Yuto left his house at 10 a.m. to go for a bike ride. By the time Yuto’s sister Riko left their house, Yuto was already 5.25 miles along the path they both took. If Yuto’s average speed was 0.25 miles per minute and Riko’s average speed was 0.35 miles per minute, over what time period in minutes, t, starting from when Riko left the house, will Riko be behind her brother?

The zeros in the equation  y = 2(x+3)(x+3)-1

[tex]x=-\frac{6-\sqrt{2}}{2},-\frac{6+\sqrt{2}}{2}[/tex]

This is further explained below.

2(x+3)(x+3)-1

Set 2(x+3)(x+3)-1 equal to 0 .

2(x+3)(x+3)-1=0

Solve for x.

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

[tex]$2 x^2+12 x+17=0$[/tex]

Use the quadratic formula to find the solutions.

[tex]\frac{-b \pm \sqrt{b^2-4(a c)}}{2 a}[/tex]

Substitute the values a=2, b=12, and c=17 into the quadratic formula and solve for x.

[tex]\frac{-12 \pm \sqrt{12^2-4 \cdot(2 \cdot 17)}}{2 \cdot 2}[/tex]

Simplify.

[tex]x=\frac{-6 \pm \sqrt{2}}{2}[/tex]

In conclusion, The final answer is the combination of both solutions.

[tex]x=-\frac{6-\sqrt{2}}{2},-\frac{6+\sqrt{2}}{2}[/tex]

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Given,

Elijah buys $112 worth of exterior equipment from the stereo store.

Processing fee for using the credit card = 2.5%

Therefore,

Total cost of the exterior equipment

= Worth price + procession fee

= 112 + 2.5% of 112

= 112 + 2.8

= 114.8

Hence, the  total  cost would be $114.8

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Answer:

3913

Step-by-step explanation:

Step:1 setup

set up your multiplication problem like this

   91

  43

X_______

Step:2 Multiply 1 x 3=3 Put 3 below the line and 0 as a reminder on top:

0

91

43

x_______

            3

Step 3:Multiply

3 x 9 = 27. Take 27 and add 0 from the previous step to get 27 Enter 27 the bottom:

91

43

X

----------

     273

step 4:Add 0 Enter a 0 at the bottom right as a place holder,because you now move over one digit:

91

43

X

_______

273

+       0

Step 5: Multiply

4 x 1 = 4. Put 4 below the line and 0 as a reminder on top:

0

91

43

x

________

          273

+            40

Step 6:Multiply

4 x 9 = 36 and add 0 from the previous step to get 36. Enter 36 at the bottom:

91

43

x

__________

             273

+          3640

Step 7: Add to get answer

Add up the bottom two numbers (273 + 3640 = 3913 to get the answer:

91

x   43

_________

            273

+          3640

____________

=  3913

Answer:

7

Step-by-step explanation:4*7=28

Therefore 5*7=35

28:35= 4:5

Given a function f(x), the transformation(s) that take place in the graph of -f(x + 4) are; Shifting the function by 4 units to the left and reflection about the horizontal axis.

We are told that a function f(x) undergoes transformation to get -f(x + 4).

Now, when it comes to transformation, moving the function by say c units to the right simply means subtracting c units from x. However, moving the function by c units to the left simply means adding c units to x.

Now, when we transform f(x) to f(-x), it simply means a reflection about the vertical axis. Whereas, when we transform f(x) to -f(x), it simply means a reflection about the horizontal axis.

Thus, the transformation of f(x) to -f(x + 4) is simply shifting the function by 4 units to the left and reflection about the horizontal axis.

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IF YOU CHECK YOU WILL FIND THAT THIS IS A DIFFERENCE OF TWO SQUARES

[tex] = (5 - 3x)(5 + 3x)[/tex]

ATTACHED IS THE SOLUTION

Answer:

-35

Step-by-step explanation:

w = 2x^2 + 1

= (2 x -3)^2 +1

= -6^2 + 1

=-36 + 1

= -35

The distance of the light travels in 15 seconds is 4500000 kilometers.

It should be noted that a function is simply used to illustrate the relationship between the variables that are given.

In this case, the function is given as d(t) = 300000t. Therefore, it should be noted that the distance of the light travels in 15 seconds will be:

d(t) = 300000t

where t = 15

d(t) = 300,000 × 15

distance = 4,500,000 kilometers

The distance is 4500000 kilometers.

Note that the second question wasn't written properly and hence can't be solved.

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The slope of the functions f(x) and j(x) will be -1. And the y-intercept of the function j(x) will be 19.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

If f(x) = - x and j(x) = f(x) + 19

Then the function j(x) will be given as,

j(x) = f(x) + 19

j(x) = - x + 19

The slope of the functions f(x) and j(x) will be -1. And the y-intercept of the function j(x) will be 19.

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Answer:

x = -7

Step-by-step explanation:

Answer:

x=-7

Step-by-step explanation:

A function is defined as a relation where each input value is paired with exactly one output value. The input -1 has 2 outputs, thus the relation is not a function.

Answer:

perimeter = 38 units.

Step-by-step explanation:

30 + 7.85

= 37.85

≈ 38 units

Answer:

37.85 (Assuming you are supposed to estimate pi)

Step-by-step explanation:

First, add the easy stuff:

10+10+5+5=30

Then, find the circumference of the circle:

c = 2 π r

c = 2(5)π

c = 10π

Divide by 4:

10π/4 ≅ 7.85

7.85 + 30 = 37.85

Answer:

x=10 and y=-10

Step-by-step explanation:

-8x-9y=10

4x-5y=14

put each equation in brackets and get the coefficient of y in the first equation , multiply it with everything in the second equation .Get also the coefficient of y in the second equation and multiply it with everything in the first equation.

-5(-8x-9y=10)

-9(4x-5y=14)

the subtract the first equation from the second equation after multiplying.

40x+45y=-50

-

-36x+45y=-90

4x=40

x=10

Now get any equation from the two equations and find the value of y.

-8x-9y=10

-8*10-9y=10

-9y=10+80

-9y=90

y= -10

Solution :-

2x - 9y = -1

2x = 9y - 1

x = 9y - 1 / 2 _________ (1)

Now, substitute it here!

-4x - 3y = - 19

-4 (9y - 1 /2) - 3y = -19

(-36y + 4 - 6y / 2) = -19

(-42y + 4 / 2) = -19

-42y + 4 = -38

-42y = -38 - 4

-42y = -42

y = 1

Value of x :

Substituting the value of y that is 1 in this equation. x = 9y - 1 / 2

x = 9(1) - 1 / 2

x = 9 - 1 / 2

x = 8 / 2

x = 4

Answer: 41 1/14

Step-by-step explanation:

      41R1 ==> 41 1/14

14|575

  -56

  ____

      15  

     -14

      __

       1

The value gotten when -1/2 is added to 2/3 is 1/6.

Addition is the process that is used in mathematics to determine the sum of two or more numbers. The sign that represents addition is +.

A fraction is a non-integer that has a numerator and a denominator. The numerator is the number above the line and the denominator is the number below the line. An example of a fraction is 1/2. 1 is the numerator and 2 is the denominator.

[tex]-\frac{1}{2} + \frac{2}{3}[/tex]

[tex]\frac{-3 + 4}{6}[/tex] = [tex]\frac{1}{6}[/tex]

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Answer:

20

Step-by-step explanation:

The sum of a number and its half is thirty. Find the number​:

the formula would be:

1.5x = 30

divide both sides by 1.5:

1.5x/1.5 = 30/1.5

x = 20

check:

20 = 20

1/2 of 20 = 10

20 + 10 = 30

Answer:

x+0.5x=30

1.5x=30

x=20

1) given

2) corresponding angle theorem

3) vertical angle theorem

4) transitive

The value of x in the given right-angled triangle is 13.

A triangle is a polygon with three sides and three vertices. The sum of angles in a triangle is 180 degrees. A right triangle is a triangle in which one of its angles measure 90 degrees. The longest side of a right triangle is known as the hypotenuse.

180 = 39 + (3x + 12) + 90

Combine similar terms: 180 - 39 - 12 - 90 = 3x

Add similar terms together: 39 = 3x

Divide both sides of the equation by 3: x = 39/3

x = 13°

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From the diagram in the image below, it can not be assumed that A C D is a right angle. Option A

This is further explained below.

Generally, In a triangle, a right triangle, also known as a right-angled triangle, an orthogonal triangle, or what was previously known as a rectangle triangle, is a triangle in which either one of the triangle's angles is a right angle or two of the sides are perpendicular to one another.

The relationship between the sides of a right triangle and the other angles provides the foundation for the study of trigonometry.

In conclusion, It is not possible to deduce from the diagram in the figure below that the angle ACD are right angles. Alternative A

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Answer:

if im not mistaken its $11

Step-by-step explanation: dint know how to explain but i think its correct

The relationship between -5/6 and -7/10 is -5/6< -7/10.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

The sign for more than is >. In other words, -7/10>-5/6 means "-7/10 is bigger than -5/6." The sign for less than is <.There is two other sign which represents greater than or equal to and less than and equal to.

It is given that,

Fraction 1,

-5/6 = -0.83

Fraction 2,

-7/10 = -0.7

As we know the value of  -0.7 is greater than -0.83.

As a result, the relationship is -5/6< -7/10.

Thus, the relationship between -5/6 and -7/10 is -5/6< -7/10.

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Answer:

x = 76

Step-by-step explanation:

First, distribute -4:

-4x + 104 = -200

Isolate x:

-4x = -200 - 104 = -304

x = -304/-4 = 76

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{(5\times10^3) \times (9\times10^7)}[/tex]

[tex]\mathsf{= (5\times 10\times 10\times 10)\times (9\times 10\times10\times10\times 10\times10\times10\times 10)}[/tex]

[tex]\mathsf{= (5\times 100\times 10) \times (9\times 100\times 100\times 100 \times 10)}[/tex][tex]\mathsf{= (5\times 1,000) \times {(9\times 10,000\times 1,000)}}[/tex]

[tex]\mathsf{= (5,000)\times(90,000\times1,000)}[/tex]

[tex]\mathsf{= (5,000)\times (90,000,000)}}[/tex]

[tex]\mathsf{= 5,000\times 90,000,000}}[/tex]

[tex]\mathsf{= 450,000,000,000}[/tex]

[tex]\mathsf{= 4.5\times10^{11}}[/tex]

[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{4.5\times 10^{11}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

after using each and every details of science class and maths class given in the question

solution of

part a - f(2) = 81

part b - g(2) = 83

part c - Test average for maths class after test 2 is greater

Function is a mathematical phrase, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). Functions are used frequently in mathematics and are crucial for constructing physical links in the sciences.

f(x) = 0.5x + 80

solving (A) f(2) = 0.5 * 2 + 80

      = 1  +  80

       = 81

solving (B) : g(2) =83 when x= 2

so :

g(2) = 83

solving (C) : which is greater f(2) or g(2)

in (a) and (b)

f(2) = 81

g(2) = 83

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Answer:

part a - f(2) = 81

part b - g(2) = 83

part c - average for maths class after test 2 is greater

Step-by-step explanation:

Got it right

The values of x and y in the system of equations are x = 1 and y = 2

Linear equations are equations that have constant average rates of change.

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

4x + 3y = 10

y - x = 1

Make y the subject in the second equation, by adding x to both sides of the equation

y - x + x = x + 1

This gives

y = x + 1

Substitute y = x + 1 in 4x + 3y = 10

4x + 3(x + 1) = 10

4x + 3x + 3 = 10

Evaluate the like terms

7x = 7

This gives

x = 1

Substitute x = 1 in y = x + 1

y = 1 + 1

Evaluate

y = 2

Hence, the solution for the system of linear equations 4x + 3y = 10 and y - x = 1 are x = 1 and y = 2

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Possible question

Solve for x and y in the following system of equations

y - x = 1

4x + 3y = 10

The critical value that is appropriate for a​ 99% confidence level where n​17, is​ unknown, and the population appears to be normally​ distributed is 2.921 (Option B).

A Critical value is the value of the test statistic that establishes the upper and lower boundaries of a confidence interval or the statistical significance threshold in a statistical test.

How did we arrive at the above conclusion?

We are given:

n=17, where n is the size of the set

df = n-1; (df means degree of freedom)

= 17-1

df = 16, at 99% confidence level.

Here we apply the t-test because the data is normally distributed.

∝ = 1-99% [Shere ∝ is the significance level)

= 0.01

∝/2 = 0.01/2

= 0.005

hence,

[tex]t_{\alpha /2} ,df[/tex]  = [tex]t_{0.005}[/tex], 16 = 2.921. this is derived using the T-Table.

The above leads us to conclude therefore that Option B is correct.

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