What is the starting value (y-intercept) of the exponential functionrepresented in the table of values below? *

Answer: -2 and 4

Step-by-step explanation:

\(f(x) = \frac{-2x+2}{2x+4}\)            g(x) = -2x+8

Question asks what the domain is if we had f(x) ÷ g(x)

\(\frac{f(x)}{g(x)} = \frac{-2x+2}{2x+4}\)  ÷                  >When dividing fractions, keep the first

                                                      Change the sign, flip the second fraction

\(\frac{f(x)}{g(x)} = \frac{-2x+2}{2x+4} * \frac{1}{-2x+8}\)        

\(\frac{f(x)}{g(x)} = \frac{-2x+2}{(2x+4)(-2x+8)}\)          

> you can never get a 0 on the bottom of division so that is where the exception of what x cannot be.

2x+4 = 0

2x= -4

x =  -2

and

-2x+8 = =

-2x = -8

x = 4

So x cannot be -2 and 4

Step-by-step explanation:

7 × 1/3 = 2 1/3

11×7/8=9 5/8

Answer: A = 37°

c = 8.31

b = 6.63

Step-by-step explanation:

I suppose that the triangle is something like the one below.

Then we know the measure of an angle and the length of the adjacent cathetus.

a = 5

B = 53°

Now we can use the relationships:

Tan(B) = (opposite cathetus)/(Adjacent cathetus) = b/a

Cos(B) = (adjacent cathetus)/(hypotenuse) = a/c

Sin(B) = (opposite cathetus)/(hypotenuse) = b/c

Then we have:

Tan(53°) = b/5

Tan(53°)*5 = b = 6.63

So we found the length of b.

Now we can use the second relationship to find the length of c:

cos(53°) = 5/c

c = 5/cos(53°) = 8.31

Now, to find the angle A we can use the fact that the sum of all interior angles of a triangle must be equal to 180°

We know that is a triangle rectangle, so we have an angle equal to 90°, this one is C = 90°, and we also know that B = 53°

Then:

A + B + C = 180°

A + 53° + 90° = 180°

A + 53° = 180° - 90° = 90°

A = 90° - 53° = 37°

Then:

A = 37°

c = 8.31

b = 6.63

The price of the stove = $850

The payment down = $127.50

We will subtract 127.50 from 850 to find the rest amount should be paid

850 - 127.50 = $722.5

The remainder = $722.50

The value of each installment = $46.79

For 18 month

The amount of installments = 18 * 46.79 = $842.22

the finance charge is the difference between the total installments and the remainder

Finance charge = 842.22 - 722.50 = $119.72

The finance charge is $119.72

Answer: A im pretty sure

Answer:

c

you can do this brooo(θ‿θ)(θ‿θ)(θ‿θ)

Brooklyn needs to invest $432.43, rounded to the nearest ten dollars.

To determine how much Brooklyn needs to invest in an account that pays a continuously compounded interest rate, we can use the formula:

A = \(Pe^(^r^t^)\)

where A is the future value of the account, P is the principal investment, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.

In this case, we want the future value of the account to be $640, the interest rate is 3.5% (or 0.035 as a decimal), and the time is 9 years. We can substitute these values into the formula and solve for P:

640 = \(Pe^(^0^.^0^3^5^*^9^)\)

640 = Pe^0.315

P =\(640/e^0^.^3^1^5\)

P = 432.43

Therefore, to have a future value of $640 in 9 years with a continuously compounded interest rate of 3.5%.

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\(\huge\text{Hey there!}\)

\(\mathsf{w - 0.2 = 0.8}\\\\\large\text{ADD 0.2 to both sides:}\\\\\mathsf{w - 0.2 + 0.2 = 0.8 + 0.2}\\\\\large\text{SIMPLIFY it:}\\\\\mathsf{w = 0.8 + 0.2}\\\\\mathsf{w = 1}\\\\\\\\\huge\text{Therefore, your answer should be:}\\\\\huge\boxed{\mathsf{w = 1}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

\( \sf \: W = 1 \)

Step-by-step explanation:

Now we have to,

→ Find the required value of W.

The equation is,

→ W - 0.2 = 0.8

Then the value of W will be,

→ W - 0.2 = 0.8

→ W = 0.8 + 0.2

→ [ W = 1 ]

Hence, the value of W is 1.

Answer:

The answer is x>3

Step-by-step explanation:

Here is a screen shot Hope it helped

9x-2+52=180

That's the answer

Answer:

14.44444444444444444444444444444444444

Step-by-step explanation:

9x - 2 + 52 = 180

simplify

9x +50 = 180

9x = 130

14.4444444444

The asymptotes of the graph of \(f(x) = \frac{5}{x - 1}\) are as follows:

In this problem, the function is:

\(f(x) = \frac{5}{x - 1}\)

For the vertical asymptote, we have that:

\(x - 1 = 0 \rightarrow x = 1\).

For the horizontal asymptote, we have that:

\(y = \lim_{x \rightarrow \infty} f(x) = \frac{5}{\infty - 1} = 0\).

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\(\\ \rm\longmapsto P(Quarter)\)

\(\\ \rm\longmapsto \dfrac{1}{5}\)

\(\\ \rm\longmapsto 20\%\)

Answer:

No of objects=5

\(\begin{gathered}\\ \sf {P(Quarter)}\end{gathered}\)

\(\begin{gathered}\\ \sf \dfrac{1}{5}\end{gathered}\)

\(\begin{gathered}\\ \sf 20\%\end{gathered}\)

Answer:

Step-by-step explanation:

We need to wrote this in terms of x

so x = 4 (10 - 2)

Do the operations in parentheses first.

x = 4 x 8

x = 32

Answer:

Cheap; Bad

Step-by-step explanation:

According to the experience in the real world.

Answer:

∅ = 10.9º

Step-by-step explanation:

tan = opp/adj = 250/1300

∅ = arctan250/1300

use calculator

∅ = 10.9º

Answer:

14

Step-by-step explanation: add all the x's and you get 14 that show's how many apples her clients ate last week

Answer:

2z+6 or 2(z+3) are the equivalent expressions

Step-by-step explanation:

z+(z+6)

opening the brackets

z+z+6

=2z+6

or if we take 2 as common the answer is

=2(z+3)

i hope this will help you :)

Answer:

Given that the expression is z+(z+6)

The equivalent expression to the give expression

From the given expression z+ (z+6)

z+ (z+6)

=z+z+6

Adding the like terms

=2z+6

Taking the common term 2 outside of the above expression

=2(z+3)

Therefore z+ (z+6)  =2(z+3)

Therefore the other given optional expressions are not equivalent to the given expression.

The option 2(z+3) is correct and it is the equivalent expression.

Hence the given expression z+ (z+6)  is equivalent to the expression 2(z+3)

Answer:

y = -8/3x + 8

Step-by-step explanation:

Step 1:  Identify which values we have and need to find in the slope-intercept form:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.

Step 2:  Find m, the slope of the line:

Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:

0 = m(3) + 8

0 = 3m + 8

-8 = 3m

-8/3 = m

Thus, the slope is -8/3.

Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.

Optional Step 3:  Check the validity of the answer:

Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:

Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:

0 = -8/3(3) + 8

0 = -24/3 + 8

0 = -8 = 8

0 = 0

Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;

8 = -8/3(0) + 8

8 = 0 + 8

8 = 8

Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.

The expression that can be use to determine the amount of money Angel would after saved for 5 weeks is  30 + 8w.

The total money Angel will save after 5 weeks is 70 dollars.

Angel is saving up to buy a new video game. He already has 30 dollars and can save an additional 8 dollars per week using money from his after school job.

The expression that can be use to determine the amount of money Angel would after saved for 5 weeks is as follows:

amount saved = 30 + 8w

where

The total money Angel will save after 5 weeks can be calculated as follows:

amount saved = 30 + 8w

where

Hence,

amount saved = 30 + 8(5)

amount saved = 30 + 40

amount saved = 70 dollars

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Answer:

320

Step-by-step explanation:

Is the 3 to 2 part to part?  Out of every 5 people, 3 prefer pizza and 2 do not.  We can us this to set up a proportion.

3/5 = 120/x  The 3 represent the part that like pizza over the whole of 5.  The second ratio is showing the actual number of people that liked pizza over the total number of people.

What would be multiply 3 by to get 120? 40.  So, we will multiply 5 times 40 to get the total number of people.  5 x 40 = 200

Answer:

c should be correct (96÷8)-2³

Step-by-step explanation:

If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.

The rate is the ratio of one value, expression, measurement, or quantity compared to another.

The rate represents the quotient of the numerator and the denominator.

The rate is expressed as a percentage by multiplication with 100.

The number of students who took the ACET this year = 27,813

The number of students who were admitted into the Ateneo = 2,836

The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)

= 10.2%

Thus, we can conclude that the acceptance rate or percentage is Option B.

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Answer:

a. Mean: 9.5.

Standard deviation: 2.18.

b. The critical value for signficantly low girl births is 5.14.

The critical value for signficantly high girl births is 13.86.

Step-by-step explanation:

a) If we take a sample of 19 births, all with individual probability of 0.5, we have a random binomial variable with n=19 and p=0.5.

This random variable will have mean and standard deviation calculated as:

\(\mu=n\cdot p=19\cdot0.5=9.5\\\\\sigma=\sqrt{np(1-p)}=\sqrt{19\cdot0.5\cdpot0.5}=\sqrt{4.75}=2.18\)

b) Range rule of thumb: The standard deviation is approximately a quarter of the range, difference between the maximum and minimum value.

The range rule of thumb tells us that the expected minimum and maximum value are 2 standards deviation below or above, respectively, from the mean.

Then, the extreme expected values are:

\(Min=\mu-2\sigma=9.5-2\cdot2.18=9.5-4.36=5.14\\\\Max=\mu+2\sigma=9.5+2\cdot2.18=9.5+4.36=13.86\)

The critical value for signficantly low girl births is 5.14.

The critical value for signficantly high girl births is 13.86.

The likelihood of having a girl child is its probability

The given parameters are:

\(\mathbf{n = 19}\) --- sample size

\(\mathbf{p = 0.5}\) --- the probability of a girl child

(a) Mean and standard deviation

The mean is calculated as:

\(\mathbf{Mean = np}\)

So, we have:

\(\mathbf{\bar x= 19 \times 0.5}\)

\(\mathbf{\bar x = 9.5}\)

The standard deviation is:

\(\mathbf{SD = \sqrt{np(1 - p)}}\)

So, we have:

\(\mathbf{\sigma= \sqrt{19 \times 0.5 \times (1 - 0.5)}}\)

\(\mathbf{\sigma= \sqrt{4.75}}\)

\(\mathbf{\sigma= 2.18}\)

Hence, the mean and the standard deviation are 9.5 and 2.18, respectively.

(b) The values separating the significantly low and high results

Using the range rule of thumb, we have:

\(\mathbf{Low = \bar x - 2\sigma}\)

\(\mathbf{High = \bar x + 2\sigma}\)

So, we have:

\(\mathbf{Low= 9.5 - 2 \times 2.18 = 5.14}\)

\(\mathbf{High= 9.5 + 2 \times 2.18 = 13.86}\)

Hence, the values separating the significantly low and high results are 5.14 and 13.86, respectively.

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To reflect a point over the y-axis, we negate the x-coordinate of the point. To reflect the resulting point over the x-axis, we negate the y-coordinate of the point. So, to find the new point A'', we can perform these operations on the original point A:

1. Reflect A over the y-axis to get A': (-2, 2)

2. Reflect A' over the x-axis to get A'': (-2, -2)

Therefore, the new point A'' is (-2, -2).

Answer: x=2

Step-by-step explanation:

8=10x-12

20=10x

x=2

Answer and step-by-step explanation:

On the graph, it shows no kind of function, all it shows is the coordinate plane. That means that it has no x-intercept, no y-intercept, and has no minimum/maximum. Otherwise, there is not enough information to graph it.

Answer:

B(1.25,5)

Step-by-step explanation:

y... -5, 0, 5

x... -0.5, 1.25, 3

Answer:

The endpoint coordinates are (2,5)

Step-by-step explanation:

You can use Omni calculator its completely free and it gives the exact answer.

The fastest way to find the missing endpoint is to determine the distance from the known endpoint to the midpoint and then performing the same transformation on the midpoint.

Answer:

x = 19

Step-by-step explanation:

So cos and sin are closely related, but they are not equal. In order for these two to be equal to each other, the angles (in the parenthesis by the cos and by the sin) have to be complementary. That is, they have to add up to 90°

Use this idea to set up an equation.

x + 16 + 3x - 2 = 90

Combine like terms.

4x + 14 = 90

Subtract 14.

4x = 76

Divide by 4.

x = 19

x = 19

If you are kooking for the angles:

x + 16

= 19 + 16

= 35

and

3x - 2

= 3(19) - 2

= 57 - 2

= 55

Check: 35 + 55=90

Also,

cos35 = sin55

The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:

L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2

The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.

Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:

L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral  be solved.

We can, however, find a general solution. We use the above formula and substitute the limits of integration.

Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

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Answer:

872 sq inches

Step-by-step explanation:

Total surface area = 2 × (17 × 12) + 2 × (8 × 17) + 2 × (12 × 8)

                               = 408 + 272 + 192 = 872