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3 years ago

What is the solution set of y< 1-6x

1 answer:

4 0

Y<1-6x

Insert the values of
x
=
x
=
and
y
=
y
=
into the equation to find if the ordered pair is a solution.
y
<
1
−
6
x
y
<
1
-
6
x
Rewrite so
x
x
is on the left side of the inequality.
1
−
6
x
>
y
1
-
6
x
>
y
Subtract
1
1
from both sides of the inequality.
−
6
x
>
y
−
1
-
6
x
>
y
-
1
Divide each term by
−
6
-
6
and simplify.

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Continuous functions f, g are known to have the properties z 4 1 f(x) dx = 19, z 4 1 g(x) dx = 12 respectively. use these to fin

Ahat [919]

I guess this reads

$\displaystyle\int_1^4f(x)\,\mathrm dx=19$

$\displaystyle\int_1^4g(x)\,\mathrm dx=12$

You want to compute

$I=\displaystyle\int_1^4(8f(x)-g(x)+7)\,\mathrm dx$

By linearity of the definite integral,

$I=\displaystyle8\int_1^4f(x)\,\mathrm dx-\int_1^4g(x)\,\mathrm dx+7\int\mathrm dx$

$I=8\cdot19-12+7(4-1)=\boxed{161}$

3 0

3 years ago

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Vladimir79 [104]

I believe the answer would be C; but I'm not sure if this is the right category for this question?

7 0

3 years ago

Read 2 more answers

Find the standard equation of a circle that passes through the point (−1, 1) with center (2, 3).

Firlakuza [10]

The equation of a circle is
(x-h)² + (y-k)² = r²
for center (h, k) and radius r. Of course, the radius can be computed by putting the point in the equation.
(x-2)² + (y-3)² = (-1-2)² + (1-3)² = 9+4 = 13

The standard equation of the circle is (x-2)² + (y-3)² = 13.

6 0

3 years ago

Quadrilateral EFGH with diagonals EG and HF must be a parallelogram if (1) EF FG  and GH HE  (2) EG FH  (3) EG FH  (4) EF HG

qwelly [4]

Answer:

EF = HG and EF || HG

Step-by-step explanation:

A quadrilateral is a polygon shape with four sides and four angles.

A parallelogram is a quadrilateral with two pairs of parallel sides. The following are properties of a parallelogram:

Opposite sides are equal and parallel.
Opposite angles are equal to each other.
Consecutive angles are supplementary
The diagonals of a parallelogram bisect each other.

If Quadrilateral EFGH with diagonals EG and HF is a parallelogram then EF = HG and EF || HG

5 0

3 years ago

1. Sally said that when you add or subtract positive or negative decimals, you can change the order of the decimals and still ge

siniylev [52]

Always true because addition and subtraction is commutative
-6.2-(-3.96) = -2.24
-3.96-(-6.2)= -2.24
5.71+2.84=8.55
2.84+5.71=8.55
Hope this helped :)

3 0

3 years ago