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3 years ago

9

Select the statement that describes the expression 2 x (4 + 9) ÷ 3.

2 answers:

mina [271]3 years ago

8 0

The answer would be A.

USPshnik [31]3 years ago

5 0

A, the sum is the answer of 2 numbers added together

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How do i complete the square y= X2+8X-4

Salsk061 [2.6K]

For x²+bx+c, to complete the square, you add (half of b)²
b=8 in this case, so you add 4², which is 16
x²+8x+16-16-4
y=(x+4)²-20 is the final form.

4 0

3 years ago

Each of the 10 students in the baking club made 2 chocolate cakes for a fundraiser they all used the same recipe, using C cups o

IrinaK [193]

Answer:

C / 20

Step-by-step explanation:

Number of students in the baking club = 10

Each student made 2 chocolate cakes

Total cakes = number of students × number of cakes per student

= 10 × 2

= 20

Total cups of flour used by 10 students = C cups

Amount of flour for one cake = Total cups of flour / Total cakes

= C / 20

The expression that represents the amount of flour for one cake = C / 20

6 0

3 years ago

Pam has 90 m of fencing to enclose an area in a petting zoo with two dividers to separate three types of young animals. The thre

andrew-mc [135]

Answer:

The area function is

$A=\frac{135}{2}x-\frac{9}{2}x^2$ .

The domain and range of A is $(0,15m)$ and $(0, 253.125 m^2]$ .

Step-by-step explanation:

The given length of fencing is $90 m$ .

Let the length and width of each pen be $x$ and $y$ respectively as shown in the figure.

As there are 3 pens, so, the total area,

$A= 3 xy \;\cdots (i)$

From the figure the total length of fencing is $6x+4y$ .

Here, for a significant area for the animals, $x>0$ as well as $y>0$ as $x$ and $y$ are the sides of ben.

From the given value:

$6x+4y=90\;\cdots (ii)$

$\Rightarrow y=\frac {45}{2}-\frac{3x}{2}$

Now, from equation (i)

$A=3x\left(\frac {45}{2}-\frac{3x}{2}\right)$

$\Rightarrow A=\frac{135}{2}x-\frac{9}{2}x^2\;\cdots (iii)$

This is the required area function in the terms of variable $x$ .

For the domain of area function, from equation (ii)

$x=15-\frac{2y}{3}$

$\Rightarrow x$ [as y>0]

So, the domain of area function is $(0,15m)$ .

For the range of area function:

As $x \rightarrow 0$ or $y\rightarrow 0$ , then $A\rightarrow 0$ [from equation (i)]

$\Rightarrow A>0$

Now, differentiate the area function with respect to $x$ .

$\frac {dA}{dx}=\frac{135}{2}-9x$

Equate $\frac {dA}{dx}$ to zero to get the extremum point.

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

$\Rightarrow \frac{135}{2}-9x=0$

$\Rightarrow x=\frac{15}{2}$

Check this point by double differentiation

$\frac {d^2A}{dx^2}=-9$

As, $\frac {d^2A}{dx^2}$ , so, point $x=\frac{15}{2}$ is corresponding to maxima.

Put this value back to equation (iii) to get the maximum value of area function. We have

$A=\frac{135}{2}\times \frac {15}{2}-\frac{9}{2}\times \left(\frac {15}{2}\right)^2$

$\Rightarrow A=253.125 m^2$

Hence, the range of area function is $(0, 253.125 m^2]$ .

4 0

4 years ago

1/6 * 3/4<br> could be answers <br> 3/10<br> 1/6<br> 1/8 <br> 4/10

Dominik [7]

Answer:

it's a sooooooo it's the first one

5 0

3 years ago

Read 2 more answers

The weight, in pounds, of a newborn baby tt months after birth can be modeled by the function W(t)=1.25t+6.W(t)=1.25t+6. What is

ollegr [7]

Answer:

$6$

Step-by-step explanation:

GIVEN: The weight, in pounds, of a newborn baby $t$ months after birth can be modeled by the function $W(t)=1.25t+6$ .

TO FIND: What is the y-intercept of the function and what is its interpretation in the context of the problem.

SOLUTION:

in $W(t)=1.25t+6$

if $t=0$

$W(0)=6$

Hence y-intercept is $6$

the y-intercept in this represents the weight of baby just after he is born.

8 0

3 years ago