Maximize the objective function P = 2x + 1.5y for the feasible region shown. State the maximum value for P and the ordered pair at which the maximum value occurs.

the answer would end up rounding to 31. :)

Answer: C

1/4

Step-by-step explanation:

Given a graph for the transformation of f(x) in the format g(x) = f(kx),

This means that for every value of x, f(x) will take the value it would have had at kx, that is, the graph of f(x) is stretched by a factor of 1/k in the direction of positive x-direction.

Therefore, the value of k will be 1/4.

Answer:

k=4

Step-by-step explanation:

Answer:

6:00 p.m.

hope this helps :)

Answer:

Her Verticle ramp support was 5.5 ft tall.

Step-by-step explanation:

In this type of question, you would need to use the saying "soh cah toa".

Soh Cah Toa is a saying that people use for Sin, Cosine, and tagent. Each of those mean

Sine: opposite/hypotenuse Cosine: Adjacent/hypotenuse and Tagent: Opposite/Adjacent

In this specific question to figure out how tall or high her support is or needs to be have to 20 degree  angle off the ground, you will need to use Sin which is opposite over Hypotenuse or x/16

To find the answer in your calculator you would do:

Sin(20)=x/16

First thing you do is the get the x on one side by itself so you would multiply 16 on both sides giving you:

16 × Sin(20)= x

You would then follow to put Sin(20) in your calculator giving you 0.34202014332

After that you multiply that number by 16

5.47232229321

Rounding to the nearest tenth you get answer:

5.5

Answer:

See below.

Step-by-step explanation:

Here, we have two (presumably) parallel lines cut by a transversal. The two expressions corresponds to alternate interior angles. Alternate interior angles are always equivalent when two parallel lines are cut by a transversal. In other words, the two expressions are equal to each other. Therefore:

EQUATION:

[tex]-8x+8=-6x+20[/tex]

Now, solve for x to find the value of x:

[tex]-8x+8=-6x+20\\-2x+8=20\\-2x=12\\x=-6[/tex]

So, the value of x is -6.

To find the angle measures, simply plug -6 as x back into the expressions:

[tex]-8(-6)+8=48+8=56\\-6(-6)+20=36+20=56[/tex]

Thus, each of the angle measures 56 degrees. As expected, they are equivalent.

Answer:

73.2

Step-by-step explanation:

you can find the answer using trigonometry relationship

sin31°=41/x

x=41/sin31°. sin31° is approximately equal to 0.56

x=41/0.56

x=73.2

Hi king,

Let's split it into two prisms.

[tex]V_{1}=5cm*10cm*3cm\\V_{1} =150cm^{3}[/tex]

[tex]V_{2}=5cm*10cm*(9cm-5cm)\\V_{2}=5cm*10cm*4cm\\V_{2} =200cm^{3}[/tex]

The prism in the picture:

[tex]V_{final}=150cm^{3} +200cm^{3} \\V_{final}=350cm^{3}[/tex]

Have a good day.

Answer:

see below

Step-by-step explanation:

We need to write it on vertex form (f(x) = a(x - c)² + d where (c, d) is the vertex) and to do that we will complete the square.

f(x) = x² + 3x - 2

= (x² + 3x + 9/4) - 9/4 - 2

= (x + 1.5)² - 4.25

The vertex is (-1.5, -4.25).

Answer:  13.5 units³

Step-by-step explanation:

[tex]\dfrac{5}{2}\times \dfrac{27}{5}\quad =\dfrac{27}{2}\quad =\large\boxed{13.5\ units^3}[/tex]

Answer:

400

Step-by-step explanation:

There are 400.

Assuming the number must be at least 10,000, then:

In a 5 digit palindrome, the first and last digits must be the same, and the second and fourth digits must be the same; and:

For the first and last digit there is a choice of 4 digits {2, 4, 6, 8};

For each of these there is a choice of 10 digits {0, 1, ..., 9} for the second and fourth digits;

For each of the above choices these is a choice of 10 digits {0, 1, ..., 9} for the third digit;

Making 4 x 10 x 10 = 400 possible even 5 digit palindromes.

Answer:

For mileages higher than 80 miles Company A  will charge less than Company B

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

Company A charges $111 and allows unlimited mileage.

Company A =111

Company B has an initial fee of $55 and charges an additional $0.70 for every mile driven

Company B = 55+0.70m

Where m is the number of miles.

Company A has to charge less than Company B

a<b

111 < 55+0.70m

Solving for m

111-55 < 0.70 m

56 < 0.70m

56/0.70 < m

80 < m  

For mileages higher than 80 miles Company A will charge less than Company B

Answer:

[tex]44^\circ[/tex]

Step-by-step explanation:

The angle measuring [tex]y^\circ[/tex] is formed by two secants intersecting at an exterior point.

The measure of that angle is half the difference between the big intercepted arc and the little intercepted arc.

y = 1/2 (m arc FKB - m arc CGJ)

Plug in the values you know.

56 = 1/2 (156 - m arc CGJ)

Multiply both sides by 2 to clear the fraction.

112 = 156 - m arc CGJ

Subtract 156.

-44 = - m arc CGJ

44 = m arc CGJ

The measure of the little intercepted arc is [tex]44^\circ[/tex].

Answer:

f(-1) = 12

Step-by-step explanation:

Using the graph for f(x)  let x=-1

Find the y value when x= -1

f(-1) = 12

Answer:

2/21.

Step-by-step explanation:

[tex]\frac{2}{7}[/tex] ÷ 3 = (2 / 7) * (1 / 3) = (2 * 1) / (7 * 3) = 2 / 21 = 0.0952380952.

Hope this helps!

Write 3 as 3/1

Now you have 2/7 / 3/1.

When you divide by a fraction change the divide to multiply and flip the second fraction over

Now you have 2/7 x 1/3 now multiply top by top and bottom by bottom to get

2/21

Answer:

down 8 units

Step-by-step explanation:

going from +6 to -2 goes down 8 units

Answer:

Step-by-step explanation:

f(x) + n - shift the graph n units up

f(x) - n - shift the graph n units down

f(x + n) - shift the graph n units to the left

f(x - n) - shift the graph n units to the right

==============================================

We have y = 3/7x + 6. It has been changed to y = 3/7x - 2.

y = 3/7x + 6 → f(x) = 3/7x + 6

f(x) - 8 = (3/7x + 6) - 8 = 3/7x + 6 - 8 = 3/7x - 2

Answer:

13

Step-by-step explanation:

Put -1 and 12 in the absolute value form and add them together. You'll get 13.

Number of  units separate the points is 13 units.

Given that;

Coordinate of first point = (5 , -1)

Coordinate of second point = (5 , 12)

Find:

Number of  units separate the points

Computation:

Number of  units separate the points = √(x1 - x2)² + (y1 - y2)²

Number of  units separate the points = √(5 - 5)² + (-1 - 12)²

Number of  units separate the points = √(-13)²

Number of  units separate the points = 13 units

Find out more information about 'Coordinate'.

https://brainly.com/question/4399730?referrer=searchResults

Answer:

The capacity of the water bottle is 2.5 times greater than the mug.

Step-by-step explanation:

We know that the capacity of a water bottle and a mug is 7/8 litre:

[tex]bottle+mug=\frac{7}{8}[/tex]

But we also now that the mug's capacity is 1/4 litre, so the equation above becomes:

[tex]bottle + \frac{1}{4}=\frac{7}{8}[/tex]

Now we want to know how much greater the capacity of the bottle than the mug is. To do this we need to know first what's the capacity of the bottle.

So, we would have:

[tex]bottle=\frac{7}{8}-\frac{1}{4} \\\\bottle=\frac{7}{8}-\frac{2}{8}\\\\\\bottle=\frac{5}{8}[/tex]

Therefore the bottle has a capacity of 5/8 liter while the mug has a 2/8 liter one.

To know how much greater is the capacity of the water bottle than the mug we need to divide these two quantities, so we have:

[tex]\frac{5}{8}[/tex]÷[tex]\frac{2}{8}[/tex][tex]=\frac{5}{8}[/tex]×[tex]\frac{8}{2}[/tex][tex]=\frac{5}{2}=2.5[/tex]

Therefore the capacity of the water bottle is 2.5 times greater than the mug.

Answer:

The angle is determined by dividing 360 by the number of vertexes that it took to complete the circle. The tangent of the 100th triangle would be the same respectively.

Step-by-step explanation:

I remember learning this in kindergarten.

Answer:

190.684

Step-by-step explanation:

To find the square root of 36360, we place a bar over the numbers that we want to find their square root in pairs

    ,    1       [tex]\dot{3}[/tex] [tex]\overline{63}[/tex]  [tex]\overline{60}[/tex]

       , 1       1

2,       9      2  [tex]\overline{63}[/tex]

         9      261  

38,      0            2 60

          0            0

         .    

380,    6            26000

        ,  6           22800

3806,  8          320000

         ,  8          304480

38068, 4       1552000

           ,4

Which gives 190.684

3             63 60

We select the divisor to be the largest number which when squares will be equal to the largest number on the left which is 1

We have 1 * 1 = 1

We subtract it from the 3 to get 2

We add the 1's to get 2

We bring down the next pair which is 63 to form the next dividend, 263

We look for a number which will multiply itself to get 263, which is 9, we then have 29 × 9 = 261

We continue till we arrive at the vertical paired numbers which is 190.684.

Answer:

The value of x is 35

Step-by-step explanation:

In order to calculate the value of x in the  following parallelogram:  2x - 10  

2x + 50, we would have to calculate the following formula:

m<QPS+m<PQR=180°

According to the given data we have the following:

m<QPS=2x - 10  

m<PQR=2x + 50

Therefore, 2x - 10+2x + 50=180

4x+40=180

x=140/4

x=35

Answer:

125

Step-by-step explanation:

So you can see that the sequence is all of the perfect cubes so knowing that the next perfect cube we have to find is 5's perfect cube which is 125.

Answer:

192

Step-by-step explanation:

Answer: x = -2 , y = 3

Step-by-step explanation:

4x-y=-11

2x+3y=5

Solve 4x-y=-11 for y

Add -4x to both sides

4x-y+-4x=-11+-4x

-y=-4x-11

Divide both sides by -1

-y/-1=-4x-11/-1

y=4x+11

Substitute 4x+11 for y in 2x +3y=5

2x+3y=5

2x+3(4x+11)=5

Simplify both sides of the equation

14x+33=5

Add -33 to both sides

14x+33+-33=5+-33

14x=-28

Divide both sides by 14

14x/14=-28/14

x=-2

Substitute -2 for x in y= 4x+11

y=4x+11

y=(4)(-2)+11

Simplify both sides of the equation

y=3

Answer:

a. 5p+3

b. 26p + 6

Step-by-step explanation:

a.

Area = length × width

40p² + 24p = length × 8p

Factorise out 8p from both sides

8p(5p + 3) = length × 8p

Divide both sides by 8p

5p + 3 = length

b.

Perimeter = 2(length + width)

"" = 2(5p+3 + 8p)

"" = 2(13p + 3)

"" = 26p + 6

Answer:

Step-by-step explanation:

Given the expressions f(x) =  |x| + 9 and g(x) = –6, sine f(x) contains the absolute value of a variable x, this absolute value can be negative and positive. Therefore f(x) can be expressed in two forms as shown;

f(x) = x+9 and f(x) = -x+9

If f(x) = x+ 9 and g(x) =  -6

(f + g)(x) = f(x)+ g(x)

(f + g)(x) = x+9+(-6)

(f + g)(x) = x+9-6

(f + g)(x) = x+3

Similarly, if f(x) = -x+ 9 and g(x) =  -6

(f + g)(x) = f(x)+ g(x)

(f + g)(x) = -x+9+(-6)

(f + g)(x) = -x+9-6

(f + g)(x) = -x+3

(f + g)(x) = 3-x

In  both expresson, we have bith x to be positive and negative, hence we can write the value of resulting x as an absolute value as shown;

(f + g)(x) = |x|+3

This shows that (f + g)(x)≥3 for all values of x

Answer:

the answer is B

Step-by-step explanation:

In terms of symbols, we would write [tex]x > 0[/tex]

The natural log function, or any log function, is not defined for x = 0 or any negative x value.

Consider the form [tex]\log_b(y) = x[/tex] which is equivalent to [tex]y = b^x[/tex] and notice how the y value slowly approaches zero but never actually gets there. That is one way to see why the inputs of any log function must be larger than 0.

Answer:

X Intercept (-2,0), (-3,0) and Standard form y = -4x^2 - 20x - 24

Step-by-step explanation:

To write a polynomial in standard form, simplify, and then arrange the terms in descending order.

y = ax^2 + bx + c

y = (−4x−8) (x+3)

Expand (−4x−8) (x+3) using the FOIL Method

y = −4x ⋅ x − 4x ⋅ 3 − 8x−8 ⋅ 3

Simplify and combine like terms.

y = −4x^2 − 20x − 24

Hope this can help

Answer:

Step-by-step explanation:

By Pythagoras theorem,

[tex] {db}^{2} = {ad}^{2} + {ab}^{2} [/tex]

[tex] {db}^{2} = {(4)}^{2} + {(9)}^{2} [/tex]

[tex] {db}^{2} = 16 + 81[/tex]

[tex] {db}^{2} = 97[/tex]

[tex] {db}^{2} = \sqrt{97} [/tex]

[tex] {db}^{2} = 9.8 \: cm[/tex]

Hence, the length of diagonal of a given rectangle is 9.8 cm

Hope this helps...

Good luck on your assignment...

Answer:

Hello There!

`~~~~~~~~~~~~~~~~~~~~~`

9.85cm

Step-by-step explanation: You can use the Pythagoras' formula to solve for the length of the diagonal:

[tex]a = 9cm \\b = 4cm\\\\d^2 = a^2 + b^2\\\\d^2 = 9^2 + 4^2\\\\d^2 = 81 + 16 = 97\\\\d= \sqrt{97} = 9.85cm[/tex]  

So the answer would be 9.85cm. Hope this helped you. Brainliest would be nice!

Answer:

A

Step-by-step explanation:

Answer:

Hey there!

The two lines in this graph are: y=-1/5x+2, and y=3x-2

Since y=-1/5x+2 is a dotted line, we know that we use the < or > symbols.

Since y=3x-2 is a straight line, we use the ≤ and ≥ symbols.

Thus, for area z, we have y<-1/5x+2, and y≥3x-2

Hope this helps :)