What is the vertex of the function?
Consider the quadratic function
f(x) = x2 - 8x -9
Vertex (

Answers

Answer 1

Answer:

(4,-25)

Step-by-step explanation:

I graphed this on the desmos graphing calculator.


Related Questions

The volume of a cone is 410.3 mm and has a radius of 7 mm. What is the height of the cone? Round to the nearest hundredths

Answers

Answer:

8

Step-by-step explanation:

h=3V

πr2=3·410.3

π·72≈7.99607

The line represented by the equation 3x + 5y = 2 has a slope of negative StartFraction 3 Over 5 EndFraction.. Which shows the graph of this equation?

Answers

Answer:2/5

Step-by-step explanation:

Answer:

I think its B...not completely sure though

Step-by-step explanation:

PLZ HELP I WILL GIVE BRAINLIEST....


1.) The population of a certain city decreased by 10,000 people.
Write a signed number to represent this population change.

2.) A car corporation produced 520 fewer cars this month than last.
Write a signed number to represent this month's change in production

Answers

Step-by-step explanation:

1. A decrease means that the 10,000 will be negative, and therefore the answer is -10,000.

2. Fewer means a decrease, and a decrease means that the 520 will be negative. The answer is -520.

Hope this helps!

5. Cameron found the volume of the cone below, but when he double-

checked his work, he got a different solution. Determine which solution

best represents the volume of the cone.

TRY #1

169.6 in 3

TRY #2

56.5 in 3

Answers

Answer:

Try 2 is correct

Step-by-step explanation:

See attachment for dimension of cone.

From the attached,

The diameter of the cone, d = 6 in

The height of the cone, h = 6 in

The volume of a cone is calculated as thus

Volume = ⅓πr²h

So, we need the value of r.

r represents radius and

r = ½d

r = ½ * 6

r = 3.

So,

Volume = ⅓πr²h becomes

Volume = ⅓ * π * 3² * 6

Volume = π * 3 * 6

Volume = π * 18

Volume = 18π

Take π as 3.14

So,

Volume = 18 * 3.14

Volume = 56.52 in³

Given that

Try 1 = 169.6 in³

Try 2 = 56.5 in³

We can conclude that Try 1 is incorrect and Try 2 is correct

PLS HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

c

Step-by-step explanation:

because its 0=>-4

which means 0-4

and then its -4-6

which is -10

In ΔOPQ, the measure of ∠Q=90°, QO = 61 feet, and OP = 83 feet. Find the measure of ∠O to the nearest tenth of a degree.


Answers

Answer:

∠ O ≈ 42.7°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos O = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{QO}{OP}[/tex] = [tex]\frac{61}{83}[/tex] , thus

∠ O = [tex]cos^{-1}[/tex] ( [tex]\frac{61}{83}[/tex] ) ≈ 42.7° ( to the nearest tenth )

Which form most quickly reveals the vertex?
Choose 1 answer:
m(x) = -2(x - 6)^2 + 18
m(x) = -2(x - 3)(x -9)
m(x) = -2x^2 +24x- 54

Answers

Answer:

first option

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

m(x) = - 2 (x - 6)² + 18 ← is in vertex form

with vertex = (6, 18 )

Answer:

The third one.

Step-by-step explanation:

question below, pls help, IF YOU ANSWER RIGHT: BRAINLIEST THANK YOU!

Answers

Answer:

[tex](x+\boxed{6.5})^2=\boxed{18.25}[/tex]

Step-by-step explanation:

[tex]x^2+11x+24=0\\\\(x^2+11x+42.25)-42.25+24=0\\\\(x^2+11x+42.25)-18.25=0\\\\(x+6.5)^2-18.25=0\\\\(x+6.5)^2=18.25[/tex]

Hope this helps!

What is the surface area of the triangular prism?
A triangular prism. The rectangular sides are 20 feet by 3 feet, 20 feet by 4 feet, and 20 feet by 5 feet. The triangular sides have a base of 3 feet and height of 4 feet. [Not drawn to scale]

152 square feet
172 square feet
252 square feet
264 square feet

Answers

Answer:

252

Step-by-step explanation:

I think I may be wrong

The surface area of the triangular prism is: 252 square feet

What is a triangular prism?

A triangular prism is a solid three-dimensional shape with three rectangles and two triangles.

Analysis:

Surface area of triangular prism = area of 3 rectangles + area of two triangles

Surface area = 20 x 4 + 20 x 5 + 20 x 3 + 2 x ( 1/2 x 3 x 4) = 252 square feet

In conclusion, the surface area of the triangular prism is 252 square feet.

Learn more about triangular prism: brainly.com/question/1284982

#SPJ2

PLEASE HELP!!! 100 points (make sure to show work and be correct)
also answer both questions to get brainiest!!! ASAP!!

Answers

Answer:

1. B and E

2. B

Step-by-step explanation:

1. Looking at the line, let's try to establish a relationship between x and y. Take one point (12, 80) and divide y by x:

80 / 12 = 20 / 3

Similarly, if we take (3, 20), we get the same relationship:

20 / 3 = 20 / 3

That means we need to select an ordered pair that follows this relationship:

A. (14, 100)  ⇒  100 / 14 = 50 / 7 --- wrong

B. (15, 100)  ⇒  100 / 15 = 20 / 3 --- correct

C. (16, 100)  ⇒  100 / 16 = 25 / 4 --- wrong

D. (16, 120)  ⇒  120 / 16 = 15 / 2 --- wrong

E. (18, 120)  ⇒  120 / 18 = 20 / 3 --- correct

The possible answers are B and E.

2. Let's say Maya sells b bracelets. That means that she makes 3 * b = 3b dollars for these b bracelets. Look at the answer choices to see which one will have 3 in the x-coordinate and a multiple of 3 in the y-coordinate:

A. (3, 5)  ⇒  5 isn't a multiple of 3, so wrong.

B. (3, 9)  ⇒  3 is the x-coordinate and 9 = 3 * 3, so this is correct.

C. (3, 7)  ⇒  7 isn't a multiple of 3, so wrong.

D. (2, 3)  ⇒  3 isn't even the x-coordinate, so wrong.

The correct answer is thus B.

Answer:

1. B (15,100) & E (18,120)

2. A (3,9)

Step-by-step explanation:

Equation:

y = mx + c

m = (80-20)/(12-3) = 60/9 = 20/3

c = 0

y = 20x/3

(15,100)

100 = 20(15)/2

100 = 100

(18,120)

120 = (20×18)/2

120 = 120

2.

y = 3x

Where y is the amount and x is the no. of bracelet

This is a proportional relationship

From the options, only A satisfies the relationship

Initially, the ratio of Alex’s toy cars to Pete’s toy cars was 7:3. After Alex gave 20 toy cars to Pete, they had each an equal number of cars. How many toy cars did they have altogether?

Answers

pete 23 cars alex 23 alex gains 16 cars then 23 plus 23 equals 46

Answer:

100

Step-by-step explanation:

Can someone help me pls

Answers

Answer:

b= 4

Step-by-step explanation:

b-1.6= 2.4

I would add 1.6 to both sides so that b could be on one side. The opposite of -1.6 is 1.6, so b-1.6+ 1.6= 2.4

b= 2.4+ 1.6

Since -1.6+1.6 cancel out, I get b= 2.4+1.6. I add 2.4+ 1.6 to get 4.

b=4

So, b= 4

To check my work I would plug in b back into the equation:

So...

b=4

b-1.6= 2.4

4-1.6= 2.4

Answer:

B=4

Step-by-step explanation:

Hope it will help you!

Rewrite the expression in an equivalent form that uses a single exponent

(10^{2} )x^{-3}

Answers

Answer:

simply simplify

[tex]\frac{100}{x^{3} }[/tex]

will mark bianleasnt


Which of the following side lengths can form a triangle?

21 cm, 23 cm, and 44 cm

14 ft, 17 ft, and 30 ft

2 in, 3 in, and 7 in

12 mm, 36 mm, and 53 mm

Answers

Answer: 14, 17, 30

Step-by-step explanation:

In order to form a triangle, the sum of two sides must be GREATER than the third side for all combinations:

a + b > c    &    a + c > b     &       b + c > a

21 + 23 = 44 which is NOT greater than 44

2 + 3 = 5 which is NOT greater than 7

12 + 36 = 48 which is NOT greater than 53

14 + 17 > 30     &    14 + 30 > 17       &     17 + 30 > 14

so these side length form a triangle

Use the Perfect Square Trinomial and provide the first step to calculating 382 without a calculator.
(40 − 2)2
(40 + 2)2
(29 − 9)2
(29 + 9)2

Answers

Answer:

[tex](40-2)^2[/tex]

Step-by-step explanation:

Given: [tex](38)^2[/tex]

To find: the correct option

Solution:

A binomial polynomial is a polynomial consisting of two terms.

A trinomial polynomial is a polynomial consisting of three terms.

On multiplying a binomial [tex](x-y)[/tex] to itself, a perfect square trinomial [tex](x-y)^2[/tex] is obtained.

Here, [tex]38=40-2[/tex]

So, [tex](38)^2=(38)(38)=(40-2)(40-2)=(40-2)^2[/tex]

Here, [tex](40-2)[/tex] is a binomial and it is multiplied to [tex](40-2)[/tex] to get a perfect square trinomial [tex](40-2)^2[/tex]

Answer:

(40 − 2)^2

Step-by-step explanation:

(First just do simple math to narrow down your choices)

A: (40 − 2)^2

40 - 2 = 38

B: (40 + 2)^2

40 + 2 = 42

C: (29 − 9)^2

29 - 9 = 20

D: (29 + 9)^2

29 + 9 = 38

(Now you just have A and D)

A: (40 − 2)^2

D: (29 + 9)^2

(Determine which properly expresses a Perfect Square Trinomial)

A: (40 − 2)^2

I just took the test.

A retail shop is replacing their flooring
with laminate wood. The floor plan is shown
below. Determine the total square feet of
laminate wood needed to complete the the job.
25 ft
8 ft
5 fi
25 ft
35 ft

Answers

Answer:

1075 ft

Step by step:

25*35 = 875

8*25 = 200

875+200 = 1075

The sum of the measures of two exterior angles of a triangle is 252. What is the measure of the third exterior.

Answers

Answer:

108°

Step-by-step explanation:

The sum of the exterior angles = 360°, thus

third = 360° - 252° = 108°

Answer:

some of exterior=360,hence360-252=108

Please answer CORRECTLY !!!!!! Will mark brainliest !!!!!!!!!

Answers

Answer:

a= 13+3b

Step-by-step explanation:

Simplifying

a + -7 = 3(b + 2)

Reorder the terms:

-7 + a = 3(b + 2)

Reorder the terms:

-7 + a = 3(2 + b)

-7 + a = (2 * 3 + b * 3)

-7 + a = (6 + 3b)

Solving

-7 + a = 6 + 3b

Solving for variable 'a'.

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

Add '7' to each side of the equation.

-7 + 7 + a = 6 + 7 + 3b

Combine like terms: -7 + 7 = 0

0 + a = 6 + 7 + 3b

a = 6 + 7 + 3b

Combine like terms: 6 + 7 = 13

a = 13 + 3b

Simplifying

a = 13 + 3b

What is the length of the unknown side of the right triangle?

A right triangle with hypotenuse x and legs 5 and 12

13
17
25
60

Answers

Answer:

13

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem

[tex]a^2+b^2=c^2[/tex]

where a and b are the legs and c is the hypotenuse.

We know that the legs are 5 and 12. We also know the hypotenuse is x, or unknown.

Substitute 5 in for a, 12 for b, and x for c.

[tex]5^2+12^2=x^2[/tex]

Evaluate the exponents.

5^2 is the same as 5*5, which is 25.

12^2 is the same as 12*12, which is 144.

[tex]25+144=x^2[/tex]

Add 25 and 144

[tex]169=x^2[/tex]

We are trying to find out what x is. In order to do this, we have to get x alone. Since x is being squared, take the square root of both sides. The exponent and square root will cancel, leaving x by itself.

[tex]\sqrt{169} =\sqrt{x^2} \\\\\sqrt{169}=x\\13=x[/tex]

The hypotenuse is 13.

So the right answer is 13.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Find the minimum value of the parabola y = x2 + 10.

Answers

Answer:

(0,10)

Step-by-step explanation:

0,10 is the answerrr

HURRY UP PLEASE !!

5 x 2 - 21 = 39 ; Solve and what are the x-intercepts of this quadratic equation ?

Answers

Answer:

The x-interecepts are 5.6 and -1.4, approximately.

Step-by-step explanation:

The given equation is

[tex]5x^{2} -21x=39[/tex]

Where [tex]a=5[/tex], [tex]b=-21[/tex] and [tex]c=39[/tex], let's use the quadratic formula

[tex]x_{1,2}=\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a} =\frac{-(-21) (+-)\sqrt{(-21)^{2} -4(5)(-39)} }{2(5)}\\ x_{1,2}=\frac{21(+-)\sqrt{441+780} }{10}=\frac{21(+-35)}{10}\\x_{1}=\frac{21+35}{10}=\frac{56}{10} \approx 5.6\\ x_{2}=\frac{21-35}{10}=\frac{-14}{10} \approx -1.4[/tex]

Therefore, the x-interecepts are 5.6 and -1.4, approximately.

Please help with my homework!

Answers

Answer:

The radius of a circle is half the length of its diameter.

The diameter of a circle is twice the length of its radius.

The answers are :

Half

Double

Volume8cm what is side lengths

Answers

Answer:

length: 2

width: 2

height: 2

Step-by-step explanation:

I'm assuming this is for a rectangular prism, because you didn't provide a picture.

Find two numbers, if their sum is 97 and their difference is 7.

Answers

Answer:

Step-by-s tep explanation:

Answer:

Step-by-step explanation:

Let m and n represent the numbers.  Then m + n = 97 and n - m = 7.

Solving the second equation for n, we get n = m + 7.  Substituting m + 7 for n in the first equation we obtain:

m + (m + 7) = 97, or

2m + 7 = 97, or 2m = 90

Dividing both sides by 2, we get m = 45.  Then n must be 52.

A ship leaves port at noon at a bearing of 293°. The ship’s average rate of speed over this time is 18 miles per hour.

Describe the location of the ship at 3:30 p.m. by writing a vector in component form. Then explain what these components mean in terms of the scenario.

Drag a value into each box to correctly complete the statements.

Answers

Answer:

answers at the bottom- basically got the entire question wrong LOL

Step-by-step explanation:

The location or bearing of the ship at 3:30 pm is 24.6 miles north and 58 miles to the west of where the ship left the port.

What is the bearing of an object?

The bearing of an object is the direction or location of an object from another place using the northern direction as the reference point.

Given the initial bearing and speed of the ship:

The components form of the vector representing the ship at 3:30 pm is -58, 24.6 miles.

This means the ship is about 24.6 miles north and 58 miles to the west of where the ship left the port.

Therefore, the location of the ship at 3:30 pm is 24.6 miles north and 58 miles to the west of where the ship left the port.

Learn more about bearing at: https://brainly.com/question/19511275

What is the relation between the variables in the equation ?

a.
varies inversley as y
c.
y varies directly as
b.
varies directly as y
d.
y varies inversely as




Answers

I think it’s b. Varies directly as y but I’m not exactly sure so try searching it up If that helps

pls answer
take ur time

Answers

Answer:

y = 3/4x

Step-by-step explanation:

We need to find the slope of the line

We have point (0,0) and point (4,3)

m = (y2-y1)/(x2-x1)

    = (3-0)/(4-0)

     =3/4

The y intercept is 0 since it crosses the y axis at 0

The slope intercept form of the line is

y = mx+b

y = 3/4x +0

y = 3/4x

I don’t get this I gotta find S(t)=

Answers

Answer:

multiply s by t

Step-by-step explanation:

you just multiply s times t and get your answer

Angles y and z are complimentary. If angle y is 18°, what is the measure of angle z?


18°


36°


72°


162°



Answers

Answer:

z = 72°

Step-by-step explanation:

Complimentary angles sum to 90° , thus

z + y = 180, that is

z + 18 = 90 ( subtract 18 from both sides )

z = 72°

So the right answer is 72 degree.

Look at the attached picture

Hope it will help you

Good luck on your assignment

James has a total of 66 dollars in his piggy bank. He only has one dollar bills and two dollar bills in his piggy bank. If there are a total of 49 bills in James's piggy bank, how many one dollar bills does he have?

Answers

He has 32 1 dollar bills and 17 2 dollar bills I THINK

32 + 17 = 49 and 32 + 17(2) = 66

Answer:

32 one-dollar bills

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