What’s a reasonable domain for V(x)=x(11-2x)(17-2x)

Answer:

Step-by-step explanation:

L = 2W + 5

A = LW = 63

L = 63/W

W=63/L

L = 2W + 5

63/W = 2W + 5

63 = 2WW + 5W

2WW + 5W - 63 = 0

2WW + 5W - 63 = 0

is already in quadratic equation form: ax^2 + bx + c = 0

use the quadratic formula to solve for two solutions:

x = ( -b +- sqrt( bb - 4ac ) ) / 2a

the two solutions are:

x = 9/2

x = -7

you cant have a negative solution for length so use the positive one

solve for length:

L=5+2(9/2)

L=5+18/2

L=5+9

L=14

The expression for f(x) is -3x² - 2

Transformation can be any of the following.

Given that g(x) = -3x² + 7

if the graph of g is translated vertically downward by 9 units, that means to get f(x), minus 9 from g(x). That is,

f(x) = -3x² + 7 - 9

f(x) = -3x² - 2

Therefore, the expression for f(x) is -3x² - 2

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Answer:

26 meters

Step-by-step explanation:

To solve the perimeter you need to know the formula which is 6 + 7 x 2 and you get 26 meters

Answer:

4.4

Step-by-step explanation:

40 x 0.45 = 18

40 x 0.56 = 22.4

22.4 - 18 = 4.4

Answer:

I think the answer is c

Step-by-step explanation:

The correct answer is, by choosing a = -2 and b = 1, we satisfy both inequalities .a < b:

To make both inequalities true, we need to select values for a and b that satisfy the given conditions:

a < b: This inequality means that the value of a should be less than the value of b.

|b| < |a|: This inequality means that the absolute value of b should be less than the absolute value of a.

One possible solution that satisfies both conditions is:

a = -2

b = 1

With these values, we have:

-2 < 1 (a < b)

|-1| < |2| (|b| < |a|)

Therefore, by choosing a = -2 and b = 1, we satisfy both inequalities.a < b:

This inequality states that the value of a should be less than the value of b. In other words, a needs to be positioned to the left of b on the number line. To satisfy this condition, we can choose a to be any number that is less than b. In the example I provided, a = -2 and b = 1, we can see that -2 is indeed less than 1, fulfilling the requirement.

|b| < |a|:

This inequality involves the absolute values of a and b. The absolute value of a number is its distance from zero on the number line, always resulting in a non-negative value. The inequality states that the absolute value of b should be less than the absolute value of a. To satisfy this condition, we can choose b to be any number with a smaller absolute value than a. In the example I provided, |1| is less than |(-2)|, as 1 is closer to zero than -2, fulfilling the requirement.

By selecting a = -2 and b = 1, we satisfy both inequalities: a < b and |b| < |a|. The specific values of -2 and 1 were chosen as an example, but there are multiple other values that would also satisfy the given conditions. The important aspect is that a is indeed less than b, and the absolute value of b is smaller than the absolute value of a.

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Answer:

what

Step-by-step explanation:

Answer:12=59

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

solution to the system is where they intercept

Answer:

The length of a 180° arc of a unit circle is π ≈ 3.14 units.

Step-by-step explanation:

Use your knowledge of the circumference of a circle (the length full around) and the fact that there are 360° in the central angle of a full circle. The distance around is proportional to the angle, so an arc of measure 180° will have a length equal to

... (180°/360°) × circumference = (1/2)×circumference

For a unit circle, the circumference is 2π (= π×diameter = 2π×radius). Half that length is π units.

Answer:

I can't give a "smart" explanation but the answer is D) 3.14 units

Answer:

I only know that Y equals 27

Step-by-step explanation:

because the side its Y

Answer:

y= 27 and x= 63

Step-by-step explanation:

for y its is 27 because the other one is 27 and they are the same angle and x=  

63 because a straight line=180 and then there are two 27 angles and you add 27+27=54 then  that by 180 180-54=126 the divide it by 2=63 because there are two of that same angle

The proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places.

To find the proportion of Arts majors who have not found a job, we first need to calculate the total number of students who have not found a job.

The total number of students who have not found a job would be 1500 - 1380 = 120.

To calculate the proportion of students who have not found a job, we can divide the number of students who have not found a job by the total sample size:

The proportion of students who have not found a job = 120 / 1500 = 0.08 or 8%.

Therefore, the proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places. This suggests that a majority of the graduating Arts majors from the University of Western Cape have found employment before their graduation.

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Answer:

C.

Step-by-step explanation.

The unit price of the beef is $5 for 1 pound. Then the correct answer is option C.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The given graph is following the linear pattern for the price of the beef. In the graph, the cost of 1 pound of beef is $5 or for 2 pounds it is 10$.

The equation for the linear graph is written as:-

Cost  = $ [ 5 ( Weight )]

Hence, the correct answer is option C.

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Answer:

Step-by-step explanation:

Using the Pythagorean Theorem, we know the hypotenuse is 2\(\sqrt{26}\)

sin = Opp/hyp ----> \(\frac{5}{2\sqrt26}\)

csc = hyp/opp -----> \(\frac{2\sqrt{26} }{5}\)

cot = adj/opp -------> \(\frac{7}{5}\)

a + 21 = 15

Find common denominator

Combine fractions with common denominator

Multiply the numbers

Rearrange terms

Multiply all terms by the same value to eliminate fraction denominators

Cancel multiplied terms that are in the denominator

Multiply the numbers

Answer:

Step-by-step explanation:

\(\mathrm{\cfrac{7+a}{3}=5}\)

Multiply both sides by 3:-

Subtract 7 from both sides:-

_______________________

Hope this helps!

Answer:

-7/4x-68

Step-by-step explanation:

Step-by-step explanation:

\( { \alpha }^{4} + { \beta }^{4} = ( {( { \alpha }^{2} })^{2} + {( { \beta }^{2} })^{2} \)

\( = {( { \alpha }^{2} + { \beta }^{2} })^{2} - 2( { \alpha }^{2} )( { \beta }^{2} )\)

\( {( {( \alpha + \beta )}^{2} - 2 \alpha \beta ) }^{2} - 2( { \alpha )}^{2} ( { \beta )}^{2} \)

I hope it helped you

Answer:

the last one

Step-by-step explanation:

√ 100  √ 2

√ 10  √ 10  

10 √ 2

To find arcsin, we need to use the identity:

sin(arcsin(x)) = x

Since arcsin is negative, sin(arcsin) is also negative. Therefore, we can say:

sin(arcsin) = -sqrt(1 - (cos)^2)

where (cos)^2 = 8/17

Substituting, we get:

sin(arcsin) = -sqrt(1 - (8/17))

Simplifying, we get:

sin(arcsin) = -sqrt(17/17 - 8/17)

Simplifying further, we get:

sin(arcsin) = -sqrt(9/17)

Therefore, arcsin = -sqrt(9/17)

To find arctan, we need to use the identity:

tan(arctan(x)) = x

Substituting, we get:

tan(arctan) = -8/17

Therefore, arctan = -8/17

So, arcsin is -sqrt(9/17) and arctan is -8/17.

Answer:

Step-by-step explanation:

The solution of the system of linear equations is (x, y, z) = (1, 1, - 3).

In this problem we find a system of three linear equations with three variables, which can be resolved by several methods. In this case, we shall use the method of substitution. First, clear the variable x in the third equation:

x = 4 - 3 · y

Second, substitute x in the first two equations:

3 · (4 - 3 · y) + 2 · y - z = 8

12 - 9 · y + 2 · y - z = 8

- 7 · y - z = - 4

2 · (4 - 3 · y) + 2 · z = - 4

8 - 6 · y + 2 · z = - 4

- 6 · y + 2 · z = - 12

Third, clear z in the first equation derived in the previous step:

z = 4 - 7 · y

Fourth, substitute z in the second equation derived in the second step:

- 6 · y + 2 · (4 - 7 · y) = - 12

- 6 · y + 8 - 14 · y = - 12

- 20 · y = - 20

y = 1

Fifth, calculate y and x:

z = 4 - 7 · 1

z = - 3

x = 4 - 3 · 1

x = 1

The solution of the system of linear equations is (x, y, z) = (1, 1, - 3).

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The angles are formed by a transversal and two parallel lines in the figure. By applying congruent angles and vertical opposite angle property, ∠1 ≅∠3 ≅ ∠5 ≅ ∠7; ∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8. Therefore option B is correct.

Congruent angles are identical to each other and have the same measure. The angles formed by the transversal in corresponding corners are called corresponding angles and they are congruent.

Therefore, ∠1 ≅ ∠5, ∠3 ≅ ∠7----------(1)

At a vertex if two angles are opposite to each other, then they are vertically opposite angles, they are equal and congruent to each other.

Therefore, ∠1 ≅ ∠3, ∠5 ≅ ∠7----------(2)

Combining (1) and (2), we get:

∠1 ≅∠3 ≅ ∠5 ≅ ∠7
Similarly we can find,

∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8.

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Answer: Four Thousand One Hundred Thirteen and Sixty Hundredths three thousandths.

~700 regular sodas to server 864 people

(the actual answer is 699.4285)

The number of regular sodas that should be bought will be 700 regular sodas.

If out of 21 people prefer diet soda to regular soda, then it means that 17 people prefer regular soda.

Since the number of people are 864 people, then the number of regular sodas that'll be bought will be:

= 17/21 × 864

= 699.42

= 700 Approximately

Therefore, the number of regular sodas that should be bought will be 700 regular sodas.

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       A) -  Event  "A  or  B"  Consists  of  the Outcomes:

               {2, 3, 4, 5, 6, 8}

      B) - Event  "A  or  "B"  Consists  of the Outcomes:

             {4,  6}

      C) -  The "COMPLEMENT  of EVENT  "A"  Consists of the Outcomes:

             {1, 3, 5, 7}

MAKE A PLAN:

List The OUTCOMES for EACH EVENT and their COMBINATIONS:

        a) -  EVENT  "A":  {2, 4, 6, 8}

               EVENT "B":   {3, 4, 5, 6}

               EVENT "A" or "B": {2, 3, 4, 5, 6, 8}

        b) - EVENT "A"  or "B":  {4, 6}

        c) -  The COMPLEMENT of the EVENT "A":  {1, 3, 5, 7}

       A) -  Event  "A  or  B"  Consists  of  the Outcomes:

               {2, 3, 4, 5, 6, 8}

      B) - Event  "A  or  "B"  Consists  of the Outcomes:

            {4,  6}

      C) - The "COMPLEMENT  of EVENT  "A"  Consists of the Outcomes:

             {1, 3, 5, 7}

I hope this helps!

Answer:

y=-7x+1

Step-by-step explanation: Hope this helps!!

Can i have brainliest?

Answer:

a) .38 × 2,450 = 931 people buy the local newspaper.

b) 2,450 - 931 = 1,519 people do not buy the local newspaper.