All categories

3 years ago

What is the value of the expression below when y=7? y2+5y+6

Mathematics

2 answers:

Daniel [21]3 years ago

5 0

Answer:

Step-by-step explanation:

y^2 + 5y + 6 =

(7)^2 + 5(7) + 6 =

49 + 35 + 6 =

84 + 6 =

sergeinik [125]3 years ago

3 0

7^2 + 5(7) + 6

49 + 35 + 6

You might be interested in

Consider the following problem: A farmer with 950 ft of fencing wants to enclose a rectangular area and then divide it into four

shutvik [7]

Answer:

Largest possible total area of the four pens is $22562.5\:ft^{2}$

Step-by-step explanation:

Assume width as x and length as y. Given that length of fencing is 950 feet which encloses rectangular area which is divided into four pens as shown in diagram ( Refer to attachment),

So perimeter of the rectangular area as per diagram is given as,

Perimeter = width + width + width + width + width + length+ length

Substituting the value,

$950=x+x+x+x+x+y+y$ ….1

Now area of rectangular diagram is given as follows,

$A=xy$ ….2

Solving equation 1 for y, subtracting 2x from both sides,

$\dfrac{950-5x}{2}= y$

$475-\dfrac{5x}{2}= y$

Substituting the value in equation 2,

$A=x\left(475-\dfrac{5x}{2}\right)$

Simplifying

$A=475x-\dfrac{5x^{2}}{2}$

To find the largest possible area, differentiate A with respect to x,

$\dfrac{dA}{dx}=\dfrac{d}{dx}\left(475x-\dfrac{5x^{2}}{2}\right)$

Applying sum rule of derivative,

$\dfrac{dA}{dx}=\dfrac{d}{dx}\left(475x\right)-\dfrac{d}{dx}\left(\dfrac{5x^{2}}{2}\right)$

Applying constant multiple rule of derivative,

$\dfrac{dA}{dx}=475\dfrac{d}{dx}\left(x\right)-\dfrac{5}{2}\dfrac{d}{dx}\left(x^{2}\right)$

Applying power rule of derivative,

$\dfrac{dA}{dx}=475\left(1x^{1-1}\right)-\dfrac{5}{2}\left(2x^{2-1}\right)$

$\dfrac{dA}{dx}=475\left(x\right)-\dfrac{5}{2}\left(2x\right)$

$\dfrac{dA}{dx}=475-5x$

Now find the critical number by solving as follows,

$\dfrac{dA}{dx}=0$

$475-5x =0$

$475=5x$

$95=x$

Since there is only one critical point, directly substitute the value of x into equation of A,

$A=475\left(95\right)-\dfrac{5\left(95\right)^{2}}{2}$

Simplifying,

$A=45125-\dfrac{45125}{2}$

$A=\dfrac{45125}{2}$

So, the largest possible area is $22562.5\:ft^{2}$

3 0

4 years ago

Last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends StartFraction 1 Over 15 EndFraction

V125BC [204]

Answer:

StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis

Step-by-step explanation:

The desired equation equates 1/15 of the amount Lindsay earned with 1/10 the amount without the bonus:

StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis

_____

<em>Comment on the form of the answer</em>

If you don't like answers in this form, please do not post questions in this form. Ordinary math symbols are much appreciated.

6 0

3 years ago

Read 2 more answers

Wrote the slope intercept form of the equation for the line

notsponge [240]

Answer:

It would be the second question,

Step-by-step explanation:

y 7/8 x + 3/2

3 0

4 years ago

Simplify (-6)×(-6)^2

alexdok [17]

Answer:

-216

(-6)^3

Step-by-step explanation:

-6 * (-6*-6)

-6 * 36

-216

-6 * -6 *-6

This is -6 multiplied together 3 times

(-6) ^3

8 0

3 years ago

Round this number to the nearest 100. 3,817,453

Sindrei [870]

3,817,500 is the answer to being rounded to the nearest 100.

8 0

3 years ago

Read 2 more answers