Graph the following Y=x-4

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

step length = 34 inches

walking = 10000 steps

Step 02:

feet to inches

1 feet = 12 inches

1 step --------------- 34 inches

10000 steps ------- x

1 * x = 10000 * 34

x = 340000

340000 inches * ( 1 feet / 12 inches)

28333.33 feet

The answer is:

You will walk 28333.33 feet .

In a pie chart, the sum of the angles for each variable or item is 360 degrees. also, the total percentage is 100

Looking at each flavor,

27% chose Glazier freeze, = 27/100 * 360 = 97.2 degrees

25% chose Fierce grape = 25/100 * 360 = 90 degrees

15.5% chose Extreme Citrico = 15.5/100 * 360 = 55.8 degrees

13.5% chose Cool Blue = 13.5/100 * 360 = 48.6 degrees

11.5% chose Lemon ice = 11.5/100 * 360 = 41.4

We want to determine the degrees for others

Therefore,

97.2 + 90 + 55.8 + 48.6 + 41.4 + others = 360

333 + others = 360

others = 360 - 333

others = 27 degrees

The correct option is C

The concept used is converting the given percentages to degrees and equation them to 360 degrees

100% is equivalent to 360 degrees

Given

Find

Values of a and b for this conic section

Explanation

As we know the standard equation for conic section is given by

where (h , k) be the vertex

vertices (h+a , k) and (h-a , k)

given equation can be rewrite as

on comparing , we get

a = 2 and b = 3

Final Answer

Therefore , the value of a = 2 and b = 3

Okay, here we have this:

Considering that a composite number is a number that is not prime, the only number one of the units that tells us that a two-digit number is composed is 5, since every number ending in 5 is a multiple of 5.

2x + 3y = 250

y = (250 - 2x)/3 (1)

S = x * y

= (-2/3x + 250/3)*x

= -2/3(x - 125/2)^2 + 125^2/6

x = 125/2

Replacing the value of x in (1)

y = 125/3

From the diagram

Ratio of model A car to model B car = 4:6

Ratio of model A to model B = 4:6

Ratio of model B to model A = 6:4

Ratio of model A to total = 4:10

Ratio of model B to total = 6:10

If 40 model A cars sold

I know that 60 model B cars was sold.

Answer:

• Amplitude = 2

• Period = π/4

Explanation:

Given the function:

In order to sketch the graph of y, we need to find its amplitude and period.

Comparing the function with the general sine function:

We have that:

Next, using these values, we sketch one cycle of the graph below:

When we perform the reflection of a figure over the x-axis, we just have to change the sign of the y-coordinate of each point, like this: P(x,y) -> P'(x,-y).

Then after a reflection of the triangle, the point M goes from (-5,-1) to (-5, 1)

Then the correct answer is the last option (-5, 1)

Pythagoras Theorem:

In a right angle triangle, the sum of square of base and perpendicular is equal to the square of Hypotenuse .

Hypotenuse² = Perpendicular² + base²

In the given figure, we have:

Base = k

Hypotenuse = 10

Perpendicular = 6

Substitute the valus and solve for k,

The missing side is 8

Answer: 8

.Since the old number of patients is 960

Since it is increasing by 25%, then

We will find the amount of 25% of 960, then add it to 960

Add it to 960 to find the new number of patients

Dr Wells saw 1200 patients

To determine the factor of the given polynomial, first, we rewrite it as follows:

Now, notice that:

Factoring out the 4x+1, we get:

For the given table:

We will find the necessary score on the final exam for a student to earn an A (90%) in the class.

so,

The equation will be:

now, solve the equation to find x:

So, the answer will be:

The student needs a score of 85% on the final exam to earn a 90%

Answer:

The parenthesis part is already taken care of by the teacher.

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Explanation:

y is equal to x^2-9 and also 4x-4. We can equate those two right hand sides and get everything to one side like this

x^2-9 = 4x-4

x^2-9-4x+4 = 0

x^2-4x-5 = 0

Then we can use the quadratic formula to solve that equation for x.

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-4)\pm\sqrt{(-4)^2-4(1)(-5)}}{2(1)}\\\\x = \frac{4\pm\sqrt{36}}{2}\\\\x = \frac{4\pm6}{2}\\\\x = \frac{4+6}{2} \ \text{ or } \ x = \frac{4-6}{2}\\\\x = \frac{10}{2} \ \text{ or } \ x = \frac{-2}{2}\\\\x = 5 \ \text{ or } \ x = -1\\\\[/tex]

Or alternatively

x^2-4x-5 = 0

(x-5)(x+1) = 0

x-5 = 0 or x+1 = 0

x = 5 or x = -1

------------------------------

After determining the x values, plug them into either original equation to find the paired y value.

Let's plug x = 5 into the first equation:

y = x^2-9

y = 5^2-9

y = 25-9

y = 16

Or you could pick the second equation:

y = 4x-4

y = 4(5)-4

y = 20-4

y = 16

We have x = 5 lead to y = 16

One solution is (x,y) = (5,16)

This is one point where the two curves y = x^2-9 and y = 4x-4 intersect.

If you repeat the same steps with x = -1, then you should find that y = -8 for either equation.

The other solution is (x,y) = (-1,-8)

Answer:

[tex](x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}[/tex]

[tex](x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}[/tex]

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}y=x^2-9\\y=4x-4\end{cases}[/tex]

To solve by the method of substitution, substitute the first equation into the second equation and rearrange so that the equation equals zero:

[tex]\begin{aligned}x^2-9&=4x-4\\x^2-4x-9&=-4\\x^2-4x-5&=0\end{aligned}[/tex]

Factor the quadratic:

[tex]\begin{aligned}x^2-4x-5&=0\\x^2-5x+x-5&=0\\x(x-5)+1(x-5)&=0\\(x+1)(x-5)&=0\end{aligned}[/tex]

Apply the zero-product property and solve for x:

[tex]\implies x+1=0 \implies x=-1[/tex]

[tex]\implies x-5=0 \implies x=5[/tex]

Substitute the found values of x into the second equation and solve for y:

[tex]\begin{aligned}x=-1 \implies y&=4(-1)-4\\y&=-4-4\\y&=-8\end{aligned}[/tex]

[tex]\begin{aligned}x=5 \implies y&=4(5)-4\\y&=20-4\\y&=16\end{aligned}[/tex]

Therefore, the solutions are:

[tex](x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}[/tex]

[tex](x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}[/tex]

Find the slope of the line that passes through these two points

P1 = (0, -2)

P2 = (5, 3)

The slope would be 1

Given: A statement, "When 27 is subtracted from the square of a

number, the result is 6 times the number."

Required: To determine the number.

Explanation: Let the number be x. Then according to the question-

Rearranging the equation as -

The quadratic equation can be simplified as follows-

Final Answer: The negative solution is-

[tex]\sf \Large \boxed{\sf +}\\ \sf \Large \boxed{\sf +}\\\\ \sf \Large \boxed{\sf 11x+-11y=-22}\\\\ 2x+9x-3y-8y=4-26\\Combine\\11x-11y=-22\\Simplify\\x-y=-2\\x=y-2\\Plug\ the\ value\ in\ the\ equation\\2(y-2)-3y=4\\2y-4-3y=4\\-y-4=4\\-y=8\\y=-8\\Solve\ for\ x\\9x-8(-8)=-26\\9x+64=-26\\9x=-90\\x=-10[/tex]

Given:

Required:

To find the first principles

Explanation:

First principle,

Final Answer:

Given:

Let's simplify using exponential notation.

To simplify, multiply the the base, then use law of indicies to add the exponents

We have:

Solution:

The equation of a line that passes through two points is expressed as

Given that the line passes through the points (2,3) and (2, 5), this implies that

By substitution, we have

Hence, the equation of the line that passes through the given points (2,3) and (2,5) is

To find the maximum profit we need to maximize the function.

First we need to find the critical points, to do this we need to find the derivative of the function:

now we equate it to zero and solve for x:

hence the critical point of the function is x=105/4.

The next step is to determine if the critical point is a maximum or a minimum, to do this we find the second derivative:

Since the second derivative is negative for all values of x (and specially for x=105/4) we conclude that the critical point is a maximum.

Hence the function has a maximum at x=105/4. To find the value of the maximum we plug the value of x to find y:

Therefore the maximum profit is $605

If we want to enlarge the picture by a factor of 4.5, the perimeter will also increase by the factor of 4.

Hence, the correct option is Option A

ANSWER

EXPLANATION

The ratio between corresponding sides of similar triangles is constant - in other words, the ratio between each pair of corresponding sides gives the same value.

As shown in the questions, the ratios between corresponding sides are,

Since the three ratios between corresponding sides are the same, 1.5, the triangles are similar.

We are given the following complex numbers

To perform the addition of the complex numbers, simply add the like terms together.

Similarly,

Therefore, the result of the complex addition is

We have, From the graph it can be seen that when x tends to zero on the right, y

The sum of the n first terms in an arithmetic series is given by the following formula

Where a_1 represents the first term, a_n represents the n-th term, and n the amount of terms we want to sum.

The first term of our sequence is 13, the tenth term is 89 and the amount of terms is 10. Plugging those values in our formula, we have

This sum is equal to 510.

Answer:

The amount of money Kitty would have is;

Explanation:

Given that Kitty invested $4000 into an account that earns 8% interest compounded monthly for 10 years;

Applying the formula for compound interest;

Substituting the given values;

Therefore, the amount of money Kitty would have is;

The 1,500 calories in the combination meal and the amount of calories per mozzarella stick and per each slider gives an equation with the following solution;

There are 11 mozzarella sticks and 2 sliders in the combination meal.

An equation in mathematics is a statement that two mathematical expressions are equal.

The number of calories in each mozzarella stick = 100

Number of calories in each slider = 200

Number of calories in the combination meal = 1,500

Number of mozzarella sticks in the combination meal = 9 + The number of sliders

Let s represent the number of sliders in the combination meal, we have;

Number of mozzarella in the combination meal = s + 9

The equation that gives the amount of calories in the meal is therefore;

200·s + 100·(s + 9) = 1,500

200·s + 100·s + 900 = 1,500

300·s = 1,500 - 900 = 600

s = 600 ÷ 300 = 2

The number of sliders in the combination meal, s = 2

The number of mozzarella in the meal = 2 + 9 = 11

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The first statement is about the diameter of the circle.

The diameter of a circle is always the double of its radius.

So if circle A ras a radius of 4 inches, its diameter is:

So the first statement is true (YES)

The second statement is about the area of the circle. The area of a circle is given by the following equation:

If the radius of the circle is 4 inches, we have:

So the second statement is also true (YES)

The third statement is about the volume of a cylinder with a height of 6 inches and the circle A as the base. The volume of a cylinder is given by the equation:

Using the radius = 4 inches and the height = 6 inches, we have:

The volume is not 64pi, so this statement is false (NO).

Its corner points (0, 0), (2, 1), (0, 2), (1, 0)

From the question, we have

All the points should be positive, as we can see after carefully examining the equation.

There are two approaches to approach this problem. The first is to solve the equations, create a graph, and make a decision.

The alternative is to just plug the points into the equations and check to see if the conditions are met; this method is quicker for tests with MCQs.

As a result, option B is correct.

Inequalities:

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than. The different inequality symbols, properties, and methods for resolving linear inequalities in one variable and two variables will all be covered in this article along with examples.

Complete question: A shaded region is described by the following inequalities: x 20, y 20, x + 2y s 4, X y sl. What are its corner points? a. (0, 0), (1, 0), (0; 1), (0, 2) b. (0, 0), (2, 1), (0, 2), (1, 0) c. (0, 0), (4, 0), (0, 2), (2, 1) d. (0, 0), (1, 0), (2, 1), (0, 1) e. (0, -1), (2, 1), (0, 2)

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