1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mash [69]
3 years ago
5

Can anyone help me?

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
8 0

Answer:

The factored form of 4<em>m</em>³ – 28<em>m</em>² – 120<em>m</em> is 4<em>m</em>(<em>m</em> – 10)(<em>m</em> + 3). The zeroes of the function would be <em>m</em> = 0, <em>m</em> = –3, and <em>m</em> = 10.

Step-by-step explanation:

I'll give this a shot.

4<em>m</em>³ – 28<em>m</em>² – 120<em>m</em> = 0 — The original expression

4<em>m</em>³ – 28<em>m</em>² – 120<em>m</em> — Did that 0 have any purpose? I just deleted it.

4(<em>m</em>³ – 7<em>m</em>² – 30<em>m</em>) — There's a common factor in here, 4. Let's pull that aside.

4m(<em>m²</em> – 7<em>m</em> – 30) — Actually, there's <em>two</em> common factors. The second one is <em>m</em>! Let's pull <em>that</em> out too!

To factor an expression, you have to break apart the middle term, so to speak. That's only possible if you can find two numbers whose product equals that of the outside terms and whose sum equals the middle term. Here, I'm just dealing with numbers and putting that variable aside.

–30 = 10 × –3

–30 = –10 × 3

–30 = –2 × 15

–30 = 2 × –15 — To solve for any potential factors, let's find all the numbers integers that multiply to –30

Now let's see which one adds up to –7!

15 – 2 = 13 — it's not this one

2 – 15 = –13 — nor this one

10 – 3 = 7 — we're pretty close! Let's switch that negative

3 – 10 = –7 — here we go! Here's our numbers!

4<em>m</em>[(<em>m</em>² – 10<em>m</em>) + (3<em>m</em> – 30)] — now we break apart the middle term. This is <em>all</em> multiplied by 4<em>m</em>, so that still encases everything with brackets.

4<em>m</em>[<em>m</em>(<em>m</em> – 10) + 3(<em>m</em> – 10)] — Factoring the two expressions

4<em>m</em>(<em>m</em> + 3)(<em>m</em> – 10) — simplifying to find our answer! Ta-da!

You might be interested in
Tina is making a scale model of A monument that is 155 feet tall she uses a scale of 1 inch = 5 feet how tall should Tina make h
fenix001 [56]

Tina should make 31 inch tall model to replicate 155 feet tall monument.

Step-by-step explanation:

This problem can be solved by direct unitary methods easily-

Firstly, Scale is the ratio of the dimension of the original substance to the dimension of a model

Scale= original dimension/ model dimension

Model is the miniaturised representation of a substance.

The monument is 155 feet tall

Tina replicates it with a scale 1inch: 5 feet

Thus, this means that Tina would need 155*1/5 = 31 inch tall model to replicate the complete length of the monument.

Hence Tina needs to make 31-inch tall model.

3 0
3 years ago
Read 2 more answers
How many times more <br>people attended shows in 2006 than in 2009? 17.1 in 2006 and 14.3 in 2009
Trava [24]
2.8 more people attended more shows in 2006 than in 2009
6 0
3 years ago
Read 2 more answers
Which expression is equivalent to One-fifth (150 x minus 80 y + 50 minus 50 x minus 25 y + 20)?
nekit [7.7K]

Answer:

150 x - 80 y + 50 - 50 x - 25 y + 20

<em><u>Arranging </u></em><em><u>like </u></em><em><u>terms </u></em>

150 x - 50 x -25 y - 80y + 50 + 20

100x - 105 y + 70

<h3>5 ( 20x - 21y + 14) </h3>
5 0
2 years ago
Read 2 more answers
If t= 14,what is the value of 3t?
Goryan [66]
42 bro it’s pretty simple just multiplication
7 0
3 years ago
A company tests two new products to make sure they last for more than a year. Product 1 had 950 out of 1,000 test items last for
zheka24 [161]

Answer:

product one; it has a higher success rate

Step-by-step explanation:

to find out which has a higher rate of success we can find out their percentage of success

we can divide their success amounts by test amounts

950 / 1000 = 95/100 = 95%

150/200 = 75/100 = 75%

product 1 has a higher success rate

5 0
3 years ago
Other questions:
  • Evaluate the expression a3 - b / 4 for a = 3, b = 2, and c = 4. Write in simplest form.
    13·1 answer
  • Which of the following companies offers the greatest total employment compensation? Company A Gross pay $38,200 Insurance $3,500
    12·2 answers
  • What is the solution to y=x+2 and x=-3
    6·1 answer
  • 3 more than 5 times the number of dogs
    15·1 answer
  • Colton and his dad bought a gallon of paint that costs $13 . They also bought 2 brushes that cost $9 each. What was the total co
    7·2 answers
  • If carrots were $0.50 less per pound how much would Victoria have paid for 8.5 pounds of carrots
    5·1 answer
  • Your favorite dog groomer charges according to your dog's weight. If your dog is 10 pounds or under, the groomer charges $30. If
    8·1 answer
  • What is the value of x in 2.5-0.35x=-3
    14·2 answers
  • Question is down below thanks
    9·1 answer
  • Please answer if true or false, thank you! links = report
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!