Please help ASAP !!!

Answer:

The derivative is

[tex]\frac{dy}{dx} = 2 - \frac{2\sqrt3}{\sqrt x}\\[/tex]

Step-by-step explanation:

The function is given by

[tex]y = 2x - 1 - \sqrt {3x}[/tex]

Differentiate with respect to x, we get

[tex]\frac{dy}{dx} = 2 - 0 - \frac{2\sqrt3}{\sqrt x}\\\\\frac{dy}{dx} = 2 - \frac{2\sqrt3}{\sqrt x}\\[/tex]

Answer:

[tex]b(a) =\frac{a}{7} -5[/tex]

Step-by-step explanation:

Given

[tex]A(b) = 14 * \frac{b + 5}{2}[/tex]

Required

Determine the inverse function b(a)

Write A(b) as a

[tex]a = 14 * \frac{b + 5}{2}[/tex]

Swap a and b

[tex]b = 14 * \frac{a + 5}{2}[/tex]

[tex]b = 7(a + 5)[/tex]

Divide both sides by 7

[tex]a + 5 = \frac{b}{7}[/tex]

Maka a the subject

[tex]a =\frac{b}{7} -5[/tex]

Swap a and b again

[tex]b =\frac{a}{7} -5[/tex]

Hence:

[tex]b(a) =\frac{a}{7} -5[/tex]

first ,length(l)=14 feet,

bredth(b)=6feet.

now, perimeter = 2(l+b)

=2(14+6)

= 2×20

= 40 feeet

Hope this helps you....

Answer:

The coordinates of the vertex is (6,4).

Step-by-step explanation:

The vertex is the highest or lowest point on the parabola (curved line).

Answer:

4

Step-by-step explanation:

5x²+8x²- 4x⁴+x

The degree is the highest power

The highest power is 4

The degree is 4

Answer:

in picture

Step-by-step explanation:

Brainliest please~

Answer:

if you divide 1000, 100 and 10 in 16000 , 1900 and 81500 then the value of 6 and 9 is at once place and value of 8 is at thousand place

Answer:

6, 9 & 8150

Step-by-step explanation:

16,000 ÷ 1000 is 6

1900÷100 is 9

81,500÷10 is 8150

Answer:

x = 98°

Step-by-step explanation:

95 + 53 + (180 - x) = 180

148 + 180 - x = 180

328 - x = 180

328 - x + x = 180 + x

x + 180 = 328

x + 180 - 180 = 328 - 180

x = 98°

The required measure of the remote exterior angle x is 98°.

Given that,

A triangle has shown,
Where two remote interior angles with measures 45° and 53° are given and a remote exterior angle with measure x is given, we have to determine the value of x.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

The orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
There is a property of a triangle that, the sum of the remote interior angle is equal to the measure of the remote exterior angle. So,
x = 53 + 45
x = 98°

Thus, the required measure of the remote exterior angle x is 98°.

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Answer:

29%

Step-by-step explanation:

From the two way table given : the relative frequency of boys among those who cannot bike to school ;

Here, we are only concerned with thilose who cannot Bikento school and not all of the data :

The relative frequency of boys among those who cannot bike to school is :

Number of boys who can't bike to school / total number of people who can't bike to school

Number of boys who can't bike = 4

Total who cannot bike = 14

Hence, 4 /14 = 0.2857142

0.2857142 * 100% = 28.57% = 29% (nearest percent)

Answer:

C

Step-by-step explanation:

8x + 2 = 7x + 8

<=> 8x - 7x = -2 + 8

<=> x = 6

Answer:

Step-by-step explanation:

Here,

8x + 2 = 7x +8 [Since Alternate interior angle]

=> 8x - 7x = 8 - 2

=> x = 6 (Ans) (Option C)

Answer:

45

Step-by-step explanation:

8-12(-3.5)-5

8+42-5

=45

Answer:

Step-by-step explanation:

If p = t + v and t is 5/2 and p is 0, then

0 = 5/2 + v and

v = -5/2

Area of triangle = 1/2 bh

60 = 1/2 (15) h

8 = h

Quadrilateral area = h x (b1 + b2)/2 = 8 x (15+9)/2 = 96 sq units

96 -60 = triangle BAD area = 36 sq units

The length of side BC in the triangle BCD is 8.

An area is the amount of space occupied by a two dimensional shape or figure.

From the diagram:

Area of triangle BCD = (1/2) * base * height = (1/2) * CD * BC

60 = (1/2) * 15 * BC

BC = 8

The length of side BC in the triangle BCD is 8.

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Answer:

[tex](a)\ \sqrt5 <2.3 < 5.6[/tex]

[tex](b)\ \sqrt 5 <2.4 < 5.6[/tex]

[tex](e)\ \sqrt 8 <2.9[/tex]

[tex](f)\ \sqrt5 <4.5 < 5[/tex]

Step-by-step explanation:

Required

Which are true

[tex](a)\ \sqrt5 <2.3 < 5.6[/tex]

Take square root of 5

[tex]2.2 <2.3 < 56[/tex] --- This is true

[tex](b)\ \sqrt 5 <2.4 < 5.6[/tex]

Take square root of 5

[tex]2.2 <2.4 < 56[/tex]  --- This is true

[tex](c)\ 7.4 < 5 <5.5[/tex]

This is false because [tex]7.4 > 5[/tex]

[tex](d)\ \sqrt 3 <3 <3[/tex]

This is false because [tex]3 = 3[/tex] not [tex]3 < 3[/tex]

[tex](e)\ \sqrt 8 <2.9[/tex]

Take square root of 8

[tex]2.8 <2.9[/tex] --- This is true

[tex](f)\ \sqrt5 <4.5 < 5[/tex]

Take square root of 5

[tex]2.2 <4.5 < 5[/tex] --- This is true

Answer:

ss

Step-by-step explanation:

sas

The radius of the circle who center is at ( 5 , 2 ) and the point on the circle is ( -3 , 4 ) is given by r = 2√17 units

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the radius of the circle be r

Let the center of the circle be A ( 5 , 2 )

Let the point on the circle be P ( -3 , 4 )

Now , standard form of a circle is

( x - h )² + ( y - k )² = r²

So , r² = ( 5 - ( -3 ) )² + ( 2 - 4 )²

On simplifying the equation , we get

r² = ( 8 )² + ( 2 )²

r² = 64 + 4

r² = 68

Taking square roots on both sides , we get

r = √68

r = 2√17

Hence , the radius of the circle is 2√17 units

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Answer:

x = 135

Step-by-step explanation:

The angles are vertical angles and vertical angles are equal

125 = x-10

Add 10 to each side

125+10 = x

135 =x

Answer: hi

Step-by-step explanation: siodrifjojseidufjsoidhfidshiufhoiersdnfiojdriofjoiedsjfpoiejdpoigheroiuhgoiutrhfbiukghvioruefdhgbiuktrhdfiougkhneoiuwhsrdtifu[tex]\lim_{n \to \infty} a_n \geq \alpha \leq \sqrt{x} \\ \pi \geq \lim_{n \to \infty} a_n \left \{ {{y=2} \atop {x=2}} \right. x^{2} \frac{x}{y} \frac{x}{y}[/tex]

Answer:

oh no

Step-by-step explanation:

Answer:

Conservation

Step-by-step explanation:

Conservation is the principle that an object maintains the same size and shape even if it is repositioned or divided in certain ways.

Answer:

24 rolls

Step-by-step explanation:

12 rolls           x rolls

------------  = ------------------

4 dollars           8 dollars

Using cross products

12*8 = 4x

96 = 4x

Divide by 4

96/4 = 4x/4

24 =x

24 rolls

Answer:

Multiply the numerator by the numerator and the denominator by the demoninator.

Step-by-step explanation:

Answer:

Nope, to multiply two fractions = numerator × numerator / denominator × denominator

Step-by-step explanation:

For Example:

[tex]\frac{5}{3}[/tex] × [tex]\frac{8}{2}[/tex]

Multiply 5 by 8

40

Multiply 3 by 2

6

Result: [tex]\frac{40}{6}[/tex]

Finally Simplify

[tex]\frac{40}{6} =[/tex] [tex]40[/tex] ÷ 6 = [tex]6\frac{4}{6}[/tex] or 6.6 as a decimal

Answer:

3/8

Step-by-step explanation:

Let us represent the total fabric as an integer = 1

Ellen divides a piece of fabric into 8 equal sections by drawing chalk lines.

= 1/8, hence each section = 1/8

Then she cuts off 5 of the sections to make into placemats.

This is written as: 5 sections × 1/8 = 5/8

The fraction of the fabric that is left is calculated as:

1 - 5/8

Lowest Common Denominator = 8

Hence: 8 - 5/8 = 3/8

The fraction of the fabric that is left is 3/8

Answer:

Use SOHCAHTOA

Step-by-step explanation:

If you don't know what this is, it means Sin=opposite/hypotenuse, cos=adjacent/hypotenuse, tan=opposite/adjacent. There is more than 1 way to solve this, but here's how I did it.

Starting with part A, we are trying to find the hypotenuse of the triangle. We have an angle and the side opposite of that angle, so we can use the sin function.

Sin(54) = 12.2 / hypotenuse

Sin(54) * hypotenuse = 12.2

Hypotenuse = 12.2 / sin(54) = 15.1

Now for Part B

Finding the last angle

180-90-54=36

So now, we have this angle and the side adjacent to it. We are trying to find the opposite side, so let's use the tan function

Tan(36) = opp / 12.2

opp = tan(36) * 12.2 = 8.9

You can double check these answers using pythagorean theorem. Hope this helps

Answer:

Step-by-step explanation:

cos(c)= x/ac

ac = cos32/9.4

ac =11.08

Answer:

Step-by-step explanation:

sin(58/9.4 = sin(90)/AC

AC= 11.08

Answer:

[tex](5x - 1)(3x - 1)(x + 2)[/tex]

Step-by-step explanation:

[tex](15 {x}^{3} + 22 {x}^{2} - 15x + 2)[/tex]

Apply Rational Root Theorem, our possible roots will be

plus or minus( 2/15, 2/5,2/3,2, 1/15,1/5,1/3,1).

I

I tried root -2 and it work so

If we apply synthetic dividon, we would be left with

[tex]15 {x}^{2} - 8x + 1[/tex]

We can factor this regularly.

Apply AC method that a number

AC will multiply to 15 but add to -8.

The answer are -5 and -3 so we write this as

[tex]15 {x}^{2} - 5x - 3x + 1[/tex]

Factor by grouping

[tex](15x {}^{2} - 5x) - (3x + 1)[/tex]

[tex]5x(3x - 1) - 1(3x - 1)[/tex]

So our factor are

[tex](5x - 1)(3x - 1)(x + 2)[/tex]

Answer:

32x^2+4x

3x-7, g(x)=2x^(2)-3x+1, h(x)=4x+1, k(x)

Answer:

Step-by-step explanation:

9). Dimensions of the logo = 4 inch by 6 inch

   ∵ 12 inches = 1 feet

    ∴ 1 inch = [tex]\frac{1}{12}[/tex] feet

   Therefore, dimensions of the logo (in feet) will be,

   [tex]\frac{4}{12}[/tex] feet by [tex]\frac{6}{12}[/tex] feet  Or [tex]\frac{1}{3}[/tex] feet by [tex]\frac{1}{2}[/tex] feet

   Dimensions of the logo which are 6 times larger than the original one.

    Dimensions of the advertisement = [tex]\frac{6}{3}[/tex] feet by [tex]\frac{6}{2}[/tex] feet

                                                            = 2 feet by 3 feet

    Area of the advertisement = 2 × 3

                                                = 6 feet²

10). By the property of similar polygons,

     "Corresponding sides of two similar polygons are proportional"

     If the dimensions of two similar polygons are 'x' and 'kx'

     Ratio of the perimeter of two polygons = [tex]\frac{\text{Perimeter of the image polygon}}{\text{Perimeter of the original polygon}}[/tex] = k

     Ratio of area of two similar polygons = [tex]\frac{\text{Area of the image polygon}}{\text{Area of the original polygon}}[/tex] = k²

     Ratio of volumes of two similar polygons = [tex]\frac{\text{Volume of the image polygon}}{\text{Volume of the original polygon}}[/tex] = k³

Answer:

x = 3/4

Step-by-step explanation:

5/2-3x-5+4x=-7/4

Combine  like terms

-10/2 + 5/2 +x = -7/4

-5/2+ x = -7/4

Add 5/2 to each side

-5/2+5/2 +x = -7/4 + 5/2

x = -7/4+5/2

Get a common denominator

x = -7/4 + 10/4

x = 3/4

Scale factor from figure a to figure b = DIVIDE BY 3

{Check:- 33/3 = 11 & 15/3 = 5}

hope this helps :)

Answer:

1/3

Step-by-step explanation:

These two quadrilaterals are similar because figure A's sides are 3 times figure B's sides. Figure A's bottom is 15, while figure B's bottom is 5. To get from 15 to 5, we multiply by 1/3. This is the scale factor. All the other sides of figure A are also 3 times bigger than figure B's.

Answer:

C

Step-by-step explanation:

11 times 11 = 121

11 times 12 equals 132

11 times 13 = 143

Answer:

13

Step-by-step explanation:

11x13 is 143 heidnehf

The angles represented by (2x - 60) and (60 - 2x) cannot be supplementary because their sum add up to zero instead of 180°.