Amy is biking to school from her father's house and Jeremy is biking to school from his aunt's house. Suppose Amy is moving at a rate 10 miles per hour and Jeremy is moving at a rate of 8 miles per hour. Can you assume that Amy will get to school first?

Answers

Answer 1

Answer:

No, more information is needed to prove that Amy will get to school first.

Step-by-step explanation:

Even though Amy is traveling at a faster rate than Jeremy, the problem does not say how far away Amy's father's or Jeremy's aunt's houses are from the school.  

Answer 2

Answer:

Step-by-step explanation:

No, the rate with the greater positive rate of change will not necessarily reach the output with the smallest input. The initial value will also affect the outcome. Although Amy is biking at a faster rate of change, Jeremy might get to school before her if his aunt lives closer to the school than her father does.

Explanation: Edge. said so.


Related Questions


What is the domain of the function on the graph?

Answers

Answer:

Step-by-step explanation:

Domain covers x values only (where range covers y values only). Domains are stated from the absolute lowest x value included on the graph to the highest. Looking at our graph, we have a solid dot at x = -3, and there is no part of the graph that goes to the left of -3. So -3 is the absolute lowest x value on the graph. When you follow the blue graph, you notice that it goes off the graph "paper" and does not have a solid dot at the tail end of it. This means that the graph will go on forever. This implies infinity, which looks like this: ∞

The lowest x value is -3 and the highest is ∞ so there are a couple of ways in which you can state this:

D = {x | -3 ≤ x < ∞} or D = {x ≥ -3} Either one will work

5x+y=2 4x+y=4
how do i solve this?

Answers

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

See this attachment

[tex]\boxed{\boxed{\sf{x=-2~and~y=12 }}}[/tex]

Find the solutions of the quadratic equation x2 – 6x + 8 = 0.

Answers

hope this helps! feel free to clarify

If the value of a number in decimal system is 955, find its value in quinary system and in binary system.​

Answers

Answer:

955 in quinary system = 12310

955 in binary system = 1110111011

Step-by-step explanation:

Quinary system is in base 5, that is, 0,1,2,3,4

955 in quinary system

955 ÷ 5 = 191 remainder 0

191 ÷ 5 = 38 remainder 1

38 ÷ 5 = 7 remainder 3

7 ÷ 5 = 1 remainder 2

1 ÷ 5 = 0 remainder 1

In reverse order of the remainder

= 12310

Binary system = 0,1

955 in binary system

955 ÷ 2 = 477 remainder 1

477 ÷ 2 = 238 remainder 1

238 ÷ 2 = 119 remainder 0

119 ÷ 2 = 59 remainder 1

59 ÷ 2 = 29 remainder 1

29 ÷ 2 = 14 remainder 1

14 ÷ 2= 7 remainder 0

7 ÷ 2 = 3 remainder 1

3 ÷ 2 = 1 remainder 1

1 ÷ 2 = 0 remainder 1

In reverse order of the remainder

1110111011

PLEASE HELP!!
A 16 ft ladder is propped up against a building at an angle of 52°. How far up the wall does the ladder go?
a. 20.3 ft
b. 9.9 ft
c. 25.9 ft
d. 12.6 ft

Answers

Answer:

The correct answer is a) 12.6 ft

Step-by-step explanation:

I took the test and got it right:)

The branch of mathematics deals with the relations of the sides and angles of triangles and with the relevant functions of any angles. The ladder goes at a height of 12.6082 feet.

What is trigonometry?

The branch of mathematics deals with the relations of the sides and angles of triangles and with the relevant functions of any angles.

Given that the length of the Ladder is 16 feet while the angle between the ladder leaning against the wall is 52°.

Trigonometric Ratios are the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Using Trigonometric Ratios of sin because of opposite over hypotenuse,

sin ∅=perpendicular/hypotenuse

sin(52) = x/16

16sin(52) = x

By calculating,

x = 12.6082 feet

Hence, the ladder goes at a height of 12.6082 feet.

Learn more about Trigonometry here:

https://brainly.com/question/26719838

#SPJ2

Plz explain and I'll give brainly!!!

For this exponential function,
what is the output value (y),
when the input value (x) is 2?


y = 10.5x



Answers

Answer:

(2,21)

Step-by-step explanation:

y = 10.5x

plug 2 for x  in the equation

y = 10.5(2)

then multiply 2 by 10.5

y=21

Angle ADB and CD are straight lines.

angle ADC = 5 x angle CDB

Work out the size of angle ADC.

Answers

Answer:

150 degrees

Step-by-step explanation:

5 + 1 = 6

180 : 6 = 30

30 x 5 = 150

[tex]\frac{x+4}{2} -\frac{3}{x-3} =1[/tex]

Quadratics null factor the given answer is x= 4,−3 but I don't know how to work it out

Answers

Follow each step in the picture

Answer:

Hello,

Step-by-step explanation:

[tex]x\neq 3\\\\\dfrac{x+4}{2} -\dfrac{3}{x-3} =1\\\\\dfrac{(x+4)(x-3)-2*3-2(x-3)}{2(x-3)} =0\\\\x^2+4x-3x-12-6-2x+6=0\\\\x^2-x-12=0\\\\x^2-4x+3x-12=0\\\\x(x-4)+3(x-4)=0\\\\(x-4)(x+3)=0\\\\x=4\ or\ x=-3\\[/tex]


What is the range of function g?

Answers

Ans

he range of function g is as under;

b

-3 ,-4

Answer:

B

Step-by-step explanation:

I just took the test.

Plz someone do this for me I’ll give a lot of points

Answers

Answer:

RW is congruent to WX

Step-by-step explanation:

We know that PW and WV and Angle W is vertical angle so We need to include that RW congruent to WX.

XYZ medication 250 mg , 2 tabs qid x 14 days. How many tablets will be dispensed from the pharmacy?

Answers

Answer:

112

Step-by-step explanation:

qid means 4 times a day. So 2 x 4 is 8. Then multiply that by 14 and you get 112.

112 tablets will be dispensed from the pharmacy such that [tex]XYZ[/tex] medication [tex]250[/tex] mg, [tex]2[/tex] tabs qid for [tex]14[/tex] days.

Unitary Method

The unitary method is a process to find the value of multiple units from the value of a single unit.

How to determine the number of tablets dispensed?

[tex]2[/tex] tabs qid means [tex](2[/tex] × [tex]4)[/tex] [tex]= 8[/tex] tabs per day will be required as per prescribed medication.

So, in [tex]14[/tex] days, the number of tabs required [tex]= 8[/tex] ×[tex]14 = 112[/tex].

Thus, 112 tablets will be dispensed from the pharmacy.

Learn more about unitary method here- https://brainly.com/question/22056199

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Select all polynomials that have (x-3) as a factor.

1. a(x) = x^3 - 2x^2 - 4x + 3
2. b(x) = x^3 + 3x^2 - 2x - 6
3. c(x) = x^4 - 2x^3 -27
4. d(x) = x^4 -20x - 21

Answers

Answer:

Below.

Step-by-step explanation:

Substitute x = 3 into each polynomial and see if the value of the polynomial is zero. If it is zero then x-3 is a factor.

Try number 1:

a(x) = x^3 - 2x^2 - 4x + 3

a(3) = 3^3 - 2(3)^2 - 4(3) + 3

= 27 - 2(9) - 12 + 3

= 27 - 18 - 12 + 3

= 9 - 18 - 9

= 27 - 27

= 0

So a(x) has (x-3) is a factor of a(x)

The other 3 polynomials are solved in the same way.

Resolver problemas Aplicación. El precio de un computador es $2 200 000 sin IVA ¿Cuánto hay que pagar por el si el IVA es del 16%? = Aplicación. En la preparación de una salsa de la receta para 4 personas, se necesitan 150 gramos de mantequilla. ¿Cuántos gramos de mantequilla se necesitan en una salsa para 12 personas?

Answers

Respuesta:

$ 2552000

450 gramos

Explicación paso a paso:

Dado que :

Precio = $ 2,200,000

Si IVA = 16%

LA CANTIDAD A PAGAR SERÁ:

Precio + IVA

$ 2,200,000 + (16% * $ 2,200,000)

$ 2,200,000 + (0.16 * $ 2,200,000)

$ 2,200,000 + $ 352,000

$ 2552000

2.)

Receta para 4 personas requiere 150 gramos de mantequilla

Receta para 12 personas requerirá x gramos

4x = 150 * 12

4 veces = 1800

x = 1800/4

x = 450 gramos

10)
Ka
The longer base of a trapezoid has endpoints of (-2,- 4) and (4,0). The shorter base contains the point (3, 1).
(40)
(2)
We an equation of the line that contains the shorter base of the trapezoid. Provide valid mathematical reasoning and calculations to
you derived your equaiton.
of a trapezoid are parallel
Suation and explanation in the space provided.
Math symbols
Relations
Geometry

Answers

Answer:

y = 2·x/3 - 1

Step-by-step explanation:

The endpoints of the longer base of the trapezoid = (-2, -4), and (4, 0)

The point contained on the shorter base = (3, 1)

The slope of the line representing the longer base, m, is given as follows;

m = (0 - (-4))/(4 - (-2)) = 2/3

The slope of the shorter base = The slope of the longer base = m = 2/3

The equation of the line representing the shorter base in point and slope form is therefore;

y - 1 = (2/3)·(x - 3)

∴ y = 2·x/3 - 2 + 1 = 2·x/3 - 1

The equation of the shorter side of the trapezoid is y = 2·x/3 - 1

Help please need it ASAP correct

Answers

Answer:

[tex]p=-7[/tex]

Step-by-step explanation:

This is how you find it

1) Substitute the p into the equation to get 7(-7)-7=-56. Then you get -49-7=-56. This is true  

Hope this helps! :)

Answer:

p = - 7

Step-by-step explanation:

7p - 7 = - 56

7p - 7 + 7 = - 56 + 7

7p = - 49

7p ÷ 7 = - 49 ÷ 7

p = - 7

Find the length of side x in simplest radical form with a rational denominator.
60°
12
Submit Answer
Answer: =
attempt 1 out of 2
PLSSSSS HELP

Answers

Answer:

24

Step-by-step explanation:

cos 60 = adjacent / hypotenuse

1 / 2 = 12 / x

x = 2 ( 12 )

x = 24

at a certain university, 23% of students will graduate with a math degree, 31% will graduate with a computer science degree and 7% will graduate with a degree in both math and computer science what is the probability that a student will graduate with a math or a computer science segree? A) 7% B) 47% C) 54% D) 61%

Answers

Answer:  B) 47%

Work Shown:

A = event that the person has math degree

B = event that the person has a computer science degree

P(A) = 0.23, since 23% of the people have a math degree

P(B) = 0.31, similar reasoning as above, just different number

P(A and B) = 0.07

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.23 + 0.31 - 0.07

P(A or B) = 0.47

The decimal value 0.47 then converts to 47% after moving the decimal 2 spots to the right.

There's a 47% chance that we pick someone who has a math degree or a computer science degree (or both).

It might help to set up a venn diagram to see why that formula above works.

A box contains 6 red, 3 white, 2 green, and 1 black (in total 12) identical balls. What is the least number of balls necessary to take out randomly (without looking) to be sure of getting at least two white balls?

Answers

Answer:

Pick at least 4 balls to be sure that you are getting balls with the same color.

Step-by-step explanation:

Here, you want to know the least number of balls to be taken out of the box to be sure that you have all the three colors represented.

You know there are 12 identical balls, with the least numbers of balls being 1 and 2. Hence, to be able to know you have all the colors of balls represented, you will need to have taken all the less represented ones i.e the 1 and 2 , and this means that the next number of ball which would be taken will confidently confirm that you have taken all the colors since you would have exhausted picking other balls at this point.

So you shall be needing at least 4 balls picked to ensure that you have all the colors represented

Question 4 of 25
Suppose a normal distribution has a mean of 62 and a standard deviation of
4. What is the probability that a data value is between 58 and 64? Round your
answer to the nearest tenth of a percent.
A. 53.3%
B. 54.3%
C. 52.3%
D. 51.3%

Answers

Answer:

Step-by-step explanation:

We are looking for P(58 < x < 64). We need to find the percentage to the left of the z-scores for each of these numbers. To find the z scores, use the formula:

[tex]z=\frac{x_i-\bar{x}}{\sigma}[/tex]

[tex]z=\frac{58-62}{4}[/tex] which gives us a z-score of -1. The percentage of numbers to the left of a z-score of -1 is .1586553

Now for the other z-score:

[tex]z=\frac{64-64}{4}[/tex] which gives us a z-score of .5. The percentage of numbers to the left of a z-score of .5 is .69146246

The lower percentage subtracted from the higher gives the area in question:

.69146246 - .1586553 = .53280716, or as a percentage, 53.3%, choice A.

What’s 4 divided by $5.32

Answers

Answer:

0.752

Step-by-step explanation:

Karma was given some birthday money. She puts money in an account. Every month after that, she deposits the same amount of money. The equation that models this situation is y=75x+60, where y is the amount of money in the account and x is the number of deposits. What does the y-intercept mean in this situation

Answers

Answer:

y represents the amount in the bank account after 7 months.

Step-by-step explanation:

Let karma gets x money on his birthday.

He has 60 in his account initially

He deposits teh same money for the seven months

So, the money he has after the seven months is 7 x + 60  

According to the question,

y =7 x + 60

It shows that the amount after seven months is y.  

...................................................

Answers

Answer:

3x + 2 = 59

Step-by-step explanation:

because the total is 59 so is definetly =59

and no of oranges in bag so there are 3 bags it means its 3x so the equation is 3x + 2 = 59

Hope it will help you

Lots of love from nepal <3 :)

Grade improvement and study motivation

Answers

Answer:

yes because we are leraning new things

what is the measure of each angle of a regular 14-gon? if neccessary, round to the nearest tenth.​

Answers

Step-by-step explanation:

Side measuring formula is 180(n-2). ---[ n= side]

Question: 14-gon

>by using formula 180(14-2)

> 180×12

> 2160÷ 14. --[divided by 14 side in order to find one side's degree]

> 154.28°

Simplify the expression 5(x-3)(x^2+4x+1)

Answers

Simplify the expression 5(x-3)(x^2+4x+1)

it would be I think answer number 3

Which is the graph of f(x) = (x - 1)(x + 4)?
6
4
2
2
22
2
4
6
2
B42
2
O
O
4
2
2

Answers

Answer:

Graph D

Step-by-step explanation:

f(x)=(x-1)(x+4

roots x=1,-4,

x=0, y=-4

OAmalOHopeO

Findthe area of a quadrilateral ABCD in which AB=3cm,BC=4cm,CD=4cm,DA=5cm, and AC=5cm

Answers

Answer:

21cm

Step-by-step explanation:

3+4+4+5+5

I so

How many L of a 10% alcohol solution must be mixed with 9l of a 80% alcohol solution to make a 55% solution

Answers

Answer:

Step-by-step explanation:

The best thing to do for these solution/mixture problems is to make a table:

                          #L           *           %alcohol         =            L alcohol

    10% sol.

+   80% sol.                                                                                            

    55% sol.  

In this way, we can keep track of our information AND figure out the equation we need to use to solve it. Notice first, the equation along the top of the table:

#L * %alcohol = L alcohol  This tells us that we are multiplying the #L column times the %alcohol column to get the L alcohol column. Notice second, that there is a + sign to the far left, indicating that we are ADDING rows 1 and 2 together to get the mix. Let's start filling this in. The easy part is the % alcohol column. 10% alcohol has .10 alcohol as a decimal, likewise for the 80% and 55%:

                          #L             *            %alcohol          =         L alcohol

   10% sol.                                             .10

+  80% sol.                                            .80               =                          

   55% sol.                                            .55

Now to fill in the first column. We know that our unknown, from the problem, is the number of Liters, #L in the 10% solution, so that is x, and we also know that we have 9 L of the 80% alcohol. Filling that in:

                             #L            *             %alcohol           =         L alcohol

  10% sol.                x            *                .10

+ 80% sol.               9           *                 .80                                                

  55%                                                      .55

Now look back at the + sign. We are told that we are mixing the 10% with the 80%, so we are adding them together. So let's do that. We will also follow the rule for the table and multiply the first column times the second column to fill in the last column to complete the table:

                          #L           *             %alcohol            =              L alcohol

   10% sol.           x            *                 .10                  =                 .10x

+  80% sol.          9           *                 .80                  =                  7.2          

  55% sol.      (9 + x)         *                 .55                  =         .55x + 4.95

If we add the 2 solutions together to get the new solution in the first column, we will also add the L alcohol in the last column to get our equation:

.10x + 7.2 = .55x + 4.95 and

- .45x = - 2.25 so

x = 5L

We need 5 Liters of the 10% solution if we want to mix that with 9L of 80% solution to get 14 L of 55% solution.

Which shows a difference of squares?10 y squared minus 4 x squared16 y squared minus x squared8 x squared minus 40 x 2564 x squared minus 48 x 9

Answers

Answer:

16 y squared minus x squared

Step-by-step explanation:

The other all expressions except 16y²-x² doesn't complete the square and its difference. Then we can check 16y²-x²,

Now take the expression 16y²-x² and we can try to solve it.

We can simplify the terms separately to associate them as perfect squares,

→ 16y² = (4y)² --- (1)

→ x² = (1x)² --- (2)

Now we can take the difference of eq. (1) and eq. (2),

→ 16y²-x²

→ (4y)²-(1x)² --- (3)

Now eq. (3) shows a difference of squares.

Another representation is,

→ (4y - x) (4y + x)

→ 16y²- x²

→ (4y)²- (1x)²

Therefore, the expression 16y²-x² shows a correct difference of squares.

Answer:

its b trust

Step-by-step explanation:

An American sausage is 43 inches long. How many pieces of sausage can be cut from the 43 inch piece of sausage if each piece is two-thirds of an inch?

Answers

Answer:

64.5 pieces

Step-by-step explanation:

Since we know how long our sausage is already, we can solve this problem by simply dividing 43 by our fraction which is 2/3 (or 0.6).

43 / 0.6 = 64.5

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