| Find the quadratic polynomial whose
Sum and products of zeros are 21/8 and 5/16

Answers

Answer 1

Answer:

[tex]16x^{2} -42x+5[/tex]

Step-by-step explanation:

Sum of its zeroes=[tex]\alpha +\beta =\frac{21}{8} \\[/tex]

Product of its zeroes=[tex]\alpha \beta[/tex]=[tex]\frac{5}{16}[/tex]

Formula to form a quadratic polynomial:

[tex]p(x)=k[x^{2} -(\alpha +\beta )x+\alpha \beta ][/tex]

p(x)=[tex]k[x^{2} -(\frac{21}{8} )x+\frac{5}{16}][/tex]

p(x)=[tex]16[x^{2} -(\frac{21}{8} )x+\frac{5}{16}][/tex]

p(x)=[tex][16x^{2} -42x+5][/tex]

The quadratic polyniomial is [tex]16x^{2}-42x+5[/tex]


Related Questions

you need 3 sticks of butter for every 24 cookies how many cookies can you bake with 5 sticks of butter?

Answers

Answer:

40

Step-by-step explanation:

The first box is 2--> 16*3 divided by 24= 2

Second box is 40--> 5*24 divided by 3= 40

Hope it helps.

Which expression converts 100 inches per minute to feet per minute?


Answers

Answer:

C 100 inches/ minute * 1 ft/ 12 inches

Step-by-step explanation:

100 inches/ minute

We need to convert inches to ft

12 inches = 1 ft

100 inches/ minute * 1 ft/ 12 inches

What is the probability of the complement of rolling a number less than 5 by using a six sided dye

Answers

Answer:

2/3

Step-by-step explanation:

Less than 5 is 1,2,3,4 and 4 out of 6 is also equal to 2/3

Find the marked angle P​

Answers

Answer:

the answer is (d) 57°

Step-by-step explanation:

since it's a straight angle it equals to 180°

you divide 180° from 123°

Simplify 4 to the 2nd power times 4 to the eighth power 

A. 4 to the 16th power
B. 4 to the 10 power
C. 16 to the 16 power
D. 16 to the 10 power

Please help ASAP!!!!!!!!

Answers

Answer:

4 to the power of 10.

Step-by-step explanation:

A rule is that x to the power of y + x to the power z of must equal x to the power of z+y.

Answer:

Option B

Step-by-step explanation:

4²×4^8

4^(2+8)

4^10

4 to the 10th power

The Three Stooges are having a pie eating contest. In 3 hours, Moe can eat 36 pies, Larry can eat 30, and Curly can eat 60. How many hours does it take them to eat 126 pies?

Answers

Answer:

3 hours

the information states in 3 hours they eat 36+30+60 = 126 pies.

Answer:

Altogether, the three stooges will consume 126 pies in three hours.

Step-by-step explanation:

1. In one hour, the three stooges can eat their total divided by three: Moe can eat 12 in one hour, Larry can eat 10 in one hour, and Curly can eat 20 in one hour. Therefore, the three stooges can eat 42 pies in one hour altogether. So, we have the equation 126 = 42h where h = the number of hours. Solving for 126 gives us 126/42 = h. h = 3. The three stooges can eat 126 pies in three hours.

According to the number line, which statement MUST be true? A) A > 1 B) B > 4 C) C < 4 D) D < 0

Answers

Answer:

C) C < 4

Step-bay-step explanation:

> means "greather than"

< means "less than"

The only statement that is true:

C) C< 4

Please answer it now in two minutes

Answers

Answer:

x = 84

Step-by-step explanation:

∠ UWV is an angle in a semicircle and is right = 90°

VW = UW  thus Δ UVW is right isosceles, thus

∠ UVW = ∠ WUV = 45° ( sum of angles in triangle ) , thus

x - 39 = 45 ( add 39 to both sides )

x = 84

Which number is in the 3rd position after ordering in
descending order. V220,-10, V100, 11.5

Answers

Answer:

√100

Step-by-step explanation:

Given the following numbers: √220, -10, √100, 11.5,

Let's arrange the numbers from the largest to the smallest (in descending order).

Note: √220 ≈ 14.8

√100 = 10

From the largest to the smallest number, we have: √220, 11.5, √100, -10

Therefore, the number in the third position is √100

A farm yard contains some pigs and some chickens. Altogether there are 60 heads and 200 legs. How many pigs are there in the yard?

Answers

Answer:

40 pigs.

Step-by-step explanation:

p=pigs c=chickens.

4p=pigs have 4 legs.

2c=chickens have 2 legs.

4p+2c=200

p+c=60

Do the elimination method:

4p+2c=200

(-4)p+c=60

4p+2c=200

-4p-4c=-240

-2c=-40

c=20

p+20=60

p=60-20

p=40

Hope this helps!

BRAINLIEST would help me a lot:)

Find the measure of KM¯¯¯¯¯¯¯¯¯¯.

Answers

Answer:

12

Step-by-step explanation:

(whole secant) x (external part) =    (whole secant) x (external part)

( 7+x+2) * 7 = ( 6+8) * 6

Combine like terms

(9+x) *7 = 14*6

Distribute

63 +7x = 84

Subtract 63

63 +7x -63 = 84-63

7x =21

Divide by 7

7x/7 = 21/7

x = 3

KM = x+2+7

      = 3+2+7

      =12

Answer:

[tex]\huge\boxed{KM = 11}[/tex]

Step-by-step explanation:

According to secant - secant theorem:

(MK)(ML) = (MR)(MN)

Where

MK = 7 + x+ 2 = x + 9

ML = 7

MR = 8 + 6 = 14

MN = 6

=> (x+9)(7)= (14)(6)

=> 7x + 63 = 84

Subtracting both sides by 63

=> 7x = 84 - 63

=> 7x = 21

Dividing both sides by 7

=> x = 3

Now,

KM = x + 9

KM = 3 + 9

KM = 11

need help with my hw make H the subject of the formula x = 5h + 8

Answers

Answer:

h = (x - 8)/5

Step-by-step explanation:

Step 1: Write out expression

x = 5h + 8

Step 2: Isolate variable h (Subtract 8 on both sides)

x - 8 = 5h

Step 3: Isolate h (Divide both sides by 5)

(x - 8)/5 = h

Step 4: Rewrite

h = (x - 8)/5

In the Rhombus, m<3=80. Find m<2

160
80
50
40

Answers

Answer: C. 50

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

Explanation:

The diagonal cuts the rhombus into two congruent isosceles triangles. We know they are isosceles because the non-diagonal sides are equal in length (since all four sides of a rhombus are the same length).

Let x be the measure of angle 1. This is one base angle. The other base angle is also x as well. The third angle of the bottom triangle is angle 3, which is given to us at 80 degrees. For any triangle the three angles always add to 180.

x+x+80 = 180

2x+80 = 180

2x = 180-80

2x = 100

x = 100/2

x = 50

Angle 1 is therefore 50 degrees.

Angle 2 is also 50 degrees because angles 1 and 2 are congruent alternate interior angles. Any rhombus is a parallelogram (but not the other way around) so the top and bottom lines of the rhombus are parallel, allowing the alternate interior angles to be congruent.

Answer:

m<2 = m<1 = 50°

Step-by-step explanation:

In a Rhombus, Diagonals intersect at 90° as well bisect angles.

Therefore, in a triangle formed by <1, 90° at the diagonal intersection and angle bisection of <3 = 40°.

m<1 = m<2 = 50°

hi, please help me :)

Answers

Answer:

D. Linear

The answer is negative linear, because when it incresing from 0 to 1 to 2 to 3 (year) it always deacreasing in the value($).

Which point on the number line best represents√57?

Answers

Answer:

8.

Step-by-step explanation:

[tex]\sqrt{57} =\sqrt{3 * 19}[/tex]

Since this cannot be further simplified, we will calculate the square root of 57 with our calculators.

We find that the square root of 57 is 7.549834435, and since the tenths place is a 5, we will round up to the next whole number. So, the point on the number line that best represents the square root of 57 is 8.

Hope this helps!

Find the slope of (3,-20), (5,8)

Answers

Answer:

14

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

    = ( 8 - -20)/(5 -3)

   = (8+20)/ (2)

   28/2

    14

Answer:

14!!!

Step-by-step explanation:

Plug the numbers into the slope formula to find the output.

y2-y1/x2-x1

What is the area of this figure?
9 mi
5 mi
8 mi
6 mi
3 mi
3 mi

Answers

Answer:

54 square miles

Step-by-step explanation:

The easiest thing to do is to separate the figure into one 5x9 rectangle and one 3x3 square. The rectangle area is 5x9=45 square miles and the square is 3x3=9 square miles. So total is 45+9=54 square miles.

Lilianna uses \dfrac{3}{4} 4 3 ​ start fraction, 3, divided by, 4, end fraction calories per minute just by sitting. She uses 111 more calorie per minute by walking. Lilianna uses a total of 12\dfrac{1}{4}12 4 1 ​ 12, start fraction, 1, divided by, 4, end fraction calories walking to the park. Lilianna uses the equation, d\left(\dfrac{3}{4}+1\right)=12\dfrac{1}{4}d( 4 3 ​ +1)=12 4 1 ​ d, left parenthesis, start fraction, 3, divided by, 4, end fraction, plus, 1, right parenthesis, equals, 12, start fraction, 1, divided by, 4, end fraction to represent the situation. What does the variable ddd represent in the equation? Choose 1 answer: Choose 1 answer: (Choice A) A Calories per minute Lilianna uses walking (Choice B) B Number of calories Lilianna would have used sitting (Choice C) C Number of minutes Lilianna walked

Answers

The Variable d in the equation represents the time per minute Lilianna spends walking to the park

Variable

Calories used by sitting = 3/4Calories used by walking = 1Total calories used walking to the park = 12 1/4

The equation:

d(3/4 + 1) = 12 1/4

d(3+4/4) = 12 1/4

d(7/4) = 49/4

d = 49/4 ÷ 7/4

= 49/4 × 4/7

= 49/7

d = 7

Complete question:

Lilianna uses 3/4 calories per minute just by sitting. She uses 1 more calorie per minute by walking. Liliana uses a total of 12 1/4 calories walking to the park. Lilianna uses the equation, d(3/4+1)=12 1/4 to represent the situation. What does the variable d represent in the equation?

Learn more about variable:

https://brainly.com/question/11885867

#SPJ1

If you invest $600 at 5% interest compounded cptinuously, how much would you make after 6 years?

Answers

Answer:

180

Step-by-step explanation:

1) 600 % 100 = 6 (to get 1% of 600)

2) 6 x 5 = 30 (to get 5% pf 600)

3) 30 x 6 =180 (to get the amount of profit per the 6 years)

please give brainliest if this helps

im not that good at maths but i can solve some stuff but some i just have no clue help 5x - 11 =3 [ x - 9]

Answers

Answer:

if im understanding right the answer should be x = -1

Step-by-step explanation:

5x - 11 = 3x - 9

subtract 3x

2x -11 = -9

add 11

2x = -2

divide by 2

x = -1

Can someone pls help and explain it

Answers

Answer:

(7,-4) ; 12

Step-by-step explanation:

Basically, three corners of a rectangle are already on the graph. If you put a dot at (7,-4), that is the last corner(vertex) that finishes the rectangle

Then to find base of the rectangle, you find the length of the longer side, (the distance between the x coordinates). So you would subtract -5 from 7 and get 12, and 12 is the length of your base.

You check 20 batteries.Fourteen of the batteries do not have a charge. What is the experimental probability that the next battery you check does not have a charge?

Answers

Answer:

[tex]\dfrac{7}{10}[/tex]

Step-by-step explanation:

Given that

Number of batteries that do not have a charge = 14

Total number of batteries = 20

To find:

Experimental probability that the next battery checked does not have a charge = ?

Solution:

First of all, let us learn about the definition of experimental probability.

Probability is the chances of happening of an event.

Formula for probability of happening of an event E is given as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

Here we have to find the probability of checking a battery that has no charge.

So, number of favorable cases = Number of batteries that do not have a charge = 14

AND

Total Number of cases = Total number of batteries to be checked = 20

So, the required probability is:

[tex]\dfrac{14}{20} = \bold{\dfrac{7}{10}}[/tex]

Find the area of the shaded region​

Answers

Answer:

5x^2 +24x +1

Step-by-step explanation:

First you'll want to find the area of the larger rectangle, and then you'll subtract the area of the smaller rectangle (which is not shaded) to get your answer.

Larger Rectangle:

A = length * width

A = (2x + 3)(4x - 5) = (8x^2 - 10x + 12x - 15) = 8x^2 + 2x - 15

Smaller Rectangle:

A = length * width

A = (x - 8)(3x + 2) = (3x^2 + 2x - 24x - 16) = 3x^2 - 22x - 16

Larger Rectangle minus Smaller Rectangle:

(8x^2 + 2x - 15) - (3x^2 - 22x - 16)

5x^2 +24x +1

A line passes through the point (4,8) and has a slope of -3/2

Write an equation in Ax+By=C

Answers

Answer:

The answer is

3x + 2y = 28

Step-by-step explanation:

To find an equation of the line using a point and the slope we use the formula

y - y1 = m(x - x1)

where

m is the slope

(x1 , y1) is the point

From the question

slope = -3/2

Point = (4,8)

So the equation of the line is

[tex]y - 8 = - \frac{3}{2} (x - 4)[/tex]

Multiply through by 2

2y - 16 = -3( x - 4)

2y - 16 = - 3x + 12

3x + 2y = 16 + 12

We have the final answer as

3x + 2y = 28

Hope this helps you

372 to the nearest 100

Answers

Answer: 400

Explanation: To round 372 to the nearest hundred, we first find the digit in the rounding place which in this case is the 3 in the hundreds place.

To decide whether to round up or down, we look

at the digit to the right of the 3, which is 7.

According to the rules of rounding, if the digit to the right of the

rounding place is greater than or equal to 5, we round up.

So in this problem, since 7 is greater than or equal to 5, we round up.

This means that we add 1 to the 3 in the rounding place

to get 4 and all digits to the right of 4 become 0.

So 372 rounded to the nearest hundred is 400.

Briefly explain how you would graph an equation such as y=7x-2

Answers

Answer:

put a mark at negative 2 on the graph then you would go up seven rigght one until you cant then you would go back to -2 and go down seven left one until you cant

Step-by-step explanation:

16. Expand (2x - 1)(x - 3).
A. 2x2 - 7X+3 B. 2x2 +7x+3
C. 2x2-7X-3 D. 2x2+7X-3 E. x2+7X-3​

Answers

Answer:

Hey there!

[tex](2x-1)(x-3)[/tex]

[tex]2x^2-1x-6x+3[/tex]

[tex]2x^2-7x+3[/tex]

Hope this helps :)

Answer:

see below

Step-by-step explanation:

the simple answer is a if you need an explanation just comment

Please answer this question now

Answers

Answer:

117°

Step-by-step explanation:

Arc ABC (AB + BC) is intercepted by angle D.

Therefore, Arc ABC is 2 × m<D. (Inscribed Angle Theorem)

AB = 91°

m<D = 104°

Let BC = x

Arc ABC = (91° + x)

Thus,

91° + x = 2 × 104°

Solve for x

91 + x = 208

Subtract 91 from both sides

91 + x - 91 = 208 - 91

x = 117

Measure of arc BC = 117°

How many solutions are there for the absolute value equation, |16 + t| = – 3

Answers

Answer:

no solutions

Step-by-step explanation:

|16 + t| = – 3

Absolute values are greater than or equal to zero

They cannot be negative so there are no solutions

Answer:

no solutions

Step-by-step explanation:

|16 + t| = – 3

Absolute values are greater than or equal to zero

They cannot be negative so there are no solutions

If you vertically compress the linear perent function, F(x) = x, by multiplying by 1\2

what is the equation of the new function?

Answers

Answer: [tex]y=\dfrac12 x[/tex] .

Step-by-step explanation:

We know that [tex]a f (x)[/tex]  compresses f(x) vertically such that

if 0 < a < 1 (a fraction), the graph is compressed vertically by a factor of a units.if a > 1, the graph is stretched vertically by a factor of a units.

If we vertically compress the linear parent function, F(x) = x, by multiplying by [tex]\dfrac12[/tex].

Then, the equation of the new function is [tex]y=\dfrac12 F(x)=\dfrac12 x[/tex] .

i.e. [tex]y=\dfrac12 x[/tex] .

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