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crimeas [40]
3 years ago
10

Solve the inequality 16 > -2u

Mathematics
2 answers:
Ksju [112]3 years ago
8 0
To solve this inequality, you need to isolate the value of u. To do this, divide both sides by -2. When you do this, keep in mind that when you divide or multiply both sides by a negative in an inequality, you MUST flip the sign, so your answer would be -8 < u or u > -8.
Nana76 [90]3 years ago
4 0
U> -8 is your answer.

Solve by simplifying both sides of the inequality, then isolate the variable.
You might be interested in
Boa tarde gentiii Abaixo aparecem quatro sequências. Defina cada uma delas como RECURSIVA ou NÃO RECURSIVA. a) (5, 7, 9, 11, 13,
marusya05 [52]

Answer:

a) (5, 7, 9, 11, 13, 15, 17, 19, ...) Recursivo

b) (1, 4, 9, 16, 25, 36, 49, 64, ...) Recursivo

c) (1, 8, 27, 64, ...) Recursivo

d) (2, 5, 8, 11, 14, 17, ...) Recursivo

Step-by-step explanation:

Uma função recursiva é aquela em que os termos subsequentes da função são calculados com base nos termos anteriores

O comportamento recursivo é exibido pelos objetos quando consiste em seguir as partes;

1) Uma base que é predefinida

2) Um processo ou etapa recursiva que produz termos subsequentes pela aplicação de certos processos

Para a série;

a) (5, 7, 9, 11, 13, 15, 17, 19, ...)

Aqui 5 é a base e os termos subsequentes são encontrados adicionando 2 ao termo anterior, portanto, é uma função recursiva

aₙ = aₙ₋₁ + 2

b) (1, 4, 9, 16, 25, 36, 49, 64, ...)

Aqui 1 é a base e os termos subsequentes são encontrados ao quadrado da soma da raiz do termo anterior e 1, portanto, é uma função recursiva

aₙ = (√ (aₙ₋₁) + 1) ²

c) (1, 8, 27, 64, ...)

Aqui 1 é a base e os termos subsequentes são encontrados elevando à potência de três a soma da raiz cúbica do termo anterior e 1, portanto, é uma função recursiva

aₙ = (∛ (aₙ₋₁) + 1) ³

d) (2, 5, 8, 11, 14, 17, ...)

Aqui 2 é a base e os termos subsequentes são encontrados adicionando 3 ao termo anterior, portanto, é uma função recursiva.

7 0
3 years ago
Please help!!!! i will give max points i can
mixer [17]

Answer:

$9

Step-by-step explanation:

These are given:

Total = 22

Cost for shoes = 4

Total games played = 2

Cost per game (g)= ?

So,

22 = 4 + 2(g)

-4      -4

18 = 2g

divide by 2

9 = g

$9 per game

5 0
3 years ago
Read 2 more answers
Write the equation of a line that is perpendicular to y =3x-2 and that passes through the point(-9,5)
Oduvanchick [21]

Answer:

y = -1/3x + 8

Step-by-step explanation:

If two lines are perpendicular, the signs of the slope must be opposite and the slopes are reciprocals.

(basically if one is say -2/3, the other is 3/2. just flip it upside down)

So this slope is 3, so the new slope should be -1/3

The equation is now y = -1/3x + b

To find b, substitute (-9,5) in the equation

y = -1/3x + b

5 = -1/3(9) + b

5 = -3 + b

8 = b

So the equation is y = -1/3x + b

7 0
3 years ago
Read 2 more answers
What is the total area of the prism?
Pavlova-9 [17]
First we look for the area of the triangle which is given by:
 A = (1/2) * (4) * (6)
 A = 12 feet ^ 2
 Area of the rectangles:
 Rectangle 1:
 R1 = (4) * (8)
 R1 = 32 feet ^ 2
 Rectangle 2:
 R2 = (6) * (8)
 R2 = 48 feet ^ 2
 Rectangle 3:
 R3 = (root (6 ^ 2 + 4 ^ 2)) * (8))
 R3 = 57,68882041 feet ^ 2
 The total area will be:
 A = 2A + R1 + R2 + R3
 Substituting values:
 A = 2 * (12) + 32 + 48 + 57,68882041
 A = 161.6888204 feet ^ 2
 Answer:
 
The total area of the prism is:
 
A = 161.6888204 feet ^ 2
6 0
3 years ago
For which system of equations is (5, 3) the solution? A. 3x – 2y = 9 3x + 2y = 14 B. x – y = –2 4x – 3y = 11 C. –2x – y = –13 x
Alla [95]
The <u>correct answer</u> is:

D) \left \{ {{2x-y=7} \atop {2x+7y=31}} \right..

Explanation:

We solve each system to find the correct answer.

<u>For A:</u>
\left \{ {{3x-2y=9} \atop {3x+2y=14}} \right.

Since we have the coefficients of both variables the same, we will use <u>elimination </u>to solve this.  

Since the coefficients of y are -2 and 2, we can add the equations to solve, since -2+2=0 and cancels the y variable:
\left \{ {{3x-2y=9} \atop {+(3x+2y=14)}} \right. &#10;\\&#10;\\6x=23

Next we divide both sides by 6:
6x/6 = 23/6
x = 23/6

This is <u>not the x-coordinate</u> of the answer we are looking for, so <u>A is not correct</u>.

<u>For B</u>:
\left \{ {{x-y=-2} \atop {4x-3y=11}} \right.

For this equation, it will be easier to isolate a variable and use <u>substitution</u>, since the coefficient of both x and y in the first equation is 1:
x-y=-2

Add y to both sides:
x-y+y=-2+y
x=-2+y

We now substitute this in place of x in the second equation:
4x-3y=11
4(-2+y)-3y=11

Using the distributive property, we have:
4(-2)+4(y)-3y=11
-8+4y-3y=11

Combining like terms, we have:
-8+y=11

Add 8 to each side:
-8+y+8=11+8
y=19

This is <u>not the y-coordinate</u> of the answer we're looking for, so <u>B is not correct</u>.

<u>For C</u>:
Since the coefficient of x in the second equation is 1, we will use <u>substitution</u> again.

x+2y=-11

To isolate x, subtract 2y from each side:
x+2y-2y=-11-2y
x=-11-2y

Now substitute this in place of x in the first equation:
-2x-y=-13
-2(-11-2y)-y=-13

Using the distributive property, we have:
-2(-11)-2(-2y)-y=-13
22+4y-y=-13

Combining like terms:
22+3y=-13

Subtract 22 from each side:
22+3y-22=-13-22
3y=-35

Divide both sides by 3:
3y/3 = -35/3
y = -35/3

This is <u>not the y-coordinate</u> of the answer we're looking for, so <u>C is not correct</u>.  

<u>For D</u>:
Since the coefficients of x are the same in each equation, we will use <u>elimination</u>.  We have 2x in each equation; to eliminate this, we will subtract, since 2x-2x=0:

\left \{ {{2x-y=7} \atop {-(2x+7y=31)}} \right. &#10;\\&#10;\\-8y=-24

Divide both sides by -8:
-8y/-8 = -24/-8
y=3

The y-coordinate is correct; next we check the x-coordinate  Substitute the value for y into the first equation:
2x-y=7
2x-3=7

Add 3 to each side:
2x-3+3=7+3
2x=10

Divide each side by 2:
2x/2=10/2
x=5

This gives us the x- and y-coordinate we need, so <u>D is the correct answer</u>.
7 0
3 years ago
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