Answer:
m= -1
Step-by-step explanation:
plug in the coordinate (-3, 7) into y=mx+4 where (x, y)
7=-3m+4
solve for m and you get -1
:)
Answer:
uál es el pr
Step-by-step explanation:
Answer:
c) 4
Step-by-step explanation:
<u><em>The sum of two numbers is 14. The larger number minus three times the lesser number is -2</em></u>
<u><em /></u>
To solve this question, we need to write the statement mathematically;
Let the two numbers be x and y
"The sum of two numbers is 14" can be mathematically written as x+y = 14
and
"The larger number minus three times the lesser number is -2" can be mathematically written as x - 3y = -2
x + y = 14 ------------------(1)
x - 3y= -2 -------------------(2)
Subtract equation (2) from equation (1)
[x - x = 0 y - (-3y)=4y 14-(-2)=16]
4y = 16
To get the value of y divide both-side of the equation by 4
4y/4 = 16/4
y = 4
Substitute y=4 into equation (1)
x + y =14
x +4 =14
Subtract 4 from both-side of the equation
x + 4 -4 = 10]-4
x = 10
x=10 and y =4
Therefore the lesser number is 4
Answer:
95% confidence interval for the population mean is 20.255 and 17.945
Step-by-step explanation:
given data
mean = 19.1
standard deviation = 1.5
n = 9
to find out
95% confidence interval for the population mean
solution
we know 95% confidence interval formula i.e.
mean +/- t * standard deviation/
.............1
here t for 9 students 2.31 ( from t table)
so put all value n t standard deviation and mean in equation 1
= mean +/- t * standard deviation/
= 19.1 +/- 2.31 * 1.5/
= 19.1 +/- 2.31 * 1.5/
= 20.255 and 17.945
95% confidence interval for the population mean is 20.255 and 17.945
Answer:
f(x) = x² - 81 = ( x+ 9)(x - 9) Difference of two squares
g(x) = x+9/x-9
g(x) . f(x) = x + 9/ x - 9 × (x+9)(x - 9)
= ( x + 9)(x +9)
= ( x + 9)²
= x² + 18x + 81
Hope this helps.
