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solong [7]
4 years ago
9

Which of the fallowing is a factor? EXPLAIN:

Mathematics
1 answer:
julia-pushkina [17]4 years ago
5 0
Find two numbers that multiply to -28 (last term) and add to -3 (middle term)

Those two values are -7 and 4
-7 plus 4 = -3
-7 times 4 = -28

Since the numbers are -7 and 4, this means the given expression factors to (x-7)(x+4)

The two factors are x-7 and x+4

The factor x+4 isn't listed in the list of answer choices, so we can ignore it. The factor x-7 is listed as choice B, so that is the only answer.
You might be interested in
Graphing Natural Exponential Functions In Exercise,sketch the graph of the function.See Example 1.
serg [7]

Answer:

See the graph and explanation below.

Step-by-step explanation:

For this case we have the following function:

f(x) = e^{1-x}

We can calculate some points in order to see the tendency of the graph, we can select a set of points for example x =-2,-1.5,-1,0,1,1,5,2 and we can calculate the values for f(x) like this

x=-2

f(x=-2) =e^{1+2}= e^{3}=20.086

x=-1.5

f(x=-1.5) =e^{1+1.5}= e^{2.5}=12.182

x=-1

f(x=-1) =e^{1+1}= e^{2}=7.389

x=0

f(x=0) =e^{1-0}= e^{1}=2.718

This point correspond to the y intercept.

x=1

f(x=1) =e^{1-1}= e^{0}=1

x=2

f(x=2) =e^{1-2}= e^{-1}=0.368

We don't have x intercepts for this case since the functionnever crosses the x axis.

And then we can see the plot on the figure attached.

5 0
3 years ago
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
ipn [44]

The expression equivalent to given expression is \frac{b^4}{a}

<em><u>Solution:</u></em>

Given expression is:

\frac{a^3b^5}{a^4b}

We are asked to find the expression equivalent to given expression

Assume that denominator does not equal to zero

We can apply the exponent rule in given expression

\frac{x^a}{x^b} = x^{a - b}

Apply the above rule in given expression

\frac{a^3b^5}{a^4b} = a^{3-4} \times b^{5-1} = a^{-1}b^4

a^{-1}b^4 = \frac{b^4}{a}

Thus the equivalent expression is found

6 0
3 years ago
Read 2 more answers
If the mean of a data set is 100 and almost all the data is from 40 to 160, what is a good approximation of the variance?
Travka [436]
A.) 120

The variance is the range of a data set, which shows how spread out numbers are. To get the variance, we take the last number and subtract it from the first number. 160-40=120. Therefore, there is 120 numbers between 40 to 160.
4 0
3 years ago
Read 2 more answers
The percentage of pepperoni in a pizza is 35.67%. What is 35.67% rounded to the nearest whole percent?
Inessa05 [86]
36% because 65 is nearer to the whole number
3 0
4 years ago
Read 2 more answers
A student scored 83 and 91 on her first two quizzes. Write and solve a compound inequality to find the possible values for a thi
mixer [17]
Let x be the score of the 3rd quiz,, then the average score will be:
(83+91+x)/3, which = (174+x)/3. but this average should be greater or equal to 85 and smaller or equal to 90:

85 ≤ (174+x)/3 ≤ 90
1st multiply all terms with 3 → 255 ≤(174+x) ≤ 270
2nd subtract 173 from all terms → 255-174 ≤174-174+x ≤270-174
81 ≤ x ≤ 96


7 0
3 years ago
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