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FinnZ [79.3K]
3 years ago
14

How do you do -9(x+5-9)=9--9

Mathematics
1 answer:
alina1380 [7]3 years ago
6 0

First, we use distributive property:

-9x - 45 + 81 = 9x - 9

Then, combine like terms: -45 + 81

-9x + 36 = 9x - 9

Add 9 to both sides.

-9x + 45 = 9x

Add 9x to both sides

45 = 18x

Divide both sides by 18

2.5 = x

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Select the correct answer from the drop-down menu. Find the polynomial. {5} is the solution set of.
Stella [2.4K]

Answer:

3. x^2-10x+25=0

Step-by-step explanation:

All the polynomials in the given option are quadratic.

By the fundamental theorem of algebra, the quadratic polynomial has two roots.

Since the solution set is given as {5}, the quadratic has a repeated root.

In other words the root has a multiplicity of 2.

Hence we have the equation:

x=5, multiplicity 2

This implies that;

(x-5)^2=0

We expand to obtain;

x^2-5x-5x+25=0

x^2-10x+25=0

The correct choice is the third option.

3 0
3 years ago
Does the following equation represent a circle? Why or why not? X^2-y^2=4
nadezda [96]

Answer:

solution given:

yeah it represent circle

as it is in the form:

(x-h)²+(y-k)²=r²

where

centre(h,k)=(0,0)

radius [r]=2 units

8 0
3 years ago
How much of a spice that is 3% salt should be added to 175 ounces of a spice that is 6% salt in order to make a spice that is 5%
Nonamiya [84]

Answer:

Let y represents the ounces of first spice.

From the given statements, we draw a table as shown below:

                          ounces of spice        Percentage          ounces of salt

First spice                 y                              3%                            0.03x

Second spice           175                            6%                          175(0.06)

Final  mixture          y + 175                         5%                        (x+15)(0.05)

Now, to solve for y

we have;

Final spice = First spice + second spice

0.03y + 175(0.06) = (y+175)(0.05)

0.03y+ 10.5= 0.05y+ 8.75

Subtract 10.5 on both sides we have;

0.03y+ 10.5 -10.5= 0.05y+ 8.75 -10.5

Simplify:

0.03y = 0.05y -1.75

Subtract 0.05y on both sides

0.03y -0.05y= 0.05y -1.75-0.05y

Simplify:

-0.02y = -1.75

Divide both sides by -0.02, we get;

y = \frac{-1.75}{-0.02} = 87.5

Therefore, 87.5 ounces of spices that is 3% salt should be added to 175 ounces of a spice that is 6% salt in order to make a spice that is 5% salt


5 0
3 years ago
Read 2 more answers
Write an equation in slope-intercept form for the line that passes through (5,3) and is parallel to x+3y=6.
Grace [21]

Answer:

y=-\frac{1}{3} x+\frac{14}{3}

Step-by-step explanation:

A parallel line would have the same left hand side, different right hand side.

Use the point to determine the new right hand side.

6 0
3 years ago
The topic is law of cosines and sines and I need help with this
sergiy2304 [10]

Answer:

Answer is 2nd one (20.8)

5 0
3 years ago
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