(Q6) Decide if the function is an exponential function. If it is, state the initial value and the base. y= -4.8·4^x

Final answer:

The best first step to simplify the equation -2(x+3)=-10 is to distribute the -2 to the terms inside the parentheses and simplify. Then, solve for x by isolating the variable.

Explanation:

The best first step to simplify the equation -2(x+3)=-10 is to distribute the -2 to the terms inside the parentheses. This can be done by multiplying -2 with each term inside the parentheses.

So, -2(x+3) becomes -2x-6. The equation now becomes -2x - 6 = -10.

Now, we can proceed with solving the equation by isolating the variable x.

We can begin by adding 6 to both sides of the equation to get -2x = -4.

Finally, we divide both sides of the equation by -2 to solve for x.

So, x = 2.

The correct answer is option c. [tex]\frac{-2}{\ 2}(x+3) = \frac{-10}{\ 2}[/tex]

When solving the equation -2(x+3)=-10, the best first step is to divide both sides by 2. This simplifies the equation by making it easier to solve.

Here are the steps:

By dividing first, you simplify the algebraic manipulation and make solving the equation straightforward.

The complete question is:
When solving equation which is the best first step to begin to simplify the equation -2(x+3)=-10

a. [tex](-2)(-2)(x+3) = -10(-2)[/tex]

b. [tex]\frac{-1}{\ 2}(-2)(x+3) = (-10)\frac{-1}{\ 2}[/tex]

c. [tex]\frac{-2}{\ 2}(x+3) = \frac{-10}{\ 2}[/tex]

d. [tex]\frac{-2}{-10}(x+3) = \frac{-10}{-10}[/tex]

Answer:

option 2

2x²- x - 1

Step-by-step explanation:

We are given points: (-1,2), (0,-1) and (2,5)

Substitute each point one by one in the quadratic equation to check if the quadratic equation contains all points mention.

2) f(x) = 2x²- x - 1

   Point(-1,2)

   f(-1) = 2(-1)² -(-1) -1

   2 = 2 + 1 - 1

   2 = 2

  Point(0,-1)

   f(0) = 2(0)² -(0) -1

   -1 = 0 - 0 -1

   -1 = -1

  Point(2,5)

  f(2) = 2(2)² -(2) -1

  5 = 8 - 2 -1

  5 = 6 - 1

  5 = 5    

The password format is = inpray93

vowel , consonant, consonant, consonant, vowel, consonant, number, number.

There are 21 consonants, 5 vowels and 10 number choices (0-9)

Since, there are 21 consonants and repetition is allowed so for 2nd, 3rd, 4th, and 6th positions 21 choices are available. For 1st and 5th positions, 5 choices  are available and for 7th and 8th position there are 10 choices (0 to 9).

Passwords are not case sensitive which means upper case and lower case letters are same.

So, the number of passwords can be =

[tex]5\times21\times21\times21\times5\times21\times10\times10[/tex]

= 486202500

Part (b) question is not given. But it can be opposite to the first part i.e when the password letters are case sensitive.

This means all the letters are different.

So, number of passwords will be =

[tex]10\times42\times42\times42\times10\times42\times10\times10[/tex]

= 31116960000

Answer: [tex]149^{\circ}[/tex]

Step-by-step explanation:

From the given figure, the measure of central angle FDG is given by :-

[tex]\angle{EDG}=\angle{EDF}+\angle{FDG}\\\\=83^{\circ}+66^{\circ}\\\\=149^{\circ}[/tex]

We know that the measure of arc in degrees is equals the measure of the central angle that intercepts the arc.

Now,the measure of arc EFG is given by :-

[tex]Arc\ \text{EFG}=\text{Central angle EDG}=149^{\circ}[/tex]

Answer: 2.5 or 2 1/2

Step-by-step explanation:

You can convert the mixed fractions to decimal numbers:

- Divide the numerator by the denominator of the fraction.

- Add the result to the whole number.

Thenyou have:

Barbara's time: [tex]3\ 3/10=3+0.3=3.3[/tex]

Donna's time: [tex]2\ 4/5=2+0.8=2.8[/tex]

Cindy's time: [tex]4\ 3/5=4+0.6=4.6[/tex]

Nicole's time: [tex]2\ 1/10=2+0.1=2.1[/tex]

As you can see, the fastest girl is Cindy and the slowest girl is Nicole.

Then, you must make the following subtraction to calculate the difference:

[tex]4.6-2.1=2.5[/tex] or 2 1/2

Answer:

Cindy's correct time is 3 2/5 (for the portfolio assignment that this question goes with).

Step-by-step explanation:

Answer:

A - 8

Step-by-step explanation:

(21-5)/2

16/2 = 8

Answer: Jack is 8 years old (option A)

Step-by-step explanation:

Hi, to answer this question we have to write an equation using the information given:

Twice : Means that the age of jack (j) is multiplied by 2 (2j),  

Plus 5: we have to add 5 (2j+5).  

Is 21: all is equal to 21.

Mathematically speaking:

2j +5 =21

Solving:

2j =21-5

2j =16

j= 16/2

j=8

Option A). 8

Feel free to ask for more if needed or if you did not understand something.

[tex]\bf \begin{array}{ccll} problems&minutes\\ \cline{1-2} 12&45\\ 20&x \end{array}\implies \cfrac{12}{20}=\cfrac{45}{x}\implies \cfrac{3}{5}=\cfrac{45}{x}\implies 3x=225 \\\\\\ x=\cfrac{225}{3}\implies x=75[/tex]

It takes 75 minutes to solve 20 math problems.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here it takes 45 minutes to solve 12 math problems thus to solve 1 math problem it will take t= 45/12

                                            =3.75 minutes

Thus to solve 20 math problems it will take t₂₀=3.75×20

                                                                            =75 minutes

Hence, It takes 75 minutes to solve 20 math problems.

Learn more about the unitary method here:

https://brainly.com/question/22056199

#SPJ5

Answer:

The original selling price was [tex]\$75[/tex]

Step-by-step explanation:

Let

x-----> the original selling price

we know that

[tex]100\%-20\%=80\%=80/100=0.80[/tex]

so

[tex]0.80(x)=60[/tex] -----> equation that represent the situation

solve for x

Divide by 0.80 both sides

[tex]x=60/0.80=\$75[/tex]

Answer:

Angle of 1 part: 40°

Angle of 2 parts: 80°

Step-by-step explanation:

Angles in a circle / Equal parts of a circles = Angle of 1 part

360/9 = 40°

40 x 2 = 80

Answer:

36

Step-by-step explanation:

1. 48 divided by 3= 12

2. 12 x 3= 36

Answer: option d.

Step-by-step explanation:

You have the following formul given in the problem:

[tex]p=1-e^{-mt}[/tex]

You know that:

The number of  customers serviced in an hour by the technical support representative is 6 costumbers, therefore:

[tex]m=6[/tex]

As the problem asked for the probability that  a costumber will be on hold less than 30 minutes, we know that:

[tex]t=0.5[/tex]

Substitute the values above into the formula.

Then, you obtain:

[tex]p=1-e^{-(6)(0.5)}=0.95[/tex] or 95%

Answer:

1.    2x(-3x - 1)

-6x^2 - 2x

2.   -x(4 + 2x)

-4x - 2x^2

3.   -5x(-2x + 4)

10x^2 - 20x

4.   x(-2x - 2) + 3(-4x - 6x)

-2x^2 - 2x - 12x - 18x

-2x^2 - 32x

5.   2xy(-3x - 5y) + 4y(-2xy - 4x)

-6x^2y - 10xy^2 -8xy^2 - 16yx

-6x^2y -18xy^2 - 16yx

You just distribute (multiply) what's outside the parentheses with everything inside the parentheses.  Then, combine like terms.

Answer:

1.    2x(-3x - 1)

-6x^2 - 2x

2.   -x(4 + 2x)

-4x - 2x^2

3.   -5x(-2x + 4)

10x^2 - 20x

4.   x(-2x - 2) + 3(-4x - 6x)

-2x^2 - 2x - 12x - 18x

-2x^2 - 32x

5.   2xy(-3x - 5y) + 4y(-2xy - 4x)

-6x^2y - 10xy^2 -8xy^2 - 16yx

-6x^2y -18xy^2 - 16yx

Answer:

The second option.

3x + 6 = 21.

Step-by-step explanation:

3x + 6 = 21.

If x = 5, plug it in.

3 · 5 + 6 = 21

15 + 6 = 21

Hope this helps,

Davinia.

Answer:

Second Option

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Let his age = x

Equation

x - 12 = 14            

Solution

Add 12 to both sides.

x - 12 +12 = 14 + 12

x = 26

He is currently 26 years old.

ANSWER:

HOPE IT HELPED YOU ☺

Length:width

6 inches: 1 inch

30 inches: 5 inches

Since the ratio for length is multiplied by 5, you would do the same for width.

Answer:

The answer is ; m∠BEH = 55°

Step-by-step explanation:

Answer:

−115.940465

Step-by-step explanation:

Simplified = −115.940465

Answer:

-4/3.

Step-by-step explanation:

Using the change of base formula  convert to  log 3:

logb x = loga x / loga b

log(1/27) 81 = log3 81 / log3 1/27

log3 81  = 4 ( because 3^4 = 81) and log3 1/27 = -3 (because 3^-3 = 1/27)

So  log(1/27) 81 = 4/-3 = -4/3.

he is still looking for seven more flowers

Answer:

The answer is n, greater than or less than 13.

Answer:

[tex]\large\boxed{P=(16+36x)\ ft}[/tex]

Step-by-step explanation:

The formula of an area of a rectangle:

[tex]A=bh[/tex]

b - base

h - height

We have A = 144x ft² and h = 8. Substitute and solve for b:

[tex]144x=8b[/tex]              divide both sides by 8

[tex]b=18x\ ft[/tex]

The formula of a perimeter of a rectangle:

[tex]P=2b+2h[/tex]

Substitute:

[tex]P=2(18x)+2(8)=36x+16[/tex]

Final answer:

To find the two numbers whose sum is 16 and difference is 20, we set up two equations from the given conditions and solve them simultaneously, yielding the numbers 18 and -2.

Explanation:

The student has asked about solving a system of equations where the sum of two numbers is 16 and their difference is 20. We can set up two equations based on the given information:

x + y = 16 (Equation 1, where x and y are the two numbers)

x - y = 20 (Equation 2, because the difference between the two numbers is 20)

To find the two numbers, we can solve this system of equations by adding both equations to eliminate the 'y' variable:

2x = 36

Dividing both sides by 2 gives us x = 18. We then substitute x back into Equation 1 to find y:

18 + y = 16 => y = 16 - 18 => y = -2

Therefore, the two numbers are 18 and -2.

Answer:

1/15

Step-by-step explanation:

You have a 1/3 chance of being an elf.

You have a 1/5 change of having the magic tool.

1/3 × 1/5 = 1×1/3×5 = 1/15

Answer:

it is 1/15

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

What the significance level tells us is that, in this case, there is only a 5% chance that the change in results from the sample happened by random chance.  So that means that most likely the change in results did not happen by random change, and something happen between the times the samples were taken.  In this case, the experiment.

P = 0.05 means that the probability, assuming the null hypothesis is true, that the test statistic will take a value at least as extreme as that actually observed, is 0.05.

P = 0.05 does not represent the probability that the null hypothesis is true or false, nor does it signify that the outcome is 5% higher in one group compared to the other. Instead, P = 0.05 is the probability, assuming the null hypothesis is true, that the test statistic will take a value at least as extreme as the one observed. In simpler terms, it indicates the likelihood of obtaining the observed results, or results more extreme, under the assumption that there is no true effect or difference between the groups.

In hypothesis testing, researchers start with a null hypothesis (H0) that states there is no effect or difference between the groups being compared. The alternative hypothesis (Ha), on the other hand, posits that there is a significant effect or difference. The p-value quantifies the strength of evidence against the null hypothesis. A low p-value (such as P = 0.05) suggests that the observed results are unlikely to have occurred by chance alone, leading to the rejection of the null hypothesis in favor of the alternative hypothesis.

When a study reports a statistically significant improvement in Verbal GRE performance with P = 0.05, it means that the probability of obtaining the observed improvement (or a more significant one) under the assumption of no actual effect is 5% or less. Therefore, there is strong evidence to suggest that the technique used in the experiment does indeed have a positive impact on students' Verbal GRE scores.

To know more about probability here

https://brainly.com/question/11234923

#SPJ2

➷ The perimeter is the sum of all the lengths

206 - (59 + 94) = 53

It is 53 inches.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

53 inches.

Step-by-step explanation:

Perimeter =  sum of the 3 sides so the third side

= 206 - 94 - 59 = 53.

Answer:

SLOPE = -5

Step-by-step explanation:

Because that's what x is.

Answer:

70

Step-by-step explanation:

50+20 = 70

ANSWER

70

EXPLANATION

We want to increase 50 by 40%

Method 1

New amount =50+40% of 50

[tex] = 50 + \frac{40}{100} \times 50[/tex]

[tex] = 50 + \frac{40}{2} [/tex]

[tex] = 50 + 20[/tex]

[tex] = 70[/tex]

Method 2.

50 corresponds to 100%.

New amount corresponds to (100+40=140)%

This implies that, New amount

[tex] = 140\% \times 50[/tex]

[tex] = \frac{140}{100} \times 50[/tex]

[tex] = \frac{140}{2} [/tex]

[tex] = 70[/tex]

Answer:

Linear

Step-by-step explanation:

Hello

Is linear

Best regards

Answer:

Linear

Step-by-step explanation:

Linear function : if the value increases with the constant value per period,

It can written as y = a + bx

Where, a = initial value, b = constant value per period,

Exponential function :  if the value increases with the constant rate per period,

It can be written as,

[tex]y=ab^x[/tex]

Where, a = initial value, b = growth factor per period.

∵ Every year 39 million cars cross the Golden Gate Bridge in San Francisco.

Then after x years, the number of cars ( in million )

f(x) = 39x

⇒ f(x) = 0 + 39x

By the above explanation,

Hence, the function that represents the number of cars that have crossed the Golden Gate Bridge is linear.