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tensa zangetsu [6.8K]
3 years ago
12

Solve –3x^2 – 4x – 4 = 0

Mathematics
2 answers:
vredina [299]3 years ago
8 0
<span> 3x^2 – 4x – 4 = 0

</span>

<span>multiply the first coefficient by the last coefficient: </span>

<span>3 x -4= -12 </span>

<span>Now think, what adds to the 2nd coefficient (-4) and multiplies to -12? </span>

<span>-6 and 2 </span>

<span>rewrite your equation: </span>

<span>3x^2 - 6x + 2x - 4 <==== this is essentially the same equation </span>


<span>now split it... </span>

<span>3x^2 - 6x </span>

<span>AND </span>

<span>2x -4 </span>

<span>factor each one so that both share a common factor: </span>

<span>3x(x-2) </span>

<span>AND </span>

<span>2(x-2) </span>

<span>Now combine them: </span>

<span>(3x+2)(x-2) </span>

raketka [301]3 years ago
4 0
-3x^2-6x+2x-4 =-3x (x-2)+2 (x-2) =(-3x+2)(x-2) -3x+2=0 X=2/3 X-2=0 X=2 Hope it helps! !!!!
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Write the equation of a line Parallel to the given line and passes through points (-4, -3); (2, 3). Hints find the slope by usin
julia-pushkina [17]

First, we obtain the gradient (slope) of the first parallel line

\text{gradient, m}_1\text{ = }\frac{y_2-y_1}{x_2-x_1}\text{ = }\frac{3-(-3)}{2-(-4)}=\frac{6}{6}\text{ = 1}

Recall that since both lines are parallel, we have that,

m_1=m_2

Thus

m_2\text{ = 1}

Hence, we can find the equation of the parallel line given that it passes through the points (-4, -3)

Using

\begin{gathered} y\text{ = mx + c} \\ \text{where m = m}_2\text{ = 1} \\ \text{and x = -4 ,  y = -3, we have} \\ -3\text{ = 1(-4) + c} \\ -3\text{ = -4 + c} \\ 4\text{ - 3 = c} \\ c\text{ = 1} \\ \text{Thus, the equation of the line is y = (1)x + 1} \\ y\text{ = x + 1} \end{gathered}

5 0
1 year ago
What’s the correct answer for this question?
weqwewe [10]

Answer:

Last answer choice

Step-by-step explanation:

The AAS congruence theorem uses two adjacent angles, followed by a side length on the side (not in between the angles.) Therefore, the first answer is ruled out (because it deals with angles and not sides), and the second answer is ruled out because it involves side lengths between angles. LP=MO may be true, but it does not compare the two triangles that we are interested in. However, the last answer choice is correct, because a midpoint divides a line exactly in half, meaning that both halves are the same length and therefore congruent. Therefore, the last answer choice is correct. Hope this helps!

7 0
3 years ago
Use the quadratic function f(x) = 2x^2 + 4x - 15. Find any x intercepts.
8_murik_8 [283]

So for this function we will be using the quadratic formula, which is x=\frac{-b+\sqrt{b^2-4ac}}{2a},\frac{-b-\sqrt{b^2-4ac}}{2a} , to solve. a = x^2 coefficient, b = x coefficient, and c = constant. Using our equation, we can solve for the zeros (x-intercepts) as such:

x=\frac{-4+\sqrt{4^2-4*2*(-15)}}{2*2},\frac{-4-\sqrt{4^2-4*2*(-15)}}{2*2}\\ \\ x=\frac{-4+\sqrt{16-(-120)}}{4},\frac{-4-\sqrt{16-(-120)}}{4}\\ \\ x=\frac{-4+\sqrt{136}}{4},\frac{-4-\sqrt{136}}{4}\\ \\ x=1.92,-3.92

In short, your x-intercepts (rounded to the hundredths) are (1.92,0) and (-3.92,0).

6 0
4 years ago
Suppose you were to draw all possible samples of size 36 from a large population with a mean of 650 and a standard deviation of
Lady_Fox [76]

Answer:

By the Central Limit Theorem, it is approximately normal with mean 650 and standard deviation 4.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 650 and a standard deviation of 24.

This means that \mu = 650, \sigma = 24.

Sample of 36:

This means that n = 36, s = \frac{24}{\sqrt{36}} = 4

What is the shape of the sampling distribution you would expect to produce?

By the Central Limit Theorem, it is approximately normal with mean 650 and standard deviation 4.

7 0
3 years ago
K/7 ​+ 3 − 2k = −3<br> Explain how to solve the problem. SHOW YOUR WORK!
Vesna [10]

Answer: 42/13

Step-by-step explanation:  Multiply everything by 7 to eliminate the fraction:

k+ 21 - 14k = -21

Isolate the variable:

k - 14k = -21-21

13k= -42

divide the sides by -13.

42/13

8 0
3 years ago
Read 2 more answers
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