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Answer:

The correct answer is,

[tex] {x}^{2} + 14x - \frac{45}{ {x}^{2} } + 9[/tex]

Answer:

x= 7.41 (3 s.f.)

y= 9.53 (3 s.f.)

∠B= 51°

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

6√24 or 29.39metres

Step-by-step explanation:

Area of a triangle is bh/2

The perimeter of an equilateral triangle is 3b

This equilateral triangle can be imagined as two adjoining 30-60-90 triangles. Together, their area is the given 24√3 m²

The base of the individual triangle is √24. The height is √24√3. Multiplying those factors, we get the given area, a proof of sorts, but mure importantly, we can calculate the length of the hypotenuse as 2√24.

sin(30°) = 0.5

√24/(0.5) = 2√24

That is the length of the side of the original equilateral triangle.

The perimeter is 3 times the length of the side:

(3)(2√24) = P

6√24 meters is the perimeter.

(a) For some given x, A(x) gives the signed area under f(t) on the interval [a, x]. Since f(t) is simple to integrate, and with a = 2, you can compute it exactly:

A(x) = ∫₂ˣ f(t) dt

A(x) = ∫₂ˣ (3t + 2) dt

A(x) = (3/2 t ² + 2t ) |₂ˣ

A(x) = 3/2 x ² + 2x - 10

which is parabolic and easy to graph.

(b) Differentiating A(x) is also easy if you use the "closed" form above:

A'(x) = (3/2 x ² + 2x - 10)'

A'(x) = 3x + 2

and this function tells you how the area under f(t) changes as you adjust the size of the integration interval.

You can get the same result using the fundamental theorem of calculus:

A'(x) = d/dx ∫₂ˣ f(t) dt = f(x) = 3x + 2

Answer: C) 1/7

Step-by-step explanation:

Find the Slope

(−7, 0) , (0, 1)

Slope is equal to the change in y over the change in x, or rise over run.

           change in y

    m =  _________

           change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y

is equal to the difference in y-coordinates (also called rise).

            [tex]y_2 -y_1[/tex]

    m = ______

           [tex]x_2 - x_1[/tex]

Substitute in the values of x and y into the equation to find the slope.

            1 − (0)

    m =  ______

            0 − (−7)

Simplify the numerator.

                1

    m =  ______

            0 − (−7)

Simplify the denominator.

Multiply −1 by −7.

                1

    m =  _____

             0 + 7

Add 0 and 7.

             1        

    m = ___

             7

Answer:

1.9059 x 10 -12

Step-by-step explanation:

Answer:

i think its 63

Answer:

9

Step-by-step explanation:

done in other question of yours

Answer:

[tex]\displaystyle no[/tex]

Step-by-step explanation:

The triangle on the right is bigger than the triangle on the left.

I am joyous to assist you at any time.

Answer:

1.8181818181818181 etc., which rounds to 1.82

Step-by-step explanation:

1.65/3 = 1/x

3/1.65

We get 1.80 pounds of flour for 1 dollar.

Unitary method is a mathematical technique for first deriving the value of a single unit then deriving any given unit from it.

Suppose we know one mango costs 4 dollars so 20 mangoes will cost (4×20) dollars = 80 dollars.

According to the given question three pounds of flour cost 1.65 dollars.

So, One pound of flour will cost (1.65/3) dollars which is

= 0.55 dollars.

In 1 dollar we will get (1/0.55) pounds of flour which is

= 1.81 pounds.

Rounding 1.81 to nearest hundredth will be 1.80 as the rightmost digits is than 5.

learn more about unitary method here :

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Answer:

y=3x-2

Step-by-step explanation:

all you need to do is divide the coordinates of the x intercept and y intercept  by two

Answer:

the answer is $120

Step-by-step explanation:

because I multiply 15 x 8 = 120 so the hourly worker will have $120 from an eight hour shift or else you can use a calculator too

The required wage for the eight-hour shift is $120.

An hourly worker whose wage is $15 per hour will be paid. How much for an eight-hour shift to be determined.

In mathematics, it deals with numbers of operations according to the statements.

Here,
$15 wage =  1 hour
Multiply both sides by 8
$15*8 = 1*8 hour
$120 = 8 hour

Thus, the required wage for the eight-hour shift is $120.

Learn more about arithmetic here:
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Answer:

41.4 im pretty sure

Step-by-step explanation:

Answer:

Z=25

Step-by-step explanation:

Angle C and D are Supplementary so

3z-15+7z-55=180

10z-70=180

10z=250

z=25

Answer:

y > 1/3 x -3

Step-by-step explanation:

slope = 1/3

y intercept = -3

equation: y > 1/3 x -3

Answer:

c = 20

Step-by-step explanation:

Given that,

A rectangle PQRS,

QT = c and ST = 4c-60

We need to find the value of c.

We know that the diagonals of a rectangle bisect each other such that,

QT = ST

Putting values,

c = 4c - 60

Taking like terms together,

60 = 4c - c

60 = 3c

c = 20

Hence, the value of c is 20.

Answer:

50

Step-by-step explanation:

400/8 =50

Answer:

48

Step-by-step explanation:

Count by 6

Answer:

Option D

Step-by-step explanation:

From the picture attached,

Coordinates of point C → (1, 3)

Coordinates of point C'→ (-1, -3)

Option A.

rotation 180° counterclockwise about the origin.

Rule for the rotation is,

(x, y) → (-x, -y)

By this rule,

C(1, 3) → C'(-1, -3)

True

Option (B)

Reflection across the origin

Rule for the reflection is,

(x, y) → (-x, -y)

By this rule,

C(1, 3) → C'(-1, -3)

True

Option C

Rotation 180° clockwise about the origin

Rule for the rotation is,

(x, y) → (-x, -y)

By this rule,

C(1, 3) → C'(-1, -3)

True.

Option D

Reflection across the line y = -x

Rule for the reflection,

(x, y) → (-y, -x)

By this rule,

C(1, 3) → C'(-3, -1)

False.

Therefore, Option D will be the answer.

Answer:

5 35/36

Step-by-step explanation:

add the whole number: 3+2= 5

add the fractions: 5/12 = 5/9= 35/36

add the whole number and fraction

5 35/36 so x= 5 35/36

Answer:

2x^2 + 10x + 30 + 95/x-3

Step-by-step explanation:

Hope this helps!

Answer:

$5.00

Step-by-step explanation:

All we have to do is multiply 25 x 1/5 or 20%

25 x 1/5 = $5.00

to check, $5 x 5 = 25

Answer:2 per hour

Step-by-step explanation:16 divided by 8 equals 2 making it 2 per hour

Answer:

A florist can create 2 bouquets of flowers per hour

Step-by-step explanation:

16/8 = 2