - 13) = (5x + 1)

60 + 3x - 13 = 5x + 1

3x - 5x = 1 - 60 + 13

-2x = -46

-2x / -2 = -46 / -2

x = 23

Answer: x = 23

Answer:

Step-by-step explanation:

y = dresser height

x = mirror height

x+y=6.28

x-y = 1.28

x = 1.28+y

x+y=6.28

(1.28+y)+y=6.28

2y = 5

y = 2.5

Dresser = 2.5 ft

Dresser + Mirror = 2.5 + 1.28 = 6.28 ft

Mirror = 1.28 ft

Answer:

dude...

Step-by-step explanation:

11

also this is easy pz

Answer:

11 Girls

Step-by-step explanation:

23 - 12 = 11

Answer:

If you were really that bad at math make it more than 6+ points lmoa and the answer is 1

Step-by-step explanation:

Answer:

y = - 5x + 30

Answer:

y=-3/2x+1

Step-by-step explanation:

NOTE: Doing graphs by hand is a lot easier, it saves a lot more time as well.

Step 1: plot your 2 known points.

Step 2: draw a line that goes between both points

Step 3: find the distance of the points in RISE/RUN format.

-9/6. The slope is negative because the line goes down to the right.

Step 4: find your y-intercept.

1.

Step 5: simplify your equation

-9/6 = -3/2

Answer:

C) 1

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

Step-by-step explanation:

h(3) means that x = 3. That's the right side of the x axis. At that point, h(3) has a y value of 1.

Answer:

100°C

Step-by-step explanation:

Substitute in the values:

C = 5/9 × (212 - 32)

Simplify:

C = 5/9 × 180

1/9 of 180 = 20 (180 ÷ 9)

∴ 5/9 of 180 = 100°C (20 × 5)

Answer:

c=100C°

we learn that in intermational school