Find the solution to the system of equations using graphing
y = -7/4x - 4
y = - 1/4x + 2

Answer:

Step-by-step explanation:

Scale factor is:

Ratio of surface areas is:

Surface area will be 25 times smaller

Correct choice is D

We know the ratio of sides to area

So

If diameter is multiplied by 1/5

Surface are increases

25 times smaller

Answer:

5 + 2 = 27

Step-by-step explanation:

Answer:

let's take s as student

let's take p as problem

sp as student that has gotten a problem

1s × 5p + 1s × 5p + 1s × 5p + 1s × 5p + 1s × 5p

5sp + 5sp + 5sp + 5sp + 1s × 5p + 2p

20sp + 1s × 7p

20sp + 7sp

27sp

here's the solution,

volume of cone :

=》

[tex]v = \dfrac{1}{3} \pi {r}^{2} h[/tex]

=》

[tex]21 = \dfrac{1}{3} \times 3.14 \times4 {}^{2} \times h [/tex]

=》

[tex]h = \dfrac{21 \times 3}{3.14 \times 16} [/tex]

=》

[tex]h = 1.253[/tex]

height = 1.25 ft (approximate)

Answer:

A, f = 4

Step-by-step explanation:

f + 8 ≤ 12

-8       -8

f ≤ 4

Answer:

The answer is 4

Step-by-step explanation:

this is because the line under the greater than symbol can also mean equal since it has a line under it 8 + 4 = 12 = 12

Answer:

A. 9 quarts

Step-by-step explanation:

Since he wants to triple the recipe you would multiply the 12 cups by 3 to get 36 cups and then you would convert the cups into quarts and 36 cups is equal to 9 quarts

Answer:

314

Step-by-step explanation:

Answer:

314

Step-by-step explanation:

R= half of d

d= 20

20/2= 10

r=10

Plug into formula:

3.14(10)^2

= 314

Answer:

I think the first one would be 49 and then 61 hope it helps :)

Answer:

C

Step-by-step explanation:

53 + 44 + x = 180

97 +x = 180

x = 83

Answer:

36 problems correctly

Step-by-step explanation:

48*.75

Answer:

36

Step-by-step explanation:

Answer:

(a) Their rates of change differ by 2

Step-by-step explanation:

Given

See attachment for functions M and P

Required

Determine what is true about the rates of M and P

First, we calculate the slope (i.e. rate) of both functions.

Slope is calculated as:

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

From the table of M, we have:

[tex](x_1,y_1) = (-2,-9)[/tex]

[tex](x_2,y_2) = (2,11)[/tex]

So, the slope is:

[tex]m_M = \frac{11 --9}{2--2}[/tex]

[tex]m_M = \frac{20}{4}[/tex]

[tex]m_M = 5[/tex]

For function P, we have:

[tex]y = 7x + 9[/tex]

A function is represented as:

[tex]y = mx + b[/tex]

Where:

[tex]m = slope[/tex]

So, by comparison:

[tex]m_P = 7[/tex]

At this point, we have:

[tex]m_M = 5[/tex] --- Slope of M

[tex]m_P = 7[/tex] --- Slope of P

Only option (a) is true because both slopes differ by 2. i.e. 7 - 5 = 2

Other options are not true

Answer:

202 cm

Step-by-step explanation:

You need to add the areas of the faces, and since it is a cuboid opposite faces are the same. If you do 2(5x9) + 2(4x9) + 2(4x5) you will get your answer.

Answer:

Hello Love! Answer: 202

Step-by-step explanation:

First off we have to do all 6 faces remember that each face will have a matching face that goes along with it so Imma start with the front face that would be 9 x 5 = 45 same for back face

Then ill do sides that will be 5 x 4 = 20 for both left and right sides Then ill do top and bottom

thats 4 x 9 = 36 Now ill add all of these up.

So 45 + 45 + 20 + 20 + 36 + 36 and that = 202

Answer:

Sec(θ) = 3

Step-by-step explanation:

First, we know that:

Sec(x) = 1/Cos(x)

Now we have an angle θ in the intersection between the line y = 3x and the x-axis.

Here we can think of this as a triangle rectangle, such that:

x is the adjacent cathetus to θ

y is the opposite cathetus to θ

y = 3*x is the hypotenuse.

Here we also need to remember the relation:

Cos(θ) = (adjacent cathetus)/(hypotenuse)

Then we will get:

Cos(θ) = x/(3*x) = 1/3

If we multiply both sides by 3, we get:

Cos(θ)*3 = (1/3)*3 = 1

Cos(θ)*3 = 1

Now we can divide both sides by Cos(θ)

[Cos(θ)*3]/Cos(θ) = 1/Cos(θ)

3 = 1/Cos(θ)

And  1/Cos(θ) = Sec(θ)

Then:

3 = Sec(θ)

The exact value of sec theta is 3.

Answer:

can you show more?

Step-by-step explanation:

Answer:

okay

Step-by-step explanation:

SO MARK THE PERIMETER AND THE FORMULA FOR FINDING TRAPEZUIM IS

area=1/2 (a+b)h

Answer:

144 cm²

Step-by-step explanation:

5x + 12x + 6x + 5x = 56

=> 28x = 56

=> x = 2

DC => 6x = 6(2) = 12

AB => 12x = 12(2) = 24

BC => 5x = 5(2) = 10

AD => 5x = 5(2) = 10

trapezium is an isosceles trapezium because a trapezium with a pair of non-parallel sides(BC&AD) that have equal distances, which are congruent, is an isosceles trapezium.

Thus, the base of the two triangles on each side are congruent.

base: (AB - DC) ÷ 2 = (24 - 12) ÷ 2 = 6

calculate the height using Pythagorean theorem => √10² - 6² = 8

area of the isosceles trapezium ABCD: (12 + 24) × 8 ÷ 2 = 144

Answer:

number 4-

X=11.207

Step-by-step explanation: Caculate the angle of B first. B=105

Then find side a and b

Answer: The answer is 280 ft.

Step-by-step explanation:

divide the green area into a triangle and a rectangle so it's easier to calculate. Then find the area of the rectangle by multiplying 14 times 16. That should get you 224. Then, find the area of the tringle by multiplying 14 times 18, times 1/2. That will get you 56. If you add 56 to 224, that gets you 280.

Answer:

(a) Domain: All real numbers except -2

(b) [tex]f(x) > -4[/tex]

Step-by-step explanation:

Given

See attachment for f(x)

Solving (a): The domain

From the attached image, we have:

[tex]f(x) = -x - 2, x <-2[/tex]

[tex]f(x) = -x^2, -2 < x < 0[/tex]

[tex]f(x) = x, x \ge 0[/tex]

To get the domain, we consider the inequalities attached to each of the piece-wise function

[tex]x < -2[/tex]

This implies that the values of x is less than -2 i.e.

[tex]x = \{.......,-4,-3\}[/tex]

[tex]-2< x<0[/tex]

This implies that x is greater than -2 and less than 0 i.e.

[tex]x = \{-1\}[/tex]

[tex]x \ge 0[/tex]

This implies that x is greater than or equal to 0 i.e.

[tex]x =\{0,1,2,3,....\}[/tex]

If these values of x are merged, we have:

[tex]x = \{.......,-4,-3,-1,0,1,2,3.....\}[/tex]

[tex]x = \{-\infty,..,-4,-3,-1,0,1,2,3,...,\infty\}[/tex]

-2 is not included in the above values of x.

Solving (b): The range

From the attached image, we have:

[tex]f(x) = -x - 2, x <-2[/tex]

[tex]f(x) = -x^2, -2 < x < 0[/tex]

[tex]f(x) = x, x \ge 0[/tex]

Substitute the greatest value of x in each piece-wise function.

[tex]f(x) = -x - 2, x <-2[/tex]

[tex]x=-2[/tex]

So;

[tex]f(-2) = -2-2 = -4[/tex]

[tex]f(x) = -x^2, -2 < x < 0[/tex]

[tex]x = -2[/tex]

So:

[tex]f(-2) = -2^2 = -4[/tex]

[tex]f(x) = x, x \ge 0[/tex]

[tex]x = \infty[/tex]

So;

[tex]f(\infty) = \infty[/tex]

We have:

[tex]f(-2) =-4[/tex]

[tex]f(-2) =-4[/tex]

[tex]f(\infty) = \infty[/tex]

The smallest value of f(x) is -4

Hence, the range is:

[tex]f(x) > -4[/tex]

Answer:

Domain is

B)

(-infinity, -2) U (-2, infinity)

Range is (-4, infinity)

Step-by-step explanation:

go it correct

edge2022

Answer:

5

Step-by-step explanation:

Plug in 6 in place of x in the expression

1/2x+2

1/2(6)+2

3+2

5

Answer:

5

Step-by-step explanation:

We are given the expression 1/2x + 2 and are asked to find the value when x = 6.

To solve, all we need to do is to substitute x with 6 :

1/2(6) + 2

Multiply 6 by the 1 in the fraction :

6/2 + 2

Divide 6 by 2 :

3 + 2

Add :

5

Answer:

72 rods

Step-by-step explanation:

First, find the volume of each rod, using the formula V = [tex]\pi[/tex]r²h

Plug in pi, the radius, and height, and solve:

V = [tex]\pi[/tex]r²h

V = (3.14)(2²)(60)

V = (3.14)(4)(60)

V = 753.6

So, each rod has 753.6 cm³ of steel.

Divide 54,259.2 by this to find how many rods it will make:

54,259.2 / 753.6

= 72

So, it will make 72 rods.

Answer:

Approximately = 131 employees in total

Step-by-step explanation:

if the 55 employees who work overtime make up approximately 42% of all employees at the company, how many employees are there in total?

Let us represent total number of employees = x

Hence,

42% of x = 55 employees

42/100 × x = 55

42x/100 = 55

Cross Multiply

42x = 100 × 54

x = 100 × 55/42

x = 130.95238095 employees

Therefore, there is approximately a total 131 employees

Answer:

12xy - 4x - 2y

Step-by-step explanation:

9xy - 4x + 3yx - 2y

3yx can be written as 3xy so we have:

12xy - 4x - 2y

Answer:

3) 2p - 4

1) 8 - d

2) (d + 9) - 6

3) 1/2(x + s)

Answer:

9 and 2: 1

10 and 4: 2

Step-by-step explanation:

9: 1, 3, 9

2: 1, 2

Answer: 1

10: 1, 2, 5, 10

4: 1, 2, 4

Answer: 2

Answer:

I think a and b are 0.0 im not 100% sure 0 cannot be divided but a+b/0+0=0 so i guess zero is your answer sorry if this doesn't help :(

Answer:

i think zero

Step-by-step explanation:

I'm gonna pack my things and leave you behind

This feeling's old and I know that I've made up my mind

I hope you feel what I felt when you shattered my soul

'Cause you were cool and I'm a fool

So please let me go

But I love you so (please let me go)

I love you so (please let me go)

I love you so (please let me go)

I love you so

Answer:

solution is in attachment

hope it helps

Answer:

Solution given;

2x²+4x-6

2x²+6x-2x-6

2x(x+3)-2(x+3)

(x+3)(2x-2)

is your answer

Answer:

2(x + 3)(x - 1)

Step-by-step explanation:

Given

2x² + 4x - 6 ← factor out 2 from each term

= 2(x² + 2x - 3) ← factor the quadratic

Consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (+ 2)

The factors are + 3 and - 1 , since

3 × - 1 = - 3 and 3 - 1 = + 2 , then

x² + 2x - 3 = (x + 3)(x - 1) , so

2x² + 4x - 6 = 2(x + 3)(x - 1) ← in factored form

Answer:m>1

Step-by-step explanation:

You add 3 to both sides because you minusing the 3. Then since your working with a negative you have to switch the signs