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eimsori [14]
2 years ago
6

HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME

Mathematics
1 answer:
TiliK225 [7]2 years ago
5 0

Answer:

Step-by-step explanation:

First, you want to do inverse operations like I said on the last equation

Just divide  -4 with 64

You have to flip the inequality sign because you divided by a negative

Answer: g ≥ -16

Now what is greater than or equal to  -16?

Answer =  

-16

-11

-6

-13

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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
Find the distance points p (3,6) and q (7,3) to the nearest tenth?
Vladimir79 [104]
<h3>Answer: 5</h3>

=========================================================

One method is to plot the points P(3,6) and Q(7,3) on the same xy grid.  Plot a third point R at (3,3). See the diagram below.

A right triangle forms in which we can find the legs PR = 3 and RQ = 4. The hypotenuse is found through the pythagorean theorem.

a^2+b^2=c^2

3^2+4^2 = c^2

9+16 = c^2

c^2 = 25

c = sqrt(25)

c = 5

This is the length of PQ

-----------------------------------

Or you can use the distance formula which is effectively using the pythagorean theorem just in a slightly different format (though it may not be obvious).

d = \text{Distance from P to Q}\\\\d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(3-7)^2+(6-3)^2}\\\\d = \sqrt{(-4)^2+(3)^2}\\\\d = \sqrt{16+9}\\\\d = \sqrt{25}\\\\d = 5\\\\

8 0
4 years ago
Read 2 more answers
Using the inverse trig functions, find the measure of angle A to the nearest degree.
TEA [102]
1. 37 degree. A triangle has 180 there is a right angle 90 and then c is 53 which leaves 37 for a
6 0
3 years ago
Giải phương trình sau:<br> sinx=1/2
cupoosta [38]

Answer: \begin{bmatrix}\mathrm{Radians:}\:&\:x=\frac{\pi }{6}+2\pi n,\:x=\frac{5\pi }{6}+2\pi n\:\\ \:\mathrm{Degrees:}&\:x=30^{\circ \:}+360^{\circ \:}n,\:x=150^{\circ \:}+360^{\circ \:}n\end{bmatrix}

Step-by-step explanation:

\sin \left(x\right)=\frac{1}{2}

x=\frac{\pi }{6}+2\pi n,\:x=\frac{5\pi }{6}+2\pi

4 0
3 years ago
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Which object would have a mass of approximately 1,000 grams? A. book B. feather C. truck D. elephant
sp2606 [1]
Answer is book.................
6 0
4 years ago
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