Week 3: Linear Functions
tranet started riding her bicycle 5 meters from her house. Her friends used a table to record the distance
traveled by Janet in 1-second intervals.
Time (seconds)
0
1
2
3
4
5
6
Distance (meters)
5
6.5
8
9.5
11
12.5
14
Which equation represents the time, x, and distance, y, as shown in the table?
A. y = 1.5x – 5
B. y = 5x - 1.5
C. y = 5x + 1.5
D. y = 1.5x + 5

Answer: 112 feet

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]

Let's solve ~

Assume the number to be x, and let's proceed as per the given information :

[tex]\qquad \tt \dashrightarrow \: \dfrac{20}{100} \times x = 6 [/tex]

[tex]\qquad \tt \dashrightarrow \: \dfrac{x}{5} = 6[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 5 \times 6[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 30[/tex]

So, the correct choice is C

20% of a number= 6.

the unknown number.

let the unknown be x.

[tex]20\% \times x = 6[/tex]

[tex] \frac{20}{100} = 6[/tex]

[tex]x = 6 \times \frac{100}{20} [/tex]

[tex]x = 30[/tex]

therefore, 20% percent of 30 is 6.

answer= option c

Answer:

Line D

Step-by-step explanation:

Let's see how much points fall under each line's region

Majority of points lie under line D

Hence line D should be correct

-4x+11y=-50

[tex]x = \frac{25}{2} + \frac{11y}{4} [/tex]

Answer:

6x4=24 as a fraction it could be 24/1 48/2 72/3 etc.

Step-by-step explanation:

Answer: A.) 0.9

Step-by-step explanation: hope this helps xlXCherryColaXlx. have a great day :3...(pls mark me brainliest)

Answer:

Since , we're given three distinct measures , we can make out that the dimensions are most probably of a cuboid.

[tex]Volume \: of \: cuboid = l \times b \times h \\ \\ \implies \: 8 \times 9 \times 3 \\ \\ \bold\red{\implies216 \: units^{3}}[/tex]

hope helpful ~

Answer:

A.  How many vehicles do Boston residents have per household?

Step-by-step explanation:

A statistical question is that question, which is answered by collecting variable data. For example - “How old are the students in your neighborhood?”

So, here the question that is not statistical is How many vehicles do Boston residents have per household? As its answer can be 1 or 2 at maximum.

Whereas;

B.  How much money do Boston residents spend on transportation every day? This is statistical as you need to conduct survey for this to collect data.

C.  How many Boston residents use public transportation?  This also needs survey to collect data and data will be variable.

D.  How many times per month do Boston residents use public transportation?  This is also statistical as you have to gather data from many people.

E.  How long does it take for Boston residents to travel to work? This is also statistical as everyone will have a variable answer depending on the distance they travel.

Answer:

A

Step-by-step explanation:

have a good day

Answer:

  (A)  7/(m+4)

Step-by-step explanation:

When fractions have a common denominator, you add them by adding their numerators and using that sum with the common denominator.

Here, you may be able to cancel a common factor from numerator and denominator to simplify the expression further.

  [tex]\dfrac{4m-17}{m^2-16}+\dfrac{3m-11}{m^2-16}=\dfrac{4m-17+3m-11}{m^2-16}=\dfrac{7m-28}{m^2-16}\\\\=\dfrac{7(m-4)}{(m+4)(m-4)}=\boxed{\dfrac{7}{m+4}}[/tex]

Answer:

16

Step-by-step explanation:

6.48 + 9.34= 15.82 so when u round the number it 16 so the estimate is 16.

Answer:

See below

Step-by-step explanation:

100 ft in 4 min     =   25 ft/min

125 feet in 5 min =   25 ft min

so the height is   d = 25 * m           d = height   m = minutes

25* 8 = 200 feet

Answer:

4, -4, 10

Step-by-step explanation:

on these types of questions you can take each seperate parenthesis and equate it to 0

for example:

x^2 - 16 = 0

hence,

x^2 = 16

x = 4 or -4

second parenthesis:

10 - x = 0

x = 10

make sure to ask if you need any further guidance :)

Answer:

The formula for area of a trapezoid is (b_{1} + b_{2})*\frac{1}{2} h=A(b

1

+b

2

)∗

2

1

h=A

b=base

h=height AKA altitude.

A=area.

Base 1 is 483.

Base 2 is 405.

483+405=888

888×320 (h) = 284160

284160 × \frac{1}{2}

2

1

= 142080

The approximate area of Nevada is 142080 square miles.

♡ Hope this helps! ♡

❀ Ishu ❀

please mark brainlist

Y-INTERCEPT

[tex]y = 5x^2 - 16x + 10[/tex]

The y-intercept is where the equation/curve/parabola cosses the y-axis.

The y-axis is where x = 0. (The x-axis is where y = 0)

To find the y-intercept:

[tex]\text{y-axis} \rightarrow \text{x = 0} \rightarrow y = 5(0)^2 -16(0) + 10 = 10[/tex]

The y-intercept must be at (0, 10)

X-INTERCEPT (ROOTS/SOLUTIONS)

[tex]y = 5x^2 - 16x + 10\\\text{make it equal 0}\\y = 0\\\therefore 5x^2 - 16x + 10 = 0[/tex]

We need to use the quadratic formula

The quadratic formula helps us find what values of [tex]x[/tex] make the equation = 0

Quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\frac{-(-16) + \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\\x = \frac{16 + \sqrt{256-200}}{10}\\x = \frac{16 + \sqrt{56}}{10}\\x = \frac{16 + 2\sqrt{14}}{10}\\x = \frac{8 + \sqrt{14}}{5}\\\\\\x=\frac{-(-16) - \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\text{doing the same thing...}\\\text{end up with...}\\x = \frac{8 - \sqrt{14}}{5}\\[/tex]

The x-intercepts are at:

[tex](\frac{8 + \sqrt{14}}{5}, 0)\\(\frac{8 - \sqrt{14}}{5}, 0)[/tex]

Answer:

z=10

Step-by-step explanation:

We know that the ratio 7:21 is equal to the ratio of 10:3z.

Let's model that in proportions:

7               10

-       =        -

21             3z

Now that the equation is in proportional form, we can cross-multiply to find the value of z.

7 * 3z = 21 * 10 - Multiply both sides

21z = 210 - Divide both sides by 21

z=10

The answer is z=10.

Answer:

choice B

Step-by-step explanation:

using the formula:

[tex]theta \div 360\pi \times r ^{2} [/tex]

Answer:

B

Step-by-step explanation:

Formula

[tex]\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]

Solution

Given:

[tex]\begin{aligned}\implies \textsf{Area} & =\left(\dfrac{60^{\circ}}{360^{\circ}}\right) \pi \cdot 9^2\\\\ & = \dfrac16 \cdot \pi \cdot81\\\\ & = \dfrac{81}{6} \pi\\\\ & = \dfrac{27}{2} \pi \: \sf cm^2\end{aligned}[/tex]

Answer:

120 yards cubed

Step-by-step explanation:

brainliest please

Step-by-step explanation:

it needs 4×2 = 8 cubes asking the length, 5×2 = 10 cubes along the width, and 3 1/2 × 2 = 7 cubes along the height.

so, altogether

8×10×7 = 560 cubes

Answer:

Two rays (or lines) that begin at the same point or share same endpoint. If the lines have endpoints, they're rays. If not, they're lines.

So, the prime factorization of 567 can be written as 34 × 71 where 3, 7 are prime.

22 people

333 chocolate bars

the amount of chocolate each person get.

[tex] \frac{333}{22} [/tex]

[tex] = 15.1363636364[/tex]

[tex] = 15.14[/tex]

[tex] = \frac{15.14}{1} [/tex]

[tex] \frac{15.14}{1} \times \frac{100}{100} [/tex]

[tex] = \frac{1514}{100} [/tex]

[tex] \frac{1514 \div 2}{100 \div 2} [/tex]

[tex] = \frac{757}{50} [/tex]

[tex] = 15 \frac{7}{50} [/tex]

Answer:

[tex]15\frac{7}{50}[/tex]

Step-by-step explanation:

Given that:

22 people share 333 chocolate bars equally. Each chocolate bar is the same size.

To Find:

About how much chocolate does each person get?

Solve:

Since, it given us that 22 people share 333 chocolate bars equally and how much chocolate does each person gets. Therefore we have to divide the chocolate bars by the number of people.

 [tex]22\overline{|\smallspace333}\:\:\:\:\:\:[/tex]

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace1\emptyspace5.13636\:\:\:\:\:\:\:\:\:\:\:\\ 22\overline{|\smallspace333.0}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace2\emptyspace2}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace1\emptyspace1\emptyspace3\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace1\emptyspace1\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace3\emptyspace0\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

       [tex]\underline{\emptyspace2\emptyspace2}\\80\\\underline{\emptyspace6\emptyspace6}\\140\\\underline{\emptyspace13\emptyspace2}\\8[/tex]

Rounding to nearest tenth: 15.14

Now put 15.14 over 1

[tex]\frac{15.14}{1}[/tex]

Multiply both by 100

[tex]\frac{15.14}{1}\times\frac{100}{100}[/tex]

[tex]=\frac{1514}{100}[/tex]

[tex]=\frac{1514\div2}{100\div2}[/tex]

[tex]=\frac{757}{50}[/tex]

Turning into mixed number:

[tex]15\frac{7}{50}[/tex]

Thus, each person get about [tex]15\frac{7}{50}[/tex] chocolate

Kavinsky

The paragraph to show the comparision between two classes semester grades on the basis of the terms

is given below:

A box and whisker plot is defined as a graphical method of displaying variation in a set of data.

From the first figure, write all the values where dark point is drawn

53, 62, 80, 86, 89  

        The upper extreme is the highest value, which is 89.

        The upper quartile is 86 and the lower quartile is 62.

       = Highest - Lowest

       =89-53

       =36

From the second figure, write all the values where dark point is drawn

56, 62, 74, 89, 96

        The upper extreme is the highest value, which is 96.

       The upper quartile is 89 and the lower quartile is 62.

       = Highest - Lowest

       =96-62

       =34

From the above discussion,  

The comparision of the two classes on the basis of extremes, quartile, median, range is concluded above.

learn more about box and whisper plot here:

https://brainly.com/question/11859288

#SPJ1

Answer:

it is the domain

Step-by-step explanation:

because if you put 5x on the other side it will be a -5

Answer:

Option A is the correct answer

A. [tex](x+2\sqrt3 i)(x-2\sqrt3 i)[/tex]

Step-by-step explanation:

[tex](x + 2 \sqrt{3} i)(x - 2 \sqrt{3} i) \\ \\ = {(x)}^{2} - (2 \sqrt{3} i)^{2} \\ \\ = {x}^{2} - {(2)}^{2} {( \sqrt{3} )}^{2} {i}^{2} \\ \\ = {x}^{2} -12 {i}^{2} \\ \\ = {x}^{2} - 12( - 1) \\ (\because i^2=-1) \\ = {x}^{2} + 12[/tex]

Answer:

.......C........

Step-by-step explanation:

......

1. Round to the nearest whole dollar and add: 17 + 29 = $46

Estimated he spent about $46

2. subtract the two amounts from 50:

50-16.75 - 28.92 = $4.33 change back

Answer:

y = -1.25x + 3

OR
y = -1 1/4x + 3

OR

y = -5/4x + 3