Which graph shows the solution to the system of linear inequalities?
y>2/3x+3
y-<-1/3x+2

Answers

Answer 1

Given:

The inequalities are:

[tex]y>\dfrac{2}{3}x+3[/tex]

[tex]y\leq -\dfrac{1}{3}x+2[/tex]

To find:

The graph for the given system of inequities.

Solution:

We have,

[tex]y>\dfrac{2}{3}x+3[/tex]

[tex]y\leq -\dfrac{1}{3}x+2[/tex]

The related equations are:

[tex]y=\dfrac{2}{3}x+3[/tex]

[tex]y=-\dfrac{1}{3}x+2[/tex]

Table of values

x                       [tex]y=\dfrac{2}{3}x+3[/tex]                        [tex]y=-\dfrac{1}{3}x+2[/tex]

0                             3                                           2

3                             5                                           1

Plot the points (0,3) and (3,5) and connect them by a straight line to get the boundary line [tex]y=\dfrac{2}{3}x+3[/tex].

Plot the points (0,2) and (3,1) and connect them by a straight line to get the boundary line [tex]y=-\dfrac{1}{3}x+2[/tex].

In [tex]y>\dfrac{2}{3}x+3[/tex], the sign of inequality is ">" it means the boundary line is a dashed line and shaded area lies above the boundary line.

[tex]y\leq -\dfrac{1}{3}x+2[/tex], the sign of inequality is "[tex]\leq [/tex]" it means the boundary line is a solid line and shaded area lies below the boundary line.

Therefore, the required graph is shown below.

Which Graph Shows The Solution To The System Of Linear Inequalities?y&gt;2/3x+3y-&lt;-1/3x+2

Related Questions

One number is 6 times a second number. The sum of the two numbers is 56. Find the numbersOne number is 6 times a second number.

The sum of the two numbers is 56. Find the numbers

Answers

Answer:

I think its 56 = 56

Step-by-step explanation:

Answer:

8 and 48

Step-by-step explanation:

This can be written as a system of equations. X will be the smaller number and y will be the larger:

6x = y

x + y = 56

Then substitute y in the second equation for 6x(seen in first equation) and solve.

x + 6x = 56

7x = 56

x = 8

So one number is 8. To find the other plug in 8 for x in either of the original equations (both get the same answer for y).

6x = y

6 * 8 = y

48 = y

Then double check by seeing if they fit the requirements of the problem.

Hope this helps!

b) In a survey of 200 families, 80 were found using 'A brand ton only, 75 were found using 'B' brand tea only and each family is using at least one of the two brands, (1) Draw a Venn diagram to illustrate the above information (i) How many families are using both brande? (111) How many families are using 'A' brand? (iv) How many families are using 'B' brand?​

Answers

Answer:

The answer would be D

Step-by-step explanation:

I did the quiz

Step-by-step explanation:

n(u)=200

no(A)=80

no(B)=75

ii) Using both brand=200-80-75

=45

iii)n(A)=80+45

=125

iv)n(B)=75+45

=120

help asap no wrong answers pls

Answers

Answer:

- 1.4

Step-by-step explanation:

The average rate of g(x) in the closed interval [ a, b ] is

[tex]\frac{g(b)-g(a)}{b-a}[/tex]

Here [ a, b ] = [ - 4, 1 ] , then

g(b) = g(1) = - 3 ( value of g(t) when t = 1 ]

g(a) = g(- 4) = 4 ( value of g(t) when t = - 4 )

average rate of change = [tex]\frac{-3-4}{1-(-4)}[/tex] = [tex]\frac{-7}{5}[/tex] = - 1.4

plz help ASAP with explanation

Answers

[tex]\displaystyle\bf \boxed{V=abh \ ; \ 1dm^3=1litre=1000cm^3} \\\\a=12cm \ ; \ b=8 cm ;\: h_1=7 \; ; \ h_0=h_1+h_2=?\\\\abh_2=1,2litre=1,2dm^3\ = 1200cm^3\\\\ 8\cdot 12 h_2=1200\\\\h_2=12.5 cm\: then \\\\h_0= 7+12,5=19,5 \\\\Answer : the \ height \ of \ the \ tank \ is \ 19,5 cm[/tex]

Answer:  19.5 cm

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

Explanation:

The volume of a rectangular block is V = L*W*H. So we multiply the length L, width W and H.

For the smaller rectangular block, up to the water level shown, we have a volume of V = L*W*H = 12*8*7 = 672 cubic cm

Since 1000 cm^3 represents 1 liter, this means the tank has 672/1000 = 0.672 liters of water already.

Add on another 1.2 liters of water to get to 1.2+0.672 = 1.872

Therefore, the full tank's capacity is 1.872 liters

This converts to 1.872*1000 = 1872 cm^3

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

The largest rectangular block has volume 1872 cm^3

We know the length and width (along the bottom) is L = 12 and W = 8 respectively. The height is unknown, but we can solve for it like so

V = L*W*H

L*W*H = V

12*8*H = 1872

96H = 1872

H = 1872/96

H = 19.5

The height of the tank is 19.5 cm

Solve for x. Round to the nearest tenth, if necessary.

Answers

Hi there!

1. Trigonometric Ratio

For this question, we will be knowing legs or sides of the right triangle and its ratio. Trigonometric Ratio or Trigonometry is very useful when it comes to solve for legs or sides. Because it has something to do with angles.

Currently, there are 6 Trigonometric Ratios. 2 ratios are the main topic which are sine and cosine. Both can be shortened as sin, cos. While the other 4 ratios are defined by these two ratios.

2. Adjacent, Hypotenuse, Opposite

There are 3 sides in a right triangle. Opposite is a side or length of a triangle that is opposite of a specific angle. For example in the picture. CD is opposite of 65 degrees. ED is opposite of angle C.Adjacent is a leg or we can call it a base of right triangle.Hypotenuse is the longest side of right triangle according to Pythagorean Theorem. It is also the opposite of right angle.

3. Using Cosine Ratio

Cosine Ratio is defined as adjacent to hypotenuse or adjacent/hypotenuse. Since we focus on the 65 degree. We can conclude that the adjacent side is x and the hypotenuse side is 7.

Cosine Ratio is:

[tex] \large \boxed{ \tt{ cos 65 \degree= \frac{x}{7} }}[/tex]

For this part, use the calculator to find the value of cos65 degrees. When you put cos65 degree in a calculator, you should get 0.42261826... round to the nearest tenth as we get 0.4

Hence, the new equation is:

[tex] \large{0.4 = \frac{x}{7} }[/tex]

4. Solve The Equation

The best way to deal with decimal number when solving the equation is to multiply the whole equation by 10. Because we want to turn 0.4 to 4 which will be easier in solving the equation.

[tex] \large{0.4 \times 10 = \frac{x}{7} \times 10} \\ \large{4 = \frac{10x}{7} }[/tex]

Multiply 7 both sides to get rid of the denominator.

[tex] \large{4 \times 7 = \frac{10x}{7} \times 7} \\ \large{28 = 10x}[/tex]

Divide both sides by 10 so we can finally isolate x.

[tex] \large{ \frac{28}{10} = \frac{10x}{10} } \\ \large{ \frac{28}{10} = x}[/tex]

Since the denominator is 10. We can convert to the decimal as 2.8

[tex] \large \boxed{ \tt{2.8 = x}}[/tex]

Because you want the nearest tenth then 2.8 is your answer!

5. Final Answer

x = 2.8

A side of the triangle below has been extended to form an exterior angle of 158º. Find
the value of x.

Answers

Answer:

22°

Step-by-step explanation:

180° - 158° = 22°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

A7. Charlie sells wristbands to earn extra money. She charges $7 per wristband for material and $2.00 per hour to make
unique gifts. How much would two wristbands cost together if one takes her an hour and a half to make one and two
hours to make the other one?
1.

Answers

Answer:

21

Step-by-step explanation:

(7x2)+(1.5x2)+(2x2)

(6 x 10 to the power of -1) - (5 x 10 to the power of -3)

Answers

Answer:

0.595.

Step-by-step explanation:

.

Answer:

[tex]\frac{6247}{375000}[/tex]

Step-by-step explanation:

Hey, Ace here!

We have the equation [tex](6*10)^{-1} - (5*10)^{-3}[/tex]

Let's simplify by doing the parenthesis first:

[tex]60^{-1} - 50^{-3}[/tex]

According to our exponent rules, [tex]a^{-b}=\frac{1^{b}}{a^{b}}[/tex]

So let's simplify:

[tex]\frac{1^{1}}{60^{1}} - \frac{1^{3}}{50^{3}}[/tex]

Simplify further:

[tex]\frac{1}{60} - \frac{1}{125000}[/tex]

Find a common denominator (which, yes, is a pain):

[tex]\frac{1*6250}{60*6250} - \frac{1*3}{125000*3}[/tex]

Simplify:

[tex]\frac{6250}{375000}-\frac{3}{375000}[/tex]

Now perform the subtraction:

[tex]\frac{6247}{375000}[/tex]

That's your answer. Let me know if you have any questions.

What are the different forms of a quadratic function and what do the variables represent?

Answers

Answer:

Quadratic equations of second degree.

[tex]{ \bf{a {x}^{2} + bx + c = 0}}[/tex]

Quadratic equations of third degree.

[tex]{ \bf{a {x}^{3} + {bx}^{2} + cx + d = 0}}[/tex]

The table shows information about some children.

Age 11 Age 12 Total
Girls 3
a
b
Boys
c
5 8
Total
d
13
e

A pupil is selected at random.
What is the probability of selecting a student aged 12?
Give your answer in its simplest form.

Answers

Answer:

[tex]P(Age\ 12) = \frac{2}{3}[/tex]

Step-by-step explanation:

Given

        Age 11    Age 12    Total  

Girls   3             5              8

Boys   1             3             4

Required

[tex]P(Age\ 12)[/tex]

The number of aged 12 children is:

[tex]Age\ 12 = 5 + 3[/tex]

[tex]Age\ 12 = 8[/tex]

The total number of children is:

[tex]Total=8+4[/tex]

[tex]Total = 12[/tex]

So, we have:

[tex]P(Age\ 12) = \frac{Age\ 12}{Total}[/tex]

[tex]P(Age\ 12) = \frac{8}{12}[/tex]

Simplify

[tex]P(Age\ 12) = \frac{2}{3}[/tex]

Estimate the value of \frac{\sqrt{2\pi }}{\sqrt{5}}

Answers

Answer:

the exact answer is 1.98

if we rationalize denominator we get root 0f 10 times pi divided by 5

root of 10 is about 3.1 ([tex]\pi[/tex]) so we have [tex]\frac{\pi ^{2} }{5}[/tex] ≈ 9.6/5 = 1.92

Step-by-step explanation:

[tex]\frac{\sqrt{2\pi }}{\sqrt{5}} * \frac{\sqrt{5 }}{\sqrt{5}}[/tex] = [tex]\frac{\sqrt{10} \pi }{5}[/tex]

Which expression has a value of 15 when n = 7?

1: 43 minus 5 n
2: 3 n minus 5
3: 6 n minus 28
4: 19 minus StartFraction 28 Over n EndFraction

Answers

Answer:

[tex]19-\frac{28}{n}[/tex] is the expression with the value of 15 when n = 7

Step-by-step explanation:

To find the expression whose value is 15, substitute the value of n = 7 in each given expression.

Expression 1:

[tex]43-5n[/tex]

Substitute the value of n & simplify,

[tex]43-5(7)[/tex]

[tex]43-35=8[/tex]

Since the value of the expression is 8 which is not equal 15.

Hence expression [tex]43-5n[/tex] does not have value of 15 when n = 7.

Expression 2:

[tex]3n-5[/tex]

Substituting the value of n & simplify,

[tex]3(7)-5[/tex]

[tex]21-5=16[/tex]

Since the value of the expression is 16 which is not equal 15.

Hence expression [tex]3n-5[/tex] does not have value of 15 when n = 7.

Expression 3:

[tex]6n-28[/tex]

Substituting the value of n & simplify,

[tex]6(7)-28[/tex]

[tex]42-28=14[/tex]

Since the value of the expression is 14 which is not equal 15.

Hence expression [tex]6n-28[/tex] does not have value of 15 when n = 7.

Expression 4:

[tex]19-\frac{28}{n}[/tex]

Substituting the value of n & simplify,

[tex]19-\frac{28}{7}[/tex]

[tex]19-4=15[/tex]

Since the value of the expression is 15 which is equal 15.

Hence expression [tex]19-\frac{28}{n}[/tex] has the value of 15 when n = 7.

In a golf tournament Ned was 6 under par on Saturday and 7 over par on Sunday. What was the difference in his score on Sunday compared to his score on Saturday?

Answers

Answer: 13.

Step-by-step explanation:

Since Ned was 6 under par on Saturday and 7 over par on Sunday, the difference in his score on Sunday compared to his score on Saturday will be:

= 7 - (-6)

= 7 + 6

= 13

Therefore, the difference in the scores on Saturday compared to that of Sunday is 13

A metal smith is mixing two molten metals

Answers

Answer:

I think the answer is going to be A (15)(0.75) and 0.7(15 – x) + 0.9x, I hope this helps!! :)

Step-by-step explanation:

A department store holds a year-end clearance sale that includes a 5.5% discount on cosmetics. Find the sale price of a bottle of perfume if its original price was $48.41.

Answers

Answer:

Sale price = $45.75

Step-by-step explanation:

Original price = $48.41

Percentage Discount = 5.5%

Amount of discount = Percentage Discount × Original price

= 5.5% × $48.41

= 5.5/100 × $48.41

= 0.055 × $48.41

= $2.66255

Sale price = Original price - Amount of discount

= $48.41 - $2.66255

= $45.74745

Approximately,

Sale price = $45.75

Recall how the sorceress's twin
brother converts blueberries by
adding 9 to the number of
blueberries given to him and then
doubling it. Find the output if he is
given zero blueberries.
The wizard returns blueberries.

Answers

Answer:

18 blueberries

Step-by-step explanation:

also nice zoro profile pic

given the diagram, what is m

Answers

Answer:

∠ ADC = 145°

Step-by-step explanation:

The central angle is equal to the measure of the arc that subtends it, then

∠ ADE = 70°

∠ EDC = 75°

∠ ADC = ∠ ADE + ∠ EDC = 70° + 75° = 145°

Helpppp and explain :))

Answers

Answer:

y = 2x - 7

Step-by-step explanation:

(1,-5) (2,-3)

y2 - y1 / x2 - x1        -3 - (-5) / 2 - 1     2/1       = 2

y = 2x + b

-3 = 2(2) + b

-3 = 4 + b

-7 = b

W=VI. Make V the subject of formula​

Answers

Answer:

hope that is helpful

Step-by-step explanation:

W= VI

W= VI

I. I

V= W

I

Answer:

V = [tex]\frac{W}{I}[/tex]

Step-by-step explanation:

Given

W = VI ( isolate V by dividing both sides by I )

[tex]\frac{W}{I}[/tex] = V

Pls help ASAP!!!!!

Find the average rate of change from d=4
to d=11 for the function f(d) = 5(1.02)^d. Describe the process and steps he used and explain what the average rate of change represents.

Answers

Answer:

0. 116

Step-by-step explanation:

The function is given as :-

[tex]\boxed{f(d) = 5(1.02)^d }[/tex]

and we have to find the rate of change from d = 4 to d = 11

[tex]\boxed{\blue{\mathfrak{Rate\: of\: change = \frac{final\:output-intital\:output}{final\:input-initial\:input} } }}[/tex]

The final input value is 11 whereas the initial input value is 4.

The final and initial outputs can be calculated by placing the respective values of initial and final inputs (that are 4 and 11).

[tex]{\underline{Initial\:Output}}[/tex]

f(4) = [tex]5(1.02)^4[/tex]

f(4) = 5 × 1. 08

f(4) = 5. 41

[tex]{\underline{Final\:Output}}[/tex]

f(11) = [tex]5(1.02)^11[/tex]

f(11) = 5 × 1. 24

f(11) = 6. 22

[tex]\underline{Avg\:Rate \: of \: change} = \frac{6. 22-5.41}{11-4} \\ = \frac{0.81}{7} \\ = 0.116 [/tex]

[tex]\bigstar[/tex] Hence, the average rate of change is [tex]\red{\underline{\pmb{0. 116}}}[/tex]

SOMEONE PLEASE HELP!!

Answers

Answer:

RV = 18

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, then

RV = [tex]\frac{1}{2}[/tex] RT = [tex]\frac{1}{2}[/tex] × 36 = 18

A girl cycled a total of 15 kilometers by making 5 trips to work. How many trips will she have to make to cover a total of 24 kilometers

Answers

Answer:

8 trips

Step-by-step explanation:

You can solve this by unitary method.

15 kilometers in 5 trips means 1 trip consist of 3 kilometers

Therefore, 24/3 = 8

So the required answer is 8 trips.

Thank you!!

15km=5 trips
24km= x

➡️ 15x = 24 * 5

➡️ 15x = 120

➡️ x = 8 trips

PLEASE I NEED HELP. summer school

Answers

Answer:

1. Y+2/5y

2. y-0.32y

3. Y-2/5y

4. y+0.32y

Step-by-step explanation:

Yes what she said. She’s right

A researcher who examines the causal relationship between amount of exercise (i.e., participants are randomly assigned to 30 minutes of exercise per day or no exercise) and memory abilities is using the ______ research design.

Answers

Answer: experimental

Step-by-step explanation:

Experimental research design refers to a research that is conducted with a scientific approach whereby two sets of variables are used. It adheres to the scientific research design.

An experimental research design consist of an hypothesis, a variable which the researcher can manipulate and variables which can be measured. Based on the information given, the experimental research design is used.

What is the equation, In factored form, of the quadratic function shown in the graph?

Answers

Given:

The graph of a quadratic function.

To find:

The equation of the quadratic function in factored form.

Solution:

From the given graph it is clear that the graph of the function intersect the x-axis at point (-3,0) and (2,0).

Since -3 and 2 are the zeros of the function, therefore (x+3) and (x-2) are the factors of the required quadratic function.

Now, the function can be written as:

[tex]f(x)=a(x+3)(x-2)[/tex]             ...(i)

The graph of the function intersect the y-axis at (0,-6). Substituting [tex]x=0,f(x)=-6[/tex] in (i), we get

[tex]-6=a(0+3)(0-2)[/tex]

[tex]-6=a(3)(-2)[/tex]

[tex]-6=-6a[/tex]

[tex]\dfrac{-6}{-6}=a[/tex]

[tex]1=a[/tex]

Substituting [tex]a=1[/tex] in (i), we get

[tex]f(x)=1(x+3)(x-2)[/tex]

Therefore, the required function is [tex]f(x)=1(x+3)(x-2)[/tex].

Please answer this, I need help fast

Answers

B

Step-by-step explanation:

If you're using a Casio calculator you can just change the mode to table mode. Put the equations as they are,decide the value of the X axis you want to start at and where you want to end. The step you can use 1 if you want. Press = button. You'll have the co-ordinates. Plot the co-ordinates of each equation and see which one gives a straight line graph. I started at -4 and ended at 5 and I used step 1

Cayden has several screws on a scale, and the scale reads 80.955 cayden add 1 more screw and the scale reads 84.81

Answers

Answer:

-3.855

Step-by-step explanation:

Not sure if you need the weight of each screw! but you just subtract 80.955-84.81

Answer:

1

Step-by-step explanation:

itnisbbsndnfnfnfnnfnfnfncjcjccjcj

What is the slope of the line? What is the y-intercept of the line? y = 2x + 5

Answers

Slope intercept form of a line is, y = mx + c where m is the slope and c is constant.

Judging the given equation y = 2x + 5

Slope (m) of the line is 2,

y-intercept of the line,

y = 2x + 5

y = 2×0 + 5

y = 5

Answered by GAUTHMATH

Answer:

m = 2

y intercept = 5

Step-by-step explanation:

The given equation of the line is ,

[tex]\implies y = 2x +5[/tex]

We know that the Standard equation of Slope Intercept Form of the line is,

[tex]\implies y = mx + c[/tex]

Where ,

m is slope c is y intercept

On comparing to the Standard form of the line we get ,

[tex]\implies Slope = 2 [/tex]

[tex]\implies y - intercept= 5[/tex]

Which graphs are the graphs of even functions?

HELP ASAP

Answers

Answer:

Step-by-step explanation:

Even functions have symmetry about the y-axis, so the graphs of even functions are the bottom 2.

Find the greatest common factor of the
following monomials:
36m3n4. 2m5n3. 4m6n6

Answers

Answer:

2m^3n^3

Step-by-step explanation:

Let us start with the number parts

36 , 2 and 4

2 is common here as it can divide all

The smallest m factor is m^3 so it is common for all

The smallest n factor is n^3 which is also common for all

So, we have the greatest common factor as;

2 * m^3 * n^3 = 2m^3n^3

Other Questions
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