Complete the steps to find the value of x

Answer:

Step-by-step explanation:

is it

-f(x)=9x+5 or positive?

9(8)+5=72+5

f(8)=77

9(-10)+5=-90+5

f(-10)=-85

9(0)+5=5

f(0)=5

think of f(x) is y instead and whatever is in the parenthesis just plug into the equation for x

Answer: 2500

Step-by-step explanation: 5x10 = 50. 50x50 = 2500

Answer:

2500

Step-by-step explanation:

Rate of change of x with respect to [tex]\alpha[/tex] when [tex]\alpha =\frac{\pi }{3}[/tex] is 5ft/s.

Since the ladder is 10ft long resting against a vertical wall.

Let the angle between the top of the ladder and the wall is [tex]\alpha[/tex] .

And let the distance from the bottom of the ladder to the wall is x.

Thus we need to find the rate of change of x with respect to [tex]\alpha[/tex]  when [tex]\alpha =\frac{\pi }{3}[/tex]

Consider L to be the length of the ladder.

Then, L = 10ft

Thus, we get the relation between the angle and distance x i.e.

x = L [tex]\sin \alpha[/tex]

On differentiating the above equation,

[tex]\frac{dx}{dt} =L \cos \alpha[/tex]

Now after putting the values [tex]\alpha =\frac{\pi }{3}[/tex] in above equation, we get,

[tex]=(10)\cos(\frac{\pi }{3} )=(10)(\frac{1}{2} )=5[/tex]

Therefore, [tex]\frac{dx}{dt} =5[/tex] ft/s

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The total number of files after 16 days using the function P(t) = 3t² + 5t + 8 is 856.

A relationship between a group of inputs having different outputs is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output.

The function P(t) represents the population of a collection of fruit flies at a particular time in days.

P(t) is the number of flies and t is the time in days.

Now, consider the function:

P(t) = 3t² + 5t + 8

Therefore, the number of flies after 16 days will be:

When t = 16,

P(t) = 3t² + 5t + 8

P(16) = 3(16)² + 5(16) + 8

P(16) = 3 × 16 × 16 + 5 × 16 + 8

P(16) = 768 + 80 + 8

P(16) = 856

Hence, the number of flies after 16 days will be 856 flies using the function P(t).

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Answer:

10

Step-by-step explanation:

Right angles add up to 90

5x + 4x = 90

9x = 90  Divide both sides by 9

x = 10

The binomials  5x-2yz are a factor of this expression

25x^2-4y^2z^2

This is further explained below.

Generally, A binomial is a kind of polynomial that is used in algebra and is defined as the sum of two terms, each of which is a monomial.

After monomials, this is the sort of sparse polynomial that is the easiest to understand.

The word "binomial" refers to an algebraic expression that consists of just two different terms. This is a polynomial with two terms.

25 x^2-4 y^2 z^2

Rewrite 25 x^2 as (5 x)^2.

(5 x)^2-4 y^2 z^2

Rewrite 4 y^2 z^2 as (2 y z)^2.

(5 x)^2-(2 y z)^2

Since both terms are perfect squares, factor using the difference of squares formula, a^2-b^2=(a+b)(a-b) where a=5 x and b=2 y z.

(5 x+2 y z)(5 x-(2 y z))

Simplify.

(5 x+2 y z)(5 x-2 y z)

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The equation that represents the total amount of money Papi's made selling pizzas on Saturday is (39 x $9.99) + (62 x $11.99) + (83 x $13.99)

Equation:

An equation is the mathematical statement which is made up of two expressions connected by an equal sign.

For example, 3x – 2 = 16 is an equation.

Given,

There are three types of pizza varieties are small, medium and large. And the price of them are $9.99, $11.99 and $13.99 respectively.

On Saturday, Papi's sold 39 small pizzas, 62 medium pizzas, and 83 large pizzas.

So, we have to write the equation for the total amount of money Papi's made selling pizzas on Saturday.

To calculate the price of the pizza we have to multiply it by the number of items sold by the cost.

So, the equation to calculate the cost of pizza,

=> number of items sold x cost.

Here we have to write the equation for three types and we have to find the total cost for it,

So, the equation is looks like,

=> (39 x $9.99) + (62 x $11.99) + (83 x $13.99)

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Answer:

16.  36.67

17.  40

Step-by-step explanation:

See attached worksheet

The value of the expression ab²  is  12x where a = -3x and b = -2i

From the question, the values of the variables are given as

a = -3x and b = -2i

The expression to calculate is then calculated as

ab²

Substitute the known values in the above equation

So, we have the following equation

ab²  = (-3x) * (-2i)²

Evaluate the exponent

So, we have the following equation

ab²  = (-3x) * -4

Evaluate the product

So, we have the following equation

ab²  = 12x

Hence, the solution to the expression is  12x

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Step-by-step explanation:

you don't a type your question. so if it correct i will be happy to help you

Answer:

if you can't read my pic the answer is: p+r-s=q

Step-by-step explanation:

The equation of the line is given as y = 1

In the given question, we are to find the equation of the line that is parallel to the given equation. For y = 4, the slope of the equation is equal to 0 or does not exist.

Using point-slope formula y - y₁ = m(x- x₁)

The points passing through the line is (-3, 1)

We can substitute the values into the equation;

y - 1 = 0(x - (-3)

y = 0 + 1

y = 1

The equation of the line passing parallel to the equation is y = 1

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The volume of the given rectangular prism is V = 5x⁵ + 4x⁴ + x³ cubic units.

What is the volume of the rectangular prism?
Four rectangular faces and two parallel rectangular bases make up a rectangular prism. We are aware that a rectangular prism's cross section is a rectangle. The term "Cuboid" is another name for the rectangular prism.
Therefore, the following formula is provided to determine a rectangular prism's volume: Volume = l*b*h cubic units.

Given, the length of the rectangular prism = l = x
Also, the width of the rectangular prism = w = x²
Again, the height of the rectangular prism = h = 5x² + 4x + 1
Volume of the rectangular prism = l*w*h = x*(x²)*(5x² + 4x + 1)
= x³(5x² + 4x + 1) = 5x⁵ + 4x⁴ + x³
Thus, the volume of the given rectangular prism is V = 5x⁵ + 4x⁴ + x³ cubic units.

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Answer:

Below in bold.

Step-by-step explanation:

s(t) = -16t² - 12t + 300

v(t) = ds/ dt = -32t - 12

At time t:

velocity = -32(4) - 12 = -140 ft/s.

The third option is the correct method that solves for the variable r in the equation

Given the equation: 3/8r+ 2 = 14

Subtract 2 from both sides:

3/8r = 12

Multiply both sides by 8:

3r = 12 x 8

3r = 96

Divide both sides by 3:

r = 96/3 = 32

Therefore, the method that solve the variable r in the equation correctly is the third option.

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Check below, please

1) The way to tackle this problem, is by dividing those numerators by the denominators so we can get the decimal form of each fraction, and count the marks to plot them.

2) Let's divide them:

So now, we can plot them:

Thus, this the answer.

A parabola with focus of (-5, -1) and a directrix of y=7 has the equation of the parabola as: (x + 5)² =  8 (y - 3)

Quadratic equation = parabolic equation, when the directrix is at y direction is of the form:

(x - h)² =  4P (y - k)

OR

standard vertex form, y = a(x - h)² + k     where a = 1/4p

The focus

F (h, k + p) = (-5,-1)

h = -5

k + p = -1

P in this problem, is the midpoint between the focus and the directrix

P = (-1 - 7) / 2 = -4

p = -4

the vertex

v(h, k)

h = -5

k + p = -1, k = 3

v(h, k) = v(-5, 3)

substitution of the values into the equation gives

(x - h)² =  4P (y - k)

(x - -5)² =  4 * 2 (y - 3)

(x + 5)² =  8 (y - 3)

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The required correct answer is,

The area under P2 is 1, the area under P1 depends on the standard deviation of the dataset

i.e., Option d. is correct.

What is density curve ?

A density curve is a curve that illustrates the general shape of a data distribution. It is always above the x-axis; the area beneath it is always equal to one whole; the area beneath shows the percentage of all observations that fall in a given range. It is statistically easier to deal with a smooth curve than a histogram.

The bell-shaped density curve, which symbolizes the normal distribution, is the most well-known.

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The equation of the line is y = x - 8 which passes through the point  (13,5) with slope 1.

We have to determine the equation of a line that passes through the point (13,5) with slope 1.

The slope of a line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Let the required line would be as

⇒ y - y₁ = m (x - x₁ )

The required line passes through the point (13, 5)

Here x₁ = 13 and y₁ = 5 and m = 1

Substituting these inputs into the above equation obtains the line equation.

⇒ y - 5 = (1)(x - 13)

⇒ y - 5 = (x - 13)

⇒ y = x - 13 + 5

⇒ y = x - 8

Thus, the equation of the line is y = x - 8 which passes through the point (13,5) with slope 1.

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Step-by-step explanation:

Write 98 as the product of prime factors. Write the prime factors in ascending order.​

2 × 7 × 7

2 × 7 × 7 = 98

Answer: 2×7×7

Step-by-step explanation: 98= 2×7×7

Lets first know about what is prime factor :- A factor which is a Prime number and not a composite number.

prime factor in ascending order = 2,7

hence the required product of prime factor is 2×7×7 or 2×[tex]7^{2}[/tex]

Answer: -2 1/2 or -2.5

Step-by-step explanation:

Yes, it can be simplified.

-5/2 can be simplified to -2 1/2 which can be as a decimal as -2.5

The angle does a 3.8 meter ladder make with the ground if it reaches 2.1 meter up the wall is 33.54 degrees and the distance between the foot of the ladder and the wall is 3.16 meters

The length of the ladder = 3.8 meter

The length of wall = 2.1 meter

Draw the figure using the measurements

We have to use the trigonometric function

The angle that a ladder make with the ground

sin θ = Opposite side / Hypotenuse

sin θ = 2.1/3.8

θ = 33.54 degrees

The distance from the foot of the ladder from the wall

cos θ = Adjacent side / Hypotenuse

cos 33.54 = Adjacent side / 3.8

Adjacent side = 3.8 × cos 33.54

= 3.16 meters

Hence, the angle does a 3.8 meter ladder make with the ground if it reaches 2.1 meter up the wall is 33.54 degrees and the distance between the foot of the ladder and the wall is 3.16 meters

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Answer:

60

Step-by-step explanation:

10 x 6 < w

60 < w

that answers it

Answer: Multiply to remove the fraction, then set equal to

0

and solve.

Inequality Form:

w

>

60

Interval Notation:

(

60

,

∞

)

[tex]23 + 2 < y \\ y > 25[/tex]

ATTACHED IS THE SOLUTION Mind you I swap the positions of the term so that y can be on the left hand side.

Goodluck!!

Answer:

25 < y

Step-by-step explanation:

23 + 2 < y

25 < y

that's as much as it goes

The student needs a minimum score of 956 to stay in the top 15% of the normal distribution.

Normal distributions are fundamental to statistics because they are widely used in the social and natural sciences to represent real-valued regressors with uncertain distributions.

Now top 15%

Therefore P=0.15

P(X<x) = 1 -0.15 = 0.85

Z-score = 1.04

Now we know that

z=(x-μ)/σ

Solving we get :

1.04 = (x - 800)/150

or, x = 956

hence the minimum score is 956.

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Answer:

x-intercept (-2,0)

y-intercept (0,-3)

Step-by-step explanation:

to find the x-intercept we set y=0

so 3x=-6

x=-2

to find the y-intercept we set x=0

so 2y=-6

y=-3