The table of values represents a polynomial function f(x)
x f(x)
4 358
5 690
6 1178
7 1852
8 2742
9 3878
How much greater is the average rate of change over the interval [6,8] than the interval [5,7]?

Answer:

To solve your inequality using the Inequality Calculator, type in your inequality like x+7>9. The inequality solver will then show you the steps to help you learn how to solve it on your own.

Step-by-step explanation:

[8] The hypotenuses must be congruent, DE and IJ

     HL is hypotenuse-leg, or where the hypotenuse and one leg are congruent.

     Since we see a leg is congruent, to prove they are congruent with HL we will need to know that the hypotenuses are congruent.

[9] Another leg, AC and YX

     LL is leg-leg. Since we have one leg, we will need the other leg to prove the triangles are congruent by LL.

[10] A leg, DE and E? or FE and E?

     LA means leg-angle. The angles by point E are vertical angles, so they will be congruent. To finish prooving the congruence using LA we will also need a leg.

-> The question marks are because the letters are too blurry to read.

Step-by-step explanation:

both of a and b are correct but I don't know how...

Answer:

No

Step-by-step explanation:

No, because the rates are not the same for X and Y

Shelly would need 5 pounds of grass seed to plant in her backyard.

Area is the amount of space occupied by a two dimensional shape or figure.

From the image:

Area of the backyard = (10 + 15) * (10 + 20) = 750 ft²

Area of triangle = (1/2) * 10 * 10 = 50 ft²

Area of small rectangle = (25 - 20) * (30 - 15) = 75 ft²

Area of shaded part = 750 - 50 - 75 = 625 ft²

1 pound of grass seed covers 125 ft², for 625 ft²:

Amount of seed = 625 ft² * 1 pound per 125 ft²  = 5 pound

Shelly would need 5 pounds of grass seed to plant in her backyard.

Find out more on area at: https://brainly.com/question/25292087

Answer:

Step-by-step explanation:

Answer: See below

Step-by-step explanation:

The usage of passive income instead of collecting and saving your money without risking a loss through investments:

Passive income is money that you make without having to perform a lot of "active" work to keep it. In essence, you may complete the most of the work upfront and put in some extra effort along the secondary source of income.

Step-by-step explanation:

The answer is 33/5.

To multiply fractions, you multiply the numerators to get the numerator of the product and multiply the denominators to get the denominator of the product and then simplify the product. Also, you can make a whole number, which is 28 in this case, into a fraction by putting it over 1. So, that would be 28/1.

First, I multiplied the numerators:

4(11)(28)(9) = 11088

Next, multiply the denominators (and im assuming that last one is a 48, its a bit covered up by the mouse):

5(7)(1)(48) = 1680

So that's 11088/1680

Lastly, you simplify this to get 33/5 (I just used desmos scientific calculator for all of this)

Hope that helps :]

Answer:

385 miles

Step-by-step explanation:

Let's start by finding the unit rate (how far she can drive in 1 hour):

[tex]\frac{165mi}{3hr}[/tex]

Divide both the numerator and the denominator by 3 hours (Please note that this is essentially dividing the fraction by 1, so we are only simplifying the fraction, not changing it):

[tex]55mi/hr[/tex]

Now, using a unit converter, we can find out far she can drive in 7 hours:

[tex]7hr(\frac{55mi}{1hr})=7*55mi=385mi[/tex]

She can drive 385 miles in 7 hours

Answer:

225

Step-by-step explanation:

A = 5. 3A = 3(5) cubed. So 3 times 5 is 15. 15 cubed is 225.

The average rate of change is the slope.

The slope is equal [tex]\frac{y2-y1}{x2-x1}[/tex], if we were to do that for each set of points, we get the slope is always 8.

Thus the average rate of change is 8.

Answer:

F has the smalled minimum value

Step-by-step explanation:

Answer:

can you show a picture

Step-by-step explanation:

it depends on the situation and the problem but normally you would use the other numbers to figure out what number goes in "x"

Need more information to solve for x.

Answer:

Step-by-step explanation:

I don't know if this is what your looking for but the 38 cars that are 10 years old are 45.78 in percentage and the 5 cars that are more than 20 years are 6.02 in percentage.

(if you are asking how much more percentage to get from 6.02 to 45.78 its 39.76)

I really did not get the question but hope it help a bit.

Answer:

(A) 46% (B) 13%

Step-by-step explanation:

First we can find the percentage of cars that are at least 10 years old by dividing the amount that are 10+ years old by the total amount of cars

[tex]38/83= 0.45783[/tex]

when made into a percentage that is 46%

Now we can find the percentage of those cars that are 20+ years old by dividing the number of 20+ year old cars by our percentage

[tex]5/38=0.13157[/tex]

When made into a percentage That is 13%

Hope this helps! :)

Answer:

58º

Step-by-step explanation:

angles on a straight line = 180º

90 + 32 = 122

180 - 122 = 58

Answer:

Yamateh kudasai

Step-by-step explanation:

hope it helps

Answer:

the slope is m= 2/3

if you need it for y is y=2/3x-20/3

Answer:

You want to set up an equation that will match the word problem. Let's call the amount of the first brand, F, and the amount of the second brand, S.

We want the total mixture to be 310mL so: F + S = 310

Also, you want the total mixture to contain 8% vinegar so: .06F + .11S = .08(310)

Now, we can solve the system of equations using substitution.

F + S = 310

.06F + .11S = .08(310)

F = 310 - S      [solve 1st equation for F]

.06(310 - S) + .11S = .08(310)     [substitute into 2nd equation]

18.6 -.06S +.11S = 24.8

.05S = 6.2

S = 124

F + 124 = 310     [substitute answer for S back into original equation]

F = 186

Answer: To make a 310mL mixture that contains 8% vinegar, use 186mL of the first brand and 124mL of the second brand.

Answer:

B) a + 2(a - 3) = 15

Step-by-step explanation:

To see which equation has a = 7, we have to plug 7 into a each time until we find a satisfied equation.

A:

B:

Therefore, B is the correct answer.

Answer: Melissa's walking speed is 2mph. Her biking speed is 6mph

Step-by-step explanation:

Her total distance is 6 miles, because she walks 3 miles, and so the returning distance must also be 3.

Let her cycling speed (in mph) be x

Let her walking speed (in mph) be y

We know that x = y + 4

Since we know that S = D/T:

T = D/S

So her cycling time must be: T = 3/x

and her walking time must be: T = 3/y

since we know that x = y + 4, we can substitute this into her cycling time, and rewrite it as T = 3/y+4

we also know that 3/y+4 + 3/y = 2, because the problem says that the total time taken was 2 hours.

We simply need to solve this equation now:

3/y+4 + 3/y = 2

The LCD for y+4 and y is y² + 4y

so now we have:

(3y/y² + 4y) + (3y+12/y² + 4y) = 2

(6y + 12)/y² + 4y = 2

6y + 12 = 2y² + 8y

2y² + 2y - 12 = 0

Solve this using factoring:

2y² + 2y - 12 = 0

2(y² + y - 6) = 0

(y+3)(y-2) = 0

using ab = 0, then a or b =0:

y = -3, or y = 2

Since speed cannot be negative, our answer is 2 for y. So y, or the walking speed is 2mph. Since x = y + 4, we know that x = 6 mph

Melissa's walking speed is 2mph. Her biking speed is 6mph

Answer:

hello

Step-by-step explanation:

I'd put chemical or physical process in which rocks are worn down by in erosion and carrying away of soil rock and other materials in weathering.

Hope this helps

First of all find the total area and then subtract the area of circle from the area of rectangle, It will be easier that way...

[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]

[tex] \qquad \bf \implies \: area = length \times breadth[/tex]

[tex] \qquad \tt \blue\looparrowright \purple{area = 3 \times 4} [/tex]

[tex] \qquad \tt \blue\looparrowright \purple{area = 12 \: {cm}^{2} } [/tex]

[tex] \qquad \bf \implies \: area = \pi {r}^{2} [/tex]

[tex] \qquad \tt \red\looparrowright \green{area = \frac{22}{7} \times {1}^{2} } [/tex]

[tex] \qquad \tt \red\looparrowright \green{area = \frac{22}{7} \times 1} [/tex]

[tex] \qquad \tt \red\looparrowright \green{area = 3.14 \: {cm}^{2} } [/tex]

[tex] \qquad \bf \implies \: area =area \: of \: rectangle - area \: of \: circle[/tex]

[tex] \qquad \tt \pink\looparrowright \orange{area = 12 - 3.14 } [/tex]

[tex] \qquad \tt \pink\looparrowright \orange{area = 8.86} [/tex]

➪ Thus, The area of the shaded region is 8.86 cm²...~

[tex] \rm \color{lime}(2,10)[/tex]

step-by-step explanation:

[tex]\rm \color{lime}y = - {x}^{2} + 4x + 6[/tex]

[tex]\rm \color{lime}x = - \frac{4}{2x( - 1)} [/tex]

[tex]\rm \color{lime}y = - {x}^{2} + 4x + 6,x = 2[/tex]

[tex]\rm \color{lime}y = 10[/tex]

[tex] = \rm \color{hotpink} (2,10)[/tex]

hope it helps

Answer:

y = - (x - 2)² + 10

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

y = - x² + 4x + 6 ( factor out - 1 from the first 2 terms )

y = - (x² - 4x) + 6

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 4x

y = - (x² + 2(- 2) + 4 - 4) + 6

y = - (x - 2)² + 4 + 6

y = - (x - 2)² + 10 ← in vertex form

Answer:

n+(n-5)

=2n-5

n years Mary's age

n-5 years younger sisters age

Thanks!

Answer/Step-by-step explanation:

Given:

Maria is 5 years older than her younger sister.

If Maria will be n years after 7 years,

To Find:

Find their total age in terms of n.​

Solve:

n+(n-5)

n + n = 2n

2n -5

n -  years Mary's age

Therefore,  n-5 years younger sisters age

[RevyBreeze]

Answer:

2

Step-by-step explanation:

All sides of a rhombus are congruent

x = 3x - 12

-2x = -12

x = 6 (all sides = 6)

8 - y = 6

y = 2

Answer:

-5/2,-1/4

Step-by-step explanation: