Write the standard form of the equation of the line passing through (-5, 1) and is parallel to y = -2/5x -5

Answers

Answer 1

The equation of the line passing through (-5, 1) and is parallel to y = -2/5x -5 in standard form is 5y + 2x = -5

How to find the equation of a line?

The equation of a line can be represented in standard form or slope intercept form as follows;

Slope intercept form,

y = mx + b

where

m = slopeb = y-intercept

Line are parallel when they have the same slope.

Therefore, the slope of the equation has a slope of - 2 / 5 x.

The line passes through (-5, 1).

Hence, let's find y-intercept.

y = - 2 / 5 x + b

1 = - 2 / 5 (-5) + b

1  - 2 = b

b = -1

Therefore, y = -2 / 5x - 1.

The equation in standard form should be in the form Ax + By = C.

Hence,

y + 2 / 5 x  = -1

5y + 2x = -5

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Related Questions

help meeeeeeeeeee pleaseeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The perfect square trinomial is x² + 10x + [tex] \boxed{\sf 25} [/tex]The factored perfect square trinomial is [tex] \boxed{\sf (x + 5)(x + 5) \ or \ {(x + 5)}^2} [/tex]

Step-by-step explanation:

Given:

Binomial: x² + 10x

To Find:

Constant that should be added to the binomial so that it becomes a perfect square trinomial.Factor the trinomial.

Solution:

To find the constant we would compare the binomial with (a + b)² i.e. a² + 2ab + b² as it is the formula for perfect square.

By comparing we get:

a² = x²

2ab = 10x

b² = constant (To find out)

From this we can make out:

a = x

[tex] \therefore[/tex]

[tex] \rm \implies 2 \times x \times b = 10x \\ \\ \rm \implies b = \frac{10x}{2x} \\ \\ \rm \implies b = 5 \\ \\ \therefore \\ \\ \rm \implies {b}^{2} = 25[/tex]

So, constant that should be added to the binomial so that it becomes a perfect square trinomial is [tex] \boxed{\rm 25} [/tex].

Perfect square trinomial is x² + 10x + 25

Factorisation of the trinomial:

[tex] \rm \implies {x}^{2} + 10x + 25 \\ \\ \rm \implies {x}^{2} + 10x + {5}^{2} \\ \\ \rm \implies {x}^{2} + 5x + 5x + {5}^{2} \\ \\ \rm \implies x(x + 5) + 5(x + 5) \\ \\ \rm \implies (x + 5)(x + 5) \\ \\ \rm \implies {(x + 5)}^{2} [/tex]

I need help like asap !!!

only numbers and decimal points ​

Answers

Now we have to,

→ find the required value of b.

Formula we use,

→ (AC)² = (BC)² + (AB)²

Then the value of b will be,

→ (10)² = b² + (6)²

→ 100 = b² + 36

→ b² = 100 - 36

→ b = √64

→ [ b = 8 ft ]

Hence, value of b is 8 ft.

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Answers

Answer: What??

Step-by-step explanation:

I NEED HELP PLEASE DUE TODAY


Look at the picture for the problem
Please answer both parts
part a and b

Answers

a. The equation that represents the given data is y = 700x + 2,000.

b. The average daily attendance at Disneyland on its 80th anniversary is 58,000.

We are given the data about average daily attendance at Disneyland's anniversary celebrations. At Disneyland's 40th anniversary, the average daily attendance was 30,000 people. On the 60th anniversary, the average daily attendance was 44,000 people. We need to create an equation that would represent y, the average daily attendance, based on x, the number of years after Disneyland opened.

We can write the data in the form of points on the coordinate axes. The coordinates of the points are (40, 30,000) and (60, 44,000). We can use the two-point form to write an equation.

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

(y - 30,000) = [(44,000 - 30,000)/(60 - 40)]*(x - 40)

(y - 30,000) = [(14,000)/(20)]*(x - 40)

(y - 30,000) = (700)*(x - 40)

y = 700x - 28,000 + 30,000

y = 700x + 2,000

Now, we need to find out the average daily attendance at Disneyland on its 80th anniversary.

y = 700*80 + 2,000

y = 56,000 + 2,000

y = 58,000

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5. A rectangular 52 inch flat screen TV has a length of 42 inches. The salesman explains that all TV's are sold by the length of the diagonal. So, a 52 inch flat screen TV actually has a diagonal measure of 52 inches. To the nearest whole inch, what is the height of the TV?​

Answers

The height of the TV is 31 inches . This can be calculated using Pythagoras theorem.

What is Pythagoras theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse.

Main Body:

according to the question --

hypotenuse = 52 in

base = 42 in

height =?

Pythagoras theorem = [tex]{P^{2} +B^{2} }[/tex] = [tex]H^{2}[/tex]

inserting the values --

52² = 42² +H²

H² = 2704- 1764

H² = 940

H≈31 inches

Hence the height of TV is 31 inches

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Question 4 (10 points)
(02.07 MC)

The figure shows triangle PQR and line segment AB, which is parallel to QR:

Triangle PQR has a point A on side PQ and point B on side PR. The line AB is parallel to the line QR.
Part A: Is triangle PQR similar to triangle PAB? Explain using what you know about triangle similarity. (5 points)

Part B: Which line segment on triangle PAB corresponds to line segment QR? Explain your answer. (3 points)

Part C: Which angle on triangle PAB corresponds to angle Q? Explain your answer. (2 points)

Answers

The location of the points A and B on side PQ and PR, and the information that segment AB is parallel to QR indicates;

Part A: Triangle ΔPQR is similar to ΔPAB by AA similarity postulate

Part B: The line segment on triangle ΔPAB that corresponds to line segment QR is segment AB

Part C: The angle on triangle ΔPAB that corresponds to angle ∠Q is angle ∠A

What makes two triangles similar?Two triangles are similar if two angles in one triangle are congruent to two angles in the other triangleThe lengths of all three sides of one triangle that is similar to other another triangle are proportional to the three sides of the other triangleTwo triangles are similar if two sides of on triangle are proportional to two sides of the other or second triangle and if the included angle between the two sides are congruent.

Please find attached the drawing of triangles ΔPQR and ΔPAB created with MS Word

The in formation in the question are;

Line [tex]\overline{AB}{[/tex] is parallel to [tex]\overline{QR}[/tex], [tex]\left(\overline{AB} \parallel \overline{QR}\right)[/tex]

ΔPQR and ΔPAB overlap

Part A: Angle ∠PQR is congruent to angle ∠PAB (corresponding angles to parallel lines having a common transversal)

∠PRQ is congruent to ∠PBA (Corresponding angles formed by a common transversal to parallel lines)

ΔPQA is similar to ΔPAB (Angle-Angle, AA similarity postulate)

Part B: Corresponding sides of triangles are located on the same relative position within the triangle

Segment QR is the included segment to ∠PQR and ∠PRQ, which are each congruent to ∠PAB and ∠PBA, respectively in ΔPAB and segment AB is the included side to ∠PAB and ∠PBA, therefore, the line segment on triangle ΔPAB that corresponds to line segment QR is segment AB

Part C: Angle ∠Q on triangle ΔPQR is adjacent to segment QR on the right and angle ∠P on the left, while angle ∠A is adjacent segment AB on the right and ∠P on the right, segment AB in ΔPAB corresponds to segment QR on triangle ΔPQR, therefore, by the relative position of angle ∠A on triangle ΔPAB, it is the angle that corresponds to angle ∠Q

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suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. how many times would we have to flip the coin in order to obtain a 99% confidence interval of width of at most .18 for the probability of flipping a head? (note that the z-score was rounded to three decimal places in the calculation) a) 164 b) 205 c) 167 d) 212 e) 202 f) none of the above

Answers

The coin is flipped at least 52 times in order to obtain a 99% confidence interval of width of at most . 18 for the probability of flipping a head.

Hence, Option F is correct answer.

In a sample with a number n of people surveyed with a probability of a success of π , and a confidence level of (1-α), we have the following confidence interval of proportions.

[tex]\pi[/tex] ± z[tex]\sqrt{\frac{\pi \p(1-\pi )}{n} }[/tex]

z is the z-score that has a pvalue of [tex]1-\frac{\alpha }{2}[/tex]

Since, the coin is fair, so [tex]\pi =0.5[/tex].

The margin of error is:

[tex]M=z\sqrt{(\frac{\pi (1-\pi )}{n} )}[/tex]

99% confidence level:

So [tex]\alpha =0.01[/tex] ,z is the value of Z that has a p value of 1-[tex]\frac{0.01}{2}[/tex]=0.995,

so Z= 2.575

How many times would we have to flip the coin ?

We have to flip the coin in order to obtain a 99% confidence interval of width of at most 18 for the probability of flipping a head at least n times.

n is found when M=0.18 .

So

M=[tex]z\sqrt{\frac{\pi (1-\pi )}{n} }[/tex]

[tex]0.18=2.575\sqrt{\frac{0.5*0.5}{n} }[/tex]

[tex]0.18\sqrt{n} =2.575*0.5[/tex]

[tex]\sqrt{n}=\frac{2.575*0.5}{0.18}[/tex]

[tex]\sqrt{n} ^{2} =(\frac{2.575*0.5}{0.18} )^{2}[/tex]

n = 51.16

Thus, we have to flip the coin at least 52 times.

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an insurance company won't repair a car when the cost of the repair is 25% or more of the car's value. if a repair costs $1400, what is the value of the car (in interval notation)?

Answers

The interval of the cost of the car is [5600, ∞).

Here we have to find the cost of the car.

Let x be the cost of the car.

So from the question, we have that the cost of the repair is 25% or more of the car's value.

So we have to find the interval notation of the cost of the car.

x ×25% ≥ 1400

x × 25/100 ≥ 1400

x ≥ 1400× 100/25

x≥ 5600

So we get that the cost of the car is greater than $5600.

Therefore the cost of the car in an interval is [5600, ∞)

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By the triangle sum theorem, the sum of the angles in a triangle is equal to Response area. Therefore, m∠A+m∠B+m∠C=180°. Using the Substitution Property, (4x)°+90°+(x+10)°=180°. To solve for x, first combine like terms to get 5x + 100 = 180. Using the Response area, 5x = 80. Then, using the division property of equality, x = 16. To find the measure of angle A, use the Response area to get m∠A=4(16)°. Finally, simplifying the expression gets m∠A=64°.

Answers

The required measure of the angle is m∠A=64°.

What is the angle?

orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

,

Here,
Angles are represented by an algebraic expression, and the sum of the angle is 180°.
According to the question,
m∠A+m∠B+m∠C=180°
Substitute the value in the equation,
4x+90°+x+10=180°
5x = 180 - 100
5x = 80
x = 16°

Thus, the required measure of the angle is m∠A=64°.

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What happens if the slope is undefined? Provide an example of two points that would be on a line with an undefined slope.

Answers

What happens when the slope of a line is undefined is that, the line is a vertical line that crosses the x-axis.

The points could be (1, 5) and (1, 10)

How to explain the undefined slope?

It is known that linear equations have slopes

These slopes are the average rate of change of the function

The values of these slopes can be

ZeroPositive or negativeUndefined

When the slope is undefined, it means that the line is a vertical line

An example of the vertices on such line is (x, y) and (x, y + n)

See that the x coordinate remains constant, while the y coordinate changed

Take for instance, a line that passes through (1, 5) and (1, 10) would have an undefined slope

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p(x) = (x² - 9) (x² + x - 2)

factor for zeros to plot on a graph

pls help :(

Answers

Answer:

P(x) = (x - 3)(x + 3)(x + 2)(x - 1)

Answer:

Step-by-step explanation:

Solution:To write a polynomial in standard form, simplify and then arrange the terms in descending order.Expand ( x2 − 9 )( x + 2 ) using the FOIL Method.Simplify each term.

Please help me with this math problem

Answers

Answer: B. ≤

Step-by-step explanation:

The largest U.S. flag in the world is 225 feet by 505 feet.
------------------------

If a square yard of the flag weighs about 3.8 ounces, how much does the entire flag weigh in pounds?

Answers

The weight of the U.S. flag in pounds is 2,998.44 pounds.

What is the weight of the flag?

The dimension of the U.S. flag is in feet. The dimensions have to be converted to yards.

1 foot = 1/3 yards

225 / 3 = 75 yards

505 / 3=  168.33 yards

The next step is to determine the area of the U.S. flag.

Area = length x width

75 x 168.33 = 12,625 yards²

Weight of the U.S. flag in ounces = 12,625 yards² x 3.8 = 47,975 ounces

1 ounce = 1/16 pounds

Weight of the U.S. flag in pounds = 47,975 / 16 = 2,998.44 pounds

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in november's math meet, the little monsters of beast academy solved $\frac{1}{5}$ of the problems. in march's math meet, they solved $\frac 23$ of the problems. (there might be different numbers of problems asked in november and march.) in total, the little monsters solved $13$ of $30$ problems over both math meets. how many problems were asked at march's math meet?

Answers

The little monsters solved 15 problems in March's Math meet

Given, that in November's math meet, the little monsters of beast academy solved 1/5 of the problems.

In March's math meet, they solved 2/3 of the problems.

In total, the little monsters solved 13 of 30 problems over both math meets.

Let, the number of problems in November be n,

and  the number of problems in March be m

According to the question,

n + m = 30 as, the total problems be 30

Now, (1/5)n + (2/3)m = 13 as, they solved total 13 problems

n + m = 30 ... (1)

n/5 + 2m/3 = 13 ... (2)

On simplifying Eq (2) becomes

3n + 10m = 195 ... (2)

On multiplying Eq (1) by 3, we get

3n + 3m = 90

3n + 10m = 195

On subtracting, we get

- 7m = - 105

m = 105/7

m = 15

So, the problems asked in March's Math meet be 15.

Hence, 15 problems were asked at March's Math meet.

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a campus radio station surveyed 500 students to determine the types of music they like. the survey revealed that 206 like rock, 161 like country, and 118 like jazz. moreover, 30 like rock and country, 27 like rock and jazz, 22 like country and jazz, and 11 like all three types of music. what is the probability that a randomly selected student likes jazz or country but not rock? note: a venn diagram may be useful here. a) 0.400 b) 0.300 c) 0.522 d) 0.262 e) 0.422 f) none of the above.

Answers

The probability that a randomly selected student likes neither rock nor country is taken as;

P(R' ∩ C') = 0.326

Let us denote them as follows;

Number that like to be rock music be - R

Number that like to be Country music be - C

Number that like to be Jazz music be - J

Thus, as we are given and we have;

R is equal to 206

C is equal to 161

J is equal to  118

P(R') =206

P(C') =161

P(R' ∩ C') = 0.326

So, now P is removed  

R ∩ C = 30 - 11 = 1

Hence the answer is none of the above

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How can the dimensions of algebra tile rectangles and area models be used to represent expressions and multiplication?

Answers

The dimensions of algebra tile rectangles and area models can be used to represent expressions and multiplication by measuring the length and breadth of the tiles and multiplying them.

What is a Rectangle?

This is a plane figure which is referred to as a quadrilateral and has four right angles. The area is calculated by the following below:

Area = Length × breadth.


In cases where the algebra tile rectangles is used , it is ideal to first measure the length and the breadth after which they are then multiplied to give the appropriate answer. For example if the length is 7cm and the breadth is 6cm then the area will be  7cm × 6cm = 42cm²

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Joseph, a programmer needs to write a program using subordinate functions. what function should joseph use in a program to call subordinate functions?

Answers

Use parentheses that may or may not contain parameters directly after the function name to invoke the function.

What do you mean by subordinate roles?

As part of GAIA, the AI created for Project Zero Dawn in reaction to the Faro Plague, the subordinate functions are a part. The Faro Swarm's deactivation and the planet's terraforming are all objectives of Project Zero Dawn, and they are all accomplished through their extensive suite of subfunctions, each of which is dedicated to a particular purpose.

What is the total number of subordinate functions?

There are nine supporting roles.

A top engineer on the Zero Dawn project known as an Alpha created each of the nine subordinate functions. They were supported by a project development team made up of professionals in their industry who were well-known throughout the world.

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a point is randomly picked from inside the rectangle with vertices , , , and . what is the probability that ?

Answers

The probability that x < y is 1/8 or 0.25 .

What is probability of an event?
The possibility or chance of an event happening is commonly believed to be the probability of it happening. In the most basic scenarios, the probability that a specific event 'A' will occur as a result of an experiment is calculated by dividing the number of ways that 'A' can happen by the total number of possible outcomes.
P(A) = Number of events concerning 'A' / Total events in consideration.

Given, the vertices of the rectangle are (0, 0), (4, 0), (4, 1), (0, 1).
On carefully analyzing and plotting the vertices roughly, we get that the given rectangle has a width of 4 units and a height of 1 unit.
Therefore, the area of the given rectangle = Width*Height = 4*1 = 4 units²
Also, it can be assessed that the line x = y passes through the points of the rectangle at (0, 0) and (1, 1).
Thus, the area for which x < y will be an isosceles triangle with side length of 1 units and co-ordinates of vertices as (0, 0), (0, 1) and (1, 1).
The area of the isosceles triangle thus assumed = 0.5 × 1² = 0.5 units²
Probability that x < y is P(E): 0.5/4 = 1/8 = 0.25
Therefore, the probability that x < y is 1/8 or 0.25 .

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PLEASE HELP!!
Solve x^2 – 2x = 15 by applying the quadratic formula.

Answers

Answer:  The correct answer is x=−3 or x=5

Step-by-step explanation:

Solve for x^2−2x=15 using the quadratic equation

Step 1) Subtract 15 from both sides

x2−2x−15=15−15

x2−2x−15=0

For this equation: a=1, b=-2, c=-15

1x2+−2x+−15=0

Step 2) Use quadratic formula with a=1, b=-2, c=-15

x= (−b±√b2−4ac)/2a

x= (−(−2)±√(−2)2−4(1)(−15))/2(1)

x= (2±√64)/2

x=5 or x=−3

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A vehicle purchased for $32500 depreciates at a constant rate of 6%. Determine the approximate value of the vehicle 15 years after purchase.​

Answers

The value of vehicle after 15 years is $12,846.98 when purchased at $32500 and with rate of depreciation 6%.

What is rate of depreciation?

The depreciation rate is the percentage at which an asset depreciates over its anticipated useful life. It can also be described as the portion of an organization's long-term investment in an asset that the organization claims as a tax-deductible expense over the course of the asset's useful life.

Here,

The value of vehicle=$32500

rate of depreciation=6% per year

time period=15 years

The percent value of vehicle=100-6=94%

Therefore to find the value in 15 years we multiply 32500 by 0.94 raised to the 15th power.

The value of vehicle after 15 years=$12,846.98

After 15 years, a vehicle that cost $32,500 and had a 6% depreciation rate is worth $12,846.98.

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Explain c-a, when c = 7 and a=6

Answers

Answer:

1

Step-by-step explanation:

7-6=1

Answer:

c-a

replace x with 7 and a with 6

rewrite: 7-6

7-6 = 1

Answer: 1

Ever since Renata moved to her new home, she's been keeping track of the height of the tree outside her window.
H
HH represents the height of the tree (in centimeters),
t
tt years since Renata moved in.
H
=
210
+
33
t
H=210+33tH, equals, 210, plus, 33, t
How fast does the tree grow?

Answers

The required increasement of height of tree is 33 centimeters annually

What is function of time?

Function of time is defined as the change of abject or expression of variables with time. As the time increases, there is change in shape, height, etc. is called function of time.

According to given data in the question:

we have given an expression of height of tree,

H = 210 + 33t

Where t represent the time and H is height of tree.

So, Changes in the height of the tree with years,

for t = 1 year

⇒ H = 210 + 33×1 = 210 + 33 = 243 centimeters

Thus, the height of tree in increases by 33 centimeters yearly.

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Multiply 2.9x and 5x.

(Multiplying Linear Expressions LC)

14.5x2
7.9x2
14.5x
7.9x

Answers

Multiplication of  2.9x and 5x gives 14.5x²

How to multiply algebraic expressions?

The multiplication of algebraic expressions is a method of multiplying two given expressions consisting of variables and constants

Given: 2.9x and 5x

To multiply 2.9x and 5x, multiply the numbers and multiply the letters:

2.9x × 5x = 2.9 × 5 × x × x = 14.5x²

Therefore,   2.9x multiplied by 5x is 14.5x²

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suppose that 47% of americans are iphone users. (a) if a random sample of 100 americans are surveyed, what is the probability that the proportion of the sample who are iphone users is between 45% and 50%? (b) if a random sample of 50 americans are surveyed, what is the probability that more than 50% of americans are iphone users?

Answers

The probability that the proportion of the sample who are iphone users is between 45% and 50% be 22.87%.

The probability that more than 50% of americans are iphone users be 11.12%.

(a)We know, p = 0.47 and n = 100. First, we should check our conditions for the sampling distribution of the sample proportion.

np = (100)(0.47) = 47 and n(1 - p) = (100)(1 - 0.47) = 53

Since, X will have a sampling distribution that is approximately normal with mean = 0.47

and

standard deviation =  √(0.47)(0.53)/100 ≈ 0.05

P(0.45<X<0.50) = P((0.45 - 0.47)/0.05 < Z < (0.50-0.47)/0.05)

P(0.45<X<0.50)  ≈ 0.2287

Therefore, if the true proportion of Americans who own an iPhone is 47%, then there would be a 22.87% chance that we would see a sample proportion between 45% and 50% when the sample size is 100.

(b) Now, p = 0.47 and n = 50.

np = (50)(0.47) = 23.5 and n(1 - p) = (50)(1 - 0.47) = 26.5

Since, X will have a sampling distribution that is approximately normal with mean = 0.47

and

standard deviation =  √(0.47)(26.5)/50 ≈ 0.25

P(X>0.50) = P(Z > (0.50-0.47)/0.25)

P(X>0.50)  ≈ 0.1112

Therefore, if the true proportion of Americans who own an iPhone is 47%, then there would be a 11.12% chance that we would see a sample proportion more than 50% when the sample size is 50.

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Determine the total number of roots of each polynomial function. f (x) = 3x6 2x5 x4 - 2x3 6 g(x) = 5x - 12x2 3

Answers

The total number of roots for the given polynomial is for f(x)= 3x^6+2x^5+x^4-2x^3+6 is 6  and for g(x) =  5x-12x^2+3 is 2

Since for finding the number of roots, we just  need to see what is the degree fro the given polynomial, where the degree of the polynomial is nothing but the highest exponent.For the function f (x) = 3x6 2x5 x4 - 2x3, here the degree is 6, and the respective function is having 6 numbers of roots, which be real roots and complex roots too.For the function g(x) =  5x-12x^2+3, here the degree is 2, so the respective function has 2 roots.

 

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Answer:

f (x) = 3x6 + 2x5 + x4 - 2x3 = 6 roots g(x) = 5x - 12x2 + 3 = 2 roots f (x) = (3x4 + 1)2 = 8 roots g(x) = (x - 5)2 + 2x3 = 3 roots

help asap!!
Graph this function. f⁡(x)=34⁢x−2

Answers

use desmos graphing calcu

what could be the maximum number of deaths if only 27% of the people in a population of eighteen million is susceptible?

Answers

The maximum number of deaths could be 5840000.

What is susceptible?Being prone to something indicates you are more likely to get sick from it, such as an infection or an earache.Has something ever been given to you that you didn't want? Well, that is probably going to be the case since the word "susceptible" means "likely to be influenced or affected by." If you're easily swayed by flattery, all someone needs to do to get what they want from you is to pay you one or two compliments. Crack-prone materials won't last very long in good condition.

acc to our question-

total popuation= 8000000susceptinlr percentage= 278000000 * 27/10021600008000000 - 21600005840000.

hence,The maximum number of deaths could be 5840000.

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10. Each term in a sequence is generated by
multiplying the previous term by 3 and then
adding 2. If the first term is -3, what will the 6th
term be?
a. -487
b. -165
C. -57
d. 57
e. 165
2

Answers

The 6th term is -487 i.e, option(a)

What is a Sequence ?

A sequence is an ordered list of objects (or events). Like a set, it contains members (also called elements, or terms). The number of ordered elements (possibly infinite) is called the length of the sequence.

There are 4 types of sequence, arithmetic sequences, geometric sequences, quadratic sequences and special sequences.

Given, the 1st term = -3

According to question, we get the term by multiplying the previous term by 3 and then adding 2.

Now, calculate the other terms.

so, the 2nd term will be

-3 * 3 + 2 = -7

3rd term

-7 * 3 + 2 = -19

4th term

-19 * 3 + 2 = - 55

5th term

-55 * 3 + 2 =  -163

6th term

-163 * 3 + 2 = -487

Hence, the 6th term is -487 i.e, option(a)

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I need help like asap !!!

only numbers and decimal points ​

Answers

To find b’s value, we can plug in the formula for Pythagorean Theorem:

a^2 + b^2 = c^2

This turns into:

49 + b^2 = 144

To find the value of b^2, we simply subtract 49 from 144.

144 - 49 = 95, so b^2 = 95

Now to find the square root of 95:

√95 ≈ 9.7

This means b ≈ 9.7.

b ≈ 9.7

mikayla lives 4 miles north and 6 miles west of the pizzeria. will the pizzeria deliver to her home?

Answers

pizzeria will not deliver to mikayla as distance is out of radius.

Coverage location of pizzeria company.

According to question, as the reference with the origin of the circle, it can deliver pizzeria in the radius of 6 miles

According to given data:

mikayla lives 4 miles north and 6 miles west,

So, distance of mikayla from company,

By using Pythagoras theorem

Distance = √(4)^2 + (6)^2 = √52 miles

As distance is greater than radius, pizzeria will not deliver to mikayla.

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