On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, 0) and (0, 2). Everything below the line is shaded. A point is shown at (1, 1).
Mr. Hernandez plotted the point (1, 1) on Han’s graph of y ≤ One-halfx + 2. He instructed Han to add a second inequality to the graph that would include the solution (1, 1).

Which equation could Miguel write?

y > 2x + 1
y < 2x – 1
y ≥ 2x + 1
y ≤ 2x – 1

Answers

Answer 1

The linear inequality that satisfies the point (1, 1) is y ≤ 2x – 1 option (D) y ≤ 2x – 1 is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The graph of the linear inequality is shown in the picture.

The point is (1, 1)

Take the equation:

y ≤ 2x – 1

Plug x = 1, y = 1

1 ≤ 2 – 1

1 ≤ 1  (True)

Thus, the linear inequality that satisfies the point (1, 1) is y ≤ 2x – 1 option (D) y ≤ 2x – 1 is correct.

Learn more about the linear equation here:

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On A Coordinate Plane, A Solid Straight Line Has A Positive Slope And Goes Through (negative 4, 0) And

Related Questions

Kevin ate 3 apples. This represents 20% of the bag of apples. How many apples were originally in the bag?

Answers

27 total apples in the bag
15 apples were in the bag. If 3 apples are 20%, you could multiply 3 by 5 and 20% by 5 to get 100%.

Original price: $72.00

Markdown: 33% please i rlly need help thanks mate

Answers

Answer:

$48.24

Step-by-step explanation:

33% of 72 = 23.76

72 - 23.76 = 48.24

Question 26
y = 1/8x
What is y when x is 37?
ROUND YOUR ANSWER TO THE NEAREST HUNDRETH.

Answers

Answer:

y ≈ 4.63

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

y = 1/8x

x = 37

Step 2: Evaluate

Substitute:                    y = 1/8(37)Multiply:                        y = 37/8Divide:                           y = 4.625Round:                          y ≈ 4.63

And we have our final answer!

Рабочий изготовил за 1 час 17 деталей . А его ученик 12 деталей . Сколько деталей они изготовят за 7 часов совместной работы

Answers

Answer:

203

Step-by-step explanation:

17*7=119

12*7=84

84+119=203

If a 30-year-old male exercises 2 hours per week, what would you
expect his resting heart rate to be?

Answers

Answer:

(71) I believe

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

sorry if im wrong

Answer:

Approximately 72 bpm.

Step-by-step explanation:

In order to find the expected heart rate you need to look at the x-axis on the graph. Since the male exercises 2 hours a week, use that value for x and find where x = 2 lies on the line. In this graph, the line goes through x = 2 at the same time it goes through y = 72. Since the y-axis represents the resting heart rate, we now know that if a 30 year-old male exercises for 2 hours a week, his resting heart rate will be around 72 bpm(beats per minute).

I hope this helps :)

What is the value of x that makes the statement true?

7x + 9 = 5x + 39

x =

Answers

Answer:

15

Step-by-step explanation:

7x+9=5x+39

7x-5x=39-9

2x=30

30/2=x

x=15

7x + 9 = 5x 39
7x -5 = 39-9
2x =20
30\2 x=15

A family has two cats named Gordo and Flaco. Gordo weighs 15 pounds and Flaco weighs 8 pounds. A cat’s weight is classified as unhealthy if the weight is located in the top 5% or bottom 5% of all cat weights. The distribution of cat weights is approximately normal with mean 9.5 pounds and standard deviation 1.5 pounds. Which of the following is the best description of Gordo’s and Flaco’s weights?

Answers

Answer:

Gordo's weight = 15 pounds

It is outside the healthy weight range and is in the top 5% of weights of cats.

Gordo's weight makes Gordo unhealthy.

Step-by-step explanation:

μ = mean weight = 9.5 pounds

σ = standard deviation = 1.5 pounds

This is a normal distribution problem

We first calculate the limit of the bottom 5% of weights

Let the z-score for this limit be z'

P(z < z') = 0.05

From the normal distribution table,

z' = -1.645

And the limit for the top 5% which is z" = 1.645.

The weight that corresponds to these scores are then calculated.

Standardized scores are given as

z = (x - μ)/σ

So,

z' = (limit for the bottom 5% - μ)/σ

-1.645 = (limit for the bottom 5% - 9.5)/1.5

limit of the bottom 5% = (-1.645)(1.5) + 9.5 = 7.033 pounds

z" = ( (limit for the top 5% - μ)/σ

1.645 = (limit for the top 5% - 9.5)/1.5

limit of the bottom 5% = (1.645)(1.5) + 9.5 = 11.968 pounds

Therefore the healthy weight range for cats is (7.033 < x < 9.968)

Gordo's weight = 15 pounds

It is outside the healthy weight range and is in the top 5% of weights of cats.

Gordo's weight makes the cat unhealthy.

Flaco's weight = 8 pounds

Flaco's weight lies in the healthy weight range for cats. Hence, Flaco is a healthy cat.

HELP ME FAST PLZ HELP ME!!!

Answers

Answer:

267000 is the answer

Step-by-step explanation:

(Urgent please help!!!) Maria earned $5,250; $4,800; $3,990 and $5,120 from her home business during the last four months. What was her average monthly income during this period?

Answers

5250 + 4800 + 3990 + 5120
19160 / 4 = $4,790 average monthly income

In this figure, DC is parallel to AB. angle DCA is 3x+14, angle ACB is 10x+12, and angle CAB is 5x-2. Find the degrees in angle CBA.

Answers

Answer:

Angle CBA = 50 degrees

Step-by-step explanation:

Known Information:

DC is parallel to ABAngles DCA and CAB are equal (they are alternate interior angles)Angles CAB + ACB + CBA = 180°

Calculations:

[tex]3x + 14 = 5x - 2[/tex][tex]16 = 2x[/tex] [tex]x = 8[/tex]

[tex]180 - CAB - ACB = CBA[/tex][tex]180 - [ 5(8) - 2] - [ 10(8) + 12] = CBA[/tex][tex]100- [38] - [92] = CAB[/tex][tex]CBA = 50[/tex]

The measure of the angle CBA is 50 degrees if DC is parallel to AB. angle DCA is 3x+14.

What is an angle?

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

We have:

DC is parallel to AB. angle DCA is 3x+14, angle ACB is 10x+12, and angle CAB is 5x-2.

The equation can be framed:

3x + 14 = 5x - 2

x = 8

Angle CBA = 180 - (Angle CAB - Angle ACB)

Angle CBA = 180 - [5(8)-2+10(8)+12]

Angle CBA = 180 - [40-2+80+12]

Angle CBA = 180 - [40-2+80+12]

Angle CBA = 50

Thus, the measure of the angle CBA is 50 degrees if DC is parallel to AB. angle DCA is 3x+14.

Learn more about the angle here:

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Solve this problem on paper using all four steps. Enter each answer separated by a comma, in numerical order.

Find four consecutive integers whose sum is 114.

The integers are ______

Answers

Answer:

27, 28, 29 and 30

Step-by-step explanation:

Let the integers be:

n, n + 1, n + 2 and n + 3

Their sum is 114:

n + n + 1 + n + 2 + n + 3 = 114

Solving for n:

4n + 6 = 1144n = 108n = 108/4n = 27

The numbers are: 27, 28, 29 and 30

What is the slope of the line?

Answers

Get two coordinates from the graph
(0,1) and (1,3)
Use them to find gradient
(3-1)/(1-0)=2

For Jayden's lemonade recipe, 3 lemons are required to make 12 cups of lemonade. At what rate are lemons being used in lemons per cup of lemonade?

Answers

Answer:

0.4 of lemon is being used for one cup

Step-by-step explanation:

12 divided by 3 is 4 which is more than 3 meaning we need to try and make it smaller which is why the 4 was carried down by one row making 0.4

What is a tick question to ask my math teacher

Answers

Answer
Tick ? Wym
Explanation

Answer:

Derive the formula for the depressed cubic  x3+3px=2q

Step-by-step explanation:

It's hard, so good luck to your math teacher

A hemispherical bowl is made of brass has an inner diameter 35 cm. What is the inner surface area? URGENT

Answers

Answer:

The inner surface area of a hemispherical bowl will be: 1923.25 cm²

Step-by-step explanation:

Given

d = 35 cm

as

[tex]r=\frac{d}{2}[/tex]

  [tex]=\frac{35}{2}[/tex]

   [tex]= 17.5[/tex] cm

The inner surface area of a hemispherical bowl = 2πr²

[tex]=2\times 3.14\times \left(17.5\right)^2[/tex]

[tex]=6.28\:\times \:17.5^2[/tex]

[tex]=1923.25[/tex]

Hence, the inner surface area of a hemispherical bowl will be: 1923.25 cm²

A store buys 11 sweaters for $154 and sells them for $363. How much profit does the store make per sweater?

Answers

Answer:

they make $19 dollars in profit per sweater

Step-by-step explanation

154/11 is 14. This means that they paid $14 dollars per sweater.

363/11 is 33, meaning that they sold each sweater for $33.

$33 - $14 is $19, thus they made $19 dollars per sweater.

(I could be wrong, though. I tend to make dumb and simple mistakes of simple math, lol)

Answer:

19

Step-by-step explanation:

First Find the difference of the two amounts.

Profit = Sale - Cost

Profit = 363 - 154

Gross Profit = 209

Each sweater sold brings in a profit of 209 / 11  = 19 dollars

An astronaut on the moon throws a baseball upward. The astronaut is 6 ft 6 in tall, and the initial velocity of the ball is 40 ft per sec. The heights of the ball in feet is given by the equation

S = -2.7t^2+40t+6.5, where t is the number of seconds after the ball was thrown.

After how many seconds is the ball 18 ft above the moon's surface?

Answers

Answer:

t = 0.293 s and 14.52 s

Step-by-step explanation:

The heights of the ball in feet is given by the equation as follows :

[tex]S = -2.7t^2+40t+6.5[/tex]

Where t is the number of seconds after the ball was thrown.

We need to find is the ball 18 ft above the moon's surface.

Put S = 18 ft

[tex]-2.7t^2+40t+6.5=18\\\\-2.7t^2+40t=18-6.5\\\\-2.7t^2+40t-11.5=0[/tex]

It is a quadratic equation. Its solution is given by :

[tex]t=\dfrac{-40+\sqrt{40^{2\ }-4\left(-2.7\right)\left(-11.5\right)}}{2\left(-2.7\right)},\dfrac{-40-\sqrt{40^{2\ }-4\left(-2.7\right)\left(-11.5\right)}}{2\left(-2.7\right)}\\\\t=0.293\ s,14.52\ s[/tex]

So, the ball is at first 0.293 s and then 14.52 s above the Moon's surface.

A pre-image arrow pointing east is rotated 135° clockwise. In which direction is the image arrow pointing?

Answers

Answer:

Southwest.

Step-by-step explanation:

East clockwise 90 degrees is South

South clockwise 45 degrees is Southwest

PLS GIVE BRAINLIEST

Think about it.

Starting on the x-axis at 0° we move in a CLOCKWISE direction and stop in quadrant 3 at 135°.

We travel in the SOUTHWESTERN direction.

someone help plz. quick. :/

Answers

Answer:

y = 2x - 22

Step-by-step explanation:

y = 2x - 8

it is the form of y = mx + c

to be parallel the m should be the same ..

so the equation m = 2

znd it is given that it is passing (11,0) so that the equation should satisfy the point ( 11,0)

y = mx + c

y = 0 , m = 2 , x = 11

0 = 2 ( 11 ) + c

c = -22

so the required equation for the parallel line is

y = 2x - 22

What is the equation of the line parallel to line l that passes through point (3,3)

Answers

Answer:

Step-by-step explanation:

Let the equation if the line be y = mx + c

since the line is parallel to y = (smt-your question isn't complete), their gradients/slope must be the same (aka m = __)

sub (3, 3):

3 = __(3) + c

c = __

therefore, the equation of the line is y = __x + __

This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Solve the system of equations by substitution.
x + y = 40
y = 9x
The solution of the system is?

Answers

x= 4 and y=36 is the answer

FACTORIZE
A(X)=(3x-2)^2-(2x-3)^2​

Answers

Answer:

5(x - 1)(x + 1)

Step-by-step explanation:

A(x) = (3x - 2)² - (2x - 3)² = (3x - 2 + 2x - 3)[3x - 2 - (2x - 3)] = 5(x - 1)(x + 1)

reflect triangle a in the line y=1?
where will it be which square?

Answers

The 4th one where x is positive y negative
(-1,0) (-1,-2) (-4,-2) these would be the coordinates of the new triangle reflected on the horizontal line at y = 1

My teacher needs an estimate, may someone help me?​

Answers

Answer; 8.75
Explanation;
Hope this helps

ANSWER NEEDED ASAP!
Find the value of x. (Hint: The sum of the angles in
a triangle is 180 degrees.)





The value of x is degrees.

Answers

Answer:

look below

Step-by-step explanation:

Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.

Basically since both sides have the same length which means that they will have the same angle degree (consist of the same side).
180-102 = 78
78/2=39
Answers is : x=39

In the parallelogram below, z = ?°

Answers

Answer:

z is 111 degrees

Step-by-step explanation:

69 ° and z is a linear pair, therefore:

69 + z = 180

z = 180 - 69

z= 111

[tex]p(m) = 2m+8[/tex]

The function p above models the total price p( m ), in dollars, of streaming m movies per month from an online movie subscription service. The subscription service charges an $8 monthly fee plus an additional fee per movie streamed. Which of the following is the best interpretation of p( 10) in this context?
A) The total price for streaming 1 movie in a month is $10.
B) The total price for streaming 2 movies in a month is $10.
C) When 10 movies are streamed in a month, the total price that month is $18.
D) When 10 movies are streamed in a month; the total price that month is $28.

Answers

9514 1404 393

Answer:

  D)  When 10 movies are streamed in a month; the total price that month is $28.

Step-by-step explanation:

Using the function definition, put 10 where you find m, then evaluate:

  p(10) = 2(10) +8 = 20 +8

  p(10) = 28

The function definition tells you this (28) is the price of streaming 10 movies in a month.

Help meee pleaseee :(​

Answers

Hi there!

[tex]\large\boxed{tan\text{ } (\frac{-\pi }{6})}[/tex]

**Recall that tangent is Opposite / Adjacent**

tan (5π / 6) according to the unit circle equals -1 / √3. We can go through each choice and eliminate:

tan (-5π / 6) is in the third quadrant which would mean that the value would be positive 1 / √3. This choice is incorrect.

tan (7π / 6) is the same as tan (-5π / 6), which is positive 1 / √3. This choice is incorrect.

cot (5π / 6) is the reciprocal of tan 5π / 6, which is incorrect.

tan (-π / 6) is equal to -1 / √3. This choice is correct.

Therefore, the correct choice is tan (-π / 6).

The answer I got was the last one that is correct

999+6666+8888+66654+66=

Answers

Answer:

83273

Step-by-step explanation:

What is the volume of a triangular pyramid that has a base area of 8.2 square centimeters and a height of 4
centimeters? Label the answer correctly and round to the nearest tenth of a cubic centimeter

Answers

Answer:

[tex]\boxed {\boxed {\sf V \approx 10.9 \ cm^3}}[/tex]

Step-by-step explanation:

The volume of a triangular pyramid can be found using the following formula:

[tex]V=\frac{1}{3} A_b\times h[/tex]

Basically, we have to multiply 1/3, the height, and the base area.

We know that the base area is 8.2 square centimeters and the height is 4 centimeters.

[tex]A_b=8.2 \ cm^2 \\h= 4 \ cm[/tex]

Substitute the values into the formula.

[tex]V=\frac{1}{3} (8.2 \ cm^2)\times (4 \ cm)[/tex]

Multiply 8.2 square centimeters and 4 centimeters.  

8.2 cm² * 4 cm= 32.8 cm³

[tex]V=\frac{1}{3} (32.8 \ cm^3)[/tex]

Multiply 1/3 and 32.8 cubic centimeters.

[tex]V= 10.9333333 \ cm^3[/tex]

Round to the nearest tenth.

The 3 in the hundredth place tells us to leave the 9 in the tenth place.

[tex]V \approx 10.9 \ cm^3[/tex]

The volume of the triangle pyramid is about 10.9 cubic centimeters.

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