A car moving at a constant speed passed a timing device at t = 0. After 6 ​seconds, the car has traveled 534 ft. Write a linear function rule to model the distance in feet d the car has traveled any number of seconds t after passing the timing device.

Answers

Answer 1

Answer:

d = 89t

Step-by-step explanation:

d = distance --- t = timing device --- x = speed or feet per x

d = tx

linear equation from this (SOLVE) --> 534 = 6x ---> 89 = x

linear equation --> d = 89t

Answer 2

Answer:

[tex]f(x)=89x[/tex]

Step-by-step explanation:

With the given information, you have 2 points.

1. (0, 0)

2. (6, 534)

With 2 points, you can calculate the slope of the linear function.

[tex]m=\frac{y2-y1}{x2-x1} \\m=\frac{534-0}{6-0} \\m=\frac{534}{6} \\m=89[/tex]

Finally, you can write a function:

[tex]f(x)=mx+b[/tex]

No need to calculate the y-intercept as thats already given in point (0, 0).

[tex]f(x)=89x+0\\f(x)=89x[/tex]


Related Questions

6x + 2(5x-6) distributive property

Answers

Answer:

16x - 12

Step-by-step explanation:

6x + 2(5x - 6)

then 2 * 5 = 10x

then 2 * (-6) = -12

that will be 10x - 12

then you have 6x + 10x -12

combine the like terms which are 6x and 10x

then 16x - 12

The solution of the equation will be (16x - 12).

What is Distributive property?

By the rule of distributive property, multiplying the sum of two or more addends by a number gives the same result as when each addend is multiplied individually by the number and the products are added together.

The expression is given as;

6x + 2(5x - 6)

Now,

Apply distributive property we can solve the equation as;

6x + 2(5x - 6)

6x + 2 × 5x - 2 × 6

6x + 10x - 12

16x - 12

Thus, The solution of the equation will be (16x - 12).

Learn more about the distributive property visit:

https://brainly.com/question/16374277

#SPJ5

What is the value of x?
A
3x - 5
Enter your answer in the box.
4x - 30
В
B
X=
2x + 20

Answers

Answer: x = 25

Step-by-step explanation:

This appears to be an equilateral triangle.  All angles are shown to be the same.  This means all 3 sides will have the same length:

3x-5

4x-30

2x+20

are all equal to each other.

3x-5 = 4x-30

x = 25

----

3x-5 = 70

4x-30 = 70

2x+20 = 70

If one-third of a number is 24 less than the thrice of the number, find the number.​

Answers

Answer:

9

Step-by-step explanation:

Let the number be 'x'

One third of a number : (1/3) *x

Thrice the number = 3x

[tex]3x -24=\dfrac{1}{3}x\\\\3x - \dfrac{1}{3}x = 24\\\\\\[/tex]

Multiply the entire equation by 3

9x - x =  72

8x = 72

Divide both sides by 8

x = 72/8

x = 9

does anyone know how to view what answers you got correct on a post test for plato/ edmentum? please give detailed instructions

Answers

Answer:

Step-by-step explanation:

For Plato just press the + button to add an introduction or whatever.

Factor 28z–32. what is the factor??????

Answers

Answer:

4(7z - 8)

Step-by-step explanation:

28 and 32 are both divisible by 4.

The answer is 4(7z - 8)

Number 1. I don’t understand this question.

Answers

Answer:

2

Step-by-step explanation:

you're dividing 3/4 into the first, so it works because you're asking how many would fit into it, which is simply multiplication.

pls help me
look at the picture​

Answers

Answer:

third option is correct

[tex] \text{Given : Which expression is equivalent to} \: \frak{( {8}^{2})^{ - 4}} \\ \\ \odot \quad\frak{ \frac{1}{ {8}^{2}}} \\ \\ \odot \quad\frak{ \frac{ - 1}{8 \cdot8 \cdot8 \cdot8\cdot8\cdot8\cdot8\cdot8}} \\ \\ \odot\quad\frak{ \frac{1}{8 \cdot8 \cdot8 \cdot8\cdot8\cdot8\cdot8\cdot8}} \\ \\ \odot \quad \frak{ {8}^{2} }[/tex]

[tex] \text{Solution : For getting the answer we need to first simplify it } \\ \quad \dashrightarrow \frak{ ({8}^{2}) ^{ - 4} } \\ \\ \quad \dashrightarrow \frak{{8}^{2( - 4)} } \\ \\ \quad \dashrightarrow \frak{ {8}^{( - 8)} } \\ \rm{now \: as \: the \: exponent \: is \: in \: negative \: so \: we \: need \: to \: bring \: 8 \: down \: in \:} \\ \rm{ form \: of \: denominator} \\ \\ \rm{so \: we \: get \: as} : \\ \\ \quad\hookrightarrow \frak{ \frac{1}{ {8}^{8}}} \\ \rm{as \: the \: exponent \: is \: 8 \: so \: we \: get \: to \: know \: that \: 8 \: is \: multplied \: 8 \: times \: with \: 8.} \\ \quad\hookrightarrow\frak{ \frac{1}{8 \cdot8 \cdot8 \cdot8\cdot8\cdot8\cdot8\cdot8}} \\ \\ \therefore \underline{ \boxed{ \sf{ \blue{option \: c} \: i.e.} \: \blue{\frak{\frac{1}{8 \cdot8 \cdot8 \cdot8\cdot8\cdot8\cdot8\cdot8}}} \: is \: the \: \blue{correct \: answer}}}[/tex]

is the negative square root 400 rational or irrational

Answers

Answer:

Step-by-step explanation:

Rational

Answer:

Rational

Step-by-step explanation:

20 x 20 is 400 so 20 is a rational number

help please??????????????????

Answers

Answer:

-5 and 2

-2 and -1

-3 and 0

There is no shortcut to solving this type of problem. You just have to use trial and error.

:)

Answer:

-2+ (-3)

-5+ 0

-1+ (-2)+ (-2)

Hope this helps!

LMK if it does

Phil is riding his bike. He rides 58 miles in 4 hours, 72.5 miles in 5 hours, and 87 miles in 6 hours. Find the
constant of proportionality and write an equation to describe the situation. Let x represent the number of
hours.
The constant of proportionality is k =
The equation that describes the relationship is y =

Answers

Answer:

58 divided by 4 = 14. 5 mph

72.5 Divided by 4 = 14.5 mph

87 divided by 6 = 14.5 mph

k = 14.5 mph

Y= Kx = 14.5X

answer is 14.5 and 14.5X

Step-by-step explanation:

what is the right equation of the graph

Answers

Answer:

It's D)

C is incorrect because the constant is + 1, not - 8

A is incorrect because the f doesn't go up by 2 for every x value

B is incorrect because 2/3 * 2 would be 4/3 which is 1 1/3, which is wrong because g goes up by 2 every x.

D is correct because f goes up by 1/3, and the y-intercept is 1 (Where the line meets when the x-axis is 0) and 1/3 * 6x is 6x/3 which is 2x, then add the y-intercept to the equation, which should be 2x + 1

It cost Chloe $9.20 to send 92 text messages. How many text messages did she send if she spent $18.00?
who know plz plz !!

Answers

Answer:

180 texts

Explanation:

mutiply 92 by 0.10 and you'll get 9.2

So each text costs 10 cents.

Which of the following travel in waves? Select all that apply.

1. Air
2. Light
3. Scent
4. Sound

Answers

4. Sound I think correct answer.

Answer:

Sound and Light

Step-by-step explanation:

Just did this and got it right!!

Hope it helps you!!!  :)

What time does the clock show?
12
11
1
2
: 10
9
3
8
4
7
5
6
.

Answers

Answer:

it would have to be 5:30 if not then 5:00 but i really think it is 5:30

Step-by-step explanation:

it has the small hand behind the 6 and the big hand at 6 so the would be 30 minutes so for that reason i say 5:30

A HORIZONTAL line passes through point (-3, -1). Find the equation of this line. A) x = 1 B) x = 3 C) y = -1 D) y = 1

Answers

Answer: C) y = -1

Step-by-step explanation:

A horizontal line is represented by y = a constant.  As such, the line must be    y = -1, because the given point is (-3, -1), which has a y-coordinate of -1.

Answer:

D y=-1

Step-by-step explanation:

In horizontal lines, the equation is y=b. B is the location of the y-axis where the line crosses through it. Hope this helps :)

Given: 3x < -6.



Choose the solution set.

{x | x > -2}
{x | x < -2}
{x | x > 2}
{x | x < 2}

Answers

Answer:

First divide 3 on both sides to get x by itself, now you have x < -2.

Step-by-step explanation:

Hope this helps :)

Admit it, you're waiting for something that has no chance of happening.
Alone, I feel sad. ...
Behind every “it's okay” is a little pain.
Clowns need laughter too.
Do you ever think about your well-being and realize how not okay you are?
Drowning in a whirlpool of emotions.

Answers

Answer:

no.

Step-by-step explanation:

no. thanks.

..........

..

Which point is in the graphed solution set of this system of inequalities?
4x-3y<12
6x+3y>5

A. (2,2) B. (0,-6) C. (2,-1) D. (-2,0)

Answers

Answer:

01110100 01101000 01100101 00100000 01101101 01100001 01110100 01110010 01101001 01111000

Step-by-step explanation:

PLZ HELP ASAP I GIVE BRAINLIEST AND POINTS PLZ DONT POST LINKS
LOOK AT THE PICTURE

Answers

Answer:

look at the picture..................

[tex]\\ \rm\leadsto (aa^2a^3)/(a\div a^2)^{-1}[/tex]

[tex]\\ \rm\leadsto \dfrac{a^{1+2+3}}{(a^{-1})^{-1}}[/tex]

[tex]\\ \rm\leadsto \dfrac{a^6}{a}[/tex]

[tex]\\ \rm\leadsto a^5[/tex]

volume of a cube is 343 cm cube . find the edge​

Answers

Answer:

Edge: 7 cm

Step-by-step explanation:

Cubic root of 343 = 7

125 divided by 15 °°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

Answers

Answer:

8.3(3333333333333333)

Step-by-step explanation:

52x+3 =
3x+2+4x-3-5x-1=
x-5x+4=

Answers

Answer:

x= -3/52

x= 2

x= -1

Step-by-step explanation:

number 1

52x+3=0

52x=-3

x=-3/52

number 2

2x+2+4x-3-5x-1=0

x-2=0

x=2

number 3

x-5x+4=0

4x+4=0

4x=-4

x=-1

Alg 2-7_2 BR Trigonometry
To approach the runway, a pilot of a small plane must begin a 5° descent starting from a height of 1732 ff above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach( how far does the airplane have to fly)?

0 3.7 mi
0 3.8 mi
0 0.3 mi
0 19,872.5 mi

Answers

Answer:  Choice B)  3.8 miles

==============================================================

Explanation:

Check out the diagram below.

Those pair of 5 degree angles shown are congruent alternate interior angles. We'll use the sine rule to find the hypotenuse x (which is some measurement in feet).

sin(angle) = opposite/hypotenuse

sin(5) = 1732/x

x*sin(5) = 1732

x = 1732/sin(5)

x = 19,872.4713415001 approximately

x = 19,872.5

It's tempting to say that choice D is the final answer. However, the result we just got is in feet, not in miles. To convert from feet to miles, we divide by 5280.

19,872.5 ft = (19,872.5)/5280 = 3.7637 miles

That then rounds to the final answer of 3.8 miles (choice B).

------------

Alternatively, you can convert 1732 ft to miles to get roughly 1732/5280 = 0.328 miles. Then you should solve this equation for x

sin(5) = 0.328/x

it should lead you to x = 3.8 miles

any smart people that know math know whats going on

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

What other information do you need in order to prove the triangles congruent using the SAS Postulate?

Answers

Answer:

AC is perpendicular to BD.

Further explanation

We observe that both the ABC triangle and the ADC triangle have the same AC side length. Therefore we know that  is reflexive.

The length of the base of the triangle is the same, i.e., .

In order to prove the triangles congruent using the SAS congruence postulate, we need the other information, namely . Thus we get ∠ACB = ∠ACD = 90°.

Conclusions for the SAS Congruent Postulate from this problem:

∠ACB = ∠ACD

- - - - - - - - - -

The following is not other or additional information along with the reasons.

∠CBA = ∠CDA no, because that is AAS with ∠ACB = ∠ACD and  

∠BAC = ∠DAC no, because that is ASA with  and ∠ACB = ∠ACD.

no, because already marked.

- - - - - - - - - -

Notes

The SAS (Side-Angle-Side) postulate for the congruent triangles: two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle; the included angle properly represents the angle formed by two sides.

The ASA (Angle-Side-Angle) postulate for the congruent triangles: two angles and the included side of one triangle are congruent to two angles and the included side of another triangle; the included side properly represents the side between the vertices of the two angles.  

The SSS (Side-Side-Side) postulate for the congruent triangles: all three sides in one triangle are congruent to the corresponding sides within the other.

The AAS (Angle-Angle-Side) postulate for the congruent triangles: two pairs of corresponding angles and a pair of opposite sides are equal in both triangles.  

Learn more

Which shows two triangles that are congruent by ASA?  brainly.com/question/8876876  

Step-by-step explanation:

Shamika earns $25.75 one week. The next week she earns $37.80, and she spends $32.How much money does Shamika have from these two weeks?

Answers

Answer: $31.55

Step-by-step explanation:

$25.75 + 37.80 - 32.00 = $31.55

What is the measure of

Answers

Answer:

45 degrees

Step-by-step explanation:

90+45+45=180 degrees

:))

Answer:

[tex]m\angle A=45\textdegree[/tex]

Step-by-step explanation:

All triangles have a sum of 180°. The problem shows us that two of the angles are 90° and 45°. Therefore, the last angle is 45°.

[tex]m\angle A+45+90=180\\m\angle A+135=180\\m\angle A=45[/tex]

(2^4x+4)÷(2^x+1)
60 POINTS
BRANLIEST IF RIGHT

Answers

Answer:

[tex]\frac{2^4^x + 4}{2^x + 1}[/tex]

The file includes the input of your equation, comment if the equation you input is a mistake.

Answer:

2 ^ 3(x+1)

Step-by-step explanation:

Assuming  2^(4x+4) / 2 ^(x+1)

when bases are equal and exponents are in division it becomes subtraction

=> 2 ^ (4x + 4 - (x + 1) )

=> 2 ^ (4x + 4 -x - 1)

=> 2 ^ (3x + 3)

=> 2 ^ 3(x+1)

=> [tex]2^{3(x+1)}[/tex]

5.3.21

Write an equation in slope-intercept form of the line with the given slope m and y-intercept b.

9

m= -4b=

Enter the equation of the line in slope-intercept form.

(Do not factor. Use integers or fractions for any numbers in the equation.)

Answers

Answer:

y = -4x + 9

Step-by-step explanation:

A media organization is interested in reporting election results in a congressional election prior to the final tally of votes which will not occur until later in the evening. The organization randomly selects several polling places across the district asking voters whom they voted for. The type of poll being used in this scenario is known as an exit poll Answer A: an exit poll A a benchmark poll Answer B: a benchmark poll B an opinion poll Answer C: an opinion poll C a tracking poll

Answers

The name which is given to this type of poll which is being described in this scenario is known as:

A. An exit poll

According to the given question, we are asked to state the name which is given to this type of poll which is being described in this scenario where a media organisation asks people who they voted for.

As a result of this, we can see that the type of poll which was used in this described scenario above is known as an exit poll because it is used to get the poll of the voters just after they have left the polling stations.

Therefore, the correct answer is option A

Read more here:

https://brainly.com/question/22435957

Help meeeeeeeeeeee PLS ASAP

Answers

Answer:

A

Step-by-step explanation:

Answer:

angle 1 and angle 5

Step-by-step explanation:

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The husbands, claiming their rights, plant themselves in their poor lodgings, frighten them into paying tribute by taking from them the children, and run these overtasked women into debt. Such instances add up by scores within my own memory. I have seen the husband who had stained himself by a long course of low vice, till his wife was wearied from her heroic forgiveness. His treachery made any effort to forgive him useless. To be able to provide bread for herself and her children, she had to be separate from his ill fame. I have known this kind of man to install himself in the chamber of a woman who loathed him and say she should never take food without his company. I have known these kinds of men to steal their children, whom they knew they had no means to maintain, take them into corrupt company, and to expose them to bodily danger, just to assert their power over their wives. 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Complete the following sentence with the correct form of the verbs in brackets Complete the table with statements about the Federalist and the Anti-Federalist positions on each issue (one to three statements for each issue). Use the websites listed to find information, or look for your own sources. You might also want to go back and refer to the lessons in this unit for additional information.Debated Issue Federalists Anti-FederalistsBill of Rights They opposed a bill of rights in the Constitution because they thought the state constitutions guaranteed individual rights. They agreed to add the Bill of Rights as a condition of ratification. They believed that a bill of rights needed to be in the Constitution to guarantee that the new federal government would not take away those rights. 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