Use the quadratic equation x^2+3x+5=0 to answer the questions. A: What is the discriminant of the quadratic equation? B: Based on the discriminant, which statement about the number and type of solutions to the equation is correct?

A: 11
A: 29
A: −11
A: −29
B: The equation has two complex solutions.
B: The equation has one repeated real solution.
B: The equation has two real solutions.

Answer:

3x - 2 = -5x + 6

8x = 8

x = 1

y = 3 (1) -2

y = 3 - 2

y = 1

Step-by-step explanation:

Answer:

x = 1 and y = 1

Step-by-step explanation:

We want to find the solution. Our equations are:

y = -5x + 6

y = 3x - 2

Let's set these two equations equal to each other:

-5x + 6 = 3x - 2

8x = 8

x = 1

Substitute this back into any of the two equations to solve for y:

y = 3x - 2

y = 3 * 1 - 2 = 3 - 2 = 1

Thus, the answer is (1, 1), or x = 1 and y = 1.

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

m (slope)=1

Step-by-step explanation:

y=x+6(m is always found in front of X so m=1)

Answer: 1

Step-by-step explanation: This equation is written in y = mx + b form.

The slope of the line will be the coefficient of the x-term.

Remember, the coefficient is the number in front of the variable.

Notice that the x does not have a coefficient.

When that happens, when there is no number in front

of your variable, you can put a 1 there to fill that position.

So the slope of the line will is 1.

Answer:

x=-4.73 and -1.26

Step-by-step explanation:

We need to solve the given equation for x.

[tex](x + 3)^2 - 3 =0[/tex]

Solving the above equation using formula (a+b)² =a²+2ab+b²

[tex](x + 3)^2 - 3 =0\\\\x^2+9+6x-3=0\\\\x^2+6x+6=0[/tex]

It is a quadratic equation.

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

We have, a = 1, b = 6 and c = 6

[tex]x=\dfrac{-6\pm \sqrt{(6)^2-4\times 1\times 6} }{2\times 1}\\\\x=\dfrac{-6+\sqrt{(6)^{2}-4\times1\times6}}{2\times1},\dfrac{-6-\sqrt{(6)^{2}-4\times1\times6}}{2\times1}\\\\x=-1.267, -4.73[/tex]

So, the values of x are -4.73 and -1.26

Answer:

see below

Step-by-step explanation:

V = l*w*h

1. V = l*w*h

96 = 6*3.2 h

96 = 19.2h

Divide each side by 19.2

96/19.2 =h

h = 5

2. V = l*w*h

22 = l*2 *1.1

22 = 2.2l

Divide each side by 2.2

22/2.2 =l

10 = l

3. V = l*w*h

120 = 12*w *4

120 = 48w

Divide each side by 48

120/48 = w

w =2.5

Answer:

They are equal

Step-by-step explanation:

5.130 is equal to 5.13 because you simply added a zero onto the end of 5.13.

Adding a zero after a decimal is like adding a zero in front of an integer.

1.5 = 1.50

5 = 05

Answer: 76

Step-by-step explanation:

25

Vertical angles are congruent/equal :

Answer:

25°

Step-by-step explanation:

Because its equal to the angle across it.

Answer:

b = -2

Step-by-step explanation:

Hello!

Solve the equation:

We can plug it back in to the original equation to see if it works:

The solution works.

Answer:

(1,3) (2,5)

Step-by-step explanation:

Keep going in a straight line like that. You choose a number for x, multiply with 1, then add 3. like if my x is 4 then 4 times 1 is 4 then i add three so seven, so (4,7)

Answer:

20 percent for drama club

30 percent for art club

Answer:

p(drama club) = 1/5

p(art club) = 3/10

Step-by-step explanation:

Total number of students = 40

Number of students in drama club = 8

p(drama club) = 8/40 = 1/5

Number of students in art club = 12

p(art club) = 12/40 = 3/10

Answer:

3.5 and -3.5

Step-by-step explanation:

absolute value is the distance from zero to that number so 3.5 and -3.5 should be correct.

Answer:3.5 and -3.5

Step-by-step explanation:

n has absolute value marks, so whatever n is is positive. 3.5 and |-3.5| =3.5

Answer:

(2x-4)(x-4)=24*10

Step-by-step explanation:

Last equation from Equation bank

Answer: AB = 15 units long.

Step-by-step explanation:

The triangles are identical.

You can infer this from both triangles sharing the side of BD and AD and CD marked as equal in length.

When triangles are identical, all three sides and angles are identical in length and measure, respectively.

Knowing this, we can set the sides of "5x" and "4x + 3" equal to each other in an equation to solve for x:

5x = 4x + 3

x = 3

When x equals 3, multiply x by 5 to find the side length of AB.

AB = 15 units long.

Answer:

sin(B) = 4/5

cos(B) = 3/5

tan (B) = 4/3

Step-by-step explanation:

soh cah toa

Answer:

Step-by-step explanation:

Probability is defined as the likelihood or chance that an event will occur. IT is expreesed as shown;

Probability = Expected outcome of event/total outcome of event

If a bag contains 20 total marbles, then the total outcome of event is 20.

If 12 blue marbles are selected from the bag, the expected outcome of event will be 12.

Probability of drawing a blue marble P(draw a blue marble)= 12/20

= 0.60 (to 2dp)

Answer:

4 × (7 - 3)

Step-by-step explanation:

You first subtarct 3 from 7 and then multiply that answer by 4

Answer:

4 × (7 - 3)

Step-by-step explanation:

Answer:

X^2 + 8x + 15

Step-by-step explanation:

The only like terms are 5x and 3x so you add those together and sinse no other terms are similar you leave the answer at x^2 + 8x +15.

Answer:

x = 52

Step-by-step explanation:

the right angle means 90 degrees so add 90 and 34 to get 124 then when u subtract from 180 degree (the degrees of a triangle) you get 54 degrees. that means that p has to be 124 degrees. 124 subtracted by 72 is 52. Therefore x is 52.

Answer:

An isosceles triangle

Step-by-step explanation:

An isosceles triangle has 3 sides and has two equivalent sides with the same measure

Answer:

Triangle Isosceles

Step-by-step explanation:

Triangle Isosceles is the 3 sided opygon wich has two sides the same lenght

Answer:

1180.12

Step-by-step explanation:

p= 4000

r = 9% =0.09

t =3

plug in into  B = p(1 + r)^t

B = 4000(1 + 0.09)^3

B = 4000(1.09)^3

B =5180.116 round to the 2 decimals

B = 5180.12

make the difference between B, the balance (final amount) and  p, the principal (starting amount) = 5180.12-4000 =1180.12

Read more on Brainly.com - https://brainly.com/question/16685853#readmore

Answer:

the answer to this is option 4.

Answer:

4, x = -17

Step-by-step explanation:

Answer:

y=0

Step-by-step explanation:

8^3 8^-5 8^y= 8^-2

We know that a^b * a^c = a^(b+c)

8^(3-5+y) = 8^-2

The bases are the same so the exponents must be the same

-2+y = -2

y = 0

Answer:

0

Step-by-step explanation:

Answer:

h = 2.5 cm

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Ah ( A is the area of the triangular end, h is the length of prism )

Here V = 35 and h = 7, thus

7A = 35 ( divide both sides by 7 )

A = 5 cm²

Thus

A = [tex]\frac{1}{2}[/tex] × 4 × h = 5

2h = 5 ( divide both sides by 2 )

h = 2.5 cm

Answer:

pi/3  irrational

Step-by-step explanation:

A rational number is the ratio of two integers

-1/3 is two integers  rational

-3 can be written as -3/1  rational

13 can be written as 13/1  rational

pi/3  pi itself is irrational  and cannot be written as an integer

Answer:

Step-by-step explanation

since we have a right triangle then we can apply the Pythagorean theorem:

x² + 8² =10²

⇒ x² = 10² - 8²

⇒ x² = 36

⇒  x² = 6²

⇒ x = 6  (because x is positive)

Answer:

1.3 x 1020

Step-by-step explanation:

4.8 x 10-6 = 42

1.3 x 1020 = 1326

3.1 x 10-4 = 27

9.2 x 10-5 = 87

Answer:

x = 10, x = 0

I dont know if you wanted an answer but yeah-

Answer:

A bag of chips costs $1

A pickle costs $1.25

Step-by-step explanation:

P + 2c = 3.25                            Start with these two equations

3p + 4c = 7.25

p = -2c + 3.25                           Solve for one variable

3(-2c +3.25) + 4c = 7.25           Substitute

-6c + 9.75 + 4c = 7.25

-2c = -2

c = 1

p + 2(1) = 3.25                           Substitute

p + 2 = 3.25

p = 1.25

Answer:

Angle A = 55.15 degrees

Step-by-step explanation:

cos^-1(4/7)=Angle A

Therefore, Angle A = 55.15 degrees

Answer:

55.15

Step-by-step explanation: