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Ludmilka [50]
3 years ago
8

Write a word problem for the equation 3/4•1/2=3/8

Mathematics
1 answer:
Aleksandr [31]3 years ago
8 0
Jessica is baking cookies for a bake sale and needed 3/4 cups of flower in the original recipe. Jessica's mom later found out that there wouldn't be as many guests so Jessica cut the recipe in half and needs half of the original amount of flour. Jessica now needs 3/8 cups of flour.
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If y= 3x + 6, what is the minimum value of (x^3)(y)?
Rainbow [258]

Answer:

Given the statement: if y =3x+6.

Find the minimum value of (x^3)(y)

Let f(x) = (x^3)(y)

Substitute the value of y ;

f(x)=(x^3)(3x+6)

Distribute the terms;

f(x)= 3x^4 + 6x^3

The derivative value of f(x) with respect to x.

\frac{df}{dx} =\frac{d}{dx}(3x^4+6x^3)

Using \frac{d}{dx}(x^n) = nx^{n-1}

we have;

\frac{df}{dx} =(12x^3+18x^2)

Set \frac{df}{dx} = 0

then;

(12x^3+18x^2) =0

6x^2(2x + 3) = 0

By zero product property;

6x^2=0   and 2x + 3 = 0

⇒ x=0 and x = -\frac{3}{2} = -1.5

then;

at x = 0

f(0) = 0

and  

x = -1.5

f(-1.5) = 3(-1.5)^4 + 6(-1.5)^3 = 15.1875-20.25 = -5.0625


Hence the minimum value of (x^3)(y) is, -5.0625






3 0
3 years ago
What is the length of side AB of parallelogram ABCD?<br> units<br> 4g - 8<br> B<br> q+4
Andrews [41]

Answer:

8 units

Step-by-step explanation:

» <u>Concepts</u>

Parallelogram Side Theorem states that the opposite sides of a parallelogram are congruent, meaning they have the same length.

» <u>Application</u>

In this case, we're asked to apply the theorem to find the value of q and then find the length of AB. Thus, we have to set up the equation 4q - 8 = q + 4.

» <u>Solving</u>

Step 1: Subtract q from both sides.

  • 4q-8-q=q+4-q
  • 3q-8=4

Step 2: Add 8 to both sides.

  • 3q-8+8=4+8
  • 3q=12

Step 3: Divide both sides by 3.

  • 3q/3 = 12/3
  • q=4

Step 4: Plug in the value of q for side AB.

  • 4(4)-8
  • 16-8
  • 8

Therefore, the answer is 8 units.

6 0
2 years ago
What is three over two x plus three equal to zero
nataly862011 [7]

QUESTION → \frac{3}{2}x + 3 = 0

Start by subtracting 3 from both sides to get \frac{3}{2}x = -3.

Now multiply both sides by the reciprocal of 3/2, which is 2/3.

On the left, we have x, and on the right, -3(2/3) is -2.

So we have x = -2.

7 0
3 years ago
Read 2 more answers
Rewrite expression as a single power<img src="https://tex.z-dn.net/?f=6%5E%7B4%7D%2A%206%5E%7B4%7D" id="TexFormula1" title="6^{4
victus00 [196]

Answer:

6^8

Step-by-step explanation:

6^4 * 6^4

We know that a^b * a^c = a^( b+c)

6^(4+4)

6^8

5 0
3 years ago
Read 2 more answers
B) State a valid formula for multiplying out (A + B)(A − B)
Diano4ka-milaya [45]

(A+B)(A-B) = A^2-B^2.

It's equality constant

8 0
3 years ago
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