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4 years ago

15

One angle measures nine more than six times a number. A sequence of rigid motions maps the angle onto another angle that describ

ed as being 30 less than nine times the number. what is the measure of the angle in degrees?

1 answer:

prisoha [69]4 years ago

3 0

Answer:

Step-by-step explanation: one angle is 6x + 9 also equals to 9x -30

9x - 30 = 6x + 9

3x = 39, x = 13

Angle is 6×13+9 = 87

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3x^2+5x-28=0 solve this for me please

jok3333 [9.3K]

Answer:

x= 7/3

x=-4

Step-by-step explanation:

Use the quadratic formula

a= 3, b=5, c=-28

-5± $\sqrt{5^2-4*3(-28)}$

x= _________________

2.3

Simplfy

$x=\frac{-5+19}{6} \\x=\frac{-5-19}{6}$

8 0

3 years ago

His grandmother is sick, so Hassan is making a pot of bean soup to bring for dinner. The recipe calls for equal amounts of 3 kin

lions [1.4K]

Answer:

0.75 cup

Step-by-step explanation:

K + p + b = 2 1/4

K = p = b

Sence all beans are equal we can divide 2 1/4 by 3

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7 0

3 years ago

Video games sold: x

Nata [24]

Answer:

<u>The correct answer is D. 53x - 12</u>

Step-by-step explanation:

Let's find P(x), this way:

Profits = Revenue - Cost

Profit function = Revenue function - Cost function

P (x) = R (x) - C (x)

Replacing with the real values we have:

P (x) = 60x - (12 + 7x)

P (x) = 60x - 12 - 7x

P (x) = 53x - 12

<u>The correct answer is D. 53x - 12</u>

6 0

3 years ago

How to solve this question

VMariaS [17]

<span>The variance method is as follows.

-Sum the squares of the values in data set, and then divide by the number of values in data set
- From that, subtract the square of the mean (add all values and divide by number of values in the data set)

Our variance is

<span> $\displaystyle\sigma^2 = \frac{2^2 + 5^2 + m^2}{3} - \left(\frac{2 + 5 + m}{3}\right)^2$

Since variance has to be 14, we set $\sigma^2 = 14$ and solve for m

$14= \frac{4 + 25 + m^2}{3} - \left(\frac{7 + m}{3}\right)^2\ \Rightarrow \\ \\
14 = \frac{29}{3} + \frac{1}{3}m^2 - \frac{1}{9}(7+m)^2 \\ \\
14 = \frac{29}{3}+ \frac{1}{3}m^2 - \frac{1}{9}(49 + 14m + m^2) \\ \\
14 = \frac{29}{3}+ \frac{1}{3}m^2 - \frac{49}{9}- \frac{14}{9}m- \frac{1}{9}m^2 \\ \\
0 = \frac{-88}{9} -\frac{14}{9}m + \frac{2}{9}m^2
$

quadratic formula

$m = \displaystyle\frac{-b \pm \sqrt{b^2 -4ac}}{2a} \\
m = \frac{-(-\frac{14}{9}) \pm \sqrt{\left(-\frac{14}{9}\right)^2 - 4(2/9)(-88/9)} }{2(2/9)} \\
m = \frac{\frac{14}{9} \pm \sqrt{ \frac{196}{81} + \frac{704}{81} } }{\frac{4}{9} } \\
m = \frac{\frac{14}{9} \pm \sqrt{ \frac{900}{81} } }{\frac{4}{9} } \\
m = \frac{\frac{14}{9} \pm \sqrt{ \frac{100}{9} } }{\frac{4}{9} } \\
m = \frac{\frac{14}{9} \pm \frac{10}{3} }{\frac{4}{9} } \\
m = 11, -4$

-4 doesnt' work as it is not a positive integer

m = 11

</span></span>

5 0

3 years ago

Consider the function represented by the equation x - y = 3. What is the equation written in function notation, with x

Svet_ta [14]

Independent Variable Y-3(x)

5 0

3 years ago