Answer:
x = 3 and y = 5
Step-by-step explanation:
Given equations are :
y=5x−10 ..(1)
y=−3x+14 ...(2)
Subtract equation (2) from (1).
y-y = 5x−10-(−3x+14)
0 = 5x-10+3x-14
0= 8x-24
8x = 24
x = 3
Put the value of x in equation (1).
y=5(3)−10
= 15-10
y = 5
So, the values of x and y are 3 and 5 respectively.
Answer:
x = -1
Step-by-step explanation:
First things first, simplify;
x+5 - 2(2)
x+5 - 4
x+1
Now we have;
f(x) = x+1
subtract 1
x = -1
Answer:
(85.62, 90.38).
Step-by-step explanation:
The missing data can be assumed to be we have the following information:
¯x =88, s=10, n=70
Substituting the values in the following formula, we compute the 95% C.I for true population mean diastolic pressure as shown below:
95% C.I.=¯x±t(0.95,n−1)⋅Sm=¯x±t(0.95,70−1)⋅s√n=88±1.99⋅10√70=(85.62,90.38)
The answer is (85.62, 90.38).
Answer:
For the first question, the answer is 216 and the equation would become just 6^3
For the second, the answer is 9.
Step-by-step explanation:
When there is a negative exponent, that monomial is brought up to the top of the fraction, (the numerator) so 1/6^-3 becomes 1(6^3)/1, or simplified, just 6^3 since divided by one is the same number and times one is the same number. 6 x 6 x 6 is 216.
When there is a negative exponent outside the equation in a <u>fraction,</u> you need to take the reciprocal of the fraction. Since it's squared, it will always be positive, so we can ignore the negative sign. 3/1 (or just 3) to the power of 2 is 9. (3 x 3 is 9).
When explained throughly this might be found confusing, but it's a very easy concept to get after a while.
