what is the range of the function f(x)= -(x+3)^2+7​

Answer:

This is false because any number divided by 0 is undefined.

Answer:

x^2/2

Step-by-step explanation:

Alright, lets go.

Isosceles right triangle means a 45-45-90 triangle.

In a 45-45-90 triangle, the hypotenuse is [tex]\sqrt{2}[/tex] times the leg.

Therefore, the length of the leg is x√3.

The area of a triangle is b(h)/2

In a 45-45-90 right triangle, the area is equal to the length of a leg squared/2

A leg = x√3. (x√3)^2 = 3x^2

The area of the triangle is 3x^2/2

Answer:

See explanation

Step-by-step explanation:

True Mathematical Statement

[tex]\text{If }\sqrt{x}=a$ and \sqrt{y}=b,$ then \sqrt{xy}=ab[/tex]

False Mathematical Statement

[tex]\text{If }\sqrt{x}=a$ and \sqrt{y}=b,$ then \sqrt{x+y}=a+b[/tex]

To show using a counterexample that the statement isn't true.

[tex]\text{Let x}=16\\\text{Let y}=9\\\sqrt{16}=4\\\sqrt{9}=3\\\sqrt{16+9}=\sqrt{25}=5\\a+b=3+4=7\\5\neq 7[/tex]

Therefore, the mathematical statement is false.

Answer:

in an equation ax^2+bx+c to complete the square it turns to

a(x+d)^2+e where d=b/2a and e=c-b^2/4a

example:x^2+4x+1=0

complete the square:

d=b/2a=4/2(1)=2

e=c-b^2/4a=1-4^2/4(1)

e=1-16/4=-3

a(x+d)^2+e

1(x+2)^2-3=0

check if it is rigt: (x+2)^2=x^2+4x+4

x^2+4x+4-3=

x^2+4x+1 it is correct

Answer:

Out of the 4 + 6 + 2 + 2 + 3 + 4 + 6 + 3 = 30 total students, 4 + 3 = 7 are freshmen so the answer is 7 / 30 * 100 = 23%.

Answer:

23%

Step-by-step explanation:

4 + 6 + 2 + 2 + 3 + 4 + 6 + 3

There are total of 30 students.

4 + 3

7 students are freshman.

Find the percentage.

7/30 × 100

700/30 = 23.333333...

Round to nearest whole percent.

⇒ 23%

Answer:

The answer is below

Step-by-step explanation:

Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amount of dough for a medium pizza to be 3/2 times the amount of dough for a small pizza. And, he wants the amount of dough for a large pizza to be 5/2 times the amount of dough for a small pizza. Also, the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. So, he needs to determine how much dough to use for a small pizza. Use this information to complete the following tasks.

Answer:

Let the amount of dough needed for a small pizza be S, the amount of dough needed for a medium pizza be M and the dough needed for a large pizza be L.

The amount of dough for a medium pizza to be 3/2 times the amount of dough for a small pizza, therefore:

M = (3/2)S

The amount of dough for a large pizza to be 5/2 times the amount of dough for a small pizza. Therefore

L = (5/2)S

the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. That is:

L = M + S

(5/2)S = (3/2)S + S

5S = 5S

The equation cannot be solved.

But if he wants the amount of dough for a large pizza to be 5/2 kg.

L = M + S

(5/2) = (3/2)S + S

S = 1 kg

Answer:

Below.

Step-by-step explanation:

Step 1:  it is  5  x 10^-6 not 5 x 10^-5.

Step 5 : the result of the addition is 170 x 10^-4 not 170 x 10^-8.

Answer: yes that is correct explanation:

Answer:

Solution,

Onions less than 60 grams = 2 --> Pickling

Onions greater than 120 grams = 5 + 3 = 8 --> Market

Onions between 60 and 120 = 13---> Processing

Total frequency = 2 + 8 + 13 = 23

Now,

[tex]x = \frac{13}{23} \times 360[/tex]

[tex]x = 203.48[/tex]

[tex]x = 203.5[/tex]

Hope this helps ..

Good luck on your assignment...

Answer:

x=190°

Step-by-step explanation:

find the frequency of the given numbers dividing by their numbers

onions less than 60g=(2+2/2)=²/9

onions greater than 120g=(5+3/2)= 4 (4+3/2). =3.5/9

To convert into degrees so that they can fit in the bar graph multiply the frequencies by 360 that is:

picking=²/9×360=80°

market=3.5/9×360=90°

x=360°-90°-80°

x=190°

confirmation

pie chart° add up to 360°

picking=80°

market=90°

x=190°

190°+80°+90°=360°

Answer:

7^1/3 * y^1/3

Step-by-step explanation:

(7y) ^ 1/3

We know that (ab) ^c = a^c * b^c

7^1/3 * y^1/3

Answer:

7^1/3 * y^1/3

Step-by-step explanation:

7^1/3 * y^1/3

answer on image attached. pls give brainliest :)

Answer:

hope its helpful........

Answer:

D

Step-by-step explanation:

Answer:

The answer is $60. $30 × 12 = $360 – $300 = $60.

Step-by-step explanation:

Answer:

distance between the two ships changing at that time is 36 mph

Step-by-step explanation:

given data

ship = 40 mi from port

ship moving = 30 mph

oil tanker = 30 mi from port

oil tanker moving = 20 mph

solution

we will apply here pythagoras theorem so we get here

x² + y² = L²   .....................1

here x is distance of ship from port

and y is distance of oil tanker from port

and L is distance between oil tanker and ship

so put here value and we get

40² + 30² = L²

L = 50 mile

now we differentiate equation1 with respect to time t

[tex]2x\ \frac{dx}{dt} + 2y\ \frac{dy}{dt} = 2L\ \frac{dL}{dt}[/tex]      ...............2

put here value  and we get

40 × 30 + 30 × 20 = 50 × [tex]\frac{dL}{dt}[/tex]  

[tex]\frac{dL}{dt}[/tex]   = 36 mph

so distance between the two ships changing at that time is 36 mph

Answer:

4x-12-8=16

4x=16+8+12

4x=36

x=9

Answer:

No solutions

Step-by-step explanation:

4 + 4x - 3 = 4x + 5

4x + 1 = 4x + 5

Add -4x and -1 on both sides.

4x - 4x = 5 - 1

0 = 4

There are no solutions.

Answer:

FIRST.  Multiply both sides of the bottom equation by 2

Step-by-step explanation:

12x - y = 26

  ×2        ×2

24x - 2y = 52

-2 is opposite to 2

Answer:

Z.

Step-by-step explanation:

A function must pass the Vertical Line Test. No 2 y-values can have the same x-values. Since the first 3 graphs fail to pass the vertical line test, our answer is Z.

Answer:

33. numbers are being increased by a certain number, that number being increased by 2 every time

Step-by-step explanation:

Answer:

It intersects the x-axis at x = 10

Step-by-step explanation:

Step 1: Find slope m

m = (5 - 1)/(5 - 9)

m = 4/-4

m = -1

y = -x + b

Step 2: Find b

5 = -5 + b

b = 10

Step 3: Rewrite equation

y = -x + 10

Step 4: Find x when y = 0

0 = -x + 10

-10 = -x

x = 10

So the graph crosses the x-axis at 10.

Step-by-step explanation:

Equation 1: [tex]3x^{2} +7x-6[/tex]

Step 1: Write a quadratic equation in standard form choosing your own coefficients and constant.

Conditons that need to be satisfied: B can be 0 in only one question, parabola should open up and have a negative y intercept.

1. The parabola should open upwards: a> 0

2. [tex]3x^2+7x-6[/tex] (a>0), y-int is negative (0s for x's)

                     3(0)^2 + 7(0) -6

                                   y= -6

Step 2:

1. Factor the original equation: (3x-2)(x+3)

x=2/3, -3

2. Strategy used (factor by grouping)

Equation 2: -[tex]x^{2}[/tex] + 3x - 6

Equation 2 should represent a parabola that opens down and has a negative y-intercept.

Parabola that opens down = a<0

Ax^2 + Bx + C

-[tex]x^{2}[/tex] + 3x - 6

Negative y-intercept: -(0)^2 +3(0) -6 = y= -6

Strategy to solve: Quadratic formula

Why? - This equation doesn't factor cleanly.

Show your work:

a= -1 b= 3 c= -6

Write the quadratic formula down ([tex]x= \frac{-b + \sqrt{b^{2} - 4ac } }{2a}[/tex]) ± not just +

Show step, solve.

x​= 1.5 + 1.9365i

Equation 3:

Sorry, I can't do this.

Equation 4 :[tex]x^{2} -1[/tex]

You decide.

Alright, easy parabola.

1. Does parabola open up or down. UP

2. Is there a vertical stretch or compression? NO

3. What is the y-intercept- (0,-1)

[tex]x^{2} -1[/tex]

Strategy: Simple factoring patterns (Difference of squares) -

(x+1)(x-1)

x = + 1

Show work: x^2 is square of x,

Equation 5: [tex]x^{2} -3x+15[/tex]

x^2−3x+15

a=1 b= -3 c=15

([tex]x= \frac{-b + \sqrt{b^{2} - 4ac } }{2a}[/tex]) ± not just +

Good luck! Sorry that I couldn't do equation 3, vertical stretches are not my thing.

Answer:

i think maybe 5 routs or 7

Step-by-step explanation:

there are diffrent ways to get to rides

There are total 120 possible routes available.

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items, where the order of the selection does not matter.

Given that, You are planning a trip to Disney World and you want to get through these five rides the first day: Space Mountain, Tower of Terror, Rock 'n' Roller Coaster, Mission Space, and Dinosaur.

Since, there are 5 five ride, so possible rides = 5!

= 5x4x3x2x1

= 120

Hence, There are total 120 possible routes available.

For more references on combinations, click;

https://brainly.com/question/19692242

#SPJ3

Answer:

For example, the position of a planet is a function of time. ... A function is a process or a relation that associates each element x of a set X, the domain of the function, to a single element y of another set Y (possibly the same set), the codomain of the function.

Step-by-step explanation:

Answer:

Slope would equal 3.

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

Plug in you get (8-2)/8-6)

Simplify (6)/(2)=3

Step-by-step explanation:

Answer:

40cm²

Step-by-step explanation:

The lateral area is the sum of the faces's area

let La be the lateral area

La= 4*5*2= 20*2= 40 cm²

Answer:

248.96 which is approximately 249

Step-by-step explanation:

2.2^7

The coefficients are;

1,7,21,35,35,21,7,1

So the terms we want to use are 1,7,21 and 35

We can write 2.2 as 2+ 0.2

So the approximations are;

1(2)^7(0.2)^0 + 7(2)^6(0.2) + 21(2)^5(0.2)^2 + 35(2)^4(0.2)^3

= 128 + 89.6 + 26.88 + 4.48 = 248.96

Answer:

  [tex]\dfrac{(4x-6)^3}{2}(x+1)[/tex]

Step-by-step explanation:

Maybe you want your verbiage written as a mathematical expression.

"the difference of 4 times x and 6" is (4x -6). "the sum of x and 1" is (x+1).

No other grouping is indicated, so we have ...

  [tex]\boxed{\dfrac{(4x-6)^3}{2}(x+1)}[/tex]

Answer:

2869

Step-by-step explanation:

7,840 - 4,971

Subtract.

= 2869

Answer:

0 2,869

hopefully this helped :3