Order the steps to solve the equation log(x2 - 15) = log(2x) form 1 to 5.
x² – 2x - 15=0
Potential solutions are -3 and 5
x² – 15 = 2x
X-5 = 0 or x + 3 = 0
(x - 5)(x + 3) = 0

Answer: See explanation

Step-by-step explanation:

Your question isn't complete but I'm guessing you want to know the number of people that had more than one hour of homework. This will be:

= 1/5 × 25

= 5 people

Those that have less than one hour of homework will be:

= 25 - 5

= 20 people

Every non-zero complex number has three cube roots. In general, any non-integer exponent, like  

1

3

here, gives rise to multiple values. The way we find them is by multiplying  

z

by 1 before exponentiating. We write  

1

using Euler's Identity to the  

2

k

power for integer  

k

. That's

Answer:

28.27

Step-by-step explanation:

Answer:

x=40

Step-by-step explanation:

x + 320 = 360

   -320     -320

x            =  40

Answer:

x=40

Step-by-step explanation:

So, since the figure has 4 sides, we know that the sum of the interior angles is 360. To check: (n-2)*180=(4-2)*180=28180=360.

That means x equals 360 minus the sum of the other three angles.

100+120+100=320

360-320=40

x=40 degrees

Answer: 88.8 m , 59.2 m

Step-by-step explanation:

Given

Breadth is [tex]\frac{2}{3}[/tex] of length

Suppose length is x m

So, breadth is   [tex]\dfrac{2}{3}x[/tex]

Perimeter is given by [tex]P=2(L+W)[/tex]

Putting values

[tex]\Rightarrow 296=2(x+\dfrac{2}{3}x)\\\\\Rightarrow 296=2(\dfrac{5}{3}x)\\\\\Rightarrow x=\dfrac{296\times 3}{10}=88.8\ m[/tex]

Length L is [tex]88.8\ m[/tex]

width W is [tex]\frac{2}{3}x=59.2\ m[/tex]

Answer:

x = 3 or x = 8

Step-by-step explanation:

Answer:

70 degrees

Step-by-step explanation:

Moving from one hour number to the next (12 to 1, 3 to 4, etc) moves the hand of the clock 30 degrees. Using this, we know that the hour hand moved 60 degrees to get to the hour number 2. Then, the angle the hour hand moved because of the minute hand can be calculated by doing (20/60)*30=10. So the final answer would be 70 degrees.

Answer:

4

Step-by-step explanation:

Answer

C = 4

Step by Step

Divide both sides by the numeric factor on the left side, then solve.

c  =  4

Answer:

15°

Step-by-step explanation:

Total degrees of a triangle is 180°

Angle 1: ?

Angle 2: 81°

Angle 3: 84°

180°- 81°- 84° = 15°

Answer:

9x/4 + 30 + 5x/4

Step-by-step explanation:

[tex]9x/4 +30 +5x/5[/tex]

The simplification of the expression (9/4x + 6) - (- 5/4x - 24) will be 3.5x + 30.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expression is given below.

⇒ (9/4x + 6) - (- 5/4x - 24)

Simplify the expression, then we have

⇒ (9/4x + 6) - (- 5/4x - 24)

⇒ (9/4)x + 6 + (5/4)x + 24

⇒ (14/4)x + 30

⇒ 3.5x + 30

The simplification of the expression (9/4x + 6) - (- 5/4x - 24) will be 3.5x + 30.

More about the simplification link is given below.

https://brainly.com/question/12616840

#SPJ2

Answer:C

Step-by-step explanation:

I put it in Desmos calculator and he can only jump 351 ft high

Answer:

2/3

Step-by-step explanation:

negative divided by a negative is positive

Answer:

D. 2/3

Step-by-step explanation:

The y increases by 2 every time the x increases by 3. Use rise over run.

Answer:

they are all even numbers except for 155

Step-by-step explanation:

Answer:

x=-7

Step-by-step explanation:

7x2-x=7

7x2=14.

14-x=7

When you finished the last step, you will subtract 14 to both sides.

14-x=7

14-14-x=7-14

this will cancel out the 14 on the left.

And will leave you with:

-x=7-14

7-14 is -7.

and this will get you to

-x=-7

To finish this off, you have to turn the negative x/variable, into a positive x/variable.

So, you will divide both sides of the equation by the same term.

-x = -7

into

[tex]\frac{-x}{1} =\frac{-7}{1}[/tex]

and it will be -7.

I hope this helps      :)

Answer:

Step-by-step explanation:

Friend runs 32/2=16 miles per week

You run 24/3=12 miles per week

Your friend runs (16-12)=4 more miles than you each week.

Answer:

o

Step-by-step explanation:

Answer:

[tex]2^x-4=32\quad :\quad x=\frac{2\ln \left(6\right)}{\ln \left(2\right)}\quad \left(\mathrm{Decimal}:\quad x=5.16992\dots \right)\\\\2^x-4=32 \\\mathrm{Add\:}4\mathrm{\:to\:both\:sides}\\2^x-4+4=32+4\\\mathrm{Simplify}\\2^x=36\\\\apply exponential rule\\x\ln \left(2\right)=\ln \left(36\right)\\x\ln \left(2\right)=\ln \left(36\right)\\x=\frac{2\ln \left(6\right)}{\ln \left(2\right)}[/tex]

hope it helps:)

Answer:

46

explanation:

its supposed to make up 180 so you will subtract 180 from 134 and thats your answer

Step-by-step explanation:

The answer is letter B. $240

Answer:b

Step-by-step explanation:

i toke quiz and got a 100

Answer:

4.5 x 14 = 63

Explanation:

The area of a parallelogram is the product of any base and the altitude to that base: A = bh.

Answer:

can you show it a bit closer?! i cant read it

Step-by-step explanation:

Answer:

y=4x-8

Step-by-step explanation:

1) The slope-intercept form of an equation looks like this:

y=mx+b

The m stands for the slope and the b stands for the y-intercept. We need two points on the line to write out this equation.

2)We have the slope you entered in, so we'll plug that in first:

y=4x+b

3) Now, let's plug in that point you entered in to solve for b:

​ y=4x+b

8=4(4)+b

8=16+b

8-(16)=b

-8=b

4) Now that we have both our slope, m, and our y-intercept, b, values, we can plug them in to get our equation:

y=mx+b

y=4x-8

​  

Answer:

sinB

Step-by-step explanation:

Using trigonometric sum/difference rule -

we can expand the expression to

= (sinAcosB + cosAsinB)cosA - (cosAcosB - sinAsinB)sinA

= cosAsinAcosB + cos^2(A)sinB - sinAcosAcosB + sin^2(A)sinB

= cos^2(A)sinB + sin^2(A)sinB

= (cos^2(A) + sin^2(A))sinB, (Pythagorean identity)

= (1 * sinB)

= sinB

Answer: 9.2

Step-by-step explanation:

d = sqrt ((x2-x1)^2 (y2-y1)^2)

d = sqrt (85)

d = 9.219544

Answer: 2/7 = 8/28

1/4 = 7/28

Therefore Mr Pham mowed more.

8+7 = 15 so 15/28 of lawn has been mowed, therefore 13/28 of the lawn is left still to be mowed.

Mr. Pham mowed more of the lawn than his son.

it still needs ¹³/₂₈ of the lawn to be mowed.

Step-by-step explanation:

Answer: 1/4 is greater than 2/7 mowed most of the lawn.

Step-by-step explanation:

First, draw a fraction model for [tex]\frac{2}{7}[/tex] and [tex]\frac{1}{4}[/tex] and partition it. Then, how ever many you get write it as a fraction. Then, see whose answer is greater.

Answer:

85x85x245

Step-by-step explanation:

Answer:

#1

#2

#3

Answer:

b^2-4b+3=0

b²-3x-b+3=0

b(b-3)-1(b-3)=0

(b-3)(b-1)=0

either

b=3 or b=1

.

2n^2 + 7 = -4n + 5

2n²+4n+7-5=0

2n²+4n+2=0

2(n²+2n+1)=0

(n+1)²=0/2

:.n=-1

.

x - 3x^2 = 5+ 2x - x^2

0=5+ 2x - x^2-x +3x^2

0=5+x+2x²

2x²+x+5=0

comparing above equation with ax²+bx +c we get

a=2

b=1

c=5

x={-b±√(b²-4ac)}/2a ={-1±√(1²-4×2×5)}/2×1

={-1±√-39}/2

Answer:

The volume of the cone is 1357.168026

Step-by-step explanation:

Answer:

y = -14

Step-by-step explanation:

3y = -42

Divide both sides by 3:

y = -14

Answer:

-14

Step-by-step explanation:

-42 divided by 3 =-14

Answer:

7x^3-7x^2+14x

Step-by-step explanation: hope I helped

Answer:

Step-by-step explanation:

The ratio of corresponding sides of similar figures is same:

Answer: x=10

Step-by-step explanation: correct test results