Can someone help me with this math problem

Answer:

[tex]Average\ Rate = 10[/tex]

Step-by-step explanation:

Given

[tex]g(x) = -x^2[/tex]

[tex](-8,-2)[/tex]

Required

Determine the average rate of change;

Average rate of change is calculated as thus;

[tex]Average\ Rate = \frac{g(b) - g(a)}{b - a}[/tex]

Where

[tex](a,b) = (-8,-2)[/tex]

i.e. a = -8 and b = -2

[tex]Average\ Rate = \frac{g(b) - g(a)}{b - a}[/tex] becomes

[tex]Average\ Rate = \frac{g(-2) - g(-8)}{-2 - (-8)}[/tex]

[tex]Average\ Rate = \frac{g(-2) - g(-8)}{-2 + 8}[/tex]

[tex]Average\ Rate = \frac{g(-2) - g(-8)}{6}[/tex]

Calculating g(-2)

Substitute -2 for x in [tex]g(x) = -x^2[/tex]

[tex]g(-2) = -(-2)^2[/tex]

[tex]g(-2) = -4[/tex]

Calculating g(-8)

Substitute -8 for x in [tex]g(x) = -x^2[/tex]

[tex]g(-8) = -(-8)^2[/tex]

[tex]g(-8) = -64[/tex]

Substitute values for g(-2) and g(-8)

[tex]Average\ Rate = \frac{g(-2) - g(-8)}{6}[/tex]

[tex]Average\ Rate = \frac{-4 - (-64)}{6}[/tex]

[tex]Average\ Rate = \frac{-4 + 64}{6}[/tex]

[tex]Average\ Rate = \frac{60}{6}[/tex]

[tex]Average\ Rate = 10[/tex]

Hence, the average rate of change is 10

Answer:

1st circle: 1.25

Second circle: 2

Step-by-step explanation:

We can use the cross product property here to find the value of what's in the circles.

Let's first look at the first two fractions.

[tex]\frac{x}{5} = \frac{1}{4}[/tex]

We can multiply the cross values and divide by the number that is diagonal to the variable.

[tex]5\cdot1 = 5\\5\div4 = 1.25[/tex]

So 1.25 goes in the first circle.

Now let's look at the last two circles and use the same property to find the missing value.

[tex]\frac{1}{4} = \frac{0.5}{x}\\ 4\cdot0.5 = 2\\2\div1 = 2[/tex]

So 2 goes in the second circle.

Hope this helped!

Answer:

x = 5/4

Step-by-step explanation:

Use the variable 'x' instead of 'the circle.'  Then:

 x         1

----- = ------

 5         4

Cross-multiplying, we get

4x = 5, and so x = 5/4

Answer:

998

Step-by-step explanation:

I haven't included the 1 or the 1000

Answer:

There are 200 numbers between 1 and 1000  that do not contain the digits 8, and 9.

Step-by-step explanation:

1-100

=(8,9,18,19,28,29,38,39,48,49,58,59,68,69,78,79,88,89,98,99)=20

101-200

=(108,109,118,119,128,129,138,139,148,149,158,159,168,169,178,179,188,189,198,199)=

201-300=20

.......

100*10=1000

20*10=200

Answer:

y = 10x + 20

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

Step 1: Find slope m

m = (20 - 10)/(0 - -1)

m = 10/(0 + 1)

m = 10/1

m = 10

y = 10x + b

Step 2: Find y-intercept

(0, 20) is y-int from graph

Step 3: Plug into form

y = 10x + 20

Answer:

they are both the same thing the first one with kara is in numbers and with raul it is in words

Step-by-step explanation:

hope i helped and have a great day :)

Answer:

The circle has radius = 9 units, and its equation is:

[tex]x^2+y^2=81[/tex]

The parabola has equation of the form:

[tex]y=a\,x^2+9[/tex]

with [tex]a[/tex]  being a positive number

Step-by-step explanation:

Given the characteristics of the two figures (circle and parabola) as described,

since the parabola intersects the circle at a single point (it vertex) then the radius of the circle centered at the origin must be 9. that makes the equation of the circle to have the following standard form;

[tex]x^2+y^2=9^2\\x^2+y^2=81[/tex]

Since there is no other info regarding the parabola, the most one can say about the equation of the parabola, is that in vertex form, the parabola's equation must be of the form:

[tex]y=a\,(x-x_{vertex})^2+y_{vertex}\\y=a\,(x-0)^2+9\\y=a\,x^2+9[/tex]

with [tex]a[/tex]  being a positive number.

Answer:

19

Step-by-step explanation:

JH = 47 (70 - 23)

HM = 23

MK = 19 (42 - 23)

KU = 34 (81 - 47)

UC = 7 (47 - 40)

CN = 40

Answer:

19

Step-by-step explanation:

HM + MK = HK

23 + MK = 42

Subtract 23

MK = 42-23

MK =19

Answer:

see the picture below

Step-by-step explanation:

There is 19, 13, 8, 4, 7, 14, 7, 9.

There is 1 number between 0 and 5.

and there's 4 on between 6 to 10.

and so far.

Step-by-step explanation:

Taller bars show that more data falls in that range.

19, 13, 8, 4, 7, 14, 7, 9 stay in order = 1,2,3,4,5,6,7,8

Add 2 more months to make 8 months

Then go vertical if using this histogram so that numbers of feathers above are vertical shaped bars.  |--------------| stacked on top of each other.

Or///

Copy the diagram and swap the names ie) months so they go at the bottom and feathers go along the side axis.

Answer: 11x - 8y = -9

Step-by-step explanation:

Subtract it by terms.

8x - (-3x) = 11x  

-4y - (4y) = -8y

-4-5= -9    

order it

11x - 8y =-9

Answer:

Solution: (-4,-3)

Step-by-step explanation:

We need to complete the solution set of given graph.

We are given two graph one straight line and one parabola. We can see in graph both intersect at two points.

At x=-4 and x=-1

We can easily find the value of y corresponding to the value of x using given graph.

At x=-4,

First we draw a vertical line at x=-4 and see where it cut graph. From that point draw a horizontal line and see where y-axis cut.

The value of at x=-4 would be -3

Please see the attachment and see the vertical and horizontal line.

Thus, The Solution is (-4,-3)

Answer: -7

Step-by-step explanation:

Answer:

8.48

Step-by-step explanation:

After removing the perfect square inside √72 we get,

6√2

The given square root is,

√72

Since we know that,

A perfect square is a number that is stated as the product of an integer multiplied by itself. The perfect square is also represented as the second exponent of an integer since the same number is multiplied twice. The squares of all integers are hence referred to as perfect squares.

Simplify the square root of 72.

Factor 72 into 36 and 2,

Giving us the square root of 36 times the square root of 2.

Therefore,

√72 = √36 x √2

We know that the square root of 36 is 6,

So we can substitute that in:

√72 = 6 x √2

Hence after removing the perfect square inside √72 we get,

6√2.

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Answer:

1/4 was eaten by mama and Baby also ate 1/4

Step-by-step explanation:

goldilocks got 0/4

if papa ate half and baby and mama each ate 1/4 they equal up to 2/4 which is 1/2

papa ate 1/2 and 1/2+1/2=1

Mama bear ate (1/4)a part of pie and the (1/8) fractional part was left for Goldilocks.

The fraction is a rational number that simply divides two numbers and is written in the form a/b where a is called the numerator and b is called the denominator.

Let the full part of the pie is a.

Papa bear ate 1/2 part of the pie.

Then papa bear ate = (1/2)a

rest of the pie is= a- (1/2)a= (1/2)a

Mama bear ate (1/2) of the rest of the pie.

so mama bear ate = (1/2)(1/2)a= (1/4)a part of pie
rest of pie after mama bear ate = (1/2)a- (1/4)a= (1/4)a

Then baby bear ate (1/2) of the rest of the pie.

so baby bear ate = (1/2)(1/4)a= (1/8)a part of pie
rest of pie after baby bear ate = (1/4)a- (1/8)a= (1/8)

The rest of the part was left for GoldLiocks.

Therefore mama bear ate (1/4)a part of pie and the (1/8) fractional part was left for Goldilocks.

Learn more about fraction

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Answer:

see explanation

Step-by-step explanation:

The line x = - 2

Is a vertical line parallel to the y- axis

It passes through all points with an x- coordinate of - 2

Answer:

B

Step-by-step explanation:

This is the correct answer.

From The diagrams shown here, the option that does not fully define a translation is B.

In mathematics, this is another word for a transformation. What the translation does is that it helps to move a shape in different ways without altering the appearance of the shape.

The translation in this question is option B given the definition that we have above.

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Answer: Two separated circles, one called X and the other called Y.

(so there is no element of the set X that is also in the set Y)

Step-by-step explanation:

"No X are Y"

This means that there is not a single element in the set X that is also in the set Y.

So in an Euler diagram, you can represent this as two circles, one called Y and other called X, where the circles do not intersect or touch at any point.

This particular case is represented similarly to how you would represent it in a  Venn diagram

Answer:

6/7

Step-by-step explanation:

First, find two points that fall on the line and are coordinates on the graph.

The two points I found were (3,5) and (10,11).

Use the slope formula to come up with the slope.

[tex]slope = \frac{change in y}{change in x}[/tex]  

slope = [tex]\frac{11-5}{10-3}[/tex] = [tex]\frac{6}{7}[/tex]

Answer:

7^8

Step-by-step explanation:

Answer:7^8

Step-by-step explanation:

Answer:

{16, +infinity}

Step-by-step explanation:

Represent the number with n

Required

Find the solution set

From the question, we have that;

4½n - 9½ > 62.5

Convert all numbers to decimal

4.5n - 9.5 > 62.5

Add 9.5 to both sides

4.5n - 9.5 + 9.5 > 62.5 + 9.5

4.5n > 72

Multiply both sides by 2

2(4.5n) > 72 * 2

9n > 144

Multiply both sides by ⅑

⅑ * 9n > 144 * ⅑

n > 16

This implies that n ranges to infinity from positive 16;

Hence, the correct answer is {16, +infinity}

Answer:

80

Step-by-step explanation:

0,   3,   8,   15,   24,  35,   48,   63,  80 which is the nth term

first step you have to find how many steps the sequence was going with.

examples= from 0 to 3 the steps were 3

                =from 3 to 8 the steps were 5

                = from 8 to 15 the steps were 7

you will recognize that the steps the sequence is going with is odd numbers.

so you will use the odd numbers until you find what you need. which leads you to 80 which is the nth number in the sequence.

Answer:

80

Step-by-step explanation:

the above photos is the solution

I am sure the answer is D

Answer:

D 100

Step-by-step explanation:

60% = 60/100

70% =70/100

Answer:

6/8 of a mile,

Step-by-step explanation:

if one furlong is 1/8 of a mile, the 6 shall be 1/8 added to itself 6 times, therefore it shall be 6/8.

Answer:

3/4 of a mile

Step-by-step explanation:

1 furlong = 1/8 mile

========     ====

6 forlongs = x

cross multiply

1*x = 6 * (1/8)

x = 6/8

reduce 6/8. Divide top and bottom by 2

x = 3/4

Answer:

[tex]y=\dfrac{3}{2}x\ ...(i)\\\\ z=\dfrac{5}{2}x\ ...(ii)\\\\ z=x+y\ ....(iii)[/tex]

Step-by-step explanation:

Let x be the amount of dough required for small pizza, y be the amount of dough required for medium pizza and z be the amount of dough required for large pizza.

As per the question , we have

[tex]y=\dfrac{3}{2}x\ ...(i)\\\\ z=\dfrac{5}{2}x\ ...(ii)\\\\ z=x+y\ ....(iii)[/tex]

Hence, the equation for the question with the variable representing the amount of dough needed for small pizza.

[tex]y=\dfrac{3}{2}x\ ...(i)\\\\ z=\dfrac{5}{2}x\ ...(ii)\\\\ z=x+y\ ....(iii)[/tex]

Answer:

[tex]\large \boxed{\mathrm{2 \ meters}}[/tex]

Step-by-step explanation:

The triangle formed is a right triangle.

We can use trig functions to solve.

The maximum length of the seesaw is the length of the hypotenuse of the triangle.

sin θ = opp/hyp

Let x be the hypotenuse length.

sin 30 = 1/x

x = 1/sin30

x = 2

The maximum length of the seesaw is 2 meters.

Answer:

2

Step-by-step explanation:

Take the right triangle formed by the seesaw.

Let x be the maximum heigth that we are looking for

● sin 30° = 1/x

Switch x and sin 30°

● x = 1 /(1/2)

● x = 1 ×(2/1)

● x= 1×2

● x = 2

Answer:

A=[tex]\frac{a+b}{2} (h)[/tex]

Step-by-step explanation:

Option first, option second, and option fourth are correct this expression is equivalent to the formula for a trapezoid.

It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.

The options are:

We have a formula for finding the area of the trapezoid:

[tex]\rm A= \dfrac{1}{2}h(b_1+b_2)[/tex]

Make a subject h and solve for h:

[tex]\rm \dfrac{2A}{(b_1+b_2)}= h[/tex]

or

[tex]\rm h = \dfrac{2A}{(b_1+b_2)}[/tex]

[tex]\rm b_2 = \dfrac{2A}{h}- b_1[/tex]

[tex]\rm b_1 = \dfrac{2A}{h}- b_2[/tex]

Thus, option first, option second, and option fourth are correct this expression is equivalent to the formula for a trapezoid.

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Answer:

2

Step-by-step explanation:

Use PEMDAS

First simplify the exponent (9)

Next multiply 5 and 3 (15)

Now add 15 and 15 (30)

Add 9 and 6 (15)

Lastly simply 30 by 15 (2)

Answer:

[tex]\boxed{A. 2}[/tex]

Step-by-step explanation:

Hey there!

Well we first need to solve the top part.

15 + 5 * 3

5*3 = 15

15 + 15 = 30

3^2 + 6

3*3 = 9

9+6 = 15

Now we have 30 ÷ 15 = 2.

Hope this helps :)

Answer:

[tex]\sqrt[5]{y^3}[/tex]

Step-by-step explanation:

[tex]y^{3/5}[/tex] is simply [tex]\sqrt[5]{y^3}[/tex]

Answer:

Hey there!

The graph has a y-intercept of (0,5), and increases with a common ratio of 5. (For example, it increases from 3, 15, 75, and the common ratio is 5.  

Hope this helps :)