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choli [55]
3 years ago
9

I have been stuck on these 2 questions for 10 minutes!​

Mathematics
1 answer:
yanalaym [24]3 years ago
4 0
The answers are:

13. |3y|=9, y<0

14. |x|=2, x>0
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Factor X^3-7x^2-5x+35 by grouping. What is the resulting expression
WARRIOR [948]

Answer:

(x-7) (x^2-5)

Step-by-step explanation:

x^3-7x^2-5x+35

Factor out an x^2 from the first two terms and -5 from the last 2 terms

x^2 (x-7) -5(x-7)

Factor out (x-7)

(x-7) (x^2-5)

5 0
3 years ago
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Consider the system of linear equations and the matrix equations below.
gregori [183]

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

Using Cramer's rule, the value of x is ...

  x=\dfrac{\left|\begin{array}{cc}2&3\\22&-2\end{array}\right|}{\left|\begin{array}{cc}-1&3\\4&-2\end{array}\right|}

  x = ((2)(-2) -(22)(3))/((-1)(-2) -(4)(3)) = (-4-66)/(2-12) = -70/-10

  x = 7

4 0
3 years ago
Identify all values, if any, in the data set that would be considered outliers when creating a modified boxplot. 4 5 7 9 10 10 1
matrenka [14]

Answer:

31

Step-by-step explanation:

 

5 0
3 years ago
Can you help me create a polynomial function matching the criteria on the left please and thanks
Olenka [21]

Answer:

f(x) = \dfrac{1}{8}(x + 4)^2(x + 1)(x - 3)

Step-by-step explanation:

From inspection of the graph, we can see that the curve intercepts the x-axis at (-4, 0), (-1, 0) and (3, 0)

Therefore,

x = -4 ⇒ x + 4 = 0

x = -1 ⇒ x + 1 = 0

x = 3 ⇒ x - 3 = 0

Because (-4, 0) touches the x-axis, then (x + 4)² will be a factor

So (x + 4)², (x + 1) and (x - 3) are all factors of the polynomial

\implies f(x) = \dfrac{1}{n}(x + 4)^2(x + 1)(x - 3)

If we multiply the constants, this will give us the y-intercept:

⇒ 4² x 1 x -3 = -48

From inspection of the graph, the y-intercept is -6

So to get from -48 to -6 we need to multiply -48 by 1/8

Therefore, n = 1/8

\implies f(x) = \dfrac{1}{8}(x + 4)^2(x + 1)(x - 3)

7 0
2 years ago
Read 2 more answers
Rewrite in simplest rational exponent form √x • 4√x. Show each step of your process.
Vikentia [17]

Step-by-step explanation:

=  \sqrt{x} .4 \sqrt{x}

=  {x}^{ \frac{1}{2} }  \times 4 {x}^{ \frac{1}{2} }

= 4 {x}^{ \frac{1}{2} +  \frac{1}{2}  }

= 4 {x}^{ \frac{2}{2} }

= 4 {x}^{1}

= 4x

4 0
2 years ago
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