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3 years ago

Evaluate 3/2y-3+5\3 z when y =6 and z =3.

Mathematics

1 answer:

agasfer [191]3 years ago

6 0

Answer:

49/4 or 12.25

Step-by-step explanation:

+ We replace y= 6 and z= 3 into this expression: 3/2y-3+5\3 z

+ We find that: $3/2y-3+5\3 z= \frac{3}{2*6} -3+5*3= \frac{1}{4} -3+15 = \frac{1}{4} +12=\frac{49}{4} = 12.25$

The answer is 49/4 or 12.25

Have a good day.

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If 3t-7=5t, then 6t#

Inessa05 [86]

Here, 3t - 7 = 5t
5t - 3t = -7
2t = -7
t = -7/2

Then, 6t = 6(-7/2) = 3(-7) = -21

In short, Your Answer would be -21

Hope this helps!

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3 years ago

02.06A LC) Which number is not in scientific notation? 02.06A

Pavlova-9 [17]

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3 years ago

For what values of x does the curve y^2x^3-15x^2=4 have horizontal tangent lines

enyata [817]

We have the following curve:<span>

$y^2x^3-15x^2=4$

To find the tangent lines to the curve we need to use the concept of derivative, but we can’t solve this problem for $y$ , thus, let's apply implicit differentiation, so:

$\frac{d}{dx}(y^2x^3-15x^2=4) \\ \\
\frac{d}{dx}(y^2x^3)-\frac{d}{dx}(15x^2)=\frac{d}{dx}(4) \\ \\
(y^{2})'x^3+(x^3)'y^2-15(x^2)'=0 \\ \\ 2yy'x^3+3x^2y^2-30x=0 \\ \\
y'=\frac{dy}{dx}=\frac{30x-3x^2y^2}{2x^3y}=\frac{x(30-3xy^2)}{2x^3y} \\ \\
y'=\frac{30-3xy^2}{2x^2y}$

Therefore the horizontal lines occurs when $y'=0$ , then:

$\frac{30-3xy^2}{2x^2y}=0 \\ \\ That \ is, \
when: \\ \\ 30-3xy^2=0 \\ \\ \therefore xy^2=10 \rightarrow y^2=\frac{10}{x}$

If we substitute this in the original equation we have:

$\frac{10}{x}x^3-15x^2=4 \\ \\ \therefore
10x^2-15x^2=4 \\ \\ \therefore x^2=-\frac{4}{5}$

This is an absurd result because it is impossible for a squared number to get a negative number. So the conclusion is that there is no any value of $x$ in which the curve has horizontal tangent lines.</span>

8 0

3 years ago

Write the equation that represents the situation.<br><br> Mary purchased 12 candy bars for $14.04

Nookie1986 [14]

Happy Pride Month!

Answer:

12c=$14.04

Step-by-step explanation:

First lets find out how much each candy bar cost

14.04/12=1.17

$1.17*12 = $14.04

so d is the correct answer becuase you would need to multiply the cost of each candy which would be $1.17 by how many candy bars you have which is 12 then get the answer of the total cost that would be $14.04

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3 years ago

Read 2 more answers

Will someone help me please? I'll mark you brainliest! I promise!

Katena32 [7]

Answer:

I will say d. because the GCF is 2 for 4x2y and 6x2y3

Step-by-step explanation:

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3 years ago