For a given input value b, the function g outputs a value a to satisfy the following equation.
a-7=3(b+2)
Write a formula for g(b) in terms of b.
g(b)=

Answer:

C. 6 equilateral triangles

6 Equilateral triangles needed to construct the hexagon option (C)  6 Equilateral triangles is correct.

A hexagon is a six-sided polygon with six inner angles totalling 720° and six outside angles totalling 360° in geometry. Regular, irregular, concave, convex, and complicated hexagons are two-dimensional shapes.

We have a given a hexagon in the figure.

As we know hexagon is a polygon made up from six sides also hexagon can be made using six equilateral triangles by joining them.

Thus, 6 Equilateral triangles needed to construct the hexagon option (C)  6 Equilateral triangles is correct.

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Answer:

Option D 37.5 miles

Step-by-step explanation:

we know that

The scale on a map is [tex]\frac{1}{5}\frac{in}{mi}[/tex]

so

using proportion

Find the actual distance for a length on a map of 7.5 in

Let

x ----> the actual distance

[tex]\frac{1}{5}\frac{in}{mi}=\frac{7.5}{x}\frac{in}{mi}\\ \\ x=7.5*5\\ \\x=37.5\ mi[/tex]

Answer:

12.625

mean=total sum value /total data set

The mean of given data set is: 12.625.

The correct option is (B)

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

Mean = (Sum of all the observations/Total number of observations)

Given data: 5,7,8,10,11,17,19,24.

Mean=

sum of observation/ Total number of observation

=5+7+8+10+11+17+19+24/8

=101/8

=12.625.

Hence, the mean is 12.625.

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[tex]\bf \begin{array}{ccll} grams&people\\ \cline{1-2} 480&4\\ x&14 \end{array}\implies \cfrac{480}{x}=\cfrac{4}{14}\implies \cfrac{480}{x}=\cfrac{2}{7}\implies 3360=2x \\\\\\ \cfrac{3360}{2}=x\implies 1680=x[/tex]

Step-by-step explanation:

Let the total amount of salary be X, then

3/10X + 2/3X + amount left= his salary(X)

(9X + 20X)/ 30 + 2100 = X

29X/30 - X = -2100

(29X - 30X)/30 = -2100

by cross multiplying

-X = -2100×39

-X = -81900

divide both side by -1

X = 81900.

therefore his salary = 81900

Answer:

Muli's salary = 62,000

Step-by-step explanation:

Let Muli's salary  be x.

Money spent on food = 3/10 of x = 3x/10

Money spent on rent = 2/3 of x = 2x/3

Money left with him = 2100

(3x/10) + (2x/3) + 2100 = x

x - (3x/10) - (2x/3) = 2100             ( LCM = 30)

30x/30 - 9x/30 - 20x/30 = 2100

(30x - 9x - 20x ) / 30 = 2100

x/30 = 2100

x = 2100 * 30 = 62,000

255 square centimeters

First, break this into two shapes: a triangle and a rectangle.

The rectangle is 22 cm by 10 cm.  [tex]22 * 10 = 220[/tex] square centimeters

The triangle's base is 10 cm ([tex]22-12=10[/tex]) and its height is 7 cm ([tex]17-10=7[/tex]).  [tex]\frac{1}{2} * 10 * 7 = 5 * 7 = 35[/tex] square centimeters

Add the areas together. [tex]220 + 35 = 255[/tex] square centimeters

Answer:

17 is the missing the number

Step-by-step explanation:

Pattern: +1, +3, +5, +7, etc.

Answer:

yes

Step-by-step explanation:

a

The answer is:

Yes, the given equation is also a function. (it's a quadratic function)

We know a function exists when there is only one value of y (output) for each x (input).

We can easily know if an equation (relation) is also a function using the graphic method:

To know if a relation is a function, we need to graph it a draw a vertical line, if the line cut the graph in only one point, the relation is a function, otherwise, if the vertical line cuts the graph in two or more points, the relation is a not a function. Remember, the condition for a function is that there is only one output for each input.

Note: I have attached a picture for better understanding.

Have a nice day!

Answer:

x(x + 1) ≤ 0

-1 ≤ x ≤ 0

{x | x ≥ -1 and x ≤ 0}

Follow steps:

Solving the Inequality x(x+1)≤0

To solve x(x+1)≤0, we need to find values of x where the product is negative or zero. X can be split into the regions x < 0 and x > 0. As x approaches zero from either direction, x(x+1) approaches zero as well. The function is zero at the roots of the equation x(x+1) = 0, which are x = 0 and x = -1. These two roots divide the real line into three intervals: (-∞, -1), (-1, 0), and (0, ∞). Analyzing each interval:

For x in (-∞, -1), x < -1 and x+1 < 0, so the product x(x+1) is positive.

For x in (-1, 0), x is negative and x+1 is positive, so the product x(x+1) is negative.

For x in (0, ∞), both x and x+1 are positive, and thus, the product x(x+1) is positive.

The inequality is only satisfied in the interval where the product is negative or zero. Therefore, the solution is [{-1}, 0], which can be written in interval notation as (-1, 0]. This is a single continuous interval that includes the root x = 0 and excludes the root x = -1.

Finally, using interval notation, we express the solution to the inequality x(x+1)≤0 as (-1, 0].

Answer:

p=$300 and q=30 clock radio

Step-by-step explanation:

we have

p ----> is the price

q ----> is the quantity

[tex]p+3q=390[/tex] ----> equation A

[tex]p-7q=90[/tex] ----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The intersection point is (300,30)

see the attached figure  

therefore

The solution is

p=$300

q=30 clock radio

Answer:

right triangles should have one right angle (90 degrees) and it should liik like an L, and then draw a line connecting the gap (the hypotenuse)

Step-by-step explanation:

Answer:

make a 90 degree angle and connect the two points to finish the shape of the triangle.

Step-by-step explanation:

HINT: the corner of a piece of paper is a 90 degree angle

Answer:

[tex]\large\boxed{\left(7,\ \dfrac{13}{3}\right)}[/tex]

Step-by-step explanation:

You must use the algebraic method: substitution or elimination.

I will solve a given system of equations the substitution method.

[tex]\left\{\begin{array}{ccc}y=\dfrac{1}{3}x+2&(1)\\\\y=\dfrac{4}{3}x-5&(2)\end{array}\right\qquad\text{substitute (2) to (1)}\\\\\dfrac{4}{3}x-5=\dfrac{1}{3}x+2\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\dfrac{4}{3\!\!\!\!\diagup_1}x-(3)(5)=3\!\!\!\!\diagup^1\cdot\dfrac{1}{3\!\!\!\!\diagup_1}x+(3)(2)\\\\4x-15=x+6\qquad\text{add 15 to both sides}\\\\4x=x+21\qquad\text{subtract x from both sides}\\\\3x=21\qquad\text{divide both sides by 3}\\\\x=7\\\\\text{put the value of x to the first equation}\\\\y=\dfrac{1}{3}\cdot7+2\\\\y=\dfrac{7}{3}+\dfrac{6}{3}\\\\y=\dfrac{13}{3}[/tex]

Answer:

The corresponding point is (5,8)

Step-by-step explanation:

In this problem we know that

The rule of the transformation is equal to

(x,f(x)) ------> (x,f(x)+4)

so

for the point (5,4)

x=5, f(x)=4

substitute

(5,4) ------> (5,4+4)

(5,4) ------> (5,8)

therefore

The corresponding point is (5,8)

Answer:

27/4 or 6 3/4

Step-by-step explanation:

 ( 19 x 4 ) - ( 11 x 2 )

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

          2 x 4

         54/8

 54/2

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

  8/2

Answer:

√'xy/y

Step-by-step explanation:

1. [x*y^(1/2)] / [y * x^(1/2)]  

= [x^(1/2) * y^(1/2)] / y  

= (xy)^(1/2) / y  

You'll get your answer as :  √'xy/y

Answer:

There is an association because the relative frequencies by column are different.

Step-by-step explanation:

For checking the association of a two-way table we have to calculate the relative frequency of the table. Here we see that there is an association between timing and day pf watching the movie. Also here relative frequencies of both columns are similar.

Answer:

-4,-4,-4,-4,-2,-2,-2,-2,3,3,3,3,3,|5|,|5|,|5|,5,|6||6||-6||-6|

Numbers' absolute values are outputted as non-negative numbers. The arrangement of given numbers from least to greatest is: Option A: -4, -2, 3, |5|, |-6|

Modulus of a real number, also called absolute value, is non-negative result of the input value.

This is defined as:

[tex]|x| = x ; \text{ (x is non-negative)}\\\\|x| = -x ; \text{ (x is negative)}[/tex](so that the outer negative makes the negative number positive).

Example:

[tex]|5| = 5\\|-5| = -(-5) = 5[/tex]

A number has both magnitude(its absolute value) and its sign(positive or negative).

If numbers are negative, the more their magnitude increases, the lesser they become.

If numbers are positive, the more their magnitude increases, the greater they become.

Thus, for -5, the magnitude is 5, and sign is –ve.

Also, positive numbers > 0 > negative numbers.

For given case, we get:

Arranging, we get:

-4 < -2 < 3 < 5 < 6

or

-4 < -2 < 3 < |5| < |-6|

Thus,

The arrangement of given numbers from least to greatest is: Option A: -4, -2, 3, |5|, |-6|

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Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}x-2y=-4&(1)\\3x+5y=Q&(2)\end{array}\right\\\\\text{From (2, 3), put x = 2 and y = 3 to (2):}\\\\Q=3(2)+5(3)=6+15=21[/tex]

[tex]\sqrt{36}=6[/tex] and [tex]\sqrt{49}=7[/tex], so it stands to reason that [tex]\sqrt{42}[/tex] lies somewhere between 6 and 7.

[tex]

2x^2+5x+8=0 \\

x=\dfrac{-5+\vee-\sqrt{5^2-2\cdot2\cdot8}}{2\cdot2} \\

x=\dfrac{-5+\vee-\sqrt{25-64}}{4} \\

x=\dfrac{-5+\vee-\sqrt{-39}}{4}\Longrightarrow x\notin\mathbb{R} \\

x\notin\mathbb{R}\Longrightarrow x\in\mathbb{C}

[/tex]

So no real solutions for x. But two complex solutions for x.

[tex]

x_1=\boxed{\dfrac{-5-39i}{4}} \\ \\

x_2=\boxed{\dfrac{-5+39i}{4}}

[/tex]

Hope this helps.

r3t40

Answer:

[2, 1]

Step-by-step explanation:

By the Elimination method, you are left with 8x = 16 because -8 and 8 are what are called Additive Inverses, meaning they result in 0⃣; x = 2, plug 2⃣ back into both equations, and you will see that y = 1, making the solution above.

Solving for  b  by simplifying both sides of the equation, then isolating the variable.

b  =  −y  +  6x

----

Choosing three values for  x  and substitute in to find the corresponding  y  values.

(0,−3)  ,  (1,0)  ,  (2,3)

____

I hope this helps, as always. I wish you the best of luck and have a nice day, friend..

Answer:

Step-by-step explanation:

y = 6x -b

and -3x +y =-3

on simplifying equation 2 ,we have y = 3x -3

System of equation has infinite number of solution if one equation can be obtained by multiplying by suitable non zero number

if we multiply equation by 2 we get y =6x -6

Since coefficient of x and y is same therefore comparing the value of x b with constant in another equation which is 6 .

therefore b =6

Answer:

the best package is 15 lessons for $80

Answer:

Which package is the best deal? Option  D

(D) 15 lessons for $80    100% Answer

Step-by-step explanation:

Answer:

x=18y+5

Step-by-step explanation:

Answer:

x = 5 + 18y

Step-by-step explanation:

Equation: [tex]\frac{4(x - 5)}{8}[/tex] = 9y

Multiply and distribute: 4x - 20 = 72y

Add: 4x = 20 + 72y

Divide: x = 5 + 18y

Answer:

y=-2

Step-by-step explanation:

y+3y+5y=−18

Combine like terms

9y = -18

Divide each side by 9

9y/9 = -18/9

y = -2

The equation y + 3y + 5y = -18 simplifies to 9y = -18; solving for y, we find y = -2.

The equation presented is y + 3y + 5y = −18. To find the value of y, we first need to simplify the left-hand side of the equation by adding the similar terms together. In this equation, all terms on the left-hand side are multiples of y. Thus, y + 3y + 5y simplifies to 9y.

Our equation then becomes 9y = -18. To solve for y, we divide both sides of the equation by 9, yielding y = -2.

So, the value of y in this equation is -2.

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Answer:

8x^2 +14x +3

Step-by-step explanation:

(2x + 3)* (4x + 1)​

FOIL

first 2x *4x = 8x^2

outer  2x*1 = 2x

inner  3*4x =12x

last = 3*1 =3

Add them together

8x^2 +2x+12x +3 = 8x^2 +14x +3

1: n+5

2: n-5

3: x+8

4: x-8

5: 8-x

6: 5-n

7: x+(5+7)

8: x+(8+2)

9: x+(8-2)

10: x+x

Answer:

the correct answer is C

Step-by-step explanation:

Number of favorite outcomes=5

Total Number of outcomes=9

5/9 = 0.56

The probability that the next Tucker family vacation lasts less than 333 days is about 0.560.560, point, 56.