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4 years ago

Which expression is equivalent to 3(x2 - 1) - (x2 - 7x + 10)?

Mathematics

1 answer:

alisha [4.7K]4 years ago

7 0

Answer:

2. 2x² + 7x - 13

Step-by-step explanation:

3[x² - 1] - [x² - 7x + 10]

3x² - 3 - x² + 7x - 10

2x² - 13 + 7x

The above answer is a bit written in reverse, which is the exact same result.

So, after performing the Distributive Property, from there, you can combine all like-terms, as done above.

** Now, just in case you are wondering why that -7 has been altered to its opposite, it is because although -7x does not have another like-term to pair up with, IT IS STILL HOOKED UP TO ANOTHER NEGATIVE, so that -7x is REALLY 7x.

I am joyous to assist you anytime.

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2/3 is what percent of 1/4

asambeis [7]

Answer:

267%

Step-by-step explanation:

you need to divide the second number by the first. This will give you the percentage.

2/3 ÷ 1/4 = 8/3 = 2.67 = 267%

6 0

4 years ago

The Sugar Sweet Company is going to transport its sugar to market. It will cost $3500 to rent trucks, and it will cost an additi

VARVARA [1.3K]

Answer:

Equation: $3500+$225s=c

To transport 16 tons of sugar the Sugar Sweet Company will need $7100

Step-by-step explanation:

Notes:

$3500 to rent truck

$225 for each ton of sugar

S is sugar in tons

C is total

Truck is a set cost so you leave it alone

Sugar in the truck is $225 each ton in this case its 16 tons

$3500+$225S=C

Plug in: $3500+$225(16)=C

$3500+$3600=C

C=$7100

5 0

3 years ago

Aspen Bakery sold 40 boxes of rolls in one day. Each box holds 6 rolls. How many rolls did the bakery sell? Can someone please h

vfiekz [6]

Answer:

He sold 240 rolls.

Step-by-step explanation:

To find the amount of rolls he sold, we can multiply the amount of rolls in each box by the amount of boxes sold. If there are 6 rolls in each box, and he sold 40 boxes, then we would multiply 6 by 40.

6*40=240.

He sold 240 rolls.

Hope this helps!

8 0

4 years ago

What is the solution to ln (x2 - 16) = 0?

bogdanovich [222]

ANSWER

$x = \pm \sqrt{17}$
EXPLANATION

The given equation is

$ln( {x}^{2} - 16) = 0$

Take antilogarithm of both sides to base e.

${e}^{ ln( {x}^{2} - 16) } = {e}^{0}$

This will simplify to

${x}^{2} - 16 = 1$

Group like terms to obtain,

${x}^{2} = 1 + 16$

${x}^{2} = 17$

Take square root of both sides to get,

$x = \pm \sqrt{17}$

6 0

3 years ago

Read 2 more answers

What is the correct solution set for the following graph? graph showing two lines, labeled a and b, one atop the other

padilas [110]

Given:

Line a and line b

To find:

Which is the correct solution set for the graph.

Solution:

Here line a is on the line b.

So that a and b have same slope and same solution set.

For any graph of the line, the solution set is the points on the line.

Therefore the solution set is the infinite set of points on the line.

The correct solution set for the graph is infinite set of points on the line.

3 0

3 years ago