An item on the sale rack at a local supermarket was marked $3.42. The original price
of the item was $4.75.
What was the percent of the discount?

Answer: [tex]2x^{2} + 5x -3[/tex]

Step-by-step explanation:

Find the quotient of  [tex]\frac{16x^4+40x^3-24x^2}{8x^2}[/tex]

Step 1: Break down the polynomial equation

[tex]\frac{16x^4}{8x^2}[/tex] + [tex]\frac{40x^3}{8x^2}[/tex] - [tex]\frac{24x^2}{8x^2}[/tex]

Step 2: Divide each piece by dividing the coeffients and subtracting the variables.

16 ÷ 8 = 2

[tex]x^{4}[/tex] - [tex]x^{2}[/tex] = [tex]x^{2}[/tex] → 2[tex]x^{2}[/tex]

40 ÷ 8 = 5

[tex]x^{3}[/tex] - [tex]x^{2}[/tex] = [tex]x[/tex] → 5[tex]x[/tex]

- 24 ÷ 8 = - 3

[tex]x^{2}[/tex] - [tex]x^{2}[/tex] = 1 → - 3

Step 3: Put the polynomial together

2[tex]x^{2}[/tex] + 5[tex]x[/tex] - 3

Answer:

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

Answer:

2.51

2.51 meters per second is the speed of skater traveling if they are moving at a rate of 5.6 mile per hour.

To convert from miles per hour (mph) to meters per second (m/s), we will need to use the following conversion factors:

1 mile = 1609.34 meters

1 hour = 60 × 60 = 3600 seconds

Given the skater's rate of 5.6 mph:

Speed in m/s

= (5.6 mph) × (1609.34 m/mile) / (3600 s/hour)

≈ 2.51 m/s

So, the skater is traveling at a rate of approximately 2.51 meters per second.

Learn more about speed here:

https://brainly.com/question/5082291

#SPJ3

Answer:

somos

Step-by-step explanation:

somos means us

Ricardo and us

Answer:

a. 2x +5

b. Pic attached

c. f(4) = 2•4 +5

f(4) = 8 +5

f(4) = 13

d. Domain: all the real numbers

Range: all the real numbers

Step-by-step explanation:

if you are given an equation of a form y=kx+b, k is gradient and b is y-intercept

in c you can write this equation as y=(2x/3)-2,so gradient = 2/3 and y-intercept =-2

in e:6y=2x+3

y=x/3+1/2,gradient = 1/3, y-intercept=1/2

The gradient or Slope in a linear equation is simply the value "a" in this equation : y = ax + b

And the y-intercept is simply the value b.

so for example, what is the slope of y = 5x + 3 ? What is the y-intercept ? Well the gradient (or slope) is 5, and the y-intercept is 3.

So, for a.

y = -1/2x + 8

it's pretty simple : gradient = -1/2

y intercept = 8

Now for c.

[tex]y=\frac{2x-6}{3}[/tex]

[tex]y=\frac{2}{3}x-\frac{6}{3}[/tex]

[tex]y=\frac{2}{3}x-2[/tex]

So the gradient is 2/3 and the y intercept is -2 (and not +2, be careful there is a negative sign :) )

e.

-2x + 6y - 3 = 0

6y = 2x + 3

y = (2/6)*x + (3/6)

y = (1/3)*x + (1/2)

so the gradient is 1/3

and the y-intercept is 1/2

Good luck, your the best :)

Answer:

135

Step-by-step explanation:

this seems like a continuation of the question which was answered previously

we know angle AEB=135, using vertical angle theorem, AEB and CED are congruent, so CED=135

Answer: 238$

Step-by-step explanation: 7 x 17 = 119 mutiply this x 2.00 = 238

Answer:

Step-by-step explanation:

The vertex is halfway between the focus and the directrix:

  ((-7, 7) +(-7, 3))/2 = (-14, 10)/2 = (-7, 5) . . . . vertex coordinates

The value of p is the distance from the focus to the vertex:

  7 -5 = 2 = p

In vertex form, the equation of the parabola is ...

  y = 1/(4p)(x -h)^2 +k . . . . . . vertex (h, k)

  y = 1/8(x +7)^2 +5

Answer:

6 hotdogs

Step-by-step explanation:

:)

Answer:

4 2/15

Step-by-step explanation:

Convert both fractions to have the same denominator. Find the LCM of 3 and 5 and multiply by what you need to get there. 1x5=5, 3x5=15, so 1/3 becomes 5/15, and 1x3=3, 5x3=15, so 1/5 becomes 3/15. Finally, do normal subtraction, to get 4 2/15.

Answer:90

Step-by-step explanation:

900/10 = 90

Answer: 90

Step-by-step explanation:

Answer:

C = 12.57 inches

:) have a good day

Answer:

20(95+6d)+16(200+9d)

Step-by-step explanation:

I'm not so sure about this question since I'm also learning about algebra right now.

But we know there's 20 game booths that costs 95$ and 6$ for d days

if so first we need to know how much 1 booth cost, which is $95 plus $6 per day and as an expression: 95+6d. Then there's 20 booths so we multiply it, and we need to add parentheses according to the priority rule. So it should be 20(95+6d)?

then food booths are 16(200+9d)

then we add them so

20(95+6d)+16(200+9d)

Answer:

6 gallons of gasoline

Step-by-step explanation:

1 gallon = 24 miles

you need to get 144 miles

144 divided by 24 = 6

there fore you need 6 gallons

hope it helps