find the average rate of change​

Answer:

the first one listed (y = -[tex]2^{x}[/tex] + 4)

Step-by-step explanation:

a 0 at an x-intercept means that when plugging in that number, you get a 0 as a y-value.

So, the easiest method to use is to plug x=2 into each equation listed, because we can see that (2,0) is a point on this graph

if y= -[tex]2^x\\[/tex] + 4

y = -2² + 4

y = -4 + 4

y = 0

This means that this graph has corresponding real zero(s) to the function    y= [tex]-2^x[/tex] + 4

(I chose which graph to test by looking to see which option seemed right)

Answer:

No Solutions.

Step-by-step explanation:

original equation

3x+13 = 3(x+6)+1

distribute 3

3x+13 = 3x+18+1

simplify

3x+13 = 3x+19

since the slope is the same for both equations and the y-intercept is different the two equations are parallel meaning they will never intersect so there are no solutions.

Answer:

No solutions

Step-by-step explanation:

3x + 13 = 3 (x + 6) + 1

3x + 13 = 3x + 18 + 1

3x + 13 = 3x + 19

3x + 13 = 3x + 19 meaning no solution since they aren't equivalent to each other

The new equation will become f(x) = 3([tex]2^{x}[/tex]).

The given information is the stretch factor which is 3 and the equation f(x)=[tex]2^{x}[/tex].

When there is a vertical strecth factor, you need to multiply the equation by the stretch factor.

By stretching the function, the value of y has to be multiplied by 3, will now be equal to 3f(x)

The new equation will become f(x) = 3([tex]2^{x}[/tex]).

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The length of KI is 10 cms.

The skill of measuring the lengths of objects and understanding the units of length is very crucial as it helps us to interact with our environment in a more organized manner.

Here, ΔRJS ≈ Δ IJK

then JR / JI = SR/KI

         1/2   =5 /ki

         kI = 5 X 2

        kI = 10 units.

Thus, The length of KI is 10 cms.

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Answer:

the answer is D

Step-by-step explanation:

I'm not good at explaining but, it is because the line is not touching more than 1 point on the graph. Basically making it pass the vertical line test, therefore making the answer D.

Good luck, hope this helps !!!

Answer:

y = 16.5 ft

Step-by-step explanation:

• in the right triangle BCD :

cos(∠BCD) = 8/14

________

• In the right triangle ABC :

cos(∠BCA) = 14/(8+y)

________

Since ∠BCD and ∠BCA are the same one

then

cos(∠BCD) = cos(∠BCA)

Therefore

[tex]\frac{8}{14} =\frac{14}{y+8}[/tex]

[tex]\Longleftrightarrow 8(y+8)=14^2[/tex]

[tex]\Longleftrightarrow 8y+64=196[/tex]

[tex]\Longleftrightarrow 8y=196-64[/tex]

[tex]\Longleftrightarrow 8y=132[/tex]

[tex]\Longleftrightarrow y=\frac{132}{8}[/tex]

[tex]\Longleftrightarrow y=16.5[/tex]

It is impossible to use a disjunction introduction to derive any other type of formula besides disjunctive formulas.

A rule of inference in propositional logic and virtually every other deduction system is referred to as disjunction introduction.

It is right to state that it is not possible to use a disjunction introduction to derive any other type of formula besides disjunctive formulas.

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Answer:

Use Calculator:

Approximately. 1429.411

Step-by-step explanation:

Hope it Helps!!!

Answer:

8.49 × 10⁻³

Explanation:

Standard form of a number: A. × 10ᵇ

(where 'A' is the number, b is the exponent over 10)

For the number "0.00849​", move the decimal point 3 places right so the exponent of 10 is -3.

Standard form: 8.49 × 10⁻³

Other examples of standard/scientific forms are:   standard forms

i) 0.043, move the decimal point 2 places right = 4.3 × 10⁻²

ii) 4030, move the decimal point 3 places left = 4.03 × 10³

Answer:

when a number is given in that manner you have to take that decimal between two whole numbers.

and that is the main reason why I took that decimal from 0.0 to 8.49 and since it went towards the right my answer is going to be 8.49 *10 raised to negative 3.

Answer:

5.1 yd

Step-by-step explanation:

tan(25°) = x/11

x = 11tan(25°)=5.1 yd

Answer:

-20

2(xy-7)=-20 with x=-1 y=3

Step-by-step explanation:

2(xy-7)=?

When variables are connected such as xy, this means to multiply.

x=-1

y=3

Multiply the x and the y together.

-1*3=-3. Plug that into the equation.

2(-3-7)=?

Subtract the inside the parenthesis.

2(-10)=?

Multiply. Remember when multiplying a positive and a negative the answer will always be a negative.

2(-10)=-20

This means that 2(xy-7)=-20 with the x=-1 and y=3.

Hope this helps!

If not, I am sorry.

The ratio using fraction notation of $5 to $35 would be 7.

A fraction represents a part of a number or any number of equal parts.

To convert a ratio into a fraction,

We will simply use the first number as the numerator and the second number as the denominator.

So the fraction = 35/5.

= 7

Since there are no more common factors, the fraction is in its lowest form which is 7.

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Answer:

[tex]3x-1[/tex]

Step-by-step explanation:

The formula to find the area of a triangle:

[tex]A = \frac{bh}{2}[/tex]

Here, [tex]A[/tex] is the area, [tex]b[/tex] is the base and [tex]h[/tex] is the height.

However, we are looking for height, so let's rearrange the equation for [tex]h[/tex]:

[tex]A = \frac{bh}{2}\\2A = bh\\h = \frac{2A}{b}[/tex]

Now we know the formula to find the height, let's do so:

[tex]h = \frac{2(18x-6)}{12}\\\\h = \frac{36x-12}{12}\\\\h = 3x - 1[/tex]

Therefore, our final answer is [tex]3x-1[/tex].

Answer:

A. JK and LM lie in the same plane

B. JK and LM do not intersect

E. JK and LM are parallel

Step-by-step explanation:

hope this helped

Answer:

B and D

Step-by-step explanation:

vertex(2,5) so D is correct

there are no real roots for the function B is correct

Answer:

$30 is the original price.

Step-by-step explanation:

Let x be the original price of the gift.  The sisters got a 10% discount, so the price paid by them is 0.90x.

The five sisters each paid $5.40, so the total they paid was:

5*($5.40) = $27.

This is equal to the 0.90x:  

0.90x = $27

x = $27/0.90

x = $30

Chocolates

Using it's concept, it is found that there is a 0.2312 = 23.12% probability that the person has a tattoo.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, 995 people were surveyed, out of which 230 have tattoos, hence the probability is given by:

p = 230/995 = 0.2312.

0.2312 = 23.12% probability that the person has a tattoo.

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Answer:

210km

Step-by-step explanation:

2hours = 180km

2hours = 120minutes

40mins =180/3

           =60km

20mins=60/2

            =30km

2h and 20mins =30+180

                          =210km

Answer:

210kms

Step-by-step explanation:

Speed of the car per hour = 90km/h

or, speed of the car per minute = 90/60kms=1.5km/minute

Now,

car drives for 2hours and 20 minutes

or, (2*60 +20) minutes= 140minutes

Distance of the car drive= minutes travelled* speed per minute

= 140*1.5kms

=210kms

Answer:

$123.21 (nearest cent)

Step-by-step explanation:

Annual Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+r\right)^{t} $}[/tex]

where:

Given:

Substitute the given values into the formula and solve for A:

[tex]\implies \sf A=100\left(1+0.11\right)^{2}[/tex]

[tex]\implies \sf A=100\left(1.11\right)^{2}[/tex]

[tex]\implies \sf A=123.21[/tex]

Therefore, the value of the account in 2 years will be $123.21 (nearest cent).

Answer:

The coefficient is 2

Answer:

B

Step-by-step explanation:

the volume (V) of a sphere is calculated as

V = [tex]\frac{4}{3}[/tex] πr³ ( r is the radius )

here r = 13 , then

V = [tex]\frac{4}{3}[/tex] π × 13³ = [tex]\frac{4}{3}[/tex] π × 2197 = [tex]\frac{4(2197)}{3}[/tex] π = [tex]\frac{8788}{3}[/tex] π units³

The solution is, B.  8788/3 * π units³ is the volume of the sphere shown below.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

the volume (V) of a sphere is calculated as

V = 4/3 πr³ ( r is the radius )

now, we have,

from the given figure, we get,

here r = 13 , then

V =  4/3* π × 13³

= 4/3* π × 2197

= 8788/3 * π units³

Hence, The solution is, B.  8788/3 * π units³ is the volume of the sphere shown below.

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Answer:

cos L = [tex]\frac{23}{25}[/tex]

Step-by-step explanation:

cos L  = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{KL}{JL}[/tex] = [tex]\frac{23}{25}[/tex]

Answer:

5

Step-by-step explanation:

median basically means the number which is in the middle so 8,8,9, 5 ,10,4,9

the median is 5 because left and right middle is 5 that's why it is median

Answer: You have already given the answer in the question! You can make a small shoe box.

Answer:

this one

Step-by-step explanation:

Answer: [tex]\frac{4}{3}[/tex] or about 1.333

Step-by-step explanation:

    We will use the "keep, change, flip" method to solve. Keep the first number the same, change the division to multiplication, and flip the second number so we have the reciprocal.

[tex]\displaystyle \frac{\frac{5}{8} }{\frac{15}{32} } \,\,\,\,\text{ becomes } \,\,\,\,\frac{5}{8} *\frac{32}{15} =\frac{5*32}{8*15} =\frac{160}{120} =\frac{4}{3}[/tex]

Answer: 4/3

Step-by-step explanation:

find the reciprocal of the divisor

15/32

32/15

Now multiply it with the dividend

5/8

15/32

=5/8

32/15

=5/32

8/15

=160/120

after reducing the fraction the answer is 4/3

in mix form 1 1/3

Answer:

7

Step-by-step explanation:

You were correct in setting the equation equal to 0 because the problem is asking for when the rock hits the ground and in this problem, you may  assume that the ground is y=0, unless the problem says otherwise.

Ok so where you went wrong is that when you factored out and got

(x-7)(x+2), which is correct, you forgot to set these equal to zero (because your actual equation is set to zero). So you should have

x-7 = 0

and

x+2 = 0

and this gives the actual answers +7 and -2. And since time cant be negative its 7 seconds.

This was a silly mistake and happens a lot more often than you think, so I wouldn't worry too much but make sure you practice more, better to lose points on harder questions than easy ones.

Good luck with your exam !

Answer:

7 seconds

Step-by-step explanation:

Given function:

[tex]y=-2x^2+10x+28[/tex]

where:

To find the time when the rock hits the ground, set the equation to zero and solve for x.

First, simplify by factoring out the common term  -2:

[tex]\implies -2(x^2-5x-14)=0[/tex]

Divide both sides by -2:

[tex]\implies x^2-5x-14=0[/tex]

To factor a quadratic in the form [tex]ax^2+bx+c[/tex], find two numbers that multiply to ac and sum to b.

[tex]\implies ac=1 \cdot -14=-14[/tex]

[tex]\implies b=-5[/tex]

Therefore, the two numbers that multiply to -14 and sum to -5 are: -7 and 2

Rewrite b as the sum of these two numbers:

[tex]\implies x^2-7x+2x-14=0[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies x(x-7)+2(x-7)=0[/tex]

Factor out the common term (x - 7):

[tex]\implies (x+2)(x-7)=0[/tex]

Therefore:

[tex]\implies x+2=0 \implies x=-2[/tex]

[tex]\implies x-7=0 \implies x=7[/tex]

As time cannot be negative, the rock hits the ground in 7 seconds.