Solve the following equation for b: -6 (-3-b) = 18 + 6b

The  values of x will f(x) > 0 for x < 0, and f(x) < 0 for -6 < x < 0 and x > -6.

To determine the values of x for which f(x) > 0, we need to find the intervals where the function is positive. Let's analyze the function f(x) = x*-x³-6x².

First, let's factor out an x from the expression to simplify it: f(x) = x(-x² - 6x).

Now, we can observe that if x = 0, the entire expression becomes 0, so f(x) = 0.

Next, we analyze the signs of the factors:

1. For x < 0, both x and (-x² - 6x) are negative, resulting in a positive product. Hence, f(x) > 0 in this range.

2. For -6 < x < 0, x is negative, but (-x² - 6x) is positive, resulting in a negative product. Therefore, f(x) < 0 in this range.

3. For x > -6, both x and (-x² - 6x) are positive, resulting in a negative product. Thus, f(x) < 0 in this range.  

For such more questions on values

https://brainly.com/question/843074

#SPJ8

Answer:

35.09°

Step-by-step explanation:

You can use cos theta to find the value of x.

Let us solve now.

They have already given the lengths of the hypotenuse and adjacent.

Hypotenuse = 33

Adjacent = 27

Let us solve now.

Cos x = Adjacent ÷ Hypotenuse

Cos x = 27 ÷ 33

Cos x = 0.8181

x = Cos⁻¹ 0.8181

x = 35.09°

Hope this helps you :-)

Let me know if you have any other questions :)

Answer:

2,160.00

Step-by-step explanation:

okay so first we have to find 4.5% of 12,000

which is 540, then multiply 540 by the four years and

540 x 4 = 2,160.00

The total loan amount would be equal to $14,310 in four years when Jay graduates.

Given the following data:

To determine how much (future value) the total loan amount would equal in four years when he graduates:

Mathematically, compound interest is given by the formula:

\(A = P(1 + r)^{t}\)

Where;

Substituting the given parameters into the formula, we have;

\(A = 12000(1 + 0.045)^{4}\\\\A=12000(1.045)^{4}\\\\A=12000(1.1925)\)

Future value, A = $14,310

Read more: https://brainly.com/question/16992474

Answer:

D

Step-by-step explanation:

In my calculus class they taught a method of swircle. This is were you start at the variable b in the logarithm and draw a line to the a and then to the x. It should make a circle like motion. This spoken out is b to the a power = x. It may be a little weird at first but it makes it very easy to remember.

Answer:

12 people!

Step-by-step explanation:

each pizza is cut into 4 pieces, and there are 3 whole pizzas. 4 times 3= 12!

Answer:

12

Step-by-step explanation:

Since we have 3 pizzas, and we know that the pizzas are cut 1/4, We can multiply 3 to 4. We should get 12!

Deeper explanation:

We have 3 pizzas and they're cut 1/4. Draw 3 pizzas cut by fourths. Now count the pizza slices. We have 12 slices!

If factory produces sheets of metal that are 0.032 inch thick, the box is not deep enough to hold 400 sheets of metal.

To determine whether a box that is 12 inches deep can hold 400 sheets of metal that are 0.032 inch thick, we need to calculate the total thickness of the sheets and compare it to the depth of the box.

The total thickness of 400 sheets can be calculated by multiplying the thickness of one sheet by the number of sheets:

0.032 inch/sheet x 400 sheets = 12.8 inches

So the total thickness of 400 sheets is 12.8 inches, which is greater than the depth of the box, which is 12 inches. This means that the box is not deep enough to hold 400 sheets of metal.

If the factory wants to store 400 sheets in a box that is 12 inches deep, they would need to use sheets that are thinner than 0.032 inch, or use a box that is deeper than 12 inches.

To learn more about thickness click on,

https://brainly.com/question/29207277

#SPJ4

Jimmy's age = (serena age + tyler age) - 1

The simplified sum -3x / (x²-9) + 4/(2x) - 6 simplifies to -6x² + x + 42, with the restriction that x cannot equal -3 or 3.

To simplify the given sum, we first factor the denominator of the first fraction, x²-9, as (x-3)(x+3).

This introduces a restriction where x cannot equal -3 or 3 since it would result in division by zero.

Next, we simplify the second fraction by dividing both the numerator and denominator by 2, resulting in 2/(x).

Combining the fractions with a common denominator of (x-3)(x+3), we get (-3x + 4(x-3) - 6(x-3)(x+3)) / [(x-3)(x+3)].

Simplifying the numerator gives -3x + 4x - 12 - 6(x²-9), which simplifies further to -3x + 4x - 12 - 6x² + 54.

The final simplified expression is -6x² + x + 42.

Learn more about Fraction click here :brainly.com/question/1301963

#SPJ11

Answer:

Rational numbers are sometimes natural numbers​

Step-by-step explanation:

8 is a Rational number and is natural too

1/2  is a Rational number and but is not natural

Answer:

4

Step-by-step explanation:

Notice each side was increased by 4 times

You can set up a ratio of

\(\frac{new}{old}\)

then reduce or divide

okay lets begin with the first part of it which is tan

sinx=p/h -----> some people have  

cosx=b/h ----> curly brown hair  

tanx=p/b -----> through proper brushing

an easy way to remember the ratios ^

we have sin and cos so we can say that the h=41 b= 40 and p is 9

so tan will be \(tanA=\frac{9}{40}\)

now csc sec and cot are reciprocals of sin cos and tan

so sinA is 9/41 cscA will be 41/9

cosA is 40/41 secA will be 41/40

tanA is 40/9 cotA will be 40/0

Answer:

dear hope it helps you...

Answer:

senior ticket = $10     child's ticket = $8

Step-by-step explanation:

s = senior ticket

c = child's ticket

We need to write 2 equations, and we have 2 unknowns, s and c.

3s + 5c = $70

12s + 12c = $216

First solve for s using the first equation.

3s + 5c = 70    Subtract 5c from each side

3s + 5c - 5c = 70 - 5c

3s =  70 - 5c     Divide each side by 3

3s/3 =  (70 - 5c)/3

s = \(\frac{70 - 5c}{3}\)

Now plug in s into the second equation.

12s + 12c = 216

12(\(\frac{70 - 5c}{3}\)) + 12c = 216

\(\frac{12}{3}\) (70 - 5c) + 12c = 216

4 (70 - 5c) + 12c = 216

280 - 20c + 12c = 216

280 - 8c = 216  Add 8c to each side

280 - 8c + 8c = 216 + 8c

280 = 216 + 8c   Subtract 216 from each side.

280 - 216 = 216 - 216 + 8c

280 - 216 = 8c

64 = 8c   Divide each side by 8

64/8 = 8c/8

64/8 = c

8 = c

Now plug c into the first equation and solve for s.

3s + 5c = 70

3s + 5(8) = 70

3s + 40 = 70    Subtract 40 from each side.

3s + 40 - 40 = 70 - 40

3s = 70 - 40

3s = 30  Divide each side by 3

3s/3 = 30/3

s = 30/3

s = 10

So a senior ticket costs $10 and a child's ticket costs $8.

Answer:

c = 3

Step-by-step explanation:

Hope it helps and have a great night! =D

~shining stars~

The value of 'c' in the 32^{2c} = 8^{c+7}\(32^{2c} = 8^{c+7}\) is, 3.

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents is only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

Given, An expression \(32^{2c} = 8^{c+7}\).

Now, To equate the exponents we have to change the bases to the same value.

Therefore, \(32^{2c} = 8^{c+7}\) ⇒ \((2^5)^{2c} = (2^3)^{c+7}\).

5(2c) = 3(c + 7).

10c = 3c + 21.

7c = 21.

c = 3.

learn more about exponents here :

https://brainly.com/question/5497425

#SPJ7

Answer:

b = - 7 , b = 0

Step-by-step explanation:

b(b + 7) = 0

equate each factor to zero and solve for b

b = 0

b + 7 = 0 ⇒ b = - 7

You save the amount of  38.4 cents of money by buying a larger jug instead of two cartons.

You save the amount of 38.4 cents of money by buying a larger jug instead of two cartons

we know that

The total cost of a larger jug is

\(4.8\times 128=614.4 cents\)

The total cost, in economics, is the sum of all costs incurred by a firm in producing a certain level of output.

The total cost of two cartons of the jug is,

\(5.8\times 128=652.8 cents\)

The difference is equal to,

\(652.8-614.4=38.4 cents\)

You save the amount of  38.4 cents of money by buying a larger jug instead of two cartons.

To learn more about the number of visits:

https://brainly.com/question/1153322

#SPJ1

73.0

Step-by-step explanation:

tan 67°=O/A=h/31

h=31tan67°

h=73.0

The correct answer is D. The quadratic function has no real zeros if a > 0 and k>0 or a < 0 and k<0. This is because in the vertex form y=a(x- h2) + k, the value of k determines the vertical shift of the graph, and the value of a determines the direction of the graph. If a>0 and k>0, the graph will be shifted up and open upward, meaning it will not cross the x-axis and therefore have no real zeros.

Similarly, if a<0 and k<0, the graph will be shifted down and open downward, also not crossing the x-axis and having no real zeros.  The vertex form of a quadratic function is y = a(x - h)^2 + k, where (h, k) represents the vertex of the parabola. The value of a determines the shape of the parabola: if a > 0, the parabola opens upwards, and if a < 0, the parabola opens downwards.

For a quadratic function to have no real zeros, it must not intersect the x-axis. This means that the vertex of the parabola must be above or below the x-axis, depending on the direction of the opening.

Read more about   quadratic here:https://brainly.com/question/1214333

#SPJ11

Answer:  NO/MN   =     QR/PQ

Answer:

\(\frac{NO}{MN}\) = \(\frac{QR}{FQ}\)

Step-by-step explanation:

∠ 0 ≅ ∠ R and ∠ M ≅∠ F

thus Δ NOM ≅ ∠ QRF ( by the AA postulate )

the ratios of corresponding sides are in proportion, so

\(\frac{NO}{MN}\) = \(\frac{QR}{FQ}\)

The pair of hypotheses used to test if the mean of the first population is smaller than the mean of the second population, using independent random sampling, is H0: µ1-µ2 ≥ 0 and HA: µ1-µ2 < 0.

The given pair of hypotheses represents a one-tailed test where we are interested in determining if the mean of the first population (µ1) is smaller than the mean of the second population (µ2).

The null hypothesis (H0) states that the difference between the means, represented by (µ1-µ2), is greater than or equal to zero. This means that there is no significant difference between the means or that the mean of the first population is equal to or greater than the mean of the second population.

The alternative hypothesis (HA) states that the difference between the means, represented by (µ1-µ2), is less than zero. This suggests that there is a significant difference between the means and specifically indicates that the mean of the first population is smaller than the mean of the second population.

By conducting a statistical test, such as a t-test or z-test, and analyzing the results, we can evaluate the evidence and make an inference regarding the relationship between the means of the two populations based on the given pair of hypotheses.

Learn more about hypothesis here:

https://brainly.com/question/30899146

#SPJ11

Answer:I think you can say like the most bought music in class B is alternative and the lowest one is classical and so on

Step-by-step explanation:

Answer:

X = -25

Step-by-step explanation:

Given function  is ln(x) = 6 - x. We need to find the approximate solution of the given equation by using Newton's method. We have to start with x0 = 7 and find x2.

The Newton's method is given by the formula:Xn+1 = Xn - f(Xn) / f'(Xn)Where Xn+1 is the next value of x, Xn is the current value of x, f(Xn) is the value of the function at Xn, and f'(Xn) is the derivative of the function at Xn.Now, we will find the value of x2 as follows:Let us find the first derivative of the given function.

f(x) = ln(x) - 6 + xf'(x) = 1 / x + 1Now, we will substitute the given values in the Newton's formula:X1 = 7 - [ln(7) - 6 + 7] / [1 / 7 + 1]X1 = 7.14668...Similarly,X2 = X1 - [ln(X1) - 6 + X1] / [1 / X1 + 1]X2 = 6.999001...Therefore, the value of x2 is 6.999001... .It is expected that the answer will contain more than 100 words.

To know more about function visit :

brainly.com/question/30721594

#SPJ11

Answer:

The ball reaches its maximum height at 2.5 seconds

The maximum height is 100 feet

Step-by-step explanation:

Maximum Value of Functions

We use the derivative of a function to find its maximum or minimum value over a given interval.

Given a function y=f(x), the first derivative criterion establishes if x=a is such that:

f'(a)=0, and f''(a) < 0 then x=a is a maximum of f.

The height h in feet of a ball after t seconds is:

\(h(t)=-16t^2+80t\)

Find the first derivative:

\(h'(t)=-32t+80\)

Equate to 0:

\(-32t+80=0\)

Subtract 80:

\(-32t=-80\)

Divide by -32:

\(t = -80 / (-32) = 2.5\)

t=2.5 seconds

Find the second derivative:

h''(t)=-32

Since h''(t) is always negative, then

The ball reaches its maximum height at 2.5 seconds

To find the value of the maximum height, substitute t=2.5 into the function:

\(h(2.5)=-16(2.5)^2+80*2.5=-100+200 = 100\)

The maximum height is 100 feet

Rate of change:-

Slope:-

So

Next time is off course 50 .

Price should be calculated

Option A✓

Check all

Option B:-

No

Option C

yes

Option D

Yes

Answer:

w > -15

Step-by-step explanation:

(w/5-5>-8)5

w-25>-40

w>-40+25

w > -15

Answer:

w=−12

Step-by-step explanation:

Answer:

When f or g are equivalent to a number you are solving for x. For example b, d, e, f. In the equation g(x) =2x2-5 I assumed 2 was a typo. So, if it's incorrect, please use same steps and just adjust the solution.

Step-by-step explanation:

\(f(x)=-\frac{2}{3x}+3\)

a) \(f(3)=-\frac{2}{2(3)} +3\)

           \(=-\frac{1}{3}+3\) \(=\frac{-1+6}{3}\) \(=\frac{5}{3}\)

b) \(f(x)=-5\)

      \(-5=-\frac{2}{3x}+3\)

      \(-8=-\frac{2}{3x}\)

  \(-24x=-2\)

        \(x=\frac{1}{12}\)

\(g(x)=2x-5\)

c) \(g(-3)=2(-3)-5\)

               \(=-6-5\)

               \(=-11\)

d) \(g(x)=-7\)

      \(-7=2x-5\)

      \(-2=2x\)

        \(x=-1\)

e) \(g(x)=8\)

        \(8=2x-5\)

       \(12=2x\)

        \(x=6\)

f)  \(g(x)=9\)

         \(9=2x-5\)

        \(11=2x\)

         \(x=\frac{11}{2}\)