Which of the following is the discriminant of the polynomial below x^2+4x+5

Answers

Answer 1

Answer:

[tex]\huge\boxed{\sf Discriminant = -4}[/tex]

Step-by-step explanation:

Comparing it with quadratic equation [tex]ax^2 + bx + c = 0[/tex], we get:

a = 1 . b = 4 and c = 5

So,

Discriminant = [tex]b^2-4ac[/tex]

D = (4)²-4(1)(5)

D = 16 - 20

D = -4

Hence,

Discriminant = -4

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Related Questions

Jasmine planted a 5-foot tree. After one year, she measured it and found out that the tree had grown 20% of its original height. How tall was the tree after one year. Pleade help very confused​

Answers

Answer: 6 foot

Step-by-step explanation:

You want to use the equation

5(n)

n will be 0.20 since the tree grew by 20% of its original height

5(0.20)=1

Now add 1 with 5

1+5

6

Answer:

6.0 ft

Step-by-step explanation:

20% of 5.0 ft is 1.0 so you add,   1.0ft+5.0ft=6.0ft

Write the word sentence as an inequality. Then solve the inequality.

The product of −2 and a number x is greater than 30.

Answers

Step-by-step explanation:

divide by 2 then reverse

Subtract x – 2y from the sum of -3x + 5y -3z and 2x -7y + 3z

Answers

Answer:

-3x+5y-3z + 2x-7y+3z

= -x-2y

= x-2y-(-x-2y)

= x + x +2y-2y

= 2x

Subtract x - 2y from the sum of -3x + 5y - 3z and 2x - 7y + 3z.

First, find the sum (addition) of -3x + 5y - 3z and 2x - 7y + 3z. To do this, Combine like terms (values with the same variable).

-3x + 2x = -x
5y + -7y = -2y
-3z + 3z = 0

-3x + 5y - 3z + 2x - 7y + 3z = -x -2y

Now subtract x -2y from -x -2y

-x -x = -2x
-2y + 2y = 0

Your final answer is -2x

Amber's rectangular patio is 30 feet
long. The ratio of length to the
width is 4 to 2. What is the width of
Amber's patio in yards?
(Hint: 3 feet = 1 yard)

Answers

I’m pretty sure the width would be 15 be 4 to 2 is the same as 2 to 1

Solve
5x+y=-17 8x-3y=-18

Answers

Answer:

x = -3

y = -2

Step-by-step explanation:

Answer:

( x,y ) = ( 72/163,-3294/163

HELP PLEASE HELP PLS HELP THIS WORK NEED TO BE FINISH HELP ME WITH IT WILL BE REWARD BRAINLIEST AND WILL GIVE 100 PIONT FOR FREE!

Answers

Answer:

The simplified expression is 498,400÷7. The value is 71,200.

Step-by-step explanation:

712×25×14×2= 498,400.

498,400÷7 becomes our expression. And that answer is 71,200. I hope this helps

Answer:

Step-by-step explanation:

substitute

a + 2p = 4

x − 2y = 6

factor [tex]x^{2}[/tex]- 16

Answers

Answer:

(x - 4)(x + 4)

Step-by-step explanation:

x² - 16 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

x² - 16

= x² - 4²

= (x - 4)(x + 4)

The answer is (X +4) (X -4)

please help me ill mark you brainliest and please show your work :)

Answers

No solution I hope it helps you out

will mark brainiest, please explain

Answers

Imagine cutting this shape into two semi-circles and one rectangle.

------------------------------------------------------------------------------------------------------

Each semi-circle has a diameter of 36 metersThe radius would be (36/2) = 18 meters.

--------------------------------------------------------------------

We know the area of a whole circle which is π[tex]r^{2}[/tex]

The formula of area of a semi-circle:  1/2(π[tex]r^{2}[/tex])

because a semi-circle is basically half of the whole circle!

However, since we have two equal semi-circles...we can just put them together and solve for the whole circle's area.

for reference:

1/2(π[tex]r^{2}[/tex]) + 1/2(π[tex]r^{2}[/tex]) = 2/2(π[tex]r^{2}[/tex]) = π[tex]r^{2}[/tex]

----------------------------------------------------------

First, the area of rectangle: length times width = 84 x 36 = 3024 square meters

Anyways, since we have to sub in 3.14 for π

Area of a whole circle: (3.14 x [tex]r^{2}[/tex]) = (3.14 x [tex]18^{2}[/tex]) = 1017.36 square meters

-----------------------------------------------------------

3024 + 1017.36 = 4041.36 square meters

ANSWER: J

7. A number m is such that when it is divided by 30, 36, and 45 the remainder is always 7, find
the smallest possible value of m. (3 marks)​

Answers

Answer:

187

Step-by-step explanation:

HURRYYY A company is introducing a new product. The equation y = –0.001(x – 600)2 + 90 predicts the expected profit, in thousands of dollars, where x represents the number of thousands of units of the product sold by the company. How many units must be sold to yield a maximum profit? 90 600 90,000 600,000

Answers

Answer:

d

Step-by-step explanation:

^u^

The amount of units that must be sold to a number yields a maximum profit is 600. Hence 600 units will be the correct option.

How to find maxima?

To find the maxima of any function it needs to differentiate with respect to the dependent variable and equate with zero to get stationary points.

After achieving the stationary points it needs to put on the double derivative of that function to check whether it's maxima or minima.

If the double derivative got negative then it will be maxima.

Given that function

f(x) = -0.001(x-600)² + 90

By differentiation

[tex]$f'(x)$[/tex] = -0.002(x - 600) + 90

Now equate with zero

-0.002(x - 600) + 90 = 0

x - 600 = 0

x = 600

Now checking the x at double derivative

[tex]$f''(x)$[/tex] at x = 600 it is coming out to -0.002 which is negative Hence, the 600 units will be the correct answer.

For more about maxima

https://brainly.com/question/13995084

#SPJ5

Select each expression that shows a correct method for finding 36% of 400. There is more than one answer!!! 3.6100 x 4003.6100 x 400 36100x 400 36100x 400 0.36 ⋅ 400 0.36 ⋅ 400 36 ⋅ 400 36 ⋅ 400 0.36100 x 400

Answers

Answer:

B. 36/100 x 400

C. 0.36 ⋅ 400

Step-by-step explanation:

A. 3.6/100 x 400

B. 36/100 x 400

C. 0.36 ⋅ 400

D. 36 ⋅ 400

E. 0.36/100 x 400

36% of 400

= 36/100 × 400

= 0.36 * 400

= 144

Find the degree measure of the angle expressed by 11x-6.

Answers

Answer:

Won't it just be 60, because it's an equilateral triangle.

Step-by-step explanation:

60 + 60 = 120

180 - 120 = 60

11x - 6 = 60

11x = 66

x = 66/11

x = 6

Let's substitute.

11(6) - 6 = 66 - 6 = 60

Pls help I need this answer asap I got 10 min left :(

Answers

Answer:

Step-by-step explanation:

Evaluate [5 - (4 - 2(6 - 2) + 2)] + 3

A. 12
B -54
C24
D -7
E None of the above

Answers

Answer:

e because the answer would be -4

it’s e, the right answer isn’t on there


Anything raised to a power of zero is always:

Answers

Answer:

1

Step-by-step explanation:

u cant really multiply anything so it 1

Multiply. Express your answer as a fraction in
simplest form.
8.33 x 144

Answers

Answer
65-44.78>4
I hope this helps:)

what is the least common denominator of 9/10 and 1/4

Answers

Answer:

Step-by-step explanation:

Solution:

Rewriting input as fractions if necessary:

9/10, 1/4

For the denominators (10, 4) the least common multiple (LCM) is 20.

LCM(10, 4)

Therefore, the least common denominator (LCD) is 20.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

9/10 = 9/10 × 2/2 = 18/20

1/4 = 1/4 × 5/5 = 5/20

Express the sum: a-5
Plz help

Answers

Answer: (a+a)-10

Step-by-step explanation: I think this works bcuz it's equivalent?

PLEASE HELP!!!! ILL GIVE BRAINLIEST!!!!!!!


need to graph it then find the area of the triangle

Answers

Answer:

area is 9

see picture for points

Step-by-step explanation:

base is 6

height is 3

6 * 3 /2 = 9

When leaving from the port station at sea level, the Carmelit funicular travels 5,658 feet horizontally along a slope of 14.6/94.3. What is the elevation of the top station?

Answers

Answer: 876 feet

Step-by-step explanation:

Given

Carmelit travels 5658 feet horizontally

The slope of trajectory is   [tex]\dfrac{14.6}{94.3}[/tex]

We know, the slope is

[tex]\Rightarrow \text{slope}=\frac{\text{Vertical distance}}{\text{horizontal distance}}\\\\\Rightarrow \dfrac{14.6}{94.3}=\dfrac{Y}{5658}\\\\\Rightarrow Y=876\ feet[/tex]

Hence, the elevation of the top station is 876 feet

5/9 if a number is 65 find the number​

Answers

Answer:

117

Step-by-step explanation:

Required number

[tex] = 65 \times \frac{9}{5} \\ \\ = 13 \times 9 \\ \\ = 117[/tex]

Sarah bought 18 boxes of 65 pens at $12 a box. She sold 378 of them at 3 for $1.00 and the rest at 4 for $1.00. She sold 378 of them at 3 for $1.00 and the rest at 4 for $1.00. Find her total profit.

Answers

Answer:

$108

Step-by-step explanation:

The computation of the total profit is shown below:

Given that

1 box = $12

18 boxes = 12×18 = $216

So

Total = 18×65 = 1170 pens

Now Cost price, Cp = $216

Also,

3 = $1

So,

= 378 ÷ 3

= $126

Now

= 1170-378

= 792 pens remaining

4 = $1

So,

792

= 792 ÷ 4

= $198

Now

Total selling price, sp = 126+198 = $324

So finally

Profit = Sp - Cp

= $324 - $216

= $108

write the following using algebraic notation, using the letter x for any unknown numbers. i think of a number, double it, then add 9

Answers

Answer:

2x+9

Step-by-step explanation:

I hope this helps :)

At a summer camo 23 of the boys and 17 of the girls can swim. There are 9 boys and 11 girls at the camp who cannot swim. What is the ratio of the number of children who can swim to the number of children who cannot swim

Answers

Answer:The ratio of the number of children who can swim to the number of children who cannot swim=2:1

Step-by-step explanation:

Number of children that can swim  = N umber of boys and girls that can swim =23+17  =40

Number of children that cannot  swim  = N umber of boys and girls that cannot swim=9+11=20

=40:20

=2:1

Complementary and Supplementary Angles

Answers

Answer: See explanation

Step-by-step explanation:

1. Complementary (adds up to 90°)

2. Neither

3. Supplementary (ads up to 180°)

4. Adds up to 90° since its complementary

22 + 4x = 90

Subtract 22 from both sides

4x = 68

Divide both sides by 4

x = 17

5. Adds up to 90° since its complementary

65 + x + 2 = 90

x + 67 = 90

Subtract both sides 67

x = 23

6. Adds up to 90° since its complementary

43 + x - 7 = 90

x + 36 = 90

Subtract both sides by 36

x = 54

7. Adds up to 180° since its supplementary

29 + x - 5 = 180

x + 24 = 180

Subtract both sides by 24

x = 156

8. Adds up to 180° since its supplementary

110 + 7x = 180

Subtract both sides by 110

7x = 70

Divide both sides by 7

x = 10

9. Adds up to 180° since its supplementary

72 + x + 4 = 180

x + 76 = 180

Subtract both sides by 76

x = 104

10. Adds up to 90° since its complementary

49 + x + 3 = 90

x + 52 = 90

Subtract both sides by 52

x = 38

11. Adds up to 180° since its supplementary

92 + x + 78 = 180

x + 170 = 180

Subtract both sides by 170

x = 10

12. Adds up to 180° since its supplementary

19 + x - 50 = 180

x - 31 = 180

Add 31 to both sides

x = 211

13. Supplementary angles add up to 180°

∠C + ∠D = 180

∠C + 45 = 180

Subtract both sides by 45

∠C = 135°

Hope I helped!

can someone solve 5x − 7 = 13 step by step

(instructions: Add 7 to both sides: 5x = 20

Divide both sides by 5: x = 4)


Like the example below

Answers

Answer:

x=4

Step-by-step explanation:

5x-7=13

5x=13+7

5x=20

x=20/5

x=4

Answer:

x = 4

Step-by-step explanation:

5x - 7 = 13

add 7 to both sides:

5x - 7 + 7 = 13 + 7

5x = 20

divide both sides by 5

[tex]\frac{5x}{5} = \frac{20}{5}[/tex]

x = 4

Help please! You'll get 40 points :D

Answers

Answer:

840.89+928= 1768.89

74.4 / 0.8= 93

Step-by-step explanation:

I hope this helps <3

Answer:

The difference:

128.04 - 8.287 = 119.753

The product:

1389 × 6.58 = 9139.62

The sum:

840.89 + 928 = 1768.89

The quotient:

74.4 ÷ 0.8 = 93

hey guys help me with this
and pls explain your answer

Answers

Answer:

720

Step-by-step explanation:

in an all year is 8760

A sofa is 12 years oldvand a table is 36 years omd.In how many years will the table be twice as old as the sofa ?​

Answers

Answer:

12 years later.

Step-by-step explanation:

Let assume in X years, the table will be twice as old as the sofa.

36+X=2(12+X), X=12

Or think it the other way. The difference of ages between two things never change. So they must have a difference(of age) of 24 forever. When will this difference(24) be as same as the younger's age so that the older one is exactly twice as old as the younger? 12 years later when the sofa is 24.

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