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larisa [96]
3 years ago
5

What is the solution set of -9x

Mathematics
2 answers:
klio [65]3 years ago
5 0

Answer:

B. x≥-3

Step-by-step explanation:

To solve this problem, first you have to isolate it one one side of the equation.  

First, multiply -1 from both sides.

(-9x)(-1)≥27(-1)

Solve.

27*-1=-27

9x≥-27

Next, divide by 9 from both sides.

9x/9≥-27/9

Then, solve.

-27/9=-3

Therefore, the correct answer is x≥-3.

hodyreva [135]3 years ago
5 0

For this case we must find the solution of the following inequality:

-9x \leq27

If we divide by -9 on both sides of the inequality we have:

-x \leq \frac {27} {9}\\-x \leq3

If we divide by -1 on both sides of the inequality, the sense of it changes:

x \geq-3

ANswer:

Option B

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svlad2 [7]
Easiest way is if you substitute each point (x,y) into each set of equations and both points work for both equations in the system of equations, then it is the correct answer

Otherwise substitute one equation for y in the other equation:
2x + 6 = x^2 + 5x + 6
-2x - 6. -2x -6
0 = x^2 + 3x. Factor
0 = x (x + 3)
Solve: x = 0. x + 3 = 0. ——> x = -3. Substitute into one original equation to get y value for
y = 2x + 6.
y = 2(0) + 6. y = 2(-3) + 6
y = 6. y = -6 + 6 —-> y = 0
(0 , 6) And. (-3 , 0)

4 0
3 years ago
What is the distance between (2,-6) and (-4,3)
ExtremeBDS [4]
Oh okie so cute ☺️ cute lol
8 0
3 years ago
HELP. A triangle is dilated by a scale factor of 2 and the area of the original figure is x units.
7nadin3 [17]

Answer:

4x.

Step-by-step explanation:

If the scale factor is 2 then the area factor is 2^2 = 4.

So the area of the new triangle is 4*x.

8 0
3 years ago
Pleaseeeeee solveee 25 points pleaze help geometry
tatiyna

Answer:

(-3/2, 6)

Step-by-step explanation:

(-3,8) (6,-4)

As we move along the line segment with endpoints (-3,8) and (6,-4) from  (-3,8) to (6,-4) x increases by 9 units (from -3 to 6) and y decreases by -12 units (from 8 to -4).

for ratio of 1:5

Since 1+5=6, the point we are looking for is 1/6 of the way from (-3,8) to (6,-4).  

So, the desired point is

(-3 + (1/6)(9), 8 - (1/6)(12) )

= (-3 + 3/2 , 8 - 2)

= ( (-6 + 3)/2, 6)

= (-3/2, 6)

for map reference see the image below

8 0
3 years ago
Write the extreme and middle terms of 5 : 80 :: 4 :64
Stells [14]

Answer:

The extremes are 5 and 64.

The middle terms are 80 and 4.

Step-by-step explanation:

Given the proportion:

5 : 80 :: 4 :64

To find:

The extreme and middle terms of the given proportion.

Solution:

The given statement is in proportion if and only if the product of extremes i.e. the numbers at both the ends is equal to the product of middle numbers.

OR

First number \times Fourth number = Second number \times Third number

First of all, let us check the two products.

5 \times 64 = 320

And the second product:

80 \times 4 = 320

The product is same therefore, the given numbers are in proportion.

The extreme terms are the first and the fourth numbers.

i.e. The extremes are 5 and 64.

The middle terms are 80 and 4.

7 0
3 years ago
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