3(x + 2) = 2x + 5 justification/ reason

Answer: He's wrong. The solution is x=2

Step-by-step explanation:

4x-4=12-4x

8x-4=12

8x=16

x=2

Blake's assumption is wrong. x = 2 is the solution.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given:

We have an algebraic equation,

4(x − 1) = 12-4x.

Simplifying,

4x - 4 = 12 - 4x

8x = 16

x = 2

Therefore, x = 2 is the solution.

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Answer:

domain: (–∞,∞)    or  all real numbers

range: (–∞,∞)       or  all real numbers

Step-by-step explanation:

domain is left to right (x-axis). looking at the graph, as you go from left to right, the x-values are infinitely getting more negative and positive.

range is bottom to top (y-axis). as you go from bottom to top, the y-values are infinitely getting more negative and positive.

Answer:

(a) [tex]x=-2,3[/tex] (b) [tex]x=\frac{3}{4} ,-\frac{11}{4}[/tex]

Step-by-step explanation:

[tex]y=x^2-x-6\\y=2x^2+x-6[/tex]

For the first equation, this can easily be factored

[tex]y=(x+2)(x-3)[/tex]

Now, set each of their factors equal to zero and solve

[tex]x+2=0\\x=-2\\\\x-3=0\\x=3[/tex]

Therefore, for a, the roots of [tex]y=x^2-x-6[/tex] are [tex]x=-2, 3[/tex]

For the second equation, it is able to be factored, however, its normally easier to use the quadratic equation to solve polynomials with an a term greater than 1

[tex]y=2x^2+x-6[/tex]

[tex]x_{1} =-b+\frac{\sqrt{b^2-4ac} }{2a}=-1+\frac{\sqrt{1-4(2)(-6)} }{4}=-1+\frac{\sqrt{1-(-48)} }{4}=-1+\frac{\sqrt{49} }{4} =-1+\frac{7}{4}=\frac{3}{4}[/tex]

[tex]x_{2}=-b-\frac{\sqrt{b^2-4ac}}{2a}=-1-\frac{\sqrt{1-4(2)(-6)} }{4} =-1-\frac{\sqrt{1-(-48)} }{4}=-1-\frac{\sqrt{49} }{4}=-1-\frac{7}{4} =-\frac{11}{4}[/tex]

Hope this helps! :)

Answer:

64

Step-by-step explanation:

If you add a positive number that is the same as the negative number together then your answer will end up to be 0.

Answer:

64

Step-by-step explanation:

- 64 + 64 = 0

Adding a positive number to the negative of the same number gives zero

Answer:

10

Step-by-step explanation:

1. The formula to find the slope of a line given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. All we have to do is plug in the values and simplify.

2. (Solving)

Therefore, the slope is 10.

Answer:

b and d

Step-by-step explanation:

b&d is your answer

A

Step-by-step explanation:

55: 4

60: 4

4(=)

60 is bigger than 55

bigger distance in the same time.

Angle 8 and Angle 2 are supplementary. So Angle 8 + 70 would equal to 180.

180-70 is 110 hence angle is 110 degrees.

Answer:

quadrant 3 you're welcome :-)

Answer:

Step-by-step explanation:

QUANCDRAHT 2

Answer: Gee Im a tree

Step-by-step explanation:

Ive heard this joke before lol so corny

1. If two parallel lines are cut by a transversal then the pair of consecutive interior angles are supplementary.

2. If two parallel lines are cut by a transversal then pair of alternate interior angles are equal.

3. m∠1 is  106°.

4.  m∠3 is 74°

5.  m∠8 is 114°

6.  m∠6 is  124°

7. m∠7 is  66°

8.  m∠2 is 66°

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

1. If two parallel lines are cut by a transversal then the pair of consecutive interior angles are supplementary.

2. If two parallel lines are cut by a transversal then pair of alternate interior angles are equal.

3. m∠2 is 74° then m∠1 is (180 - 74)° = 106°.    (linear pair of angles)

4. m∠2 is 74° then m∠3 is 74°.    (vertically opposite angles)

5. m∠1 is 114° then m∠8 is 114°   (alternate angles)

6. m∠4 is 56° then m∠6 is (180 - 56)° = 124°  (180° - m∠5)

7. m∠1 is 84° then m∠7 is (180° - m∠8) = 180° - 114° = 66°.

8. m∠8 is 114° then m∠2 is m∠7 = 66°

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Answer:

The following expression may be 2(3a^2-2).

Step-by-step explanation:

I factored the following expression 6a^2-4

Answer:

510

Step-by-step explanation:

please give me a brainlist

Answer:

The remainder is 40.

Step-by-step explanation:

We're applying synthetic division here.

The coefficients of this function are {1, 6, -3, 0}.  The divisor (x + 5) is represented by the monomial divisor -5.

Setting up synthetic division, we get:

-5    1    6    -3    0

            -5   -5   40

      ---------------------

       1     1    -8    40

The remainder is 40.

Answer:

7x - 4 + x = 12

7(2) - 4 + (2) = 12

True x = 2

Step-by-step explanation:

I used a calculator, pls let me know if im incorrect

Answer:

so it is basically 2 times 27 or 27 plus 27 witch is 54 you will need 12

Step-by-step explanation:

9514 1404 393

Answer:

  y = 9x

Step-by-step explanation:

We notice that each y-value is a multiple of 9, and the multiple is x.

  y = 9x

20% off means it is selling for 80% of the original price (109% - 20 % = 80%)

Sale price = 6600 x 0.80 = 5,280

Now add the tax:

5280 x 1.05 = 5544

The total price is $5,544

Answer:

bru its was in my head now its gone

Step-by-step explanation:

The degrees on a triangle add up to 180.

(x) + (x-7) + (3x+12) = 180 ; Just shwoing what i'm doing.

x + x-7 + 3x + 12 = 180

5x + 5 = 180 ; x + x + 3x = 5x , 12 - 7 = 5

5x = 175 ; Subtract 5 from 180

x = 35 ; 175/5 = 35

P: x - 7 = 35 - 7 = 28

Q: 3 (x) + 12 = 3 (35) + 12 = 105 + 12 = 117

R: x = 35

Step-by-step explanation:

y2−x2+1=50

Step 1: Add -y^2 to both sides.

−x2+y2+1+−y2=50+−y2

−x2+1=−y2+50

Step 2: Add -1 to both sides.

−x2+1+−1=−y2+50+−1

−x2=−y2+49

Step 3: Divide both sides by -1.

−x2

−1

=

−y2+49

−1

x2=y2−49

Step 4: Take square root.

x=√y2−49 or x=−√y2−49

Answer:

x=√y2−49 or x=−√y2−49

y2+6y+9=x+8

Step 1: Flip the equation.

x+8=y2+6y+9

Step 2: Add -8 to both sides.

x+8+−8=y2+6y+9+−8

x=y2+6y+1

Answer:

x=y2+6y+1

Answer:

3 hours and 45 Minutes

Step-by-step explanation:

If you multiply 45 minutes for five days it's equal to 3 hours and 45 minutes.

Answer:

58

Step-by-step explanation:

We are given the arithmetic sequence:-

-12,-7,-2,3,...

First, find the common difference which we can obtain by:-

[tex] \displaystyle \large{d = a_{n + 1} - a_n}[/tex]

Check:-

-7-(-12) = -7+12 = 5

-2+7 = 5

3+2 = 5

Therefore, our common difference is 5.

General Arithmetic Term

[tex] \displaystyle \large{a_n = a_1 + (n - 1)d}[/tex]

Since we want to find the 15th term, substitute a1 = -12, n = 15 and d = 5.

[tex] \displaystyle \large{a_{15}= - 12 + (15 - 1)5} \\ \displaystyle \large{a_{15}= - 12 + (14)5} \\ \displaystyle \large{a_{15}= - 12 + 70} \\ \displaystyle \large{a_{15}= 58} \\ [/tex]

Answer:

i hope thisanswer will help you

Answer:

terms-4x, 3b and 2

Step-by-step explanation:

coefficients-4, 3 and 2

2 + 2 - 2 + 2 - 2 + 2 - 5 + 2 =

2 + 2 + 2 + 2 + 2 - 2 - 2 - 5 =

10 - 9 =

1

Answer:

0.57

Step-by-step explanation:

Answer:

Step-by-step explanation:

2/3 × 6/7 =

2 × 2/7 =

4/7

[tex] \sqrt{12} \\ = \sqrt{4 \times 3} \\ = \sqrt{2 \times 2 \times 3} \\ = 2 \sqrt{3} [/tex]

The answer is 2√3.

[tex] \sqrt{12} \\ = \sqrt{2 \times 2 \times 3} \\ = \boxed{ 2 \sqrt{3} }[/tex]

Answer:

3.4156020*10^-1 for scientific notation if you want to keep that ending zero (I'd normally write it 3.415602*10^-1)

Step-by-step explanation:

So the idea of scientific notation (or engineering notation) is to make things smaller and more manageable. The idea is to move the variables so that one is in front of the point.

So if you had something like this:

12342300000000000000

It'd be equal to 1.23423*10^19

Or something like this

0.0000095675

Would be 9.5675*10^-6

Answer:

-2.86

-0.37

0.19

0.91

1.46