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3 years ago

When 0.3(4x – 8) – 0.5(–2.4x + 4) is simplified, what is the resulting expression?

Mathematics

1 answer:

vitfil [10]3 years ago

5 0

Answer: 2.4x−4.4

Step-by-step explanation:

0.3(4x – 8) – 0.5(–2.4x + 4)

1.2x−2.4−0.5(−2.4x+4)

1.2x−2.4−(−1.2x+2)

1.2x−2.4+1.2x−2

(1.2x+1.2x)+(−2.4−2)

2.4x−4.4

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great rest of Black History Month! :-)

- Cutiepatutie ☺❀❤

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What is the center and radius of a circle with an equation (x+5)2 +(y-1)2 = 64

Svet_ta [14]

Answer: x = -y+28

Step-by-step explanation:

6 0

3 years ago

Can anyone help me?

ArbitrLikvidat [17]

Answer:

The factored form of 4m³ – 28m² – 120m is 4m(m – 10)(m + 3). The zeroes of the function would be m = 0, m = –3, and m = 10.

Step-by-step explanation:

I'll give this a shot.

4m³ – 28m² – 120m = 0 — The original expression

4m³ – 28m² – 120m — Did that 0 have any purpose? I just deleted it.

4(m³ – 7m² – 30m) — There's a common factor in here, 4. Let's pull that aside.

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

4m[(m² – 10m) + (3m – 30)] — now we break apart the middle term. This is all multiplied by 4m, so that still encases everything with brackets.

4m[m(m – 10) + 3(m – 10)] — Factoring the two expressions

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

8 0

3 years ago

I need answer Immediately pls!!!!!!!

Anuta_ua [19.1K]

Answer:

1/14

Step-by-step explanation:

There is only 1 common multiple of 4 and 6 between 1 and 14.

So the probability is:

$P = \frac{1}{14}$

8 0

3 years ago

Read 2 more answers

And the number 6,497.4, the four next to the six is worth ___ times the other four.

FrozenT [24]

Yeah the answer is c

8 0

3 years ago

What is −13+2z=−56 Thanks

Zinaida [17]

<h3>Original Equation:</h3>

$-\frac{1}{3}+2z=-\frac{5}{6}$

<h3>Steps:</h3>

*To solve for a variable, isolate the desired variable onto one side.

Firstly, we want to add 1/3 to each side however -5/6 and 1/3 do not share the same denominator, and we want them to have that and we can do that by finding the LCD, or lowest common denominator. To find the LCD, list the multiples of 6 and 3 and the lowest multiple that they share is their LCD. In this case, their LCD is 6. Multiply -1/3 by 2/2:

$-\frac{1}{3}\times \frac{2}{2}=-\frac{2}{6}\\\\-\frac{2}{6}+2z=-\frac{5}{6}$

Now that we have common denominators, add both sides by 2/6:

$2z=-\frac{3}{6}\\\\2z=-\frac{1}{2}$

Next, you want to cancel out 2 to isolate z. Usually, one would divide both sides by 2, however remember that dividing by a number is the same as multiplying by it's reciprocal. To find a number's reciprocal, flip the numerator and denominator around. In this case, since 2 is a whole number this means that the denominator is 1. In this case: 2/1 would become 1/2. Multiply both sides by 1/2:

$\frac{1}{2}\times 2z= -\frac{1}{2}\times \frac{1}{2}\\\\z=-\frac{1}{4}$

<h3>Final Answer:</h3>

Your final answer is z = -1/4.

7 0

3 years ago