Find the value of the polynomial 5x – 4x^2 + 3 at x = 2 and x = –1​

Answers

Answer 1

Answer:

Let the polynomial be f(x) = 5x – 4x^2 + 3

Now, for x = 2,

f(2) = 5(2) – 4(2)^2 + 3

=> f(2) = 10 – 16 + 3 = –3

Or, the value of the polynomial 5x – 4x^2 + 3 at x = 2 is -3.

Similarly, for x = –1,

f(–1) = 5(–1) – 4(–1^)2 + 3

=> f(–1) = –5 –4 + 3 = -6

The value of the polynomial 5x – 4x2 + 3 at x = -1 is -6.

Answered by GAUTHMATH

Answer 2

Answer:

x=2 => 5×2 - 4×2² + 3 = 10-16+3 = -3

x=-1 => 5×-1 - 4×(-1)² + 3 = -5 - 4 + 3 = -6

Step-by-step explanation:

is in the answer.

remember that squaring a negative number creates a positive result.


Related Questions

- 6 x 8 - (4)² - (-72)

Answers

Answer:

[tex] - 6 \times 8 - {4}^{2} - ( - 72) \\ 48 - {4}^{2} - ( - 72) \\ 48 - 16 - ( - 72) \\ 48 - 16 + 72 \\ = 104[/tex]

Write your answer as a polynomial or a rational fraction in simplest form ​

Answers

Answer:

- 4x^2-15x

Step-by-step explanation:

(f-g)(x) = f(x) - g(x) = - 3x^2-8x-x^2-7x = - 4x^2-15x

Find the length of side xx in simplest radical form with a rational denominator.

Answers

Answer:

x = 3sqrt(2)/2

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

The two legs are equal, x

x^2 + x^2 = 3^2

2x^2 = 9

Divide each side by 2

x^2 = 9/2

Take the square root of each side

sqrt(x^2) = sqrt(9/2)

x = sqrt(9)/ sqrt(2)

x = 3 / sqrt(2)

x = 3 sqrt(2) / sqrt(2)*sqrt(2)

x = 3sqrt(2)/2

Answer:

Step-by-step explanation:

The Pythagorean triple for a 45-45-90 triangle, which this is BTW is, in terms of the pattern: (x, x, x√2) where each x is the length of a side across from a 45 degree angle and x√2 is the side length across from the 90 degree angle (this side is also known as the hypotenuse). If the hypotenuse is 3 units long, and the pattern for the hypotenuse is x√2, we can solve for x, the sides across from the 45 degree angles, by setting 3 equal to its pattern for the hypotenuse:

[tex]3=x\sqrt{2}[/tex] so

[tex]x=\frac{3}{\sqrt{2} }= \frac{3\sqrt{2} }{2}[/tex]

which of the answers is correct

Answers

Answer:

Option C, sin Y = 38/63

Step-by-step explanation:

sin Y = Opposite/Hypotenuse

sin Y = 38/63

Answered by GAUTHMATH

The price of a litre of milk increased from $1.25 in 2004 to $1.35 in 2006. What is the average price increase per year?

Answers

Answer:

$0.05/year

Step-by-step explanation:

Number of years:

2006 - 2004 = 2

From 2004 to 2006 it's 2 years.

Difference in prices:

$1.35 - $1.25 = $0.10

Average change of price per year:

$0.10 / 2 years = $0.05/year

1. 108 identical books have a mass of 30 kg. Find
(i) the mass of 150 such books
(ii) the number of such books that have a mass of 20 kg

Answers

Answer:

i) around 41.7 kg

ii) 72 books

Step-by-step explanation:

i) if 108 books are 30 kg then how much is the mass for 150? You cross multiply so 150 multiply by 30 and 108 multiply by x (the unknown mass). you will get 4500=108x and then 4500/108 is the unknown mass.

ii) use the same way as above.

A shopkeeper marks the price of an article 25% above the cost price. Then he allows a discount of 10% of the marked price. Find the profit percentage.​

Answers

here is your answer hope you will understand it

Find the input (x) of the function y=5x-3 if the output (y) is 32

Answers

Answer:

x = 7

Step-by-step explanation:

Given

y = 5x - 3 ← equate 5x - 3 to 32

5x - 3 = 32 ( add 3 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7 ← input

Answer:

x=7

Step-by-step explanation:

y=5x-3

y = 32

32 = 5x- 3

Add 3 to each side

32+3 = 5x-3+3

35 = 5x

Divide by 5

35/5 = 5x/5

7 =x

A spherical ball has a radius of 4 inches. What is the volume of this sphere, to the
nearest cubic inch.

Answers

Answer:

V = 267.9 in^3

Step-by-step explanation:

V = 4/3 * (pi) * r^3

V = 4/3 * 3.14 * 4^3

V = 4/3 * 3.14 * 64

V = 256/3 * 3.14

V = 803.84/3

anyone know the mean median and mode for this?
with work show pls

Answers

Both are two line them up least to greatest and 2 is in the middle. Two shows up the most meaning it’s the mode.

Answer:

just apply d formular 4 each

lykfor the mean=£fx/£f...which x is the inches and f is the frequency...multiply both from 63 to 75 inches e.g 63×2=126, 65×1=65...then add the scores together.... then divide it by the summation of the frequency which is 2+1+4+3+1+2+2+2+1+3+2+2=23. note am applying this method based on the formular

for median=£f/2 since it's odd number add +1

=£f+1/2

=23+1/2

=24/2

=12 .the 12 would fall on 69 inches using the cumulative method

mode is 66 since it's the number with the highest frequency

91. Jack can read 45 pages of his book in one and a
half hours. At that rate, how long will it take him to
read the entire 300-page book?

Answers

Answer:

10 hours

Step-by-step explanation:

45 pages per 1 hour and 30 minutes,  or 60 min +30 min =90 min

90 minutes / 45 pages has to be equal to an equivalent fraction where we have 300 pages

90 minutes /45 pages = ? minutes / 300 pages , multiply both sides by 300

? minutes = 90*300/45 = 600 minutes

to read 300-page book will take 600 minutes = 10 hours

Pythagorean Theorem
The diagram shows square 1, 2, and constructed on the sides of right
triangle
3
1 2
Which statement about the squares must be true?

Answers

Option A

We can prove this by a example

Take a pythagorean triplet 3, 4, 5

Now 5 is the hypotenuse

Area 1 = 3^2

= 9

Area 2 = 4^2

=16

Area 3 = 5^2

=25

So 9 + 16 = 5

25 = 25

Therefore its option A

Answered by Gauthmath must click thanks and mark brainliest

The correct relation between these rectangle is (Area of 1) + (Area of 2) = (Area of 3)

What is Area?

The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

From the general formula of the area of the square,

Area of 1 = (side of 1st)²

Area of 2 = (side of 2nd)²

Area of 3 = (side of 3rd)²

From the Pythagorean theorem in the given triangle,

(side of 2nd)²+(side of 1st)² = (side of 3rd)²

Thus,

(Area of 1) + (Area of 2) = (Area of 3)

Learn more about Area here:

https://brainly.com/question/27683633

#SPJ7

John needs to rewrite the expression (4x3y5z)2. Identify which of the following is the simplified form of the expression.
A
4x5y7z3

B
4x6y10z

C
8x5y7z3

D
16x6y10z2

Answers

D [tex]\bold{16x^{6}y^{10}z²}[/tex]

Answer:

John needs to rewrite the expression [tex](4x^{3}y^{5}z)²[/tex]. Identify which of the following is the simplified form of the expression.

[tex](4x^{3}y^{5}z)²[/tex]

remenber that square is for all

and power is multiplied

[tex]4²x^{3*2}y^{5*2}*z²[/tex]

[tex]16x^{6}y^{10}z²[/tex]

Step-by-step explanation:

[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol{Rule: (a^n)^m=a^{n\cdot m }} \\\\\\ (4x^3\cdot y^5\cdot z)^2=4^2\cdot x^{3\cdot 2}\cdot y^{5\cdot 2}\cdot z^2=16 \ x^6 \cdot y^{10} \cdot z^2 \\\\\\ Answer : \boxed{ D)16 \ x^6 \cdot y^{10} \cdot z^2 }[/tex]

the train regularly travels 135 miles in 60 minutes.

What is the speed, in miles per minute, on this portion of the route?

Answers

Answer:

2.25 miles per minute

Step-by-step explanation:

Speed = Distance/Time

135/60

2.25 miles per minute

Answer from Gauthmath

In New York, an Uber costs $15 plus $1.84 per mile. If you are traveling from the airport, there is an additional charge of $7.95 for tolls.
How far can you travel from the airport by Uber for $45.84?

a.14 miles
b.10 miles
c.12 miles
d.23 miles

Answers

Answer: C; 12 miles

Solution:

1) Add the initial Uber cost ($15) and airport toll charge:

$22.95

2) Subtract 22.95 from 45.84

$22.89 to spend on miles

3) Divide 1.84 (cost per mile) from 22.89

≈ 12.44 miles

Round down to 12 miles or option C

Which of the choices below could be a scientific problem?
a. Tomato plants require 8 hours of direct sunlight to thrive.
b. Plant a tomato seedling 6 inches deep a large pot.
C. If tomato plants receive 4 hours of direct sunlight, then they will thrive.
d. How much sunlight do tomato plants need to thrive?

Answers

Answer:

D. How much sunlight do tomato plants need to thrive?

Step-by-step explanation:

if a 27% is a sale profit , how much profit is in the sale of $4650?

pls explain if u can. thanks!!​

Answers

The answer should be $1,255.50
4,650 x . 27 = 1255.5
Answer $1,255.50

What is the radius of a sphere with a surface area of 100πcm2?

Answers

Answer:

5cm

Step-by-step explanation:

A=4πr2 =  100πcm2

r = 5

SOMEONE HELP ME PLS

Answers

Answer:

as both triangles are congruent......

AB = PQ

BC = QR

CA = RP

So AB = PA so... 2x + 1 = x + 7

so x = 7 - 1 = 6

now BC = QR so.... 4y + 3 = 2y + 11

so 2y= 8 and y= 4

brainliest plssssss

The entrance fee to a local waterpark is $34 per person. At the waterpark, you can rent a raft for $1.50 per hour. Which expression is equivalent to the amount it would cost Leah for h hours in the park if she rented a raft?

Answers

Answer:

Step-by-step explanation:

The choices aren't given. Be careful to give choices if the question says there are choices. It makes answering kind of iffy.

C = 34 + 1.5*h     where h is the number of hours Leah was in the park.

Simplify

Help me please

Answers

Answer:

[tex]\frac{-27b^{6}}{c^{18}}[/tex]

Step-by-step explanation:

first distribute the ^3, -3^3=-27, for the variables, (x^y)^3=x^(3y) so (b^2)^3=b^6 and (c^-6)^3=c^-18. now we have [tex]-27b^{6}c^{-18}[/tex]. Next we have to get rid of the negative in c^-18. x^-y=1/x^y so c^-18=[tex]\frac{1}{c^{18}}[/tex], plug it in and you get [tex]\frac{-27b^{6}}{c^{18}}[/tex]

Planes T and X are parallel. Plane T contains line a. Plane X contains line b. Planes T and X are parallel. Plane T contains line a and plane X contains line b. Which best explains the relationship between lines a and b? They are skew and will never intersect. They are parallel and will never intersect. They are perpendicular and will intersect. They will intersect at two points.

Answers

Answer:

The answer is "They are skew and will never intersect".

Step-by-step explanation:

Please find the graph file in the attachment.

In the given scenario, since the two lines are neither parallel nor intersect, these are skewed. Each line will be in a parallel plane, therefore prevents them from crossing each other. Parallel indicates traveling in the same direction, but not converging or diverging.

Answer:

A or ,They are skew and will never intersect.

Step-by-step explanation:

edge 2021

Please explain on how to do this.

Answers

Answer:

2.8 * 1.4 = 3.92.

Hope this answer helps you. Thank you.

Answer:

hope it helps you.........

Determine whether the two triangles are similar.

Answers

Answer:

The Second One

Step-by-step explanation:

It Shows Side Lengths, and the angles for LOM and PON connect at O.

That means they share a similar angle, and between the angle are Sides.

SAS. (Side-Angle-Side)

(I'm not really good at math so i'm sorry if its wrong!)

Look at the expressions below.
2√8 x √20
Which of these is equivalent to this expression?
A. 2√28
B. 5
C. 8√10
D. 32√10

Answers

Answer:

8 sqrt(10)

Step-by-step explanation:

2 sqrt(8) * sqrt(20)

We know sqrt(a) * sqrt(b) = sqrt(ab)

2 sqrt(8) * sqrt(20)

2 sqrt(160)

2 sqrt(16*10)

2 sqrt(16) sqrt(10)

2 *4 sqrt(10)

8 sqrt(10)

Answer:

First, we can write 2√8 as 2 x √8. This will make the next calculations easier.

So the problem becomes 2 x √8 x √20.  

We can group together √8 and √20, to get √160.

And we have: 2√160.

However, this can be simplified further, as 16x10 = 160, and so we obtain the  final answer of 8√10.

C is correct.

if f(x) = 2x²+2x-1, g(x) = x²+5x+2 f(x)=g(x), find the value of x​

Answers

Answer:

Possible Answers: –5. –21. 7. –1

Answer:

just put the values and simpilyfy it untill you get the value of X

hence, the value of X is either 3 or, -1

the scale of a map is 1cm to 12km what is the distance on land if the length from town A to town B on the map is 15cm​

Answers

Answer:

180 km

Step-by-step explanation:

1 cm=12 km

15 cm=12×15=180 km

Make a box-and-whisker plot for the data. What is the lower quartile value?
56 32 48 52 51 53 48 38 35 42 40 46 54 50

Answers

I think the answer is 42

CAN SOMEONE TELL ME WHT DID I DO WRONG ASAP THANK YOU!!!​

Answers

The final step. You divided wrong.

8 = 400 / 120  = 10/3

Step-by-step explanation:

The final step. You divided wrong.

[tex] s = \frac{400}{120} = \frac{10}{3} [/tex]

BRAINLEST IF CORRECT!!!!

Answers

x + 133 = 180

x = 180 - 133 (Linear Pair)

x = 47

Therefore x° = 47°

Answered by Gauthmath must click thanks and mark brainliest

Answer:

47

Step-by-step explanation:

reason: Being sum of supplement angle

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