True or False. When adding a positive and negative integer, the sum maybe a positive Integer.

Answer:

m = 0.666667*​x+​1 is the answer

Step-by-step explanation:

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:

x = 0.333...(repeating or .34 if u round)

Step-by-step explanation:

add 4x and 2x= 6x

20- 12 = 8

6x + 8 = 10

  -8      -8

6x = 2

6      6

x = 0.333...(repeating or .34 if u round)

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:

The answer is 400 when you round it off to the nearest hundred.

Answer:

B,C

Step-by-step explanation:

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:

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:

The area of the square is 15²

the area of a square and the length of its side are directly proportional because The area of the square is x²=> when its edge decreases, the area of ​​the figure decreases

Step-by-step explanation:

Answer:

6 1/10 mixed 61/10 improper

Step-by-step explanation:

Answer:

that answer is C you are correct

Step-by-step explanation:

Answer:

add 2 zeros at the end of all of them

Step-by-step explanation:

Answer:They both equal 1 half

Step-by-step explanation:To put it a lil more simply, 1/2 = 0.5 and 4/8 also = 0.5

Answer:

1/2 is 4/8. 1/2 is just 4/8 but simplified. So 12/36 simplified is 1/3, 24/48 is 1/2

Answer:

বাংলা ৬ নাম্বার প্রশ্নের উওর টা কি

Answer: 3/5 is the correct answer

Answer: 90 divided by 45 equals 2     45+45=90

Step-by-step explanation:

Answer:

6 i think

Step-by-step explanation:

vertices are the points and there are 6 points

Answer:

V = [tex]\frac{Bh}{3}[/tex]

Step-by-step explanation:

Given

B = [tex]\frac{3V}{h}[/tex] ( multiply both sides by h )

Bh = 3V ( isolate V by dividing both sides by 3 )

[tex]\frac{Bh}{3}[/tex] = V

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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:

OOF

Step-by-step explanation:

Answer: i don't actually know, sorry but i need to get my points so i'm typing this.

Step-by-step explanation: none

Answer:

-8 is the real answer

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:

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:

-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:

479

Step-by-step explanation:

Answer: It's obviously D.

Step-by-step explanation:

Answer:

x= 11/5 OR 2.2

Step-by-step explanation:

Answer: x= 2.2

Step-by-step explanation:

0x+8=5x-3

    +3     +3

0x+11=5x

5    5   5

x=2.2

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:

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

Step-by-step explanation: