Help me please in this question

Answer:

[tex]a.) y=\frac{1}{4} x+3[/tex]

Step-by-step explanation:

Any two points along the line are (4,4) and (0,3),

[tex]Gradient= \frac{4-3}{4-0}=\frac{1}{4}[/tex]

we know the y intercept is 3

Therefore equation of the line is : [tex]y=\frac{1}{4} x+3[/tex]

By using a graphing calculator, the solution set that would be found in the overlapping areas of a graph of Jill's sales is (15, -4).

First of all, we would assign variables to the blend of brownies that were made by Jill for the bake sale as follows:

Since Jill sold more than 11 plates in total, we have:

x + y > 11.

Also, Jill sold less than $66.50 worth of brownies:

5.50x + 4.00y < 66.50.

By using a graphing calculator, the solution set that would be found in the overlapping areas of a graph of Jill's sales is (15, -4).

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The transformations which map f(x) to g(x) according to the equation are; Translation of f(x) 2 units to the left and 3 units upwards.

The equation given in the task content is as follows;

It therefore follows that the transformations which would produce function g(x) from f(x) involves a 2 units translation to the left and a 3 units translation upward.

Remarks:

The complete question requires that the transformations from f(x) to g(x) be identified.

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The solution to the inequality y > x + 3 and y < -x + 2 is the dark green region shown in the graph.

An equation is an expression that shows the relationship between two or more numbers and variables.

Inequality shows the non equal comparison of two or more numbers and variables.

Given the inequality y > x + 3 and y < -x + 2.

The solution to the inequality y > x + 3 and y < -x + 2 is the dark green region shown in the graph.

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Resolviendo un sistema de ecuaciones, vemos que se venden 6 libros de secundaria 4 y 6 libros de secundaria 1.

Primero definimos dos variables:

Sabemos que se venden 12 libros en total, entonces:

x + k = 12

Tambien sabemos que se recauda un total de $82, entonces:

x*$8 + k*$6 = $82

Entonces tenemos dos ecuaciones.

a) Usando la primer ecuacion, podemos aislar x para tener:

x = 12 - k

b) Ahora podemos reemplazar eso en la otra ecuación para solucionar el sistema.

(12 - k)*$8 + k*$6 = $82

$96 - $2*x = $82

$2*x = $12

x = $12/$2 = 6

Es decir se venden 6 libros de secundaria 4, y como se venden 12 libros en total, los otros 6 libros vendidos son de secundaria 1.

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Answer:

50

Step-by-step explanation:

I did this by inspection because {7, 24, 25} is a common trio, but ill just break it down for you.

Let the hypotenuse be x

Then [tex]14^2+48^2=50^2[/tex]

2500 = [tex]x^2[/tex]

x=50 or -50 (not applicable because you cannot have a negative length).

So the hypotenuse is 50.

Note: Common trios such as {3, 4, 5}, {5, 12, 13}, {7, 24, 25}, {8, 15, 17} are worth remembering as you can often multiply them in such questions. Such as in this question, {7, 24, 25} times 2 is {14, 48, 50}.

Hope you have a nice day!

Answer:

AC = 9

Step-by-step explanation:

Set the negative value into absolute as length cannot be negative.

⇒ AC = AB + BC

⇒ AC = |-5| + 4

Formula: |-a| = a

⇒ AC = 5 + 4

⇒ AC = 9

Answer: I think the length is 9 units

Step-by-step explanation:

The quadratic equation ax²+bx+c = 0 is given and this is illustrated below.

ax²+bx+c = 0

Step 1: Subtract c from both sides

ax²+bx+c-c = 0-c

ax²+bx = -c

Step 2: Divide both sides of the equation by a

ax²/a + bx/a = -c/a

x² + bx/a = -c/a

Step 3: Complete the square and add the quantity (b/2a)² times a squared to both sides

x² + bx/a +  (b/2a)² = -c/a +  (b/2a)²

Step 4: Square the quantity b/2a on the right side of the equation

x² + bx/a +  (b/2a)² =  -c/a +  b²/4a²

Step 5: Find a common denominator on the right side of the equation which is 4a²

x² + bx/a +  (b/2a)² =  -4ac/4a² +  b²/4a²

Step 6: Add the fractions together on the right side of the equation

x² + bx/a +  (b/2a)² =  (-4ac+  b²)/4a²

Step 7: The equation on the left is to be written as a perfect square as shown

(x+b/2a)² =  (-4ac+  b²)/4a²

Step 8: Take the square root of both sides

√(x+b/2a)² = √ (-4ac+  b²)/4a²

(x+b/2a) =  √(-4ac+  b²)/2a

Step 9: subtract b/2a from both sides

x+b/2a - b/2a =  -b/2a + √(-4ac+  b²)/2a

x =  -b/2a + √(-4ac+  b²)/2a

Step 10: Add the fractions together on the right-hand side

x =  -b±√(-4ac+  b²)/2a

This will then gives the required equation.

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The computation shows that the thickness of the beam is 3.75 inches.

11. The thickness of the beam will be:

= 3/4 inch × 5

= 3.75 inches.

12. The length of the board will be:

= 7 5/8 × 5

= 38.125 inches.

13. The total height of the stairs will be:

= 8 3/16 × 13

= 106.4375 inches.

14. The height of the stack will be:

= 55 × 3/8in

= 20.625 inches.

15. The length of the board will be:

= 3/4 × 86 1/4

= 64.6875 inches.

16. The number of hours that it'll take to replace the trim will be:

= 37 1/2 × 1/4

= 9.375 hours.

17. The height of the will required will be:

= 22 × 5/12

= 9.167 feet

18. The inches removed from the wood will be:

= 1/16 × 7

= 0.4375 inches.

19. The shortest finish stock will be:

= 3/16 × 15

= 2.8125 feet.

20. The total amount of board wasted will be:

= 3/16 × 11

= 2.0625 inches.

21. The total rise in the staircase will be:

= 22 × 7 3/8

= 162.25 inches.

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The type of data that would be best displayed in a box plot is the number of votes received by each of four candidate.

A box plot is used to study the distribution and level of a set of scores. The scores are distributed into 4 groups. Each group has a value of 25%

The whiskers represent the minimum and maximum scores.  On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.

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Answer: a = 18

Step-by-step explanation:

The pythagorean theorem says that the sum of the square of the two legs of a triangle is equal to the square of the hypotenuse.

The two legs are 80 and a, and the hypotenuse is 82 which gives us

80² + a² = 82²

a² = 324

a = 18.

Answer:

18

Step-by-step explanation:

a² + b² = c²

a² + 80² = 82²

a² + 6400 = 6724

a² = 324

a = √324

a = 18

The scatter plot is shown in the attached picture, and the line of best is also shown.

Scatter plots are graphs representing individual data points and are labeled with quantitative values on both the co-ordinate axes, meaning that there is only one projection on the x-axis and one on the y-axis for each point.

We have the data shown in the table.

We can plot the data on the coordinate plane such as:

(x, y) = (54, 92), (46, 80) and so on

We can find the equation of best fit:

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

y = mx + c

Thus, the scatter plot is shown in the attached picture, and the line of best is also shown.

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Answer:

Width = 3y - 3

Step-by-step explanation:

P = 2l + 2w

12x - 4y - 4 = 2(6x - 5y + 1) + 2w

12x - 4y - 4 = (12x - 10y + 2) + 2w

6y - 6 = 2w

w = 3y - 3

Answer:

x = 3

Step-by-step explanation:

1) Divide both sides by -2.

[tex]6^x=\frac{-432}{-2}[/tex]

2) Two negatives make a positive.

[tex]6^x=\frac{432}{2}[/tex]

3) Simplify [tex]\frac{432}{2}[/tex] to 216.

[tex]6^x=216[/tex]

4) Convert both sides to the same base.

[tex]6^x=6^3[/tex]

5)  Cancel the base of 6 on both sides.

x = 3

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathbf{-2(6)^x = -432}[/tex]

[tex]\huge\textbf{DIVIDE -2 to BOTH SIDES:}[/tex]

[tex]\mathbf{\dfrac{-2(6^x)}{-2} = \dfrac{-432}{-2}}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathbf{6^x = 216}[/tex]

[tex]\huge\textbf{Solve for the current exponent:}[/tex]

[tex]\mathbf{6^x = 216}[/tex]

[tex]\huge\textbf{Log them:}[/tex]

[tex]\mathbf{Log \ 6^x = log = 216}[/tex]

[tex]\huge\textbf{Take the log to both of the sides:}[/tex]

[tex]\mathbf{x \times log (6) = log(216)}[/tex]

[tex]\huge\textbf{Convert it:}[/tex]

[tex]\mathbf{x = \dfrac{log(216)}{log(6)}}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathbf{x = 3}[/tex]

[tex]\huge\textbf{Answer:}[/tex]

[tex]\huge\boxed{\mathsf{x = 3}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

-84.

Step-by-step explanation:

n * -5 = 420

n = 420/ -5 = -84.

Answer:

- 84

Step-by-step explanation:

let the other integer be x , then

- 5 × x = 420

- 5x = 420 ( divide both sides by - 5 )

x = 420 ÷ - 5 = - 84

This is an exponential function due to the presence of exponent

Exponential functions are inverse of logarithmic functions. Given the function below;

f(x) = 2^x - 14

This is an exponential function due to the presence of exponent and since the standard form of an exponential function is y = ab^x

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Answer:

126 ft^2

Step-by-step explanation:

The area of a rectangle is just its length times its width. We are given that the length is 14 ft, and the width is 9 ft. If we multiply the two quantities, we get that the area is 14*9 or 126 ft^2

Answer: 126ft^2

Step-by-step explanation:

area of rectangle=length*width

here

length=14 ft

width=9ft

area=14*9

area= 126 ft^2

Answer:

chord

Step-by-step explanation:

a chord is a line drawn from one part of a circle's circumference to another without passing through the centre.

If the line passed through the centre then it would be a diameter

Answer:

The answer would be A

Step-by-step explanation:

1^2=1×1= 1

2^2 =2×2=4

3^2=3×3=9

4^2=4×4=16

Therefore,

√11  lies between 3 and 4

Answer:

A

Step-by-step explanation:

[tex]since 3 is \sqrt{9} and 4 is \sqrt{16} then it follows that \sqrt{11} is between the two[/tex]

Considering the given function and the asymptote concept, we have that:

In this problem, the function is:

[tex]f(x) = \frac{5x}{x - 25}[/tex].

The vertical asymptote is found as follows:

x - 25 = 0 -> x = 25.

The horizontal asymptote is found as follows:

[tex]y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{5x}{x - 25} = \lim_{x \rightarrow \infty} \frac{5x}{x} = \lim_{x \rightarrow \infty} 5 = 5[/tex].

Hence the end behavior is that as [tex]x \rightarrow \infty, f(x) \rightarrow 5[/tex].

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Answer:

1/18

Step-by-step explanation:

P(Orange AND Red)

= P(Orange socks)*P(Red shirt)

= 1/3*1/6

= 1/18

The product of the two factors (t - sa) (9t + 6sa) is 9t² - 3tsa - 6s²a²

The product of two factors of an expression results in a quadratic or polynomial expression depending on the degree to which their power is being raised.

From the information given, we have:

= (t - sa) (9t +6sa)

= 9t² + 6tsa - 9tsa - 6(sa)²

= 9t² - 3tsa - 6s²a²

Therefore, we can conclude that the product of the two factors (t - sa) (9t + 6sa) is 9t² - 3tsa - 6s²a².

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Answer: the height of the pyramid is 6 inch.

Step-by-step explanation:

V=50 inch³    a=5 inch     H=?

Formula of  volume square pyramid is:

                    [tex]\boxed {V=\frac{1}{3}*S_{base}*H },[/tex]        

where:   Sbase - pyramid base area;

              H -   pyramid height.

Hence,

             [tex]H=\frac{3*V}{S_{base}}\\[/tex].

Since the pyramid is square, its base is a square.        ⇒

[tex]S_{base}=a^2\\S_{base}=(5\ inch)^2\\S_{base}=25\ inch^2\\H=\frac{3*50}{25} \\H=3*2\\H=6\ (inch).[/tex]

Good luck!    

The slope(m) of the given set is -3.

The slope(m) of a pair of the given ordered set is the change in the rise over the run. The rise is the y-axis while the run is the x-axis.

Mathematically;

[tex]\mathbf{Slope(m) = \dfrac{\Delta y}{ \Delta x}}[/tex]

[tex]\mathbf{Slope(m) = \dfrac{y_2-y_1}{x_2-x_1} }[/tex]

Here:

[tex]\mathbf{Slope(m) = \dfrac{12-9}{1-2} }[/tex]

[tex]\mathbf{Slope(m) = \dfrac{3}{-1} }[/tex]

Slope (m) = -3

Therefore, we can conclude that the slope of the given set is -3. From the given option, kindly find out which of the slope is equivalent to -3.

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Step-by-step explanation:

To write a polynomial in standard form, put the degree that are the greatest first

So here it would be

[tex] {x}^{5} + 4 {x}^{3} - 3 {x}^{2} + 10[/tex]

Remember constant are numbers that you learned back in elementary,

Numbers like 10,90,4,1,0,-3 etc.

Remember that constant are basically represented like this

[tex]k \times {x}^{0} [/tex]

For example, 10 is represented like

[tex]10 \times {x}^{0} [/tex]

Since 0 is the smallest degree possible, for a polynomial, constants are the last term of a polynomial in standard form

The first line is perpendicular, the second line is not perpendicular and not parallel , the third line is parallel to the above line and the forth line not parallel or perpendicular to the line.

The slope of the line  is been given as −3x+5y=−15

Then [tex]y= \frac{3}{5x} -3[/tex], hence the slope is [tex]\frac{3}{5}[/tex]

the slope is [tex]y= \frac{5}{-3x} +5\\\\\frac{5}{-3}[/tex]

this means that the line is perpendicular to the given line

[tex]y= \frac{3}{-5x} +15\\\\\frac{3}{-5}[/tex]

This means that the line is not perpendicular and not parallel

[tex]y= \frac{3}{5x} +15\\\\\frac{3}{5}[/tex]

This means that the line is parallel to the above line.

[tex]y= \frac{-3}{5x} +3\\\\\frac{-3}{5}[/tex]

This means that the line is not parallel or perpendicular to the line

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The standard form of a line passing through the points (-1, -3) and (2, 1) is 4x - 3y = 5.

The slope of the given line, m = (1 - (-3))/(2 - (-1)) = (1 + 3)/(2 + 1) = 4/3.

Computed using the formula for the slope of a line, m = (y₂ - y₁)/(x₂ - x₁), when a line passes through the points (x₁, y₁) and (x₂, y₂).

The point intercept form of a line is y - y₁ = m(x - x₁) when the line passes through the point (x₁, y₁) and has the slope m.

Thus, the given line in the point intercept form can be written as:

y - 1 = (4/3)(x - 2).

The standard form of a line is ax + by = c.

To convert the point intercept form to the standard form, we do as follows:

y - 1 = (4/3)(x - 2),

or, 3(y - 1) = 3(4/3)(x - 2) {Multiplying both sides by 3},

or, 3y - 3 = 4x - 8 {Simplifying},

or, 8 - 3 = 4x - 3y {Rearranging},

or, 4x - 3y = 5 {Rearranging and simplifying}.

Thus, the standard form of a line passing through the points (-1, -3) and (2, 1) is 4x - 3y = 5.

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x= 8 , -3

Given:

x² - 5x -24 =0

x² - 8x  + 3x -24=0

x(x-8) + 3(x- 8)=0

(x-8)(x+3)=0

x= 8 , -3

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