Question 15 David went for a run in his town. He ran from his house to the school, which is 1.22 miles. Then he ran 3 laps around the school track. Each lap is 0.25 miles. Then he ran halfway to the gas station. The distance from the school track to the gas station is 2.68 miles. Finally he ran straight home, which is 0.49 miles. What is the total distance David ran?

Answer:

y = 4x - 11

Step-by-step explanation:

given slope m = 4

point (2, -3) for (x1, y1)

equation for point slope form

y - y1 = m(x- x1)

y - (-3) = 4 (x -2)

y + 3 = 4x - 8, simplify

y = 4x - 11

Step-by-step explanation:

In this question maybe we have to make equation or formulas so

A to find yellow jelly beans = 2g

B to find red jelly beans = g - 5

C to find black jelly beans = g + 4

Answer: m> 49/12

Step-by-step explanation:

The graph is a parabola . The Parabola with minimum point. So, Substitute the minimum value in the equation. Thus the graph of have two x-intercepts when.

The graph is a parabola with the minimum where x= -b/2a = -7/6.

To have 2 x intercepts, the value at the minimum point must be less than 0, i.e.

3(49/36) - 49/6 + m < 0

49/12 - 49/6 + m < 0

(49-98)/12 + m < 0

-49/12 + m < 0

m < 49/12

The values of m < 49/12 the equation of the function y = 3x² + 7x + m have two x-intercepts option (C) m < 49/12 is correct.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

It is given that:

The equation of the graph:

y = 3x² + 7x + m

If the above quadratic function has two x-intercepts that means:

D > 0

b² - 4ac > 0

On comparing:

a = 3

b = 7

c = m

7² - 4(3)(m) > 0

49 - 12m > 0

12m < 49

m < 49/12

Or

m ∈ (-∞, 49/12) for which graph of a function have two x-intercepts

Thus, the values of m < 49/12 the equation of the function y = 3x² + 7x + m have two x-intercepts option (C) m < 49/12 is correct.

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Answer:

lol is this possible i tried doing it but couldnt haha i googled it and well it said 2.6532977e+40

Step-by-step explanation:

Answer:

2.65329771×10 to the power of 40

Step-by-step explanation:

Use scientific notation to get the simplest answer

Answer:

Step-by-step explanation:

(x,y) = (48/7, -22)

Answer:

= -14

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(2x+4)=5x−2

(3)(2x)+(3)(4)=5x+−2(Distribute)

6x+12=5x+−2

6x+12=5x−2

Step 2: Subtract 5x from both sides.

6x+12−5x=5x−2−5x

x+12=−2

Step 3: Subtract 12 from both sides.

x+12−12=−2−12

x=−14

Answer:

The two pairs of alternate interior angles are CHG and HGB and DHG and HGA.

mCHG  =  mHGB  =  48.81°

mDHG  =  mHGA  =  131.19°

The two pairs of alternate exterior angles are EHC and BGF and EHD and AGF.

mEHC  =  mBGF  =  131.19°

mEHD  =  mAGF  =  48.81°

Step-by-step explanation:

STRAIHGT FROM PLATO BOOOOIIIIII

Answer:

I believe the answer is positive

Step-by-step explanation:

There's no specific type of integer, but whole numbers are integers but also only positive. So positive integers

Answer:

r = 18

Step-by-step explanation:

6 + 1.30r = 29.40 [write out the equation]

-6 -6 [subtraction property of equality]

1.30r = 23.40

___ ____ [division property of equality]

1.30 1.30

r = 18

I hope it helps :)

Answer:

6 + 1.30r = 29.40

Step-by-step explanation:

Answer:

x-(-0.9)

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation::3*x+7*x-(9-18)=0

Solve::10x+9 = 0

Subtract 9 from both sides of the equation::10x = -9

Divide both sides of the equation by 10::x = -9/10 = -0.900

Answer:

Step-by-step explanation:

3x+7x=9-18

10x = -9

x = -9 / 10

x = -0.9

Answer:

Part 1

its asking you to find the slope of the given lines by using the points that they have plotted on the lines

first you need to figure out what the points are, then insert it into the formula

the formula for this would be [tex]\frac{Y2- Y1}{X2-X1}[/tex]

Part 2:

its asking you to find the slope using the points that are written in each box

again, just substitute it into the formula

the formula for this would be [tex]\frac{Y2- Y1}{X2-X1}[/tex]

Answer:

2 1/2 per piece

Step-by-step explanation:

Answer:

Group 4

Step-by-step explanation:

Group 4 is the only group that has any numbers. And Group 2 the range is not big at all.

Was this the question or did you make a mistake with the numbers?

The mathematical expressions are given as

1 of 4 = 1 x 4

2 of 4 = 2 x 4

3 of 4 = 3 x 4

4 of 4 = 4 x 4

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

In the verbal sentence, the meaning of using of indicates the multiplication of numbers.

The mathematical expressions will be used as:-

1 of 4 = 1 x 4

2 of 4 = 2 x 4

3 of 4 = 3 x 4

4 of 4 = 4 x 4

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Answer:

1) slope is -1/3

2) slope is 3 or 3/1

3)slope is -3/2

4)slope is3/2

5)slope is 5/3

6)slope is 7/3

Step-by-step explanation:

Answer:

4+12+20=j

3+9+15=m

j(answer) + m(answer)

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

[tex]3x - 4(2x - 5) = \\ 3x - 8x + 20 = \\ - 5x + 20 = \\ 20 - 5x = > \: true[/tex]

Answer:

true

Step-by-step explanation:

3x -4(2x-5)

3x-8x+20

5x+20

Answer:14

Step-by-step explanation:

X-6=8

+6. +6

X=14

Answer:

384

Step-by-step explanation:

No. of students in the club last year = 320

No. of students in the club this year increased by 20%

To find the actual increase, 20% is multiplied by the number of students in the club last year which is 320 and to find the number of students in the club this year add the answer to 320 (the number of students in the club last year)

That is,

= 20% * 320

= 20/100 * 320

= 64

Finding the number of students in the club this year

320 + 64 = 384 students

NOTE : Increase means addition that is why the number of students in the club last year is added to the actual increase

The mean of the data is 8.

Given data are,

                    [tex]8,7,5,9,6,13[/tex]

Mean is computed as divide the sum of all data by total number of data.

Sum of all the data[tex]=8+7+5+9+6+13=48[/tex]

Number of data[tex]=6[/tex]

             [tex]Mean=\frac{48}{6}=8[/tex]

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If the sum of 5 and x is 20, then the value of x will be 15.

It is given that the sum of 5 and x is 20.

Mathematically, it can be written as:

5 + x = 20

We have to find the value of x.

In order to find the value of x we need to separate the variable and constant.

For this, subtract 5 from both the sides:

5+x-5 = 20-5

5-5 +x = 20-5

Then, solve the operation of subtraction on both the sides of above equation.

0+x = 15   -------(A)

Since, when we add 0 to any quantity, the result will be this quantity itself.

So, 0+x = x -------(B)

From (A) and (B), Sine the left sides of equation (A) and (B) are equal, then the right sides will also be equal.

Equation right sides of (A) and (B). We have:

x = 15

Hence, the value of x is 15.

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Answer:

x= 1.6 degrees

Step-by-step explanation:

to find the missing angle 180 degrees - 151 degrees

29° is the missing angle at the bottom ryt of the triangle.

all angles in triangle add upto 180°

so, 20x-3°+11x-1°+29°= 180°

31x=180°-25°

x= 1.6°

A polygon with three edges and three vertices is called a triangle.

x=1.6° is its value.

Based on the lengths of its sides, triangles can be categorized into one of three groups: Scalene. Isosceles. Equilateral.

The trigon, a 3-sided polygon, is sometimes (though not often) referred to as a triangle. Every triangle has three sides and three angles, some of which might be the same.

The triangle's angles are created by joining its three sides end to end at a single point. The sum of the three angles of the triangle is 180degrees.

To identify the omitted angle between 180 and 151 degrees

The triangle's bottom right corner lacks a 29° angle.

triangle's angles sum up to 180°

so, 20x-3°+11x-1°+29°= 180°

31x=180°-25°

x =1.6 degree

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Answer: Online

Step-by-step explanation:

Find the unit price

(multiply 12.51 and 20.70 by 100 to make it easier to divide)

12.51 divided by 3 = 417

20.70 divided by 5 = 414

Hope this helps!

Answer:

(12 * 4) + 4x / 4

Step-by-step explanation:

Answer:

Slope= -2

y-intercept= 5

Step-by-step explanation:

Answer:

[tex]x > 1[/tex]

x is greater than 1

Answer:

1.) 15-3-2=x

2.) He can buy 3 sodas

Step-by-step explanation:

1.) 15 is how much he has, -3 is the price of the popcorn, -2is the price of the soda. =x is what needs to be solved in the equation (its 10 if you need the answer)

2.) He can buy 3 sodas because 3 boxes of popcorn is $9 since one box is $3,  he has $15 you take away $9 and you are left with $6 and 6 divided by 2 is 3.

Answer:

b = 0

Step-by-step explanation:

Subtract 6 from both sides:

4b = 2 - b - 2

Subtract 2 from two, and get 0.

4b = -b

this means that the only possible case where the equation is satisfied is when b = 0, because -0 is 0, and 4x0 is still 0.