Lets take this problem as 25/8 - 15/8. This is both the fractions in improper form. Subtract 25 and 15 and divide the answer by 8 so 10 divided by 8 which is equal to 1 1/4
Answer:
D
Step-by-step explanation:
Given the table

The change in x is

The change in y is

Since for the same change in x, the change in y is different, given table represents nonlinear function.
D, $69,160
Take Assoc. Degree pay, subtract high school pay. 40,820-33,904 = 6,916. Multiply by 10 years = $69,160
1)
2x^2 - 13x - 24 = 0;
the discriminant is : ( - 13 )^2 - 4 * 2 * ( -24 ) = 169 + 192 = 361 = 19^2 => we have two different rational-number solutions ;
2)
[ -2( x + 2 ) - 3( x - 5 ) ] / [ ( x - 5 )( x + 2 ) ] < 0 <=>
( -5x + 11 ) / [ ( x - 5 )( x + 2 ) ] < 0
We have 2 situations :
a) - 5x + 11 < 0 and ( x - 5 )( x + 2 ) > 0 => x∈ ( 11 / 5 , + oo ) and x∈( -oo, - 2 )U
( 5 , + oo ) => x∈( 5, +oo);
b) - 5x + 11 > 0 and ( x - 5 )( x + 2 ) < 0 => x∈(-oo, 11/5) and x∈( -2, 5 ) =>
x∈( -2, 11/5 );
Finally, x∈ U (-2, 11 / 5 ) U ( 5, +oo).
Answer:
(a) 498501
(b) 251001
Step-by-step explanation:
According Gauss's approach, the sum of a series is
.... (1)
where, n is number of terms.
(a)
The given series is
1+2+3+4+...+998
here,



Substitute
,
and
in equation (1).



Therefore the sum of series is 498501.
(b)
The given series is
1+3+5+7+...+ 1001
The given series is the sum of dd natural numbers.
In 1001 natural numbers 500 are even numbers and 501 are odd number because alternative numbers are even.



Substitute
,
and
in equation (1).




Therefore the sum of series is 251001.