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laiz [17]
2 years ago
6

Select the correct answer from each drop-down menu.

Mathematics
2 answers:
Romashka-Z-Leto [24]2 years ago
5 0

Answer:

Step-by-step explanation:

Equation

y = 6x^2 + 5x - 6

Solution

This will factor, but it will take a bit of doing.

First we can try some factors using just 2s and 3s and see what happens.

(3x   2)(2x   3) This looks promising. We must get 5 as the middle term.

6x^2  9x  4x   6 The 9 and 4 must have opposite signs and come to 5.

Since it is plus 5x in the middle, the 9x must be plus and 4x is minus. When put together, they will  get 5x.

(3x - 2)(2x + 3)

that works. So the

answer is  y = (3x - 2)(2x + 3)

Aleks [24]2 years ago
3 0

Answer:

6x^2+5x-6=(3x-2)(2x+3)

Step-by-step explanation:

<u>Given expression</u>:

6x^2+5x-6

To factor a quadratic in the form ax^2+bx+c, first find two numbers that multiply to ac and sum to b:

\implies ac=6 \cdot -6=-36

\implies b=5

Two numbers that multiply to -36 and sum to 5 are: 9 and -4

Rewrite b as the sum of these two numbers:

\implies 6x^2+9x-4x-6

Factorize the first two terms and the last two terms separately:

\implies 3x(2x+3)-2(2x+3)

Factor out the common term (2x + 3):

\implies (3x-2)(2x+3)

Therefore:

6x^2+5x-6=(3x-2)(2x+3)

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Find the slope of the line passing through the points (5, 7) and (5, -9)​
Fantom [35]

Answer:

undefined

Step-by-step explanation:

To find the slope, we can use the slope formula

m = (y2-y1)/(x2-x1)

   = (-9-7)/(5-5)

   = (-16)/0

When we divide by zero, the slope is undefined

7 0
2 years ago
What is 5/8-1 7/8. ​
vlada-n [284]

Answer:

-10/8

Step-by-step explanation:

1 and 7/8 = 15/8

5/8 - 15/8= -10/8

4 0
3 years ago
Which quadratic equation is equivalent to (x + 2)^2 + 5(x + 2) - 6 = 0?
Ber [7]

Answer:

x^2 + 9x + 8 = 0

Step-by-step explanation:

First, we have to simplify this quadratic equation:

(x+2)^2 + 5(x+2) - 6 = 0

x^2 + 4x + 4 + 5x + 10 - 6 = 0

x^2 + 9x + 8 = 0

5 0
2 years ago
The axis of symmetry for the function f(x)=-2x^2+4x+1 is the line x=1 where it's the vertex of the function located
vodomira [7]
Vertex has the coordinate (1;3)

8 0
3 years ago
Read 2 more answers
The authors of a paper concluded that more boys than girls listen to music at high volumes. This conclusion was based on data fr
schepotkina [342]

Answer:

Since the calculated value of z= 2.82  does not lie in the critical region  the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.

The value of p is 0 .00233. The result is significant at p < 0.10.

Step-by-step explanation:

1) Let the null and alternate hypothesis be

H0:  μboys − μgirls > 0

against the claim

Ha: μboys − μgirls ≤ 0

2) The significance level is set at 0.01

3) The critical region is z  ≤  ± 1.28

4) The test statistic

Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]

Here p1= 397/768= 0.5169  and p2= 331/745=0.4429

pc = 397+331/768+745

pc= 0.4811

qc= 1-pc= 1-0.4811=0.5188

5) Calculations

Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]

z= 0.5169-0.4429/√ 0.4811*0.5188( 1/768+  1/745)

z= 2.82

6) Conclusion

Since the calculated value of z= 2.82  does not lie in the critical region  the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.

7)

The value of p is 0 .00233. The result is significant at p < 0.10.

8 0
2 years ago
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