Alina and Skyla are both solving the equation 2x = 128.

Alina knows the solution to the equation because she knows a power of 2 that equals 128.

Skyla does not know a power of 2 that equals 128, so she graphs two equations, y = 2x and y = 128.

Use the drop-down menus to complete the explanation about how Skyla can use her graph to solve the equation 2x = 128.

The description that best describes coplanar figures is that  they are contained in the same plane.

This is referred to as the points or lines that are known to be or lie on the same kind of plane.

Note that if for example, points P , Q , and S lie in the same plane C, then they are coplanar and thus The description that best describes coplanar figures is that  they are contained in the same plane.

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Answer:1. $5760

Step-by-step explanation:

Answer:

the answer is 1,200 thats what i got

Step-by-step explanation:

Answer:

x² + x - 8

Step-by-step explanation:

(f . g)(x) is same with (f(g(x))

so insert the g(x) equation into f(x) and change the x on it

f(g(x)) = g(x) - 2

f(g(x)) = (x² + x - 6) - 2 = x² + x - 6 - 2 = x² + x -8

so

(f.g)(x) is x² + x - 8

Answer:

Option 2: 5x - 3y = 30

Step-by-step explanation:

Step 1: Find slope

(0-(-5))/(6-3) = 5/3

Step 2: Find b

y = 5/3x + b

0 = 5/3(6) + b

b = -10

Step 3: Write in slope-intercept form

y = 5/3x - 10

Step 4: Move x over

-5/3x + y = -10

Step 5: Multiply by -3 on both sides

5x - 3y = 30

And we have our final answer!

Answer:

As a relation between height and hypotenuse in right triangle GHJ, we have:

HK^2 = KG x KJ

=> HK = sqrt(KG x KJ) = sqrt(2 x 8) = sqrt(16) = 4

Hope this helps!

:)

Answer:

Peter is 20 years old

Step-by-step explanation:

John= 2(Peter's age) (j=2p)

Peter= (Alice's age + 5) (P= A+5)

Okay, so let's substitute the equations now:

John= 2(Alice + 5)

So the equation for 5 years from now is:

2(A+5) + 5 = 3a (because he is 3 times as old as alice)

so, let's solve for that equation:

2a + 10 + 5 = 3a

subtract 2a from both sides:

15= a

so, Alice is going to be 15 years old, so now we can solve for Peter's age:

P= A + 5

P= 15 + 5

P = 20

Peter is 20 years old

I hope this helps! :)

Answer:

X < -0.84

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x + 11x - 3 = 0

15x = 3

x = 5

5 is a zero of f(x).

On the graph of f(x), zeros represent the intercepts of the function with the y-axis.

Answer:

x = 8

Step-by-step explanation:

[tex] {25}^{(x - 20)} = \frac{1}{ {125}^{x} } \\ \\ {5}^{2(x - 20)} = \frac{1}{ {5}^{3x} } \\ \\ {5}^{2x - 40} = {5}^{ - 3x} \\ \\ 2x - 40 = - 3x ..(bases \: are \: equal \: \\ therefore \: exponents \: will \: also \: be \: equal)\\ 2x + 3x = 40 \\ 5x = 40 \\ x = \frac{40}{5} \\ \huge \purple{ \boxed{ x = 8}}[/tex]

Answer:

its 4-!

Step-by-step explanation:

trust me on this

Answer:

Yes, because the median test score increased 5 points.

Step-by-step explanation:

Answer:

Yes, because the median test score increased 5 points

good luck and have a great day

Answer: A

Step-by-step explanation:

Using sohcahtoa you can figure out that the missing side length is 5.98 :)

Answer:

4 >x

Step-by-step explanation:

3(x + 6) – 2(x – 4) > 5(x + 2)

Distribute

3x+18 -2x+8 > 5x+10

Combine like terms

x +26 > 5x+10

Subtract x from each side

x+26-x > 5x-x+10

26 > 4x+10

Subtract 10 from each side

26-10 >4x+10-10

16 >4x

Divide each side by 4

16/4 >4x/4

4 >x

Answer:

81 - x^2

Step-by-step explanation:

this is a "special product," namely, the product of the sum and the difference of quantities 9 and x.

The product is the difference of two squares:

(9 + x)(9 - x) = 81 - x^2

Answer:

d 1.75

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

cause that was the best option the other choice are all far away from between 0 and 1

Answer:

C. Multiply her answer by –6 and see if the result is –108.

Step-by-step explanation:

Answer:

The answer is c

Step-by-step explanation:

hope this helps c:

Answer: divide by 3.14

Step-by-step explanation:

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

So, let's start off with h

The expression needs to be '3 more than h'

This can be written as:

h + 3

The expression also needs to be 'five times' this value

This can be written as:

5(h + 3)

That would be your answer ^^

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

｡☆✼★ ━━━━━━━━━━━━━━  ☾

Answer:

Step-by-step explanation: Let the number be x

                                             5 times x = 3-h

                                             5x =3-h

Answer:

The answer is

[tex]c = \frac{3m + 5k}{2} [/tex]

Step-by-step explanation:

You have to move all the unrelated terms to the other side :

[tex]3m = 2c - 5k[/tex]

[tex]3m + 5k = 2c[/tex]

[tex]2c = 3m + 5k[/tex]

Next you have to divide it by 2 :

[tex]c = \frac{3m + 5k}{2} [/tex]

Answer:

-5x^4y^3

Step-by-step explanation:

so you divide -25 by 5 and the rule is if it is division for exponents then you subtract the exponent so 6-2=4, 7-4=3, 3-3=0. z^0 is 1 so we don't have to write it out.

Answer:

x = -8

Step-by-step explanation:

6x - 3 = -51

Add 3 to each side

6x - 3+3 = -51+3

6x = -48

Divide each side by 6

6x/6 = -48/6

x = -8

Answer:

x = -8

Step-by-step explanation:

[tex]6x - 3 = -51?\\To - find-x- collect-like-terms.\\6x=-51+3\\6x =-48\\Divide-both-sides-of-the-equation-by-6\\\frac{6x}{6} = \frac{-48}{6} \\x = -8[/tex]

Answer:

A: 120

Step-by-step explanation:

5! means 5 factorial

the factorial of a number is the number times every whole number until 1

in this case,

5 * 4 * 3 * 2 * 1

5 * 4 = 20 , 3 * 2 * 1 = 6

20 * 6 = 120 (option A)

If this helps. please consider giving me brainliest.

Answer:

a 120

Step-by-step explanation:

Answer:

The initial value of the boat was $20,000

The percent decrease per year of the value of the boat is 10%.

The interval on which the value of the boat is decreasing while Harry has it is (0,10)

Step-by-step explanation:

It is given that the boat costs $20,000 in 2010 when x = 0. So, the initial value of the boat was $20,000.

Next, find the percent decrease per year of the value of the boat. Consider the general form of an exponential equation, y = a(b)x, where a is the initial value of the boat, b is the base of the exponent, x is the number of years after 2010, and y is the value of the boat, in dollars.

Consider the point (1 , 18,000) which lies on the graph of this situation. Substitute x = 1, y = 18,000, and a = 20,000 into the exponential equation and isolate b.

Recall that for exponential decay, b = 1 - r where r represents the decay rate. Substitute b = 0.9 into this equation and solve for r.

So, the decay rate is 0.1, and the percent decrease per year of the value of the boat is 10%.

Harry bought the boat in 2010, and plans on selling it after 10 years in 2020. Therefore, the interval on which the value of the boat is decreasing while Harry has it is [0, 10].

Answer: the sum of their measures is 180 degrees

Step-by-step explanation:

I just got it right

The angles R T S and Q T P are vertically opposite angles. So that they always have equal measures.

In given circle, T is center of circle .

and RP and SQ are diameter of circle which are intersecting at center T.

The diagram of circle is attached below.

In the diagram of circle, Angles R T S and Q T P are congruent.

So that,  [tex]\angle RTS=\angle QTP\\\\[/tex]

Since, both diameter are crossing each other.

So that, Angles R T S and Q T P are vertically opposite angles.

Therefore, they always have equal measures.

Learn more about the diameter of circle here:

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Answer:

6.8=x

Step-by-step explanation:

3x=20.4

x-6.8

Answer:

Step-by-step explanation:

16

Answer:

1/2

Step-by-step explanation:

For each two units that this line moves to the right, it rises one. This means that it has a slope of 1/2. Hope this helps!

Answer:

8/45

Step-by-step explanation:

4/9 ÷5/2

Copy dot flip

4/9 * 2/5

Multiply the numerators

8

Multiply the denominators

45

Put the numerator over the denominator

8 /45

Answer:

[tex] = \frac{8}{45} [/tex]

Step-by-step explanation:

[tex] \frac{4}{9} \div \frac{5}{2} \\ \frac{4}{9} \times \frac{2}{5} \\ = \frac{8}{45} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

[tex]f(x) = -2(x - 4)^2 -3[/tex]

Vertex = (4, -3)

Graph in the image attached, additional points:

(2, -11), (3, -5), (5, -5), (6, -11)

Step-by-step explanation:

The vertex of f(x) can be found using the formula:

[tex]x_{vertex} = -b/2a[/tex]

[tex]x_{vertex} = -16 / (-4)[/tex]

[tex]x_{vertex} = 4[/tex]

to find y_vertex, we use x_vertex in f(x):

[tex]f(x_{vertex}) = -2 * 4^2 + 16*4 - 35[/tex]

[tex]f(x_{vertex}) = -3[/tex]

So the vertex is (4, -3)

To write the function in the form [tex]f(x)=a(x-h)^2+k[/tex], we just need to calculate h = -b/2a and then find k:

[tex]h = -b/2a = -16/(-4) = 4[/tex]

[tex]f(x) = -2(x - 4)^2 + k = -2(x^2 - 8x + 16) + k = -2x^2 + 16x - 32 + k[/tex]

Comparing both forms of f(x), we have:

[tex]-32 + k = -35[/tex]

[tex]k = -3[/tex]

So we have:

[tex]f(x) = -2(x - 4)^2 -3[/tex]

Now let's find the four additional points.

Two points to the left: x = 3 and x = 2

[tex]f(3) = -2 * 3^2 + 16*3 - 35 = -5[/tex]

[tex]f(2) = -2 * 2^2 + 16*2 - 35 = -11[/tex]

Two points to the right: x = 5 and x = 6

[tex]f(5) = -2 * 5^2 + 16*5 - 35 = -5[/tex]

[tex]f(6) = -2 * 6^2 + 16*6 - 35 = -11[/tex]

slope = 1/2,  y intercept = 3

==============================================================

Work Shown:

Pick any two points you want on the line.

I'll pick the two points (0,3) which is the y intercept and also the point (2,4).

------

Find the slope of the line through (x1,y1) = (0,3) and (x2,y2) = (2,4)

m = (y2 - y1)/(x2 - x1)

m = (4 - 3)/(2 - 0)

m = 1/2 is the slope

slope = rise/run = 1/2

rise/run = 1/2 means rise = 1 and run = 2.

This means we go up 1 unit each time we move to the right 2 units.

-----

Since the slope is m = 1/2 and the y intercept is b = 3, we can say

y = mx+b

y = (1/2)x+3

this is the same as y = 0.5x+3 since 1/2 = 0.5