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densk [106]
3 years ago
8

Evaluate 5x²-3(x-2)+x for x=3​

Mathematics
1 answer:
Zepler [3.9K]3 years ago
3 0

Answer:

45

Step-by-step explanation:

Evaluate 5 x^2 - 3 (x - 2) + x where x = 3:

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

3^2 = 9:

5×9 - 3 (3 - 2) + 3

3 - 2 = 1:

5×9 - 3 + 3

5×9 = 45:

45 - 3 + 3

45 + 3 = 48:

48 - 3

| 4 | 8

- | | 3

| 4 | 5:

Answer:  45

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What is the inverse of the function g(x)=-\dfrac{2}{3}x-5g(x)=− 3 2 ​ x−5g, left parenthesis, x, right parenthesis, equals, minu
Semenov [28]

Answer:

g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}

Step-by-step explanation:

Given function,

g(x) = -\frac{2}{3}x-5

Step 1 : Replace g(x) by y:

y = -\frac{2}{3}x-5

Step 2 : Swap x and y:

x = -\frac{2}{3}y-5

Step 3 : Solve the equation for y ( isolate y in the left side ):

x +\frac{2}{3}y=-5

     \frac{2}{3}y=-5-x

      y=\frac{3}{2}(-5-x)

      y=-\frac{15}{2}-\frac{3}{2}x

      y=-\frac{3}{2}x-\frac{15}{2}

Step 4: Replace y by g^{-1}(x):

g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}

Hence, the inverse of the function g(x) is g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}.

8 0
3 years ago
Please help for number 8 I don't understand.
Ksju [112]

Answer:

8a. x = 16√3

8b. y = 8√3

Step-by-step explanation:

8a. Determination of the value of x

Adjacent = 24

Hypothenus = x

Angle θ = 30°

The value of x can be obtained by using cosine ratio as illustrated below:

Cos θ = Adjacent /Hypothenus

Cos 30 = 24 / x

√3/2 = 24/x

Cross multiply

x × √3 = 2× 24

x × √3 = 48

Divide both side by √3

x = 48/√3

Rationalise

x = 48/√3 × √3/√3

x = 48√3 / √3 × √3

x = 48√3 / 3

x = 16√3

8b. Determination of the value of y

Opposite = y

Adjacent = 24

Angle θ = 30°

The value of y can be obtained by using Tan ratio as illustrated below:

Tan θ = Opposite / Adjacent

Tan 30 = y / 24

1 / √3 = y /24

Cross multiply

y × √3 = 1 × 24

y × √3 = 24

Divide both side by √3

y = 24 /√3

Rationalise

y = 24 /√3 × √3/√3

y = 24 ×√3 / √3 × √3

y = 24√3 / 3

y = 8√3

8 0
2 years ago
The table shows the number of cups of water required when cooking different amounts of rice. Amount of Rice (cups) Amount of Wat
Ugo [173]
<span>Amount of Rice (cups) Amount of Water (cups)
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So, as the ratio of water ot rice is constant, and the first variable is the amount of rice, you can calculate the amount of water given the amount of rice.

So, the amount of rice is independent value and the amount of water is dependent (it depends on the amount of rice).

The amount of rice is the dependent value. FALSE
The amount of water is the dependent value.TRUE
The amount of rice is the independent value. TRUE
The amount of water is the independent value.</span>FALSE
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