The graph below represents the distance in miles (y)Jonathan travels on his bike in minutes (x). The table represents the distance in miles (y) Terrance travels on his bike in minutes (x) .

Answer: The fourth one

Step-by-step explanation:

Proportional relationships are relationships between two variables where their ratios are equivalent.

x : y

1 : 0.5

2 : 1

7 : 3.5

8 : 4

The unit ratio of this proportional relationship if x ratio y is 1 : 0.5

Hope this helped!

Answer:

x = - 12

Step-by-step explanation:

Since line with identical signs are parallel and a transversal is making right angle with one of the lines.

So,

[tex](x + 102 ) \degree= 90 \degree \\ \\ x + 102= 90 \\ \\x = 90 - 102 \\ \\ x = - 12[/tex]

that would be -1 happy halloween

Answer:

4

Step-by-step explanation:

-5,-4,-3,-2,-1,0,1,2,3, 4

Answer:

Step-by-step explanation:

first step

let's create the equation word problem

let's solve

let my mother's and sister's age be x and y respectively

according to the first condition,x=4y....(I)

according to the 2nd condition,x+5=2(y+5×2).....(ii)

so the system of linear equations is

x=4y

x+5=2(y+5×2)

gets from the second equation

x+5=2(y+10)

x+5=2y+20

4y+5=2y+20 (as x=4y)

2y=15

y=7.5

so the age of mother is

x=4.(7.5)

x=30

The equation of the function f(x) is: f(x) = log2(x − 2) + 2 option (B) f(x) = log2(x − 2) + 2 is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a parent function:

g(x) = log₂x

Transformation:

g(x) → g(x) + 2

G(x) =log₂x + 2

The function will shift upside by 2 units.

G(x) → G(x-2)

f(x) =log₂(x-2) + 2

The function will shift right side by 2 units.

Thus, the equation of the function f(x) is: f(x) = log2(x − 2) + 2 option (B) f(x) = log2(x − 2) + 2 is correct.

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Answer:The equation of the function f(x) is: f(x) = log2(x − 2) + 2 option (B) f(x) = log2(x − 2) + 2 is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a parent function:

g(x) = log₂x

Transformation:

g(x) → g(x) + 2

G(x) =log₂x + 2

The function will shift upside by 2 units.

G(x) → G(x-2)

f(x) =log₂(x-2) + 2

The function will shift right side by 2 units.

Thus, the equation of the function f(x) is: f(x) = log2(x − 2) + 2 option (B) f(x) = log2(x − 2) + 2 is correct.

Learn more about the function here:

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Step-by-step explanation:

Answer:

proportional                                            

Answer:1668.84

Step-by-step explanation:

Answer:

1668.84  

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

Answer:

x=6

.........,.............

Given: (a) [tex]2(x+3)=2x+6[/tex] and (b) [tex]4(y-3)=4y-12[/tex].

To find: The expanded form of the given expressions.

(c) [tex]4(m+n)=4m+4n[/tex]       (using [tex]a(b+c)=ab+ac[/tex])

(d) [tex]3(5-q)=15-3q[/tex]           (using [tex]a(b-c)=ab-ac[/tex])

(e) [tex]5(2c+1)=10c+5[/tex]          (using [tex]a(b+c)=ab+ac[/tex])

(f) [tex]3(2x-5)=6x-15[/tex]          (using [tex]a(b-c)=ab-ac[/tex])

(g) [tex]7(4b-1)=28b-7[/tex]          (using [tex]a(b-c)=ab-ac[/tex])

(h) [tex]3(2x+y-5)=3((2x+y)-5)[/tex]

⇒[tex]3(2x+y-5)=3(2x+y)-15[/tex]         (using [tex]a(b-c)=ab-ac[/tex])

⇒[tex]3(2x+y-5)=6x+3y-15[/tex]            (using [tex]a(b+c)=ab+ac[/tex])

(i) [tex]2(6a-4b+3)=2((6a-4b)+3)[/tex]

⇒[tex]2(6a-4b+3)=2(6a-4b)+6[/tex]         (using [tex]a(b+c)=ab+ac[/tex])

⇒[tex]2(6a-4b+3)=12a-8b+6[/tex]            (using [tex]a(b-c)=ab-ac[/tex])

(j)[tex]6(m+n+p)=6((m+n)+p)[/tex]

⇒ [tex]6(m+n+p)=6(m+n)+6p[/tex]           (using [tex]a(b+c)=ab+ac[/tex])

⇒ [tex]6(m+n+p)=6m+6n+6p[/tex]            (using [tex]a(b+c)=ab+ac[/tex])

(k) [tex]y(y+2)=y^2+2y[/tex]          (using [tex]a(b+c)=ab+ac[/tex])

(l) [tex]g(g-3)=g^2-3g[/tex]           (using [tex]a(b-c)=ab-ac[/tex])

(m) [tex]n(4-n)=4n-n^2[/tex]        (using [tex]a(b-c)=ab-ac[/tex])

(n) [tex]a(b+c)=ab+ac[/tex]           (using [tex]a(b+c)=ab+ac[/tex])

(o) [tex]s(3s-4)=3s^2-4s[/tex]        (using [tex]a(b-c)=ab-ac[/tex])

(p) [tex]2x(x+5)=2x^2+10x[/tex]     (using [tex]a(b+c)=ab+ac[/tex])

(q) [tex]4y(x-3)=4xy-12y[/tex]      (using [tex]a(b-c)=ab-ac[/tex])

(r) [tex]5a(2b-5)=10ab-25a[/tex]     (using [tex]a(b-c)=ab-ac[/tex])

(s) [tex]4a(3b+2c)=12ab+8ac[/tex]    (using [tex]a(b+c)=ab+ac[/tex])

(t) [tex]5p(4p-5q)=20p^2-25pq[/tex]    (using [tex]a(b-c)=ab-ac[/tex])

Answer:

A. shawn added 4 to both sides of the equation instead of subracting 4

Answer:

10%

Step-by-step explanation:

300/3000 × 100 = 10

hope this helps

x=3/2y + 2

I hope this helps

Could I have brainiest plz ;-;

Answer: 58 adults and 38 children went to the concert.

Step-by-step explanation:

Let x= adults , y= children

As per given ,

x+y = 96  (i)

3.75x+3.50y = 350.50     (ii)

Multiply 3.75 to (i) , we get

3.75 x + 3.75y  = 360  (iii)

Eliminate (ii) from (iii)

[tex]3.75 y-3.50y= 360-350.50\\\\\Rightarrow\ 0.25y= 9.5\\\\\Rightarrow\ y=\dfrac{9.5}{0.25}\\\\\Rightarrow\ y= 38[/tex]

put this in (i) ,  x+38 = 96

x= 96-38 = 58

So, 58 adults and 38 children went to the concert.

Answer:

59

Step-by-step explanation:

[tex]180=31+90+x\\\\180=121+x\\x=180-121\\x=59[/tex]

using sum of angles in a triangle

Step-by-step explanation:

Let the missing angle be ' x ' .

Now, Set up an equation and solve for x

[tex] \tt{x \degree + 90 \degree \: + 31 \degree = 180 \degree}[/tex] { Sum of angles of a triangle }

⇢ [tex] \tt{x \degree + 121 \degree = 180 \degree}[/tex]

⇢ [tex] \tt{ \: x \degree = 180 \degree - 121 \degree}[/tex]

⇢ [tex] \tt{x \degree = 59 \degree}[/tex]

[tex] \red{ \boxed{ \boxed{ \text{Our \: final \: answer : \boxed{ \underline{59 \degree}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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Answer:

The sides of a central angle are two radii (aka radius) of the circle

Step-by-step explanation:

Answer:

Radii

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

if you dividde 24 by 20 you get 1.2 if you plug 1.2 into an inverse tangent calculator you get 50.19

The angle of elevation to the nearest degree of Juan's line of sight to the top of the tree is 50.19.

Trigonometric functions are the functions that include trigonometric identities such as sine, cosine, tangents, secant, and, cot.

Juan is looking up to the top of a tree that is 31 feet tall. He is standing 20 feet from the tree.

The angle of elevation to the nearest degree of Juan's line of sight to the top of the tree.

Tan Ф = perpendicular/ base

          = 24/ 20

Tan Ф  = 1.2

Ф  =[tex]( Tan )^{-1}1.2[/tex]

Ф  = 50.19

Learn more about trigonometric identities;

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Step-by-step explanation:

672+6=......+97

[tex]672 + 6 = x + 97 \\ x = 672 + 6 - 97 \\ x = 581[/tex]

none of the options.

Hope that was helpful.

Answer:

y = -1/3 -6

Step-by-step explanation:

y intercept is -6 because thats where the line hits the y intercept

the slope is -1/3 because of rise over run

Answer:

Cant answer without the polygons.

Step-by-step explanation:

To answer this question, I would need to see polygon GHJK and GHJK prime on a graph.

Answer:

-1

Step-by-step explanation:

Turn into slope-intercept form.

x + y = 10

~Subtract x to both sides

y = 10 - x

~Reorder

y = -x + 10

We know that slope-intercept form is y = mx + b where m = slope and b = y-intercept. Thus, the slope is -1.

Best of Luck!

Answer:

Thus, the statement is False!

Step-by-step explanation:

When the domain of a function has an infinite number of values, the range may not always have an infinite number of values.

For example:

Considering a function

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

Its domain is the set of all real numbers because it has an infinite number of possible domain values.

But, its range is a single number which is 5. Because the range of a constant function is a constant number.

Therefore, the statement ''When the domain of a function has an infinite number of values, the range always has an infinite number of values'' is FALSE.

Thus, the statement is False!

Answer:

ooh this hard um...

Step-by-step explanation:

isn't that impossible?

Answer:

-4 and -1

Step-by-step explanation:

Answer:

the required ratio which forms proportion with 16/20 is D.) 4/5

Step-by-step explanation:

when you will simplify the ratio you will get

4/5

Ansl

Step-by-step explanatio

Answer:

Step-by-step explanation:

6