Describe how the graph of the equation relates to the graph of y = x2.
f(x) = -x + 5)2

Answer:

Christine needs to drive 250 miles for the two plans to cost the same

Step-by-step explanation:

For answering the question correctly and helping Christine, we will use the following equation:

x = number of miles driven

Cost of the first plan = 0.60x

Cost of the second plan = 50 + 0.40x

How many miles would Christine need to drive for the two plans to cost the same?

Cost of the first plan = Cost of the second plan

0.60x = 50 + 0.40x

0.60x - 0.40x = 50 (Subtracting 0.40x at both sides)

0.20x = 50

x = 50/0.2

x = 250 miles driven

Christine needs to drive 250 miles for the two plans to cost the same.

Answer:

15°

Step-by-step explanation:

∠GOI=150°

∠HOG=30°

∠HIG=30°/2=15°(Circle angle)

Answer:

point a is the maximum

Step-by-step explanation:I took the test

Answer:

cos 42 = 10 / AB

Step-by-step explanation:

Since this is a right angle, we can use trig functions

cos theta = adjacent / hypotenuse

cos 42 = 10 / AB

Answer:

Step-by-step explanation:

3 × 2 + x = 10

6 + x = 10

x = 10 -6

x = 4

Step-by-step explanation:

so 3 x 2 is 6

6 add x is 6x

6x = 10

divide by 6 or 10 on both sides to get ur answer

hope this helps

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72 if * is exponents

Given the value [tex]12b^{5}[/tex] ; the coefficient of b is 12.

The Coefficient is a numerical value or constant which is used to multiply a variable; from the value given above ;

The variable is b ;

The Coefficient = 12 ; the coefficient is the value which is used fo multiply the variable b.

The power is the value to which the variable is raised.

Hence,

The Coefficient is 12 ; it is the value which multiplies the variable 'b' and the power is 5

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Answer:

y=(x-2)^2

Step-by-step explanation:

just simply change the sign.

Answer:

45

Step-by-step explanation:

20 boys= 5 times the ratio

So, 5x5=25

25 girls and 20 boys= 45 students

Answer:

45 students

Step-by-step explanation:

to make sure there are 20 boys you need to multiply 4 by 5

so multiply the 5 by 5 as well

then add what you get!!

Answer:

  A) 2 m/s

Step-by-step explanation:

The ball increases from its thrown height of 3 meters to its maximum height of 7 meters in 2 seconds. That's an average rate of increase of ...

  (4 m)/(2 s) = 2 m/s

The average rate of change of height is 2 meters per second.

Answer:  2m/sec

Step-by-step explanation:  From the graph we see that the ball went from 3 meters to 7 meters, a difference of 4m.  It took 2 seconds to reach that height.

The average is found by dividing 4m/2sec

The result is 4m/sec

Answer:

I believe it is never

Step-by-step explanation:

Sorry if I'm wrong ...

[tex]\frac{1}{15}[/tex] or 6.67%

In practice, the relative frequency of an event happening is the same as the probability that that event happened. In other words, the terms "relative frequency" and "probability" can be used interchangeably.

Now, the probability P(A) of an event A happening is given by;

P(A) = [tex]\frac{number-of-outcomes-in-the-event-A}{number-of-outcomes-in-the-sample-space}[/tex]

From the question;

The event A is the situation of local residents having a post office box. Therefore the;

number-of-outcomes-in-the-event-A = 8   [since only 8 of the local residents have a post office box]

number-of-outcomes-in-the-sample-space = 120 [since there are altogether 120 local residents]

Therefore,

P(A) = [tex]\frac{8}{120}[/tex]

P(A) = [tex]\frac{1}{15}[/tex]

The relative frequency that a local resident does not have a post office box for receiving a mail is therefore, [tex]\frac{1}{15}[/tex]

PS: Sometimes it is much more convenient to express relative frequencies as percentage. Therefore, the result above expressed in percentage gives:

[tex]\frac{1}{15} * 100%[/tex]% = 6.67%

Answer:

[tex]120\º \text{ and } 240\º[/tex]

or in radians:

[tex]$\frac{2\pi }{3} \text{ and } \frac{4\pi }{3}$[/tex]

Step-by-step explanation:

From the way you wrote, you want to solve the equation

[tex]\sqrt {2 \cos(x)+1}=0[/tex] for [tex]0 \leq x < 360\º[/tex], or in radians [tex][0, 2\pi)[/tex]

[tex]\sqrt {2 \cos(x)+1}=0[/tex]

Square both sides

[tex]2 \cos(x) +1= 0[/tex]

[tex]2\cos(x)=-1[/tex]

[tex]$\cos(x)=-\frac{1}{2} $[/tex]

In the Unit Circle, considering one revolution (interval [tex][0, 2\pi)[/tex]),

the values where [tex]$\cos(x)=-\frac{1}{2} $[/tex]  are in Quadrant II and III.

Once

[tex]$\cos(x)= \frac{1}{2} \text{ for } x = 60\º \text{ in the Quadrant I}$[/tex]

The values where

[tex]$\cos(x)=-\frac{1}{2} $[/tex]   are 120º and 240º.

Answer:

C on edge

Step-by-step explanation:

Answer:

[tex]\boxed{a=40}[/tex]

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

[tex]a[/tex] is equivalent to all the other [tex]a[/tex].

Put up an equation and solve for [tex]a[/tex].

[tex]60+a+a+a=180[/tex]

[tex]3a+60=180[/tex]

[tex]3a=120[/tex]

[tex]a=40[/tex]

Answer:

Step-by-step explanation:

in the given figure;

a+60deg.+a+a=180 deg.

=> 3a+60=180

=> 3a=180-60

=> 3a=120

=> a=120/3

   =40 deg.

Answer:

50.24

Step-by-step explanation:

The first step is to find the area of it if it was a whole circle

you get this by squaring the radius

8*8 or 8^2= 64

then, you have to multiply it by 3.14 which gives you

200.96.

Then divide it by 4 to get a quarter of the circle to get the final answer

50.24

Hope this helps, if it does, please give me brainliest, it will help a lot :)

Have a good day

Answer:

5, -1, -7, -31

Step-by-step explanation:

When you plug in x digits you get these numbers.

By substituting different values of x, corresponding values of function y are 5, -1, -7, and -31 obtained as shown in the table.

"A linear function is a mathematical expression which, when graphed, will form a straight line. A linear function is a simple function usually composed of constants and simple variables without exponents"

For the given situation,

The function is y=-6x-1.

Substitute the different values of x in function y, to obtain the value of y.

For x = -1,

[tex]y=-6(-1)-1[/tex]

⇒ [tex]y=5[/tex]

For x = 0,

[tex]y=-6(0)-1[/tex]

⇒ [tex]y=-1[/tex]

For x = 1,

[tex]y=-6(1)-1[/tex]

⇒ [tex]y=-7[/tex]

For x = 5,

⇒ [tex]y=-31[/tex]

The table below shows the values of x and the function y.

Hence we can conclude that by substituting different values of x, corresponding values of function y are obtained as shown in the table.

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Answer:

D. $520

Step-by-step explanation:

A 5% discount means you are paying 95% of the original price.

494 divided by 0.95 = 520

Answer:

d 520

Step-by-step explanation:

a good trick when you have these multiple choice questions especially with percentages with tips and discounts just multiply each answer option by what ever percentage you have and subtract or add what you got on the calculator

Answer:

c

Step-by-step explanation:

Answer:

the one on the upper left with the triangular form

Step-by-step explanation:

all the others only represent one of the possibilities

Answer:

6 ft

Step-by-step explanation:

Since the red line is 9 feet long, and we know that [tex]3\cdot3 = 9[/tex], we can note that 3 inches goes into 9 inches 3 times.

Now that we are making the red line increase by 2 feet for every 3 inches, we can multiply the values.

2 feet × 3 times = 6 feet

So Carver should make the red line 6 feet long.

Hope this helped!

Answer:

6ft

Step-by-step explanation:

If the scale is 3in:2ft then every 3 inches is equal to 2 feet. 9in can be divided into 3 3in sections and after the sections are scaled 3 2t sections which in all are equal to 6ft.

Answer:

B. 15:1

Step-by-step explanation:

30/2=15/1

45/3=15/1

60/4=15/1

75/5=15/1

Hope this helps ;) ❤❤❤

The correct answer is B

Answer:

exponential decay

Step-by-step explanation:

The function  f(x)=0.85ˣ is a exponential decay.

A relation is a function if it has only One y-value for each x-value.

The given function is f(x)=0.85ˣ.

The function f of x is equal to zero point eight five to the power of x.

Exponential decay refers to a process in which a quantity decreases over time, with the rate of decrease becoming proportionally smaller as the quantity gets smaller.

The function  f(x)=0.85ˣ is a exponential decay.

Hence, the function  f(x)=0.85ˣ is a exponential decay.

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Answer:

1,2 and 4 are correct.

Step-by-step explanation:

A mineral cannot be a liquid or a gas.

Answer:

|, ||, |V

Step-by-step explanation:

Only I, II, and IV are true. Minerals are solid, naturally occurring inorganic substances, each having a specific chemical makeup. Each mineral also has a particular type of ordered internal structure. Rocks are made of two or more minerals.

We can solve the inequality 2x + 3 > -9 by first subtracting 3, then dividing by 2:

2x > -12

x > -6

This graph should have an open circle at negative 6 (this is a strict inequality, so x cannot equal -6), with everything to the right shaded (since x is greater than -6).

Answer:

C

Step-by-step explanation:

Did test on edge

Answer:

the answrr is option a 9

Answer:

b) 1, -4, 6

Step-by-step explanation:

(x-y)^4=

(x-y)(x-y)(x-y)(x-y)=

(x^2-xy-xy-y^2)(x^2-xy-xy-y^2)=

(x^2-2xy-y^2)(x^2-2xy-y^2)=

x^4-4x^3y+6x^2y^2-4xy^3+y^4

Answer:

[tex]x = y - 3 [/tex]

[tex]x = - (y + 1) y \geqslant 1[/tex]

Hope this is correct and helpful

Step-by-step explanation:

I suppose that this is the graph

HAVE A GOOD DAY!

Answer:

A

Step-by-step explanation:

Since the the value is greater than 1, f(x),g(x), and h(x) are exponential functions.

Answer: it will be 3.7 cuz its perpendicular

have a good day,     hey thechesguy nice name and the guy under copied from me.