identify one characteristic of exponential growth

Answer:

The product is -x³ - 2x² + 13x + 26

Step-by-step explanation:

* Lets revise how to find the product of two binomials

- If (ax ± b) and (cx ± d) are two binomials, where a , b , c , d are constant

 their product is:

# Multiply (ax) by (cx) ⇒ 1st term in the 1st binomial and 1st term in the

  2nd binomial

# Multiply (ax) by (d) ⇒ 1st term in 1st binomial and 2nd term in

  2nd binomial

# Multiply (b) by (cx) ⇒ 2nd term in 1st binomial and 1st term in

  2nd binomial

# Multiply (b) by (d) ⇒ 2nd term in 1st binomial and 2nd term in

  2nd binomial

# (ax ± b)(cx ± d) = cx² ± adx ± bcx ± bd

- Add the terms adx and bcx because they are like terms

* Now lets solve the problem

- There are two binomials (13 - x²) and (x + 2)

- We can find their product by the way above

∵ (13)(x) = 13x ⇒ 1st term in the 1st binomial and 1st term in the

  2nd binomial

∵ (13)(2) = 26 ⇒ 1st term in 1st binomial and 2nd term in

  2nd binomial

∵ (-x²)(x) = -x³ ⇒ 2nd term in 1st binomial and 1st term in

  2nd binomial

∵ (-x²)(2) = -2x² ⇒ 2nd term in 1st binomial and 2nd term in

  2nd binomial

∴ The product of (13 - x²)(x + 2) = 13x + 26 - x³ - 2x²

- There is no like terms

- Lets arrange the terms from greatest power to smallest power

∴ The product is -x³ - 2x² + 13x + 26

Answer:

1,2,3,4,6,8,12,16,24,32,48

Step-by-step explanation:

|96|

1×96

2×48

3×32

4×24

6×16

8×12

hope this helps :)

Answer:

1 solution

Step-by-step explanation:

The number of solutions will be one.

( i.e. the system of equation has a unique solution )

We are given a system of equations such that:

One of the equation has a negative reciprocal slope as compared to the other.

This means that the two lines are perpendicular.

Hence, the two lines will definitely meet or intersect at just one point and at right angles.

Also we know that the solutions  of a system of linear equations are the points where the two lines intersect.

Hence, we will have just one solution.

( since here the two lines will intersect at just one point )

Step-by-step answer:

Given:

In a triangle ABC, AD is the bisector of angle A ....If AB=5.6cm ,AC=4cm and DC=3cm, find BD and DC

This problem can be solved by direct application of the angle bisector theorem, which states that the division of the side opposite to the bisected angles is proportional to the respective sides.

Here we have:

Bisector: AD

Side divided: DC = 3 cm

Length of AB = 5.6

Length of AC = 4.0

Then BD = AB/AC * DC = 5.6/4.0 * 3 = 4.2

BC = BD+DC = 4.2+3 = 7.2

Answer:

Its the first option.

Step-by-step explanation:

Game 1 - you win or lose.

Game 2 - you win or lose

So that makes 4 possible branches  along the tree.

WW, WL LW and LL.

Answer: Last option

[tex]p = (0.9801) ^ {30}[/tex]

Step-by-step explanation:

the probability of a jaywalker being hit is

[tex]P = \frac{1}{100} = 0.01[/tex].

So the probability of a jaywalker not being hit is:

[tex]P '= 1-0.01[/tex]

[tex]P '= 0.99[/tex]

As in this experiment the probability of each trial is independent then, the probability that it is not a jaywalker will not be hit if it makes a round trip is:

[tex]P '= (0.99) (0.99) = 0.9801[/tex]

[tex]P '= 0.9801[/tex]

If this experiment is repeated for 30 days then the probability that it is not a jaywalker will not be hit if it makes a round trip is:

[tex]p = (0.9801) ^ {30}[/tex]

Answer:

2p, since twice as long would hint to multiplication.

Answer: 4 students

Step-by-step explanation:

We know that p is the set formed by the students who play basketball and  q is the group formed by the students who play tennis, in this case we look for the group of students who play both sports. That is, we look for the intersection of the set p with the set q

In the Venn diagram shown, each set is represented by a circle and the area where both circles intersect represents the set formed by the intersection of p and q.

This diagram shows that the number of students who play tennis and play basketball is 4

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Look at the picture.

Answer:

Step-by-step explanation:

45% off $25.60

= [tex]\frac{45}{100}[/tex] x $25.60

= $11.52 (Ans)

Answer:

$11.52

Step-by-step explanation:

$25.60 is 25.6 and 40% is 0.40

So do 25.6 * 0.40 and you get your answer of $11.52

Hope this helped ^-^

Answer:

the ordered pair negative 6 over 8, 2 over 8

Step-by-step explanation:

Point P is plotted at the sixth grid line to the left of the y-axis

Going to the left of the y axis means negative, to the right is positive

We go left 6 units, each unit is 1/8

-6 * 1/6 = -6/8

That is the x coordinate

Second grid line above the x-axis.

Going up is positive and down would be negative

We go up 2 units, each unit is 1/8

+2 * 1/8= 2/8

That is the y coordinate

(-6/8, 2/8)

Answer:

Second grid line above the x-axis.

Going up is positive and down would be negative

We go up 2 units, each unit is 1/8

+2 * 1/8= 2/8

That is the y coordinate

(-6/8, 2/8)

Answer:

x^3-1

Step-by-step explanation:

f(x)=g(x)-1 since was shifted down 1 unit                                        x^3-1

f(x)=g(x)+1 would have been a shift up of 1 unit                             x^3+1

f(x)=g(x-1) shifted right 1 unit                                                            (x-1)^3

f(x)=g(x+1) shifted left one unit                                                        (x+1)^3

Anyways the answer is f(x)=x^3-1

Answer:

Counting by hand

Dividing 15 by 2

Step-by-step explanation:

Gregory has 2/3 of a pizza and gives 1/4 of an entire pizza to Marlene. By converting the fractions to a common denominator, we find that he gives away 3/8 of his portion of the pizza to Marlene.

Understanding fractions can sometimes be as easy as picturing how you would slice a pie and share it with friends.

Gregory has 2/3 of an entire pizza and decides to give 1/4 of an entire pizza to his friend Marlene.

To solve how much of his portion Gregory gives to Marlene, we need to figure out what fraction 1/4 represents out of the 2/3 that Gregory has.

If we think of the pizza being cut into 12 slices (since 12 is a common multiple of both 3 and 4), Gregory's 2/3 is equivalent to 8/12 of the pizza because (2/3) × (12/1) = 8/12.

Similarly, 1/4 of the pizza is equivalent to 3/12 of the pizza because (1/4) × (12/1) = 3/12.

Now we know that Gregory aims to give away 3/12 of the pizza, but we want to express this as a part of his original 8/12.

To find out what fraction of his part he gives away, we then calculate (3/12) ÷ (8/12).

When we divide these fractions, we can multiply by the reciprocal of the second fraction:

(3/12) × (12/8), which simplifies to 3/8.

Therefore, Gregory gives away 3/8 of his 2/3 of the pizza to Marlene.

Answer:

[tex]\large\boxed{V=\dfrac{75\sqrt3}{2}\approx64.95}\\\boxed{S.A.=\dfrac{160+25\sqrt3}{2}}[/tex]

Step-by-step explanation:

The formula of a volume of a prism:

[tex]V=BH[/tex]

B - base area

H - height

In the base we have the equilateral triangle. The formula of an area of an equilateral triangle with side a:

[tex]A=\dfrac{a^2\sqrt3}{4}[/tex]

Substitute a = 5:

[tex]B=\dfrac{5^2\sqrt3}{4}=\dfrac{25\sqrt3}{4}[/tex]

H = 6.

Calculate the volume:

[tex]V=\left(\dfrac{25\sqrt3}{4}\right)(6)=\dfrac{75\sqrt3}{2}[/tex]

The formula of a Surface Area:

[tex]S.A.=2B+PH[/tex]

B - base area

P - perimeter of a base

H - height

Calculate P:  [tex]P=5+5+5=15[/tex]

Substitute:

[tex]S.A.=2\left(\dfrac{25\sqrt3}{4}\right)+(15)(6)=\dfrac{25\sqrt3}{2}+80=\dfrac{160+25\sqrt3}{2}[/tex]

[tex]

4x-7\Longrightarrow4\cdot4-7=16-7=9

[/tex]

Hope this helps.

r3t40

Answer:

9

Step-by-step explanation:

4x-7

4(4)-7

16-7

9

Answer:

D. R0, 360°

Step-by-step explanation:

Since the transformation is from (x,y) to (x,y), the values stay the same...

It's just like a 360 degrees rotation then, since the end position is identical to the start position.

All other answers would affect at least one of the values to change sign like (-x,y), (x,-y) or (-x,-y)... but a 360 degrees rotation would not.

Answer:

The answer would be B. 2x+4 / x

For this case we have that by definition of composition of functions that:

[tex](f_ {0} h_ {0} g) = f (h (g (x)))[/tex]

So:

[tex]h (g (x)) = 4 (x-2) -1 = 4x-8-1 = 4x-9[/tex]

So:

[tex]f (h (g (x))) = \frac {4x-9 + 4} {4x-9} = \frac {4x-5} {4x-9}[/tex]

ANswer:

[tex](f_ {0} h_ {0} g) = \frac {4x-5} {4x-9}[/tex]

Option D

Squares 1 and 2 have the same area because they're both (a+b) on a side.

Each of these squares is covered by four identical right triangle tiles, legs a,b, hypotenuse c.  

In the first picture we see the uncovered part of the square, not covered by triangular tiles, is two squares, area [tex]a^2+b^2[/tex].

In the second picture the uncovered part of the square is a smaller square, area [tex]c^2[/tex].

We just moved the tiles around on the square, so the uncovered part is the same in both cases.  So

[tex]a^2 + b^2 = c^2[/tex]

--------

The rectangular prism has a bottom rectangular base 6 by 8.  So  the diagonal is [tex]\sqrt{6^2+8^2}=\sqrt{100}=10[/tex].

The diagonal and the 7 cm side make a right triangle whose hypotenuse is the diagonal of the rectangular prism we seek.

[tex]\sqrt{10^2 + 7^2} = \sqrt{149}[/tex]

Answer: √149

Answer: 48%

Step-by-step explanation:

25 students total

8 do not take the bus and are on time

4 do not take the bus and arrive late

12 in total do not take the bus

12/25total students = 0.48 and to get the percentage you multiply by 100 this gives you 48%

Answer:

C=4

Step-by-step explanation:

So you multiply 3 tickets by 25 and you get $75. You then subtract $130 from $75 and you get $55 you then multiply 12 by 4 to get $48. And that's how 4 is the correct answer.

Answer:

4 Is the answer

Step-by-step explanation:

lma0 i gotchu

Answer:

The value of x is -3

Step-by-step explanation:

We need to solve the given equation and find value of x

5(x-4)+3x-9x=6-(2x+5)+8x

First solving the brackets

5x-20+3x-9x = 6-2x-5+8x

Now combining the like terms,

5x+3x-9x-20 = -2x+8x+6-5

8x-9x-20 = 6x +1

-x-20=6x+1

Now moving x terms on one side and constants on other

6x+x=-20-1

7x = -21

Dividing both sides by 7

7x/7 = -21/7

x = -3

So, the value of x is -3

Answer:

The graph of his initial step in the attached figure

Step-by-step explanation:

we have

[tex]f(x)=3(4)^{x}[/tex]

This is a exponential function of the form

[tex]y=a(b)^{x}[/tex]

where

a is the initial value

b is the base

r is the rate of change

In this problem

a=3 ---> the initial value ( value of the function when the value of x is equal to zero)

b=4

b=1+r ----> 4=1+r ----> r=3 ---> r=300%

therefore

The initial value is the point (0,3)

The graph of his initial step in the attached figure

Calculista · Quality Assurance - seems pretty accurate i was looking at their answer and he went as far as actually graphing it out for everyone... it shure as **** helped me not get confused. Thanks  Calculista you got big brain lol!

Answer:

To be determined (picture???)

Step-by-step explanation:

SSS means: side - side - side

This means that when you look at the two triangles, in this case ABC and ADC their sides MUST be corresponding to be congruent (equal). This is easily identifiable by the tics or little dash marks you see on the triangles. If the dashes correspond to the same sides (hence side-side-side rule) then the theorem is proven correct and the triangles of congruent. Take a look at the attached image for an example :D

Step-by-step explanation:

If the zeros are 5 and 9, then the equation will have the form:

y = a (x–5) (x–9)

We know the point (0, 90) is on the curve, so we can use this to find the coefficient a:

90 = a (0–5) (0–9)

90 = 45a

a = 2

y = 2 (x – 5) (x – 9)

Answer:

y = 2 (x-5) (x-9)

Step-by-step explanation:

Edge

Answer:

Step-by-step explanation:

[tex]14\leq2t+18\leq20\qquad\text{subtract 18 from all sides}\\\\14-18\leq2t+18-18\leq20-18\\\\-4\leq2t\leq2\qquad\text{divide all sides by 2}\\\\\dfrac{-4}{2}\leq\dfrac{2t}{2}\leq\dfrac{2}{2}\\\\-2\leq t\leq1\\\\\text{The third graph.}[/tex]

Answer:

Step-by-step explanation:

D is correct.  The idea here is to ensure that the point on the post is equidistant from the bottom of the post (where it meets the ground), which in turn ensures that the angle between ground and post is 90° in at least two places on the ground.

The step that Sam must take first in order to make sure that the post of the fence is ⊥ to the bottom of the ground would be:

D). "Place the compass at the point off the ground, and swing an arc that intersects the ground in two places."

Learn more about 'arcs' here:

brainly.com/question/16765779