Josh estimates the height of his desk. what is the reasonable estimate?…

Mashcka [7]

Hi there! With equations like this we want to get our variable on one side and and our constant on the other.

So with 2x + 3 = -7 you'd subtract the constant 3 from both sides of the equal sign to get 2x = -10, then you'd divide both sides by 2 to get x = -5. If you double check your work by replacing x in the original equation with our answer we'd find that 2(-5) + 3 = -7 is correct.

Hope you find this helpful :)

4 0

3 years ago

G(x)=x^3+5x h(x) =x+3 find (g+h)(x)

exis [7]

$(g+h)(x) = x^3+6x+3$

Step-by-step explanation:

The operations on functions can be performed as they are performed on polynomials

The addition of functions is used in the given question

Given

$g(x)=x^3+5x\\h(x)=x+3$

We have to find:

$(g+h)(x)=g(x)+h(x)\\=x^3+5x+x+3\\=x^3+6x+3$

So,

$(g+h)(x) = x^3+6x+3$

Keywords: Functions, operations on functions

Learn more about functions at:

#LearnwithBrainly

7 0

3 years ago

Can someone help me with this?

creativ13 [48]

The missing values are 28° and 62°

<h3>What are perpendicular lines?</h3>

Perpendicular lines are said to be two lines that intersect or meet each other at right angles, that is 90 degrees.

From the information given, we have that;

Line AC ⊥ Line BE

Where:

m ∠ ADE = (x + 5)°
m ∠ DBE = (3x - 7)°

Hence,

x + 5 + 3x - 7 = 90

collect like terms

4x = 90 + 2

4x = 92

Make 'x' the subject

x = 92/ 4

x = 23

For the missing values

m ∠ ADE = (x + 5)° = ( 23 + 5) = 28°

m ∠ DBE = (3x - 7)° = (3(23) - 7) = 62°

Thus, the missing values are 28° and 62°

Learn more about perpendicular lines here:

brainly.com/question/17683061

#SPJ1

8 0

1 year ago

Find slope of a straight line if both intercept are equal

Juli2301 [7.4K]

Answer:

-1

Step-by-step explanation:

Let the points be <u>(0, a)</u> and <u>(a, 0)</u> (As it mentions the intercepts are equal)

==============================================================

Applying slope formula :

⇒ m = 0 - a / a - 0

⇒ m = -a/a

⇒ <u>m = -1</u>

6 0

2 years ago

A rectangular parking lot must have a perimeter of 440 feet and an area of at least 8000 square feet. Describe the possible leng

tangare [24]

Answer:

The possible parking lengths are 45.96 feet and 174.031 feet

Step-by-step explanation:

Let x be the length of rectangular plot and y be the breadth of rectangular plot

A rectangular parking lot must have a perimeter of 440 feet

Perimeter of rectangular plot =2(l+b)=2(x+y)=440

2(x+y)=440

x+y=220

y=220-x

We are also given that an area of at least 8000 square feet.

So, $xy \leq 8000$

So, $x(220-x) \leq 8000$

$220x-x^2 \leq 8000$

So, $220x-x^2 = 8000\\-x^2+220x-8000=0$

General quadratic equation : $ax^2+bx+c=0$

Formula : $x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

$x=\frac{-220 \pm \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=\frac{-220 + \sqrt{220^2-4(-1)(-8000)}}{2(-1)} , \frac{-220 - \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=45.96,174.031$

So, The possible parking lengths are 45.96 feet and 174.031 feet

3 0

2 years ago