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Zina [86]
3 years ago
8

What’s the answer to this

Mathematics
1 answer:
Tanya [424]3 years ago
3 0

An open circle is used for a less than or greater than symbol. A closed circle is used for a less than or equal to, or greater than or equal to symbol.

Both of the functions have negative slopes, which we know because they point to the up and to the left.

The open circle inequality has a y-intercept at (0,2) and the closed circle inequality that is not shown by the image. However, for the closed circle inequality, we know that is must be less than or equal to, because the line goes downwards, away from the closed circle. For the open circle inequality, it must be greater than because the line goes upwards.

This leaves us with answer choices A and B. Looking at both, we can see that the only choice that fits with our observations of greater/less than or equal to, and open/closed is A.

Hope this helps!! :)

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First combine like terms on each side so
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The student to faculty ratio is 17:3 the total of students is faculty 740
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740 / 20 = 37

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What is 13.038 rounded to the nearest thousandth?
denis23 [38]
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3 years ago
2. Factor f(x) = x4 + 10x3 + 35x2 + 50x + 24 completely showing all work and steps with synthetic division. Then sketch the grap
telo118 [61]

We need to use rational root theorem to find out roots here.

The rational root theorem states that if p(x) is a polynomial with integer coefficients and if \frac{p}{q} is a zero of p(x) then p is a factor of constant term and q is a factor of leasing term coefficient.

Here factors of constant term are 1,2,3,4,6,8,12,24,-1,-2,-3,-4,-6,-8,-12, and -24.

And factors of leading coefficient is -1,1.

Hence possible roots may be -1,1,-2,2,-3,3,-4,4,-6,6,-8,8,-12,12,-24 and 24.

Let us plugin these in f(x) to find zeroes.

f(-1)=(-1)^{4}+10(-1)^{3}+35(-1)^{2}+50(-1)+24 =1-10+35-50+24=0

Hence x=-1 is a zero which means x-(-1)=x+1 is a factor.

Let us use synthetic division to find quotient.

-1 | 1  10  35  50  24

  <u>| 0  -1  -9  -26   -24</u>

   <u> 1    9  26  24    0</u>

Hence quotient is x^{3} +9x^{2} +26x+24

Since all coefficients are positive, root must be negative. Let's plugin all remaining negative numbers in the quotient.

(-2)^{3}+9(-2)^{2}+26(-2)+24 = 0

Hence x+2 is another factor.

Let us find quotient again using synthetic division.

-2 | 1   9  26   24

   <u>| 0  -2  -14   -24</u>

   <u>  1    7    12     0</u>

Hence quotient is x^{2} +7x+12

Again we got quotient with all positive coefficients, let us plugin remaining negative numbers from rational root theorem.

(-3)^{2}+7(-3)+12=-9-21+12=0

Hence x+3 is also a factor.

Let us find quotient using synthetic division.

-3 | 1  7  12

   <u>| 0 -3  -12</u>

    <u> 1    4    0</u>

Hence quotient is x+4.

So, f(x)=x^{4}+10x^{3}+35x^{2}+50x+24 =(x+1)(x+2)(x+3)(x+4)

Please have a look at the graph attached.

4 0
3 years ago
Jill traveled to Canada and bought a new lamp for $460 Canadian dollars. In US dollars (to the nearest cent) this is equivalent
blsea [12.9K]
The Canadian dollar is .72 of a American dollar so the answer has to be B.
8 0
3 years ago
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