Which equation matches the table?

Answer:

First Image: Choice B

Second Image: Choice B

Step-by-step explanation:

The equation of the line is written in the slope-intercept form,

y = mx + b

where m represents the slope

            b represents the y-intercept

First Image:

In our equation, y = 0.1x + 1,

we see that the y-intercept of the line is 1 and the slope is 0.1

We can simple plug in the x values to test if the table is true:

x = -1

y = 0.1x + 1 → y = 0.1(-1) + 1 → y = -0.1 + 1 → y = 0.9

This proves choices A and C are INCORRECT

The next point is at x = 10

y = 0.1x + 1 → y = 0.1(10) + 1 → y = 1 + 1 → y = 2

Making choice D INCORRECT

Hence, you've selected the correct choice (B)!

Second Image:

In our equation, y = 3x + 2,

we see that the y-intercept of the line is 2 and the slope is 3

Choice A is INCORRECT due to (0,0) not logical as the y-intercept is 2

Choice B is CORRECT due to (1/3, 3) not logical as that 3 = 3(1/3) + 2

6 = 3(4/3) + 2 → 6 = 4 + 2.     → 6 = 6

3 = 3(1/3) + 2 → → 3 = 1 + 2.   → 3 = 3

20 = 3(6) + 2 → 20 = 18 + 2.  → 20 = 20

Choice C is INCORRECT due to (-6, 20) not logical as that 20 = 3(-6) + 2

Choice D is INCORRECT due to (10, 4) not logical as that 10 = 3(4) + 2

Learn more about slope and y-intercept here: brainly.com/question/12763756

Answer:

4

Step-by-step explanation:

if x+2 is a factor of the above expression then,

x=-2

so putting the value of x in above expression we get,

(-2)^3+2×(-2)^2+2×(-2)+k=0

or,-8+8-4+k=0

k=4

Answer:

Step-by-step explanation:

If (x + 2) is a factor of a polynomial then ( - 2 ) is the zero of that polynomial ⇒ ( - 2 )³ + 2( - 2 )² + 2( - 2 ) + k = 0 ⇒ k = - 4

Step-by-step explanation:

Step 1:  Answer part a

He has 3.5 pounds of clay and each bowl is 0.5 pounds of clay.  Therefore, 3.5 / 0.5 will give us the amount of bowls he can make.  

3.5 / 0.5

7

Answer: He can make 7 bowls

Step 2:  Answer part b

I don't really understand what the questions asking about how much clay does he need to make with all of his clay.  If you explain what that means I can answer it.

If you meant how much mugs he is able to make → 14

If you meant how much clay he needs to have for each mug → 0.25

Answer & Explanation:

Part A

It gives us 2 numbers to determined how much bowls he can make.

He need 0.5 of clay to make 1 bowl and he has 3.5 pounds of clay.

\(3.5\) ÷ \(0.5\)

= \(7\)

He can make 7 bowls out of the 3.5 pounds of clay that he has.

Part B

This question is very confusing...

He can make 1 mug with 0.25 pounds of clay.

\(3.5\) ÷ \(0.25\)

= \(14\)

He can make 14 mugs if he uses all of his clay.

hope this helps

give brainliest if you please

Answer:

option A is the correct answer mate.

The three statistical questions are: A. How many hours of sleep per night do students usually get when they have school the next day? B and E.

A statistical question is one that may be resolved via the collection and examination of data. The question frequently incorporates a variable that might differ from person to person or scenario to situation, and the solution is not always the same. The words "how many," "what is the average," "what is the range," "what is the distribution," etc. are frequently used in statistical queries.

The three statistical questions are:

How many hours of sleep per night do students usually get when they have school the next day?

What are the heart rates of the students in Mr. Peterson's physical education class?

How many runs did the New York Yankees score in their last game?

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Answer:

Step-by-step explanation:

The difference between their yearly incomes is $31,304.

To calculate each person's yearly income, we need to multiply their weekly income by the number of weeks in a year. Assuming there are 52 weeks in a year, the yearly income can be calculated as follows:

For the student who drops out of high school:

Yearly Income = Weekly Income x Number of Weeks

= 451 x 52

= 23,452

For someone with a bachelor's degree:

Yearly Income = Weekly Income x Number of Weeks

= 1053 x 52

= 54,756

The difference between their yearly incomes can be found by subtracting the student's yearly income from the bachelor's degree holder's yearly income:

Difference = Bachelor's Yearly Income - Student's Yearly Income

= 54,756 - 23,452

= 31,304

Therefore, the difference between their yearly incomes is $31,304.

It is important to note that these calculations are based on the given information and assumptions. The actual yearly incomes may vary depending on factors such as work hours, additional income sources, deductions, and other financial considerations.

Additionally, it is worth considering that educational attainment is just one factor that can influence income, and there are other variables such as experience, job type, and market conditions that may also impact individuals' earnings.

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The equation of the line perpendicular to y=1/2x-1 and passing through the point (5,6) is y = -2x + 16.

To find the equation of the line perpendicular to y=1/2x-1, we need to determine its slope. We can recall that the slope of a line in slope-intercept form, y = mx + b, is given by m, the coefficient of x. So in the given equation y=1/2x-1, the slope is 1/2.

The slope of a line perpendicular to this line will be the negative reciprocal of the slope, which means it will be -2. To see why this is true, remember that the product of the slopes of two perpendicular lines is always -1. So if the slope of the original line is m, the slope of the perpendicular line will be -1/m.

Now that we know the slope of the perpendicular line is -2, we can use the point-slope form of the equation of a line to find its equation. The point-slope form is:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line.

We are given a point on the perpendicular line, (5, 6), so we can substitute that into the equation and also substitute in the slope, -2:

y - 6 = -2(x - 5)

y - 6 = -2x + 10

y = -2x + 16

Hence, the equation of the line perpendicular to y=1/2x-1 and passing through the point (5,6) is y = -2x + 16.

To learn more about Line of Perpendicular and Slope of a line, refer to the following answers:

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Answer:

she bought five children tickets and 3 adult tickets

Answer:

Step-by-step explanation:

this triangle is regular one

Answer:

obtuse scalene triangle

\(( 7{c}^{3} {d}^{2} + 2b {c}^{2} d + ab) - ( - 4 {c}^{3} {d}^{2} + ab - 7b {c}^{2} d) \\ 7{c}^{3} {d}^{2} + 2b {c}^{2} d + ab+ 4 {c}^{3} {d}^{2} - ab + 7b {c}^{2} d) \\7{c}^{3} {d}^{2} + 4 {c}^{3} {d}^{2} + 2b {c}^{2}d + 7b {c}^{2} d + ab - ab \\ 11 {c}^{3} {d}^{2} + 9b {c}^{2} d\)

PLEASE GIVE BRAINLIEST

The number of strides the runner will make during 1 hour run will be =

10,800.

To calculate the distance or number of strides made by the runner in an

hour, the graph given above is considered as follows;

The y-axis which represents the number of strides is plotted against the x-axis which is the number of hours.

From the graph

20 minutes= 3600 strides

60 minutes = X strides

make X the subject of formula;

x= 3600×60/20

= 216000/20

= 10,800

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Answer:

1/4

Step-by-step explanation:

just add the demoniator!

Answer: 1

Step-by-step explanation:

1/2 + 1/2 only add the top numbers using the same denominator, you end with this

2/2 then divide

2/2 = 1

Answer:

72

Step-by-step explanation:

let the unknown number be " y "

thus, 72 hundreds multipled by 7 makes 504

Answer:

5

Step-by-step explanation:

Answer:

8.34

Step-by-step explanation:

i got it wrong and it told me the right answer lol

Step-by-step explanation:

he has 60%

so he needs 40%

40% of 120

of is ×

40% × 120

40% as a decimal is

put answer in comments

We know that there are four prime numbers in a six-sided die, which are 1, 2, 3, 5.

So, the probability would be

The statement that best describes the relationship between the two figures is that Figure RST is congruent to figure R'S'T'

Explanation

There is no cha

Answer:

Chickens

Step-by-step explanation:

The 4th one I'm sorry if my answers wrong i tried to understand it and thats what i got

April bought 16 kilograms of soil in total.

We need to add the amounts of soil she used for her violets and tulips. Since April used kilograms for violets and tulips, we need to convert the 3,000 grams to kilograms before we can add them up.

April bought:

9 kilograms of soil for violets

4 kilograms of soil for tulips

3 kilograms of soil for daisies (since 3,000 grams is 3 kilograms)

Therefore, April bought 16 kilograms of soil in total.

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Answer:

\(\frac{10}{56} = 0.1786\) probability that Shaun loses both games

Step-by-step explanation:

Games are independent, so we find each separate probability, and multiply them.

In a chess club the probability that Shaun will beat Mike is 3/8.

So \(1 - \frac{3}{8} = \frac{8}{8} - \frac{3}{8} = \frac{5}{8}\) probability that Shaun loses.

The probability that Shaun will beat Tim is 5/7 .

So \(1 - \frac{5}{7} = \frac{2}{7}\) probability that Shaun loses.

What is the probability that Shaun loses both games?

This is:

\(p = \frac{5}{8} \times \frac{2}{7} = \frac{5*2}{8*7} = \frac{10}{56} = 0.1786\)

\(\frac{10}{56} = 0.1786\) probability that Shaun loses both games

Answer:

the y is 3 not -3 he did 1/3x not just x. the slope and the y axis are wrong

Step-by-step explanation:

Answer:

It is supposed to be going down instead of up seeing that it is "x" which automatically represents 1x since you can't put x and have it represent 0. The next mistake is that he said -9 is bigger when it goes lower since the first part is (1,-3) while the -9 part is lower at (0,-9) Hope this helped!  :)

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

First, arrange the given set of numbers from least to greatest.

76,85,97,83-76,83,85,97

The Median is essentially the "middle" number of the given set of data. If there are two numbers in the middle, you'd simply add them together, and divide them by two.

83+85=168

168/2=84

Therefore, 84 is the answer.

Answer:

Step-by-step explanation:

To find the median, you list the numbers from least to greatest.

76, 83, 85, 97

Once you have them listed, you find the middle number. Since there is no exact number, you would pick the middle two. Then you would find the number in between those two. This can be done by filling in the missing numbers

76, 83, 84, 85, 97

Now that there is a middle number, that would be your answer.

Answer:

(0,1)

Step-by-step explanation:

The coordinates of B are (-7,-2).

What do you mean by x and y coordinates?

The x and y coordinates are a component of the x-axis and y-axis in a 2D space in the Cartesian coordinate system. The x and y coordinates for a point in space are expressed as an ordered pair (x, y). The position of the point on the x-axis is shown by the first number, while its location on the y-axis is indicated by the second number.

According to the given data in the question,

if M is the location where line segment AB meets its midpoint.

Then, we will using the midpoint formula,

\((-5,2)=(\frac{-3+x}{2},\frac{6+y}{2})..............(1)\)

Putting the x-coordinates in (1),

\(-5=\frac{-3+x}{2}\\ -10=-3+x\\-10+3=x\\x=-7\)

Similarly, putting the y-coordinates in (1),

\(2=\frac{6+y}{2} \\4=6+y\\4-6=y\\y=-2\)

Hence, the coordinates of B are (-7,-2).

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Step-by-step explanation:

In a parallelogram

base (b) = 1.4 feet

height (h) = 0.32 feet

Now

Area of the parallelogram

= b * h

= 1.4 * 0.32

= 0.448 feet²

Hope it will help :)