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Natali [406]
3 years ago
11

4/3 x −4 = 5 + x Help me please!

Mathematics
2 answers:
Soloha48 [4]3 years ago
3 0

Answer:

The answer is D.

Step-by-step explanation:

4/3 x - 4 = 5 + x

4/3 x = 9 +x

1/3 x = 9

x = 27

maks197457 [2]3 years ago
3 0
D) 27

4/3(27) - 4 = 32
27 + 5 = 32
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17. The sides of a rectangle are in the ratio of 5 : 4. If its perimeter is 144 cm,
Korolek [52]

Answer:

Option A

Step-by-step explanation:

Let,

Length = 5x

Breadth = 4x

Perimeter = 2(l + b)

=> 144 = 2(5x + 4x)

=> 144 = 2(9x)

=> 144 = 18x

=> 144/18 = x

=> 8 = x

Therefore,

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3 years ago
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So firstly, subtract x on both sides: -2y=-x+3


Next, divide -2 on both sides, and your answer will be y = 1/2x - 3/2 , or the last option.

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Write the function ????(x) = −2x^2 − 20x − 53 in completed-square form. Describe the transformations of the graph
siniylev [52]

Answer:

The graph of parent function reflected across x-axis, vertically stretched by factor 2 and shift 5 units left 3 units down.

Step-by-step explanation:

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g(x)=-2(x^2+10x)-53

If an expression is x^2+bx, then we have to add (\frac{b}{2})^2 in it to make it perfect square.

In the parenthesis the value of b is 10.

(\frac{10}{2})^2=5^2=25

Add and subtract 25 in the parenthesis.

g(x)=-2(x^2+10x+25-25)-53

g(x)=-2(x^2+10x+25)-2(-25)-53

g(x)=-2(x+5)^2+50-53

g(x)=-2(x+5)^2-3

g(x)=-2f(x+5)-3 .... (1)

The translation is defined as

g(x)=kf(x+a)+b                .... (2)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<|k|<1, then the graph compressed vertically by factor k and if |k|>1, then the graph stretch vertically by factor k.

Negative k represents the reflection across x-axis.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

From (1) and (2) it is clear that k=-2, a=5 and b=-3.

It means graph of parent function reflected across x-axis, vertically stretched by factor 2 and shift 5 units left, 3 units down.

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4 years ago
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