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3 years ago

HELP QUICKY Which statement is true about the end behavior of the function?

Mathematics

2 answers:

natka813 [3]3 years ago

8 0

Answer: D, As the x values go to positive infinity, the functions values go to positive infinity.

Step-by-step explanation:

This is true for just about any $y=x^{3}$ graph. As the value of the input (x) get larger, the value of the output (y) will get exponentially larger.

satela [25.4K]3 years ago

7 0

As the x-values go to positive infinity, the function's values go to positive infinity.

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Solve the simultaneous equation, 2p - 3q = 4 3p + 2q = 9

Kobotan [32]

Answer:

p = $\frac{35}{13}$ and q = $\frac{6}{13}$

Step-by-step explanation:

Given equations:

2p - 3q = 4 -----------(i)

3p + 2q = 9 ------------(ii)

Let's solve this equation simultaneously using the elimination method

(a) Multiply equation (i) by 3 and equation (ii) by 2 as follows;

[2p - 3q = 4] x 3

[3p + 2q = 9] x 2

6p - 9q = 12 -------------(iii)

6p + 4q = 18 -------------(iv)

(b) Next, subtract equation (iv) from equation (iii) as follows;

[6p - 9q = 12]

- [6p + 4q = 18]

-13q = -6 -----------------(v)

(c) Next, make q subject of the formula in equation (v)

q = $\frac{6}{13}$

(d) Now substitute the value of q = $\frac{6}{13}$ into equation (i) as follows;

2p - 3( $\frac{6}{13}$ ) = 4

(e) Now, solve for p in d above

Multiply through by 13;

26p - 18 = 52

Collect like terms

26p = 52 + 18

26p = 70

Divide both sides by 2

13p = 35

p = $\frac{35}{13}$

Therefore, p = $\frac{35}{13}$ and q = $\frac{6}{13}$

8 0

3 years ago

Sally is having a problem with her puppy leaving the yard so she decides to build a new fence. The length of the yard is 8 feet

Rufina [12.5K]

Please check the attached file for the diagram of Sally's yard.

Let $w$ be the width of the yard.

Let $l$ be the length.

We are given that the length of the yard is 8 feet more than 4 times the width. Let us convert this into a mathematical equation.

4 times the width will be $4w$ . Now, 8 feet, or 8 more than 4 times the width will be $4w+8$ . We know that this is the value of the length of the yard and thus we can write this as:

$l=4w+8$

As we can see we have found the relationship between the length, $l$ and the width, $w$ of the yard.

We have been told that the total length of the fence required for the yard is 106 feet. This obviously means that the perimeter of the rectangular yard is 106 feet.

Now, we know that the perimeter of a rectangle is given by:

Perimeter= $2(l+w)=2((4w+8)+w)$ this is because we know that the length, $l$ is given by $l=4w+8$ .

Continuing further we get:

$106=8w+16+2w=10w+16$ This is because Perimeter=length of the fence=106 (given)

Therefore, $10w=90$

or, $w=9$ so, we just now found the width of the yard which is 9 feet. We are required to find the length. We can easily find the length using the relationship between $w$ and $l$ which is:

$l=4w+8$ giving us:

$l=4\times9+8=44$

Thus the length of the fence is 44 feet.

5 0

3 years ago

Last question please help me

Inessa [10]

Answer: OPTION D

Step-by-step explanation:

The formula for calculate the surface area of a rectangular prism is:

$SA_{rp}=2(wh+lw+lh)$

Where w is the width, h is the height and l is the length.

You can see in the figure attached that:

l=3.4ft

w=3ft

h=4.1ft

Therefore, when you substitute these values into the formula you obtain that the surface area is:

$SA_{rp}=2[(3ft*4.1ft)+(3.4ft*3ft)+(3.4ft*4.1ft)]=72.88ft^{2}$

3 0

3 years ago

Order of operations, step by step 56-12 / 6+4

icang [17]

Answer:

Step-by-step explanation:

Order of operations:

Parentheses
Exponents
Multiplication-Division
Addition-Subtraction

Solve:

56-12 / 6+4

56 - (12/6) +4 { No Multiplication but do have Division} (12/6 = 2)

56 - 2 + 4 {Subtraction ⇒ 56-2 = 54}

54 + 4 { Addition ⇒ 54 + 4 = 58}

Answer = 58

[RevyBreeze]

7 0

2 years ago

Martha was recarpeting her bedroom, which was 15 feet long and 10 feet wide. How many square feet (the area) will she need to pu

Veseljchak [2.6K]

Answer:

150 Square feet

Step-by-step explanation:

15 feet long

10 feet wide

Area = length x width

15 x 10 = 150

150 Square feet

Hope this helped!

3 0

3 years ago