Can y’all help me on question 24?!

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Use these formulas to solve for this equation.}\\\\\\\mathsf{ax^2 + bx + c = 0}\\\\\\\mathsf{x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}}[/tex]

[tex]\mathsf{x^2-14x + 74= 0}[/tex]

[tex]\mathsf{1x^2 + (-14x) + 74= 0}[/tex]

[tex]\large\text{Whereas, a = 1, b = -14, \& c = 74}[/tex]

[tex]\mathsf{x =\dfrac{-(-14)\pm \sqrt{(-14)^2 - 4(1)(74)}}{2(1)}}[/tex]

[tex]\mathsf{-(-14) = \bf 14}\\\\\mathsf{(-14)^2-4(1)(74)=\bf -100}[/tex]

[tex]\mathsf{x = \dfrac{14\pm \sqrt{-100}}{2}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf No real solutions}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

[tex] \Large{\boxed{\sf x= 7 \pm 5i} } [/tex]

[tex] \\ [/tex]

The given equation is a quadratic equation. In other words, it is written in the form ax² + bx + c = 0, where a ≠ 0.

[tex] \\ [/tex]

We will solve this equation using the quadratic equation, which is the following:

[tex] \sf x = \dfrac{- b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] \\ [/tex]

First, let's identify the value of the coefficients a, b, and c:

[tex] \\ [/tex]

Then, substitute these values into the quadratic formula:

[tex] \sf x= \dfrac{-(-14) \pm \sqrt{(-14)^2 - 4(1)(74)}}{2(1)} = \dfrac{14 \pm \sqrt{-100}}{2} [/tex]

[tex] \\ [/tex]

Simplify the expression knowing that [tex] \sf \sqrt{-1} = i [/tex], and keep in mind the following property:

[tex] \Large{\boxed{\sf \sqrt{ab} = \sqrt{a}\sqrt{b} }} [/tex]

[tex] \\ [/tex]

[tex] \sf x= \dfrac{14 \pm \sqrt{100 \times (-1) }}{2} = \dfrac{14 \pm \sqrt{100} \times \sqrt{-1}}{2} = \dfrac{14 \pm 10 \times i }{2} \\ \\ \implies \boxed{\boxed{\sf x= 7 \pm 5i}} [/tex]

[tex] \\ [/tex]

Therefore, the two complex conjugate roots of this equation are x = 7 + 5i and x = 7 - 5i.

[tex] \\ [/tex]

▪️Learn more about quadratic equations and complex conjugate roots here:

↣https://brainly.com/question/13880878

Answer:

Yes, it is possible

Step-by-step explanation:

Answer:

P( 44 < X < 56 ) =  0.12

Step-by-step explanation:

Number of seconds one gets to solve the puzzle ( X )

E( X ) = 100 + 0 ) / 2 = 50

Var ( X ) = 833.3333

бx = √833.3333  =  28.868

Determine The approximate probability

P( 44 < X < 56 ) = Δ time given / number of players selected

P( 44 < X < 56 ) = (56 - 44) / 100

                          = 12 / 100 = 0.12

Answer: ux= 10.5, ox= 0.001

Step-by-step explanation:

I took the test and got it right

Therefore , the solution of the given problem of square comes out to be the ABCD  square is 18 inches

The side length of a square ABCD is 18 inches Each side of square ABCD is 18 inches The midpoints of ABCD are joined to form a square MNOP The figure is attached below

Here,

We need to find the side length of square MNOP

AMN form a Right angle triangle

We know AM =9  and AN= 9

To find MN , use Pythagoreans theorem

MN2=AM2+AN2

MN2=9square+9 square

MN2=162

Take square root on both sides

MN=9 root 2

so the side of the square MNOP is  9 square root 2 inches

To learn more about square refers to;

brainly.com/question/11581964

#SPJ1

Answer:

28(brainlestplzzzzzzzzzzzzzzz)

Step-by-step explanation:

Answer:

28 men will be needed for three hours.

Step-by-step explanation:

7 hours --- 12 men

1 hour --- (12 * 7) 84 hours

3 hours --- (84/3) = 28 hours

Thenks and mark me brainliest :)))

Answer:

b is corect

Step-by-step explanation:

Answer:

pls give brainless

Step-by-step explanation:

How many barrels of oil does the US use per year?

The U.S. uses about 6.6 billion barrels per year. That is only enough oil to last the U.S. about three and a half years without importing oil from other countries. 84% of the reserves are concentrated in four states.

Answer:

okay.................................

Answer:

Step-by-step explanation:

1）√320=8√5

（√125+√45）=8√5

（√500-√20）=8√5

ABC is an equilateral triangle.

2) area=1/2 lengh * h

1/2 * 4√15 * 8√5

=2√15 * 8√5

=80√3

Answer:

The length of the fence is 6.28x-150 cm.

Step-by-step explanation: ... Since the pool is in a circular shape so the circumference will be the length of the fence.

Answer:

Mei is correct because -9 is to the left of -3 on the number line. ( -9<-3)

Answer:

Mel is correct because -9 is to the left of -3 on the number line.

Step-by-step explanation:

This is because numbers on the left are less so -9 is less than -3.

Answer:

20

Step-by-step explanation:

5 x 4 = 20

take both numbers and multiply them .

Answer:

it would be [tex]x^2z^2[/tex]

Step-by-step explanation:

you would just put the x^2 next to the z^2 in this case.

Answer:

Step-by-step explanation:

or the function f(x) = x² what is the

Max. domain if y is restricted to; f(x) = 144 and

f(x) =1286?

9514 1404 393

Answer:

  distributive property

Step-by-step explanation:

The distributive property of multiplication over addition tells you ...

  a(b +c) = ab +ac

This works both ways, allowing you to eliminate or add parentheses as may be needed.

The common factor of ...

  11x +5xy

is x. It may be factored out according to the distributive property to give ...

  x(11 +5y)

Answer:

slope is 3/4 or .75

Step-by-step explanation:

Equation of line is

y= .75 + 1.5

hope this helps :)

Answer:

xr ≤ 7

Step-by-step explanation:

He must spend less than or equal to 7$ to account for 5 trips and 3 extra dollars for 1 trip.

Hi there!

[tex]\large\boxed{P = 4x^2 + 12x + 22}[/tex]

The perimeter of a rectangle is:

P = 2l + 2w

Thus, plug in the given length and width:

P = 2(2x² + 5x + 8) + 2(x + 3)

Distribute:

P = 2(2x²) + 2(5x) + 2(8) + 2(x) + 2(3)

Simplify:

P = 4x² + 10x + 16 + 2x + 6

Combine like terms:

P = 4x² + 12x + 22

Answer:

[tex]4x^2+12x+22[/tex]

Step-by-step explanation:

The perimeter of a rectangle is equal to [tex]2l+2w[/tex] where l is the length and w is the width. So, this rectangle would be equal to [tex]2\left(x+3\right)+2\left(2x^2+5x+8\right)[/tex]. Then, to find the polynomial simplify the expression. To do this first distribute the two 2s. This equals [tex]2x+6+4x^2+10x+16[/tex]. Then, add like terms to finish simplifying. This gives you the final answer of [tex]4x^2+12x+22[/tex].

Answer:

Step-by-step explanation:

X+X+X+Y+Y=

you simply count equal letters and add them x+x+x is 3x and y + y = 2y.

x + x + x + y + y =

3x + 2y

Answer:

(4,-3)

Step-by-step explanation:

The y coordinate stays the same, and the x changes from positive to negative

Answer:

D . 64

Step-by-step explanation:

Explanation attached as photo

Answer:

10.14

Step-by-step explanation

The numbers sum equals 71

and there are 7 # so

71/7

=

Ans.

Answer:

378873

Step-by-step explanation:

Using the relation :

y = 180000(1.07)^x

x = Number of days since May 6 ;

y = Number of mosquitoes after x days

x = May 17- May 6 = 11 days

Therefore, number of mosquitoes inhabiting the city on May 17 will be :

y = 180000(1.07)^11

y = 180000 * 2.1048519522998348950643

y = 378873.351413970281111574

y = 378873 (nearest whole number).

Answer: 16.10

Step-by-step explanation:

$14 + 15% increase rate = 16.10

15% = 2.10

Answer:

Y intercept is where x=0. Plug it in the original function find the y intercept

Step-by-step explanation:

Graph?