Sum of zeroes of polynomial 2x²-x-3 is ? Full solved answers ✔ No spam ❌​

Answers

Answer 1

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 , then the sum of the roots is

α + β = - [tex]\frac{b}{a}[/tex]

Here 2x² - x - 3 = 0 is in standard form

with a = 2 and b = - 1 , then

sum of roots = - [tex]\frac{-1}{2}[/tex] = [tex]\frac{1}{2}[/tex]


Related Questions

A trapezoid has two basses that measure 11 cm and 8 cm. The height of the figure is 5 cm. What is the area of the trapezoid? A) 95 cm2. B) 64 cm2. C) 47.5 cm2. D) 24 cm2

Answers

Answer:

C.47,5cm²

Step-by-step explanation:

Question 5(Multiple Choice Worth 1 points) (03.03 LC) If a figure has been dilated by a scale factor of 4, which statement explains how a translation can be used to prove the figures are similar using the AA similarity postulate? A translation can map one side onto another since dilations preserve side lengths of triangles. A translation can map one angle onto another since dilations preserve angle measures of triangles. A translation can map the center of a triangle onto another since dilations preserve the location of the center of triangles. A translation can map the vertices of one triangle onto another since dilations preserve the size of triangles.

Answers

Answer:

A translation can map one angle unto another since dilations preserve angle measures of triangles

Step-by-step explanation:

The dilation of the figure by a scale factor of 4 gives an image that is 4 times the size of the original figure. However, the interior angles of the image and the original figure remain the same

A translation is a rigid transformation, such that the image and the preimage of a translation transformation have the same dimensions and angles

A translation of three consecutive non-linear points of the dilated image to the vertex and the two lines joining the corresponding point on the image, translates the angle at the given vertex

The above process can be repeated, to translate a second angle from the image to the preimage, from which it can be shown that the two figures are similar using Angle Angle, AA, similarity postulate

Answer:

A translation because it can map one angle onto another since dilations preserve angle measures of triangles.

Step-by-step explanation:

What is the degree of this polynomial?

5 + 2s

Answers

Answer:  1

=====================================================

Explanation:

We can rewrite 5 as 5s^0, since s^0 = 1 where s is nonzero.

Think of 2s as 2s^1

With those ideas in mind, the original polynomial turns into 5s^0 + 2s^1

Sorting the terms so that the largest exponent is first gets us the standard form 2s^1 + 5s^0

The largest exponent is the degree, so the degree is 1.

Side note: This trick only works for single variable polynomials.

Two large and 1 small pumps can fill a swimming pool in 4 hours. One large and 3 small pumps can also fill the same swimming pool in 4 hours. How many hours will it take 4 large and 4 small pumps to fill the swimming pool.(We assume that all large pumps are similar and all small pumps are also similar.)

if u get this right i will mark brainliest

Answers

Let x and y be the unit rates at which one large pump and one small pump works, respectively.

Two large/one small operate at a unit rate of

(1 pool)/(4 hours) = 0.25 pool/hour

so that

2x + y = 0.25

One large/three small operate at the same rate,

(1 pool)/(4 hours) = 0.25 pool/hour

x + 3y = 0.25

Solve for x and y. We have

y = 0.25 - 2x   ==>   x + 3 (0.25 - 2x) = 0.25

==>   x + 0.75 - 6x = 0.25

==>   5x = 0.5

==>   x = 0.1

==>   y = 0.25 - 2 (0.1) = 0.25 - 0.2 = 0.05

In other words, one large pump alone can fill a 1/10 of a pool in one hour, while one small pump alone can fill 1/20 of a pool in one hour.

Now, if you have four each of the large and small pumps, they will work at a rate of

4x + 4y = 4 (0.1) + 4 (0.05) = 0.6

meaning they can fill 3/5 of a pool in one hour. If it takes time t to fill one pool, we have

(3/5 pool/hour) (t hours) = 1 pool

==>   t = (1 pool) / (3/5 pool/hour) = 5/3 hours

So it would take 5/3 hours, or 100 minutes, for this arrangement of pumps to fill one pool.

Inverse trigonometry functions I need help finding the answers everything I’ve tried says it’s wrong

Answers

Answer:

see below

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hypotenuse

cos x = 13/20

Taking the inverse cos of each side

arccos ( cos x ) = arccos( 13/20)

x = arccos ( 13/20)

x =49.45839

x = 49  to the nearest whole number

sin theta = opp/ hyp

sin y = 13/20

Taking the inverse sin of each side

arcsin ( sin y ) = arcsin( 13/20)

y = arcsin ( 13/20)

y=40.5416

y = 41 to the nearest whole number

A DVD player was marked down by 30 percent from its original price of $75. Including a 7 percent sales tax, what is the final cost of the DVD player?

Answers

The total tax is $1.26

Answer: its going to be 3 dollars and 67 cents

Step-by-step explanation:

757divide 100=to in hours and minutes

Answers

Answer:

Step-by-step explanation:

757 minutes = 12 hours 37 minutes

(08.05, 08.06 MC)
Part A: The area of a square is (16x2 - 8x + 1) square units. Determine the length of each side of th
square by factoring the area expression completely. Show your work. (5 points)

Answers

A=16x²-8x+1

16x²-8x+1=l²

(16x²-4x)-(4x+1)=l²

4x(4x-1)-1(4x-1)=l²

x=1/4 or 1

Therefore

since x=1/4

l²=1/4=>l=>√(1/4)

l=1/2

since x=1

l²=1=>l=>√1

l=1

Therefore the length of each sides

1 or 1/2

|Area of a square field is 617796cm² . Find length of its each side.

Answers

Answer:

length of its each side is 786 cm

Step-by-step explanation:

l² = 617796cm²

l = √617796

l = 786cm

Answer:

[tex]area \: of \: square = {l}^{2} [/tex]

[tex]617796 = {l}^{2} [/tex]

[tex] \sqrt{617796 } = l[/tex]

[tex]786 = l[/tex]

therefore ,l=786cm

ONLY ANSWER IF YOU KNOW, SHOW WORK

Answers

Answer:

hello,

Step-by-step explanation:

[tex]cos(3\theta)+cos(4\theta)\\\\=2*cos(\dfrac{4\theta+3\theta}{2} )*cos(\dfrac{4\theta-3\theta}{2} )\\\\\boxed{=2*cos(\dfrac{7\theta}{2} )*cos(\dfrac{\theta}{2} )}[/tex]

find three points that solve the equation
2y = -3x + 2

Answers

Answer:

x= 0, y=2

x=2, y=-2

x=4, y= -5

Step-by-step explanation:

Given right triangle ABC, what is the value of tan (A)

O 5/13
O 12/13
O 12/5
O 13/12

Answers

Answer:

12/5

Step-by-step explanation:

Recall that trig function tan = opposite / adjacent

Find tan A

Opposite side of angle A = 24

Adjacent of A = 10

Tan (A) = 24/10

24/10 can be simplified to 12/5

Answer:

[tex]\frac{12}{5}[/tex]

Step-by-step explanation:

Tan is equal to [tex]\frac{opposite}{adjacent}[/tex]. The side opposite to angle A is BC while the side adjacent to it is AC. This means tan(A) is [tex]\frac{BC}{AC}[/tex]. It is given that BC is 24 and AC is 10, so we can substitute those values in and simplify:

tan(A) = [tex]\frac{24}{10} = \frac{12}{5}[/tex]

Which form of payment can you lose and NOT get your money back?

Answers

Answer: Tax?

(I'm just here bc I need 20 words to soobmit)

Answer:

its cash

Step-by-step explanation:

Select all that apply to the following statement. There is a LOW correlation between cheating and final grades in Math256. Group of answer choices Correlation requires both variables to be either qualitative or quantitative. The correlation has no unit of measurement; it is just a number. The correlation must specify which is the explanatory variable and which is the response variable Correlation requires both variables to be quantitative

Answers

Answer:

The correlation has no unit of measurement; it is just a number.

Correlation requires both variables to be quantitative.

Step-by-step explanation:

Correlation refers to the measure of the relationship between two variables. The correlation between two variables is measured using the correlation Coefficient which may take any value between - 1 and 1 ; the closer the correlation Coefficient is to either 1 or - 1, the greater the relationship with negative depicting a negative association and positive depicting a positive relationship between the variables. The correlation Coefficient requires that both variables are numeric (quantitative). The correlation Coefficient has no unit of measurement.

Find the area of the shaded region.

Answers

Answer:

pi × 18cm^2

Or approximately,

56.52cm^2 (using 3.14 for pi)

or

56.5487cm^2 (using pi button on calculator)

Step-by-step explanation:

Area of a circle is pi times [radius squared].

All circles are 360°.

Problem can be solved by finding area of whole circle, and then using ratios.

Whole Circle: area = pi × (9cm)^2 = pi × 81cm^2

80° / 360° = Area[shaded] / (pi × 81cm^2)

pi × 18cm^2 = Area[shaded]

((If you read my answer before the edit, I am sorry. I made a calculator error.))

There are 38 chocolates in a box, all identically shaped. There are 8 filled with nuts, 16 with caramel, and 14 are solid chocolate. You randomly select one piece, eat it and then select a second piece. Find the probability of selecting 2 solid chocolate in a row

Answers

Answer:

0.1294

Step-by-step explanation:

Number of chocolates in box = 38

Number of nuts = 8

Number of caramel = 16

Number of solid chocolate = 14

Since 2 are selected in a row and not replaced, then;

Probability of first being solid chocolate = 14/38

Probability of second being solid chocolate after first one = 13/37

Thus;

P(2 selected in a row being solid chocolate) = 14/38 × 13/37 = 0.1294

Could someone please help me?

Answers

Answer:

ab=9 and ac=12

Step-by-step explanation:

Find the area of the figure.

Answers

we observe that this figure could be divided into a triangle and a rectangle.

for the area of the triangle, bxh/2, we have 15 x 12/2 = 90

and for the rectangle, we have 5 x 12 = 60

so, 90 + 60 = 150

hope it helps :)

A carpenter is making a backyard deck. In the measurements, he has determined that he needs to make a support triangle with an area 46m2. He knows that the base must be 1 less than 2 times the height. If the base is represented by 2x-1 and height equals x. Find the equation that correctly shows the area of the triangle.

Answers

Answer:

base = 3x - 1

height = x

area of triangle = (1/2)bh

22 = (1/2)(3x-1)(x)

44 = (3x-1)(x)

44 = 3x^2-x

0 = 3x^2-x-44

0 = 3x^2-12x+11x-44

0 = (3x^2-12x)+(11x-44)

0 = 3x(x-4)+11(x-4)

0 = (x-4)(3x+11)

x = {-11/3, 4}

throw out the negative solution (extraneous) leaving

x = 4 m (height)

.

Base:

3x - 1 = 3(4) - 1 = 12 - 1 = 11 

Step-by-step explanation:

I hope it will help you

PLEASE DO THIS ASAP!
NO LINKS!

Answers

Answer:

x =6

Step-by-step explanation:

5(x-2) = 14+x

Distribute

5x-10 = 14+x

Subtract x from each side

5x-x -10 = 14+x-x

4x-10 = 14

Add 10 to each side

4x-10+10 = 14+10

4x= 24

Divide by 4

4x/4 = 24/4

x =6

Answer:

5(×-2)=14+×

5x-10=14+x

5x-x=14+10

4x=24

x=6

If fx) = 2х2 - 5 and g(x) = 3х+3, find (f-g)(x).
ОА. -Х? - 8
В. 3х - 2x2 - 2
Ос. 2х - 3x-2
OD. 2х2 – 3х – 8

Answers

D:2x²-3x-8

Answer:

Solution given:

f(x)=2x²-5

g(x)=3x+3

now

(f-g) (x)=?

we have

(f-g)(x)=f(x)-g(x)

=2x²-5-(3x+3)=2x²-5-3x-3adding or subtracting common term=2x²-3x-8

Answer:

[tex]2x^{2} - 3x - 8[/tex]

Step-by-step explanation:

Step 1:  Define what (f-g)(x) means

(f-g)(x) means that we have two different functions, f(x) and g(x).  (f-g)(x) is a shorter way of writing f(x) - g(x).  Therefore you just plug in the equations and combine like terms.

Step 2:  Find (f-g)(x)

[tex]f(x) = 2x^{2} - 5[/tex]

[tex]g(x) = 3x + 3[/tex]

[tex](f-g)(x) = 2x^{2} - 5 - (3x + 3)[/tex]

[tex](f-g)(x) = 2x^{2} - 5 - 3x - 3[/tex]

[tex](f-g)(x) = 2x^{2} - 3x - 8[/tex]

Answer:  [tex]2x^{2} - 3x - 8[/tex]

I'm stuck on here, please, someone help me.

Answers

Answer:

Answer B

Step-by-step explanation:

therw is one full one and one with five

Determine whether the statement below is true or false diam is a rhombus

Answers

Answer:

true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

it has all the properties matching with a rhombus

answer from gauthmath

PLS HELP ME ASAP!!!!

Answers

The y row changes by 3 each spot. The x row changed by 4 each spot. So the slope is 3/4x.

helpp me solve it and pls explain

tyyy

Answers

Answer:

2=124  124/2

4=248 248/4

5=310 310/5

8=496 496/8

Step-by-step explanation:

40 + 22 = 62

62 x 2 = 124

62 x 4 = 248

62 x 5 = 310

62 x 8 = 496

i think

What is the nineteenth term of an arithmetic sequence with first term 9 and common difference 5?

Answers

Answer:

The 19th term is 99.

Step-by-step explanation:

We can write a direct formula and use it to find the 19th term. Recall that the direct formula for an arithmetic sequence is given by:

[tex]x_n = a + d(n-1)[/tex]

Where a is the initial term and d is the common difference.

Since the first term is 9 and the common difference is 5:

[tex]\displaystyle x _ n = 9+5(n-1)[/tex]

To find the 19th term, let n = 19. Thus:

[tex]x_{19} = 9+5(19-1)[/tex]

And evaluate:

[tex]\displaystyle \begin{aligned} x_{19} &= 9+5(18) \\ &= 9+90 \\ &= 99\end{aligned}[/tex]

The 19th term is 99.

A group of rowdy teenagers near a wind turbine decide to place a pair of
pink shorts on the tip of one blade. They notice that the shorts are at its
maximum height of 16 metres at t = 10 s and its minimum height of 2 metres at
t = 25 s.

a) Determine the equation of the sinusoidal function that describes
the height of the shorts in terms of time.

b) Determine the height of the shorts at exactly t = 10 minutes, to
the nearest tenth of a metre.

Answers

Answer:

a) Sinusoidal functions are y = a sin [b(x-h)] + k    (or)                                        

y = a cos [b(x-h)] + k

Where a is amplitude a= (max-min)/2=(16-2)/2=7

period p= 2π/b

            b=2π/30

            Horizontal transformation to 10 units right h=10

            k= (max+min)/2=(16+2)/2=9

h = 7 cos [π/15(t-10)]+ 9

b) t=10min=600 sec

substitue in the above equation

h=5.5m

make g the subject 4m+2g=p​

Answers

Answer:

g = (p - 4m)/2

Step-by-step explanation:

Make g the subject means solve for g:

4m + 2g = p2g = p - 4mg = (p - 4m)/2

There are 35 times as many students at Wow University as teachers. When all the students and teachers are seated in the 8544 seat auditorium, 12 seats are empty. How many students attend Wow University.


A. 237

B. 249

C. 8295

D. 8124

Answers

Answer:

C. 8296

Step-by-step explanation:

Answer:

c.8295

Step-by-step explanation:

8544-12 = 8532

8532-237 =8295

Which of these triangle pairs can be mapped to each other using a single translation?

Answers

It would be the first pair of triangles because it can perform a counterclockwise rotation. Hope this helps, it’s pretty trippy.
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