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OverLord2011 [107]
3 years ago
13

F(x)=x3+8x2+5x−50 factored

Mathematics
1 answer:
Luda [366]3 years ago
4 0

Answer:

(x+5)^{2} (x-2)

Step-by-step explanation:

1) Factor x^3} +8x^{2} +5x-50 using polynomial division.

(x^{2} +10x+25)(x-2)

2) Rewrite x^{2} +10x+25 in the form a^{2} +2ab+b^{2}, where a = x and b = 5.

(x^{2} +2(x)(5)+5^{2} )(x-2)

3) Use Square of Sum: (a+b)^{2} =a^{2} +2ab+b^{2}.

(x+5)^{2} (x-2)

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7/8 yard of material is needed to make a blanket, how many blankets can be made from 21 yards of material?
dmitriy555 [2]

Answer:

24

Step-by-step explanation:

the question translates to asking how many times does 7/8 fit in 21, so 21 divided by 7/8.

when we divide by a fraction, we can multiply by it's inverse, so 21 divided by 7/8, is 21 multiplied by 8/7. so:

21×8/7 = (21×8)/7 = (21/7)×8 = 3×8 = 24

8 0
2 years ago
The box plots represent the ages of pennies in two 50-cent rolls. By looking at the plots, Beth says that the two means are abou
Jlenok [28]

Answer:

The correct option is D

D) She may not be correct because means cannot be determined from the box plots

Step-by-step explanation:

The question is incomplete because the box plots are not attached in the question. I've attached the box plots of this question at the bottom.

The box plot, also know as box and whisker plot, displays only five type of values, which are:

  1. Minimum value
  2. First Quartile
  3. Median
  4. Third Quartile
  5. Maximum value

Mean cannot be determined by just lookin at the box plots. To find the mean, we need to know the values of data and total number of values.

As mean cannot be determined from the box plot, correct option is D

6 0
3 years ago
Read 2 more answers
Can y’all help me on question 7 please?
Verizon [17]
It would be a I’m pretty sure
4 0
2 years ago
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twinlakes on the shelf of a covenience store lose their fresh tastines over time. we say that the taste quality is 1 when the tw
Zolol [24]

Answer:

The graph is shown below.

The time to make the taste to half is <u>4.265 s.</u>

Step-by-step explanation:

Given:

Initial value of the taste is, Q_0=1

Therefore, the quality of taste over time 't' is given as:

Q(t)=Q_0(0.85)^t\\Q(t)=1(0.85)^t

Now, when the taste reduces to half, Q=0.5

Therefore,

0.5=1(0.85)^t

Taking natural log on both the sides, we get:

\ln(0.5)=\ln(0.85)^t\\\ln(0.5)=t\ln(0.85)\\t=\frac{ln(0.5)}{\ln(0.85)}=4.265\ s

Therefore, the time to make the taste to half is <u>4.265 s.</u>

4 0
3 years ago
What number is 4 times as many as 25
Oduvanchick [21]
This is a standard relationship/systems of equations question.  Here is how you attack it.  Firstly, set up equations to represent the relationships. Ed = 4*Kim That shows that Ed has four times as many pins as Kim.  Next, we see that the two have 25 together.  So: Ed + Kim = 25 Now we have our two equations.  In order to solve, we need to get one of the equations down to one variable.  We can achieve this via substitution.  The first equation tells us that we can substitute 4*Kim for Ed (in the second equation).  So, let's do just that: 4*Kim + Kim = 255*Kim = 25Kim = 5 Using the first equation again, we can solve for Ed: Ed = 4*KimEd = 4*(5)<span>Ed = 20</span>
6 0
3 years ago
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