30 points!!!
Which graph represents the following system of inequalities?
{y < -2x+4
{y < x+3
{x < 3

By definition of tangent,

tan(A - π/4) = sin(A - π/4) / cos(A - π/4)

Expand the numerator and denominator using the angle sum identities for sin and cos:

tan(A - π/4) = (sin(A) cos(π/4) - cos(A) sin(π/4)) / (cos(A) cos(π/4) + sin(A) sin(π/4))

Divide through everything on the right by cos(A) cos(π/4):

tan(A - π/4) = (sin(A) / cos(A) - sin(π/4) / cos(π/4)) / (1 + (sin(A) sin(π/4)) / (cos(A) cos(π/4)))

Simplify the sin/cos terms to tan:

tan(A - π/4) = (tan(A) - tan(π/4)) / (1 + tan(A) tan(π/4))

tan(π/4) = 1, so we're left with

tan(A - π/4) = (tan(A) - 1) / (1 + tan(A))

Replace tan(A) with -√15:

tan(A - π/4) = (-√15 - 1) / (1 - √15)

Then the last option is the correct one.

Answer:

Ratios and Proportions

Nurses do not prescribe medicine, but they administer medication to their patients. When doing so, they use ratios and proportions to help them. ... The ratios and proportions also allow the nurse to know how long the medication will stay in the body of the patient before needing another dosage.

Step-by-step explanation:

Answer:

they are used for comparing data

Step-by-step explanation:

even im the medical feild, mathematics is an impeccable way to explain phenomenons... by using mathematical formulas ratios and fraction, data can be communicated easier and help it to be easier to understand

a home's loss of heat is equal to heat created in the home or when both sides of a seesaw are at an equal level.

Answer:

a) 1/3

b) 7/9

Step-by-step explanation:

A) there are 18 total, 6/18 is 1/3

B) there are 18 total, you add the red and green together to get 14, 14/18 is 7/9

Answer:

Yes it is a polynomial function

Answer:

a

Step-by-step explanation:

because you can't divide by 2 yet

The first step is Add 8 to both sides of the equation

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

2x - 8= 20

Now, first step to solve the equation is

Add 8 on both side

2x- 8 +8 = 20 + 8

2x= 28

and, divide both side by 2

x= 28/2

x= 14

Hence, the first step is Add 8 to both sides of the equation

Learn more about equation here:

https://brainly.com/question/10413253

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Answer:

x > 4

Step-by-step explanation:

2x+2>10 Subtract by 2 on both sides

2x>8 Divide by 2 on both sides

x>4

Answer:

Weekly: $106.25

Monthly: $425

Yearly: $5,100

Step-by-step explanation:

Answer:

Step-by-step explanation:

WEEKS:

$175 divided by 4= 43.75

100 divided by 4= $25

150 divided by 4: $37.5

TOTAL: 106.25

YEARLY:

$175 times 12: $2,100

$100 times 12: $1,200

$150 times 12: $1,800

TOTAL: 5,100

MONTHLY: $425

check the picture below.

now, we know the directrix is at y = 1, and the focus point is at 1,3, well, notice the picture, the distance between those fellows is just 2 units.

the vertex is half-way between those fellows, therefore, the vertex will be at 1,2.

the distance "p", from the vertex to either the directrix or focus, is really just 1 unit.  Since the focus point is above the directrix, is a vertical parabola, and it opens upwards, like in the picture, and since it opens up, the "p" value is positive, or +1.

Answer:

$635.25

Step-by-step explanation:

He works 35 hours a week, multiply that by $18.15 and you get $635.25.

Answer:

A. 90.24 divided by 6.3

Step-by-step explanation:

We take each option one by one and solve for it

A. 90.24 divided by 6.3

Divisor = 90.24

Dividend = 6.3

if the divisor and dividend were rounded to the nearest whole number?

= 90÷ 6

= 15

Answer:

A, I got it right on edge.

Step-by-step explanation:

Answer:

x = 31.8

Step-by-step explanation:

From the picture attached,

By applying Pythagoras theorem in right ΔADC,

AC² = AD² + CD²

(22)² = AD² + (16)²

AD² = 484 - 256

AD = √228

     = 2√57

Now we apply Pythagoras theorem in right ΔADB,

AB² = AD² + DB²

x² = 228 + (44 - 16)²

x² = 228 + 784

x² = 1012

x = √1012

  = 31.81

  ≈ 31.8

The side x is an hypotenuse side to one of the right triangles formed by

altitude of the given triangle that has solid lines.

x is approximately 31.812

Reasons:

The figure shows a triangle with an altitude that forms two triangles inside

the main triangle.

By Pythagoras's theorem, we have;

For the right triangle on the left;

22² = h² + 16²

h² = 22² - 16² = 228

h² = 228

h = √228 = 2·√57

h = 2·√57

In the right triangle to the right, we have;

The length of the top base, b = 44 - 16 = 28

The square of the hypotenuse, x² = h² + b²

∴ x² = 228 + 28² = 1012

x = √(1012) = 2·√253

x = 2·√253 ≈ 31.812

Learn more here:

https://brainly.com/question/6241683

176 adults 324 children

Answer:

The volume is 227.5

Step-by-step explanation:

The volume for a triangular prism, such as this is, (lxwxh)/2. Because in all shapes volume equals the area multiplied by the height or depth. And an area of a triangle is l or base multiplied by the altitude or w, divided by 2. So the area would be 5x7/2, 35/2, 17.5. And the volume would be 17.5x13, 227.5

Answer:

Hi Answer Is 5(5u^2+4v^2+v)

Answer:

4.5%

Step-by-step explanation:

Answer:

4.5%

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

To find the percent decrease, use the percent change formula:

(difference / original) x 100

8 - 2 = 6, so the difference is 6.

Plug in the difference and original:

(6 / 8) x 100

= 75

So, the percent decrease is 75%

Answer:

$67.5

Step-by-step explanation:

50+25=75. Then, it's 1/10 of 75 which is $7.5. Then, 75-7.5 which is $67.5

Hope this helps :D Please mark brainliest

Answer:

1750 Calories

Step-by-step explanation:

2000-1750=250

250x7=1750

(p ² q ⁵) ⁻⁴ (p ⁻⁴ q ⁵) ⁻²

= (p ⁻⁸ q ⁻¹⁰) (p ⁻⁸ q ⁻¹⁰)

= p ⁻¹⁶ q ⁻²⁰

Answer:

C

Step-by-step explanation:

6

Answer:

C

Step-by-step explanation:

It gib the funny check mark

Answer:

261.48

Step-by-step explanation:

Answer:

93

Step-by-step explanation:

Answer:

i think the answer is a number or multiple number and maybe a decimal.

Step-by-step explanation:

go to Tiger Algebra Solver

Answer:

159

Step-by-step explanation:

Answer:

the answer is 59

Step-by-step explanation:

apply

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

First, add inside the parentheses. Your equation is now 8^2-5.

8 squared is sixty four, and subtract five to get 59. Hope this helped!

Answer:

-44r+63585

Step-by-step explanation:

Answer:29045 is the answer

Step-by-step explanation:

Answer:

The answer is y=3, my friend. I hope your grade gets better <3

Step-by-step explanation:

Answer:

The value of y is 3

Step-by-step explanation:

Answer:

4) y = -1/2x + 1;

Step-by-step explanation:

maybe

or maybe not

Answer:

9x^2-12y^2-11x

Step-by-step explanation:

I took the test.