write a function rule that relates r and t.
Input r: -2, 0, 2, 4, 6
Output t: 0, -1, -2, -3, 1

Answer:

y=-3x+5

Step-by-step explanation:

y²-y¹=gradient

x²-x¹

6-7=gradient

-3+6

-1/3=gradient

y-6/x+3=-1/3

y-6=-1/3(x+3)

y-6=-1/3x-1

y=-1/3x+5

Answer:

- 8x² - 40x - 50

Step-by-step explanation:

Begin by evaluating the inside, that is g(f(x))

Substitute x = f(x) into g(x), that is

g(f(x))

= g(2x + 5)

= (2x + 5)² ← expand using FOIL

= 4x² + 20x + 25

Now substitute x = 4x² + 20x + 25 into h(x)

h(4x² + 20x + 25)

= - 2(4x² + 20x + 25) ← distribute parenthesis by - 2

= - 8x² - 40x - 50

Thus

h(g(f(x))) = - 8x² - 40x - 50

The equation of a straight line with gradient m passing through the origin is:

[tex]\displaystyle y=mx[/tex]

The line passes through the origin, so the y-intercept is [tex]0[/tex]

[tex]\displaystyle y=mx+b[/tex]

[tex]\displaystyle y=mx+0[/tex]

[tex]\displaystyle y=mx[/tex]

Answer: Hank hike 36 miles in 9 h.

6 hours for 24 miles

9 hours for x miles

[tex]Hank_{rate} =24/6=4\;mi/h[/tex]

[tex]x = Hank_{rate}\times Hours=4\;\frac{mi}{h} \times 9\;mi=36 \;miles[/tex]

Answer:

11. [tex]b = 30[/tex]

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

Substitute

[tex]16^{2} + b^{2} = 34^{2}[/tex]

[tex]256 + b^2 = 1156[/tex]

[tex]b^2 = 1156-256\\b^2 = 900[/tex]

[tex]b = \sqrt{900}[/tex]

[tex]b = 30[/tex]

Your welcome and don't forget to say Thanks

Answer:

a

Step-by-step explanation:

Radical roots occur as conjugate pairs

Given - 5 + [tex]\sqrt{3}[/tex] t is a root , then

- 5 - [tex]\sqrt{3}[/tex] t is also a root → a

Answer: C

Step by step explanation-

Answer:

A

Step-by-step explanation:

It is consistent dependent system , since:

inconsistent has no solutions

consistent independent has one solution,

while...

consistent dependent means that two linear functions are merged into a single line, and they always cross, giving an infinite number of solutions to the linear system

Answer:

365cm^2

Step-by-step explanation:

Answer:

365cm ^2

I think

Answer:

A

Step-by-step explanation:

took it on ap ex

The correct ordered pairs which are found on the inverse function are,

⇒ (-10, -2), (-3, -1), (-2, 0),(-1, 1), (6, 2)

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

We have to given that;

The graphed function are shown in figure.

Now, All the points on the graph are,

⇒ (- 2, - 10) , (- 1, - 3) , (0, - 2) , (1, - 1) , (2, 6)

Hence, The correct ordered pairs which are found on the inverse function are,

⇒ (-10, -2), (-3, -1), (-2, 0),(-1, 1), (6, 2)

Thus, ''Option A'' is true.

Learn more about the coordinate visit:

https://brainly.com/question/24394007

#SPJ7

______________________________

Hey!!

Solution,

Area= 12 ft^2

height= 3 ft

Now,

Area=b*h

or, 12=b*3

or,b=12/3

b=4 ft.

The value of base is 4 ft.

hope it helps

____________________________

Answer:

y= 3/4x-2

Step-by-step explanation:

y2-y1/x2-x1

7-1/12-4

m=6/8

m=3/4

now solve for b (y-intercept)

plug in any y or x from any point

7=3/4(12)+b

7=36/4+b

7=9+b

7=9+b

subtract nine on both sides

-2=b

thats how u get ur equation

Answer: -10

Step-by-step explanation:

-4 - 6 = -10

Answer:

3360

Step-by-step explanation:

By the Pythagorean Theorem, you know that:

[tex]C_1B_1=\sqrt{29^2-20^2}=\sqrt{841-400}=\sqrt{441}=21[/tex]

This means that the area of the triangular base is [tex]\dfrac{21\cdot 20}{2}=210[/tex]. Multiplying this by the height of the pyramid and dividing by 3, you get a volume of 3360. Hope this helps!

Answer:

D

Step-by-step explanation:

3x-4y=6

-4y=-3x+6

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

positive slope with y-intercept at -3/2 corresponds to D

Graph includes the points (0,-3/2) and (2,0). Therefore, option D is the correct answer.

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

The given linear equation is 3x-4y=6

Graph the line using the slope and y-intercept, or two points.

Slope: 3/4

y-intercept:

(0,-3/2)

Plot the points (0,-3/2) and (2,0)

Therefore, option D is the correct answer.

To learn more about the graph visit:

brainly.com/question/14375099.

#SPJ2

Answer:

It is more efficient to use order of operations because with the distributive property, you would have to multiply four times and add once (5 things to do), whereas with order of operations, you have to add twice and multiply twice (4 things to do).

Step-by-step explanation:

Answer:

A,17.1 in

Step-by-step explanation:

circumference of sphere=2πr

Beetle walks=πr=π×15=15π=15×3.14≈47.1 in

Ant walks=d=2r=2×15=30

difference=47.1-30=17.1 in

Answer:

Range = 3

Step-by-step explanation:

First, start off by ordering the list from least to greatest. Then, subtract the least number (0) from the greatest number (3), which will get you the range of 3.

Hope this helps! :D

__________________________________

Solution,

Cost of 5.5 ounces =$ 2.53

Cost of 1 ounce= 2.53/5.5

=$0.46

So the answer is $ 0.46

Hope it helps

Good luck on your assignment

_________________________________

Answer:

7

Step-by-step explanation:

Regular polygons have the same number of lines of symmetry as they do sides

Answer:

7 lines of symmetry

Step-by-step explanation:

If you draw a line from every intersection of the shape, you can get seven lines going through, which makes seven lines.

Answer:

Step-by-step explanation:

Starting off we have this information:

Gus has $75 (g = 75).

He can withdraw up to 200 dollars more than he has.

This is the tricky part: when they say "Made in overdraft" it can mean two things. 1. Any transaction made while already in overdraft, or 2. Any transaction made that puts him into over draft. I will provide answers for both.

Anyway, every time he purchases while in overdraft, he loses another $35.

He spends a total of $127 before overdraft fees.

He then gains $25 dollars.

So, for the first interpretation:

75-100-(27+35)+25 = $-62

For the second interpretation:

75-(100+35)-(27+35)+25 = $-97

Hope this helped.

Answer:

84

Step-by-step explanation:

We can represent the money Emily has as x, and the money Juan as j.

x  = j + 19

Substituting 65 for j we get

x = 65 + 19

x = 84

Answer:

b<1            b>0

Step-by-step explanation:

7b<7

b<1

7b>0

b>0

Answer:

they are both money

Step-by-step explanation:

that's why they relate, they're both currency

Answer:

B

Step-by-step explanation:

I took the quiz

Answer:

[tex]10.6 \: m/s[/tex]

Step-by-step explanation:

Average speed = distance covered divided by the time taken.

[tex]S=\frac{d}{t}[/tex]

[tex]\frac{300}{28.22}[/tex]

[tex]=10.63075[/tex]

Answer:

10.63m/s

Step-by-step explanation:

distance traveled=s=300m

time taken=t=28.22s

average speed=v=?

average speed=[tex]\frac{distance covered}{time taken}[/tex]

average speed=[tex]\frac{300m}{28.22s}[/tex]

average speed=10.63075m/s

now in the question it is said that round to 4 significant figures so will write only first four digits

average speed=10.63m/s

Answer: Mary is cheaper than mike

Step-by-step explanation:

Hopes this Helps

Answer:

480

Step-by-step explanation:

The ratio of odd ood is 12/50. Divide 2000 by 500 to get the amount you need to multiply by (40). 12 *40=480

Answer:

D

Step-by-step explanation:

The domain is the x coordinates which are {-2,0,2}

Answer:

D = { -2, 0 2}

R = { -3,-1 ,1 }

Step-by-step explanation:

The domain is the input or x values

D = { -2, 0 2}

The range is the output or y values

R = { -3,-1 ,1 }