The first steps in writing f(x) = 3x2 – 24x 10 in vertex form are shown. f(x) = 3(x2 – 8x) 10 (startfraction negative 8 over 2 endfraction) squared = 16 what is the function written in vertex form? f(x) = 3(x 4)2 – 6 f(x) = 3(x 4)2 – 38 f(x) = 3(x – 4)2 – 6 f(x) = 3(x – 4)2 – 38

Answer:

Simplifying

2.5x + -5 = 5

Reorder the terms:

-5 + 2.5x = 5

Solving

-5 + 2.5x = 5

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + 5 + 2.5x = 5 + 5

Combine like terms: -5 + 5 = 0

0 + 2.5x = 5 + 5

2.5x = 5 + 5

Combine like terms: 5 + 5 = 10

2.5x = 10

Divide each side by '2.5'.

x = 4

Simplifying

x = 4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

2.5x-5=5

isolate the variable to find your answer

2.5x-5=5

      +5>+5

2.5x=10

divide by 2.5

10/2.5=4

x=4

Answer:

9(x-1)(x-1) or 9(x-1)²

Step-by-step explanation:

9x² - 18x + 9

factor out a 9

9(x² - 2x + 1)

use middle term factorization to factor x² - 2x + 1

9(x-1)(x-1) or 9(x-1)²

Middle term factorization explained:

For x² - 2x + 1, you want to find 2 numbers that multiply to +1 and add to -2. You then split x² to x and x and add the 2 numbers individually to x.

It should look something like (x+1st number)(x+2nd number)

the two numbers that multiply to get to 1 and add to get to -2 are -1 and -1

( -1 × -1 = 1 and -1 + -1 = 2 )

so we then add the number to the split x² to get (x-1)(x-1) which is the same as (x-1)², the 9 is then added to the factored form to get 9(x-1)(x-1) or 9(x-1)²

Answer:

15 days

Step-by-step explanation:

Since there are 5 cups and she eats it 1/3 times a day if you think about it, its like 5 times 3.

Answer: A

Step-by-step explanation:

Answer:

the answer for the first is 3/4

and the answer for the second is 2x/x+5

Step-by-step explanation:

it is a combination of a cone and half a sphere.

the volume of a cone is

ground area × height / 3

the ground area is a circle, so we have

pi×r²×h/3

in our case

pi×(10/2)²×12/3 = pi×5²×4 = pi×25×4 = 100pi

the volume of a sphere is

4/3 × pi×r³

and half a sphere is then

4/3 / 2 × pi×r³ = 4/6 × pi×r³ = 2/3 × pi×r³

in our case

2/3 × pi×5³ =2/3 × pi×125 = 250/3 × pi

together we get

100pi + 250/3 × pi = 300/3 × pi + 250/3 × pi =

= 550/3 × pi = 575.9586532... cm³ ≈ 576 cm³

if we use 3.14 for pi we get

575.6666666... cm³ ≈ 576 cm³

Answer:

K ∩ L = {a, e, i, n, q, t, u}

K ∪ L = {a, e, i, l, n, o, q, t, u, y}

Step-by-step explanation:

Write the sets in alphabetical order

K = {a, e, i, n, o, q, t, u}

L = {a, e, i, l, n, q, t, u, y}

Set of all values that are members of both sets:

K ∩ L = {a, e, i, n, q, t, u}

Set of all values that are members of K, or L, or both:

K ∪ L = {a, e, i, l, n, o, q, t, u, y}

Answer:

B

Step-by-step explanation:

Square both sides, and get s^2 = k3/p

next multiply both sides by p and get (s^2)(p)=k3

Therefore k3 equals s^2 times p

Answer:

19.51% or 8/41

Step-by-step explanation:

for the percentage i did :

82 divided by 100, multiplied by 16.

For the fraction:

original number(16/82) divided by 2

Answer: g, e

e. (-6,-5)

g. (-4,-4)

Step-by-step explanation:

    While we could plug in each value of data points to see if it solves correctly, a quicker way to solve this problem is to graph.

    The points that are a solution to the set are points in the area of overlap created by the two equations graphed. Points that are on a line in the overlap, but not over, are not a solution because the equations do not include "equal to."

   See attached for the graph.

The solution set of y < 1/2x - 1 and y > 2x + 3 are their true values

The solution set of the system of linear inequalities are (-6,-5) and (-4,-4)

The system of linear inequality is given as:

y < 1/2x - 1

y > 2x + 3

Start by plotting the graph of both inequalities

Because both inequalities do not have any form of equation i.e. ≤ and ≥, then only the points in the shaded area represents the solution set of the inequality.

The points in the shaded area are (-6,-5) and (-4,-4)

Other points are either outside the shaded area or on the line of the inequalities

Hence, the solution set of the system of linear inequalities are (-6,-5) and (-4,-4)

Read more about inequalities at:

https://brainly.com/question/18881247

the probability.

P(5 or 10 or 11 or 12)

= P(5)+P(10)+P(11)+P(12)

= 4/36+3/36+2/36+1/36

= 10/36

= 5/18

so, the correct answer is option C) 5/18.

Answer: 30 6/29

Step-by-step explanation: 6132 \ 203 is 30 and 42/203. 42/203 simplified is 6/29

Answer:c

Step-by-step explanation:

Answer:

(4,2)

Step-by-step explanation:

It's parallel, so all of them have to be on the same way.

The last point has to be at the same distance from the one right above it

Answer:

C. (4, 2)

Step-by-step explanation:

(x, y)

if you put the last dot on (4, 2) and connected all of them, it would create a perfect parallelogram

Answer:

→ Compare the 2 grade A's

School B's is higher

→ Compare the 2 grade B's

School B's is higher

→ Now formulate a brief response

School B has more entrants in the exam and therefore has a higher proportion of students achieving top grades

Answer: 1. Smaller than 8 SQUARE ft. 8 ft on one side and 7/8 ft one one side does NOT equal 8 square ft, it is less. It is actually 7ft. 2. 50,343 is the answer to the second question, so less than the number. Explanation: When you multiply a number by a fraction you get less than the number you started with.

Hope this helps

Answer:

7. Option 2 smaller than 8 sq.ft.

8. Less than 67.24

Step-by-step explanation:

7. the fraction 7/8 is proper, i.e. less than the unit, Any number multiplied by a proper fraction is less (reduced).

8. the same reason as the previous one, 3/4 is a proper fraction.

Hope this helps

Check the picture below.

so the volume is really just the product of the trapezoidal face and the length, and we know is 464.75 ft³.

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=5\\ b=8\\ a=5 \end{cases}\implies A=\cfrac{5(5+8)}{2}\implies A=\cfrac{65}{2}~ft^2 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\large volume of the prism}}{\stackrel{\textit{area of trapezoid}}{\left( \cfrac{65}{2} \right)} \stackrel{length}{(x)}}~~ = ~~464.75\implies \cfrac{65x}{2}=464.75 \\\\\\ 65x=(2)464.75\implies x=\cfrac{(2)464.75}{65}\implies x=14.3[/tex]

Answer:

RSTU is a parallelogram, quadrilateral, rectangle, rhombus, and square. NOT trapezoid.

Step-by-step explanation:

The shape has four sides, so it's a quadrilateral.

It has four equal sides so its a rhombus.

It has four right angles so its a rectangle.

It has four equal sides AND right angles so its a square.

And if all the sides are parallel (well, two pairs of parallel sides) its a parallelogram.

length= 9.1m

area= 473.2m^2

Substitute values for length (l) and breadth (b) into the perimeter formula.

473/9.1=52

perimeter of rectangle= l+l+b+b

=52+52+9.1+9.1

P=122.2m

Answer:

A us right of first one and d is the right of another one

Answer:

Step-by-step explanation:

The expanded form of 30 is 30+ 0. 2. How can write a 30 number in expanded fraction form? In the expanded fraction form, you can write 30 as (3 x 10) + (0 x 1).

Transforming the function f(x) would change its formula to g(x)

The transformation of f(x) to g(x) are

The function is given as:

f(x) = e^x

Shift the function 2 units left

f'(x) = e^x + 2

Shift the function 3 units up

f''(x) = e^x + 2 + 3

Rewrite as:

g(x) = e^x + 2 + 3

Hence, the transformation of f(x) to g(x) are (b) and (c)

Read more about transformation at:

https://brainly.com/question/4057530

Answer:

The volume is 110

Answer:

110

Step-by-step explanation:

10x2x5.5=110

The value of x in the equation [tex]64^{3x} = 512^{2x}[/tex] is infinite

The equation is given as:

[tex]64^{3x} = 512^{2x}[/tex]

Rewrite [tex]64^{3x}[/tex] and [tex]512^{2x}[/tex] in base 2

[tex]2^{6*3x} = 2^{9*2x}[/tex]

Evaluate 6 * 3x and 9 * 2x

[tex]2^{18x} = 2^{18x}[/tex]

By comparing the exponents, we have:

18x = 18x

Divide both sides by 18x

1 = 1

Hence, the value of x in the equation is infinite

Read more about equation solutions at:

https://brainly.com/question/7784687

#SPJ4

Answer:

D) No Solution

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

because 100 showed twice more then the others

Answer:

To find the mode of this question. You look for the number that showed up the most out of the values given. In this case you answer is 100.

Step-by-step explanation:

Answer:

should be 512 inches because l x w x h (8x8x8) is 512

Step-by-step explanation:

Since radii of a circle are congruent, UT is congruent to WT.

Since angles opposite congruent sides in a triangle are congruent, angles UWT and WUT are congruent.

This means the measure of UTV is 180-57-57=66 degrees

Answer:

For problem 1...                                                    For problem 2...

Here are the solutions for a.                               Here are the solutions for b.

[tex]\left[\begin{array}{ccc}5&6\\7&8&9\end{array}\right][/tex]                                                            [tex]\left[\begin{array}{ccc}3\\4&5&6\\7&8&9\end{array}\right][/tex]

There are only 5 to infinity solutions.                Here, there are 7 to infinity.

                            What can we base off of these data sets?

   We can create many more numerical comparisons, as well as ineqaulities.

Examples of those ineqaulities include...

What have we learned?

Answer:

a is 4.5, and b is 3.

Step-by-step explanation:

These numbers are the averages for the numbers shown.

4+5 = 9

9/2 = 4.5

2+4 = 6

6/2 = 3

That is how you can find the average of two numbers.