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Oduvanchick [21]
3 years ago
5

5. Write an inequality that represents the phrase "the sum of twice a number and four is at least sixteen".

Mathematics
1 answer:
lesya [120]3 years ago
7 0

Answer:

x>5andx≤9

Step-by-step explanation:

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Find the square roots of the following numbers. Give the steps correctly.
Novay_Z [31]

Answer:

the sqare root of 19.9 is 4.46094160464

3 0
3 years ago
$800 principal earning 7%, compounded annually, after 4 years
xz_007 [3.2K]
800(1+7)∧4
it will be $1048.63
4 0
3 years ago
Calculate the following derivative if <br> f(x) = sin(x)<br> and <br> g(x) = 5x + 4.
gayaneshka [121]

Answer:

Rewrite the function as an equation.

y

=

5

x

−

4

Use the slope-intercept form to find the slope and y-intercept.

Tap for fewer steps...

The slope-intercept form is  

y

=

m

x

+

b

, where  

m

is the slope and  

b

is the y-intercept.

y

=

m

x

+

b

Find the values of  

m

and  

b

using the form  

y

=

m

x

+

b

.

m

=

5

b

=

−

4

The slope of the line is the value of  

m

, and the y-intercept is the value of  

b

.

Slope:  

5

y-intercept:  

−

4

Any line can be graphed using two points. Select two  

x

values, and plug them into the equation to find the corresponding  

y

values.

Tap for fewer steps...

Choose  

1

to substitute in for  

x

to find the ordered pair.

Tap for fewer steps...

Replace the variable  

x

with  

1

in the expression.

f

(

1

)

=

5

(

1

)

−

4

Simplify the result.

Tap for more steps...

1

The  

y

value at  

x

=

1

is  

1

.

y

=

1

Choose  

0

to substitute in for  

x

to find the ordered pair.

Tap for fewer steps...

Replace the variable  

x

with  

0

in the expression.

f

(

0

)

=

5

(

0

)

−

4

Simplify the result.

Tap for more steps...

−

4

The  

y

value at  

x

=

0

is  

−

4

.

y

=

−

4

Create a table of the  

x

and  

y

values.

x

y

0

−

4

1

1

Graph the line using the slope and the y-intercept, or the points.

Slope:  

5

y-intercept:  

−

4

x

y

0

−

4

1

1

Step-by-step explanation:

8 0
3 years ago
Solve the system of equations using row operations. Write your answer in the form (x, y).
Sonja [21]

Answer:

(5, - 4 )

Step-by-step explanation:

Given the 2 equations

2x + 3y = - 2 → (1)

3x - y = 19 → (2)

Multiplying (2) by 3 and adding to (1) will eliminate the y- term

9x - 3y = 57 → (3)

Add (1) and (3) term by term to eliminate y

(2x + 9x) + (3y - 3y) = (- 2 + 57), that is

11x = 55 ( divide both sides by 5 )

x = 5

Substitute x = 5 into either of the 2 equations and solve for y

Substituting into (1)

2(5) + 3y = - 2

10 + 3y = - 2 ( subtract 10 from both sides )

3y = - 12 ( divide both sides by 3 )

y = - 4

Solution is (5, - 4 )

8 0
3 years ago
En una hoja de papel cuyo perímetro es de 96 centímetros, se quiere imprimir un volante de manera que el área impresa sea un rec
elixir [45]

Answer:

El perímetro de la región impresa es 72 cm y su área es 288 cm².  

Step-by-step explanation:

1. Tenemos el perímetro de la hoja de papel:

P₁ = 96 cm = 2l₁ + 2a₁  (1)  

Como sabemos el margen superior, inferior, izquierdo y derecho podemos encontrar la relación entre el largo y ancho del rectángulo interno (región impresa) con el largo (l) y ancho (a) del rectángulo externo (hoja de papel):      

l_{2} = l_{1} - (m_{s} + m_{i}) = l_{1} - (3 cm + 2 cm) = l_{1} - 5 cm  (2)            

a_{2} = a_{1} - (m_{d} + m_{iz}) = a_{1} - (2 cm + 5 cm) = a_{1} - 7 cm   (3)    

El perímetro del rectángulo interno es:

P_{2} = 2l_{2} + 2a_{2}    (4)

Introduciendo la ecuación (2) y (3) en (4):

P_{2} = 2l_{2} + 2a_{2} = 2(l_{1} - 5 cm) + 2(a_{1} - 7 cm) = 2l_{1} + 2a_{1} - 10 cm - 14 cm = 96 cm - 24 cm = 72 cm  

Por lo tanto el perímetro del rectángulo interno (región impresa) es 72 cm.

 

2. Ahora para encontrar el área rectángulo interno debemos encontrar el largo y ancho del mismo, sabiendo que:

l_{2} = 2a_{2}     (5)

Introduciendo (5) en (4):

P_{2} = 2l_{2} + 2a_{2} = 2*2a_{2} + 2a_{2} = 6a_{2}

a_{2} = \frac{P_{2}}{6} = \frac{72 cm}{6} = 12 cm

l_{2} = 2a_{2} = 2*12 cm = 24 cm

Entonces el área es:

A_{2} = l_{2}*a_{2} = 12 cm*24 cm = 288 cm^{2}

Por lo tanto el área del rectágulo interno (región impresa) es 288 cm².      

Espero que te sea de utilidad!  

7 0
3 years ago
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