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BabaBlast [244]
3 years ago
13

What are the zero(s) of the function f(x)=

rmula1" title="\frac{4x^{2}-36x }{x-9}" alt="\frac{4x^{2}-36x }{x-9}" align="absmiddle" class="latex-formula">?
a.) x = -9
b.)x = 0
c.)x = 9
d.)x = 0 and x = 9
Mathematics
1 answer:
Contact [7]3 years ago
7 0

Answer:

D

Step-by-step explanation:

The function will be zero when the numerator is equal to 0. So, set the numerator equal to 0 and solve:

0 = 4 {x}^{2}  - 36x

I will use the quadratic formula:

\frac{ 36  +  \sqrt{ {36}^{2}  - 4(4)(0)} }{2(4)}  \\  \frac{  36 + 36}{8}  = 9

Therefore, x = 9 is a 0. Let's check with subtracted root now:

\frac{ 36   -    \sqrt{ {36}^{2}  - 4(4)(0)} }{2(4)}  \\  \frac{ 36  -  36}{8}  =  0

It appears 0 is also a root.

Therefore, the answer is D.

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Put the following numbers in order on the number line below.
mrs_skeptik [129]

Answer:

1/4

1/2

3/5

7/8

11/4

13/4

11/2

5 0
2 years ago
(Correct answer only please)
andriy [413]

Answer: Choice A)  Add 3.8 to both sides of the equation

Explanation:

If we knew the value of w, then we would replace it and apply PEMDAS.

However, we don't know the value of w, so we undo each step of PEMDAS going backwards.

We start with the "S" of PEMDAS, and undo the subtraction. To undo subtraction, you apply addition. To undo that "minus 3.8" we add 3.8 to both sides.

4 0
3 years ago
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The vertices of a triangle ABC are A(7, 5), B(4, 2), and C(9, 2). What is measure of angle ABC? 30° 45° 56.31° 78.69°
GenaCL600 [577]

The measure of angle ABC is 45°

<em><u>Explanation</u></em>

Vertices of the triangle are:   A(7, 5), B(4, 2), and C(9, 2)

According to the diagram below....

Length of the side BC (a) =\sqrt{(4-9)^2+(2-2)^2}= \sqrt{25}= 5

Length of the side AC (b) = \sqrt{(7-9)^2 +(5-2)^2}= \sqrt{4+9}=\sqrt{13}

Length of the side AB (c) = \sqrt{(7-4)^2 +(5-2)^2} =\sqrt{9+9}=\sqrt{18}

We need to find ∠ABC or ∠B . So using <u>Cosine rule</u>, we will get...

cosB= \frac{a^2+c^2-b^2}{2ac} \\ \\ cos B= \frac{(5)^2+(\sqrt{18})^2-(\sqrt{13})^2}{2*5*\sqrt{18} }\\ \\ cosB= \frac{25+18-13}{10\sqrt{18}} =\frac{30}{10\sqrt{18}}=\frac{3}{\sqrt{18}}\\ \\ cosB=\frac{3}{3\sqrt{2}} =\frac{1}{\sqrt{2}}\\ \\ B= cos^-^1(\frac{1}{\sqrt{2}})= 45 degree

So, the measure of angle ABC is 45°

7 0
3 years ago
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One angle of a triangle is 30° more than the smallest angle. The largest angle is the sum of the other angles. Find the measures
vladimir1956 [14]

Answer: \boxed{30^{\circ}, 60^{\circ}, 90^{\circ}}

Step-by-step explanation:

Let the smallest angle be x.

Then, the middle angle is x+30.

The largest angle is 2x+30.

Angles in a triangle add to 180 degrees, so:

x+x+30+2x+30=180\\\\4x+60=180\\\\4x=120\\\\x=30

So, the angles measure \boxed{30^{\circ}, 60^{\circ}, 90^{\circ}}

6 0
2 years ago
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erica [24]

Answer:

15.84%

Step-by-step explanation:

There is no formula that will tell you the interest rate. It must be computed iteratively or found graphically. A financial calculator can do the work for you.

The parameters this one uses are

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  • the monthly payment, negative because it is being paid (-88.00)
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  • the number of payments per year (monthly = 12)
  • the number of times per year interest is compounded (monthly = 12)

5 0
2 years ago
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