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Whitepunk [10]
3 years ago
7

Let f(x)=x2+15x+56

Mathematics
2 answers:
Ivan3 years ago
6 0

Answer:

-8, -7

Step-by-step explanation:

f(x)=x^2+15x+56

0 =x^2+15x+56

What two numbers multiply together to make 56 and add together to 15

7*8 = 56

7+8=15

0 = (x+8) (x+7)

Then use the zero product property

x+8 =0     x+7 =0

x+8-8 =0-8        x+7-7 =0-7

x=-8                      x=-7

kvv77 [185]3 years ago
6 0

Answer:

-7 , -8

Step-by-step explanation:

x² + 15x + 56 = 0

x² + 7x + 8x + 56 = 0

x(x + 7) + 8(x + 7) = 0

(x + 7)(x + 8) = 0

x = -7 , -8

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The figure below shows part of a stained-glass window depicting the rising sun. Which function can be used to find the area of t
Kryger [21]

Answer:

A(w) = w^2 + 5w - \frac{1}{8}\pi w^2

Step-by-step explanation:

A = the area of the region outside the semicircle but inside the rectangle

w = the width of the rectangle or diameter of the semicircle

Since "A" is determined by "w", therefore, "A" is a function of "w" = A(w).

A(w) = (area of rectangle) - (area of semicircle)

A(w) = (l*w) - (\frac{1}{2} \pi r^2)

Where,

lenght of rectangle (l) = w + 5

width of rectangle (w) = w

r = ½*w = \frac{w}{2}

Plug in the values:

A(w) = ((w + 5)*w) - (\frac{1}{2} \pi (\frac{w}{2})^2)

A(w) = ((w + 5)*w) - (\frac{1}{2} \pi (\frac{w}{2})^2)

Simplify

A(w) = (w^2 + 5w) - (\frac{1}{2} \pi (\frac{w^2}{4})

A(w) = w^2 + 5w - \frac{1}{2}*\pi*\frac{w^2}{4}* \pi

A(w) = w^2 + 5w - \frac{1*\pi*w^2}{2*4}

A(w) = w^2 + 5w - \frac{1*\pi w^2}{8}

A(w) = w^2 + 5w - \frac{1}{8}\pi w^2

3 0
3 years ago
How do I make a the subject?<br><br> S= a/4 + 8u
Crazy boy [7]
S= a/4 + 8u

S - 8u = a/4 (First you subtract 8u from both sides)

4(S - 8u) = a ( Then you multiply both sides by 4)

Final answer:
4(S - 8u) = a
8 0
3 years ago
CAN SOMEONE PLEASE ANSWER THISS ASAP PLEASE
user100 [1]

Answer:

Step-by-step explanation:

11.04 = 10(1.02)^n

1.104 = 1.02^n

ln 1.104 = ln 1.02^n

ln 1.104 = n ln 1.02

n = ln 1.104/ ln 1.02

n = 4.99630409516

4.99 can be rounded to 5.

So a reasonable domain would be 0 ≤ x < 5

PART B)

f(0) = 10(1.02)^0

f(0) = 10(1)

f(0) = 10

The y-intercept represents the height of the plant when they began the experiment.

f(1) = 10(1.02)^1

f(1) = 10(1.02)

f(1) = 10.2

(1, 10.2)

f(5) = 10(1.02)^5

f(5) = 10(1.1040808)

f(5) = 11.040808

f(1)=10(1.02)^1

f(1)=10.2

Average rate= (fn2-fn1)/(n2-n1)

                     =11.04-10.2/(5-1)

                    =0.22

the average rate of change of the function f(n) from n = 1 to n = 5 is 0.22.  

4 0
3 years ago
The women's recommended weight formula from harvard pilgrim healthcare says, "give yourself 100 lb for the first 5 ft plus 5 lb
romanna [79]

This would have to apply for a certain height compared to a weight or vice versa. I'm 5'8'' and for me that would mean I would have a healthy weight of 140 lbs.

3 0
3 years ago
Reduce to the lowest terms by canceling -14/9 times -3/7
maksim [4K]

Answer:

2/3

Explanation:

Given the below;

\frac{-14}{9}\times\frac{(-3)}{7}

We can see from the above that 9 is divisible by 3 and that 14 is divisible by 7, let's go ahead and reduce to the lowest term as shown below;

\frac{-14}{9}\times\frac{(-3)}{7}=\frac{-2}{3}\times\frac{(-1)}{1}=\frac{2}{3}

5 0
1 year ago
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