Which of the following statements is incorrect?

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6) The solution set of the equation x² + 8x - 15 = 5x + 13 is {-7, 4}.

7) The zeroes of the expression 2x (x - 5) (x + 7) are {-7, 0, 5}.

8) The expression (x + 5) (x + 8) + (x + 5)(2x - 3) can be written as a product of (x + 5) and (3x + 5).

9) There are 2 integer solutions on the interval 0 ≤ x ≤ 10 for the equation x³ - 5x² + 2x + 13 = 5.

We have,

6)

x² + 8x - 15 = 5x + 13

Rearranging the equation:

x² + 8x - 5x - 15 - 13 = 0

x² + 3x - 28 = 0

Now, factorize the quadratic equation:

(x + 7)(x - 4) = 0

Setting each factor equal to zero:

x + 7 = 0 or x - 4 = 0

Solving for x:

x = -7 or x = 4

7)

2x (x - 5) (x + 7) = 0

Setting each factor equal to zero:

2x = 0 or x - 5 = 0 or x + 7 = 0

Solving for x:

x = 0 or x = 5 or x = -7

8)

(x + 5) (x + 8 + 2x - 3)

Simplifying the expression inside the parentheses:

(x + 5) (3x + 5)

9)

x³ - 5x² + 2x + 13 = 5

Substitute each integer value from 0 to 10 into the equation and count the number of solutions.

Substituting each integer value,

x = 0,

x³ - 5x² + 2x + 13 = 5

0 - 0 + 0 + 13 = 5

13 = 5

Not true.

Similarly,

x = 2,

x³ - 5x² + 2x + 13 = 5

8 - 20 + 4 + 13 = 5

25 - 20 = 5

5 = 5

True.

x = 4,

x³ - 5x² + 2x + 13 = 5

64 - 80 + 8 + 13 = 5

85 - 80 = 5

5 = 5

True.

There are two integer solutions:

x = 2 and x = 4.

Therefore,

The solution set of the equation x² + 8x - 15 = 5x + 13 is {-7, 4}.

The zeroes of the expression 2x (x - 5) (x + 7) are {-7, 0, 5}.

The expression (x + 5) (x + 8) + (x + 5)(2x - 3) can be written as a product of (x + 5) and (3x + 5).

There are 2 integer solutions on the interval 0 ≤ x ≤ 10 for the equation x³ - 5x² + 2x + 13 = 5.

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Answer:

-8 is the real answer

Step-by-step explanation:

Answer:

No they are not equivalent,

Step-by-step explanation:

3 x 6 is 18 and 5 x 6 is 30,  not 32 so it is non-equivalent

Answer:

[tex] \huge y = - 3(x - 9)[/tex]

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

From the question we have the final answer as

[tex]y - 0 = - 3(x - 9) \\ \\ \\ y = - 3(x - 9)[/tex]

Hope this helps you

Answer:

Step-by-step explanation:

For 12 if its a parrell line then the slope of the two lines have to be the same. Since the slope is 3/5 then the answer is A because the slope in A is  also 3/5

for 13 if its perpendicular, then the slope has to be the opposite sign and flipped. so for example if its a negative then the slope has to be a positive and if the slope is 1/2 you have to flip it which is 2/1 and 2/1 equals 2.

so in this one if the slope is 3/5 we have to flip it making it 5/3 and the opposite of a positive is a negative so it would be -5/3, so the answer is C.

Answer:

12. A

13. C

Step-by-step explanation:

12. to be parallel needs same slope

13. to be perpendicular flip slope and if positive change to negative

Answer:

11

Step-by-step explanation:

Answer:

a=0

Step-by-step explanation:

Answer: a=0

Step-by-step explanation:

8a+a−3=6a−2a−3

Step 1: Simplify both sides of the equation.

8a+a−3=6a−2a−3

8a+a+−3=6a+−2a+−3

(8a+a)+(−3)=(6a+−2a)+(−3)(Combine Like Terms)

9a+−3=4a+−3

9a−3=4a−3

Step 2: Subtract 4a from both sides.

9a−3−4a=4a−3−4a

5a−3=−3

Step 3: Add 3 to both sides.

5a−3+3=−3+3

5a=0

Step 4: Divide both sides by 5.

5a /5= 0/5

Answer: a=0

(hope that was helpful )

Answer:

x - 4 = 10

x = 14

Step-by-step explanation:

Any variable can be used to represent the number, I choose to use "x" in this case.

x - 4 = 10

Inverse operations;

x - 4 = 10

  +4    +4

x = 14

Answer:

m = 0.666667*​x+​1 is the answer

Step-by-step explanation:

Answer:

make it so that its flat or turn it left

Step-by-step explanation:

Answer:

x=95°

Step-by-step explanation:

Answer:

বাংলা ৬ নাম্বার প্রশ্নের উওর টা কি

Answer: 3/5 is the correct answer

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(( E )) is the midpoint of BC ,

Thus ;

[tex]BE = CE = 6[/tex]

So :

[tex]BC = 12[/tex]

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[tex] \frac{AC}{2} = DE \\ [/tex]

[tex] \frac{AC}{2} = 7.5 \\ [/tex]

Multiply sides by 2

[tex]2 \times \frac{AC}{2} = 2 \times 7.5 \\ [/tex]

[tex]AC = 15[/tex]

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[tex] \frac{AB}{2} = EF \\ [/tex]

[tex] \frac{AB}{2} = 8 \\ [/tex]

Multiply sides by 2

[tex]2 \times \frac{AB}{2} = 2 \times 8 \\ [/tex]

[tex]AB = 16[/tex]

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[tex]∆ABC \: \: Perimeter =

AB + BC + AC \\ [/tex]

[tex]

∆ABC \: \: Perimeter = 16 + 12 + 15 \\ [/tex]

[tex]

∆ABC \: \: Perimeter = 43[/tex]

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Done...

The perimeter of triangle ABC is 43.

Since BE = CE = 6

So, BC = 12

Now

[tex]AC \div 2 = DE\\\\AC\div 2 = 7.5[/tex]

Now multiplied sides by 2

So,

[tex]2\times AC \div 2 = DE\\\\AC\div 2 = 7.5 \times 2[/tex]

AC = 15

Half of AB = EF

AB = 16

Now the perimeter is

= AB + BC + AC

= 16 + 12 + 15

= 43

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Answer:

m= 4/5

Step-by-step explanation:

use the formula (y2 - y1)/ (x2 - x1)

(-10, -3) (-5, 1)

1-( -3)/-5-( -10)= 4/5

Answer:

add 2 zeros at the end of all of them

Step-by-step explanation:

Answer:

479

Step-by-step explanation:

sir im sry to tell u this but, Y ARENT U SUBBED TO PEWDIEPIE U NERD

Answer:

Maybe just 26 cause when you do 26/1 as a fraction that’s indicating it’s a whole number so just try 26, I’m not completely sure though. Sorry wish I could help more

Step-by-step explanation:

Answer:

Step-by-step explanation:

tany+coty =

[tex]\frac{siny}{cosy} + \frac{cosy}{siny}[/tex]·

[tex]\frac{sin^{2}y + cos^{2}y }{cosysiny}[/tex]

[tex]\frac{1}{cosysiny}[/tex]

[tex](secy) (cscy)[/tex]

Answer:

-790

Step-by-step explanation:

Answer:

-5040

Step-by-step explanation:

Start inside out.

1) -72/-2=36 now this is still inside the braces so you have to multiply times 2

2)36*2= 72 and now remember that negative times negative is positive

3)72*7=504

multiplies times -10= -5040

You can also think about this another way

(-72/-2)(2) the two's go away and you stay with -72/-1, wich is equal to 72 and then multiply that by 7 and them times -10.

Answer:

a=c because opposite vertices are always equal to one another

Step-by-step explanation:

Simplified :(5x+4y)(5x−4y)

=(5x+4y)(5x+−4y)

=(5x)(5x)+(5x)(−4y)+(4y)(5x)+(4y)(−4y)

=25x2−20xy+20xy−16y2

=25x2−16y2

hope this helps!

Answer:

25x^2-16y^2

Combine the opposite terms in  5x(5x)+5x(4y)-4y(4y)

                                                            5x(5x)-4y(4y)

                                                             25x^2-16y^2

Answer:

Let's solve for x.

5x−4y=−23−5x+9y

Step 1: Add 5x to both sides.

5x−4y+5x=−5x+9y−23+5x

10x−4y=9y−23

Step 2: Add 4y to both sides.

10x−4y+4y=9y−23+4y

10x=13y−23

Step 3: Divide both sides by 10.

10x

10

=

13y−23

10

x=

13

10

y+

−23

10

Answer:

x=

13

10

y+

−23

10

Step-by-step explanation:

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Answer:

R = 7.197% per year

Step-by-step explanation:

r = n[(A/P)1/nt - 1]

Answer:8/9

Step-by-step explanation:4/3 * 2/3=8/9

The simplification of the fraction 1 1/3 x 2/3 in the simplest form will be; 8/9

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have been given the mixed fraction as;

[tex]1 \dfrac{1}{3} \times \dfrac{2}{3}[/tex]

First, we need to simplify the mixed fraction;

[tex]1 \dfrac{1}{3} =\dfrac{4}{3}[/tex]

Therefore, the product of the fraction will be;

4/3 x 2/3 = 8/9

Hence, the simplification of the fraction 1 1/3 x 2/3 in the simplest form will be; 8/9

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Answer:

6 1/10 mixed 61/10 improper

Step-by-step explanation:

Answer:

19.5

Step-by-step explanation:

Answer:

that answer is C you are correct

Step-by-step explanation: