8. Phil received a commission of 5% on
the sale of a house. If the amount of
his commission was $4780, what was
the selling price of the house?

What’s the answer

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).

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Answer:

4(n-8)

Step-by-step explanation:

4(n-8)

I think it'd be written like this

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:

6.5

Step-by-step explanation:

Answer:

the value of ST is 2 of its x is 2

Answer:

y=0.75x-1

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:

x^5/4

Step-by-step explanation:

The first one

Answer: 50!!!

Step-by-step explanation:

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!

The line y = -1 parallel to line y = 6 that passes through the point (-2,-1).

Answer:

15

Step-by-step explanation:

3 times 5 is 15

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.

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Answer:

3,700

Step-by-step explanation:

I know it's black because I did it in my head

Answer:

225 pepper seedlings.

Step-by-step explanation:

WAY 1: common sense

half of 150 is 75

75 + 150 = 225

WAY 2: % of number

convert % to decimals (/100)

0.5 x 150 = 75

150 + 75 = 225

Answer: 4.15

Step-by-step explanation:

Answer: - 1331

Step-by-step explanation:

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

(121)(-11)

- 1331

Answer:

Given: The equation of the line y = 3x+2

The condition for a point to be on a line is to satisfy its equation

(i) Let us consider (1/3, 3), substitute x = 1/3 and y = 3 in given equation

3 = 3(1/3) + 2

= 1 + 2

= 3

Hence, (1/3, 3) lies on the line

(ii) Let us consider (2, 8) and substitute x = 2 and y = 8 in given equation

8 = 3(2) + 2

= 6 + 2

= 8

Hence, (2, 8) lies on the line

(iii) Let us consider (0, 2) and substitute x = 0 and y = 2 in given equation

2 = 3(0) + 2 = 2

(iv) Let us consider (7, 19) and substitute x = 7 and y = 19 in given equation

19 = 3(7) + 2

= 21+ 2

= 23 ≠ 19

Step-by-step explanation:

Answer:

-9x - 9

Step-by-step explanation:

Combine like terms.

-3 • 2x= -6x.     -3 • 5= -15

-6x - 15 - 3x+ 6

-9x - 9

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!

Answer:

d=8√2 = 11.31

x=3√3 = 5.20

y=6√3 = 10.39

Step-by-step explanation:

d²=8²+8²

d²=64+64

d²=128

d=√128

d=√64*2

d=8√2 = 11.31

30-60-90 triangle

x-x√3-2x

x√3=9

x=9/√3

x=3√3

y=2x

y=2 * 3√3

y=6√3

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

Answer:

-23

Step-by-step explanation:

(t-8) - (t + 15)

t - 8 - t - 15

-8 - 15

-23

Answer:

try 20%

Step-by-step explanation:

Answer:

no he is dead

Step-by-step explanation:

Answer:

No

Step-by-step explanation: