Work Out (10-3x2) to the power of two

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:

[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]

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:

https://brainly.com/question/1649593

Step-by-step explanation:

The mode is 7 because it is 5 times

Answer: A

Step-by-step explanation:

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

Answer:

cos is used if there is adjacent and hypotenuse

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= -5

Step-by-step explanation:

Vertical lines go up and down so they have the same x value

x= -5

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:

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:

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!

:)

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.

Learn more about coplanar figure from

https://brainly.com/question/9047265

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:

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:1. $5760

Step-by-step explanation:

Answer:

the answer is 1,200 thats what i got

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:

 2 • (x2 - 2y)

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 2x2 -  4y

Step  2  :  See below

Step  3  :  See below

Pulling out like terms :

3.1     Pull out like factors :

Answer:  2 • (x2 - 2y)

Hope this helps.

Answer:

6.8=x

Step-by-step explanation:

3x=20.4

x-6.8

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

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

Easy claps

Answer: slope=3 and point is (5,6)

Step-by-step explanation: It's just basic prealgebra!

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: [tex]\frac{2A}{h} = w[/tex]

Step-by-step explanation:

The formula for area of a triangle is [tex]A = wh\frac{1}{2}[/tex]

Now we have to isolate for w.

First multiply by the 2 which is the reciprocal of 1/2 to cancel it out.

[tex]2A = wh\\[/tex]

Now divide by h to isolate w.

[tex]\frac{2A}{h} = w[/tex]

Answer:

32 chairs

Step-by-step explanation:

In the soft Boulder cafe they a chairs , table and customers and the 3 members staffs.

Each Table = 3 legs

Each Chairs = 4 legs

Each customer  = 2 legs

Each members of staffs = 2 legs

4 chairs goes with each table. This means 4 × 4 = 16 legs of chairs for each 3 legs of table.

At a certain time 3/4 of the chairs are occupied by customers. That is 3 out of 4 chairs are occupied plus 6 tables . Therefore,

3 + 16 + 6 = 25 legs of table

206 legs altogether - the 6 legs of the staff(3 staffs has 6 legs)= 200 legs

This means 200 legs = 8 tables. Therefore,

8 tables requires 32 chairs

Answer:

X < -0.84

Step-by-step explanation:

Answer: divide by 3.14

Step-by-step explanation:

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:

its 4-!

Step-by-step explanation:

trust me on this

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:

here they are.

Step-by-step explanation:

Ok so the mean is the average of all the data. So we add up all the numbers, then divide that by the quantity of numbers.

For week one, thats 48,52,52,53,60,63,65 which equals 393, then we divide that by 7, and get 56.142857142857, so we round that to 56.1

Week 2 is 54,55,56,59,60,62,63 which is 409 divided by 7, and thats 58.428571428571 rounded is 58.4

Next up is the MAD (mean absolute deviation) thats the average distance between each value and the mean.

Week 1 MAD: 5.5918367346939 5.5

Week 2 MAD: 2.9387755102041 2.9

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!