Using Equations to Compare Linear Functions
Consider the function and its inverse:
f(x) =
) = x -2
-(x) = (x + 2)
The slope, a, of the inverse function is
and the x-intercept of the inverse function is at x =
Intro

Answer:

See bolded below

Step-by-step explanation:

Our first clue is that Baker is a girl, as this person was referred to as a she. Now she claims to have been placed higher if she didn't eat that blueberry pie, which means she is not first place. Our second clue is that Patrick ranked higher than Davis but lower than Natalie. Patrick and Davis are first and last names, which means they do not go together. And of course Davis is lower than Natalie. Coaster's father was proud of her daughter's ability to eat so much pie, so Coaster must be a girl's last name. There are only two girls, Analee and Natalie, so Coaster should be one of their names. This girl Coaster must have ranked first place. Analee ranked lower than Adam. If this is true, it should be that Natalie is associated with Coaster, considering she is the only girl that could have ranked first place! Lastly, Conner didn't rank last place;

[tex]Baker - she, Baker - Not 1st\\Patrick \neq Davis, Patrick > Davis, Patrick < Natalie,\\Natalie Coaster - 1st Place,\\Analee Baker[/tex]

Thus, we can conclude the following;

Natalie Coaster - 1st Place,

Patrick Adams - 2nd Place,

Analee Baker - 3rd Place,

Connor Davis - 4th Place

Answer:

[tex] \boxed{- 12 {s}^{2} + 11st - 2 {t}^{2} } [/tex]

Step-by-step explanation:

[tex] = > ( - 3s + 2t)(4s - t) \\ \\ = > - 3s(4s - t) + 2t(4s - t) \\ \\ = > ( ( - 3s) \times 4s )- (( - 3s) \times t) + (2t \times 4s) - (2t \times t) \\ \\ = > - 12 {s}^{2} - ( - 3st) + 8st - 2 {t}^{2} \\ \\ = > -12 {s}^{2} + 3st + 8st - 2 {t}^{2} \\ \\ = > - 12 {s}^{2} + 11st - 2 {t}^{2} [/tex]

Step-by-step explanation

The first answer is 7.85m²

the second answer would be 25.71m²

Answer:

19.8

Step-by-step explanation:

You have to first put the numbers into ascending order:

8.4, 9.3, 11.4, 18.5, 19.6, 20, 26.1, 32.3, 44.1, 46.41.

Because there is an even amount of numbers, you end up with 19.6 and 20.

The in between of 19.6 and 20 is 19.8.

(You can work this out by adding the two numbers together and then dividing by two if you have to.)

Answer:

The answer is b.

Step-by-step explanation:

First separate it into two inequalities.

85<17m and 17m<136

For the first one,

Divide both sides by 17.

5<m

For the second one,

Divide both sides by 17.

m<8.

Therefore, 5<m and m<8. It is and not or because the compound inequality lists them together, not with an or separating it.

Hope this helped.

Hence, [tex]5 < m[/tex] and [tex]m < 8[/tex] is the correct option i.e., (B)

What is the inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Here given that,

The solution to the compound inequality [tex]85 < 17m < 136[/tex].

Now,divide both sides by [tex]17[/tex].

[tex]\frac{85}{17} < \frac{17m}{17} < \frac{136}{17}\\\\5 < m < 8[/tex]

Hence, [tex]5 < m[/tex] and [tex]m < 8[/tex] is the correct option i.e., (B)

To know more about the inequality

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Answer:

WAY BELOW...

Step-by-step explanation:

So first look at the base. It is an octagon.

Look at the answers now. You can eliminate the ones that don't have triangles, and you have two pyramids. One has a hexagon base and one has a octagon base.

That's the answer.

Answer:

Hey!

Your answer is BELOW!!!

Step-by-step explanation:

HOPE THIS HELPS!!

Answer:

A

Step-by-step explanation:

36.4 + 3.6 = 40

45.5+4.5 = 50

Answer:

100 (+1) x 2^t     = 100 (+2et) as we plus and we multiply before squaring the years.

Step-by-step explanation:

You cna now work this out as +1 represents the 100% + 200% sum.

Answer:

C) [tex] A = 100e^{2t} [/tex]

Step-by-step explanation:

Continuous growth:

[tex] A = Pe^{rt} [/tex]

r = rate as a decimal

r = 200% = 2

P = initial value = 100

[tex] A = 100e^{2t} [/tex]

Answer: 49.12 ft²

Step-by-step explanation:

To find the area of this figure, we can separate it into 2 parts. We can find the area of the semi circle and the area of the triangle. Then we add together to areas.

Area of Triangle

A=bh/2

A=6(8)/2

A=48/2

A= 24 ft²

Area of Semi Circle

A=πr²/2  (Divide by 2 because semi circle is half of a circle, so we divide the area by 2)

A=π(4)²/2

A=(3.14)(16)/2

A=25.12 ft²

Total area

A=24+25.12=49.12 ft²

Answer:

3.5

Step-by-step explanation:

35% is only 0.35

Answer:

3.5

Step-by-step explanation:

Answer:

220 meters=22000 centimeters

Step-by-step explanation:

Hope this helps!!! :)

Answer:

6.25%

Step-by-step explanation:

Percent error is calculated by taking the difference of measured value and correct value divided by correct value and multiplied by 100%.

Mathematically,

Percent error = (correct value - measured value)/correct value  * 100%

_________________________________________________

in the problem given

measured value = 75 degrees Celsius

correct value = 80 degrees Celsius ( as given in reference book)

thus,

Percent error = (80 - 75)/80 * 100%

Percent error = (5/80 )* 100% = 6.25%

Percent error calculated by him is  6.25%.

We will see that the percent error in Joshua's measure is:

Pe = 6.25%

The percent error for a measure is computed as:

[tex]P_E = (\frac{A - M}{A})*100 \%[/tex]

Where A is the accepted value and M is the measured value.

Here we have:

A = 80°C

M = 70°C

Replacing that we get:

[tex]P_E = (\frac{80 \°C - 75 \°C}{80 \°C})*100 \% = 6.25 \%[/tex]

So we can conclude that the percent error is 6.25%

If you want to learn more about percent error, you can read:

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Answer:

C. One right angle, one acute angle, one obtuse angle  

Step-by-step explanation:

A triangle is a closed geometrical figure. It is an enclosed figure with three sides and three angles. The sum of the angles of a triangle is 180°. A triangle can be formed with three acute angles. A triangle can be formed with one right angle and the other two being acute angles. A triangle can be formed with one obtuse angle and the other two being acute angles. A triangle cannot be formed with one right angle, one acute angle, one obtuse angle.

Answer:

33 sq in

Step-by-step explanation:

Area of each triangular face is 1/2×3×4 = 6sq in

Hence total area of four(4) faces is 6×4 = 24sq in

Area of base is 3×3 = 9sq in

Hence Total area of pyramid is 24+9 = 33sq in

Answer:

26

Step-by-step explanation:

the first prism is 2 times 4 which is 8, the second is 3 times 2 which is 6, the third is 3 times 4 which is 12. 8 plus 6 plus 12 is 26.

By decomposing the figure into simpler shapes, we will see that the area is 26 square centimeters.

Remember that for a rectangle of length L and width W, the area is:

A = L*W

Now, let's look at the figure, we want to find the area of the front face. We can decompose the front face into simpler figures.

These are (reading from left to right).

So the total area of the front face is equal to the sum of the areas of the 3 rectangles, then the total area is:

A = (2cm*4cm) + (3cm*2cm) + (3cm*4cm) = 26 cm²

If you want to learn more about area:

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Answer:

(11/3)*pi

Step-by-step explanation:

what circle is how bigger?

360/110=36/11

11pi*(36/11)

36pi

radius is 6 (A=r^2*pi)(36 is 6^2)

circumference of a circle is 2pi*r

2pi*6

12pi

what fraction of the circumference is 110?

110/360=11/36

9132/36)*pi

(11/3)*pi

Step-by-step explanation:

Answer is;−

9

x

−

2

−

2

x

3

−

3

x

2

+

x

+

3

Simplify by adding terms.

Tap for more steps...

x

3

+

2

x

2

−

8

x

+

1

Answer:

B. A = 96 cm2

Step-by-step explanation:

Answer:

There are 3 A's and 2 N's so the answer is B.

Answer:

2/5: 1/3:

6/15 5/15

Step-by-step explanation:

Sorry I couldn't upload a photo for some reason. If you multiply 2/5 by 3 you'll get 6/15, and if you multiply 1/3 by 5 you will get 5/15. I really hope this helps, and yes, I double-checked, it is correct. Have a great day!!!

Answer:

[tex]Range = [24, 375][/tex]

Step-by-step explanation:

Given

[tex]f(x) = 3x^3[/tex]

[tex]Domain = [2,5][/tex]

Required

Find the Range

The range is calculated by solving for f(2) and f(5). In other words, the range is calculated when x is 2 and x is 5

When x = 2;

f(2) is as follows;

[tex]f(2) = 3*2^3[/tex]

[tex]f(2) = 3 * 8[/tex]

[tex]f(2) = 24[/tex]

When x = 5;

f(5) is as follows;

[tex]f(5) = 3*5^3[/tex]

[tex]f(5) = 3 * 125[/tex]

[tex]f(5) = 375[/tex]

Hence, the range of the function is [24, 375]

Answer:

5 Tons

Step-by-step explanation:

Or 7,858.35 Pound sterling In Money Standards

Answer:

0.72 inch on the map.

Step-by-step explanation:

[tex]\frac{1.8}{2} =\frac{x}{0.8}\\x=0.9 \times 0.8=0.72 ~inch[/tex]

Answer:

1/4

Step-by-step explanation:

3 and 6 are both multiples of 3, so there is a 2/8 chance of spinning a multiple of 3, which can be simplified to 1/4.

Answer:

≈ 64.43 cm²

Step-by-step explanation:

Subtract the area of the circle from the area of the rectangle.

area of rectangle = 7 × 11 = 77 cm²

area of circle = πr² = π × 2² = 4π cm²

Thus

area of shaded region = 77 - 4π ≈ 64.43 cm² ( to nearest hundredth )

Answer:

The answer might be 64.43 CM. I hope this helps. Please tell me if you get it right or wrong.

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

75%=0.75

300/0.75 = 400

Answer:

400

Step-by-step explanation:

75/100 of x = 300

75x/100 = 300

Cross multiplying

75x = 30000

Dividing the both by 75

x = 400