-3 and -1/2 form quadratic polynomial​

Answers

Answer 1

Answer:

2x² + 7x + 3 = 0

Step-by-step explanation:

[tex]\sf \text{Sum = -3 + $(\dfrac{-1}{2})$}[/tex]

                    [tex]\sf = \dfrac{-3*2}{1*2}-\dfrac{1}{2}\\\\=\dfrac{-6}{2}-\dfrac{-1}{2}\\\\=\dfrac{-7}{2}[/tex]

[tex]\sf \text{Product =$-3*\dfrac{-1}{2}$}[/tex]

                         [tex]= \dfrac{3}{2}[/tex]

Quadratic polynomial:

[tex]\boxed{x^{2}-sum *x+product = 0}[/tex]

[tex]x^{2}- \left(\dfrac{-7}{2}\right)x+\dfrac{3}{2}=0\\\\x^{2} + \left(\dfrac{7}{2}\right)x+\dfrac{3}{2}=0\\[/tex]

Multiply the entire equation by 2

[tex]2*x^{2} + 2*\dfrac{7}{2}x +2*\dfrac{3}{2}=0[/tex]

2x² + 7x + 3 = 0


Related Questions

When it is 11:30 a.m. in dublin, it is 2:30 p.m. in moscow. how far ahead of dublin is moscow? a. 3 hours b. 5 hours c. 9 hours d. 15 hours

Answers

answer is a. 3 hours



Add an hour to 11:30 a.m. to get 12:30 p.m.
Add an hour to 12:30 p.m. to get 1:30 p.m.
Add an hour to 1:30 p.m. to get 2:30 p.m.
Answer: Moscow is 3 hours ahead of Dublin

The area of the rectangle below is greater than or equal to 18.13 square units. The inequality 3.7w ≥ 18.13 represents this
situation?

Answers

w>4.9 (NOTE: The greater than sign is supposed to be greater than OR equal to)

You can rewrite the inequality like this because you can simplify the equation to get rid of the 3.7. You do this by dividing both sides of the expression by 3.7, since that’s what the w is being multiplied by.

Hope this helps!

please help me. I would like an answer for this.

Answers

Answer:

Step-by-step explanation:

so cross divide so 5 and 2

Answer: it equals as a fraction 41/5 as a decimal equals 8.2

Step-by-step explanation: hope I helped you . Please give brainliest . Thanks .

Find the slope-intercept equation of the line
that passes through (4, -2) and has a slope of
-3.
a
-

Answers

Answer:

y = -3x + 10

Step-by-step explanation:

We write The slope-intercept equation of a line D Like this

D : y = mx+b    (where m is the slope and p is the y-intercept)

__________________________

According to the given information:

The slope = -3

Then ,the equation of our line is : y = -3x + p

Now we need to find p:

Since The point (4, -2) lie on the line

then

-2 = -3(4) + p

then

-2 = -12 + p

then

p = 12 - 2 = 10

Conclusion:

y = -3x + 10

If f(x) = |x| 9 and g(x) = –6, which describes the range of (f g)(x)?

Answers

The range of the functions f(x) = |x| 9 and g(x) = –6 then (f+g)(x) will be equal  to (f+g)(x)[tex]\geq[/tex]3 for all the values of x.

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

It is given that

[tex]f(x)=|x|+9[/tex]

[tex]g(x)=-6[/tex]

So now

[tex](f+g)(x)=|x|+9-6=|x|+5[/tex]

So from the above equation, we can see that (f+g)(x) describes the range  (f+g)(x)[tex]\geq[/tex]3

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Answers 76:

Step-by-step explanation:

What is y=3/4x-2 I need help ASAP please

Answers

Answer: [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

The equation is in the slope-intercept format of y=mx+b

In this format the slope is m

In this case m is [tex]\frac{3}{4}[/tex]

If my heart beats 2790 times every three quarters of an hour, what is your heart rate per minute?

Answers

Your heart rate is the number of times each minute that your heart beats, which is normally between 60 and 100 times per minute for adults. Your pulse is a way you can feel each time your heart beats. Measuring your heart rate helps you monitor your own health and know if you’re exercising at the right level to get the most benefits to your health.

Your pulse is your heart rate, or the number of times your heart beats in one minute. Pulse rates vary from person to person. Your pulse is lower when you are at rest and increases when you exercise (more oxygen-rich blood is needed by the body when you exercise). Knowing how to take your pulse can help you evaluate your exercise program.

2790=45min
2790/45=1min
62bpm

please help me, ive been on this for ages

Answers

The picture isin't clear can you write it

50 points please help thank you

Answers

Step-by-step explanation:

angle 3 = 58

so angle 5 = 58 too

angle 7 = 180 - angle5 - angle6

= 180- 58 -90

= 32 degree

25 points to anybody who can solve this pls!

Answers

Answer:

Q' (2,4)

R' (3,1)

S' (5,3)

Step-by-step explanation:

When reflected across x-axis, the x-values stay the same but y-values change signs. Because you count how many points till the reflection line then same amount you have to go to the other side. But since it is saying x-axis, the reflection line is on x=0 so you just change the sign.

Answer:

Q=(2,4)

R=(3,1)

S=(5,3)

Step-by-step explanation:

The x value stays the same when reflecting in the x axis

And the y value would be an equal distance from the y-axis for all coordinates so you would make -4 into 4 ecause they are both 4 away from the y-axis line.

Please give brainliest :)

Klaudia can swim five laps in the city pool every two and a half minutes If she swims for half an hour every day, how many laps does she swim every four days?​

Answers

Answer:

240

Step-by-step explanation:

30/2.5 = 12 minutes, 12*5 = 60 laps per thirty minutes. 60 * 4 days = 240 laps

The length of a rectangular frame is represented by the expression 2x + 10, and the width of the rectangular frame is represented by the expression 2x + 6. Write an equation to solve for the width of a rectangular frame that has a total area of 140 square Inches.
A: 4x^2+32x-80=0
B: 4x^2+32x+60=0
C: 2x^2+32x-80=0
D: x^2+16x+60=0​

Answers

Answer:

A

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width

  = (2x + 10)(2x + 6) ← expand using FOIL and equate to 140

 = 4x² + 12x + 20x + 60 = 140

= 4x² + 32x + 60 = 140 ( subtract 140 from both sides )

4x² + 32x - 80 = 0  

Answer:

A: 4x² + 32x - 80 = 0

Step-by-step explanation:

Length = 2x + 10 inWidth = 2x + 6 inArea = 140 in²

Formula

Area (rectangle) = Length x Width

Solving :

140 = (2x + 10)(2x + 6)2x(2x) + 10(2x) + 2x(6) + 10(6) = 1404x² + 20x + 12x + 60 = 1404x² + 32x - 80 = 0The correct option is A

The circumference of a circle is 9\piπ ft. find its radius, in feet.

Answers

Answer:

r = 4.5 ft

Step-by-step explanation:

Circumference of circle = πd

πd = 9π ft

d = 9π ÷ π

d = 9 ft

Radius = d ÷ 2

            = 9 ÷ 2

            = 4.5 ft

PLS HELP ME, I NEED THE STEP BY STEP ONE​

Answers

Answer: 6, 6, 15, 6, 15, 12, 3 , 15, 1

Step-by-step explanation: I have shown in the file two ways to calculate HCF. That's the answer from 1-9 above.

An example with number 6.


36= 12×3

24=12×2

60=12×5
HCF is 12. The highest number that can divide them all

Pleaseeeee helpppp meee :)))

Answers

A. 51

Step-by-step explanation:

Virtical angles are congruent

A die is rolled eight times. What is the
probability of getting exactly three 6's?

Answers

Answer:

0.1042, 10.42%

a basketball team torunament has 9 teams. every team will place against another team. how many games will there be

Answers

Answer:

72 games in total

Step-by-step explanation:

hope this helps :)

NEED HELP ASAP!!! WILL GIVE BRAINLIEST!! PLEASE DO BOTH!

Answers

solution 1

[tex]\dashrightarrow \sf 6\dfrac{2}{6} *1\dfrac{1}{2}[/tex]

[tex]\dashrightarrow \sf \dfrac{38}{6} *\dfrac{3}{2}[/tex]

[tex]\dashrightarrow \sf \dfrac{114}{12}[/tex]

[tex]\dashrightarrow \sf 9\dfrac{6}{12}[/tex]

solution 2

[tex]\dashrightarrow \sf 5\dfrac{2}{3} *\dfrac{3}{4}[/tex]

[tex]\dashrightarrow \sf \dfrac{17}{3} *\dfrac{3}{4}[/tex]

[tex]\dashrightarrow \sf 4\dfrac{3}{12}[/tex]

Answer:

Question 3) -- C -- 9  6/12

Question 4) -- C -- 4  3/12

Step-by-step explanation:

Hope this helps

Using the distributive property, marta multiplied the binomial (2x 3) by the trinomial (x2 x – 2) and got the expression below. (2x)(x2) (2x)(x) (2x)(–2) (3)(x2) (3)(x) (3)(–2) which is the simplified product? 2x3 6x2 – x – 6 2x3 x2 – x – 6 2x3 5x2 – x – 6 2x3 – x2 – 7x – 6

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The simplified product of (2x+3)(x²+x-2) is (2x³+5x²-x-6).

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The simplified product of the binomial (2x+3) and the trinomial (x²+x-2) can be written as,

[tex](2x+3)(x^2+x-2)\\\\= (2x \times x^2)+(2x \times x) + (2x\times -2) + (3\times x^2)+(3\times x)+(3\times -2)\\\\= 2x^3 + 2x^2-4x+3x^2+3x-6\\\\= 2x^3+5x^2-x-6[/tex]

Thus, the simplified product of (2x+3)(x²+x-2) is (2x³+5x²-x-6).

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Which equation can be used to find the measure of angle gfe? cos−1(startfraction 14.5 over 11.9 endfraction) = θ cos−1(startfraction 11.9 over 14.5 endfraction) = θ sin−1(startfraction 11.9 over 14.5 endfraction) = θ sin−1(startfraction 14.5 over 11.9 endfraction) = θ

Answers

The equation that can be used to find the measure of angle GFE is given by: Option B: cos−1(11.9/14.5) = θ

What are the six trigonometric ratios?

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle (suppose its measure is θ),

[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]

The missing information, not present in this question are:

Length of FG = |FG| = 14.5Length of FE = |FE| = 11.9Angle ∠GFE = θ

Since for the triangle GFE, if we look from the angle ∠GFE, the sides given are hypotenuse FG and the base FE.

Thus, we can use cosine ratio, and then its inverse to find the value of angle θ.

Thus, we get:

[tex]\cos(\theta) = \dfrac{|FE|}{|FG|} = \dfrac{11.9}{14.5} \\\\\theta = \cos^{-1}\left(\dfrac{11.9}{14.5}\right)\\\\[/tex]

Thus, the equation that can be used to find the measure of angle GFE is given by: Option B: cos−1(11.9/14.5) = θ

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Answer:

option B

Step-by-step explanation:

Can some help me i dont know the awnser

Answers

I know the answer. it is 7ft

Average Tim correctly answers 12 out of 18 questions in a trivia game assuming the situation is proportional how many more questions is he likely to get correct if there are 30 questions and all

Answers

Answer:

Step-by-step explanation:

12/18= 2/3, that’s the ratio of how many questions he gets right compared to total questions

So if there are 30 questions total, he will get 20 right (30 x 2/3)

If you’re taking into consideration that he already answered 18 questions, he will get 8 more correct

Please help me with this

Answers

Answer:

B) <2≅<6

Step-by-step explanation:

When a transversal crosses over 2 parallel lines there are certain statements that can be made, such as the fact that corresponding angles are congruent.

Defining a Corresponding Angle

Corresponding angles are angles that have the same relative position with different vertices. For example, if 2 angles are both in the bottom left of an intersection of 2 lines, they are corresponding. Since both angle 2 and 6 are in the top right, they are corresponding.

Proving the Lines are Parallel

Since corresponding angles are congruent when a transversal crosses parallel lines, any statement that proves corresponding angles are congruent would prove the lines are parallel. This means that <2≅<6 must prove that l║m.

Process of Elimination

Additionally, we can prove that B is correct by proving that the other answers are incorrect.

A) Angle 2 and 3 are vertical angles. This has nothing to do with parallel lines and cannot be used to prove that l║m.

C) Angle 7 and 8 are a linear pair, and, once again, this has nothing to do with whether or not l and m are parallel.

D) If l and m were parallel, then angles 3 and 5 would sum to 180 degrees. this is because if l║m, then <3 and <5 would be same side interior angles. Same side interior angles always sum to 180. So, this statement would actually disprove l║m.

Jamari's family has completed 60% of their road trip. If they have completed 90 miles so far, how long is the whole trip?​

Answers

Answer:

150 miles

Step-by-step explanation:

If they've completed 60% and have covered 90 miles

We can say

60% = 90 (miles)

We can work out 10% by dividing by 6 on both sides

10% = 15

100% is just 10 times larger

100% = 150

The trip (100% completion) is 150 miles

The following table shows the first segment of a five-year amortization schedule. a 5-year amortization schedule. the amount of interest paid for months 1 through 12 are: 99.03, 97.73, 96.42, 95.10, 93.78, 92.44, 91.09, 89.73, 88.36, 86.98, 85.58, 84.18. after one year of payments, how much has been paid to interest? a. $1,100.42 b. $1,010.16 c. $1,188.34 d. $1,241.18

Answers

After one year of payments, the amount need to be paid to interest is $1100.42 if the first segment of a five-year amortization schedule is a 5-year amortization schedule option (a) is correct.

What is a loan amortization schedule?

It is defined as the systematic way of representation of loan payments according to the time in which the principal amount and interest mentioned in a list manner.

We have a table given that showing a  first segment of a five-year amortization schedule that has a 5-year amortization schedule and the amount of interest paid for months 1 through 12.

As the loan amount is not mentioned in the question, we are assuming the loan amount is $1184.6

Therefore, loan amount = $1184.6

The outstanding amount at the end of one year, which is 12 months, is shown in the table as $84.18

After one year of payments, the amount need to be paid to interest:

= Loan amount - Outstanding amount after 12 months

= 1184.6 - 84.18

= $1100.425

Thus, after one year of payments, the amount need to be paid to interest is $1100.42 if the first segment of a five-year amortization schedule is a 5-year amortization schedule option (a) is correct.

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which unit would be best to measure the length of a whale

Answers

Meters because feet would be too short and so would inches or centimeters

Easy riddle. multiple choice

There are 32 dogs in total.
There are 12 more dogs with black spots than dogs with white spots.
How many dogs with black spots are there?

a) 14
b) 20
c) 22
d) 16

Answers

Answer:

The answer is C.

Step-by-step explanation:

(32-12)/2= 10

10+12= 22

F(5)=12 for a geometric sequence that is defined recursively by the formula f(n)=0. 3*f(n-1), where n is an integer and n>0. Find f(7) Round your answer to the nearest hundredth

Answers

Answer:

  f(7) = 1.08

Step-by-step explanation:

The recursive formula can be used with the given value to find the desired value.

__

Given:

  f(n) = 0.3×f(n-1) . . . . . where f(5) = 12

The next term in the sequence is ...

  f(6) = 0.3×f(5) = 0.3(12) = 3.6

  f(7) = 0.3×f(6) = 0.3(3.6) = 1.08

what is m ∠3 if m ∠2 = 75 what is m ∠3

Answers

What are we trying to find? A shape, complimentary or supplementary angles?

Answer:

115

Step-by-step explanation:

What is the distance between (-5,8) and( 6,8)

Answers

Answer: 11

Step-by-step explanation:Since the y coordinates are the same, the distance is the values between the x coordinates 6 - -5

6+5

11

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