Pls Help. I'm stuck. And this is the Course Challenge

9514 1404 393

Answer:

  (4x +5)

Step-by-step explanation:

The square of a binomial is ...

  (a +b)² = a² +2ab +b²

We assume that the given trinomial is a perfect square, so we can find the terms of the squared binomial by looking at the square roots of the first and last terms:

  √(16x²) = 4x

  √25 = 5

So, our first choice of side length for the square is ...

  s = (4x +5) . . . . . side length of the square

__

Using the above identity, we can verify that the square of this gives the right area:

  A = s² = (4x +5)² = (4x)² +2(4x)(5) +5²

  A = 16x² +40x +25 . . . . . . as required

Answer:

It would take x = 72 minutes to drain the pool.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

[tex]y = mx+b[/tex]

where m is the rate of change or slope and b is the y-intercept

As the height of the water of the pool is 36 inches, meaning the basic condition of the pool states that the ground pool is 36 inches.

Thus,

As the water drains, the height of the water changes at a rate of -1/2 inch per minute.

Thus, using the equation

[tex]y = mx+b[/tex]

substituting m = -1/2 and b = 36

[tex]y\:=\:-\frac{1}{2}x+36[/tex]

We know that when the pool drains, the height of water reduces to zero.

Thus, substituting y = 0 in the equation

[tex]0=-\frac{1}{2}x+36[/tex]

switching sides

[tex]-\frac{1}{2}x+36=0[/tex]

subtract 36 from both sides

[tex]-\frac{1}{2}x+36-36=0-36[/tex]

[tex]-\frac{1}{2}x=-36[/tex]

Multiplying both sides by -2

[tex]\left(-\frac{1}{2}x\right)\left(-2\right)=\left(-36\right)\left(-2\right)[/tex]

[tex]x=72[/tex]

Therefore, it would take x = 72 minutes to drain the pool.

Answer:

Image below

Step-by-step explanation:

Graph of a Line Given Two Points

We are given the points (1,5/2), (-1/2,-1/4).

A straight line is entirely defined by two points. We have to plot them and join them with a straight line ending in arrows.

The point (1,5/2) is converted to decimal as (1,2.5)

The point (-1/2,-1/4) is also converted to decimal: (-0.5,-0.25)

This helps to define the divisions of each axis and properly draw the line.

Please refer to the image below.

Answer: 122 months.

Step-by-step explanation: The first step is to calculate the minimum monthly payment using the debt balance of $75,000 and 12% APR compounded monthly,which = $75,000 × 12% / 12 = $750 . The second step is to use the same $750 as payment, and using a discount rate of 4%/12, calculate the number of months required to pay off the present value (PV) of $75,000 , which = 122 months.

Answer:

Subtract 5 from both sides.

Step-by-step explanation:

Answer:

C. subtract 5 from both sides.

Step-by-step explanation:

when solved, its y=7

Answer:

Lily read 53 books

Step-by-step explanation:

78-25=53

Hope this helps!       :3

Plz mark as brainliest!

Answer:

a) <CA

b) im not sure about this one

Step-by-step explanation:

Answer:

2.861

Step-by-step explanation:

Step-by-step explanation:

A line graph, or a number line, has the numbers on different points along the graph. It's a little hard to explain since I can't draw one, but for x>=6, jut plot 6 on the number line as normal. Then since it could be equal to six, put a closed  circle (if it wasn't equal to then it would be an open circle).

Now since x is greater than, draw an arrow to the right (since the numbers increase the farther right you go). The follow the same idea for the other one.

Answer:

Look at the Picture.

Step-by-step explanation:

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

Since the greater than sign is used, the circle will be filled in.

Since x is greater than the number, the line arrow will go in the direction of the number that is greater than it.

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

#teamtrees #WAP (Water And Plant)

Answer:

length: 20m

width: 10m

(or vice versa)

Step-by-step explanation:

By substituting each of the values (20 meters for length and 10 meters for width), you will receive answers that satisfy each of the given traits of the rectangle:

200=20x10

200=200

60=2(20)+2(10)

60=40+20

60=60

You can model the situation you described as

[tex]y=125+5x[/tex]

Where [tex]y[/tex] represents the money spent, and [tex]x[/tex] the number of uses.

The [tex]y[/tex] intercept is 125, which represents the money spent without using the club even once. In fact, to find it you set [tex]x=0[/tex], i.e. zero usage.

Answer:

Step-by-step explanation:

It is H

        Function for the graph of the parabola given in the picture attached will be Option (H). f(x) = x² - 6x

          y = a(x - h)² + k

          Here, (h, k) is the vertex of the parabola

Given in the graph,

Equation of the graph with vertex (3, -9) will be,

y = a(x - 3)² - 9

Since, the parabola passes through (0, 0),

0 = a(0 - 3)² - 9

0 = 9a - 9

a = 1

Substitute the value of 'a' in the equation of the parabola,

y = 1.(x - 3)² - 9

y = x² - 6x + 9 - 9

y = x² - 6x

      Hence, the function representing the graph will be f(x) = x² - 6x

Learn more to get the equation of a parabola here,

https://brainly.com/question/22649174?referrer=searchResults

9514 1404 393

Answer:

Step-by-step explanation:

I find it easiest to match the patterns. You could also work this by finding inverse functions.

1.

  [tex]y=u^{-1/2}\\\\y=\dfrac{1}{\sqrt{u}}=\dfrac{1}{\sqrt{x+14}}\\\\u=x+14 \qquad\text{match radical contents}[/tex]

__

2.

  [tex]y=8\tan{u}=8\tan{(\pi x^5)}\\\\u=\pi x^5 \qquad\text{match tangent arguments}[/tex]

Answer:

It would be a

Step-by-step explanation:

the difference is 4/8 but simplified it is 1/2

The value of -4² + (5-2) (-8) is -34.

Integers come in three types:

Given:

We have expression as -4² + (5-2) (-8)

Now, solving the terms in the expression

-4² = -(4 x 4)= -16

and, (5-2) (-6)

= 3 (-6)

= -18

So, the value of -4² + (5-2) (-6)

= -16 - 18

= -34

Learn more about Integer here:

https://brainly.com/question/15276410

#SPJ1

Answer:

on the third number it says 344,636 and there is a double 4

Answer:

13

Step-by-step explanation:

Sorry im in 5th grade.

Answer:

16 students

Step-by-step explanation:

48+64=112

the highest number that can go into 112 equally is 16 so htere would be 7 rows and 16 students in each row

Answer:

see below

Step-by-step explanation:

5/6 × 1/5= 1/6

Rewrite the fractions

5/5 * 1/6 = 1/6

1 * 1/6 = 1/6

1/6 = 1/6

Answer:

below

Step-by-step explanation:

[tex] \frac{5}{6} \times \frac{1}{5} [/tex]

divided 5 by 5

[tex] 5 \div 5 = 1 [/tex]

multiply 1 by 1/6

[tex] 1 \times \frac{1}{6} [/tex]

hence,

[tex] = \frac{1}{6} [/tex]

Answer:

With what? there is nothing here

Step-by-step explanation:

Answer:

For A it is 0,5

For B it is 1,3

For C it is 4,3

Answer:

3

Step-by-step explanation:

2/(2/3)=(2/1)/(2/3)=(2/1)(3/2)=6/2=3

Answer:

3, I think (hope this helps)

Step-by-step explanation:

Answer:

x is equal to 19/5 which can also be expressed as  [tex]3\frac{4}{5}[/tex], or 3.8

Step-by-step explanation:

[tex]3x - 2/4 - 2x - 5/3 = 1 + x/6\\\\x - x / 6 = 1 + 2/4 + 5/3\\\\5x/6 = 6/6 + 3/6 + 10/6\\\\\frac{5}{6}x = 19/6\\\\x = \frac{19}{6} * \frac{6}{5}\\\\x = \frac{19}{5}[/tex]

Answer:

x = 12

Step-by-step explanation:

Solve:

[tex]\displaystyle \frac{3x-2}{4}-\frac{2x-5}{3}=\frac{1+x}{6}[/tex]

To eliminate denominators, we multiply all terms by the LCM of 4,3, and 6 = 12.

Multiply by 12:

[tex]3(3x-2)-4(2x-5)=2(1+x)[/tex]

Operating:

[tex]9x-6-8x+20=2x+2[/tex]

[tex]9x-8x-2x=6-20+2[/tex]

Simplifying:

-x=-12

x = 12

Step-by-step explanation:

4 + 9 = 3 ^ {2}

13=3^{2}

13=9

Answer:

a. <

b. =

c. =

d. >

these are correct I guess

Answer:

the mean number is 2.7

Step-by-step explanation:

if you add up the frequency of books then divide by 20 you get 2.7