below equations has a graph that passe ugh the points (3,-4) and (-1,4)?
Which of

Answer:

Step-by-step explanation:

The area of a circle is A = πr², where r is the radius. That means in order to solve this we have to find the value of x, which is the diameter of the lake, and then divide it in half to get the radius. To find x we will use similar triangles and proportions. x is the height of the big triangle and 4.5 is the height of the smaller triangle; 15.3 + 7.4 is the hypotenuse of the big triangle and 7.4 is the hypotenuse of the smaller triangle. Setting up our proportion:

[tex]\frac{x}{4.5}=\frac{15.3+7.4}{7.4}[/tex] which simplifies a bit to

[tex]\frac{x}{4.5}=\frac{22.7}{7.4}[/tex] and cross multiply to solve for x:

7.4x = 102.15 so

x = 13.8  That is the diameter of the lake. Divide it in half to get 6.9, the radius. Applying the area formula for a circle:

A = (3.14)(6.9)² and

A = 3.14(47.61) so

A = 149.5 which rounds to 150, Choice C

Answer:

[tex]y=120 * 1.1^x[/tex] --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

[tex]x \to months[/tex]

[tex]y \to mice[/tex]

So, we have:

[tex](x_1,y_1) = (0,120)[/tex] --- Monday

[tex](x_2,y_2) = (1,132)[/tex] --- One month later

Required

The function

The function is represented as:

[tex]y=ab^x[/tex]

In [tex](x_1,y_1) = (0,120)[/tex], we have:

[tex]120 = a * b^0[/tex]

[tex]120 = a * 1[/tex]

[tex]120 = a[/tex]

[tex]a=120[/tex]

In [tex](x_2,y_2) = (1,132)[/tex], we have:

[tex]132 = a * b^1[/tex]

[tex]132 = a * b[/tex]

Substitute: [tex]a=120[/tex]

[tex]132 = 120 * b[/tex]

Solve for b

[tex]b = \frac{132}{120}[/tex]

[tex]b = 1.1[/tex]

So, the function is:

[tex]y=ab^x[/tex]

[tex]y=120 * 1.1^x[/tex]

To calculate the monthly rate (r), we have:

[tex]y =a(1 + r)^x[/tex]

Compare to: [tex]y =ab^x[/tex]

[tex]1 + r = b[/tex]

Make r the subject

[tex]r = b-1[/tex]

Substitute [tex]b = 1.1[/tex]

[tex]r = 1.1-1[/tex]

[tex]r = 0.1[/tex]

Express as percentage

[tex]r = 0.1*100\%[/tex]

[tex]r = 10\%[/tex]

Answer:

8

Step-by-step explanation:

32 ÷ 4 = 8

32 ÷ 8 = 4 :D

4x8 = 32

32 divided by 4 is 8. 8 is your answer.

Answer:

[tex](0,-1)[/tex]

Step-by-step explanation:

The y-intercept always occurs when [tex]x=0[/tex]. To find the y-value of the y-intercept, substitute [tex]x=0[/tex] into your equation:

Given [tex]f(x)=-4.2^x[/tex], when [tex]x=0[/tex]:

[tex]f(x)=-4.2^0,\\f(x)=-(1)=-1[/tex]

Therefore, the y-intercept of this function is [tex](0, -1)[/tex].

Answer:

i would say that the box plot will look somewhat in the middle between 18 and 36 with 36 being the largest and 18 as the smallest

the data will also wont have a major difference in them

hope this helps<3

Answer:

14

Step-by-step explanation:

the radius is always half the diameter.

but i could be wrong ,beacause im not sure why they gave you the height.

Answer:

Radius is 14 cm

Step-by-step explanation:

To find the radius, you divide the diametre by 2

28 ÷ 2 = 14

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Have a great summer :)

Step-by-step explanation:

thats my answer thankyou

mark me as BRAINLIEST

follow me

carry on learning

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

[tex] \large{ \tt{✤ \: FIRST ,\: MEMORISE \: THESE}} : [/tex]

[tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]

[tex] \large{ \tt{⋆ \: (x - 5) ^{2} }}[/tex]

[tex] \large{ \tt{↦ {x}^{2} - 2 \times x \times 5 + {5}^{2} }}[/tex]

[tex] \boxed{ \large{ \tt{↦ \: {x}^{2} - 10x + 25 }}}[/tex]

And we're done! ♡

[tex] \large{ \# \: \mathfrak{StayInAndExplore \: ☂}}[/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

x =17

Step-by-step explanation:

Complementary angles add to 90

4x+ x+5 = 90

Combine like terms

5x+5 = 90

Subtract 5 from each side

5x+5-5 = 90-5

5x = 85

Divide by 5

5x/5 = 85/5

x =17

Answer:

No

Step-by-step explanation:

Answer:

(a) -12

(b) 37

(c) -840

Step-by-step explanation:

We simply have to plug in the values for each expression.

2 + -3(3) - 5 = 2 + -9 - 5 = -7 - 5 = -12

5(2) - 4(-3) + 3(5) = 10 - -12 + 15 = 10 + 12 + 15 = 22 + 15 = 37

7(2^3)(-3)(5) = 7(8)(-15) = 56(-15) = -840

Answer:

f(x)=3x+2 what is f(5)

f(5)=3(5)+2 = 17

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]f(5)=17[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer....}}\\\\\rightarrow f(x)=3x+2; f(5)\\-------------\\\rightarrow f(5)=3(5)+2\\\\\rightarrow f(5)=15+2\\\\\rightarrow \boxed{f(5)=17}}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

the answer is D

BECAUSE it satisfied the conditions

Answer:

The slope should be -3.

Step-by-step explanation:

:)

Answer:

284 u^3

Step-by-step explanation:

a b c d e f g h i j k l m n o p q r s t u v w x y z

Answer:

Option B is correct

Step-by-step explanation:

Hope that helped u

Answer:

Blurry po

Step-by-step explanation:

Pwede kunan nyu ulit

Answer:

[tex]inverse \ of \ f(x) : \frac{2x}{x-1}[/tex]

Step-by-step explanation:

[tex]y = \frac{x}{x-2}\\\\swap\ x\ and \ y\\\\x = \frac{y}{y-2}\\\\x(y -2) = y\\\\xy - 2x = y\\\\xy - y = 2x\\\\y(x-1)= 2x\\\\y = \frac{2x}{(x-1)}[/tex]

Step-by-step explanation:

Given two one-to-one functions f(x)f(x) and g(x)g(x) if

(f∘g)(x)=xAND(g∘f)(x)=x(f∘g)(x)=xAND(g∘f)(x)=x

then we say that f(x)f(x) and g(x)g(x) are inverses of each other. More specifically we will say that g(x)g(x) is the inverse of f(x)f(x) and

denote it by

g(x)=f−1(x)g(x)=f−1(x)

Likewise, we could also say that f(x)f(x) is the inverse of g(x)g(x) and denote it by

f(x)=g−1(x)

Given the function f(x)f(x) we want to find the inverse function, f−1(x)f−1(x).

First, replace f(x)f(x) with yy. This is done to make the rest of the process easier.

Replace every xx with a yy and replace every yy with an xx.

Solve the equation from Step 2 for yy. This is the step where mistakes are most often made so be careful with this step.

Replace yy with f−1(x)f−1(x). In other words, we’ve managed to find the inverse at this point!

Verify your work by checking that (f∘f−1)(x)=x(f∘f−1)(x)=x and (f−1∘f)(x)=x(f−1∘f)(x)=x are both true. This work can sometimes be messy making it easy to make mistakes so again be careful.

Explanation:

Setting y=f(x)

y=xx−2

this may be rearranged (intermediate steps shown) as follows

y(x−2)=x

x⋅y−2y=x

x⋅y−x=2y

x(y−1)=2y

x=2yy−1

This expression shows x in terms of y.

That is,

f−1(x)=2xx−1

Setting y=f(x)

y=xx−2

this may be rearranged (intermediate steps shown) as follows

y(x−2)=x

x⋅y−2y=x

x⋅y−x=2y

x(y−1)=2y

x=2yy−1

This expression shows x in terms of y.

That is, it is the inverse of function f(x).

That is,

f−1(x)=2xx−1

as required.

Answer:

Is that the letter (x) or Is that times?

If it is times; then the difference is:

Option "C" -12x2-x-7

Step-by-step explanation:

why, because it is not solvable

Answer:

the person above me is wrong,

Step-by-step explanation:

its

Simplify the expression.

12x2 - 25x + 13

Answer:

B

Step-by-step explanation:

Hope it helps and if you need explanation let it in the comments

Answer:

B

Step-by-step explanation:

Answer:

first option is correct

Step-by-step explanation:

3x+12+x=180 degree (being linear pair)

4x+12=180

4x=180-12

x=168/4

x=42

Answer:

Option (1)

Step-by-step explanation:

Slope of a line is defined by the rule,

Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

Here, Rise and Run of the line are positive.

Therefore, sign of the slope of the line will be positive.

Option (1) will be the correct option.

Answer:

12/5

Step-by-step explanation:

The total number of students divided by the number of students who prefer dogs.

Mathematically:

48/20

=12/5

Therefore, that's the probability

Answer: x=32

Step-by-step explanation:

The angles in a triangle add up to 180 degrees.

Since we know a=10 the other two angles must add up to 170 degrees.

[tex]2x+3x=170[/tex]

We can now solve for x

[tex]2x+3x=170\\5x=170\\\frac{5x}{5} =\frac{170}{5}\\x=34[/tex]

We can sub in x to both angles to see if they angles add up to 180

[tex]2(34)+3(34)+10=180\\68+102+10=180\\180=180[/tex]

Answer:

ok so lets make a list of what days each sister will make sandwiches

Emily:4,8,12,16,20

Sister:8,16,24,32,40

from looking at this we know that they will both make sandwiches on the 8th day

Hope This Helps!!!

Answer:

[tex]5x + 7y = 14[/tex]

Step-by-step explanation:

1: Formulate equations/expressions:

[tex]based \: on \: the \: given \: conditions \: formulate \\ b = 2[/tex]

2: Write the equations:

[tex]write \: the \: equation \: of \: linear \: function \\ y = mx + b[/tex]

3: Substitute:

[tex]y = mx + b \\ b = 2 \: (7 \: - 3) \\ - 3 = m \: . \: 7 + 2[/tex]

4: Solve the equation:

[tex] - 3 = m \: . \: 7 + 2 \\ multiply \: the \: monomials \\ - 3 = 7m + 2 \\ rearrange \: unknown \: terms \: to \: the \: left \: of \: the \: equation \\ - 7m = 2 + 3 \\ calculate \: the \: sum \: or \: differences \\ - 7m = 5 \\ divide \: both \: sides \: of \: the \: equations \: by \: the \: coefficient \: variable \\ m = 5 \div ( - 7) \\ calculate \\ m = - \frac{5}{7} [/tex]

5: Substitute:

[tex]y = mx + b \\ b = 2 \: m = - \frac{5}{7} \\ y = - \frac{5}{7} x + 2[/tex]

6: Rewrite the equations:

[tex]y = - \frac{5}{7} x + 2 \\ standard \: forms \\ find \: the \: required \: form \\ 5x + 7y = 14[/tex]

Answer:

Step-by-step explanation:

Given expression is,

[tex]\lim_{m \to \infty} \frac{4m^2-6m+1}{3m^2+5m+7}[/tex]

By dividing denominator and numerator of the given fraction by m²,

[tex]\lim_{m \to \infty} \frac{\frac{4m^2-6m+1}{m^2} }{\frac{3m^2+5m+7}{m^2} }[/tex]

= [tex]\lim_{m \to \infty} \frac{4-\frac{6}{m} +\frac{1}{m^2} }{3+\frac{5}{m} +\frac{7}{m^2} }[/tex]

We know that [tex]\lim_{n \to \infty} \frac{1}{n}=0[/tex]

[tex]\lim_{m \to \infty} \frac{4-\frac{6}{m} +\frac{1}{m^2} }{3+\frac{5}{m} +\frac{7}{m^2} }=\frac{4-0+0}{3+0+0}[/tex]

                            [tex]=\frac{4}{3}[/tex]

Therefore, We can evaluate the limit of the expression by substituting ∞ in for m.

Answer:

58

Step-by-step explanation:

a = 27, b = -10 and c = 40

= a - (6 - c) + (a - b) - C

= 27 - (6 - 40) + (27 - (-10)) - 40

= 27 - (-34) + (37) - 40

= 27 + 34 + 37 - 40

= 58

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{a - (6 - c) + (a - b) - c}[/tex]

[tex]\large\textsf{= 27 - (6 - 40) + (27 - (-10)) - 40}[/tex]

[tex]\large\textsf{6 - 40 = \bf -34}[/tex]

[tex]\large\textsf{= 27 - (-34) + (27 - (-10)) - 40}[/tex]

[tex]\large\textsf{= 27 + 34 + 27 + 10 - 40}[/tex]

[tex]\large\textsf{27 + 34 = \bf 61}[/tex]

[tex]\large\textsf{= 61 + 27 + 10 - 40}[/tex]

[tex]\large\textsf{61 + 27 = \bf 88}[/tex]

[tex]\large\textsf{88 + 10 - 40}[/tex]

[tex]\large\textsf{88 + 10 = \bf 98}[/tex]

[tex]\large\textsf{98 - 40}[/tex]

[tex]\large\textsf{= \bf 58}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 58}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]