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Stels [109]
3 years ago
13

What are the solutions to m^2 – 9 = 0? a. m = –9 and m = 0 b. m = –3 and m = 3 c. m = –3 d. m = 9

Mathematics
1 answer:
marysya [2.9K]3 years ago
5 0
2 ways
zero product property
easy way

zero product
factor perfect square
m^2-3^2=0
(m-3)(m+3)=0
set each to zero
m-3=0
x=3

m+3=0
m=-3

m=-3 or 3

easy way
add 9 to both sides
m^2=9
sqrt both sides remember to take postive and negative roots
m=+/-3
m=-3 or 3


B is answer

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WILL GIVE BRAINLIEST!
OLga [1]

a. To find the least squares regression equation for a group of (x,y) points:

Step 1: For each point(x,y), we need to calculate x² and xy first.

Step 2: Sum all x, y, x² and xy, which gives us Σx, Σy, Σx² and Σxy

Step 3: Calculate Slope m: m = (NΣxy − Σx Σy)/ N(Σx²) − (Σx)² , here N is the number of data.

Step 4: Calculate Intercept b: b = Σy − m(Σx)/ N

Step 5: Assemble the equation as y= mx+b

Here, we have ∑x = 120, ∑y= 1379, ∑x²= 919.5, ∑xy= 10466 and N= 16

So, m= (NΣxy − Σx Σy)/ N(Σx²) − (Σx)²

= \frac{(16*10466)-(120*1379)}{(16*919.5)-(120)^{2}}

= \frac{167456-165480}{14712-14400}

= \frac{1976}{312}

= 6.33

and b = Σy − m(Σx)/ N

= \frac{1379-(6.33*120)}{16}

= \frac{1379-759.6}{16}

= \frac{619.4}{16}

= 38.71

So, the least squares regression equation is : y= mx+b ⇒ y= 6.33x +38.71

b. When x= 8, then y= (6.33×8)+38.71 = 50.64 + 38.71 =89.35

The approximate test score of a student who sleeps an average of 8 h a night is 89.35%

7 0
3 years ago
1000000×345671234567
Anarel [89]

Answer:

hi

Step-by-step explanation:

i think that answer is 345671234567000000

have a nice day

5 0
3 years ago
Read 2 more answers
There are 15 balls in an urn. 5 red balls, 5 blue balls and 5 white balls. Three balls are taken simultaneously. Let X represent
Naily [24]

Answer:

X = 33.3 percent

Step-by-step explanation:

8 0
2 years ago
Which ratio is equvalent to 7:3
Gala2k [10]

Answer:

21:18

Step-by-step explanation:

3 0
3 years ago
Given the points K(-2;5), L(1,3) and M(-5; 2p). Calculate the value
Advocard [28]

The product of the perpendicular lines is a negative one. Then the value of p will be negative 3.75.

<h3>What is coordinate geometry?</h3>

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Given the points K(-2,5), L(1,3) and M(-5, 2p).

If KL is perpendicular to LM. Then we have

The slope of KL will be

KL = (1+2)/(3-5)

KL = -1.5

The slope of LM will be

LM = (1+6)/(3-2p)

LM = 7/(3-2p)

We know the product of the perpendicular lines is a negative one.

        KL x ML = -1

-1.5 x 7/(3-2p) = -1

              -10.5 = -3 + 2p

                 2p = -7.5

                   p = -3.75

More about the coordinate geometry link is given below.

brainly.com/question/1601567

#SPJ1

4 0
2 years ago
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