MATHEMATICS HIGH SCHOOL

Sophia is making tomato sauce. She adds 12 grams of her secret ingredient to each liter of sauce she prepares. If she has 4 grams of her secret ingredient, how many liters of sauce can she make?​

Answers

Answer 1
Answer:

Answer:

(1)/(3)liter

Step-by-step explanation:

To make her tomato sauce,

  Sophia adds 12g to 1 liter of sauce;

Let us find the;

  liter of sauce per gram of ingredient = (1)/(12)liter/gram

Now;

  liters of sauce required to make 4grams

   liter of sauce  = 4g x  (1)/(12)liter/g =(1)/(3)liter

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The system of inequalities below describes the relationship between Cori’s age, C, and Livy’s age, L. DOK 2C + L > 43 C - 4L < 3 Which of the following could be the ages of Cory and Livy? Livy could be 13 years old, and Cori could be 35 years old. Livy could be 15 years old, and Cori could be 28 years old. Livy could be 33 years old, and Cori Could be 10 years old. Livy could be 20 years old, and Cori could be 85 years old.
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F(x)=-x+4 and g(x)=-2x-3 solve for f(g(x)) x=2

Factor the left hand side of the equation into two or more factors 16x^4-121x^2=0

To the fourth power^4
Squared^2

Cimpletly lost help me figure this out please

Answers

                                    16x⁴ - 121x² = 0
                            x²(16x²) - x²(121) = 0
                                  x²(16x² - 121) = 0
               x²(16x² + 44x - 44x - 121) = 0
x²(4x(4x) + 4x(11) - 11(4x) - 11(11)) = 0
            x²(4x(4x + 11) - 11(4x + 11)) = 0
                          x²(4x - 11)(4x + 11) = 0
    x² = 0  or  4x - 11 = 0  or  4x + 11 = 0
√(x²) = √(0)      + 11 + 11            - 11 - 11
      x = 0     or     4x = 11     or     4x = -11
                            4      4               4       4
                             x = 2³/₄     or      x = -2³/₄

Solution Set: {0, ±2³/₄}

If h(x) = x − 1 and j(x) = −4x, solve h[j(5)] and select the correct answer below.−21
−20
−19
−16

Answers

Answer:

Option A is correct

h[j(5)] = -21

Step-by-step explanation:

Given the functions:

h(x) = x-1 and

j(x) = -4x

Find the value of h[j(5)]

h[j(x)]

⇒h[-4x]

Replace x with -4x in h(x) we have;

h[j(x)] = -4x-1

Substitute x = 5 we have;

h[j(5)] = -4(5)-1

⇒h[j(5)] = -20-1=-21

Therefore, the value of h[j(5)] is, -21
-21. J(x)= -4(5)= -20 ; H[J(5)]= -20-1 = -21

What number should both sides of the following equation be divided by to solve for x?(6.4)x = 32

4
6.4
6
5

Answers

In algebraic equations, it is easier to solve for an unknown term when that term is being isolated on one side of the equation. In the given equation, the unknown term "x" is not isolated because it is being multiplied by 6.4. To solve for x, it is essential to divide both sides by 6.4 to isolate x. It is shown as follows:

6.4x = 32

Dividing both sides by 6.4:
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x = 5

Therefore, 6.4 should be divided to both sides to solve for x.

Apples cost $1.62 per pound, and bananas cost $0.48 per pound. What is the total cost for 2 1/2 pounds of apples and 1 1/3 pounds of bananas?$3.77

Answers

Answer:

$4.69

Step-by-step explanation:

$1.62/lb×2.5=$4.05

$0.48/lb×11/3=$0.64

$4.05+$0.64=$4.69

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Answers

1 foot = 12 inches

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Answers

When you have a quadratic in the form ax² + bx + c = 0, you can solve for x using the quadratic formula, which is as follows:
x=(-b\pm√(b^2-4ac))/(2a)
In this case, a = 2, b = -2, and c = -1. Let's plug these in.
x=\frac{-(-2)\pm√((-2)^2-4(2)(-1)){2(2)}
Simplify...
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x=\frac{2\pmsqrt{12}}4

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x=\frac{2\pm2√(3)}4

x=\frac{1\pm√(3)}2

\boxed{x=\frac{1+√(3)}2\ or\ \frac{1-√(3)}2}
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x = -(-2) ± √((-2)² - 4(2)(-1))
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x = 2 ± √(4 + 8)
              4
x = 2 ± √(12)
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x = 2 ± 2√(3)
            4
x = 1 ± √(3)
           2
x = 1 + √(3)    U    x = 1 - √(3)
           2                          2
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