Nelson went grocery shopping. He spent $199.89. If the sales tax is 3.5%, what is the amount of tax that Nelson must pay?

Answer:

Step-by-step explanation:

a)  Sum = - 6

Product = - 16

Factors = (-8) ; (2   {-8 + 2 = -6  ; (-8) * 2 = -16}

y = x² - 6x - 16

     = x²  + 2x - 8x - 16

     = x(x + 2) - 8(x + 2)

    = (x +2)(x -8)

b) y = 0

(x +2 )(x -8) = 0

x + 2 = 0  ;   x -  8 = 0

x = -2       ;  x = 8

(-2) ; 8 are the zeros.

Answer: 276.32cm³

Step-by-step explanation:

Surface area, A, of a cylinder is given by the formula:

A = 2*pi*r*h + 2*pi*r²

r = radius

h = height

Substituting pi for 3.14 gives:

A = (2 * 3.14 * 4 * 7) + (2 * 3.14 * 4²)

A = 276.32cm³

I've put them in brackets, but this is not necessary.

Answer:

y = -x + 8

Step-by-step explanation:

In writing an equation of a line, keep in mind that you ALWAYS need the following information in order to establish a linear equation:

1. 2 ordered pairs (x,y) on the line

2. Slope

We'll use points (1, 7) and (0, 8).

Let (x1, y1) = (1, 7)

(x2, y2) = (0, 8)

Now that we have the two ordered pairs, substitute their values into the following slope formula:

m = (y2 - y1)/(x2 - x1)

m = (8 - 7) / (0 - 1)

m = 1 / -1 = -1

Therefore, the slope of the line, m =  -1.

Next, we need to determine the y-intercept, (b).  The y-intercept is the y-coordinate of the point (0, b ) where the graph crosses the y-axis. The y-intercept is also the value of y when x = 0. Looking at the graph, we can see that it crosses the y-axis at point (0, 8). We used this point earlier to solve for the slope. The y-intercept, b = 8.

Therefore, the linear equation in slope-intercept form is: y = -x + 8.

Please mark my answers as the Brainliest if you find this helpful :)

Answer:

y = –x + 8

Step-by-step explanation:

the line is negative and decreasing by –1/1 (rise over run is the slope). a slope of 1 can be represented by writing "x". in this case the slope is –x. the b in mx+b represents the y-value that the graph starts at. in this it starts at 8.

i'm thinking infinitely.

i'm not 100% sure maybe someone else may correct me .

Answer:

a) 4 to the 14th power

b) 12 to the 9th power

c) 5 to the 7th power

d) 7 to the 3rd power

Step-by-step explanation:

a) [tex]4^{6}[/tex] · [tex]4^{8}[/tex] equals 4 to the 14th power.

Using the Product Rule of Exponents:

[tex]a^{m} a^{n} = a^{m+n}[/tex]

You could add the exponents since they have the same base.  

b) [tex]12^{6}[/tex] · [tex]12^{3}[/tex]  equals 12 to the 9th power.

Same Product Rule applies as we did in problem a).

c) [tex]\frac{5^{10} }{5^{3} }[/tex]  equals 5 to the 7th power.

Using the Quotient Rule of Exponents:

[tex]\frac{a^{m} }{a^{n} } = a^{m - n}[/tex]

You'll have to subtract the exponents since they have the same base.

[tex]\frac{5^{10} }{5^{3} } = 5^{10 - 3} = 5^{7}[/tex]

d) [tex]\frac{7^{6} }{7^{3} }[/tex]  equals 7 to the 3rd power.

Same Quotient Rule applies as we did in problem c).

[tex]\frac{7^{6} }{7^{3} } = 7^{6 - 3} = 7^{3}[/tex]

Answer:

128561214

Step-by-step explanation:

Hope it helped you (5126789+123434425)=128561214

Answer:I am not sure.

Step-by-step explanation:

Answer:

10x = 60. Given: 10x = 60. X = 60/10. X = 6. Therefore, the value of x is 6.

Step-by-step explanation:

the value of x is 6 and the value of w is 14

Answer:

90 degress

Step-by-step explanation:

2x+14+3x+11=90

5x+25=90

5x=65

x=13

2(13)+14+3(13)+11+ X = 180

26+14 + 39 + 11 + X = 180

40+50+x=180

90+x=180

x=90

Your other angle is 90 degrees.

Answer:

8 sq. un.

Step-by-step explanation:

Answer: y=5.25x+12.50

Step-by-step explanation:

The original 12.50 is how much she pays each month regardless of rented movies, it is the 0 value and doesn't change. Each rented movie costs 5.25 (17.75-12.50=5.25) and that value would be multiplied by the amount of movies she rents that month, and then added onto the original base value.

Answer:

60,000

Step-by-step explanation:

2,967 can be rounded to 3,000

21 can be rounded to 20

3,000 x 20 = 60,000

Answer:

Step-by-step explanation:

Look at the picture.

Answer:

5x2+8x-6

the 2 is little

Answer:

5[tex]x^{2}[/tex] - 10

Step-by-step explanation:

(3[tex]x^{2}[/tex] + 4x - 8) - (-2[tex]x^{2}[/tex] + 4x + 2) = 3[tex]x^{2}[/tex] + 4x - 8 + 2[tex]x^{2}[/tex] - 4x - 2

                                              = 5[tex]x^{2}[/tex] - 10

Hope this helps :)

Answer:

A

Step-by-step explanation:

I think though im not sure

each hot dog is 50 cents. Because .50+.50+.50+.50+.50+.50+.50.50=4 We know each hot dog is worth .50 cents because a pack of 8 HD cost $4 so each HD would need to cost less that a dollar. hope this helps!

Answer:

Im not sure I think 1 because it's not that hard

9514 1404 393

Answer:

  m ≥ -√5

Step-by-step explanation:

If g(x) = f(|x|) for x∈i, then g(x) = f(x) for x∈ℝ: x ≥ 0.

f'(x) is 5th-degree, so f(x) is 6th-degree, meaning it is generally U-shaped. Since we're only concerned with x ≥ 0, we want to make sure f'(x) has no real zeros of odd multiplicity such that x > 0. The given factors of f'(x) make it have real zeros at x = -3 and x = -1.

For the last factor, (x² +2mx +5) to have no positive real zeros of odd multiplicity, we must have m ≥ 0 or the discriminant ≤ 0. The discriminant is ...

  d = b² -4ac = (2m)² -4(1)(5) = 4m² -20 . . . . . discriminant of the last factor

  d ≤ 0 . . . . . . . . . . the condition for no real zeros

  4m² -20 ≤ 0

  m² -5 ≤ 0 . . . . . . divide by 4

  m² ≤ 5 . . . . . . . . .add 5

  |m| ≤ √5 . . . . . . . take the square root

This tells us there will be a positive real zero of multiplicity 2 in f'(x) when m = -√5, and there will be no positive real zeros for -√5 < m < 0

There will be no odd-multiplicity positive real zeros in the derivative function f'(x) as long as m ≥ -√5. This means the slope of f(x) is non-negative for x ≥ 0, hence f(|x|) has its only minimum at x=0.

_____

Additional comment

The multiplicity of the zeros of f'(x) is important because the derivative will only change sign where the multiplicity is odd. When the discriminant of (x²+2mx+5) is zero, the associated positive real zero will have multiplicity 2, hence f'(x) will not change sign there.

9514 1404 393

Answer:

  vertical

Step-by-step explanation:

A rational function often tends to infinity when its denominator tends to zero. Thus the zeros of the denominator correspond to vertical asymptotes.

Answer:

4

Step-by-step explanation:

lol

Answer:

-42

Step-by-step explanation:

Hope it helps!

Answer:

(6x-8)-(-2x-10)

4x-18

Step-by-step explanation:

(x × 5) +6=41

5x + 6=41

5x =41-6

5x=35

x=(35/5)

x=7

Step-by-step explanation:

when two lines are perpendicular to each other( the product of their slope; m1m2 = -1)

m1 = -1/m2

m1 = -1/-6= 1/6

using the formula m= y-y1 / x - x1

1/6 = y -7 /x - 3

6(y -7) = x -3

6y -42 = x - 3

6y - x -39 =0

Divide both sides by 6

y - 1/6 x - 13/2= 0

y = 1/6 x + 13/2

Answer:

$0.60 (rounded)

Step-by-step explanation:

3.59 divided by 6 is 0.5983

If you round that to the nearest cent, you get $0.60

Answer: 2

(-4, 0) and (0, 0)

Step-by-step explanation:

They must travel 125 miles farther before they stop for lunch and option A is the correct answer.

We have,

The total distance of the trip is 360 miles.

They plan to stop for lunch at the midpoint of the trip, which is

360 / 2 = 180 miles.

Now,

They have already travelled 55 miles this morning.

To find out how much farther they must travel before stopping for lunch, we subtract the distance travelled from the midpoint:

180 - 55

= 125 miles.

Thus,

They must travel A. 125 miles farther before they stop for lunch.

Learn more about midpoints of line segments here:

https://brainly.com/question/13792156

#SPJ3

Answer:

100

Step-by-step explanation:

I thinks it 100 cuz 15x20= 300 and ⅓ of 300 is 100

15×20 = 300

1/3 × 300 =100

Step-by-step explanation:

15 rows multiplied by 20 seats to find out total number of seats and then you multiply by a third to find one third of the total seats

Answer:

12.12

Step-by-step explanation:

multiplye them by 2

Answer:

Step-by-step explanation:

What is that pose to mean