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Simora [160]
3 years ago
11

How to solve (x+7)(x-9)>0

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
8 0

Answer:

x < -7, x > 9.

Step-by-step explanation:

Solve for x.

x = -7, 9

From the values of x above, we have these 3 intervals to test.

x <  - 7

- 7

x > 9

Pick a test point for each interval.

For the interval x < −7:

Let's pick x=−8. Then, (-8 + 7) (-8 - 9) > 0.

After simplifying, we get 17>0, which is true

Keep this interval.

Let's pick x=0. Then, (0+7)(0-9) > 0.

After simplifying, we get −63 > 0, which is false.

Drop this interval.

For the interval x > 9:

Let's pick x=10. Then, (10+7)(10-9)>0.

After simplifying, we get 17 > 0, which is true

Keep this interval.

Therefor, the answer is x < -7, x > 9.

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Which story problem could be solved using the division problem 30 ÷ 5 = 6?
Lynna [10]

Answer:

"There are 30 chairs in 5 rows. How many chairs are in each row?" Would be the correct story problem.

8 0
3 years ago
Drag each statement to show whether it is true, based on the graph.
brilliants [131]

Answer:

The price per one pound of almonds equal $2.20/0.65 lb

0.65 pounds of almonds cost $2.20

Step-by-step explanation:

Verify each case

case 1) The price per one pound of almonds equal $2.20/0.65 lb

<em>The statement is true</em>

To find the price per one pound calculate the unit rate

so

$2.20/0.65 lb=$3.38 per one pound

case 2) 2.2 pounds of almonds cost $0.65

The statement is not True

The correct is 0.65 pounds of almonds cost $2.2

case 3) Each bag of almonds weighs 2.2 pounds

Cannot be determined

In the problem there is no information about how much each bag of almonds weighs

case 4) 0.65 pounds of almonds cost $2.20

The statement is True

The point (0.65,2.20) lie to the line of the the graph

6 0
3 years ago
Read 2 more answers
Find the solution of the given initial value problems in explicit form. Determine the interval where the solutions are defined.
natali 33 [55]

Answer:

The solution of the given initial value problems in explicit form is y=x-x^2-2  and the solutions are defined for all real numbers.

Step-by-step explanation:

The given differential equation is

y'=1-2x

It can be written as

\frac{dy}{dx}=1-2x

Use variable separable method to solve this differential equation.

dy=(1-2x)dx

Integrate both the sides.

\int dy=\int (1-2x)dx

y=x-2(\frac{x^2}{2})+C                  [\because \int x^n=\frac{x^{n+1}}{n+1}]

y=x-x^2+C              ... (1)

It is given that y(1) = -2. Substitute x=1 and y=-2 to find the value of C.

-2=1-(1)^2+C

-2=1-1+C

-2=C

The value of C is -2. Substitute C=-2 in equation (1).

y=x-x^2-2

Therefore the solution of the given initial value problems in explicit form is y=x-x^2-2 .

The solution is quadratic function, so it is defined for all real values.

Therefore the solutions are defined for all real numbers.

4 0
3 years ago
Solve using elimination<br><br> 2x+5y=34<br> x+2y=14
Darina [25.2K]

2x + 5y = 34

x+2y = 14


Multiply the second equation by two to create like terms for one variable.

2(x+2y = 14)

2x + 4y = 28


2x + 5y = 34

2x + 4y = 28 -- Subtract.


y = 34.28 = 6


Solve for x


x + 2(6) = 14

x + 12 = 14

x = 2


Check:

2 + 2(6) = 14

2 + 12 = 14

14 = 14


Answer:

X = 2

Y = 6

8 0
3 years ago
Which term describes the point where the perpendicular bisectors of the three sides of a triangle intersect
MissTica

Given statement is "point where the perpendicular bisectors of the three sides of a triangle intersect".

Perpendicular is basically a vertical line that makes 90 degree angle with the base.

bisector means the line which divides side into two equal parts.

So perpendicular bisector in any triangle will be the line which is drawn on the side of the triangle and perpendicular to that side.

Now these perpendicular bisectors meet at some point.

That point is called circumcenter.


Hence final answer will be "circumcenter".


6 0
3 years ago
Read 2 more answers
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