Solve the following recurrence relation:
=−1 +; 1 =0.

Solution:

Note that:

Substitute the value of W into the formula (Area = LW).

Option C is correct.

Answer:

x=9

Step-by-step explanation:

Using the second equation (y=54), we can substitute 54 for y to solve for x...

y=6x

54=6x

Divide both sides by 6

x=9

Answer:

x = 9

Step-by-step explanation:

Since y = 54

54 = 6x

Divide both sides of the equation by the same term

54/6=6x/6

Simplify

x = 9

[RevyBreeze]

Answer:

Step-by-step explanation:

Given:

Find B + C - A:

A = [tex]3x² - 7x + 8[/tex]

B = [tex]x² + 8x - 3[/tex]

C = [tex]-5x²-3x + 2[/tex]

Lets find B + C - A :

→ [tex]B + C - A[/tex]

→ [tex]x² + 8x - 3+ (- 5x²-3x + 2)-(3x² - 7x + 8)[/tex]

→ [tex]x² + 8x - 3-5x² - 3x + 2-3x² + 7x - 8[/tex]

→[tex] (1-5-3)x² + (8 -3 + 7)x+ (-3 + 2 - 8)[/tex]

→ [tex]- 7x² + 12x - 9[/tex]

Answer:

63 papers total.

Step-by-step explanation:

3 piles, 21 papers a pile, 3*21 =63.

Answer:

63

Step-by-step explanation:

because 3x21 is 63

Answer:

9 bags pf spinach, 6 bags of carrots

Step-by-step explanation:

x bags of spinach, y bags of carrots,

x + y = 15                 (1)

weight of spinach = 5 * x, weight of carrots = 7 * x

5x + 7y = 87           (2)

From (1) y = 15 - x

Sub it into (2):

5x + 7(15 - x) = 87

5x + 105 - 7x = 87

2x = 105 - 87 = 18

x = 9

y = 15 - x = 15 - 9 = 6

So 9 bags pf spinach, 6 bags of carrots.

Answer:

13/21

Step-by-step explanation:

65/105 = 13/21

Solution:

The expression "a(b-c)" is an example of distributive property. To simplify it, simply multiply a by the terms inside the bracket.

Simplifying the distributive property.

Hence, the simplified expression is ab - ac.

We can use the distributive law to simplify it or factor it but more

[tex]\\ \tt\hookrightarrow a(b-c)[/tex]

[tex]\\ \tt\hookrightarrow a(b)-a(c)[/tex]

[tex]\\ \tt\hookrightarrow ab-ac[/tex]

Answer:

[tex]\red{ m\angle B= 121\degree}\\\\\purple{AD=23\: units}[/tex]

Step-by-step explanation:

Quadrilateral ABCD is a parallelogram.

opposite angles of a parallelogram are equal in measure.

[tex]\implies (10x-19)\degree=(9x-5)\degree[/tex]

[tex]\implies 10x-19=9x-5[/tex]

[tex]\implies 10x-9x=19-5[/tex]

[tex]\implies x=14[/tex]

[tex]m\angle B= (9x-5)\degree[/tex]

[tex]\implies m\angle B= (9*14-5)\degree[/tex]

[tex]\implies m\angle B= (126-5)\degree[/tex]

[tex]\huge\implies m\angle B= 121\degree[/tex]

Opposite sides of a parallelogram are equal.

3y - 1 = y + 15

3y - y = 15 + 1

2y = 16

y = 16/2

y = 8

AD = 3y - 1 = 3*8 - 1 = 24 - 1

AD = 23

Answer:

19

Step-by-step explanation:

Answer:

19

because it has only two factors and prime has only two factors

Answer:

240

Step-by-step explanation:

because adding the 45's 4 times then adding 60.

sorry if im wrong btw.

Answer:

  61%

Step-by-step explanation:

Multiply the fraction by 100%.

  76/125 × 100% = (7600/125)% = 60.8% ≈ 61%

Answer:

0.75 lb potato salad = $2.22

Step-by-step explanation:

If 1 pound of potato salad = $2.96

Then 0.75 pounds of potato salad = 0.75 x 2.96 = 2.22

Answer:

38

Step-by-step explanation:

[tex]46 - {2}^{4} \div (3 - 1) \\ 46 - 16 \div (2) \\ 46 - 8 \\ = 38[/tex]

first calculate whats in the brackets.

then divide

and lastly subtract

Answer:

2/3

Step-by-step explanation:

Answer:

Don't know the answer but good luck?

Step-by-step explanation:

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

[tex]\mathsf{x^4\ \bullet \ x^{-7}}\\\\\mathsf{\rightarrow x\bullet x\bullet x\bullet x (\dfrac{1}{x\bullet x \bullet x \bullet x\bullet x \bullet x \bullet x})}\\\\\mathsf{\star \heartsuit \ - 7 = \bf -3 \ \star \heartsuit}\\\\\mathsf{\rightarrow \dfrac{1}{x\bullet x \bullet x}}\\\\\mathsf{\approx \dfrac{1}{x^3}}\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{\dfrac{1}{x^3}}}}\huge\checkmark[/tex]

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

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

  D. II only

Step-by-step explanation:

The square root equations will each have only one real solution. (Sometimes, there is an extraneous solution if the variable is also found outside the radical.)

The rational equation will result in a quadratic when it is simplified. It will have two real solutions.

Only equation II will have two real solutions.

Answer:

Negative relationship

Step-by-step explanation:

It is going in a negative direction.

Pls mark brainliest :)

Percentage

100:50 x 20 = 40

Answer:

K/q = p if you're taking about the inverse proportions

The amount of time it would take for the rock to hit the ground is 1.25 seconds.

Given the following data:

Scientific data:

To determine the amount of time it would take for the rock to hit the ground, we would apply the parabolic function:

Mathematically, the parabolic function is given by this formula:

[tex]h(t) = -16t^2 +ut+h_0[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]0 = -16t^2 +16t+5\\\\16t^2-16t-5=0\\\\(4t+1)(4t-5)=0[/tex]

Taking the positive value of t, we have:

[tex]4t-5-0\\\\4t=5\\\\t=\frac{5}{4}[/tex]

t = 1.25 seconds.

Read more on time here: brainly.com/question/24728358

Answer:

At least one student is 23: Must be true

Some students are younger than 15: Could be true

Step-by-step explanation:

Statement 1: A median is a number in the middle for ex. 1, 2, 3, 4, 5 in this example 3 is the median. Another ex could be 1, 2, 3, 4, 5, 6. This time you would have to add (3 + 4), divide by 2, which equals 3.5.

Since there are 21 students in class making it an odd number 23 must be true.

Statement 2: Based on the information I am given, I would say could be true because the difference between the oldest and the median is 29 - 23 = 6 so it could be true.

Answer:

1) At least one (the 11th) student is 23 (years old), Must be true

2) Some students are younger than 15 Could be true

Step by step explanation:

1) The given parameters are;

The number of student in the class = 21

The median age of the student = 23

The age of the oldest student = 29

Therefore, given that the median age = The age of the (n + 1)/2 the student

Where;

n = The number of student in the class = 21

The median age = The age of the (21 + 1)/2 th = 11 th student, when the age of the students are arranged in increasing order, therefore, we have;

At least one (the 11th) student is 23 (years old), Must be true

2) Given that there are 10 students with ages equal to or lower than the  median age, and the difference between the median age and the age of the oldest student = 29 - 23 = 6 years, we have;

Some students are younger than 15 Could be true

firstly let's convert the mixed fractions to improper fractions and then divide.

[tex]\stackrel{mixed}{2\frac{2}{5}}\implies \cfrac{2\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{12}{5}} ~\hfill \stackrel{mixed}{2\frac{1}{10}}\implies \cfrac{2\cdot 10+1}{10}\implies \stackrel{improper}{\cfrac{21}{10}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{12}{5}\div \cfrac{21}{10}\implies \cfrac{12}{5}\cdot \cfrac{10}{21}\implies \cfrac{120}{105}\implies \cfrac{8}{7}\implies 1\frac{1}{7}[/tex]

Answer:

first make them improper fractions

2 2/5 = 12/5

2 1/10 = 21/10
now set them up

12/5 divided by 21/10

make 21/10 a reciprocal(flip the fraction upside down)  and multiply across

12/5 x 10/21 = 1.14 or 1 1/7

Answer:

y= 3/2x-1/2

Step-by-step explanation:

Answer:

3/2 or 1.5

Step-by-step explanation:

gradient = ∆y/∆x

∆y = 4 - 1 =3

∆x = 3 - 1 = 2

∆y/∆x = 3/2

Answer:

[tex]x - 4y = - 6 \: ......(1) \\ \\ 2x + 3y = 10 \: .......(2)[/tex]

from equation (1)

[tex]x - 4y = - 6 \\ \\ 4y = x + 6 \\ \\ y = \frac{x + 6}{4} [/tex]

Substitute " y " in equation (2)

[tex]2x + 3y = 10 \\ \\ 2x + 3( \frac{x + 6}{4} ) = 10 \\ \\ 2x +( \frac{3x + 18}{4} ) = 10 \\ \\ \\ \frac{8x + 3x + 18}{4} = 10 \\ \\ \\ 8x + 3x + 18 = 10 \times 4 \\ \\ 11x + 18 = 40 \\ \\ 11x = 40 - 18 \\ 11x = 22 \\ \\ x = \frac{22}{11} \\ \\ x = 2[/tex]

[tex]y = \frac{x + 6}{4} \\ \\ y = \frac{2 + 6}{4} \\ \\ y = \frac{8}{4} \\ \\ y = 2[/tex]

Answer:

D

Step-by-step explanation:

i already did the test

Answer:

d

Step-by-step explanation:

Answer:

What is the length of the altitude drawn to the hypotenuse?, Corollary: The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the two segments of the hypotenuse.

Furthermore, When an altitude is drawn to the hypotenuse of a given right triangle the new figure comprises two similar right triangles?, Theorem 62: The altitude drawn to the hypotenuse of a right triangle creates two similar right triangles, each similar to the original right triangle and similar to each other. Figure 2 shows the three right triangles created in Figure . They have been drawn in such a way that corresponding parts are easily recognized.

Finally,  When the altitude is drawn to the hypotenuse of a right triangle three similar triangles are formed?, The Inscribed Similar Triangles Theorem states that if an altitude is drawn from the right angle of any right triangle, then the two triangles formed are similar to the original triangle and all three triangles are similar to each other. Perpendicular lines are lines that intersect at a 90^{circ} angle.

Step-by-step explanation:

Given :

Solution:

hope it helped!