PLEASE HELP ASAPPPPP!!!!!!!!!!!!!
The quadratic function f(x) has roots of −2 and 6, and it passes through the point (1, 15). What is the vertex form of the equation of f(x)?

f(x) = (x − 2)2 + 16
f(x) = (x + 2)2 + 16
f(x) = −(x − 2)2 + 16
f(x) = −(x + 2)2 + 16

Answer:

always go with C- trust me its helped me alot

Step-by-step explanation:

(f+g)(x) = x2+4x−4

Explanation: add them together

f(x)+g(x)(4x+1)+(x2−5)4x+1+x2−5x2+4x−4(f+g)(x) = x2+4x−4

If arthur walks 3 km north, and then turns east and walks 4 km. The  distance traveled  is 7km and his displacement is 5km.

Distance traveled:

Distance traveled = Km north + East Km

Distance traveled  = 3 km + 4 km

Distance traveled  = 7 km

Displacement

Using  Pythagoras theorem to determine  or find the displacement

B² = A ²+AB²

B² = 3 ² +4 ²

B = 9+16

B = √ 25

B = 5 km

Therefore the 7km is the distance and 5km is the displacement.

Learn more about Distance travelled here: https://brainly.com/question/24283318
#SPJ1

The no. of schnauzers in the annual dog show are 20.

Assume that there are x Schnauzers at the annual dog show.

Scotties entered in the yearly dog show: x + 3

There are 2x - 5 Wirehaired Terriers entered in the annual dog show.

There are 78 dogs in all competing in the yearly dog show.

Consequently, the equation becomes

x + x + 3 + 2x - 5 = 78.

4x - 2 = 78

4x = 78 + 2

4x = 80

x = 80/4

  = 20

In the yearly dog show, there are 20 Schnauzers. I hope you can understand the process without too much trouble. It is crucial to thoroughly study the equation so that you can easily solve the issue.

To learn more about equation click here:

https://brainly.com/question/10413253

#SPJ4

Answer:

[tex]y+2=\frac{5}{2} (x-6)[/tex]

Step-by-step explanation:

point-slope form: y-y1=m(x-x1)

x1=6

y1=-2

m=5/2

[tex]y+2=\frac{5}{2} (x-6)[/tex]

the correct answer is a so write it

The time Nancy spent working on her ela homework is equal to 2 hours.

The time Nancy spent working on her ela homework can be calculated by multiplication.

We can calculate it by multiplying the fraction of time spent by her on ela homework by the total time she spent on her homework.

As the total time spent by her on homework is 2 1/2 hours we can covert it into decimals as;

2 1/2 = 5/2 = 2.5 hours

Now multiplying it by the fraction of her time spent on ela homework,

Time spent on ela homework = 4/5 × 2.5

Time spent on ela homework = 10/5

Time spent on ela homework = 2 hours.

Hence Nancy spent 2 hours working on her ela homework.

To learn more about multiplication; click here:

https://brainly.com/question/1135170

#SPJ4

1. The additional information needed to prove that ΔABE ~ ΔDBC by SAS similarity is: c. AB/DB is proportional to EB/CB.

2. The additional information needed to prove that ΔABE ~ ΔDBC by AA similarity is: a. ∠A ≅ ∠D.

The SAS similarity is a triangle theorem that proves that two triangles are similar to each other if they have two pairs of sides that are proportional to each other and a pair of included congruent angles.

The AA similarity states that of two angles in one triangle is congruent to two corresponding angles in another triangle, then the two triangles are similar based on these properties they have.

1. In the triangles shown in the image, we have a pair of congruent angles based on he definition of vertical angles: ∠ABE ≅ ∠DBC

We are also given the measure of two corresponding sides. These are not enough to show the triangles are similar by the SAS similarity.

The additional information needed is: c. AB/DB is proportional to EB/CB.

2. Only one pair of congruent angles is given which is not enough to prove the triangles are congruent by AA similarity.

The additional information needed would be: a. ∠A ≅ ∠D.

Learn more about the SAS similarity on:

https://brainly.com/question/22472034

#SPJ1

Answer:

The factors are (x+9),(x−9).

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

ax + by = c  Subtract ax from both sides

by = -ax + c  Divide all the way through by b

[tex]\frac{by}{b}[/tex] = [tex]\frac{-a}{b}[/tex] x + [tex]\frac{c}{b}[/tex]

y = - [tex]\frac{a}{b}[/tex] x +[tex]\frac{c}{b}[/tex]

Answer:

42

Explanation:

Recall that two triangles are said to be similar if their corresponding angles are congruent and their corresponding sides are in equal proportion.

Given that triangles ABC and XYZ are similar, to be able to determine missing side length, we have to set up proportions as seen below;

Let's cross multiply;

Let's divide both sides of the equation by 5;

So the missing side length is 42

Answer:

Step-by-step explanation:

The value of the given function h(k(3)) when h(x) =√ x+3  and k(x) = 2x +7 is equal to 4.

As given in the question,

Given functions are :

h(x) =√ x+3  and k(x) = 2x +7

To find the value of the composite function h(k(3)) :

First calculate for k(3) we get,

k(x) = 2x+ 7

Substitute x =3 in k(x) we get,

k(3) = 2(3) +7

⇒ k(3) = 13

Now, Substitute the value of k(3) in the composite function h(k(3)) we get,

h(k(3))

= h(13)

= √ 13 +3

=√16

= 4

Therefore, the value of the given function h(k(3)) when h(x) =√ x+3  and k(x) = 2x +7 is equal to 4.

Learn more about value here

brainly.com/question/10416781

#SPJ1

Possible answers to the expression 2x - 15 are given as follows:

An expression is solved isolating the variable of which we want to find the value.

In this problem, the expression is given as follows:

2x - 15 = c.

In which c is a constant that is not given in the incomplete problem here, hence we will attribute values to it.

With c = -35, we have that the solution is found as follows:

2x - 15 = -35

2x = -20 (-35 + 15)

x = -20/2

x = -10.

Now, if c = 3, the solution is calculated as follows:

2x - 15 = 3

2x = 18

x = 18/2

x = 9.

In your problem, a value for c(the right-handed side of the equality) will be given, and you will solve it applying the same procedure I applied in the answer here.

More can be learned about expressions and equations at https://brainly.com/question/4344214

#SPJ1

Answer:

Step-by-step explanation 10:

the derivitvte of 2x^2(cotx) is −4cot2xcsc^2(2x)

Answer:

0

Step-by-step explanation:

the domain can’t be the same

The given equation x²-2x=(-2)(3-x) is a quadratic equation.

A second-degree quadratic equation in algebra is one that involves x.

The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.

The coefficient of x2 must be a non-zero term in order for an equation to meet the definition of a quadratic equation.

given:

x²-2x=(-2)(3-x)

on expanding,

x²-2x = -6+2x

x²-4x+6 = 0

hence above equation is in form of ax²+bx+c=0, where a=1, b=-4. c=6

To know more about quadratic equation please visit:

https://brainly.com/question/17177510

#SPJ13

The cost of endless chicken wings at Restaurant X is $5. So cost equation for n chicken wings at Restaurant X is,

The cost of chicken wings at Restaurant Z is 20 cents and $1.40 for sauce. So cost equation for Restaurant Z is,

So answer is,

Restaurant X: c = 5

Restaurant Z: 0.20n + 1.40

(b)

Plot the system of equation on the graph.

(c)

The lines of two restaurant X and restaurant Z intersect each other at point (18,5). This means that restaurant X and restaurant Z has same cost 5 at n = 18. So both restanurant has same cost for 18 chicken wings.

Answer: 18

The graph of the equation -4x = -60 is shown below.

A vertical line is expressed as the equation, x = b. Here, the variable "b" is the point on the x-axis where the line intercepts the horizontal axis.

Thus, to plot the graph for a vertical line with the equation, x = b, we would simply draw a vertical line that crosses the x-axis at point b.

Given the equation, -4x = -60, rewrite the equation in the form x = b, to determine the value of b:

-4x/-4 = -60/-4 [division property of equality]

x = 15

This means that the graph of the equation, -4x = -60, would be a graph that has a vertical line that crosses the x-axis at 15.

the graph is shown below.

Learn more about graph of vertical line on:

https://brainly.com/question/2257047

#SPJ1

Answer:

Step-by-step explanation:

See attached worksheet

Using equation, the cost of small sundae and large sundae are 4 dollars and 6 dollars respectively.

The ice cream  shop sells small and large sundaes .

One day, 30 small sundaes and 50 large sundaes were sold for $420. Another day, 15 small sundaes and 35 large sundaes were sold for $270.

Therefore,

let

x = cost of each small sundae

y = cost of each large sundae

Therefore,

30x + 50y = 420

15x + 35y = 270

multiply equation(ii) by 2

30x + 50y = 420

30x + 70y = 540

subtract equation(i) from equation(ii)

20y = 120

y = 120 / 20

y = 6

Hence,

30x + 50(6) = 420

30x + 300 = 420

30x = 420 - 300

30x = 120

x = 120 / 30

x = 4

Therefore,

cost of small sundae = 4 dollars

cost of large sundae = 6 dollars

learn more on sales and equation here: https://brainly.com/question/21443517

#SPJ1

The value of XZ is 32.

What is the value of XZ?

Trigonometry simply means the branch of mathematics that is concerned with functions of angles as well as their applications to calculation. It also deals with the relationship between ratios and their angles.

From the figure, XY = 15 and YZ = 17

XZ is the sum of XY and YZ:

XZ = XY + YZ

XZ = 15 + 17 = 32

Therefore, XZ is 32.

This shows the concept of trigonometry.

You can learn more about trigonometry on:

https://brainly.com/question/24438369

#SPJ1

12

1) Considering this Data Set:

8 12 15 9 10 12 12 18 14 15 10 11 12 9 17

2) And the fact that the mode is the central tendency measure that indicates the data point that repeats itself the most, we can tell that the mode is:

Note that this is the data point that repeats itself the most.

Answer:

[tex] {2x}^{2} + 7[/tex]

so hope it helps

Linear factors are the factors of a polynomial

What went wrong is that: Tyler's linear factors are incorrect

The polynomial function is given as:

Rewrite as:

Further rewrite as:

Factorize the above polynomial

Factor out x - 1 from the polynomial

This means that:

The linear factors are x - 1 and x^2 - 8x + 15

From the given diagram, Tyler's linear factors are x - 1 and x^2 - 8x - 15

Hence, Tyler's linear factors are incorrect

Answer: [tex]-6, 0, 14[/tex]

Step-by-step explanation:

[tex]f(2)=2^2 - 3(2)-4=-6\\\\f(4)=4^2 -3(4)-4=0\\\\f(-3)=(-3)^2 -3(-3)-4=14[/tex]

Answer:

5782

Step-by-step explanation:

td j envalentonado 8jdjdyzh d

The order from smallest to largest is a book, bread, penny, bills

In decreasing size, they are a book, a loaf of bread, a penny, and a bill.

The following details must be taken into account;

We can infer from the facts above that the smallest to largest items are books, bread, pennies, and cash.

Hence, The order from smallest to largest is a book, bread, penny, bills.

To know more about orders, visit https://brainly.com/question/27128479

#SPJ9