At a used book sale,5 books cost $15. How many books can u buy for $21

The equation y = -2x +12 in slope - intercept form.

Find the slope of the line that is parallel to y = -2x +3

Slope (m) = -2

Substitute and calculate ;

m = -2, x = 8 ,y = -4 into y = mx + b

-4 = -2 x 8 + b

Calculate the product :

-4 = -16 + b

Calculate the sum or difference:

-b = -12

b = 12

Again, Substitute m = -2 , b = 12 into y = mx +b :

y = -2x + 12

Rewrite the equation y = -2x + 12 in slope - intercept form:

y = -2x + 12

Hence, The equation y = -2x +12 in slope - intercept form.

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Step-by-step explanation:

due to the rules of crossing lines and their angles, the 2 angles opposite of each other must be equal.

so,

7x + 7 = 112

7x = 105

x = 15

Answer:

yes cause its in a form of y=mx+b

Step-by-step explanation:

Answer:

linear

Step-by-step explanation:

I got to K-12 and this was correct

Answer:

\(g(2) = 9\)

\(x = 1\)

\(g(0) = 1\)

\(g(x)=3^x\)

Step-by-step explanation:

To find g(2), find the y-value when x = 2.

From inspection of the graph, g(2) = 9.

To find x when g(x) = 3, find the x-value when y = 3.

From inspection of the graph, g(1) = 3, so x = 1.

To find g(0), find the y-value when x = 0.

From inspection of the graph, g(0) = 1.

Therefore, we have determined the following ordered pairs:

The given graph is a graph of an exponential function.

General form of an exponential function:

\(f(x)=ab^x\)

where:

The y-intercept is when x = 0.

As the y-intercept is 1, a = 1:

\(\implies g(x)=(1)b^x\)

\(\implies g(x)=b^x\)

To find the value of b, substitute one of the ordered pairs into the function and solve for b:

\(\begin{aligned}g(x)=b^x&\phantom{=}\\\implies g(2)=b^2&=9\\ \sqrt{b^2}&=\sqrt{9}\\b&=3\end{aligned}\)

Therefore, the rule for the graphed function is:

\(\boxed{g(x)=3^x}\)

Answer:

21

Step-by-step explanation:

The better buy is given by the following brand:

Brand A.

The better buy is obtained applying the proportions in the context of the problem.

A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.

Then the better buy is given by the option with the lowest cost per ounce.

The cost per ounce for each brand is given as follows:

$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.

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Answer:

150

Step-by-step explanation:

Answer: 150!

Step-by-step explanation:

i did the edge test, i got it right. trust me, i dont lie. :)  have a nice day<3

proof:

Answer:

x = 27

Step-by-step explanation:

the 2 angles form a straight line and sum to 180° , that is

3x + 9 + 90 = 180

3x + 99 = 180 ( subtract 99 from both sides )

3x = 81 ( divide both sides by 3 )

x = 27

Answer: 3(x+3)

Step-by-step explanation: 3x+9 then factor out 3 = 3(x+3)

The y-intercept of the equation of line  y = (7/9)x + 2/3 is 2/3.

The slope-intercept form is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the equation of line in the question;

y = 7/9 x + 2/3

Simplify the right hand side

y = (7/9)x + 2/3

Using the slope-intercept form, the y-intercept is 2/3.

Therefore, the y-intercept in point form is (0,2/3).

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Answer:

\( \frac{19}{4} \)

Step-by-step explanation:

\( \frac{5 + 4 + 6 + 6 + 5 + 5 + 4 + 3}{8} \)

=38/8

=19/4

answer

5+4+6+6+5+5+4+3/8 = 38÷8 19/4 = 35.375

Answer: (8,0) and (0,-4)

Step-by-step explanation:

The x-intercept of an equation is when the equation touches the x-axis which is also where y = 0

So the x coordinate of the x-intercept is -2x + 0 = -16 as y = 0

x = 8 so the x-intercept is (8,0)

The y-intercept of an equation is when the equation touches the y-axis which is also where x = 0

So the y coordinate of the y-intercept is 0 + 4y = -16 as x = 0

y = -4 so the y intercept is (0,-4)

Answer:

3902.444

Step-by-step explanation:

150.094*26=

3902.444

Answer:

3902.444

Step-by-step explanation:

if you have to multiply make to do it on a sheet of paper (if you can) then check it with a calculator. Hope this helps ;-)

Answer:

x is 12

Step-by-step explanation:

» From scalar properties:

\({ \tt{ \frac{FG}{FH} = \frac{AB}{AC} }} \\ \\ { \tt{ \frac{9}{6} = \frac{18}{x} }} \\ \\ { \tt{x = \frac{18 \times 6}{9} }} \\ \\ { \boxed{ \tt{ \: x = 12 \: }}}\)

The point (-2,2), we need to evaluate each case

In this case, for the real part we need to obtain -2

For the imaginary part, we need to obtain 2

As we can see the complex number that is shown in the graph is

ANSWER

A.

Answer:

  8.3 ft

Step-by-step explanation:

You want the height of the top of a 13 ft ladder whose base is 10 ft from the side of a house.

The ladder represents the hypotenuse of a right triangle with legs of 10 ft and the height up the side of the house.

  a² +b² = c² . . . . . . . . Pythagorean relation

  a² +10² = 13² . . . . . . . known values filled in

  a² = 169 -100 = 69 . . . . subtract 10²

  a = √69 ≈ 8.3 . . . . . . . . . . . take the square root

The top of the ladder is about 8.3 feet from the ground.

Answer:

The correct options are;

A, B, and D

Step-by-step explanation:

Geometry that can be completed with paper folding construction includes;

1) Constructing of a line perpendicular to another line through a point

2) Constructing a triangle from a vertex which is the altitude

3) Constructing a parallel line to a line through a given point

4) Construct bisector of an angle

5) Locating the in-center of a triangle

Therefore, the correct options are A, B, and D

Answer:

abd

Step-by-step explanation:

The cone has a height of 9 units and a base radius of 2 units, resulting in a volume of 37.68 cubic units.

To find the volume of a cone, we can use the formula V = (1/3) * π * r^2 * h, where V represents the volume, π is a mathematical constant approximately equal to 3.14, r is the radius of the base of the cone, and h is the height of the cone.

Given that the height (h) of the cone is 9 and the radius (r) is 2, we can substitute these values into the formula:

V = (1/3) * 3.14 * (2^2) * 9

= (1/3) * 3.14 * 4 * 9

= (1/3) * 3.14 * 36

= 3.14 * 12

= 37.68

Therefore, the volume of the cone is approximately 37.68 cubic units. The volume of a cone is one-third of the volume of a cylinder with the same base area and height. In this case, the cone has a height of 9 units and a base radius of 2 units, resulting in a volume of 37.68 cubic units.

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So, the values of the trigonometric functions of t are sin(t) = 1/7, cos(t) = -√(1 - (1/7)^2) and tan(t) = -(1/7)/(-√(1 - (1/7)^2)).

Given that csc(t) = 7 and cos(t) < 0, we can find the values of the other trigonometric functions of t using the relationships between the trigonometric functions.

csc(t) = 1/sin(t), so sin(t) = 1/7

Since cos(t) < 0, t is in the second or third quadrant, where sin(t) is positive. Hence, t is in the third quadrant.

Therefore, the values of the trigonometric functions of t are:

sin(t) = 1/7

cos(t) = -√(1 - sin^2(t)) = -√(1 - (1/7)^2)

tan(t) = sin(t)/cos(t) = -(1/7)/(-√(1 - (1/7)^2))

Note that the values of the other trigonometric functions, such as cot(t), sec(t), and csc(t), can be found using the definitions of these functions and the values of sin(t) and cos(t) that we have found.

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So, the values of the trigonometric functions of t are  \(Sin(t)=\frac{1}{7}\), \(Cos(t)=-\sqrt{[1-(\frac{1}{7})^2] }\)  and  \(tan(t)=\frac{\frac{1}{7} }{-\sqrt{1-(\frac{1}{7})^2 } }\).

Given that csc(t) = 7 and cos(t) < 0, we can find the values of the other trigonometric functions of t using the relationships between the trigonometric functions.

\(Cosec(t)=7\)

We known

⇒ \(Sin(t)=\frac{1}{Cosec(t)} =\frac{1}{7}\)

Since cos(t) < 0, t is in the second or third quadrant, where sin(t) is positive. Hence, t is in the second quadrant.

Therefore, the values of the trigonometric functions of t are:

⇒ \(Sin(t)=\frac{1}{7}\)

⇒ \(Cos(t)=-\sqrt{[1-(Sin^2t)]}\)

⇒ \(Cos(t)=-\sqrt{[1-(\frac{1}{7})^2] }\)

⇒ \(tan(t)=\frac{Sin(t)}{Cos(t)}\)

⇒ \(tan(t)=\frac{\frac{1}{7} }{-\sqrt{1-(\frac{1}{7})^2 } }\)

∴ Note that The definitions of the other trigonometric functions, along with the values of Sin(t) and Cos(t), can be used to determine the values of cot(t), Sec(t), and Cosec(t).

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Answer:

95/21

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(2-97)/(-11-10)

m=-95/-21

m=95/21

Alejandro stated -4/3 instead of -3/4 as the slope of the perpendicular line in step 2, therefore, his first error is in step 2.

For any two given perpendicular lines, they must have slope (m) values that are negative reciprocals of each other. The equation of any line can be written in slope-intercept form as, y = mx + b, where m is the slope of the line.

Given the equation, 4x - 3y = -8, rewrite in slope-intercept form:

-3y = -4x - 8

-3y/-3 = -4x/-3 - 8/-3

y = 4/3x + 8/3

This means that the line has a slope of 4/3. Thus, the slope of the line that is perpendicular to the given line would be the negative reciprocal of 4/3, which is: -3/4.

Thus, we can see that Alejandro stated -4/3 instead of -3/4 as the slope of the perpendicular line in step 2, therefore, his first error is in step 2.

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The given ratio becomes 6x : 3x : x.

6x = black paint

3x = green paint

x = blue paint

6x + 3x + x = 500

10x = 500

x = 500/10

x = 50

6x = 6(50) = 300

3x = 3(50) = 150

x = 50

Answer:

300 ml of the black paint.

150 ml of the green paint.

50 ml of the blue paint.

Answer: hortest side of the triangle is 24 units.

Step-by-step explanation: To solve for the shortest side of a triangle, we first need to simplify the given equation:

s + s + 8 - 18 = 38

Combining like terms, we get:

2s - 10 = 38

Adding 10 to both sides, we get:

2s = 48

Dividing by 2, we get:

s = 24

Therefore, the value of the shortest side of the triangle is 24 units.

Answer:

Step-by-step explanation:

To get the value of the expressions in list A and list B we will substitute y = 5 in each expression.                      

            List A                                        List B

1). 6 + 6y = 6 + 6(5) = 36              6y - 6 = 6(5) - 6 = 24

2). 6(y - 1) = 6(5 - 1) = 24               6(y + 1) = 6(5 + 1) = 36

3). 6y + 1 = 6(5) + 1 = 31                 1 + 6y = 1 + 6(5) = 31

Therefore, (6 + 6y) is equivalent to 6(y + 1)

6(y - 1) is equivalent to (6y - 6)

(6y + 1) is equivalent to (1 + 6y)

Answer: There is no association between the pounds of fruit purchased and the pounds of vegetables purchased.

Step-by-step explanation:

If we go through the answers step by step, we can try sorting out the best fit:

Option 1 doesn't work because there are some cases where the fruit purchased increases, but the pounds of vegetables didn't increase.

Option 2 also doesn't because again, there are some cases where fruit purchased increased, and the pounds of vegetables didn't decrease.

Option 4 also doesn't work because there are cases where the amount of fruit bought is not the same as the pounds of vegetables bought.

Thus, leading to the final answer, Option 3.

(A) The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R'  is 1/2

(B) Coordinates of Δ P"Q"R"

P" (-4,0)

Q"(-3,1)

R"(1,-2)

(C) Triangles PQR and P"Q"R" are not congruent.

Given

ΔPQR is transformed into ΔP'Q'R'

Coordinates of P, Q, R are

P (8,0),

Q(6,2)

R(-2,-4)

Coordinates of P'Q'R' are

P′(4, 0)

Q′(3, 1)

R′(−1, −2)

(A) By Distance formula we can find the distance between P Q and P'Q'

Distance formula = \(D = \sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

Where D = Distance between two points

from distance formula we can write that

PQ = \(\sqrt{(6-8)^{2} +(2-0)^{2} } = \sqrt{4+4} =2 \sqrt{2}\)

Similarly

P'Q'= √2

PQ /P'Q' = 2

hence the scale factor of dilation is 1/2 (Compression)

(B )The Coordinates of Reflection about y axis can be written for a point

(x,y) as (-x,y)

So the Coordinated of Δ P"Q"R" can be written as

P" (-4,0)

Q"(-3,1)

R"(1,-2)

(C) ΔPQR  and ΔP"Q"R" are similar triangles but they are not  congruent because their sides  are not equal in size.

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Elisa's error is multiplying both sides of the equation by 4.

The correct solution to the equation is shown below and the value of x is 15/2 or 7.5.

In order to evaluate and solve this equation, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the equation to the right. Lastly, the mathematical operations of addition or subtraction would be performed from left to right.

In this scenario and exercise, the first step is adding 3 to both sides of the equation as follows;

x/2 - 3 = 3/4

x/2 - 3 + 3 = 3/4 + 3

x/2 = 15/4

By cross-multiplying, we have the following:

4x = 30

x = 30/4

x = 15/2 or 7.5

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