What is the smallest positive x-intercept of the graph

Answer:

18,5

Step-by-step explanation:

middle numbers --> (17+20)/2 = 18,5

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Answer: 18.5

Step-by-step explanation:

Step 1) To find the median in a set of data values you must first arrange them from least greatest to greatest. Luckily, it's already done for you!

Step 2)  Then, take the two middle numbers (17 and 20) and add them.

17+20 = 37

Step 3) Now, just divide by two

37/2 = 18.5

Let me know if you have any more questions!

Answer:

1 1/5 mi

Step-by-step explanation:

We need to add the three legs together

3/10 + 1/2 + 2/5

The common denominator is 10

3/10  =3/10

1/2 *5/5 = 5/10

2/5 *2/2 =4/10

3/10 + 5/10+4/10 = 12/10

10/10 = 10/10+2/10 = 1+2/10  = 1 1/5 mi

Answer:

Length of race = 1.2 miles

Step-by-step explanation:

Length of race is given by the perimeter of triangle.

Refer the given figure.

The first leg is 3/10 mi, the second leg is 1/2 mi, and the third leg is 2/5 mi.

[tex]\texttt{Perimeter =}\frac{3}{10}+\frac{1}{2}+\frac{2}{5}=\frac{3}{10}+\frac{5}{10}+\frac{4}{10}=\frac{3+5+4}{10}\\\\\texttt{Perimeter =}\frac{12}{10}=1.2 miles[/tex]

Length of race = 1.2 miles

Answer:

f(x)=x-3

Step-by-step explanation:

You are given x-y=3 and you want to rewrite in function notation with x being the independent. That means we need to solve for y so y can depend on x.

x-y=3

Subtract x on both sides:

 -y=-x+3

Multiply both sides by -1:

  y=x -3

So function notation would be f(x)=x-3

The function notation of the equation x - y = 3, with x as the independent variable, is f(x) = x - 3.

The equation x - y = 3 is in standard form. To express this equation in function notation with x as the independent variable, we need to solve for y in terms of x. By moving y to the other side of the equation and 3 to the opposite side, we get y = x - 3. In function notation, where y is usually replaced by the function f(x), the equation becomes f(x) = x - 3.

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Answer:

16, 32, 48, 64

Step-by-step explanation:

Factors of a number are the numbers another number can be divided by. Multiples are numbers that can be divided by a number. Therefore, all the numbers in the list consist of 16 X 1, 16 X 2, 16 X 3, and so on.

The multiple of 16 is,

The multiples of 16 are 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, etc.

Multiple numbers:

It is a sequence where the difference between each next number and the preceding number, i.e. two consecutive multiples or products, is equal to 16. In simple words, multiples of a number are the products obtained by multiplying the given number by other natural numbers.

So, the required lists are,

16,32,48 and 64.

Learn more about the topic multiples of the number:

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Answer: 94.99 in^2

Step-by-step explanation: The equation for the area of a circle is A=πr^2. To solve this, we need to find the radius. The diameter is the whole circle, whole the radius is half. So divide the diameter by 2.

11/2 = 5.5

The radius is 5.5 inches. Plug the radius into the equation.

A=π5.5^2

Square the 5.5 first. You will get 30.25.

A=π30.25

Plug in 3.14 for pi.

A=3.14 x 30.25

Multiply.

A=94.985

Round to the nearest hundredth.

A=94.99

The area of the circle is 94.99 in^2.

94.99 in^2

hope this helps somebody

Answer:

D.

Step-by-step explanation:

First step: Identify the point for L.

L is at (-2,-5).

We are plugging this (x,y) into (x+8,y-3) to see where it takes us.

(-2+8,-5-3)=(6,-8).

The solution is D.

Answer: OPTION D

Step-by-step explanation:

You can observe in the figure that the coordinates of the point L are:

[tex]L(-2,-5)[/tex]

You know that the trapezoid rule applied for the translation of the trapezoid JKLM is:

[tex](x, y)[/tex]→[tex](x + 8, y - 3)[/tex]

Therefore, in order to find the coordinates of the point L', you need to add 8 to the x-coordinate of the point L and subtract 3 from the y-coordinate of the point L.

Then:

[tex]L'(-2 + 8, -5 - 3)\\\\L'(6,-8)[/tex]

Answer:

Arc length = (30/360)(2π)(14)

= (7/3)π cm = about 7.33 cm

Answer:

D.5/6 and 10/12​

Step-by-step explanation:

A.3 1/2 and 4 4/4  

    3 1/2 and 4+1

     3 1/2  and 5

not equal

B.3/2and 2/3

  2/2 + 1/2   and 2/3

   1 1/2 and 2/3

  not equal

C.6/7and 1 5/7

  6/7  and  1 5/7

   not equal

D.5/6 and 10/12​

  5/6*2/2 and 10/12

   10/12 and 10/12

  equal

Answer:

[tex]\large\boxed{V=99\pi}[/tex]

Step-by-step explanation:

The formula of a volume of a cylinder:

[tex]V=\pi r^2H[/tex]

r - radius

H - height

We have 2r = 6 → r = 3, H = 11.

Substitute:

[tex]V=\pi(3^2)(11)=99\pi[/tex]

Answer:

Part 1) The rate of change is [tex]2,000\ \$/year[/tex]

Part 2) The equation of the line into slope intercept form is [tex]y=2,000x+73,000[/tex]

Part 3) Tom's salary would be [tex]\$93,000[/tex] in ten years

Step-by-step explanation:

Let

x ------> the number of years worked

y -----> Tom's salary amount in dollars

we have the points

A(1, 75,000) and B(4,81,000)

step 1

Find the rate of change (slope)

The slope is equal to

[tex]m=(81,000-75,000)/(4-1)=2,000\ \$/year[/tex]

step 2

Find the equation of the line into slope-intercept form

we know that

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-intercept

we have that

[tex]m=2,000\ \$/year[/tex]

point A(1, 75,000)

substitute

[tex]75,000=(2,000)(1)+b[/tex]

[tex]b=75,000-2,000=73,000[/tex]

The equation of the line is

[tex]y=2,000x+73,000[/tex]

step 3

What will Tom's salary be in ten years?

For x=10 years

Substitute in the linear equation

[tex]y=2,000(10)+73,000=\$93,000[/tex]

Answer:

The increment in salary is $1500 each year. The slope intercept form is [tex]y=1500x+75000[/tex] and the salary in 10 years will be $90000.

Step-by-step explanation:

Consider the provided information.

The starting is $75,000 per year.

Let x is the number of years worked and y is Tom's salary amount in dollars.

When he has 0 yr of experience, his salary is $75000 per year.

it can be written as (0,75000).

His salary will probably be $81,000 in four years.

It can be written as (4,81000).

STEP 1:

Find the rate of change by using the formula slope=[tex]m=\frac{rise}{run}[/tex].

Determine the rise by subtracting 75000 from 81000.

Rise = 81000 - 75000 = 6000

Now determine the run by subtracting 0 from 4.

Run = 4 - 0 = 4

Substitute the respective values in the above formula.

[tex]slope=m=\frac{6000}{4}\\slope=m=1500[/tex]

Therefore, the rate of change, or the salary increase per year is $1500.

STEP 2:

Write the slope intercept form by using the formula:

[tex](y-y_1)=m(x-x_1)[/tex]

Substitute m = 1500 and [tex](x_1,y_1)=(0,75000)[/tex] on the above formula.

[tex](y-75000)=1500(x-0)\\y-75000=1500x\\y=1500x+75000[/tex]

Thus, the slope intercept form is [tex]y=1500x+75000[/tex].

STEP 3:

The salary in 10 years. can be calculated as:

Substitute the value of x = 10 in [tex]y=1500x+75000[/tex].

[tex]y=1500(10)+75000\\y=15000+75000\\y=90000[/tex]

Hence, the salary in 10 years will be $90000.

Answer:

The equation is y = 2x. The slope is two and the line is a direct variation

Final Answer:

The direct distance from point A to point B, considering a straight path through the pond, is 80 meters. This is obtained by applying the Pythagorean theorem to the right-angled triangle formed by walking 23 meters and then 57 meters along the edges of the pond. Subtracting the initial 23 meters provides the actual direct distance.

Step-by-step explanation:

In this scenario, we can apply the Pythagorean theorem to find the direct distance from point A to point B. Let's denote the sides of the right-angled triangle formed by walking along the edges of the pond as follows: the first leg (along one edge) is \(a = 23\) meters, the second leg (along the other edge) is [tex]\(b = 57\)[/tex] meters, and the hypotenuse (direct distance from A to B, walking through the pond) is (c). According to the Pythagorean theorem, [tex]\(c^2 = a^2 + b^2\).[/tex]

Substituting the given values, we get [tex]\(c^2 = 23^2 + 57^2\).[/tex] Calculating this gives [tex]\(c^2 = 529 + 3249\)[/tex], resulting in [tex]\(c^2 = 3778\)[/tex]. Taking the square root of both sides gives [tex]\(c ≈ \sqrt{3778} ≈ 61.47\)[/tex]. Therefore, the direct distance from point A to point B, walking through the pond, is approximately 61.47 meters.

However, since the question asks for the distance considering walking straight through the pond, we need to add the lengths of both sides of the pond. Thus, [tex]\(61.47 + 23 + 57 = 80\)[/tex]. Therefore, the final answer is 80 meters. This approach considers the direct path, incorporating the lengths of the edges and the hypotenuse, providing the most accurate measurement for the distance from point A to point B.

Answer: people who have had Pedro’s perfect pizza delivered to their house in the last month

Step-by-step explanation:

I guessed and got lucky lol

Answer:

The correct answer is last option 3√2 units

Step-by-step explanation:

From the figure we can see that two small  right angled triangle.

These two triangle combined to form a large right angled triangle.

To find the value of x

Consider the small triangle with hypotenuse x and one side 3 units.

The angles of this triangle be 45°, 45° and 90°, then the sides are in the ratio 1 : 1 : √2

Therefore we can write,

3 : 3 : x = 1 : 1 : √2

x = 3√2

The correct answer is last option 3√2 units

Answer:

=11.155 in³

Step-by-step explanation:

Given data:

Radius= 1.75 inches

Height = 3.5 inches

Diameter= 0.5 inches

To find the volume of a cone we will apply the formula:

Volume of a cone = 1/3 πr²h

Substitute the values:

V= 1/3* 3.14 *(1.75)² * 3.5

V=1/3 *3.14*(3.0625)* 3.5

V= 33.66/3

V=11.22 in³

Now find the volume of the bubble gum:

Volume of bubble gum = 4/3 π*r³

Substitute the values:

V= 4/3*3.14*(0.5/2)³

V=4/3*3.14(0.25)³

V=4/3*3.14(0.015625)

V=0.19625/3

V=0.0654 in³

Now subtract the volume of bubble gum ball from the volume of a cone

=11.22 - 0.0654

=11.155 in³

Thus the closest approximation of the volume of the cone that can be filled with flavored ice is 11.155 in³....

Answer:

11.15 in³

Step-by-step explanation:

Answer:

x = 38

Step-by-step explanation:

Add 13 to both sides, to isolate x:  x = 38

We verify this solution using substitution (not subtraction):

Is 38 - 13 = 25 true?  Yes, it is.

Answer:

X-13=25

get coefficient X by itself by adding 13 to both sides

X=-13+13=25+13

X=38

Answer:

Shift +2 units to the right and +2 units up

Step-by-step explanation:

y = (x+3)² + 4 has a horizontal shift of -3 and a vertical shift of +4.

y = (x+1)² + 6 has a horizontal shift of -1 and a vertical shift of +6.

So do translate the first equation to the second, shift +2 units to the right and +2 units up.

Answer:

Only the function represented by graph 2 has an inverse function

Step-by-step explanation:

* Lets explain the inverse of the function

- The Function is a relation between x-coordinates and the y-

 coordinates of the order pairs under the condition every

 x-coordinate has only one y-coordinate

- Ex: R = {(2 , 3) , (1 , 5) , (-2 , -3)} is a function because every x-

 coordinate has only one y-coordinate and R = {(2 , 3) , (-1 , 4) ,

 (2 , 5)} not a function because the x-coordinate 2 has two y-

 coordinates 3 and 5

- We use the vertical line to test the graph is function or not, if

 the vertical line intersects the graph in one point then the

 graph is function if intersects it in more than one point then the

 graph is not function

- We have two types of function one-to-one function and

 many-to-one function

# one-to-one function means every x-coordinate has only 1 y-coordinate

# many-to-one function means some x-coordinates have only 1

  y-coordinate

- We find the inverse function by switching x and y, then one-to-

 one function has inverse but many-to-one has not inverse

 because when we switched x and y it will be one-to-many

 means one x-coordinate has many y-coordinates and this is not

 a function

- We use the horizontal line to test the graph of the function has

 inverse or not, if the horizontal line intersects the graph in one

 point then the function of the graph has inverse if it intersects

 the graph in more than one point ,then the function of the  

 graph has no inverse

* Now lets test all the graphs by using the horizontal line

# graph 1

∵ The horizontal line cuts the graph in more than 1 point

∴ The function of graph 1 has no inverse

# graph 2

∵ The horizontal line cuts the graph in just 1 point

∴ The function of graph 2 has inverse

# graph 3

∵ The horizontal line cuts the graph in more than 1 point

∴ The function of graph 3 has no inverse

# graph 4

∵ The horizontal line cuts the graph in more than 1 point

∴ The function of graph 4 has no inverse

* Only the function represented by graph 2 has an inverse function

Answer:

[tex](x+5)^2+(y+2)^2=625[/tex]

Step-by-step explanation:

The center-radius form a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex]. Okay, it is called standard form.  But I like to call it center-radius form because it tells us the center (h,k) and the radius,r.

So we are given the following information r=25 and center=(h,k)=(-5,-2).

So we just plug this in like so:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

[tex](x--5)^2+(y--2)^2=25^2[/tex]

[tex](x+5)^2+(y+2)^2=625[/tex]

Final answer:

The cost of 2.50 pounds of bananas is 1.50 dollars.

Explanation:

To find the cost of 2.50 pounds of bananas, we need to multiply the weight of the bananas by the cost per pound. In this case, the cost per pound is 60 cents.In the store, bananas cost 60 cents per pound, and the cost in dollars for x pounds of bananas is given by the equation 0.6x. To find the cost of 2.50 pounds of bananas, you simply substitute x with 2.50 in the equation: 0.6 times 2.50.  So, we multiply 2.50 pounds by 0.60 dollars per pound:

2.50 pounds x 0.60 dollars/pound = 1.50 dollars.

Therefore, the cost of 2.50 pounds of bananas is 1.50 dollars.

Answer:

The equations represent circles that result in the same graph.

Step-by-step explanation:

we have

[tex]-10x^{2}-10y^{2}=-300[/tex]

Divide by -10 both sides

[tex]x^{2}+y^{2}=30[/tex] -----> equation A

This is the equation of a circle centered at origin with radius [tex]r=\sqrt{30} \ units[/tex]

and

[tex]5x^{2}+5y^{2}=150[/tex]

Divide by 5 both sides

[tex]x^{2}+y^{2}=30[/tex] -----> equation B

This is the equation of a circle centered at origin with radius [tex]r=\sqrt{30} \ units[/tex]

equation A and equation B are equal

therefore

The system has infinite solutions, because the equations represent circles that result in the same graph.

Answer:

No

Step-by-step explanation:

The short answer is no. b stands for some number. Once that number is fixed, it does not change. So the equation would look something like

y = 2x + 6  Now if you look at that again, that 6 is fixed.

If you want to put something in for x like x = 5 you get

y = 2(5) + 6

y = 10 + 6

y = 16                   b = 6 did not change.

What does y = 2x equal

y = 2*5

y = 10

10 does not equal 16.

The only exception to what I've written is b = 0. Then both equations mean the same thing. But that is an exception.

Answer:

4/3 hours  or 1 hour 20 minutes.

Step-by-step explanation:

1/4 page takes 1/3 hour to write.

By proportion 1 page will take 1/3  / 1/4

=  1/3 * 4

= 4/3 hours.

Answer:

[tex]1\frac{1}{3}\text{ hours}[/tex]

Step-by-step explanation:

Given,

Time taken to write 1/4 of a page = [tex]\frac{1}{3}[/tex] hour,

i.e. the ratio of time taken and number of pages wrote = [tex]\frac{1/3}{1/4}=\frac{4}{3}[/tex]

Let x be the time taken to write a full page,

So, the ratio of time taken( in hours ) and page wrote = [tex]\frac{x}{1}[/tex]

[tex]\implies \frac{x}{1}=\frac{4}{3}[/tex]

[tex]x=1\frac{1}{3}[/tex]

Hence, the time taken to write 1 page is [tex]1\frac{1}{3}[/tex] hours.

[tex]x^2 – 5x + 6 = 0\\x^2-2x-3x+6=0\\x(x-2)-3(x-2)=0\\(x-3)(x-2)=0\\x=3 \vee x=2\\A=\{-2,3\}\\\\x^2=9\\x=-3 \vee x=3\\B=\{-3,3\}\\\\A\cap B=\{3\}\\A\cup B=\{-3,-2,3\}[/tex]

Answer:

{ x ∈ R | x ≥  9 }

Step-by-step explanation:

we have

[tex]2x-7 \geq 11[/tex]

solve for x

Adds 7 both sides

[tex]2x\geq 11+7[/tex]

[tex]2x\geq 18[/tex]

Divide by 2 both sides

[tex]x\geq 18/2[/tex]

[tex]x\geq 9[/tex]

The solution is the interval -----> [9,∞)

In set builder notation

{ x ∈ R | x ≥  9 }

All real numbers greater than or equal to 9

Answer:

Step-by-step explanation:

[tex]10^.^7^5=10^l^o^g^(^x^)\\=10^.^7^5=x\\=10^\frac{3}{4}=\sqrt[4]{10^3} =\sqrt[4]{1000} =5.6=x[/tex]

To solve the equation 0.75 = log(x), we exponentiate both sides with base 10, resulting in x = 10^0.75. The calculated value of x to the nearest hundredth is approximately 5.62.

To solve the equation 0.75 = log(x), we need to understand that the logarithm function here is the common logarithm, which means it has a base of 10. The equation essentially states that 10 raised to the power of 0.75 equals x. To find x, we simply need to perform the inverse operation of taking the logarithm, which in this case is exponentiation.

We use the fact that if logb(a) = c, then bc = a, where b is the base, a is the result, and c is the exponent. Therefore, we can rewrite our original equation as:

x = 100.75

Using a calculator, we can find that:

x ≈ 5.62

This is the value of x, rounded to the nearest hundredth, as the question requested.

Step-by-step explanation:

if a^2 +b^2 <c^2,

then abc is not a right triangle since for a right triangle a^2+ b^2 = c^2

The following features of the triangle are found: A. a² + b² - c² = 2 · a · b · cos θ, B. cos θ < 0, C. The triangle is not a right triangle.

How to analyze the features of a triangle

In this question we must infer all features from a triangle such that a² + b² < c². Then, the triangle is not a right triangles since relationship between side lengths is different from the relationship described by Pythagorean theorem. Then, triangle is described by law of cosine:

a² + b² - c² = 2 · a · b · cos θ

If a² + b² < c², then a² + b² - c² < 0 and 2 · a · b · cos θ < 0. Thus, we get the following result: cos θ < 0.

Statement C can be combined with its converse to form a true biconditional because both statements are true.

In order for a statement and its converse to form a true biconditional, both statements must be true. Let's analyze the given statements:

A) If the measure of an angle is 30, then it is an acute angle.

B) If two lines intersect, then the two lines are not skew.

C) If the ray is the perpendicular bisector of the segment, then it divides the segment into two congruent segments.

D) If an angle is a straight angle, then its sides are opposite rays.

Out of these options, statement C can be combined with its converse to form a true biconditional because both statements are true:

If the ray is the perpendicular bisector of the segment, then it divides the segment into two congruent segments.

If the segment is divided into two congruent segments, then the ray is the perpendicular bisector of the segment.

Answer:

12

Step-by-step explanation:

The least common multiple of 4 and 6 is what we are looking for

4,8 ,12,16,20

6,12,18

The smallest number is 12

54 people owned either a mouse or a parrot

A Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things.

Number of people that owned only mice = 36 - 14 = 22

Number of people that owned only parrot = 32 - 14 = 18

Number of people that owned either a mouse or a parrot = 22 + 18 + 14 = 54

54 people owned either a mouse or a parrot

Find out more on Venn diagram at: https://brainly.com/question/2099071

By using the principle of inclusion-exclusion to find the total number of pet store customers who owned either a mouse or a parrot, we calculated that 54 customers owned at least one of the pets, taking into account that 14 customers owned both.

To determine the total number of store customers who owned either a mouse or a parrot, we need to apply the principle of inclusion-exclusion. This principle allows us to find the union of two sets without counting elements (customers) that are common to both sets more than once. The formula is ∑(A ∪ B) = ∑(A) + ∑(B) - ∑(A ∩ B), where ∑ denotes the number of elements in a set, A represents the group of mouse owners, B represents the group of parrot owners, and A ∩ B represents the group that owns both mice and parrots.

Applying this to our situation:

Using the principle of inclusion-exclusion:

∑(A ∪ B) = 36 + 32 - 14 = 54

This means that 54 customers owned either a mouse or a parrot or both.