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3 years ago

0.5X = -6What is the answer to this question?

Mathematics

2 answers:

ratelena [41]3 years ago

5 0

X=-6/0.5
X=-12
...................

alexgriva [62]3 years ago

4 0

The answer is -3 because a negative times a positive is always negative.

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qwelly [4]

21/72
then simplified
= 7/24

7 0

3 years ago

What are the intercepts for the equation? Select all that apply. x + y = 4 *

olchik [2.2K]

Answer:

y intercept (0, 4)

x intercept (4, 0)

I hope this is good enough:

3 0

3 years ago

3^x= 3*2^x solve this equation

kompoz [17]

In the equation

$3^x = 3\cdot 2^x$

divide both sides by $2^x$ to get

$\dfrac{3^x}{2^x} = 3 \cdot \dfrac{2^x}{2^x} \\\\ \implies \left(\dfrac32\right)^x = 3$

Take the base-3/2 logarithm of both sides:

$\log_{3/2}\left(\dfrac32\right)^x = \log_{3/2}(3) \\\\ \implies x \log_{3/2}\left(\dfrac 32\right) = \log_{3/2}(3) \\\\ \implies \boxed{x = \log_{3/2}(3)}$

Alternatively, you can divide both sides by $3^x$ :

$\dfrac{3^x}{3^x} = \dfrac{3\cdot 2^x}{3^x} \\\\ \implies 1 = 3 \cdot\left(\dfrac23\right)^x \\\\ \implies \left(\dfrac23\right)^x = \dfrac13$

Then take the base-2/3 logarith of both sides to get

$\log_{2/3}\left(2/3\right)^x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x \log_{2/3}\left(\dfrac23\right) = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(3^{-1}\right) \\\\ \implies \boxed{x = -\log_{2/3}(3)}$

(Both answers are equivalent)

8 0

3 years ago

If y = -x² + 14x + 7 , then x = 10 is a counterexample for which conjecture?

Misha Larkins [42]

Answer:

The correct answer is B

Step-by-step explanation:

If we plug in x=10 to the equation, we get y=47

Since y is positive, A is not an counterexample

Since y is a function of x, C is not an counterexample

Since the graph of y is a parabola, D is not an counterexample

Hope this helped and mark as brainliest!

6 0

3 years ago

How do you determine if the line segments are congruent

Gemiola [76]

You must calculate the length of the segments.

Suppose segments AB and CD
Being A (m, n), B (p, q) C(r,s) and D(t,u)
<span>
They are congruent if:

</span> $\boxed{(p-m)^2+(q-n)^2=(t-r)^2+(u-s)^2}$ <span>

</span>

4 0

3 years ago

Read 2 more answers