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NemiM [27]
3 years ago
15

Solve: x^2 – 16x + 63 < 0 ​

Mathematics
1 answer:
marysya [2.9K]3 years ago
8 0

Answer:

7 < x < 9

Step-by-step explanation:

x^2 – 16x + 63 < 0

this is a parabola that opens up.

The parabola will be < 0 for values between the roots.

to picture this see the graph below.

Factor

(x - 7)(x - 9) < 0

Roots

x = {7, 9}

solution

7 < x < 9

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Ostrovityanka [42]

Answer:

The first one

Step-by-step explanation:

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3 years ago
If x=2, What is y? Pls help, i need to get this done in 15 min :000
Pavlova-9 [17]

Answer:

-6

Step-by-step explanation:

4.8(x)+1.2(y)=2.4

9.6 + 1.2y = 2.4

subtract 9.6 from both sides

1.2y = - 7.2

divide by 1.2 on both sides

y = -6

I think this is your question right????

6 0
1 year ago
Use the following table for questions 11-13.A baseball manager believes a linear relationship exists between the number of Home
slamgirl [31]

The regression equation of Y on X is given by the following formula:

Y-\bar{Y}=b_{yx}(X-\bar{X})

Where byx is given by the formula:

b_{yx}=\frac{N\sum^{}_{}XY-\sum^{}_{}X\sum^{}_{}Y}{N\sum^{}_{}X^2-(\sum^{}_{}X)^2}

Where N is the number of values (N=8). We need to find the sum of X values, the sum of Y values, the average of X, the average of Y, the sum of X*Y and the sum of X^2.

The table of values is:

The values we need to know are on the following table:

By replacing the known values in the formula we obtain:

\begin{gathered} b_{yx}=\frac{8\cdot26125-167\cdot995}{8\cdot4649-(167)^2} \\ b_{yx}=\frac{209000-166165}{37192-27889} \\ b_{yx}=\frac{42835}{9303} \\ b_{yx}=4.6 \end{gathered}

Now, the average of X and Y is the sum divided by N, then:

\begin{gathered} \bar{X}=\frac{167}{8}=20.87 \\ \bar{Y}=\frac{995}{8}=124.37 \end{gathered}

Replace these values in the formula and find the regression equation as follows:

\begin{gathered} Y-124.37=4.6(X-20.87) \\ Y-124.37=4.6X-4.6\cdot20.87 \\ Y=4.6X-96.11+124.37 \\ Y=4.6X+28.26 \end{gathered}

The answer is a) y=4.6x+28.26

7 0
1 year ago
If x an integer and 2x +8 &lt;22 and 3x &gt;9, how many possible values of x are there?
koban [17]

Answer:

3 values

Step-by-step explanation:

2x +8 <22 and 3x >9

Solve the two inequalities separately and then put them back together

2x +8 <22

Subtract 8 from each side

2x +8-8 <22 -8

2x < 14

Divide by 2

2x/2 < 14/2

x < 7

Then solve the second inequality

3x>9

Divide by 3

3x/3>9/3

x >3

Putting them back together

x>3 and x < 7

Since it has to be an integer

4,5,6  are possible choices

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5 0
3 years ago
Read 2 more answers
Find the equation of locus of a point which moves such that its distance from (0,2) is one third distance from (-2,3). ( I WILL
scoray [572]

Answer:

8(x^2+y^2)-4x-30y+23=0

Step-by-step explanation:

<u />

<u>Distance formula</u>

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Let P(x, y) = any point on the locus

Let A = (0, 2)    

Let B = (-2, 3)

If a point moves such that its distance from (0, 2) is one third distance from (-2, 3):

PA=\dfrac{1}{3}PB

Therefore, using the distance formula:

\implies \sqrt{(x-0)^2+(y-2)^2}=\dfrac{1}{3}\sqrt{(x-(-2))^2+(y-3)^2}

Square both sides:

\implies x^2+(y-2)^2=\dfrac{1}{9}[(x+2)^2+(y-3)^2]

\implies x^2+y^2-4y+4=\dfrac{1}{9}(x^2+4x+4+y^2-6y+9)

Multiply both sides by 9:

\implies 9x^2+9y^2-36y+36=x^2+4x+4+y^2-6y+9

\implies 8x^2+8y^2-4x-30y+23=0

\implies 8(x^2+y^2)-4x-30y+23=0

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2 years ago
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