ASAP !!

If using the method of completing the square to solve the quadratic equation x^2+3x-17=0x
2
+3x−17=0, which number would have to be added to "complete the square"?

Answer:

A number line with a closed circle on 25, with shading to the right.

Explanation:

A closed circle means "greater than or equal to" or "less than or equal to".

A open circle means "less than" or "greater than"

Therefore, since the question says: "who are at least 25 years old", a closed circle is the correct answer.

And says it says "at least 25 years old" it means that it shaded to the right, and that the circle is on the number 25.

Answer:

A number line with a closed circle on 25, with shading to the right.

Step-by-step explanation:

...

Answer:

For this exercise, we need to add to the $200 the cost of the hours the DJ has been working

If each hour costs 12.50 $ and he worked 8.5 hours, we can just multiply to see the price of their work:  12.5 * 8.5 = $106.25

Now, we can do the sum: 200 + 106.25 = $306.25

Answer:

Right answer = 52

Wrong answers = 8

Step-by-step explanation:

Every correct answer = + 3

Every wrong answer = - 2

Number of correct answers = x

Number of wrong answers = y

x + y = 60 - - - (1)

3x - 2y = 140 - - - (2)

From (1) :

x = 60 - y

Put x = 60 - y into (2)

3(60 - y) - 2y = 140

180 - 3y - 2y = 140

180 - 5y = 140

-5y = 140 - 180

-5y = - 40

y = 8

x = 60 - y

x = 60 - 8

x = 52

Right answer = 52

Wrong answers = 8

Answer:

Can u explain more pls?

Step-by-step explanation:

Answer:

Square

Step-by-step explanation:

Answer:

x is ( -∞, 6-√(33) ) U ( 6+√(33) , -∞ )

Step-by-step explanation:

I have attached the explanation on the image above, hopefully this help

Answer:

9

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

75=75/100=3/4

3/4*b=12

b=12/1*4/3

Answer:

[tex]Pr = 0.059049[/tex]

Step-by-step explanation:

Given

[tex]p = 0.9[/tex] --- probability of scoring

Required

Probability that his first miss is his 6th shot

Let q represent the event that he did not score.

Using complement rule:

[tex]q = 1 - p = 1 - 0.9 = 0.1[/tex]

The event that his first miss is his 6th is represented as:

p p p p p q ---- That he scoress the first 5 attempts

So, the probability is:

[tex]Pr = p^5 * q[/tex]

[tex]Pr = 0.9^5 * 0.1[/tex]

[tex]Pr = 0.059049[/tex]

Answer:

[tex](2,8][/tex]

Step-by-step explanation:

Given

The attached piece wise function

Required

The domain

To do this, we simply consider the inequalities that bound the values of x.

The inequalities are:

[tex]2 < x < 4[/tex]     [tex]4 < x < 8[/tex]   and   [tex]x \ge 8[/tex]

Combine the first two inequalities:

[tex]2 < x < 8[/tex]    and   [tex]x \ge 8[/tex]

For the inequality to be true, we must have:

[tex]2 < x \le 8[/tex]

In interval notation, the inequality is:

[tex](2,8][/tex]

Answer:

1. x =(3-√257)/4=-3.258

2. x =(3+√257)/4= 4.758

Step-by-step explanation:

irst add  

x

to both sides of the second equation to get:

y = x + 3

Then substitute this expression for  y  into the first equation to get:

29 = x 2 + ( x + 3 ) 2 = 2 x 2 + 6 x + 9

Subtract  29  from both ends to get:

0 = 2 x 2 + 6 x − 20

Divide both sides by  2  to get:

0 = x 2 + 3 x− 10 = ( x+ 5 ) ( x − 2 )  

So  x = 2 or  x = − 5

If  x = 2  then  y = x + 3 = 5 .

If  x = − 5  then  y=x + 3 = − 2

So the two solutions  

( x, y )  are  ( 2 , 5 )  and  ( − 5 , − 2 )

Answer:

Step-by-step explanation:

Answer:

54.7 mm

Step-by-step explanation:

use the formula area= 1/2 base time height

A=1/2bh

Answer:

54.7mm

Step-by-step explanation:

Area=1/2b×h

218.8=0.5×8×h

218.8=4h

h=218.8÷4

h=54.7

Answer:

the square root of 75 is 8.6

and 8.6 times 3 is

the answer is 25.8

Hope This Helps!!!

Answer: John Graunt

Step-by-step explanation:

John Graunt is referred to as the Columbus of statistics because his book made a fundamental contribution by attempting to demonstrate the quantitative characteristics of birth and death data.

He's regarded as the founder of demography which is the statistical study of the population of human beings.

Answer:

A. 2a

Step-by-step explanation:

imagine an imaginary 1 in front of the a

3a + 7 – 1a – 7

subtract numbers without variables

3a + 7 – a – 7

3a-1a

subtract 1a from 3a

2a

Answer:

A. 2a

Step-by-step explanation:

3a + 7 - a + 7

= 3a - a + 7 - 7

= 2a + 0

= 2a

Answer:

1.06

Step-by-step explanation:

cos41⁰ = 0.8 ÷ X

X = 0.8 ÷ cos41⁰

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a right triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

x = Hyp  (for this question)

Cos(41) = 0.8 / Hyp

use your algebra skillz

Hyp = 0.8 / Cos(41)

use your calculator to fund Cos(41) into 0.8

Hyp = 1.060010395  (that's all the decimal places my calc would go out to )

x = 1.1  ( rounded to nearest 10th )

Answer:

x = 5.333 , y= 9.620764575

Step-by-step explanation:

sin(29)/x = sin(90)/11

x = 11* sin(29)/sin(90)

x = 5.333

(5.333)^2 + y^2 = 121

y^2 = 121 - (5.333)^2

y= 9.620764575

Answer:

[tex] \blue{b = \dfrac{2A}{h}} [/tex]

Step-by-step explanation:

[tex] A = \dfrac{1}{2}bh [/tex]

Step 1. Switch sides.

[tex] \dfrac{1}{2}bh = A [/tex]

Step 2. Since the fraction 1/2 multiplies b, multiply both sides by the reciprocal of 1/2 which is 2.

[tex] 2 \times \dfrac{1}{2}bh = 2 \times A [/tex]

[tex] bh = 2A [/tex]

Step 3. Since h is multiplying b, and you want b alone, divide both sides by h.

[tex] \dfrac{bh}{h} = \dfrac{2A}{h} [/tex]

Answer:

[tex] b = \dfrac{2A}{h} [/tex]

Answer:

85°

Step-by-step explanation:

The exterior angle of a triangle is=sum of the opposite interior angles

So

? °=45°+40°

9514 1404 393

Answer:

  20.0 square units

Step-by-step explanation:

There are many ways the area can be computed here. Perhaps the intended one is to find the length of the third side, then use the usual triangle area formula.

  b = √(c² -a²) = √(9² -7²) = √32 ≈ 5.7

Then the area is ...

  A = 1/2bh = 1/2(5.7)(7) ≈ 20.0

The area is approximately 20.0 square units.

_____

Additional comment

It is highly unusual to make use of rounded intermediate results. That is a guarantee that the final answer will have more error than necessary. Ordinarily, you would never do that.

An alternate solution might be ...

  angle = arccos(7/9) ≈ 38.9°

  area = 1/2(7)(9)sin(38.9°) ≈ 19.8 . . . . square units (assuming the sine value is not rounded to 0.6)

Respuesta:

1,4 kilometros

Explicación paso a paso:

Dado que :

Distancia que separa a Sandra y José en el mapa = 7cm

Dibujo a escala = 1: 20.000; Esto se puede interpretar en el sentido de que 1 cm en el mapa equivale a 20.000 cm en el suelo.

Por tanto, una distancia de 7 cm en el mapa será:

20.000 * 7 = 140.000 cm en el suelo = distancia real

Por lo tanto, la distancia real = 140.000 cm.

Recordar :

1 cm = 10 ^ -5 km

140000 cm = 1.4 kilometros

Por lo tanto, la distancia real entre Sandra y José es de 1,4 km.

Answer:

the area to the kite is sixty-four

Step-by-step explanation:

multiply the width to the height

Answer:

Supongo que la pregunta completa es:

"Una recta pasa por los puntos A(-4, 0) y B(2, -3)"

Luego dice "calcular su área", pero una recta es un elemento unidimensional (los cuales no tienen área, el área es un concepto bidimensional).

Por lo que el área de esta recta no está definida.

Ignorando esto, podemos encontrar la ecuación que define a nuestra recta.

Sabemos que una recta se escribe como:

y = a*x + b

donde a es la pendiente y b es la ordenada al origen.

Sabemos que para una recta que pasa por los puntos (x₁, y₁) y (x₂, y₂), la pendiente será:

a = (y₂ - y₁)/(x₂ - x₁)

Entonces, para nuestra recta que pasa por los puntos (-4, 0) y (2, - 3) la pendiente será:

a = (-3 - 0)/(2 - (-4) )

a = -3/6 = -1/2

Entonces nuestra línea es algo como:

y = (-1/2)*x + b

para encontrar el valor de b, usamos el hecho de que esta línea pasa por el punto (2, -3)

esto significa que cuando x = 2, tenemos que tener y = -3

reemplazando esos dos valores obtenemos

-3 = (-1/2)*2 + b

-3 = -1 + b

-3 + 1 = b

-2 = b

La ecuación que define a esta recta es:

y = -(1/2)*x  - 2

Nuevamente, el área de esta recta no está definida, por lo que no podemos calcular el área de esta recta.

Answer:

D. Both meals are healthful choices

Answer:

A

Step-by-step explanation:

Start with the 3.

You know that there is a difference of 4 between (say) 2 and 5. The 3 is a sign that the sequence is increasing.  The members of the sequence are going up.

n - 1 means that the nth terms is calculated as an and uses the number of terms to be n-1. That means that the first term is a1 which is the starting point of the sequence.

The answer is an = a1 + (n-1)*d

d = 3

a1 = - 7

So let's try the formula out.

a4 = -7 + (4 - 1)*3

a4 = -7 + 3 * 3

a4 = -7 + 9

a4 = 2

Is 2 the 4th term in the series? Yes it is!

Answer:

the answer is rotation hope it helps ahhaha

Answer:

C. 1170 miles per 18 hours

D. 455 miles per 7 hours

Step-by-step explanation:

1170/18=65

455/7=65