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3 years ago

How many solutions does the equation 6z − 3z − 7 = −2 + 3 have?

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

6 0

Answer:

Equation have Unique solution with $z=2.67$

Step-by-step explanation:

Given Equation:

$6z - 3z - 7 = -2 + 3$

Solving the equation:

$6z-3z-7=1$

Adding 7 to both sides:

$6z-3z-7+7=1+7\\\\6z-3z=8\\\\3z=8\\\\z=8/3 \\\\or\\\\ z=2.67$

The Equation have Unique solution with $z=2.67$

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A function has the ordered pairs (1,3), (7,4), (8,6), and (9,y). What restrictions are there on the value of y so that the in

nordsb [41]

Answer:

y cannot be 3, 4, or 6

Step-by-step explanation:

If the function is to have an inverse, the y-values cannot be repeated. This means ...

y ∉ {3, 4, 6}

4 0

3 years ago

A deli sells two types of sandwiches, tuna salad and BLT. The profit on the sandwiches is $1.50 for tuna and $2.50 for the BLT.

Korolek [52]

X = tuna, y = BLT

x + y = 30
6x + 9y = 240

3y = 60
y = 20

x = 10

20 BLTs for $2.50, 10 tuna for $1.50

7 0

3 years ago

Read 2 more answers

SOLVE USING THE QUADRATIC FORMULA <br><br> 1) y=3x^2-x-6<br><br> 2) y=-5x^2+7x+3

kondor19780726 [428]

1) $x=\frac{1+\sqrt{73}}{6}\,\,and\,\,x=\frac{1-\sqrt{73}}{6}$

2) $x=\frac{-7+\sqrt{109}}{-10}\,\,and\,\,x=\frac{-7-\sqrt{109}}{-10}$

Step-by-step explanation:

Solving the equations using quadratic formula.

1) $y=3x^2-x-6$

The quadratic formula is:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

where a =3, b = -1 and c= -6

Putting values:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-1)\pm\sqrt{(-1)^2-4(3)(-6)}}{2(3)}\\x=\frac{1\pm\sqrt{1+72}}{6}\\x=\frac{1\pm\sqrt{73}}{6}\\so, x=\frac{1+\sqrt{73}}{6}\,\,and\,\,x=\frac{1-\sqrt{73}}{6}$

2) $y=-5x^2+7x+3$

The quadratic formula is:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

where a =-5, b = 7 and c= 3

Putting values:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(7)\pm\sqrt{(7)^2-4(-5)(3)}}{2(-5)}\\x=\frac{-7\pm\sqrt{49+60}}{-10}\\x=\frac{-7\pm\sqrt{109}}{-10}\\So, x=\frac{-7+\sqrt{109}}{-10}\,\,and\,\,x=\frac{-7-\sqrt{109}}{-10}$

Keywords: Solving Using Quadratic Formula

Learn more about Solving Using Quadratic Formula at:

#learnwithBrainly

3 0

4 years ago

You have 6 pints of glaze. It takes 7/8 of a pint to glaze a bowl and 9/16 of a pint to glaze a plate. You want to glaze 5 bowls

Montano1993 [528]

The answer is 2 plates and .50 glaze left over.

How did I get this?

First lets calculate how many bowls can we glaze.
5 bowls * 7/8 of a pint = 4.375 pints
4.375 = how many glaze we will need to make 5 bowls.

6 pints - 4.375pints = 1.625 pints left over after we glaze the bowls.

Now, we need to figure out how many plates we can make with 1.625 glaze.

P X 9/16 = 1.625
Multiply both sides by 16/9 to isolate the variable.
P = 1.625*16/9
P = 2.88 plates

So, we can only glaze 2 plates.

How many glaze is left over?
First, how many glaze did we have left over from the bowls? 1.625 glaze
Then, how many plates did we make? 2 at .5625 each = 1.125 glaze

1.625 - 1.125 = .50 glaze left over.

The answer is 2 plates and .50 glaze left over.

7 0

3 years ago

Robert is in charge of the community swimming pool. Each spring he drains it in order to clean it. Then he refills the pool,whic

Scorpion4ik [409]

Answer:

Robert will fill the pool in 200 hours at a constant rate.

Step-by-step explanation:

120000 divided by 10 is 12000, then you divide that by 60 to go from the number of minutes to hours which equals 200. It's at a constant rate because it's 10 gallons PER minute.

8 0

3 years ago