-3(6f - 12) = 36 - 18f

let's firstly find the equation of the parabola, bearing in mind that x-intercepts or solutions/zeros/roots means y = 0.

[tex]\bf ~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=1\\ k=-9 \end{cases}\implies y=a(x-1)^2-9 \\\\\\ \textit{we also know that } \begin{cases} x=0\\ y=-6 \end{cases}\implies -6=a(0-1)^2-9\implies 3=a(-1)^2[/tex]

[tex]\bf 3=a\qquad \qquad \textit{therefore}\qquad \qquad \boxed{y=3(x-1)^2-9} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{y}{0}=3(x-1)^2-9\implies 9=3(x-1)^2\implies \cfrac{9}{3}=(x-1)^2\implies 3=(x-1)^2 \\\\\\ \pm\sqrt{3}=x-1\implies \pm\sqrt{3}+1=x\implies x= \begin{cases} \sqrt{3}+1\\ -\sqrt{3}+1 \end{cases}\implies x\approx \begin{cases} 2.73\\ -0.73 \end{cases}[/tex]

Answer:

84°

Step-by-step explanation:

smallest angle=x

3x=2nd angle

x+40=3rd angle

angles in a triangle add up to 180 degrees so

5x+40=180

5x=140

x=28

largest angle = 3x

so 3 x 28 = 84 degrees

The largest angle is 84 degrees

Answer:

Largest angle = 84°

Step-by-step explanation:

According to the given information, we are assuming the smallest angle of the triangle to be [tex]x[/tex] degrees, next angle to be [tex]3x[/tex] degrees and the last angle to be [tex]x+40[/tex] degrees.

We know that all three angles of a triangle add up to 180 degrees so:

[tex]x+3x+x+40=180[/tex]

[tex]5x=140[/tex]

[tex]x=28[/tex]

Smallest angle = 28°

Next angle = [tex]3(28)[/tex] = 84°

Last angle = [tex]28+40[/tex] = 68°

Therefore, the largest angle = 84°

Answer: option c

Step-by-step explanation:

Find the x-intercept and y-intercept of each line.

To find the x-intercept, substitute [tex]y=0[/tex] into the equation and solve for "x".

To find the y-intercept, substitute [tex]x=0[/tex] into the equation and solve for "y".

- For the first equation:

x-intercept

[tex]4x + 3y = 29\\\\4x + 3(0)= 29\\\\4x=29\\\\x=\frac{29}{4}\\\\x=7.25[/tex]

y-intercept

[tex]4x + 3y = 29\\\\4(0) + 3y = 29\\\\3y=29\\\\y=\frac{29}{3}\\\\y=9.66[/tex]

Graph a line that passes through the points (7.25, 0) and (0, 9.66)

- For the second equation:

x-intercept

[tex]2x - 3y = 1 \\\\2x - 3(0) = 1 \\\\2x=1\\\\x=0.5[/tex]

y-intercept

[tex]2x - 3y = 1\\\\2(0) - 3y = 1\\\\-3y=1\\\\y=-0.33[/tex]

Graph a line that passes through the points (0.5, 0) and (0, -0.33)

Observe the graph attached. You can see that point of intersection of the lines is (5,3); then this is the solution of the system. Therefore:

[tex]x=5\\y=3[/tex]

ANSWER

c)x = 5, y = 3

EXPLANATION

The given system has equations:

[tex]4x + 3y = 29[/tex]

and

[tex]2x - 3y = 1[/tex]

We graph the above equations using a graphing software to obtain the graph shown in the attachment.

The solution to the given system is the point of intersection of the two straight lines.

From the graph, the two straight lines intersected at (5,3).

This implies that the solution to the system is:

[tex]x = 5 \: and \: y = 3[/tex]

The correct answer is option is C

Answer:

6pm

Step-by-step explanation:

Assumption: Both Dan and Phil both depart from the same station and arrive at the same station. (i.e they both travel the same distance)

Dan's travel speed is 75mph and Phil's travel speed is 60mph

Let Dan's travel time be [tex]t_{Dan}[/tex] and Phil's travel time be [tex]t_{Phil}[/tex]

Use Formula Distance travelled = speed x time, hence

Dan's Distance Travelled =75 [tex]t_{Dan}[/tex]

Phil's Distance Travelled =60 [tex]t_{Phil}[/tex]

Because they travel the same distance, we can equate the 2

75 [tex]t_{Dan}[/tex] = 60 [tex]t_{Phil}[/tex]

or [tex]t_{Dan}[/tex] = (60/75) [tex]t_{Phil}[/tex]

[tex]t_{Dan}[/tex] = 0.8 [tex]t_{Phil}[/tex]  -------> eq 1

We also know that Dan left at 10:00 and Phil left at 8:00. If they end up being at the same place, this means that Phil's journey will be 2 hours longer than Dan, or

[tex]t_{Phil}[/tex] = [tex]t_{Dan}[/tex] + 2------> eq2

we can solve the system of 2 equations to get

[tex]t_{Phil}[/tex] = 10 hrs

[tex]t_{Dan}[/tex] = 8 hrs

If Phil left at 8:00 am, he will be in the same place as Dan at 8:00 + 10 hrs = 6 pm.

Double Check:

If Dan left at 10:00, he will be in the same place as Phill at 10:00 + 8 hrs = 6 pm.

Answer:

A = bh (the last one)

Step-by-step explanation:

To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply. The base and height of a parallelogram must be perpendicular.

Answer:

A=bh

Step-by-step explanation:

Answer:

That would be the point(-2, -1)

Step-by-step explanation:

The graph rises between  (-3, -4) and (-2, -1)  then falls as it passes through the last 2 points ( y = -1 goes to y= -5 and then to y = -8 as x values move to the right).

Answer: (–2, 1)

Step-by-step explanation:

just did this

Answer:

The statement is False

Step-by-step explanation:

we know that          

An inscribed circle is the largest circle contained within the triangle. The center of the circle inscribed in a triangle is the incenter of the triangle.

The incenter is the point where the angle bisectors of the triangle intersect.

The circumscribed circle is the circle that passes through all three vertices of the triangle. The center of the circumscribed circle is called the circumcenter of the triangle

The circumcenter is the point where the perpendicular bisectors of the sides intersect.

therefore

The circumcenter of a triangle is the center of the only circle

that can be circumscribed about it.

The statement is false

The circumcenter of a triangle is the center of the only circle that can be inscribed about it. True or false?

Answer: False

Hello.

The answer is: 27

To get this answer you can divide 321 and 12.  But that will give you an uneven number such as 26.75. And because you cant have 26.7 tables you will wound it up to be 27 tables.

Answer:

321÷12=26.75

answer: 27

Step-by-step explanation:

since you know that each table can only seat 12 people and there is 321 visitors you divide 321 by 12 which you get 26.75, but u cant have 26.75 tables so you round up to 27 so you can seat all the visitors because if you round down to 26, 9 people won't have a seat.

Answer:

In 6 different ways can the three students form a set of class officers.

Step-by-step explanation:

There are 3 people Leila, Larry, and Cindy and 3 positions president, vice-president, and secretary.

We need to find In how many different ways can the three students form a set of class officers.

This problem can be solved using Permutation.

nPr = n!/(n-r)! is the formula.

Here n = 3 and r =3

So, 3P3 = 3!/(3-3)!

3P3 = 3!/1

3P3 = 3*2*1/1

3P3 = 6

So, in 6 different ways can the three students form a set of class officers.

Answer:

I think it's B.

Step-by-step explanation:

They are asking for integers greater than -3 and less than 5.

For this case we have to:

[tex]x <-3[/tex]: Represents the solution of all strict minor numbers to -3.

[tex]x> 5[/tex]: Represents the solution of all strict major numbers to 5.

The global solution is given by the intersection of both sets.

If we represent the solution in a straight line, it gives us empty. do not intersect.

Answeer:

Option C

Answer:

If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.

Step-by-step explanation:

The fact that one angle of a triangle is larger than the other angle and the side that is opposite the larger angle is longer than the side which is opposite the smaller angle proves the isosceles triangle theorem.

This theorem proves that the base angles of any isosceles triangle have equal measure.

If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.

e2020

Answer:

The correct option is B

Step-by-step explanation:

Todd rolls two number cubes.

Let A={the sum of the number cubes is even}

A={2,4,6,8,10,12}

Let B={the sum of the number cubes is divisible by 2}

B = {2,4,6,8,10,12}

Now we have to find A∩B

Intersection refers to the values which are common in both the sets. The sums in both sets are even and divisible by 2.

So,

A={2,4,6,8,10,12} B = {2,4,6,8,10,12}

A∩B = {2,4,6,8,10,12}

Thus the outcomes A∩B = {2,4,6,8,10,12}

The correct option is B....

Answer:

B

Step-by-step explanation:

Answer:

quintic

Step-by-step explanation:

I will assume you mean

-3x^5

This is to the degree 5, since it is to the 5th power

cubic   3rd power

quadratic  2nd power

quintic  5th power

constant 0th power

Answer:

Quintic polynomial is a polynomial with degree 5

Step-by-step explanation:

[tex]-3x^5[/tex]

Given polynomial has degree 5 . Its a 5th degree polynomial

Cubic polynomial has degree 3

Quadratic polynomial has degree 2

Constant is a polynomial with a number without any variable like 2 or 4 or 15

Quintic polynomial is a polynomial with degree 5. Given polynomial has degree 5 . So it is Quintic

Answer:

145 yards squared

Step-by-step explanation:

So the area of the base is area of a square with side length of 5 yards [tex]5*5=25[/tex]

The area of one triangular face base times height divided by two and then simply multiplied by 4 because there are 4 triangular faces.

[tex](\frac{5*12}{2} )*4 = 120[/tex]

So the total surface area is [tex]25+120=145[/tex] yards squared

Answer:

First, draw and label a net of the pyramid. The triangular faces have a base of 5 yards and a height of 12 yards. Find the area of each of the faces. The square base has an area of 25 yd2. Each of the triangular faces has an area of 30 yd2. Add the areas together to find the surface area: 25 + 30 + 30 + 30 + 30 = 145 yd2.

Step-by-step explanation:

Answer:

It didn't saying anything about rounding but the the dimensions in there exact form are:

[tex]L=\frac{-5+\sqrt{249}}{2} \text{ cm}[/tex]

and

[tex]W=\frac{5 + \sqrt{249}}{4} \text{ cm }[/tex].

Now if they said to round to the nearest hundredths the dimensions in this rounded form would be:

L=5.39 cm and W=5.19 cm

(Check your question again and see if you meant what you have)

Step-by-step explanation:

L is 5 less than twice W

L = 2W-5

Area of rectangle=L*W

Area is 28 means L*W=28.

I'm going to insert L=2W-5 into L*W=28 giving me

(2W-5)*W=28

Distribute

2W^2-5W=28

Subtract 28 on both sides

2W^2-5W-28=0

a=2

b=-5

c=-28

We are going to use the quadratic formula.

Plug in...

[tex]W=\frac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\W=\frac{5 \pm \sqrt{(-5)^2-4(2)(-28)}}{2(2)}\\\\W=\frac{5 \pm \sqrt{25+224}}{4}\\\\W=\frac{5 \pm \sqrt{249}}{4}[/tex]

W needs to be positive so [tex]W=\frac{5 + \sqrt{249}}{4}[/tex]

And [tex]L=2W-5=2(\frac{5 + \sqrt{249}}{4})-5[/tex]

[tex]L=\frac{5+\sqrt{249}}{2}-5[/tex]

[tex]L=\frac{5+\sqrt{249}}{2}-\frac{10}{2}[/tex]

[tex]L=\frac{-5+\sqrt{249}}{2}[/tex]

Does L*W=28?

Let's check.

[tex]L \cdot W=\frac{-5+\sqrt{249}}{2} \cdot \frac{5 + \sqrt{249}}{4}[/tex]

[tex]L \cdot W=\frac{249-25}{8}[/tex]

In the last step, I was able to do a quick multiplication because I was multiplying conjugates.  (a+b)(a-b)=a^2-b^2.

[tex]L \cdot W=\frac{ 224}{8}[/tex]

[tex]L \cdot W=28[/tex]

Answer:

B.

Step-by-step explanation:

The range is just the list of y-coordinates while the domain is just a list of the x-coordinates when it comes to a list of points.

So anyways all your y-coordinates are -2,-1,0,1,2. So that is your range.

Answer:

B.

Step-by-step explanation:

Range means all the y values included on the function/relation on the graph. In this case the y values/range is:

{1, 2, 4, 5}

^^^Remember to order them from smallest to largest and to a number only once if there are more then one of that number included in the range.

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

B=n2 + 6n + 1

Step-by-step explanation:

A = n

B = 2n + 6

C = n^2 - 1

AB - C = n * (2n + 6) - (n^2 - 1) = 2n^2 + 6n - n^2 + 1 = n^2 + 6n + 1

Answer:

The simplest form of the expression AB-C is [tex]n^2+6n+1[/tex].

Step-by-step explanation:

In this exercise we only need to use the properties of arithmetic operations and a minimal knowledge of algebraic notation. We have the expressions

Now we make the indicated operations, beginning by AB:

[tex]AB=n\cdot(2n+6) = 2n^2+6n[/tex]  using the distributive property of multiplication.

Then, we make AB-C:

[tex]AB-C = 2n^2+6n - (n^2-1) = 2n^2+6n-n^2+1 = n^2+6n+1[/tex].

In the last step we must be vary careful with the change of signs in the expression inside parenthesis.

Answer:

A Step 1

Step-by-step explanation:

600 X 4

6*100 *4

The mistake is in the first line

600 = 6*100  not 6*10

Answer:

It will double every hour.

Step-by-step explanation:

f(x) = 4(2)^x

This is an exponential function so the number of people will increase at a faster rate each hour. It will accelerate.

Lets try entering a few values:

After 1 hour,  people =  4*2 = 8

After 2 hours , people =4*2^2 =  16

After 3 hours, people = 4(2)^3 = 32

After 4 hours, people = 4(2)^4 =  64.

It is doubling every hour.

.

Answer:

Step-by-step explanation:

F(x)=x^2 What is F(x)+F(x)+F(x) =3F(x) =3x²

Answer:

[tex]F(x)+F(x)+F(x)[/tex] = [tex]3x^{2}[/tex]

Step-by-step explanation:

Given is :

[tex]F(x)=x^{2}[/tex]

We have to find:  [tex]F(x)+F(x)+F(x)[/tex]

This means we have to find [tex]x^{2} +x^{2} +x^{2}[/tex]

This becomes [tex]3x^{2}[/tex]

Hence, [tex]F(x)+F(x)+F(x)[/tex] = [tex]3x^{2}[/tex]

Answer:

b

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

(a)

2x + 3y = 1 ( subtract 2x from both sides )

3y = - 2x + 1 ( divide all terms by 3 )

y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{1}{3}[/tex] ← in slope- intercept form

with y- intercept c = [tex]\frac{1}{3}[/tex] ← does not pass through the origin

(b)

2x + 3y = 0 ( subtract 2x from both sides )

3y = - 2x + 0 ( dividing all sides by 3 ), gives

y = - [tex]\frac{2}{3}[/tex] x + 0 ← in slope- intercept form

with y- intercept c = 0 ← passes through the origin

(c)

2x + 3y = 6 ( subtract 2x from both sides )

3y = - 2x + 6 ( divide all terms by 3 )

y = - [tex]\frac{2}{3}[/tex] x + 2

with y- intercept c = 2 ← does not pass through the origin

Answer:

The inverse f-1(x)  = ( x -  2) / 2.

Step-by-step explanation:

Let 2x + 1 = y

Now find x in terms of y:

2x = y - 1

x = (y - 1) / 2

Replace the x by the inverse f-1(x) and the y by x, so we have:

f-1(x)  = ( x - 2) / 2.

[tex]f(x)=2x+1\\\\y=2x+1\\2x=y-1\\x=\dfrac{y-1}{2}\\\\f^{-1}(x)=\dfrac{x-1}{2}[/tex]

Answer:

x = 130

Step-by-step explanation:

The sum of the exterior angles of a polygon is always 360

140 + x + 56+ 34 = 360

Combine like terms

230 +x = 360

Subtract 230 from each side

230+x-230 = 360-230

x =130

Answer:

2a  -b -2

Step-by-step explanation:

3a -2 - b- a

Combine like terms

3a -a   -b   -2

2a  -b -2

Answer:

24

Step-by-step explanation:

I think you would do 6 sides on the dice times 4 dice.

Answer:

There is 1,296 possible outcomes

Step-by-step explanation:

You are rolling a die which has 6 faces 4 times.

Each of those rolls has 6 outcomes. That other outcome has 6 other outcomes, which goes on for 4 rolls.

SO you multiply 6*6*6*6=1296 possible outcomes

PLZ VOTE ME FOR BRAINLEST

Answer:

x=26

Step-by-step explanation:

Given:

2x - 20 = 32

2x=32+20

2x=52

2x/2=52/2

x=26!

Answer:

Event A has 13/52 outcomes.

Step-by-step explanation:

Total no of cards in a deck = 52

No of clubs in a deck = 13

Event A has outcomes = No of clubs in a deck/Total no of cards in a deck

= 13/52

So, Event A has 13/52 outcomes.

Answer:

A)Multiply both sides by 3x + 7.

Reset

A)the solution of the equation is  x=-12

Step-by-step explanation:

Hello

let

to begin isolating we must multiply both sides by 3x + 7.

Reset

this way

[tex]\frac{-22+3x}{3x+7}=2\\\frac{-22+3x}{3x+7}*(3x+7)=2*(3x+7)\\-22+3x=2*(3x+7)[/tex]

let´s continue to find x

[tex]\\-22+3x=2*(3x+7)\\-22+3x=6x+14\\-22-14=6x-3x\\-36=3x\\x=\frac{-36}{3}\\ x=-12[/tex]

the solution of the equation is x=-12

have a great day

Answer:

D 5

Step-by-step explanation:

PQ + QR + RS = PS

Substituting what we know

2x-6 + 1 + x-4 = 18

Combine like terms

3x-9 = 18

Add 9 to each side

3x-9+9 =18+9

3x= 27

Divide each side by 3

3x/3 =27/3

x=9

We want to find RS

RS = x-4

    = 9-4

   =5