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Amanda [17]
3 years ago
7

125.315 to standard form​

Mathematics
1 answer:
Marianna [84]3 years ago
6 0

Answer:

1.25315*102

Step-by-step explanation:

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Can anyone help me?
ArbitrLikvidat [17]

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!

8 0
3 years ago
What is the solution to this addition sentence? 3/4 + (-1/2) = _____
Vikki [24]

\text{Remove parentheses}\\\frac{3}{4} - \frac{1}{2} \\\text{Simplify}\\\frac{1}{4} \checkmark

6 0
3 years ago
Read 2 more answers
Factor as the product of two binomials <br> x² – 4 =
kkurt [141]

Answer:

(x-2) (x+2)

Step-by-step explanation:

------------------

8 0
3 years ago
Read 2 more answers
On average, 240 customers arrive at a bank every morning (8AM - noon), but they do so randomly (i.e., not exactly every minute).
arlik [135]

Answer:

3.4 minutes

Step-by-step explanation:

Every morning there are expected 240 customers who arrive at bank for the customer service. There are on average 240 customers arriving to the bank every morning. There are total 5 bank tellers and they take average 3 minutes to help customer. The average time each bank teller spends on satisfying a customer will be calculated using the linear model,

Using wait time calculator:

Average service time / standard deviation

Ce = 3/1.5 = 2

The spent time on a customer is 3.4 minutes.

7 0
3 years ago
Please help!!! I will give brainliest but only if you try and help.
Slav-nsk [51]

Answer:

<h2>____</h2><h3>1260 </h3><h2>____</h2>

Since we have to predict, we can use ratios to help us solve this.

12 said yes out of 72 randomly chosen, SO,

if 210 would say yes (goes to play), how many is total??

12 is to 72 AS 210 is to HOW MUCH (let it be x)??

We can setup ratio, cross multiply, and solve for x:

= 12/72= 210/x

= 12x = 210*72

=12x = 15,120

=x = 15,120/12

<h2>=x =1260</h2>

8 0
3 years ago
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