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3 years ago

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

Mathematics

1 answer:

alisha [4.7K]3 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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Write your answer as a fraction or as a whole or mixed number. 27pts

statuscvo [17]

What we know:

Bird feeder capacity: --> 2 4/5 cups
Samantha's scoop capacity: --> 7/10 cups

Lets first convert the mixed partial fraction --> improper fraction

--> for easier calculation

After Conversion:

Bird feeder capacity: --> 14/5 cups
Samantha's scoop capacity: --> 7/10 cups

To find how many scoops of birdseed will Samantha put into the feeder we must:

--> divide the total capacity by the scoop's capacity

--> find the number of scoops:

Solve:

$Total-number- of -scoops = \frac{\frac{14}{5} }{\frac{7}{10} } =\frac{14}{5} *\frac{10}{7} =\frac{14*10}{5*7} =\frac{14}{7} *\frac{10}{5} =2*2=4$

Thus the total number of scoops that Samantha will put into the bird feeder is 4

Answer: 4

Hope that helps!

4 0

1 year ago

Should you flip the inequality sign in this problem? -9x + 27 = -13 Yes no

Angelina_Jolie [31]

Answer:

Step-by-step explanation:no you should not

-9x+27=-13

-9x-27=13

-9x=18

-2=x

3 0

2 years ago

Read 2 more answers

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ella [17]

Answer:

2. x=5.7

4. AC=7

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2 years ago

Write the slope intercept form through: (5,1) and(2, -2)

victus00 [196]

We see that the slope of this line is $\frac{-2-1}{2-5}=1,$ so we plug this and the point $(5,1)$ into the point-slope form $y-y_1=m(x-x_1)$ (note that there's nothing special about the point I picked; you can choose any point on the line):