Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.


Second-degree, with zeros of −4 and 6, and goes to −∞ as x→−∞.


p(x) =

Answer:

h= 17.67 cm

Step-by-step explanation:

We have,

h=x

b=16 cm

p=7.5cm

Using Pythagoras Theorem,

h^2=p^2+b^2

h=√(7.5^2+16^2)

h=√(56.25+256)

h=√312.25

h=17.6705970471 cm

Answer:

It will take 48 minutes to water all parts of her lawn.

Step-by-step explanation:

Each section runs for an equal amount of time

3 sections have run for 36 minutes

36 divided by 3 is 12, meaning each section runs for 12 minutes

12 times 4 is 48

Using multiplication signal rules, it is found that:

A: Emma's statement is always false.

B: The result is always negative.

C: Emma's statement is always true.

The rule used for this exercise is as follows:

Part A:

Two examples are:

[tex]-2.5(-3.8)(-2) = 9.5(-2) = -19[/tex]

[tex]-2.5(-2)(-0.7) = 5(-0.7) = -3.5[/tex]

Part B:

The rule is that the result is always negative.

Part C:

Two examples are:

[tex]-2.5(-3.8)(2) = 9.5(2) = 19[/tex]

[tex]-2.5(-2)(0.7) = 5(0.7) = 3.5[/tex]

A similar problem is given at https://brainly.com/question/24764960

Answer:

6.51

Step-by-step explanation:

105×6.2/100

it gives 6.51

Answer:

64

Step-by-step explanation:

16^1

---------------------- = 64

2 x 2 - ^3

Apply exponent rule

16^1 = 16

= 16

------------------

2x2 - ^3

16 = 2x 8

2 x 8

-----------

2 x 2 - ^3

Cancel the common factor <2>

8

---------

2-^3

Factor the number 8 = 2^3

2^3

----------

2-^3

Apply exponent rule.

= 2^3 - (-3) = 6

3- (-3) = 6

= 2^6

2^6 = 64

64 is the answer

Answer:

0.5

Step-by-step explanation:

[tex] {16}^{ \frac{1}{2} } \times 2 {}^{ - 3} [/tex]

[tex] \sqrt{16} \times \frac{1}{{2}^{3} } [/tex]

[tex]4 \times \frac{1}{2 \times 2 \times 2} [/tex]

[tex] \frac{1}{ 2} [/tex]

Answer: 51 Children and 36 Adults.

Step-by-step explanation: Let's call x the number of children admitted and call z the number of adults admitted.

We know that x+z= 87

We also know that 3.25x+3.5z= 291.75.

We want to find the value of x and z. Then we solve the system of equations:

Multiply the first equation by -3.5 and add it to the second equation:

-3.5x-3.5z= -304.5

3.25x+3.5z= 291.75

-----------------------------------------------------------------------------------------------------------------

-0.25x=-12.75

x= -42.75 ÷ -0.25

x=51

----------------------------------------------------------------------------------------------------------------

Now we substitute the value of x in the first equation and solve for the variable z

51+z=87

z=87-51

z= 36

Omg took me like 10 minutes to calculate would appreciate brainliest. Have a wonderful day.

9514 1404 393

Answer:

  y = 2/3x -25/3

Step-by-step explanation:

The slope-intercept form of the equation for a line is ...

  y = mx +b . . . . . . for slope m and y-intercept b

Solving for b gives ...

  b = y -mx

Using the given values for x, y, and m, we find the intercept to be ...

  b = -3 -2/3(8) = (-9 -16)/3 = -25/3

Then the equation of the line is ...

  y = 2/3x -25/3

Answer:

5 inches

Step-by-step explanation:

Answer:

1.848 × 10^-2

Step-by-step explanation:

0.006 = 6 × 10^-3

3.08 = 3.08 × 10^0 (10^0 is equal to 1)

(6 × 10^-3) × (3.08 × 10^0) = 18.48 × 10^-3 = 1.848 × 10^-2

Answer:

3/20

Step-by-step explanation:

3/5 ÷ 4

Copy dot flip

3/5 * 1/4

Multiply

3/20

Answer:18

Step-by-step explanation:

6 : 6,12,18

9: 9,18

Hi there!  

»»————-　★　————-««

I believe your answer is:  

LCM (9,6): 18

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\text{Multiples of 6: }6,12,\textbf{18},24\\\\\text{Multiples of 9: } 9,\textbf{18}, 27, 36\\\\\\\text{Since 18 is the first common multiple that appears, it is the LCM.}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Simplify the expression

90 + 4B - 2B - 7B

Already in like terms, therefore

90+2B-7B

90-5B

Please Mark BRAINLIEST.

The equation that models the situation is f(t) = 10 + 9t.

The carpenter has already shingled 10 garage roofs . The initial amount he has already shingled is like a constant in the equation.

He shingles at a constant rate of 9 per day. This means each day the carpenter shingles 9 roofs.

let

f(t) = number of garage roofs the carpenter shingles

t = time in days.

If the carpenter shingles 9 roofs per day , he will shingle 9 × t roof for t days.

To model the equation where he had already shingled 10 roofs and his shingling rate, can be represented as follows:

read more: https://brainly.com/question/22965839?referrer=searchResults

Answer:

A The ratio of the areas is the square of the ratio of the side lengths.

Step-by-step explanation:

10  x 3.5 = 35 and would be the same size each

35 x 35 = 1225

Ratio of areas = 10x10 and 10x3.5 x 10 x 3.5 = 100 : 1225 = 4: 49

Therefore just from doing this we can find easily by referring back to ratio above shown.

D IS NOT TRUE This means the ratio of the areas (1225) is the square root of the ratio (sqrt1225=35) of the side lengths (35:35) is not true

sqrt 1225 is 35 and becomes a square root of the area

Where matching this to ratio of sides is not true as 35:35= 1:1 and the ratio to the sides are not the same as ratio of two areas. But when we square we get the answer right.

when we cross multiply (division) we find find the ratio of areas 100:1225 is NOT TRUE AND NOT SAME AS ratio 10:35

We therefore left with DIVIDING THE ratio SIDES AS SIMPLIFIED into the Areas ABOVE to show-

1225/49 = 25 same   here we have the area same ratio as

100/4 = 25 same

10:35 = 3.5^2  + 3.5^2 =12.50 + 12.50 = 25

A IS TRUE. as when we square the ratio 1=3.5 and add them together 1=3.5^2 +3.5^2 we get answer = 25

Answer:

A. The ratio of the areas is the square of the ratio of the side lengths. Is correct.

Hope this helps!

Answer:50000000000000000000000000000000000000000000000000000

The answer is 3/16f-12/8g

Answer:

5.22m

Step-by-step explanation:

Rearrange the formula - volume = π × r² × h:

h = volume ÷ (π × r²)

Plug in the numbers:

h = 4.1 ÷ (π × 0.5²)

h = 5.22028... ≈ 5.22m

Hope this helps!

Answer:

Shorter leg = 2.5 ft.

Longer leg = 6.5 ft.

Step-by-step explanation:

a^2 + b^2 = c^2

Because the hypotenuse = 7 ft, a^2 + b^2 = 49

To represent the two legs, we can use x and x+4.

x^2 + (x+4)^2 = 49

Simplifying this equation using FOIL gives us 2x^2 + 8x - 33 = 0.

Then, using the quadratic formula, we find that x = 2.5.

Thus, the shorter leg is 2.5 ft. and, when 4 is added, the longer leg is 6.5 ft.

Answer:

2

Step-by-step explanation:

whatever number to the zero power equals 1

for example

192 to the zero power equals 1

7,000332 to the zero power equals 1

x to the zero power equals 1

so 1+1+1+1=4

(4)^1/2

2

i dk who made that rule its a little confusing but whatever

Answer:its 116 grams of zinc

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Answer: its either c or b

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

When you need to estimate, if the number is .4 or below, bring it down (1.4 will now be 1.)

This goes for both 1.4

so, 1 + 1.

Next, you have 4.1 (which is also below .5, so .4 or below.)

It is 1 + 1 + 4.

That is 6. Hope this helps a bit ^^ :>

Answer:

(see explanation)

Step-by-step explanation:

Rounding to whole numbers,

1.4 rounds to 1

4.1 rounds to 4.

1+1+4 = 6

However, if you're rounding to the nearest 0.5,

1.4 rounds to 1.5

4.1 rounds to 4.0

1.5 + 1.5 + 4.0 = 7

Answer:

Step-by-step explanation:

A(0,4)

B(6,-4)

C(-2,-8)

just multiply every point by 2

Answer:

Well, each baseball card $1.60.

Step-by-step explanation:

Since, you may just divide the amount of cards to the amount of money required.

x-2/2=3x+8/4

x-1=3x+2

-x. -x

-1=2x+2

-2. -2

-3=2x

÷2. ÷2

-3/2=x