1.What is (f-g)(x) ?<br> f(x)=x^4-3x^2+5x-7<br> g(x)= x^3-3x^2+3x-1

Solve the following equation for y.<br>x-5y=-18<br>

olganol [36]

Answer:

y=15x+185

Step-by-step explanation:

Step 1: Add -x to both sides.

x−5y+−x=−18+−x

−5y=−x−18

Step 2: Divide both sides by -5.

−5y−5=−x−18−5

y=15x+185

6 0

2 years ago

(11x^2+5y^2-8xy)+(x^2-7y^2+4x)

CaHeK987 [17]

Answer:

4x2 - 3xy - 9y2

Step-by-step explanation:

7 0

2 years ago

Jean drove 64 miles per hour for a total of 448 miles on a trip. She used the equation below to calculate the time, t, it would

Alexandra [31]

Answer:

Step-by-step explanation:

since there is no given formula I'm guessing that's what we want to find?

use the dist. = rate * time formula for this kind of problem

or d = r*t ( this looks like the word "dirt" to me so I call this the dirt formula partly b/c it's dirt simple, and it's generally about moving across some give dist. of dirt :P )

so Jean's rate is 64 MPH

her total distance is 448 miles

rearrange the d = rt formula so that you are solving for the thing you don't know.. yet.... t (time) for this case

soooo...

d/r = t

plug in number

448 / 64 = t

7 = t (in hours)

7 0

2 years ago

HELPPPP<br> please help me answer this question-

erik [133]

Answer:

$\displaystyle GH = 2 \sqrt{30}$

$\displaystyle FH = 2 \sqrt{10}$

$\displaystyle m \angle G = {30}^{ \circ}$

Step-by-step explanation:

<h3>QUESTION-2:</h3>

we are given a right angle triangle

it's a 30-60-90 triangle of which FH is the shortest side

remember that,in case of 30-60-90 triangle the the longest side is twice as much as the shortest side thus

our equation is

$\displaystyle 2FH=4\sqrt{10}$

divide both sides by 2

$\displaystyle\frac{2FH}{2}= \frac{ 4 \sqrt{10} }{2}$

$\displaystyle FH =2 \sqrt{10}$

<h3>Question-1:</h3>

in order to figure out GH we can use Trigonometry because the given triangle is a right angle triangle

as we want to figure out GH we'll use sin function

remember that,

$\displaystyle \sin( \theta) = \frac{opp}{hypo}$

let our opp, hypo and $\theta$ be GH, 4√10 and 60° respectively

thus substitute:

$\displaystyle \sin( {60}^{ \circ} ) = \frac{GH}{4 \sqrt{10} }$

recall unit circle:

$\displaystyle \frac{ \sqrt{3} }{2} = \frac{GH}{4 \sqrt{10} }$

cross multiplication:

$\displaystyle 2 GH = 4 \sqrt{10} \times \sqrt{3}$

simplify multiplication:

$\displaystyle 2 GH = 4 \sqrt{30}$

divide both sides by 2:

$\displaystyle GH = 2 \sqrt{30}$

<h3>QUESTION-3:</h3>

Recall that, the sum of the interior angles of a triangle is 180°

therefore,

$\displaystyle m \angle G + {60}^{ \circ} + {90}^{ \circ} = {180}^{ \circ}$

simplify addition:

$\displaystyle m \angle G + {150}^{ \circ} = {180}^{ \circ}$

cancel 150° from both sides

$\displaystyle m \angle G = {30}^{ \circ}$

6 0

2 years ago

Read 2 more answers

[<br> 7<br> 5<br> ×<br> −8<br> 5<br> +<br> 7<br> 5<br> ×<br> −13<br> 5<br> ] is equal to:

wlad13 [49]

Answer:

= -16500

Step-by-step explanation:

(75)(−85)+(75)(−135)

=−6375+(75)(−135)

=−6375+−10125

=−16500

4 0

3 years ago

1.What is (f-g)(x) ? f(x)=x^4-3x^2+5x-7 g(x)= x^3-3x^2+3x-1