The function h(x)= -x2 +6x Models the path of water in a fountain in meters. The function represents the vertical distance, H, as a function of the horizontal distance, X. What is the value of H2?

Answer:

15

Step-by-step explanation:

12-k

12- (-3)

12+3

=15

Answer:

15

Step-by-step explanation:

Substitute the variable, "k" into "12-k" from the equation "k=(-3).

12-k

12-(-3)

12+3---> two negatives make a positive

15

Answer:

In this formula, a, b, c and d are the coefficients of the equation describing one of the planes and x1, y1 and z1 are the coordinates of a point in the other plane. The format for the equation of the plane is ax + by + cz + d = 0. If the planes are not parallel, the distance is zero.

Step-by-step explanation:

Answer:

About 22

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

Answer:

The reasoning is  a deductive.

  The reason is because the pattern of  thought is logical, here, scientific methods ( i.e mathematically obtaining and comparing the density of the coin and the  gold ) are used to support the conclusion.

Step-by-step explanation:

Gnerally the reasoning is  a deductive.

  The reason is because the pattern of  thought is logical and scientific methods (eg mathematical equation (formula for density)) are applied to arrive at the  conclusion.

Answer:

4.25

Step-by-step explanation:

-x^2 + 3x + 2 = 0

Divide by -1

X^2 -3x - 2 = 0

x^2-3x+ =2+2.25

(x-1.25)-4.25

(x-1.5)

Answer:

4

Step-by-step explanation:

if you do all the steps right you  should get 4

Answer:

It's correct answer

Step 1: Multiply 4 times x then 4 times 4

Step-by-step explanation:

Answer:

p - 6 = -14

p = -8

Step-by-step explanation:

       The difference between a number p and 6 is -14

  Let the number  = p;

Equation:

          difference between the numbers:

                         p - 6

          equality;

                         p - 6 = -14

Equation; p - 6 = -14

Solution:

                p - 6 = -14

            add (+6) to both sides of the expression;

                 p - 6 + (+6) = -14 +(+6)

                 p = -8

Answer:

37: 36

Step-by-step explanation:

You can not simplify. Have a good day!

Answer:

It should be 1/2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Add 12a + -16a

Add 26 + -4b

Answer:

100 miles

Step-by-step explanation:

Let the number of miles driven = x

Rapid Rental Car Company charges a $55 rental fee and $0.25 per mile driven.

$55 + $0.25x

55 + 0.25x

For the same car, Capital Cars charges $45 for rental fee and $0.35 per mile.

$45 + $0.35x

45 + 0.35x

Equation :

55 + 0.25x = 45 + 0.35x

The number of miles for which the companies’ charges will be the same is calculated as:

55 + 0.25x = 45 + 0.35x

Collect like terms

55 - 45 = 0.35x - 0.25x

10 = 0.10x

x = 10/0.10

x = 100 miles

The number of miles for which the companies’ charges will be the same is

100 miles.

Answer:

Find the Slope and y-intercept

Use the slope-intercept form  

y=mx+b

to find the slope  

m and y-intercept  

b.

Slope:  

1

y-intercept:  

(0,3)

Step-by-step explanation:

Answer:

24.99

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

boiling point is not related to the amount present

Answer:

6.79

Step-by-step explanation:

Divide the number of whatever you have, by the price of it in total to find the unit price.

Answer:

$6.79 per pair

Step-by-step explanation:

1. Divide

33.95/5

2. Simplify

33.95/5=$6.79

Answer: A. 23

23 - Width

23x2 = 46

46+3 = 49

So..

49 - Length

lx2+wx2 = perimeter

49x2 = 98

23x2 = 46

98+46 = 144

The width of the television will be 23 inches. Then the correct option is A.

Let W be the rectangle's width and L its length.

The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be

Perimeter of the rectangle = 2(L + W) units

The length of a rectangular television is 3 inches longer than its width. The display has a 144-inch perimeter. Then the equation is given below.

L = 2W + 3                  ...1

144 = 2(L + W)            ...2

From equations 1 and 2, then have

144 = 2(2W + 3 + W)

72 = 3W + 3

3W = 69

W = 23 inches

The width of the television will be 23 inches. Then the correct option is A.

More about the perimeter of the rectangle link is given below.

https://brainly.com/question/15287805

#SPJ2

Answer:

 [tex]\frac{1}{3}[/tex]n  + 4  = 6  

6

Step-by-step explanation:

Given problem:

      4 more than one third of a number n is 6

Unknown:

The equation = ?

Solution of the number  = ?

Solution:

 let the number  = n

So, 4 more than one third of a number;

  One third of n = [tex]\frac{1}{3}[/tex]n

  4 more;

                [tex]\frac{1}{3}[/tex]n  + 4

   is 6;

             [tex]\frac{1}{3}[/tex]n  + 4  = 6   (equation of the expression)

Let us now solve the equation:

                         [tex]\frac{1}{3}[/tex]n  + 4  = 6  

                    [tex]\frac{1}{3}[/tex]n = 6 - 4

                   [tex]\frac{1}{3}[/tex]n = 2

                     n = 6

Answer:

The answer is 5³.

Step-by-step explanation:

You have to apply Indices Law :

[tex] {a}^{m} \times {a}^{n} ⇒ {a}^{m + n} [/tex]

[tex] {a}^{m} \div {a}^{n}⇒ {a}^{m - n} [/tex]

[tex] { ({a}^{m} )}^{n} = {a}^{mn} [/tex]

So for this question :

[tex]( {( {5}^{2}) }^{3} \times {5}^{4} ) \div {5}^{7} [/tex]

[tex] = ( {5}^{6} \times {5}^{4} ) \div {5}^{7} [/tex]

[tex] = {5}^{10} \div {5}^{7} [/tex]

[tex] = {5}^{3} [/tex]

Answer:

the cist of entry for x adults

Answer:

i think it would be d)

Step-by-step explanation:

cuz like, it says to write an expression. for an expression, most of the time you need more than one like number and variable

hope this helped :)

Answer:

F

Step-by-step explanation:

Answer:

9/8

Step-by-step explanation:

change in y/change in x= slope

so in this case -9/-8 or 9/8 bc the negatives cancel out

Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x = -50 cm and x = +50 cm. The charge densities on the planes are -50 nC/m² and +25 nC/m², respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x = +80 cm? (Hint:Use Gauss’ law.)

Answer:

ΔV = 2520 V

Step-by-step explanation:

We are given;

Charge density 1; σ1 = -50 nC/m² = -50 × 10^(-9) nC/m²

Charge density 2; σ2 = +25 nC/m² = +25 × 10^(-9) nC/m²

Now, formula for electric field strength is;

E = -(½ε)(|σ1| ± |σ2|)

ε is vacuum permittivity with a constant value as 8.85 × 10^(−12) C²/N.m²

|σ1| and |σ2| means we are taking the absolute values and would therefore not use the negative sign attached to them.

Now, in between x = 0 cm(0 m) and 50 cm (0.5 m), electric field generated by both charge densities would be in the same direction and thus;

E_in = -(½ε)(|σ1| + |σ2|)

E_in = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) + (25 × 10^(-9))]

E_in = -4200 V/m

In contrast, when x ≥ 50 cm (0.5 m), electric field generated by both charge densities would be in opposite directions and thus;

E_out = -(½ε)(|σ1| - |σ2|)

E_out = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) - (25 × 10^(-9))]

E_out = 1400 V/m

The magnitude of the potential difference from the origin to x = 80 cm(0.8 m) is calculated as attached;

From the attachment, we see that;

ΔV = 2520 V

Answer:

1.w+15=165

2.w equals 165 multiplied by 15

Step-by-step explanation:

There's really no step-by-step explanation  its pretty simple.

Answer:

32%

Step-by-step explanation:

32/100 is 32%

Answer:

Step-by-step explanation:

3

Answer:

The best stems would be: 1, 2, and 3

Step-by-step explanation:

When you are making the stem and leaf plots, you are using the diget in the tens place as the stem

Answer:

2

Step-by-step explanation:

The 2 points are (2,1) and (4,2) so you have to do rise over run by doing y2-y1 divided by x2-x1 which will give you 2

Answer:

9 yards

Step-by-step explanation:

-5 + 14 = 9

Answer:

y= 2b

Step-by-step explanation:

a +2b

so make a the subjects of formular

a= 2b

Answer:

y=2x

Step-by-step explanation:

Answer:

y = 2x

Step-by-step explanation:

y intercept = 0

slope = rise/run

rise = 2

run = 1

2/1=2

slope is 2