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Anastasy [175]
3 years ago
11

What is the solution of the given inequality? -4(2x+1)<_3(x-5)

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
4 0

Answer:

x ≥ 1

Step-by-step explanation:

Solve the inequality by solving for x.

Solve:

-4(2x + 1) ≤ 3(x - 5)

Use the distributive property.

-8x - 4 ≤ 3(x - 5)

-8x - 4 ≤ 3x - 15

Subtract 3x from both sides.

-11x - 4 ≤ -15

Add 4 to both sides.

-11x ≤ -11

Divide both sides by -11, also flip the inequality since you're dividing by a negative number.

x ≥ 1

Your final answer would be x ≥ 1

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Write an exponential function in the form y=ab^xy=ab
Tcecarenko [31]

Answer:

y = 8 · 10ˣ

Step-by-step explanation:

y = abˣ

When x = 0, y = 8.

8 = ab⁰

8 = a

When x = 3, y = 8000.

8000 = 8b³

1000 = b³

10 = b

The function is:

y = 8 · 10ˣ

3 0
3 years ago
Graph the system of linear inequalities, please explain the process in solving this problem so I know how to do ones similar to
Ierofanga [76]

Graph the system of linear inequalities

x + y > 5

- x - y < -5

First we graph x + y >5

Step 1: replace > symbol by = sign

x + y =5

step 2 : Solve the equation for y

x + y =5 (subtract x from both sides)

y = 5 - x

step 3: Now we make a table . plug in some number for x  and find out y

x -----> y

-1 -----> 6   ( y=5-x => y=5-(-1)= 6)

0 -----> 5   ( y=5-x => y=5-(0)= 5)

1 -----> 4   ( y=5-x => y=5-(1)= 4)

Step 4:  we graph the table.

step 5: Shade the region that satisfies our inequality

x + y > 5. Greater than symbol implies that we shade the graph to the right

Graphing second inequality - x - y < -5

All terms have negative sign . so divide all the terms by -1. When we divide an inequality by -1 its sign changes

- x - y < -5 becomes x + y > 5

Follow the same steps to graph this inequality

After dividing the second equation  by -1 , we got the same as the first equation.

So we will get the same graph

Both graphs overlaps

The graph of first and second inequality overlaps

The graph is attached below

4 0
3 years ago
Which of the following can be used to represent a loss of $320. -320, 0, 1 over 320, +320
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-320. The negative sign represents loss. In all of the other cases, values are either being added or not changed at all.
4 0
2 years ago
PLEASEEEEE HELP ME PLEASE WILL MAR AS BRANLIEST!!!!!!!!!!
mylen [45]
That is right. Angle 2 to side 2 to angle 1 for both of them.The second triangle is just the first upside down.
3 0
3 years ago
What is the midpoint of GH if the coordinates of G and H are (2,5) and (-6,3)
spayn [35]
Mid point of x:
{2-(-6)} : 2
8 : 2
4

mid point of y:
(5-3) : 2
2 : 2
1

so (4,1)
7 0
3 years ago
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