Which of the following inequalities matches the graph?

Which Of The Following Inequalities Matches The Graph?

Answers

Answer 1

Answer:

6x - y < -3

Step-by-step explanation:

When graphing inequalities:

< or > = dashed line

≤ or ≥ = solid line

< or ≤ = shade below the line

> or ≥ = shade above the line

Create an equation for the line

Choose 2 points on the line:

let (x₁, y₁) = (-1, -3)let (x₂, y₂) = (0, 3)

Calculate the slope:

[tex]\sf \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{3-(-3)}{0-(-1)}=6[/tex]

Determine the equation for the line using the point-slope formula:

[tex]\implies\sf y-y_1=m(x-x_1)[/tex]

[tex]\implies \sf y-(-3)=6(x-(-1))[/tex]

[tex]\implies \sf y+3=6(x+1)[/tex]

[tex]\implies \sf y=6x+3[/tex]

As the shading is above the line:

⇒ y > 6x + 3

Compare with answer options

Rearrange each answer option to make y the subject:

Option (a)

-6x + y < 3

⇒ y < 6x + 3

Option (b)

6x + y < 3

⇒ y < -6x + 3

Option (c)

6x - y < -3

⇒ -y < -6x - 3

⇒ y > 6x + 3

Therefore, as option C matches the calculated inequality, the answer is

6x - y < -3

Answer 2

Answer:

6x - y < 3

Step-by-step explanation:

Finding the equation of the inequality :

Slope :

⇒ m = 3 - (-3) / 0 - (-1)

⇒ m = 6/1

⇒ m = 6

Y-intercept :

⇒ (0, 3)

Equation :

⇒ y = 6x + 3

Here :

⇒ Above the origin, so it is greater than ( > )

⇒ y > 6x + 3

6x - y < 3


Related Questions

The height of a burning candle can be modeled by a linear function.
Candle A has an initial height of 201 millimeters, and its height
decreases to 177 millimeters after 4 hours of burning. The height, h,
in millimeters, of Candle B can be modeled by the function
h = 290-5t, where t is the time in hours. Which of the following
statements are true? Select all that apply.
the initial

Answers

Answer:

below

Step-by-step explanation:

• We know that the initial height of Candle A is 201 millimeters and of Candle B is 290 millimeters which means the first statement is not true.

• To find the rate at which the Candle A is decreasing, we simply have to divide 201 - 177 with 4.

24 / 4 = 6

       As we can see Candle A is decreasing at a faster rate of 6 than the rate of decreasing of Candle B which is 5. This means that second statement is true.

• To find out after how many hours will the Candle B burn out we simply have to divide the initial value with the rate of change which is 5.

290 / 5 = 58

       Candle B will burn out after 58 hours. This statement is true.

• We simply have to multiply the rate of change with 10 and after that subtract the value that we get from the initial value of Candle A.

10 x 6 = 60

201 - 60 = 141

After 10 hours the height of Candle a will be 141 millimeters. This statement is true.

• We know that Candle A is burning out at a faster rate and that the Candle B was higher at start which means that

       Candle A will burn out before Candle B. This statement is true.

Find the surface area and the volume of the cylinder below.

Answers

Answer:

70

Step-by-step explanation:

10x7=70. basically, bxh base 10 height 7

Surface area is roughly 376.99cm^2
Volume is 549.78cm^3

For a charity initiative, 420 t-shirts were made; in the morning 1/3 of the t-shirts is sold and in the afternoon 4/7 of the remaining ones. How many shirts are left to sell at the end of the day?

Answers

1/3 * 420 = amount of t-shirts sold in the morning

1/3 * 420 = 420/3 = 140 t-shirts

140 t-shirts were sold, so remaining is 420 - 140

420 - 140 = 280 remaining t-shirts

4/7 * 280 = amount of t-shirts sold in the afternoon

4/7 * 280 = (280/7) * 4 = 40 * 4 = 160 t-shirts

160 t-shirts were sold, so remaining is 280 - 160

the remaining t-shirts = 120 t-shirts

120 t-shirts are left to sell at the end of the day

-6-5 (subtracting integers))​

Answers

Just adding both the numericals because they both have same sign that is negative

-6-5

-11 answer

Answer:

-11

Step-by-step explanation:

Change the minus sign to addition

6 + 5

= 11

= -11

it is negative 11 because since the signs are the same in front of the 2 numbers (negative sign) they both add together and keep the negative in front of it

Answer = -11

I'm in 7th grade and am doing high school math! Help!

Answers

Answer:

Step-by-step explanation:

(x - 5)(x + 2) = 0

x - 5 = 0

x = 5

x + 2 = 0

x = -2

x = 5, -2

Kellie bought 8 towels and spent $39.60.Each towel costs the same amount.
Part B

​What is the price, in dollars, of 11 towel?

Answers

Answer: $54.45

Step-by-step explanation:

      First, we will find the price of one towel.

-> We will divide the cost by the towels bought.

$39.60 / 8 = $4.95

     Now, we can find the price of 11 towels.

-> We will multiply the cost of one towel by 11 to find the total cost.

$4.95 * 11 = $54.45

Answer:

$54.45

Step-by-step explanation:

Given:

Number of towels = 8

Money spent on towels = $39.60

To Find:

What is the price, in dollars, of 11 towel?

Solve:

Since, each towels cost the same amount then we can divide the cost by number of towels.

39.60/8 = 4.95

Thus, Each towel costs $4.95

Then we are trying to find the price in dollars of 11 towels.

Knowing that 1 towels cost $4.95 then 11 towels:

4.95 × 11 = $54.45

Kavinsky

[tex]10/7 + 2/20 + 7-4[/tex]

Answers

[tex]\dfrac{10} 7 + \dfrac 2{20} +7 - 4\\\\\\=\dfrac{20(10)+7(2)}{140}+3\\\\\\=\dfrac{200+14+140(3)}{140}\\\\\\=\dfrac{634}{140}\\\\\\=\dfrac{317}{70}[/tex]

Complete the recursive formula of f (n)

Answers

The value of the given function will be written as:-

a) f(1)= 12

b) [tex]f(n-1)= -48(\dfrac{-1}{4})^{n-1}[/tex]

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The given function is :-

[tex]f(n)= -48(\dfrac{-1}{4} ) ^{n}[/tex]

So the value of the given function f(1) will be:-

[tex]f(1)= -48(\dfrac{-1}{4} ) ^{1}=12[/tex]

The value of the function f(n-1) will be:-

[tex]f(n-1)= -48(\dfrac{-1}{4})^{n-1}[/tex]

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Bridget can type 2400 words in 40 minutes.
Krutika can type 2750 in 50 minutes.
Jim can type 3500 words in 70 minutes.
Who types at the fastest rate of words per minute?

Answers

Answer:

bridget types at the fastest rate as he can type 60 words per minute

i need help please thanks​
I will give brainlessly

Answers

~Answer~
_____________________________________

1. yes ±4

2. no, it's between 9 and 4

3. no, it's between 25 and 9

4. yes ±7

5. yes ±11

6. no, it's between 81 and 64

~Step-by-step explanation~
_____________________________________

ok I'll walk you through this
1. x²=16
x = ±4 because (-4)(-4) is 16 and (4)(4) is also 16
4. x²=49
x=±7 because (-7)(-7)=49 and (7)(7) is also 49
5. x²=121
x=±11 because (-11)(-11)=121 and (11)(11)=121.

_____________________________________

Hope this helps and have a good day!

P.S. Brainliest :)

Determine the next two terms in the arithmetic sequence.
5, 11, 17, 23,
The sequence is add 6 so the answer is 29 and 35

Answers

Answer:

Next two will be 41, 47

Step-by-step explanation:

5+6= 11

11+6= 17

17+6= 23

23+6= 29

29+6= 35

35+6= 41

41+6= 47

Answer:

29 and 39

Step-by-step explanation:

use the dots for one and two. what is the difference between the ranges


a. 20 points
b. 5 points
c. 10 points
d. 35 points

Answers

Answer:

a. 20 points

Step-by-step explanation:

Range = Largest given value - Smallest given value.

Identifying the range of test 1

Looking at the dot plot the lowest test grade appears to be 50 while the highest is 90.

So range of test 1 = 90 - 50 = 40

Identifying the range of test 2

Looking at the plot the lowest test grade appears to be 40 while the highest appears to be 100

So range = 100 - 40 = 60

Identifying the differences between the ranges

Test 1 range : 40

Test 2 range : 60

Difference between the two : 60 - 40 = 20 points

A fair coin is flipped 120 times. Estimate the expected number of ‘heads’.

Answers

Answer:

76.47

How I did it(using a specific range)

(n, 54, 66 (120 C)) 2¹²⁰ = 0.76 × 100 ≈ 76.47

Math hw 2


Probability Distributions




pls help me with my homework!!


thanks,

Answers

In the given question, to approach this, we should have a little understanding of what is a random variable. The random variable here is the distance travelled by the tee shots in a golf.

What is a Random Variable?

A random variable is a numerical description of the outcome of a statistical experiment. A random variable that may assume only a finite number or an infinite sequence of values is said to be discrete; one that may assume any value in some interval on the real number line is said to be continuous.

We are given two scenarios in which we are to identify the random variable here.

The number of hits for the players of a baseball teamThe distance travelled by the tee shots in a golf

In the above scenarios, the random variable here is the distance travelled by the tee shots in a golf. The reason is that we can never give an exact value the distance and would lead to an assumption of a finite number of value or an infinite sequence of values to determine this.

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Please help with my math

Answers

[tex]7 \times {10}^{ - 3} [/tex]

Hopefully you got what I meant, this is easy.

The length of time it takes a worker to assemble a large product is assumed to be normally distributed. a random sample of 25 workers a were selected, and their times to assemble the product were recorded. the mean and variance for this sample were 3 and 0.5 hours, respectively.

the 90 percent confidence interval for the mean length of time (in hours) it takes a worker to assemble the product _____ hours to ______ hours

Answers

Using the t-distribution, it is found that the 90% confidence interval is of  2.71 hours to 3.29 hours.

What is a t-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 25 - 1 = 24 df, is t = 2.0639.

The other parameters are given as follows:

[tex]\overline{x} = 3, s = \sqrt{0.5} = 0.707, n = 25[/tex]

Hence the bounds of the interval are given as follows:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 3 - 2.0639\frac{0.707}{\sqrt{25}} = 2.71[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 3 + 2.0639\frac{0.707}{\sqrt{25}} = 3.29[/tex]

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Which one 3, 4, 6, or 7

Answers

Answer:

i think that it is 6

Step-by-step explanation:

hope this helps

Please give me Brainlist

Simplify 12.4 and 12.39

Answers

Answer:

12.4 and 12.39 = 4.836x12

Step-by-step explanation:

From her eye, which stands 1.69 meters above the ground, Sadie measures the angle
of elevation to the top of a prominent skyscraper to be 36º. If she is standing at a
horizontal distance of 275 meters from the base of the skyscraper, what is the height
of the skyscraper? Round your answer to the nearest hundredth of a meter if
necessary.

Answers

The height of the skyscraper is 201.5 meters, if the angle of elevation to the top of a prominent skyscraper to be 36º

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

Angle of elevation = 36 degree

Horizontal distance of 275 meters from the base of the skyscraper

From the tan ratio:

tan36 = x/275

x = 275(tan36)

x = 199.79 meters

The height of the skyscraper = 199.79+ 1.69 = 201.48 ≈ 201.5 meters

Thus, the height of the skyscraper is 201.5 meters if the angle of elevation to the top of a prominent skyscraper to be 36º

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Answer:I just got it wrong the answer is 201.49

Step-by-step explanation:

C. A store window has a perimeter of 18 feet. The width
is 6 feet. Find the length and the area.
211 +18).

Answers

The length would be 3 feet and the area would also be 18 feet
18-6-6=6/2=3
The length is 3
The area is 18

Can someone help me with the steps to create the formula? It involves quadratics​

Answers

The formula of the quadratic function passing through the points (-2,0), (8,0) and (2, -24) is f(x) = x² - 6x - 16

How to create the formula?

The points are given as:

(-2,0) , (8,0) and (2, -24)

The points (-2,0) and (8,0) are the zeros of the function.

So, we have:

f(x) = a(x + 2)(x -8)

Substitute (2, -24) in the above equation

-24 = a(2 + 2)(2 -8)

Evaluate the sum and the difference

-24 = a(4)(-6)

Divide both sides by -24

a = 1

Substitute a = 1 in f(x) = a(x + 2)(x -8)

f(x) = (x + 2)(x -8)

Expand

f(x) = x² + 2x - 8x - 16

Evaluate the like terms

f(x) = x² - 6x - 16

Hence, the formula of the quadratic function is f(x) = x² - 6x - 16

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A savings account offers 0.8% interest compounded bimonthly. If Bob deposited $300 into this account, how much interest will he earn after 10 years?​

Answers

Answer:

$288

Step-by-step explanation:

We first need to find what 0.8% of 300 makes and to do that we multiply 300 with 0.8 and divide that by 100

300*(0.8)/100 = 2.4 this is the monthly interest

Now we need to find how much it'd be after 10 years

There are 10*12 = 120 months in 10 years

120*(2.4) = 288 is the interest Bob will earn after 10 years

What are the solutions of the equation x^4+3x^2+2=0? Use u substitution to solve.

Answers

Answer:

Option B

Step-by-step explanation:

Solve the equation in steps below

[tex]x^4+3x^2+2=0[/tex][tex]x^4+x^2+2x^2+2=0[/tex][tex]x^2(x^2+1)+2(x^2+1)=0[/tex][tex](x^2+2)(x^2+1) = 0[/tex][tex]x^2+2=0[/tex] or [tex]x^2+1=0[/tex][tex]x^2=-2[/tex] or [tex]x^2=-1[/tex][tex]x=\sqrt{-2}[/tex] or [tex]x=\sqrt{-1}[/tex][tex]x=\pm\ i\sqrt{2}[/tex] or [tex]x=\pm\ i[/tex]

Correct choice is B

+) First, simplify the fraction.
180
?
t
4
m

Answers

Answer:

hope this will help you

[tex] \frac{180}{t} = \frac{?}{4} \\ t = 180 \times 4 \\ t = 720[/tex]

NEED HELP PLEASE ANSWER ASAP! (43)

Answers

Answer:

    43. (2) $2.00

Step-by-step explanation:

Question 43

Let cheese pizza be c and mushroom pizza be m3c + 4m = 12.503c + 2m = 8.50

Subtract Equation 2 from Equation 1.

3c + 4m - 3c - 2m = 12.50 - 8.502m = 4.00m = $2.00(2) $2.00

Answer:

(2)  $2.00

Step-by-step explanation:

Jack's order

3 slices of cheese pizza and 4 slices of mushroom pizza = $12.50

Grace's order

3 slices of cheese pizza and 2 slices of mushroom pizza = $8.50

The difference between the two orders is 2 slices of mushroom pizza.

The difference between the cost of the two orders is:

$12.50 - $8.50 = $4.00

Therefore, 2 slices of mushroom pizza costs $4.00

So the cost of 1 slice of mushroom pizza is:

$4.00 ÷ 2 = $2.00


PLEASE HELP ASAP!! DUE BY THE END OF THE NIGHT (LOOK AT PICTURE)

Answers

Its C I already did it in my math class
Definitely C happy you got it done

What is the surface area of the prism in square inches? A prism is made up of 3 rectangles and 2 triangles. A rectangle has a base of 14 inches and height of 8 inches. A rectangle has a base of 14 inches and height of 5 inches. A rectangle has a base of 14 inches and height of 5 inches. 2 triangles have a base of 8 inches and height of 3 inches. 60 square inches 168 square inches 276 square inches 304 square inches.

Answers

Answer:

c: 275

Step-by-step explanation:

5 The diagram shows three identical shapes. į of
shape A is shaded and of shape C is shaded.
What fraction of shape B is shaded? ......

Answers

Answer:

7/24

Step-by-step explanation:

The total amount of unshaded area of shape B is the sum of the areas of the unshaded regions of shapes A and B.

Unshaded area in A: 1 - 2/3 = 1/3

Unshaded area in C: 1 - 5/8 = 3/8

Sum of unshaded areas of A and B: 1/3 + 3/8 = 8/24 + 9/24 = 17/24

Shaded area of B: 1 - 17/24 = 24/24 - 17/24 = 7/24

Find the length of the third side. If necessary, round to the nearest tenth.

Answers

19.3
It’s a Pythagorean theorem problem, so you add together the squares of each leg to get the square of the hypotenuse. In this case you have to do it backwards by subtracting one leg squared from the hypotenuse squared

Keller has $15 from babysitting. He spends $3 on a cat toy and
$3 on markers.
Match the model to the correct equation showing how much
money Keller has left.
$15
15 = m +3+3
15 + 6 = m
15 - 3 - 3 m
3+3+15 m
Subre

Answers

Answer:

c.

Step-by-step explanation:

15-3-3=9...........

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