Identify the slope and y-intercept of the line whose equation is given. write the y-intercept as an ordered pair. y = negative 2 x + 5 a. slope = negative 2; y-intercept (0, 5) b. slope = 2; y-intercept (0, 5) c. slope = 5; y-intercept (0, 2) d. slope = negative 5; y-intercept (0, 2) please select the best answer from the choices provided a b c d

Answers

Answer 1

The line having the equation, y = -2x + 5, has a slope = -2, and y-intercept = (0, 5). Thus, option A is the best choice.

The slope of a line is the tangent of the angle that the line makes with the positive side of the x-axis.

The y-intercept of a line is the point at which the line intersects the y-axis.

The standard form of a line is y = mx + b, where m represents the slope of the line, and b represents its y-intercept.

In the question, we are asked to identify the slope and the y-intercept of the line whose equation is y = -2x + 5.

Comparing the given equation of the line, y = -2x + 5, with the standard equation of a line, y = mx + b, we can say that,

m = -2, and b = 5.

Representing b as an ordered pair, we get (0, 5), as b represents the y-intercept which is a point on the y-axis, where the x-coordinate is always equal to zero.

Thus, we get the slope = -2, and the y-intercept = (0, 5).

The option representing the answer is option A.

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Related Questions

what would not be a step in solving 18=2(4+x)

Answers

Step-by-step explanation

Well you gave no answer choices so here are the steps and maybe you can just find out which one isn't here :)

18=2(4+x) first multiply 2 into 4+x

18=8+2x then subtract 8 from the other side

10=2x divide both sides by 2

x=5

Best of luck <3

Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify. 6 more than the cube of a number.

Answers

Answer:

Step-by-step explanation:

Comment

Start with the algebraic expression. Always do that x cubed means x^3 power or x * x * x.

Answer x^3 + 6

For parallelogram RYFU, let N be the intersection point of the diagonals. Let RF = 7x-11 and NF = 2x+2. Find the measurement of EVERYTHING that you know, if possible.

Answers

The diagonals of parallelogram RYUF each measure 24 units.

What is an equation?

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

Diagonals of parallelogram are congruent and bisect each other.

Point N is the intersection point of the diagonals of parallelogram RYFU. Hence, RF is the diagonal and N is the midpoint:

2 * NF = RF

2(2x + 2) = 7x - 11

x = 5

RF = 7(5) - 11 = 24

The diagonals of parallelogram RYUF each measure 24 units.

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I’m a football game the home team scored 2 times as many points as the visiting team, if the game ended with a total of 21 points. How many points did the visiting team score?

Answers

the visiting team scored ten points

Question 3 of 10
Use the quadratic formula to find both solutions to the quadratic equation
given below.
2x² + 3x-5=0
A. x = 1
B. x=-1
C.
D. x==2
E.
F.
x==2
X
=
+√8
x = 3-1
SUBMIT

Answers

Step-by-step explanation:

[tex]therefore \: x = 1[/tex]

The roots of the quadratic equation 2x² + 3x - 5 = 0 are  [tex]\frac{-5}{2}[/tex] and 1.

A quadratic equation is an equation of the form ax² + bx + c = 0. It is a polynomial with degree 2. In this equation, a is the coefficient of x², b is the coefficient of x, and c is the constant term.

The given quadratic equation is 2x² + 3x - 5 = 0.

Use the quadratic formula, also known as the Shreedharachrya formula to find the roots of the given equation:

[tex]x = \dfrac{-b\ \pm\ \sqrt{b^2-4ac}}{2a}[/tex]

  [tex]= \dfrac{-3\ \pm\ \sqrt{3^2-4\times2\times(-5)}}{2\times 2}\\= \dfrac{-3\ \pm\ \sqrt{9+40}}{4}\\\\= \dfrac{-3\ \pm\ \sqrt{49}}{4}\\= \dfrac{-3\ \pm\ 7}{4}[/tex]

[tex]x = \dfrac{-3-7}{4}[/tex] or [tex]x = \dfrac{-3+7}{4}[/tex]

[tex]x = \dfrac{-10}{4}[/tex] or [tex]x = \dfrac{4}{4}[/tex]

[tex]x = \dfrac{-5}{2}[/tex] or [tex]x = 1[/tex].

Hence, the roots of the given quadratic equation are [tex]\frac{-5}{2}[/tex] and 1.

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Marjorie and Blaine make chairs together. Marjorie builds the seat and Blaine independently sews the cushions to rest on top of them. It takes Marjorie 1 1/2hours to build the seat and Blaine 40 minutes to sew the cushion. How long would it take for them to make 10 chairs?

Answers

Making 10 chairs would take Marjorie and Blaine 21 hours and 40 minutes.

How long does it take to make 10 chairs?

The total time it takes Marjorie and Blaine to perform their respective tasks in building a chair is multiplied by 10 chairs, respectively.  This time is known as their speed.

The resulting figures are summed to get the total time.

Data and Calculations:

The total time it takes Marjorie to build a chair is 15 hours (1.5 hours x 10)

The total time it takes Baline to sew cushions per chair is 400 minutes (40 x 10) or 6 hours and 40 minutes.

Therefore, the total time to build 10 chairs is 21 hours, 40 minutes (15 hours + 6 hours and 40 minutes).

Thus, making 10 chairs would take Marjorie and Blaine 21 hours and 40 minutes.

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Suppose that Aces can be either high or low; that is, that {A, 2, 3, 4, 5} is a straight, and so is {10, Jack, Queen, King, Ace}. Moreover, a hand that is an Ace-high beats a King-high, etc. The number of ways of getting a five card hand that is two pair from a standard deck of cards is (Q8) The probability of being dealt a five card hand that is two pair from a well shuffled standard deck of cards is

Answers

The probability of being dealt a five card hand that is two pair from a well shuffled standard deck of cards is 40.

According to the statement

I have 10 starting cards, from Ace to 10, and 4 suits,

and by this way we get the 40 subsets and because of these subsets there is a probability becomes 40.

So, The probability of being dealt a five card hand that is two pair from a well shuffled standard deck of cards is 40.

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Find the value of X:

Answers

Answer:

15

Step-by-step explanation:

180-150 = 30

30 = 3x-15

45 = 3x

x = 15

math!! please please helppp!!!

What is the slope of the line below?

(i attached an image)


a) (0,4)

b) -1/3

c) (-1.5,0)

d) 3

e) 4

f) (0,4)

g) -3

h) 1/3

Answers

Answer:

D

Step-by-step explanation:

you can use the slope intercept form: y = mx + b.

y = y cooordinate

m = slope

x = x coordinate

b = y intercept

the y intercept is 4.

the point (1, 7) is what we're going to use.

so the new equation is

7 = m + 4 (it would be 1m, but i rewrote it to be mathmatically correct)

subtract 4 from both sides, you should have 3 = m.

the slope is 3

(PLEASE HELP ASAP!!) Look at the diagram of the tennis court below. The diagram contains examples of line segments, angles, planes, and vertices. Write the geometric term that best describes each part of the tennis court.

A Tennis Court
a. Playing Surface
b. Corner of Serving Box
c. Baseline
d. Net
e. Intersection of Baseline and Side Line

Answers

The geometric terms which best describe each part of this tennis court are:

Playing surface ⇒ PlaneCorner of serving box ⇒ VertexBaseline ⇒ LineNet ⇒ PlaneIntersection of baseline and side line ⇒ Line.

How to choose the geometric terms?

In Geometry, there are various geometric terms and these include the following:

Point: it is used to represent any intersection at a point.Line (line segment): it is used to show the distance between endpoints.Vertex: it is used to represent a corner.Plane: it is used to represent a surface.

In this context, we can logically deduce that the geometric terms which best describe each part of this tennis court are:

Playing surface can best be described by a plane.Corner of serving box can best be described by a vertex.Baseline can best be described by a line.Net can best be described by a plane.Intersection of baseline and side line can best be described by a line.

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Answer:

a. plane

b. angle

c. line segment

d. plane

e. vertex or angle

Step-by-step explanation:

This is the CORRECT answer

Find the Value of -3/7 ÷ 4
please answer fast

Answers

Answer:

Step-by-step explanation:

e.) Find the gradient of the line passes through the origin and point
[tex](2 \frac{1}{4} .4 \frac{1}{2} )[/tex]
What is the y coordinate of the line when x = 8? pls answer i will mark brainlest.​

Answers

Answer:

y is x

Step-by-step explanation:

l don't know step by step explanation

A store sells cards on each of which there are drawing of different flowers: either roses, either daisies, either tulips, either sunflowers. Each card also has a message "happy birthday!", Happy Holidays". Or "happy anniversary!". What is the greatest possible amount of different cards that this store sells?

Answers

The greatest number of different cards based on the permutations is 144.

How to compute the value?

From the information given, there are 4 versions which are either roses, daisies, tulips, or sunflowers and this is further divided into either Happy birthday, anniversary, or holidays.

Therefore, the greatest number of different cards will be:

= 4! × 3!

= 24 × 6

= 144

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This graph shows the solution to which inequality?

Answers

The graph shows the solution to inequality is; y > ¹/₃x - 2

How to interpret Inequality Graphs?

From the given graph, we see that the line joining the two dotted coordinates is a dashed line and as such the inequality will be less than or greater than.

Now, If a line passing through two points, then the equation of line is;

y - y1 = [(y2 - y1)/(x2 - x1)](x - x1)

Using the two given coordinates, we have;

y - (-3) = [(-1 - (-3))/(3 - (-3))](x - (-3))

y + 3 = (2/6)(x + 3)

y = ¹/₃x - 2

Since the related line is dashed and the shaded region is above the line, therefore the sign of inequality is >.

The graph shows the solution to inequality is;

y > ¹/₃x - 2

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38 students are going on a field trip. parents will drive. each car can hold 4 students along with the driver. how many cars will be needed?​

Answers

Answer:

8 cars :)

Step-by-step explanation:

1 car: 1 driver + 4 students = 5 people total

We must divide to solve :)

38/5 = 7 cars with 3 without a car.

Sine there is a remainder we will need 1 ore car so 8 cars altogether :)

Have an amazing day!!

Please rate and mark brainliest!!

Let a, b, and c be positive integers that form a geometric sequence. Given that a has 3 factors and c has 9 factors, how many factors can b have, at most?
Answer choices: 14, 9, 6, 8, 10.
DO NOT ATTEMPT IF YOUR NOT 98% SURE

Answers

Answer:

9

Step-by-step explanation:

it’s clear that a ,b and c are in geometric progression.

Then we have :

a

b = q×a

c = q²×a

also , b² = a×c

………………………

NOTE : b² and b have the same factors

also ,since b² = a×c then b and a×c

have the same number of factors.

_______________________________

Since c = q²×a then any factor of a is also a factor of c

Which means the number of factors of a×c

is equal to the number of factors of c.

Therefore b at most has the same number of factors as c.

Conclusion:

at most b has 9 factors.

……………………

As a side note :

You can take as example the numbers 3 , 30 , 300.

3 ——-> 1 factor

30 = 3×5×2 ——-> 3 factors

300 = 3 × 5² × 2² ——-> 3 factors

The point P(6, –1) is translated according to the rule (x, y) → (x – 5, y – 2).

What are the coordinates of P'?
P’(1, 2)
P'(1, 1)
P'(1, –3)
P'(4, 4)

Answers

The resulting point by considering that P(x, y) = (6, - 1) and P'(x, y) = P(x, y) + (- 5, - 2) is equal to the coordinates P'(x, y) = (1, - 3). (Right choice: C)

How to determined a resulting point by translation

In this question we need to determine the new location of a point by using a translation formula. Translations are rigid transformations in which a point is translated on a Cartesian plane. We have the following formula:

P'(x, y) = P(x, y) + (- 5, - 2)     (1)

Where:

P(x, y) - Original pointP'(x, y) - Resulting point

If we know that P(x, y) = (6, - 1), then the resulting point is:

P'(x, y) = (6, - 1) + (- 5, - 2)

P'(x, y) = (1, - 3)

The resulting point by considering that P(x, y) = (6, - 1) and P'(x, y) = P(x, y) + (- 5, - 2) is equal to the coordinates P'(x, y) = (1, - 3). (Right choice: C)

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Answer:

c

Step-by-step explanation:

The graph above is a transformation of the function x2 Write an equation for the function graphed above

Answers

Answer: y=0,5x²-x-1,5.

Step-by-step explanation:

[tex](-1;0)\ \ \ \ (3;0)\ \ \ \ (1;-2) \ \ \ \ y=ax^2+bx+c\ ?\\\left\{\begin{array}{ccc}a*(-1)^2+b*(-1)+c=0\\a*3^2+b*3+c=0\\a*1^2+b*1+c=-2\end{array}\right \ \ \ \ \ \left\{\begin{array}{ccc}a-b+c=0\ \ (1)\\9a+3b+c=0\ (2)\\a+b+c=-2\ (3)\end{array}\right \\[/tex]

We summarize (1) and (3):

[tex]2a+2c=-2\ |:2\\a+c=-1\ \ \ \ \Rightarrow\\a+b+c=-2\\(a+s)+b=-2\\-1+b=-2\\b=-1.[/tex]

Substitute b=-1 into (2):

[tex]9a+3*(-1)+c=0\\9a-3+c=0\\9a+c=3\ \ (5).\\[/tex]

From (5) subtract (4):

[tex]8a=4\ |:8\\a=0,5.\ \ \ \ \Rightarrow\\[/tex]

Substitute a=0,5 into (4):

[tex]0,5+c=-1\\c=-1,5.[/tex]

Hense:

y=0,5x²-x-1,5.

HELP PLEASE. 3(2x+3)=15​

Answers

If you are  solving for X then we have to do a few process

What you would want most is to remove the parentheses, so to do that i would use distributive property

3*2x is 6x and 3*3 is 9  so our new equation will look like

6x+9=15 if you don't understand please tell me

now we must bring the 9 over

If you bring the 9 over than it would become negative

6x=15-9

so 6x=6

and now you can solve the answer is x=1

Answer:

The solution is x = 1

Step-by-step explanation:

3(2x+3) = 15

6x+9 = 15

6x = 15-9

6x = 6

x = 6/6

x = 1

what is slope of line graped below?

Answers

The slope of the line is 1

to find the slope its rise (y value)/run (x value); the equation is

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

plugging the values from the graph into the equation:

[tex] \frac{4 - 2}{4 - 2} [/tex]

which simplifies to simply 1

Select the correct answer. What are the zeros of the graphed function? A polynomial function graph where the solid line intersects X-axis on origin (0, 0), (2, 0) and (4, 0). The same line intersects Y-axis at (0.5, 4) and (3.5, 4) A. 0 and 4 B. -4, -2, and 0 C. 0, 2, and 4 D. -4 and 0

Answers

Considering the situation described, the zeros of the function are given by:

C. 0, 2, and 4.

What are the zeros of a function f(x)?

The zeros of a function are the values of x when f(x) = 0, and can also be described as the values of x for which the line intersects the x-axis.

In this problem, the line intersects the x-axis at x = 0, x = 2, and x = 4, hence option C is correct.

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Do all these angles equal 360 degrees?

Answers

Answer:

The sum of the interior angles of any quadrilateral is 360 °

Step-by-step explanation:

Do all these angles equal 360 degrees?

The sum of the interior angles of any quadrilateral is 360 °

At the local fair, 358 people waited in line for a boat ride. The boat can hold 8 people. How many trips will the boat have to take for everyone to get a ride? .​

Answers

Approximately 45 trips / 44.75 (however, a boat can’t take 3/4 of a trip lol)

Joey brought a plot of land measuring 1 square mile, on which he plans to grow blueberries. He hires 346 people to plant each seedling, and each seedling requires 1.5ft of land. How many square feet of land can the 346 workers plant each minute?

Answers

The square feet of land that 346 workers can plant each minute is 2076 ft.

How many square feet of land can the 346 workers plant each minute?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

Square feet that can be planted each minute :

number of workers x feet of each seeding x ( one minute / time required to plant one seeding)

346 X 1.5 X (60 / 20) = 2076 ft

Here is the complete question:

Joey bought a plot of land measuring 1 square mile, on which he plans to grow blueberries. He hires 346 people to plant seedlings. It takes about 20 seconds to plant a seedling.  each seedling requires 1.5ft of land. How many square feet of land can the 346 workers plant each minute?

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URGENT NEED ANSWER NOWWWW!!! WORTH 27 POINTS!!!

Lauren has 108 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 9 kids on her block. Write an equation to show how many pieces of candy each kid will receive.

A. 9+x=108
B. x=108-9
C. x=108/9
D. x=9/8

Answers

The equation that shoes the pieces of candy each kid would receive is x = 108 / 9.

How many pieces of candy would each kid receive?

Division is the process of dividing a number into equal parts using another number. The sign used to denote division is ÷.

Candy each kid would get = total number of candy / total number of kids

x = 108/9

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Pls help solve part c

Answers

Answer:

See image below

Step-by-step explanation:

Every point starting at the y axis and extending left to ∞ represents the inequality x ≤ 0

Writing Exercises
297. Which method do you prefer to use when multiplying a trinomial by a binomial: the Distributive Property or the Vertical Method? Why?

Answers

Answer:

Hence we prefer the distributive method when multiplying trinomial by a binomial.

Step-by-step explanation:

Explanation

We have to explain when multiplying a trinomial by a binomial which method we prefer from the Distributive Property or the Vertical Method.We prefer the Distributive method because the method is the quickest than the vertical method methods as the vertical method has more steps than the distributive property also the vertical method is a bit complicated than the distributive method.

help please!

| 2x^2 + 5x + 3 | > 0
solve the inequality

Answers

Factorize the quadratic.

[tex]2x^2 + 5x + 3 = (2x + 3) (x + 1)[/tex]

We have [tex]|ab| = |a||b|[/tex], so

[tex]|2x^2 + 5x + 3| = |2x + 3| |x + 1| > 0[/tex]

Now, both [tex]|2x+3|\ge0[/tex] and [tex]|x+1|\ge0[/tex] (since the absolute value of any number cannot be negative), so we just need to worry about when the left side is exactly zero. This happens for

[tex](2x + 3) (x + 1) = 0 \implies 2x+3 = 0\text{ or }x+1 = 0 \\\\ \implies x = -\dfrac32 \text{ or } x = -1[/tex]

So the solution to the inequality is the set

[tex]\left\{x \in \Bbb R \mid x\neq-\dfrac32 \text{ and } x\neq-1\right\}[/tex]

Translate the triangle.
Then enter the new coordinates.
(3,4) A
C
(1,2)
B
(4,2)
<-2,4>
A' (1.8)
B'([?], [])
C'([] [])

Answers

The coordinates of the vertices of the translated triangle are A'(x, y) = (1, 8), B'(x, y) = (2, 6) and C'(x, y) = (- 1, 6).

How to translate a triangle by transformation rules

Graphically speaking, triangles can be generated by knowing its three vertices. In this question we must apply a kind of rigid transformation known as translation, whose formula is:

P'(x, y) = P(x, y) + T(x, y)     (1)

Where:

P(x, y) - Original pointP'(x, y) - Resulting pointT(x, y) - Translation vector

If we know that A(x, y) = (3, 4), B(x, y) = (4, 2), C(x, y) = (1, 2) and T(x, y) = (-2, 4), then the new coordinates are:

A'(x, y) = (3, 4) + (- 2, 4)

A'(x, y) = (1, 8)

B'(x, y) = (4, 2) + (- 2, 4)

B'(x, y) = (2, 6)

C'(x, y) = (1, 2) + (- 2, 4)

C'(x, y) = (- 1, 6)

Remark

The statement presents typing mistakes, correct form is:

Translate the triangle with the vector <- 2, 4>, then enter the new coordinates:

Original coordinates - A(x, y) = (3, 4), B(x, y) = (4, 2), C(x, y) = (1, 2).

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Solve the proportion.
3/6 = 7/d

Answers

To solve this proportion:

[tex]\frac{3}{6} =\frac{7}{d}[/tex]

Simplify 3/6, it reduces to 1/2

[tex]\frac{1}{2} =\frac{7}{d}[/tex]

Then do the Criss cross method

1d = 7 ×2

d=14

Hope it helps!

Answer:

d = 14

Step-by-step explanation:

We can use cross products to solve the proportion

3/6 = 7/d

3*d = 7*6

3d = 42

Divide each side by 3

3d/3 = 42/3

d = 14

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Scott Joplin got a job playing piano at the Maple Leaf Club where in 1899, publisher John Stark heard Joplin play his composition ________. Stark published the piece and within 10 years is had sold approximately one million copies. The first piece to do so A table blueprint uses the scale 3 inches :2 feet.If the model is 15 inches long how long is the table!!!!!HURRY What can be cut from a persons budget in order to save money? A) essential expenses B) income from wages C) income from interest Eliminate D) non-essential expenses Bacteriophages and animal viruses do not differ significantly in which one of the following steps?. Do the ch3f molecules appear to attract each other much? briefly describe their interaction. Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry passengers, and a flight has fuel and baggage that allows for a total passenger load of lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than lb. What is the probability that the aircraft is overloaded? should the pilot take any action to correct for an overloaded aircraft? assume that weights of men are normally distributed with a mean of lb and a standard deviation of. The use of ph is important for (multiple answer, 2 answers) the determination of the molar mass of a drug whether a drug can be extracted using a basic solution whether a drug can be extracted using an acidic solution the dissolution of a solid confirmation of a drug Which equation can be used to calculate the surface area of the triangular prism net show below?The net of a rectangular prism. The rectangular sides are 10 centimeters by 13 centimeters, 10 centimeters by 12 centimeters, and 10 centimeters by 5 centimeters. The triangular sides have a base of 5 centimeters and height of 12 centimeters. [Not drawn to scale]Surface Area = (one-half) (5) (12) + (5) (10) + (12) (10) + (13) (10)Surface Area = (one-half) (5) (13) + (one-half) (5) (13) + (13) (10) + (12) (10)Surface Area = (2) (5) (13) + (5) (10) + (13) (10) + (12) (10)Surface Area = (one-half) (5) (12) + (one-half) (5) (12) + (5) (10) + (12) (10) + (13) (10) Which of the following describes when the "rule of law is being exercised? Which method of paying for education is offered to students based on merit? A) credit B) grant Eliminate C) scholarship D) student loan The type of reasoning that attempts to understand the relationship between an event and its effects is called A single person earns a gross biweekly salary of $780 and claims 6 exemptions. how does their net pay change due to the federal income tax withheld?a.no federal income taxes are withheld.b.they will add $11 to their gross pay.c.they will subtract $11 from their gross pay.d.they will add $13 to their gross pay. 6. The city needs to buy grass to coverthe driving range. The measurement of thedriving range is 100 by 372 yards. If one bagof grass seed covers 75 square yards, how.many bags will the city need to buy to seed.the driving range?(A) 160(B) 357(C) 496(D) 653 The faucet dripped, is that a independent clause or is it a dependent clause I am totally horrible at geometry! can someone help me please The Bill of Rights expressed high principles and a collection of procedures found in Based on the operant approach, the bonus that SkyBlue is offering for employees who hit certain goals is considered a(n) __________ reward. The graph plots four equations. Which pair of equations has (4, 8) as its solution?(see picture) Deepak is choosing a password for his phone using letters from the alphabet, A-Z. The password must be four letters long, and he can repeat letters. How many different passwords can he create? Can someone help me please