3. Find the solution set for this inequality:
-4(3x - 5) < 2(3x + 4)

At starting hot-air balloon starts 6 feet.

So, at t = 0 , h = 6 feet.

Now, distance travelled per minute is 20 feet.

So, extra distance travelled in t minutes is 20t feet.

Now,

Total height = Staring height + increase in height w.r.t time.

h = 6 + 20t

Therefore, the height h in feet as a function of time t in minutes is h = 6 + 20t .

Hence, this is the required solution.

Step-by-step explanation:

4ˣ + 2¹⁺²ˣ = 50

Rewrite 4 as a power of 2.

2²ˣ + 2¹⁺²ˣ = 50

Factor out 2²ˣ.

2²ˣ (1 + 2) = 50

2²ˣ = 50/3

Take log of both sides.

ln(2²ˣ) = ln(50/3)

Use exponent property.

2x ln 2 = ln(50/3)

Solve for x.

x = ln(50/3) / (2 ln 2)

Simplify.

x = ln(50/3) / (ln 4)

x ≈ 2.03

Answer:

6,0

Step-by-step explanation:

the dilation moves points from A to B

in this case we're moving point T

point T has coordinates 2,0 to start with (A)

Now let's move it to B

To do so, we need to apply the calculation

(x,y) => (3x,3y)

Substitute in point T:

(2,0) => (3x,3y)

(2,0) => (3(2),3(0))

(2,0) => (6,0)

Answer:

4.78 × 10^-6

Hope this helped :)

Answer: 4.78 × 10^-6

Step-by-step explanation:

Answer:

[tex]x^2-15x+56[/tex]

Step-by-step explanation:

Use the FOIL distributive method: [tex]\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]

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Thus, [tex]\left(x-7\right)\left(x-8\right)=x\times x +x\left(-8\right)+\left(-7\right)x+\left(-7\right)\left(-8\right)[/tex]

Multiply them to get:

[tex]x^2-8x-7x+56[/tex]

[tex]x^2-15x+56[/tex]

Answer:

what was the temperature at first?

Answer:

5x+3y, when x=4 and y= -3

5(4)+3(-3)=

20+ (-9)=

11

Step-by-step explanation:

Hope this helps. :)

Answer:

5x + 3y = 11

Step-by-step explanation:

x = 4 y = -3

=5x + 3y

=5(4) +3(-3)

=20 + (-9)

=11

When a number and variable are right beside each other it means that the number and the variable are being multiplied together, for example 5x. If x = 4 then it means that 5 and 4 are being multiplied.

(it might be wrong because I haven't done algebra in a long time)

☽------------❀-------------☾

Hi there!

~

The absolute value is the distance from 0 to 2.5. In this case the absolute value from 0 to |2.5| is 2.5

❀Hope this helped you!❀

☽------------❀-------------☾

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

c because she wants to spend less than 113 and if she sent 160 that would be 113 so has to be less

Step-by-step explanation:

113>97+.1x

16>.1x

160>x

Answer:hhhhds

Step-by-step explanation:

Answer:

59.322% or 59%

Step-by-step explanation:

devide 59,000 from 35,000 to get the answer.

After that, you will get 59% (rounded).

the answer is D (59.3%)

i jus got done takin the math quiz on knowledgematters

Answer:

They all have the passive word, "Visited," so that makes everything a bit more complicated. I can see why you asked the question. I'd go with C. Unless it's a trick question and you're supposed to see that or something.

Answer:

8

Step-by-step explanation:

1.) 9.6=1.2b

2.) 9.6/1.2=1.2b/1.2

3.)b=8

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{b = 8}}}}}[/tex]

Step-by-step explanation:

[tex] \star{ \sf{ \: \: \: 9.6 = 1.2b}}[/tex]

Swap the sides of the equation

[tex] \hookrightarrow{ \sf{1.2b = 9.6}}[/tex]

Divide both sides by 1.2

[tex] \hookrightarrow{ \sf{ \frac{1.2b}{1.2} = \frac{9.6}{1.2} }}[/tex]

Calculate

[tex] \hookrightarrow{ \bold{ \boxed{ \sf{b = 8}}}}[/tex]

The value of b is 8

Hope I helped!

Best regards! :D

~ TheAnimeGirl

Answer:

the answer is 6 just do the math and it's pretty easy

Steps to solve:

4 + (9 * 2) / (4 - 1) - 4

~Simplify what is in parenthesis

4 + (18) / (3) - 4

~Divide

4 + 6 - 4

~Add

10 - 4

~Subtract

6

Best of Luck!

Answer:

Step-by-step explanation:

x^4+6x^2-27=0

The two factors you need to use for 27 is 9 and 3.

Since the middle term must be plus then the 9 is also plus.

(x^2 + 9)(x^2 - 3)

x^2  + 9 can't be factored in the real number system.

x^2 - 3 = 0

(x + sqrt(3))(x^2 - sqrt(3))

The full factoring answer would be

(x^2+9)(x + sqrt(3))(x^2 - sqrt(3))

Answer:

The number is -12

Step-by-step explanation:

let the number = x

x/6 = -2

x = -2 x 6

x = -12

the number is -12

Answer:

(4* 1) + (9 * 1/10) + (2 * 1/1000)

Step-by-step explanation:

Given the figure : 4.902

Writw the figure above in expanded form:

4.902

Using the place value indicators :

Unit___tenth___hundredth___thousandth

4______9_______0___________2

Unit:

4 × 1

After the decimal point :

Tenth :

9 × 1/10 =

Hundredth :

0 * 1/ 100

Thousandth:

2 * 1/1000

Hence :

(4* 1) + (9 * 1/10) + 0 + (2 * 1/1000)

Answer:   B

Step-by-step explanation:

4x1+9x1/10+2x1/1000

[tex]-\frac{6}{5}(4 - x) \leq -4(x + \frac{1}{2} )[/tex]

Let's start off by distributing the [tex]-\frac{6}{5}[/tex] and -4

[tex]-\frac{24}{5} + \frac{6}{5}x \leq -4x - 2[/tex]

Add 4x and [tex]\frac{24}{5}[/tex] to both sides.

[tex]\frac{26}{5}x \leq \frac{14}{5}[/tex]

Divide both sides by [tex]\frac{26}{5}[/tex]

[tex]x\leq \frac{7}{13}[/tex]

Answer:

$7666.7

Step-by-step explanation:

1800 + 500 = 2300. That means that 30% = 2300. If u divide both sides by 3 then 10% = 766.67 times that by ten and then that will equal $7666.7

Answer:

1/2

Step-by-step explanation:

y =  kx

where k is the constant of proportionality

y = 1/2 x  so k= 1/2

Answer:

The maximum number of text messages you can send per month would be 23.

Step-by-step explanation:

1. First, you want to create an inequality from the word problem.  You know that $24.99 is a constant, so we won't put any variables next to it.  You also know that each text message is $0.17, so that would need a variable since it can change each month.  You also know that you can spend $29 maximum each month, so that goes on the other side of the inequality.  Your inequality will look like this:  0.17x+24.99≤29 (x is the number of text messages).

2. Second, you want to solve for x.  To do this, subtract 24.99 from each side.  After this, the equation is 0.17x≤4.01

3. Now, divide each side by 0.17.  Now your inequality is x≤23.59.  This represents how many text messages you can send per month without going over 29.

4. Finally, you have to realize that is impossible to send exactly 23.59 text messages.  So, you have to round down to 23 to get an even number of text messages, and that's your answer!

Hope this helps!  Feel free to ask any questions :)

Answer:

1) Take LCM

(147-2x)/3 = (192-x)/6

2) Cross multiply

882-12x= 576-3x

3) Rearrange

882-576= 12x-3x

306= 9x

x=306/9

x=34

Hope it helps :-)

Answer:

162

Step-by-step explanation:

30-3 = 27

6(27) = 162

Answer:

V/(2tr)=h

I think, its been a while since i had to do a problem like this