This is algebra 1

Determine if (2,4) is a solution to this inequality: y < 2x + 2. Explain your reasoning.

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

To check if (2,4) is a solution to the inequality, y<2x+2, substitute the values of x and y in the inequality and see if it holds good for those values

y=4, x=2

Let's see if 4<2*2+2 => 4<4+2 => 4<6

And the inequality is true. So, (2,4) is a solution to this inequality

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Algebraically, the point (1, -5) satisfies the first inequality, but it does not satisfy the second inequality because -5 is not greater than -5. Graphically, the point (1, -5) lies in the shaded area of the first inequality but lies on the dashed line of the second inequality, which is not inclusive. Therefore (1, -5) is not a solution to the given system of inequalities.


Related Questions

A triangle is in the first quadrant of an x-y coordinate, shown here

Answers

Answer:

a

Step-by-step explanation:

Classify the following number: - 1/6

Answers

Answer:

fraction and integer

Step-by-step explanation:

Solve by completing the square:
x^2 + 2x - 3 =0
a. - 3 or 1
b. X-3 or -1
C. - 3 or -1
d. 2-3 or 1
Please select the best answer from the choices provided

Answers

Answer:

a

Step-by-step explanation:

Given

x² + 2x - 3 = 0 ( add 3 to both sides )

x² + 2x = 3

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(1)x + 1 = 3 + 1

(x + 1)² = 4 ( take the square root of both sides )

x + 1 = ± [tex]\sqrt{4}[/tex] = ± 2 ( subtract 1 from both sides )

x = - 1 ± 2

Thus

x = - 1 - 2 = - 3

x = - 1 + 2 = 1

2/3 of 1/2
What is the answer.

Answers

Answer:

1/3 or 0.33333333333_

Step-by-step explanation:

2/3 of 1/2
to solve this, remember when a number is “of” another number, it is being multiplied.

so,

2/3 x 1/2 = 2/6 = 1/3

therefore, the answer is 1/3. hope this helps! (:

what is 3/4f-4g+8 how many terms

Answers

Answer:

0 = 2f + 3g + 4f + -4g + 8

Step-by-step explanation:

WIILL GIVE BRAINLIEST.
Which statement best illustrates using the vertical line test to determine if the graph below is a function of x?

The graph is not a function of x because the line x = 0 intersects the graph at two points.
The graph is a function of x because the line x = 5 does not intersect the graph.
The graph is not a function of x because the line y = 0 intersects the graph at two points.
The graph is a function of x because the line y = 5 does not intersect the graph.

Answers

Answer:

C: The graph is not a function of x because the line y = 0 intersects the graph at two points.

Step-by-step explanation:

The line y = 0 will intersect the ellipse at the points, (-4 , 0) , (4 , 0)

Given h(x) = -2x – 5, find h(-2)

Answers

Answer:

-1

Step-by-step explanation:

they gave you the value to x so all you have to do is plug it in

h(-2) = -2 (-2) - 5

h(-2) = 4 - 5

h(-2) = -1

Substituting the value, x = - 2 into the function, the value of the function h(-2) is - 1

Given the function :

h(x) = - 2x - 5

At h(-2) :

h(-2) = - 2(-2) - 5

h(-2) = 4 - 5

h(-2) = - 1

Therefore, the value of h(-2) is - 1

Learn more : https://brainly.com/question/18106342

what is 33.058 as a simplified fraction?

Answers

Answer:

[tex]\frac{16529}{500}[/tex]

Step-by-step explanation:

Convert to a mixed number by placing the numbers to the right of the decimal over  1000 . Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.

Find the area. Simplify your answer.

Answers

Answer: 1.5x²

Step-by-step explanation:

Rule: To find the area of a triangle, multiply the base times one side, then divide the product by 2.

Step 1: Find the length of the left side using the pythagorean theorem.

a^2 + b^2 = c^2.

x^2 + 2x^2 = 3x^2

√3x² = 3x

Step 2: Multiply the base times the hypotenuse.

x * 3x = 3x²

Step 3: Divide by two

3x²/2 = 1.5x²

Jason has $90 to spend. He wants to purchase a bag for $35,one eraser for $10, and three pencils. Each of the pencils costs the same price. This will use up all of Jason's money. Determine the price of a pencil.​

Answers

Answer:

1 pencil = $15

Step-by-step explanation:

Starting money = 90

Bag price = 35

Eraser price = 10

Price per 1 pencil = X

90 - 35 = 55

$55 after buying the bag.

55 - 10 = 45

$45 after buying the eraser.

45 ÷ 3 = 15

$15 dollars for each pencil.

Write in standard form y=2(x-1)^2+6

Answers

Answer:

Y=2x+2

Step-by-step explanation:

Im not 100% sure this is correct but what I did was

Y=2(x-1)^2+6

2(x-1) = 2x -2

Y=2x -2^2 +6

Y=2x -4 + 6

-4 + 6 = 2

So y=2x+2 (y=mx+b)

I hope this helps you

f(x)=2/3x+3 what is the value of f(12)

Answers

Answer:

f(12) = 11

Step-by-step explanation:

Step 1: Define

f(x) = 2/3x + 3

f(12) is x = 12

Step 2: Substitute and Evaluate

f(12) = 2/3(12) + 3

f(12) = 8 + 3

f(12) = 11

all multiples of 5 end with 5 true or false ​

Answers

Answer:

FALSE

Step-by-step explanation:

Multiples of 5 end with 5 or 0.

Answer:

False

Step-by-step explanation:

Think of the first couple of multiples for 5, 5, 10, 15, 20 and so on. As you can see 10 and 20 are multiples of 5 but do not end with a 5.

answer both correctly and I’ll give golden brain c:

Answers

Answer:

1.a=5,b=-2

Step-by-step explanation:

2x+a=5-bx

divide by 2

[tex]x+\frac{a}{2}=\frac{5}{2}+\frac{-b}{2}x\\for~ to~ have ~infinite ~solutions\\\frac{a}{2}=\frac{5}{2}\\a=5\\1=\frac{-b}{2}\\b=-2[/tex]

or

equate the coefficients of like terms

-b=2

b=-2 (coefficient of x)

a=5 (constant terms)

2.

72°

external angle= sum of two opposite internal angles.

∠2=42+30=72°

Which of the following mixed numbers is equivalent to 12.16?

Answers

Answer:

12 4/25 is equivalent to 12.16 .

Seven Friends divide three bags of apples equally between them. Enter the division represented by this situation as a fraction .

Answers

7 divided by 3, or 7/3

Answer:

7/3

Step-by-step explanation:

Evaluate the following expression when a = -3, b = 2, c = 5, and
d = -4.
2a + 3b

Answers

Answer:

2a + 3b = 0

Step-by-step explanation:

So we are given that a = -3, b = 2, c = 5, and d = -4 and we are asked to evaluate the expression 2a + 3b. To evaluate the expression, we would have to plug in -3 for a, 2 for b, 5 for c, and -4 for d:

2a + 3b = 2(-3) + 3(2) = -6 + 6 = 0

So by evaluating the expression we get 0.

I hope you find my answer and explanation to be helpful. Happy studying.

Identify the number 2.02200222000... as rational or irrational. Explain your reasoning

Answers

rational because it keeps repeating itself over and over

Find the value of c. 16 = 4 - 3c

Answers

Answer:

c = -4

Step-by-step explanation:

16 = 4 - 3c

subtract 4 from each side

16-4 = 4-4 - 3c

12 = -3c

Divide each side by -3

12/-3 = -3c/-3

-4 =c

c = -4
16= 4- 3(-4)
16= 4 + 12
16=16

PLEASE HELP!!!!!! URGENTTTTTTTT

Answers

Answer:

-3x² - x - 5

the second one

.4 ÷ 28.08 Dividing Decimals , Divide to the nearest Tenth??
I Will Give You 10 Points

Answers

Answer:

0

Step-by-step explanation:

The answer is 0.01424, but if you round it to the nearest tenth, you would end up with 0.

Please help me with these

Answers

Answer:

The first one is -28x

Step-by-step explanation:

2^2x is 4x and 4x-32x is -28

En la casa de Juan, van a pedir pizza para la comida, pero cuando la van a pedir se dan cuenta que deben pedirla por perímetro o área de la misma. La mamá dice que es más grande la de perímetro de 100cm y el papá dice que es más la de área de 100cm². ¿Cuál tiene la razón? *

Answers

Responder:

La pizza con un perímetro de 100 cm es más grande ¿verdad?

Explicación paso a paso:

Deja que la pizza tenga forma circular.

Sea el área de la pizza = πd² / 4 y;

Perímetro de la pizza = πd

d es el diámetro de la pizza

Si la madre dice que el que tiene un perímetro de 100 cm es más grande, para estar seguros necesitamos obtener el diámetro de la pizza. La de mayor diámetro será la pizza más grande.

P = 100cm

100 = πd

d = 100 / π

d = 100 / 3,14

d = 31,85 cm

El diámetro de la pizza mamá es de 31,85 cm.

Si el padre dice que el que tiene un área de 100 cm² es más grande, obtengamos también el diámetro para estar seguros.

A = πd² / 4

100 = πd² / 4

400 = πd²

d² = 400 / π

d² = 400 / 3,14

d² = 127,39

d = √127,39

d = 11,29 cm

Por lo tanto, el diámetro de la pizza padre es de 11,29 cm.

Dado que el diámetro de la pizza madre es mayor que el de esa, la pizza con un perímetro de 100 cm es más grande, lo que demuestra que la madre tiene razón.

C= X+ H solve for C write the answer in the comments plz

Answers

It’s already solved for C

Look at the graph. Which of the following statements is false?

Answers

Answer:

if the y is 0, does that mean it don't have a y-intercept? is the 0 the point of origin?

Word problem for 3x(5+8)

Answers

Answer:

The answer is 39x.

Step-by-step explanation:

Answer:

I believe the word form of the equation would be Three X times five plus eight.

Step-by-step explanation:

Quick I need help!!!

Answers

Answer:

-19

Step-by-step explanation:

2 (t -3) ² - 72=0?
Math by extracting square roots​

Answers

Answer:

2(t-3) ^2 = 72

(t - 3)^2 = 36

t - 3 = 6 or t - 3 =-6

t = 6+3 = 9. or t =-6 +3 = -3

t = 9 or -3

We have that

The Value of t is

t=9

From the question we are told

2 (t -3) ² - 72=0

In Answering the Question we must follow these few steps

Firstly we must make t the subject of the FormulaSecondly,We perform the necessary arithmeticFinally,The value of t will be gotten

Generally the derivation of t is mathematically given as

[tex](t-3)^2=\frac{72}{2}\\\\t-3=\sqrt{\frac{72}{2}}\\\\t-3=6\\\\t=9[/tex] [Firstly we must make t the subject of the Formula

Firstly we must make t the subject of the FormulaSecondly,We perform the necessary]

Therefore

The Value of t is

t=9 [Finally,The value of t will be gotten]

For more information on this visit

https://brainly.com/question/23366835

PLZZZ HELPPP MEEE ASAPPPP

Answers

Answer:

5 - 900

4.5 - 810

3 - 540

2.25 - 405

Step-by-step explanation:

5 x 180 = 900

4.5 x 180 = 810

3 x 180 =540

2.25 x 180 = 405

The grass in Jamie's yard grew 16 centimeters in 10 days. It was growing at a constant rate.
How many days did it take the grass to grow 1 centimeter?
days
How many centimeters did the grass grow in 1 day?
centimeters

Answers

Answer:

It took 1.6 days for the grass to grow 1 centimeter

The grass grew 0.625 centimeters in 1 day

Step-by-step explanation:

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