Mathematics High School

For the function below, (a) find the vertex; (b) find the axis of symmetry; (c) determine whether there is a maximum or a
minimum value and find that value; and (d) graph the function.
f(x) = -x2 - 6x-4

Answers

Answer 1

Answer:

Step-by-step explanation:

f(x) = ax² + bx + c

"x" coordinate of vertex is ( - [tex]\frac{b}{2a}[/tex] )

axis of symmetry is x = - [tex]\frac{b}{2a}[/tex]

If a > 0 the function opens upward and has minimum value.

If a < 0 the function opens downward and has maximum value.

f(x) = - x² - 6x - 4

(a). x = - [tex]\frac{-6}{-2}[/tex] = - 3 ; y = - (- 3)² - 6( - 3) - 4 = 5

Coordinates of vertex are (- 3, 5)

(b). The axis of symmetry is x = - 3

(c). The given function opens downward

y = 5 is a maximum of a given function.

For The Function Below, (a) Find The Vertex; (b) Find The Axis Of Symmetry; (c) Determine Whether There

Related Questions

3. Consider the equation s +10 = 25.
(a) Write a real-world problem that can be solved using the equation.

Answers

s +10 = 25.

There is a bag containing 25 chocolates 10 of them are white, how many chocolates are dark chocolates?

if a plot of land contains a rectangular array of 102 strawberries plants, how many rows are in the array if there are 34 plants in each row?

Answers

3 rows. Sorry if I’m wrong

Does f(-x) = - f(x)? Why?​

Answers

Answer:

No

Step-by-step explanation:

-x is only in the parenthesis not outside. Whatever your number is, let's say 2 would be x, you input 2 as x in which you get f(-2)

hope this helps :)

Plz Help ASAP!!
What is the y-intercept of the line that contains the point (3, –2) and is perpendicular to the line y = – 2/5 x + 3/5?

Answers

Y = 5/2x because the A value need to be the opposite reciprocal for a perpendicular line you then plug the point you are given into our new EQ which equals -2=(5/2)(3) + b (solving for b) and you get b = -9.5 so your new equation is y = 5/2x - 9.5 making your Y int -9.5

What is the answer to this question because I can’t understand it

Answers

Answer:

you have to add both x and y values together. the x and y values came out as (-3,2). hope this helped!

Answer:

(x-11,y-12)

Step-by-step explanation:

The table shows the number of votes for the new school mascot. What percent of the students voted for Polar Bears?

Mascot Number of Students
Polar Bears 6
Tigers 14
Vikings 19
Eagles 11
Katie solved the problem. Her work is shown below. Is her answer correct? If not, explain the error and give the correct answer.

Answers

Answer:

shes so wrong

Step-by-step explanation:

6+14=20+19=39+11=50

100/50=2

6x2=12

12%

the sides of a triangle are 3 whole 1 by 6 cm 4 whole 2 by 3 cm and 5 whole 2 by 3 cm. Find the total length of the three sides of the triangle​

Answers

Answer:

[tex]16\frac{2}{3}[/tex]cm

Step-by-step explanation:

Given dimensions:

           [tex]3\frac{1}{6}[/tex] cm by [tex]4\frac{2}{3}[/tex]cm  by [tex]5\frac{2}{3}[/tex] cm

The total length:

 it is the sum of all the sides;

         [tex]\frac{19}{6} + \frac{14}{3} + \frac{17}{3}[/tex]  

LCM of the denominators = 6 ;

   [tex]\frac{38 + 28 + 34}{6}[/tex]  = [tex]\frac{100}{6}[/tex]

                 = [tex]\frac{50}{3}[/tex]

                 = [tex]16\frac{2}{3}[/tex]cm

You need to score 80% on the final exam to maintain an “A” average in class. If the exam has 250 questions, how many questions must you answer correctly?
A. 20
B. 160
C. 200
D. 240

Answers

Answer:

200

Step-by-step explanation:

100/250= 0.4

0.4* 200= 80

Which ones are functions?

Answers

Answer:

6,8

Step-by-step explanation:

5, 6, and 8 are functions because the x doesn’t have repeated numbers.

For the 7 in number 5 that doesn’t have an arrow, it just means, (7, 0).

Mark as Brainlie if it helped!

10 x what equals 66??

Answers

Answer: 6.6
You can divide 66 by 10 to get the answer. To do it quickly, just move the decimal point in 66 to the left one spot

Answer:

6.6

Step-by-step explanation:

10x(x)=66

x=66/10

x=6.6

Write the equation in Standard Form.
72 = 2 – 4y

Answers

Answer:

seventy-two equals two minus four times

Step-by-step explanation:

Answer:

72x+4y=2

Step-by-step explanation:

Q3) f(x) 2x^2 - 5x, g(x) = 3x^3 find g(4x)

Answers

Answer:

g(4x) = 192x^3

Step-by-step explanation:

For this problem, f(x) is irrelevant since we are simply are dealing with g(x).  We will simply replace the value of x in g(x) with 4x.  So let's do that.

g(x) = 3x^3

g(4x) = 3(4x)^3

g(4x) = 3(4^3)(x^3)

g(4x) = 3(64)(x^3)

g(4x) = 192x^3

Hence, g(4x) is 192x^3.

Cheers.

Factoring trinomials
Select two for each

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Factors.

1.) x^2+4x+3= (x+1) (x+3)

2.) x^2-2x-99 = (x+3) (x-11)

Kelsey is a stock broker. She earns 11% commission each week.Last week she sold $7200 worth of stocks. How much did she make last week in commission? if she averages the same amount each week how much did she make in commission in 2011?

Answers

Answer:

$792 last week's commission.

$41,184 for 2011

Step-by-step explanation:

11% of 7200 is = $792

$792 times 52 weeks in a year is $41,184

Factorise x cube -2x square -5x plus 6

Answers

Answer:   {(x + 2), (x - 1), (x - 3)}

Step-by-step explanation:

Presented symbolically, we have:

x^3 - 2x^2 - 5x + 6

Synthetic division is very useful for determining roots of polynomials.  Once we have roots, we can easily write the corresponding factors.  

Write out possible factors of 6:  {±1, ±2, ±3, ±6}

Let's determine whether or not -2 is a root.  Set up synthetic division as follows:

-2   /   1   -2   -5   6

              -2     8   -6

     -----------------------

        1     -4      3    0

since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial.  The coefficients of the product of the remaining two factors are {1, -4, 3}.  This trinomial factors easily into {(x -1), (x - 3)}.

Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}

WILL GIVE BRAINLIEST!!!!!!!
Write a quadratic equation with –6 and 5 as its roots.

Answers

While there are many quadratic equations using -6 and 5 as roots, the most simple would be the basic (x+6)(x-5)=0, or simplified, x² + x - 30 = 0.

Using these roots, all you have to do is make both sides of the equation and even both sides of the multiplied pre-product to equal 0. If using this format, x has to be equal to -6, and 5.

Two cities on a map are 6.5 cm apart. The cities are actually 325 km apart. What scale was used to draw the map?

Answers

Answer:

A scale of fivce hundred should be the correct answer

Step-by-step explanation:

Answer:

1cm=50km

Step-by-step explanation:

325 divided by 6.5 is 50, so 1 centimeter equals 50 kilometers on the map scale.

2u - 6u =

( worth 10 points)

Answers

answer:
2u-6u = -4u

Good luck!!

(0, -19), (20, 15)
I am having trouble

Answers

Answer:

-38285

Step-by-step explanation:

this is what my calculator told me

sorry but ask someone else

I don´t know what slopes are

so sorry

What is the value of the expression 2.8*10^7/1.4*10^3

Answers

you divide 2.8 and 1.4 which leads you with 2. subtract the exponents 7 and 3 and you get 4. the answer is 2x10^4 :)

What is the solution to the equation 5x−2=2x+13

Answers

Answer:

X=5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

5x-2=2x+13

-2x     -2x

3x-2=13

    +2   +2

3x=15

divide 15 by 3.

if you earn $35 in 5 hours, how much money will you earn in 17 hours? how much will you earn in 1 hour?

Answers

Answer:

$119, $7.

Step-by-step explanation:

First, we need to find the unit rate of pay, in dollars.

Divide $35 by 5 to get $7 per hour.

Now, we multiply the unit rate of pay by 17 to find out how much money is made in the 17 hours that were worked.

By doing this, we get the answer: $119.

Hope this helps! Let me know.

Raise to the power:
[tex](-3y)^{4}[/tex]

Answers

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[tex]( { - 3y})^{4} = ({ - 3})^{4} \times ( {y})^{4} = [/tex]

[tex]81 \times {y}^{4} = 81 {y}^{4} [/tex]

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answer: 81y^4


explanation: you raise each term to the 4th power

for the first term “3” 3•3•3•3 = 81
for the second term “y” y^4

help plzzzzzz it should be easy

Answers

Answer:

uh

Step-by-step explanation:

l

Answer

1.<     2.>

Step-by-step explanation:

1. 9x4/5= 7.2<9

2. 4x6/5= 4.8>4

As the x values increase, the y values decrease

Answers

Answer:

1. That means as the X value decreases the y value increase

2. That means it's a negative Line.

3. The slope is negative

Step-by-step explanation:

What is the correct answer for both ? ​

Answers

Answer:

19. Option A

20. Option B

Step-by-step explanation:

Answer of 19 is A by using the a^2 - b^2 = ( a - b) ( a + b) so this will be (r-1 )( r+1) because we have r^2 so we have to factorize it


Answer of 20 is B by following the same steps

There are 4 boys and 2 girls from the seventh grade and 3 boys and 5 girls from the eighth grade in the math club. The math club sponsor will randomly pick one student from each grade level to represent the team.

What is the probability that both will be girls?

Answers

Answer:

5/24 or 20.8%

Step-by-step explanation:

 

Probability that the 7th grader is a boy = number of boys/(total kids) = 4/(4+4) = 1/2

 

Probability that the 8th grader is a boy = 5/(5+7) = 5/12

 

Probability that both are boys = 1/2*(5/12) = 5/24 or 20.8%

I WILL MARK AS BRAINLIEST!!!!

Answers

Answer:

1. 795, 23

2. 50, she will finish her candy on November 21 so she won't be able to share with her cousins

3. $276, 71 cars

Step-by-step explanation:

1. your equation: y = 35x + 235

plug in 16 to find how many pictures she will have on may 16: y = 35(16) + 235

you get y = 795

for the second part, you know are trying to find how long it will take to get to 1024 pictures, so you know your y, but you don't know your x

your equation: 1024 = 35x + 235

solve to get x = 22.54

this rounds up to 23, so your answer is 23

2. multiply 8 times 4 to get 32

subtract 32 from 82 to fin how many she has left

you get 50

for the second part, divide 82 by 4 to find how many day it will take to finish her candy

you get 20.5

so no, she will not have candy to share with her cousins, and she will finish her candy on November 21

3. for this, you have a negative y intercept since you need to make $24 to start profiting

your equation: y = 6x - 24

plug in 50 to x: y = 6(50) - 24

you get y = 276

so you make $276 with 50 cars

for the second part, plug in 400 to y: 400 = 6x - 24

solve to get x = 70.66

this rounds up to 71, so your answer is 71

Jay wants to buy a book for $8.00. The sales tax is 6%. How much will Jay pay for the book including tax?

Answers

Answer: $8.48

Step-by-step explanation: 8x.06 = .48 +8 = $8.48

What is the least common multiple of 6 and 8?
​

Answers

Answer:

2

Step-by-step explanation:

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