Solve the equation for x. 1 2 x − 6 = 8 A) x = −7 B) x = −7 C) x = 14 D) x = 28

Answer:

See below

Step-by-step explanation:

I'll provide an example to help you. Let's say we were solving [tex]x^2+5x-7=0[/tex] and we wanted to factor the quadratic on the left side. We can't do that because the factors of -7 don't add up to 5. So we'd have to use the quadratic formula. The quadratic formula is essentially the last resort that will solve all quadratic equations, so it could be seen as a preferred method. But, unless you can factor the quadratic, it's much easier to solve.

Now let's do another one. [tex]x^2+5x+6=0[/tex] for example can be written as [tex](x+2)(x+3)=0[/tex] and we can easily get [tex]x=-2[/tex] and [tex]x=-3[/tex] as solutions since plugging them into the factors would produce 0 (from the Zero Product Property). If we used the quadratic formula, it would take more time to plug in the variables and solve when we can just simply factor.

Hopefully, this explanation helps you to think of your discussion post!

Answer: - 1331

Step-by-step explanation:

(-11)(-11)(-11)

(121)(-11)

- 1331

Answer:

-23

Step-by-step explanation:

(t-8) - (t + 15)

t - 8 - t - 15

-8 - 15

-23

The new price of the scooter will be:

= $50 - (20% × $50)

= $50 - $10

= $40

The sale price of the football will be:

= 35% × $60

= $21

y= -4x-5 you can find this by seeing how far it goes up/down and where it starts:)

Answer:

-9x - 9

Step-by-step explanation:

Combine like terms.

-3 • 2x= -6x.     -3 • 5= -15

-6x - 15 - 3x+ 6

-9x - 9

Answer:

40

Step-by-step explanation:

9x8 = 72

5x8 = 40

72:40 = 9:5

Hope that helps

Answer:

x^5/4

Step-by-step explanation:

The first one

Answer:

f(x) = (2/3)x-2

Step-by-step explanation:

Pick any two points and calculate the slope.  I chose:  (-3,-4) and (3,0).  The Rise/Run, or slope, is (0-(-4))/(3-(-3) or 4/6:  2/3

The y-intercept of the graph is -2 ( the value of y when x=0).

Given y = mx + b

we have

y = (2/3)x - 2

Option 3

Answer:

16/3

Step-by-step explanation:

(3x + 14)x = 5

3x² + 14x = 5

3x² + 14x - 5 = 0

3x² + 15x - x - 5 = 0

3x(x + 5) - 1(x + 5) = 0

(3x - 1)(x + 5) = 0

x = 1/3 & -5

Here,

r = 1/3

s = -5

r - s

1/3 - (-5)

1/3 + 5

1 + 15/3

16/3

the value of the difference r-s is [tex]\bold{\frac{16}{3}}[/tex]

Answer:

Solution given:

(3x+14)x=5

opening bracket

3x²+14x=5

3x²+14x-5=0

Doing middle term factorisation

3x²+(15-1)x-5=0

3x²+15x-x-5=0

3x(x+5)-1(x+5)=0

(3x-1)(x+5)=0

either

x=-5

or

3x-1=0

3x=1

x=⅓

According to question value of x is r>s

so

⅓>-5

so

r=⅓

and

s=-5

Now

r-s=⅓-(-5)=[tex]\frac{1+5*3}{3}=\frac{16}{3}[/tex]

Answer:

This assume the equation is 35y = mx + c, and that r is meant to be x.

Step-by-step explanation:

35y = mx + c

35y = -2(-7) - 3

35y = 14 - 3

35y = 11

y = (11/35)

Please check the formatting of your question.

B. (0,2) and E (2,2) are the ordered pairings that allow both inequalities to hold.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

We can check which ordered pairs satisfy both inequalities by substituting the x and y values into each inequality and checking if they are both true.

Let's check each option:

A. (-1,3)

The first inequality gives us 3 < 5(-1) + 2, which simplifies to 3 < -3. This is false, so (-1,3) does not satisfy the first inequality.

The second inequality gives us 3 ≥ 1/2(-1) + 1, which simplifies to 3 ≥ 1/2. This is true, so (-1,3) satisfies the second inequality.

B. (0,2)

The first inequality gives us 2 < 5(0) + 2, which simplifies to 2 < 2. This is false, so (0,2) does not satisfy the first inequality.

The second inequality gives us 2 ≥ 1/2(0) + 1, which simplifies to 2 ≥ 1. This is true, so (0,2) satisfies the second inequality.

C. (1,2)

The first inequality gives us 2 < 5(1) + 2, which simplifies to 2 < 7. This is true, so (1,2) satisfies the first inequality.

The second inequality gives us 2 ≥ 1/2(1) + 1, which simplifies to 2 ≥ 3/2. This is true, so (1,2) satisfies the second inequality.

D. (2,-1)

The first inequality gives us -1 < 5(2) + 2, which simplifies to -1 < 12. This is true, so (2,-1) satisfies the first inequality.

The second inequality gives us -1 ≥ 1/2(2) + 1, which simplifies to -1 ≥ 2. This is false, so (2,-1) does not satisfy the second inequality.

E. (2,2)

The first inequality gives us 2 < 5(2) + 2, which simplifies to 2 < 12. This is true, so (2,2) satisfies the first inequality.

The second inequality gives us 2 ≥ 1/2(2) + 1, which simplifies to 2 ≥ 2. This is true, so (2,2) satisfies the second inequality.

Therefore, the ordered pairs that make both inequalities true are B. (0,2) and E. (2,2).

Learn more about inequalities here:

https://brainly.com/question/30231190

#SPJ7

Step-by-step explanation:

5/6 ×9/5

Multiply the denominators and the numerators separately; that is:

5×9 and 6×5

45 and 30

=45/30

=3/2(simplified)

Answer:

1.5

Step-by-step explanation:

Answer:

9/10

Step-by-step explanation:

Convert: 3/5 * 6/5=18/25

Simplify and Round it towards 9/10

Answer:

8/5

Step-by-step explanation:

You can rewrite the equation to 2/5 * 12/3

Which is equal to 2/5*4

So 2 times 4 is 8

So the answer is 8/5

Hope this helps!

Remember that a system of equations (two lines) only has solutions if the lines cross. In this case, the lines are parallel, which means that they will never cross. Therefore, there are no solutions.

Hope this helps! :)

Answer:

4 boxes left 3 boxes up.

Step-by-step explanation:

Answer:

Weak and positive

Step-by-step explanation:

I just said it

The correlation of the data provided is Weak and the positive option (C) is correct.

A regression line is a graph that illustrates the pattern of a group of statistics. In other words, it shows the data's best pattern.

We have a scatter plot shown in the picture.

As we can see in the dot plot the dots are scattered so much so there will be a very weak correlation between the variables.

As we know, the correlation is the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

The formula for the regression coefficient:

[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]

Drawing a line of best fit, we will see the correlation is Weak and positive.

Thus, the correlation of the data provided is Weak and the positive option (C) is correct.

Learn more about the regression line here:

brainly.com/question/7656407

#SPJ2

Answer:

9. the first one ( 12 + 4 = 4 + 12 )

Step-by-step explanation:

the commutative property of addition means that you can change the order of the numbers you add and the sum will still be the same. this is shown in the 12 + 4 = 4 + 12 because the order is switched, but they are still equal.

The example of the commutative property of addition is 12 + 4 = 4 + 12, the correct option is A.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

The four options

Now,

The commutative property of addition states that changing the order of the addends does not change the sum.

This is the only option that shows the same sum with different orders of addends.

Therefore, by algebra the answer will be 12 + 4 = 4 + 12.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ7

Answer: 50!!!

Step-by-step explanation:

Answer:

25/50 + 13/26

Step-by-step explanation:?????Not sure, please have someone else answer i dont want to be the cause of your incorrect answer:(

Answer:

try 20%

Step-by-step explanation:

Answer:

Hi, the answer is a.

Step-by-step explanation:

1. 1800-200=1600

2. As 1800 is total x will be smaller amount. so....

3. when we write a subtraction statement bigger number - smaller number..

4. So answer will be 1600-x

The expression that represents the money left in his wallet in rupees will be 1600 - x. Then the correct option is A.

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Naren had Rs. 1800 in his wallet. He spent Rs. x on a watch and 200 to watch a cricket match.

Then the expression is given as,

⇒ 1800 - x - 200

Simplify the expression, then we have

⇒ 1800 - x - 200

⇒ 1600 - x

The expression that represents the money left in his wallet in rupees will be 1600 - x. Then the correct option is A.

More about the equivalent link is given below.

https://brainly.com/question/889935

#SPJ2

Answer:

16

Step-by-step explanation:

Divide 640 by 40.

[tex]640 = x \times 10 \times 4[/tex]

[tex]640 = 40x[/tex]

Divide both sides by 40

[tex] \frac{640}{40} = \frac{40x}{40} \\ [/tex]

[tex]x = 16[/tex]

Thus the height would be 16 feet .

Answer: Part A. Olivia- y=x+4 Camille- idr.k but it increases by 1/2 ever time

Part B. The slope represents the rate of change and the y-intercept indicates the value of y when x is 0.

Part C. Olivia's puppy weighed the most. It weighed 5 pounds.

Part D. Camille's puppy only gained 1/2 a pound each week.

Step-by-step explanation: