The graph of f(x) = 3x2 – 5x – 22 passes through the point (0, –22) and one of its zeros is (–2, 0). What is the other zero of the function?
Answers
Step-by-step explanation:
this is your answer....
The other zero of the given function is [tex](\frac{11}{3}, 0)[/tex] .
How to find the x-intercept of a quadratic function ?Let us assume f(x) [tex]=ax^{2} +bx+c[/tex], then to find the x-intercepts of this quadratic equation, let y = 0, i.e. [tex]ax^{2} +bx+c=0[/tex]
How to find zeros of the given function ?Given, f(x)= [tex]3x^{2} -5x-22[/tex], whose one zero is (-2,0)
Now, to find the x-intercepts of the given quadratic equation, we have to take y = 0.
∴ [tex]3x^{2} -5x-22=0[/tex]
Now we have to solve this equation to find it's another zero.
[tex]3x^{2} -5x-22=0[/tex]
⇒ [tex]3x^{2} -(11-6)x-22=0[/tex]
⇒ [tex]3x^{2} -11x+6x-22=0[/tex]
⇒ [tex]x(3x-11)+2(3x-11)=0[/tex]
⇒ [tex](3x-11)(x+2)=0[/tex]
We know that, if multiplication of two terms is zero, then each of this term is seperately zero.
∴ [tex]3x-11=0[/tex] or [tex]x+2=0[/tex]
⇒ [tex]3x=11[/tex] or [tex]x=-2[/tex]
⇒ [tex]x=\frac{11}{3}[/tex] or [tex]x=-2[/tex]
So, another zero of the function is [tex](\frac{11}{3}, 0)[/tex].
Learn more about zeros of a quadratic equation here :
https://brainly.com/question/1498156
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Answer:
its actually c
Step-by-step explanation:
6*10=60+40=100
100[tex]\geq[/tex]100
Answer:
C
Step-by-step explanation:
In order to graph we must first simplify the inequality
40 + 10x ≥ 100
step 1 subtract 40 from each side
40 - 40 cancels out
100 - 40 = 60
we now have 10x ≥ 60
step 2 divide each side by 10
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we're left with x ≥ 6
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We will start with a closed circled on 6 and because the inequality sign is facing the varibale (x) the line will go in the direction of the right
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Evaluate 4 ÷ 3/5 Give your answer as a mixed number in its simplest form.
Answers
9514 1404 393
Answer:
6 2/3
Step-by-step explanation:
4/(3/5) = (4/1)×(5/3) = 20/3 = 6 2/3
A hose can fill a swimming pool in 12 hours. Another hose needs 2 more hours to fill the pool than the two hoses combined. How long would it take the second hose to fill the
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Step-by-step explanation:
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Answers
Answer:
d. c = 100; (x – 10)²
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
Option A shows the height of the triangle
Hope this helps!
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Answers
Answer:
$5,956.2
Step-by-step explanation:
First we need to find the amount after 5years using the formula
A =P(1+r)^n
A = 9000(1+0.06)^5
A = 9000(1.06)^5
A = 9000(1.3382)
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Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
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Step-by-step explanation:
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Answers
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Step-by-step-explain
Twice x is at most -29 into an inequality
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Thus, The answer is 2x ≤ - 29
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Step-by-step explanation:
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Step-by-step explanation:
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In ΔTUV, the measure of ∠V=90°, TV = 28, UT = 53, and VU = 45. What ratio represents the cosecant of ∠U?
Answers
Answer:
Cosecant U = 53 / 28
Step-by-step explanation:
Please see attached photo for diagram.
We'll begin by calculating the ratio of sine U. This can be obtained as follow:
Angle U = θ
Opposite = 28
Hypothenus = 53
Sine U =?
Sin θ = Opposite / Hypothenus
Sine θ = 28 / 53
Thus,
Sine U = 28 / 53
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Sine U = 28 / 53
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Cosecant U = 1 / Sine U
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Answers
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Step-by-step explanation:
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When money is spent on goods and services, those who receive the money also spend some of it. The people receiving some of the twice-spent money will spend some of that, and so on. Economists call this chain reaction the multiplier effect. In a hypothetical isolated community, the local government begins the process by spending D dollars. Suppose that each recipient of spent money spends 100c% and saves 100s% of the money that he or she receives. The values c and s are called the marginal propensity to consume and the marginal propensity to save and, of course, course, c + s = 1. Let Sn be the total spending that has been generated after n transactions.
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Answers
Solution :
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....
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
2r - 7 = 15
Add 7 to both sides.
2r = 22
Divide by 2.
r = 11
Proof:
2r - 7 = 15
2(11) - 7 = 15
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Answers
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
m=6
Step-by-step explanation: