1) What is the product of (3​x +​ 2) and (​x -​ 7)?
2) What are the factors (multiplier) of 3x2 − 9x ?

Answer both of the questions

Answer:

Step-by-step explanation

didnt regroup for one part

Answer:

Step-by-step explanation:

A rectangular room must have a perimeter of 20 feet and an area of at least 20 square feet. Describe the possible widths of the room. Round your answers to the nearest tenth of a foot

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L + W = 10 --> W = 10 - L

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L*W >= 20

----

Solve L*W = 20

L*(10 - L) = 20

-L^2 + 10L - 20 = 0

Answer:

25 because the 8 values must times with 7 and will get 56. when the ninth value added , let the ninth value as y , 56+y , the new mean is 9 . so it will be like this , 56+y over 9 times with 9

The equation of the line that passes through P and is perpendicular to PQ is y=-1/3x+12.

Given that, the line PQ has equation y = 3x - 8 and point P has coordinates (6, 10).

We need to find the equation of the line that passes through P.

The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that has a slope of m, then the slope of the line is -1/m.

Here, the slope of the equation is 3.

The equation of the line that passes through P and is perpendicular to PQ is -1/3.

Now, 10=-1/3(6)+c

⇒c=12

Thus, y=-1/3x+12

Therefore, the equation of the line that passes through P and is perpendicular to PQ is y=-1/3x+12.

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Answer:

0.1, 1/8 , 2/3

Step-by-step explanation:

0.1 is 0.1

1/8 is 0.125

2/3 is 0.6

Answer:

Q = 35

Step-by-step explanation:

1. You add both (m)x values and y values making them equal to 180 creating a 2 step-equation: (7x+2) + (10x-31) making that 17x-33= 180

2. Now you have a 2 step-equation to solve: 17x-33 = 180-33=147

                                                                                  +-33  +-33

                                                                                 __________

                                                                              17x = 147/17=21

                                                                               /17     /17

3. From here with 21, knowing the kite must equal to 180, you add 21 to the other angle 124: 124+21=145

4. Seeing that you don't have a total of 180, you now subtract 145 from 180 in order to get the value of Q: 180-145= 35

Q= 35

Step-by-step explanation:

7x + 2 = 10x - 31

33 = 3x

x = 11

so, 7x + 2 = 7( 11 ) +2 = 79°

10x - 31 = 10( 11 ) - 31 = 79°

ΔP + ΔQ + ΔR + ΔS = 360°

79° + ΔQ + 79° + 124° = 360°

ΔQ + 282° = 360°

ΔQ = 360° - 282°

ΔQ = 78°

Answer:

X/15 = 32/20

x = 24 ft

Step-by-step explanation:

X/15 = 32/20

x = 24 ft

Answer:

7.8

Step-by-step explanation:

pretty sure it's right

Answer:

c.

Step-by-step explanation:

5-7 = -2

2 - -3=5

-2/5

Answer:

23.41cm

Step-by-step explanation:

Using Pythagoras theorem

a²+b² = c²

Where a and b are sides of the triangle and c is the Hypotenuse.

If we substitute the values

B= 8 cm

A= 22 cm

22²+8² = c²

484 + 64= c²

√548 = c

C= 23.41

Hence, length AB is 23.41cm

CHECK THE ATTACHMENT

Answer:

B

Step-by-step explanation:

A right triangle is formed by the ground, the side of the house and the ladder.

The hypotenuse is the ladder

let the side of the house be h

Using the sine ratio in the right triangle formed, then

sin77° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{h}{22}[/tex] ( multiply both sides by 22 )

22 × sin77° = h , then

h ≈ 21.44 ( to the nearest hundredth )

The ladder reaches 21.44 ft up the side of the house

Answer:

-20

Step-by-step explanation:

Answer:

It's -20F :)

Step-by-step explanation:

hsbshehehebvdhshhakakkanabsbxh

Answer:

A) 1.3 and C) −2

Step-by-step explanation:

Answer:I’ll ask my my teacher

Step-by-step explanation:

Answer:

1123

Step-by-step explanation:

32 vfesjv  sfv bs nvsn fv

Answer:

angle equals 15.466 so Answer A, 15.47

Answer:

The first answer is no

two varying quantities are said to be in a relation of proportionality you can't divide 50 into 6 and get a proportional number

The second answer is yes because they are all equal and make a straight line

Step-by-step explanation:

Given:

The given expression is

[tex]\dfrac{e\times e\times e\times f}{e\times e\times f\times f}[/tex]

To find:

The simplified form of given expression.

Solution:

We have,

[tex]\dfrac{e\times e\times e\times f}{e\times e\times f\times f}[/tex]

The common factors in numerator and denominator are e, e, f.

Cancel out the common factors.

[tex]=\dfrac{e}{f}[/tex]

Therefore, the required expression is [tex]\dfrac{e}{f}[/tex].

Answer:

12x= 180

Step-by-step explanation:

The sum of a triangle always adds up to 180 so,

(4x-1)+ (2x-1) +6 = 180

12x=180

x=15

Answer:

The equation you could use is the 3rd solution. You need to add all of the nubers that have an x after it because you can't add a number that doesn't have x and a number that does have x.  So once you add all of those,  you add the 10, and keep the subtrction symbol instead of the addition symbol. And like I said before, all triangles are equal to 180.

Step-by-step explanation:

Answer:lol

Step-by-step explanation:

Answer:

p < 10

Step-by-step explanation:

-6 (p - 8) < -12

-6p + 48 < -12

- 48 -48

-6p < -60

/-6 /-6

p < 10

Answer:

the banana cost per kg is 6 and for orange it is 4

Step-by-step explanation:

The computation is shown below:

Let us assume the banana be x

And, the oranges be y

Now according to the question

There would be two equations

32x + 86y = 536.......(1)

96x + 52y = 784.........(2)

Now multiply by 3 in equation 1

96x + 258y = 1,608

96x + 52y = 784

258y - 52y = 1608 - 784

206y = 824

y = 4

And, the x would be

32x + 86(4) = 536

32x + 344 = 536

x = 6

Hence, the banana cost per kg is 6 and for orange it is 4

Answer:

D: (1 + x) f[x] == 3

R: x < -1 || x > -1

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Answer: False

Step-by-step explanation:

After partial fraction decomposition the correct expression we get,

[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{6}{2x-3} - \frac{7}{(2x-3)^2}[/tex]

Hence option fourth is correct.

Partial fractions is a technique used in mathematics to decompose a rational function into simpler fractions.

It involves breaking down a rational function with a denominator of a higher degree into a sum of fractions with simpler denominators.

The given expression is,

[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{A}{2x-3} + \frac{B}{(2x-3)^2}[/tex]

[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{A(2x-3) + B}{4x^2 - 12 x + 9}[/tex]                      [since (a-b) = a² + b² -2ab]

Simplifying we get

⇒ 12x - 25 = A(2x - 3) + B

⇒ 12x - 25 = 2Ax + (B - 3A)

Comparing the coefficients we get

2A = 12

⇒ A = 6

And B - 3A = -25

Put the value of A we get

B =  -7

Hence,

After substituting the values of A and B in the given expression we get

[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{6}{2x-3} - \frac{7}{(2x-3)^2}[/tex].

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Answer:

13% decrease. (13.4193548...% to be specific)

Step-by-step explanation:

The difference is 1550-1342=208. 208 as a percentage of 1550 --> 208/1550= 0.134193548... = 13% to the nearest whole number. So, it is a 13% decrease.