The graph below represents the following system of inequalities.
y > 2x + 1
x ≤ 0

Which set of ordered pairs satisfy the given system of inequalities?

A. {(-3,-2), (-2,-1), (-1,3)}
B. {(-1,3), (-2,-5), (4,-8)}
C. {(-3,-2), (-2,1), (-4,-8)}
D. {(-1,-3), (-2,-5), (-4,-8)}

Answer:

Step-by-step explanation:

Factors of 36 = 1 2 3 4 6 9 12 18 36

the Prime Factors of 36 are: 2, 2, 3, 3.

This is the answer

Answer:

36 = 2*2*3*3

or

2^2 * 3^2

Step-by-step explanation:

Break 36 into prime factors

36 = 6*6  

Since 6 isn't a prime number, factor 6

36 = 2*3   * 2*3

2 and 3 are prime numbers

In order from smallest to largest

36 = 2*2*3*3

or as exponents

36 = 2^2 * 3^2

The direction of f(x) = 4x² + 10x + 12 is in upward direction.

y intercept of the f(x) is (0,, 12).

And number of zeros in f(x) is 2, at x = -5/4 + (√23 / 4)i  and  -5/4 - (√23 / 4)i.

What is function?

Function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.

The given function is,

f(x) = 4x² + 10x + 12.

The coefficient of x² is 4 which is positive, therefore, the graph is in the upward direction.

To find y intercept of the function,

Substitute x = 0, in the function,

f(x) = y = 4 (0)² + 10 (0) + 12

y = 12

The y intercept of the function is (0, 12).

To find the number of zeros, Substitute f(x) = 0,

Implies that,

4x² + 10x + 12 = 0

The values of x for the given quadratic equation are,

x =-5/4 + (√23 / 4)i and x =-5/4 - (√23 / 4)i

The number of zeros is two at -5/4 + (√23 / 4)i  and  -5/4 - (√23 / 4)i.

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Answer: A

Step-by-step explanation: The reason is because a less than or equal symbol makes the solutions all below the points.

Answer:

The last one

Step-by-step explanation:

Answer:6 should be right

Step-by-step explanation: since the absolute value of -6 is 6, it satisfies the equation

|-6|=6

6 is less than or EQUAL to 6

Answer:

a. 9 sides

b. 18 sides

c. 24 sides

d. 30 sides

Step-by-step explanation:

We can use the equation 180(n-2), which n is the number of sides to find the answer.

a. 180(n-2)=1260

n-2=7

n=9

b. 180(n-2)=2880

n-2=16

n=18

c. 180(n-2)=3960

n-2=22

n=24

d. 180(n-2)=5040

n-2=28

n=30

Answer:

a) 9 sides

b) 18 sides

c) 24 sides

d) 30 sides

Step-by-step explanation:

sum of interior angles = (n - 2) * 180

where n is the number of sides

a) 1260

(n - 2) * 180 = 1260

(n - 2) = 1260/180

(n - 2) = 7

n = 7 + 2

n =  9

b) 2880

(n - 2) * 180 = 2880

(n - 2) = 2880/180

(n - 2) = 16

n = 16 + 2

n =  18

c) 3960

(n - 2) * 180 = 3960

(n - 2) = 3960/180

(n - 2) = 22

n = 22 + 2

n = 24

d) 5040

(n - 2) * 180 = 5040

(n - 2) = 5040/180

(n - 2) = 28

n = 28 + 2

n = 30

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[tex]( 3 {x}^{2} - 13x - 10 ) \div (x - 5) = \\ [/tex]

[tex] \frac{3 {x}^{2} - 13x - 10 }{x - 5} = \\ [/tex]

[tex] \frac{(x - 5)(3x + 2)}{(x - 5)} = \\ [/tex]

[tex]3x + 2[/tex]

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The value of the fraction is 6/5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be = A

Now , the equation is expressed as

A = ( 2/15 ) x 9

On simplifying the equation , we get

A = 18/15

Dividing by 3 on the numerator and denominator , we get

A = 6/5

Therefore , the fraction in simplest form is 6/5

Hence , The value of the fraction is 6/5

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Answer: 8 groups is the largest number of groups he can make

Answer:

8, 4, 0, -4, - 8, .........

Step-by-step explanation:

The n the term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and a₁₅ = - 48, then

8 + 14d = - 48 ( subtract 8 from both sides )

14d = - 56 ( divide both sides by 14 )

d = - 4

To obtain the progression subtract 4 from each term, that is

8, 4, 0, - 4, - 8, ......

Answer:

8, 4, 0, -4, -8, -12, -16, -20,...

Step-by-step explanation:

Arithmetic Progressions

The general term of an arithmetic progression (A.P.) is:

[tex]a_n=a_1+(n-1).r[/tex]

Where:

a1  = First term

an = Term number n

n   = Number of the term

r   = Common difference

We are given: a1=8, and a15=-48, n=15. Calculate r:

[tex]\displaystyle r=\frac{a_n-a_1}{n-1}[/tex]

[tex]\displaystyle r=\frac{-48-8}{15-1}[/tex]

[tex]\displaystyle r=\frac{-56}{14}[/tex]

r = -4

We can get the terms of the progression by subtracting 4 to the previous term.

Thus, the first terms of the progression are:

8, 4, 0, -4, -8, -12, -16, -20,...

Answer:

Step-by-step explanation:

The y-intercept is 3.

I know this because when x is 0 that is where the y-intercept is :)

Answer:

Step-by-step explanation:

0.072=w-3.6w

w= -0.0276923

Answer:

w = 3.672

Step-by-step explanation:

0.072 = w - 3.6

0.072 + 3.6 = w

3.672 = w

Answer:

7/15

Step-by-step explanation:

Fraction of the songs being country / rock songs: 1/6 + 3/10 = 7/15

Step-by-step explanation:

Length of the base = y

Length of a side = 3y + 2

Length of the third side= 3y + 2 (Isosceles triangle)

Perimeter = Sum of all sides

46 = y + 3y + 2 + 3y + 2

46 = y + 2(3y +2)

46 = y + 6y + 4

46 = 7y + 4

46 - 4 = 7y

42 = 7y

42/7 = y

6 = y

Therefore, the length of the base is 6

Answer:

The scale would be 200

Step-by-step explanation:

If your giraffe is 3 cm and the scale drawing of the giraffe is 6m, in one meter, there are 100 cm, and 6/2=3 you multiply 2 by the 100 cm in the meter which gives you 200. You could also say 6m divided by 3cm which would also give you 200 or 600/300=200.

Answer:

9.67 inches altogether

Step-by-step explanation:

2.91 + 6.76 = 9.67

2.91

+6.76

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

 9.67

this is the correctanswer

Answer:

The answer and work is both located in the screenshot provided!

Step-by-step explanation:

Hoped this helped!

Answer:

53/6

Step-by-step explanation:

Answer:

Inequalities involving the symbol '>' or '<' are called strict inequalities.

Step-by-step explanation:

Hope this helped!

Answer:

w=2.5

Step-by-step explanation:

this is because to find the area of a triangle you have to multiply base times height divided by 2 therefore if you want the rectangles have the same area of the triangle the with must be 2.5 this way you will get the same area as the triangle

proof

5x6=30/2=15 area of the triangle

2.5x6=15

as you can see the triangle and the rectangle have the same area

therefore the width of the rectangle is 2.5

Answer:

g(4) = 5, fg(2) = 7/-3, gˉ¹(7)​ = 2

Step-by-step explanation:

i.) g(4)= 2(4) -3

g(4) = 8 -3

g(4) = 5

ii.) fg(2)

g(2) = 2(2)-3

g(2)= 4-3

g(2) = 1

fg(2) = 2(1)+5/1-4

fg(2) = 7/-3

iii.) g(x) = 2x -3

g(y) = 2y -3

x = 2y -3

x-3 = 2y

y= (x-3)/2

gˉ¹(7)​ = ((7)-3)/2

gˉ¹(7)​ = 4/2

gˉ¹(7)​ = 2

Answer:

a) [tex]3c^2-11c+12[/tex]

b) 3 terms in simplified expression

c) 3 is leading coefficient

d) 2 is the degree of simplified expression

Step-by-step explanation:

We need to perform subtraction of [tex](5c^2 - 3c + 9) - (2c^2+ 8c - 3)[/tex]

a) What did you need to distribute to the second polynomial to rewrite?

We need to multiply - sign with the terms inside the bracket.

Perform subtraction. Then, answer:

[tex](5c^2 - 3c + 9) - (2c^2+ 8c - 3)\\=5c^2 - 3c + 9 - 2c^2- 8c +3\\Combining \ like \ terms\\=5c^2-2c^2-3c-8c+9+3\\=3c^2-11c+12[/tex]

b) How many terms in the simplified expression?

There are 3 terms in the simplified solution [tex]3c^2-11c+12[/tex]

c) What is the leading coefficient of the simplified expression?

The leading coefficient is the coefficient with highest degree. The highest degree is 2 so, leading coefficient is 3

d) What is the degree of the simplified expression?

The highest degree is considered as the degree of simplified expression. In our case [tex]3c^2-11c+12[/tex] the highest degree is 2

Answer:

x=6

Step-by-step explanation:

1b think

I am not sure

9514 1404 393

Answer:

  12.0 cm

Step-by-step explanation:

The Pythagorean theorem applies:

  (12 cm)² +b² = (17 cm)²

  b² = (289 -144) cm² = 145 cm²

  b = √145 cm ≈ 12.04 cm

  b ≈ 12.0 cm . . . . rounded to 1 decimal place

Answer:

Exponent tells the number of times the base is used as a(n) power.

50 is a(n) multiple of 10 because 5 × 10 = 50

Step-by-step explanation:

Easy and please choose mine was the most helpful. I want to get Brainliest.

Answer:

(n)_exponent_tells the number of times the base is used as a(n)_power_.

50 is a(n)__multiple_of 10 because 5 × 10 = 50

Step-by-step explanation:

exponent: This is the power to which a number is raised or the number of times it is multiplied by itself.

multiple: A Multiple of a number is that number times any whole number.

power: The number to which a base is raised is called the power. This tells you how many times to multiply the base together.

Answer:  (b) 48 cm

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

Explanation:

Divide the perimeter of the square over 4 to get the side length s.

s = P/4

s = 48/4

s = 12

The side length of the square is 12 cm. This leads to an area of...

A = s^2

A = 12^2

A = 144

The area of the square is 144 square cm.

The rectangle is 4 cm^2 less than the square's area, so we know the rectangle has area 144-4 = 140 cm^2.

If the length of the rectangle is 14 cm, then the width must be

W = A/L

W = 140/14

W = 10

This is a 14 cm by 10 cm rectangle (note how 14*10 = 140)

The last step is to compute the perimeter of the rectangle

P = 2(L+W)

P = 2(14+10)

P = 2*24

P = 48

You can use the formula P = 2L+2W, but it's effectively the same thing.

The perimeter of the rectangle is 48 cm.