Solve the equation. (find x)​

Answer:

Which grade's book exercise is this?

Answer:

First choice is the right answer (-∞, -9] or (2, ∞)

Step-by-step explanation:

I. Solve 1st problem 2(2x - 1)  > 6

                 4x-2 > 6

                 4x > 6+2

                  x > 2

II. Solve 2nd problem x + 3 <=  -6

                 x <= -6-3

                 x <= -9

III. Prove the answer

         if x > 2 then x = 3

          2( 2(3)-1 ) > 6

          2(5) > 6

           10 > 6  so the answer is true

         if x <= -9 then x = -9

           -9 + 3 <= -6

                  -6 <= -6 so the answer is true

Hope that help :D

A function is positive where it is above the x-axis

The valid solution for positive demand are; t = 3, and t = 2

The reason the above values are correct is as follows:

Known parameters:

The given function of the demand is; [tex]C(t) = \mathbf{ -\sqrt{t^2 + 4 \times t - 12} +3}[/tex]

Where;

C(t) = The demand of the cellphone (in millions of people)

t = The number of months

The condition positive demand is C(t) ≥ 0

Therefore;

[tex]-\sqrt{t^2 + 4 \times t - 12} +3 \geq 0[/tex]

[tex]-\sqrt{t^2 + 4 \times t - 12} \geq -3[/tex]

[tex]\sqrt{t^2 + 4 \times t - 12} \leq 3[/tex]

t² + 4·t - 12 ≤ 9

t² + 4·t - 12 - 9 ≤ 0

t² + 4·t - 21 ≤ 0

(t - 3) × (t + 7) ≤ 0

∴ t ≤ 3, or t ≥ -7

At t = 2 < 3, we have;

C(2) = -√(2² + 4×2 - 12) + 3 = 3

At t = 1 < 3, the function is; C(1) = -√(1² + 4×1 - 12) + 3 (Is undefined)

Therefore, the valid solution for positive demand are;

t = 3, and t = 2

Learn more about the functions here:

https://brainly.com/question/24249596

Answer:

3,3

Step-by-step explanation:

Answer:

2 5/9

Step-by-step explanation:

2.5 repeating is 2 5/9 as a fraction (mixed number) or 23/9 (fraction)

The repeating decimal 2.5 can be written as the mixed number 2 5/9 in simplest form.

Here, we have,

To convert the repeating decimal 2.5 to a mixed number in simplest form, we can follow these steps:

Step 1:

Let's assume x = 2.5

Step 2:

Multiply both sides of the equation by 10 to shift the decimal point one place to the right: 10x = 25.5

Step 3:

Subtract the original equation from the one obtained in Step 2 to eliminate the repeating part:

10x - x = 25.5- 2.5

9x = 23 (since the repeating part subtracts to zero).

Step 4: Solve for x by dividing both sides by 9:

x = 23 / 9.

Step 5: Express the fraction 23/9 as a mixed number:

23 ÷ 9 = 2 remainder 5.

Therefore, x = 2 remainder 5/9.

so, we get,

Thus, the repeating decimal 2.5 can be written as the mixed number 2 5/9 in simplest form.

To learn more on number click:

brainly.com/question/17429689

#SPJ6

Answer:

Let x = the number of lbs of Type A coffee.

We know that this month's blend used 3 times as many pounds of type B coffee as type A coffee.

Total lbs of coffee = x + 3x

The total cost then is:

($ cost for Type A)(x) + ($ cost for Type B)(3x) = $717.60

$5.65x + $4.25(3x) = $717.60

$5.65x + $12.75x = $717.60

$18.40x = $717.60

x = 39 lbs

Answer: 2x-3

Step-by-step explanation:

2x-3

---------------

X+3 /2x^2+3x+5

( - )2x^2+6x Multiply x • 2x^2

______. and subtract it from 2x^2

-3x+5. Multiply x • -3 and subtract it

(-)-3x-9 from -3x

______

14

Answer:

y=2x-3

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Add 2 to both sides, then divide both sides by 2.

[tex]2x \leq 13 \\x \leq 13/2[/tex]

x is less than or equal to 13/2, So the largest value is 13/2, or 6.5. Meaning the largest integer value is 6

[tex]\boxed{\sf \dfrac{a^m}{a^n}=a^{m-n}}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{16x^4-24x^3+3}{4x^2+3}[/tex]

[tex]\\ \rm\Rrightarrow 4x^2+3\left(\dfrac{4x^2-24x+1}{1}\right)[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{4x^2-24x+1}{1}[/tex]

[tex]\\ \rm\Rrightarrow 4x^2-24x+1[/tex]

Answer:

4x² - 24x + 1

Step-by-step explanation:

[tex]\frac{16x^{4}-24x^{3}+3}{4x^{2}+3}[/tex]

~Factor out the denominator and apply quotient rule [ a^b / a^c = a^b-c ]

[tex]4x^{2}+3 (\frac{\frac{16}{4} x^{4-2}-24x^{3-2}+\frac{3}{3} }{1})[/tex]

[tex]\frac{4x^{2}-24x+1}{1}[/tex]

~Divide everything by 1

[tex]4x^{2} -24x+1[/tex]

Best of Luck!

A) diameter = radius x 2

Diameter = 4,000 miles x 2 = 8,000 miles

B) distance around the Earth is the circumference.

Circumference = pi x diameter

Circumference = 3.14 x 8,000 = 25,120 miles

Answer:

x = 12

Step-by-step explanation:

27 + 3x - 1 = 5x + 2

27 + (3x - 3x) - 1 = (5x - 3x) + 2

27 - 1 = 2x + 2

26 = 2x + 2

(26 - 2) = 2x (+ 2 - 2)

24 = 2x

24/2 = 2x/2

12 = x

x = 12

Answer:

Parallel lines

Step-by-step explanation:

Answer:

as mentioned

JT=3x+5--------> (1)

CT=69----------> (2)

CJ=4x+8-------> (3)

Now,

JT=CT-CJ

3x+5 = 69 - (4x+8)

3x+5=69-4x-8

3x+5=61-4x

taking variables to one side.

3x+4x = 61-5

7x = 56

x = 56/7

x=8

put value of x in  (1)

JT=3(8) + 5

JT= 24+5

JT=29

Step-by-step explanation:

Answer:

Kayleigh Did u at least try Before u asked for help because u do know that u can always retake it multiple time I know because I have all 3 boxes filled in purple from just retaking it after I studied the answer.  

Step-by-step explanation:

So first just try doing it and then retaking it.

Answer:

distributive property

Answer:

B)

1400m

1900m

2480m

C)

90cm

7.5cm

4.8cm

Answer:

1/3

Step-by-step explanation:

The left side of Figure A is 6 units long

The left side of Figure B is 2 units long

6 * what = 2

Divide each side by 6

what = 2/6

what = 1/3

The scale factor is 1/3

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Figure A has a base of [tex]6[/tex] units.

Figure B has a base of [tex]2[/tex] units.

So, 6 * [tex]x[/tex] (the scaled factor) = 2 which simplified is [tex]6x=2[/tex].

Now, we divide 6 on both sides giving us [tex]x = \frac{2}{6}[/tex] which can be further simplified into [tex]\frac{1}{3}[/tex]

Answer:

713.65 = (7 x 100) + (1 x 10) + (3 x 1) + (6/10) + (5/100)

Step-by-step explanation:

Step-by-step explanation:

the answer is in the image above

Answer:

-3

Step-by-step explanation:

Plug in x = -3

5(-3) - 4[7+(2(-3)-4)]

We'll use order of operations (PEMDAS) from here on out.

Evaluate what is in the innermost parentheses first (2(-3) - 4: the parentheses inside of the brackets). We first multiply 2 * -3, then subtract -4.

2(-3) - 4 = -6 - 4 = -10

So the whole expression becomes

5(-3) - 4[7+ -10]

Now evaluate what is in brackets.

5(-3) - 4[-3]

Multiplication next, before addition.

-15 + 12

Finally, addition

-3

The answer would be .090

Answer:

x = -1

Step-by-step explanation:

[tex]10 - 7x - 5 + 12x = 0[/tex]

➡️ [tex]5 - 7x + 12x = 0[/tex]

➡️ [tex]5 + 5x = 0[/tex]

➡️ [tex]5 + 5x - 5 = 0 - 5[/tex]

➡️ [tex]5x = 0 - 5[/tex]

➡️ [tex]5x = - 5[/tex]

➡️ [tex]5x \div 5 = - 5 \div 5[/tex]

➡️ [tex]x = - 5 \div 5[/tex]

➡️ [tex]x = - 1[/tex]

Answer:

Step-by-step explanation:

PLS MARK ME BRAINLEIEST AND FLW ME

[tex]\\ \rm\longmapsto (x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]\\ \rm\longmapsto (x,y)=\left(\dfrac{3+3}{2},\dfrac{6-2}{2}\right)[/tex]

[tex]\\ \rm\longmapsto (x,y)=\left(\dfrac{6}{2},\dfrac{4}{2}\right)[/tex]

[tex]\\ \rm\longmapsto (x,y)=(3,2)[/tex]

Answer:

Rule for rotation 90 clockwise about the origin:

Apply to the given points:

Rule for rotation 180 about the origin:

Apply to the given points:

Answer:

a^5x^5, 10a^5x^4, 40a^5x^3

Step-by-step explanation:

Use pascal's triangle for the first one

(2+x)^5 * a^5

= x^5a^5 + 5*2^1*x^4*a^5 + 10*2^2*x^3*a^5 ...

= a^5x^5 + 10a^5x^4+ 40a^5x^3 ...

Answer:

-2 3/5

Step-by-step explanation:

that is the answer yep