Solve the equations -5(x + 3) = 25. Write the problem on the sketch pad then solve the problem algebraically. I need the answer and how you work it out :)

Answer:

Step-by-step explanation:

Im not sure if u need to use shapes, but I will since it says in the example

4x - put it in a square box

2x - also in a square box

3 - in a circle box

1 - in a circle box

combine like terms

4x+2x=6x

3+1=4

6x+4

Answer:

Step-by-step explanation:1) Find the domain of the given function. f(x) = square root of quantity x plus three divided by quantity x plus eight times quantity x minus two.

using a graphical tool    see the attachment  

the answer is C) x ≥ -3, x ≠ 2  

2. Identify intervals on which the function is increasing, decreasing, or constant.

g(x) = 2 - (x - 7)2

using a graphical tool    

see the attachment

the answer is  C) Increasing: x < 7; decreasing: x > 7

3. Perform the requested operation or operations.

f(x) = 4x + 7, g(x) = 3x2

Find (f + g)(x).

(f + g)(x) = f(x) + g(x)

(f + g)(x) = 4x + 7 + 3x^2

(f + g)(x) = 3x^2 + 4x + 7

The answer is  C) 4x + 7 + 3x2

4. Perform the requested operation or operations.

f(x) = x minus five divided by eight. ; g(x) = 8x + 5, find g(f(x)).

f(x)=(x-5)/8    g(x)=8x+5

g(f(x))=8((x-5)/8)+5=x-5+5=x

the answer is  B) g(f(x)) = x  

5. Find f(x) and g(x) so that the function can be described as y = f(g(x)).y = nine divided by square root of quantity five x plus five.

y=f(g(x))=9/((5x+5) ^1/2)

let do

g(x)=5x+5...........so

f(x)= 9/( x^1/2)

the answer is  A) f(x) = nine divided by square root of x. , g(x) = 5x + 5

6. A satellite camera takes a rectangular-shaped picture. The smallest region that can be photographed is a 4-km by 4-km rectangle. As the camera zooms out, the length l and width w of the rectangle increase at a rate of 3 km/sec. How long does it take for the area A to be at least 4 times its original size?

Original size- >4km*4km=16 km2

4 times its original size---------------4*(16km2)-----64 Km2----------- > 8 km by 8 Km

Therefore

3km----------------------------- 1 sec

(8km-4km)---------------------x

X=4/3=1.33 sec

The answer is D) 1.33 sec

7. Find the inverse of the function.

f(x) = the cube root of quantity x divided by seven. - 9

to solve, replace f(x) with y , switch x and y, solve for y and replace y with f⁻¹(x)

f(x)=((x/7)-9) ^(1/3)

replace f(x) with y

y=((x/7)-9) ^(1/3)

switch x and y

x=((y/7)-9) ^(1/3)

solve for y

x^3=((y/7)-9)

x^3+9=y/7

y=7(x^3+9)

the answer is C) f-1(x) = 7(x3 + 9)  

8. Describe how the graph of y= x2 can be transformed to the graph of the given equation.y = (x - 14)2 – 9

using a graphical tool     see the attachment  the answer is C) Shift the graph of y = x2 right 14 units and then down 9 units  

9. Describe how to transform the graph of f into the graph of g. f(x) = alt='square root of quantity x minus nine.' and g(x) = alt='square root of quantity x plus five. '

f(x)=(x-9) ^1/2  g(x)=(x+5) ^1/2

using a graphical tool     see the attachment

the answer is C) Shift the graph of f left 14 units

10. If the following is a polynomial function, then state its degree and leading coefficient. If it is not, then state this fact.

f(x) = -16x5 - 7x4 – 6

The answer is B) Degree: 5; leading coefficient: -16

11. Write the quadratic function in vertex form.y = x2 + 4x + 7

Complete the square on the right side of the equation

Use the form ax2+bx+cax2+bx+c, to find the values of a, b, and c.

a=1,b=4,c=7

Consider the vertex form of a parabola.

a(x+d)2+e

Find the value of dd using the formula d=b/2a

d=4/(2*1)=2

Find the value of e using the formula e=c−b2/4a

e=7−4=3

Substitute the values of a, d, and e into the vertex form a(x+d)2+e

(x+2)2+3

The answer is A) y = (x + 2)2+ 3

12. Find the zeros of the function.

f(x) = 3x3 - 12x2 - 15x

using a graphical tool   (see the attachment)x1=-1

x2=0

x3=5

The answer is C) 0, -1, and 5

13. Find a cubic function with the given zeros.7, -3, 2

X1=7

X2=-3

X3=2

f(x)=(x-7)(x+3)(x-2)=(x2-4x-21)(x-2)=x3-6x2-13x+42

the answer is C) f(x) = x3 - 6x2 - 13x + 42  

14. Find the remainder when f(x) is divided by (x - k).f(x) = 7x4 + 12x3 + 6x2 - 5x + 16; k = 3

f(x)=7(3)4+12(3)3+6(3)2-5(3)+16=946

 The answer is the B) 946

15.  Use the Rational Zeros Theorem to write a list of all potential rational zerosf(x) = x3 - 10x2 + 4x - 24

The constant term of () is -24

The leading coefficient is 1.

We have to only consider the factors of the constant (leading coefficient = 1)

The factors are 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 24, -24

The answer is A) ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24

Answer:

Step-by-step explanation:

A = 48/20

B = 20/48

Answer:

[tex]2x^{2}[/tex]-24xy+15y

Step-by-step explanation:

Answer:

I can do the top 2

1. a = -11

2. z = 9/2           (or nine over two in word form)

Step-by-step explanation:

Answer:

I think B

Step-by-step explanation:

It's not a square when you cut it since after you cut one side the length would by 4cm by 5cm so there for it's not a square but a rectangle

sorry if it's wrong

Answer:

(2,3)

Step-by-step explanation:

Answer:

(2,3)

Step-by-step explanation:

Once again the answer to the equations is where the two lines intersect and they intersect at (2,3)

Answer: $5.19

Step-by-step explanation:

If there are 40 working hours in a week and 52 weeks in a year, 40 * 52 should be the amount of working hours in a year.

40 * 52 = 2080 working hours

Nate needs $900 to live each month and there are 12 months in a year, so $900 * 12 would equal how much he spends per year.

$900 * 12 = $10800

Divide $10800 by 2080 working hours to get how much he needs to make per working hour.

10800/2080 = approximately 5.19, rounded down from the nearest hundredth

He needs to make $5.19 per hour, so the answer is the last option.

Answer:

The pants will either be 25.50 or 4.50. Sorry I'm not sure if 15% off 30.00 is the number minus the original price or not.

Step-by-step explanation:

Answer:

it is b

Step-by-step explanation:

Answer:

8.9

Step-by-step explanation:

Answer:

y = 2

Step-by-step explanation:

Given

[tex]\frac{2y-1}{15}[/tex] = [tex]\frac{y}{10}[/tex] ( cross- multiply )

10(2y - 1) = 15y ← distribute left side

20y - 10 = 15y ( subtract 15y from both sides )

5y - 10 = 0 ( add 10 to both sides )

5y = 10 ( divide both sides by 5 )

y = 2

Answer:

The answer is C.6+y

............

Answer:

D = 272 ft

Step-by-step explanation:  hope this helps. pls mark me brainliest

Answer:

A) 70

Hope this helps :)

Considering that it's highest exponent is of 3, the expression 5x³ + 2x - 3 is a cubic expression.

The degree of a polynomial is given by the highest exponent.

The highest exponent of the expression 5x³ + 2x - 3 is a 3, hence it is a cubic expression.

More can be learned about the degree of a polynomial at https://brainly.com/question/24380382

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Answer:  C: cubic expression

Step-by-step explanation:

Classify the expression: 5x³ + 2x − 3

we know that

Polynomials can be classified two different ways - by the number of terms and by their degree.

so

a) By the number of terms is a trinomial, because has three terms

b) By their degree The degree of the polynomial is found by looking at the term with the highest exponent on its variable

The highest exponent is 3 so this is a 3rd degree trinomial  

therefore

Is a cubic expression

Answer:

6

Step-by-step explanation:

pls brainliest

9/2=4.5

27/4.5=6

Answer:

1 gallon

Step-by-step explanation:

7/8 + 3/8 + 4/8 = 1 6/8

3/8 + 1/8 + 2/8 = 6/8

1 6/8 - 6/8 = 1

Answer:

Chocolate Sauce: 4/8

Strawberry Sauce: 2/8

Caramel Sauce: 2/8

Chocolate Sauce

Monday, the shop had 7/8, the shop used 3/8 on Tuesday. So we subtract the numerators but the denominator stays the same.

7 - 3 = 4

So it is 4/8

Same thing for Strawberry and Caramel Sauce.

So we add the totals we got from subtracting Monday amount of toppings with Tuesday's amount of toppings.

4/8 + 2/8 + 2/8 =

**I hope this helped! :)

Answer:

7

Step-by-step explanation:

divide 66.5 by 9.5

Answer:

80n + 20

Step-by-step explanation:

20 stays the same because it's a one time fee. Then, for every night the Harvey family stays, it costs them eighty dollars. So, it's 80n + 20

Answer: 80n+20

Step-by-step explanation:

80 is the cost of nights you stayed but you don’t know the number of nights they dated so you place n next to 80 and they payed an additional 20 fee so you add that to 80n

Answer:[tex]\frac{17}{35}[/tex]

Step-by-step explanation:

Given

The bag contains 6 orange and 9 lime sweets

For both sweets of the same flavor, Jodi must either choose orange or lime

No. of ways it can be done is [tex]^6C_1\times^5C_1+^9C_1\times^8C_1[/tex]

The total no of ways of selecting two sweets out of 15 is [tex]^{15}C_1\times^{14}C_1[/tex]

The probability that both sweets are the same flavor

[tex]P=\dfrac{^6C_1\times^5C_1+^9C_1\times^8C_1}{^{15}C_1\times^{14}C_1}=\frac{102}{210}=\frac{51}{105}=\frac{17}{35}[/tex]

Answer:

Step-by-step explanation:

Area of square = 144 sq ft

Area of circle = πr² = 36π sq ft

Total area = (144+36π) sq ft

Square section of pond is 10 ft by 10 ft, area = 100 sq ft

Circular area of pond has diameter of 8 ft.

Area = πr² = 16π sq ft

Area of pond = (100+16π) sq ft

Area of border = (144+36π)-(100+16π) = (44+20π) sq ft

Answer:

Yes god is really good

Step-by-step explanation:

Answer:

1 is the correct answer

Step-by-step explanation:

Answer:

116

Step-by-step explanation:

Answer: x8

Step-by-step explanation:

Answer:

x=1 and y= -4

Step-by-step explanation:

step one: plug -4x into y in thi]e first equation.

2x+5(-4)= -18

step two: solve for x

2x-20= -18

(add 20 to both sides to eliminate -20 on the right)

2x=2

(divide both sides by 2 to get x by its self)

x=1

step 3: now that we found the value for x plug it in to either equation and solve for y

y= -4x

y= -4(1)

y= -4

Answer:

c-17=x>33

c=51

Step-by-step explanation:

The value of number c should be greater than 50.

It is given that difference of a number c and 17 is more than 33.

We have to find out the value of number c.

What do you mean by algebraic expressions ?

The algebraic expressions are those which are made up of variables, constants and algebraic operations i.e., addition, subtraction, etc.

As per the question ;

The difference of c and 17 is more than 33.

i.e.,

difference of c and 17 meant ; 17 should be subtracted from c and this is greater than 33.

i.e.,

c - 17 > 33

c > 33 + 17

c > 50

Thus , the value of number c should be greater than 50.

To learn more about algebraic expressions click here ;

https://brainly.ph/question/20786412

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