Solve the following equation for t.
−2t^2+t+28=0
Answers
-2t²+t+28=0
==>2t²-t-28)=0
==>2t²-8t+7t-28=0
==>2t(t-4)+7(t-4)=0
==>(t-4)(2t+7)=0
==>t=4 or t=-7/2
Final answer:
The solution to the equation -2t^2 + t + 28 = 0 is found by applying the quadratic formula. Upon simplification, the possible values for 't' are 4 and -3.5.
Explanation:
The subject of the question is Mathematics and it is related to the concept of Quadratic Equations. Then, we are given the quadratic equation -2t^2 + t + 28 = 0 and asked to solve for 't'. We can solve quadratic equations using quadratic formula which is given by -b ± √(b^2 - 4ac) / 2a.
- First, identify the coefficients. In this equation the coefficients are: a=-2, b=1, and c=28
- Then Substitute these coefficients into the quadratic formula: t = [ -b ± sqrt (b^2 - 4ac) ] / 2a
- This gives: t = [ -1 ± sqrt ((1)^2 - 4*(-2)*28) ] / 2*(-2)
- Simplifying further gives: t = [ -1 ± sqrt (1 + 224)] / -4
- So, the possible values of t are: t = [ -1 ± sqrt ( 225 ) ] / -4
- Finally, we get the solutions: t = [ -1 ± 15 ] / -4
- This simplifies to t = 4 or t = -3.5
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Answers
now, keeping in mind that a circular clock has 360° total, and there are 12 hours labeled on it evenly, so the angle between each hour label is 360 ÷ 12 = 30.
so, from 3pm to 5pm, it moved by 30° + 30° = 60°.
from 5pm to 5:30, that's only half an hour, so it moved half 30°, or 15°.
60° + 15° = 75°.
Answers
The number is 12.
What is algebraic expression?
A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11
Given
let number be x.
3x-24 = x
3x-x = 24
2x=24
x = 12
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Answers
Answer:
hours will it take to fill 4 aquarium
Step-by-step explanation:
Unit rate defined as the rates are expressed as a quantity 1, such as 3 feet per second or 6 miles per hour, they are called unit rate
As per the statement: Terrence was filling the new fish aquariums where he works. He was able to fill aquariums in
hours.
Substitute the given values we get;
Simplify:
Now, to find the number of hours will it take to fill 4 aquarium.
or
therefore, it will take to fill aquarium is, hours
1 1/3 - 2 1/2
2 2/3 - 5
4- 7 1/2
Answers
Answer:
a = 3
Step-by-step explanation:
f(x) = a(bˣ)
At x = 0
f(0) = a(b⁰)
f(0) = a(1)
f(0) = a
From the graph
f(0) = 3
Therefor
a = 3
I need to calculate the derivative of this function but it will be difficult without even knowing what the 2 means lol.
Thnx in advance
Answers
It means you have to multiply log(x) by itself.
edit: added image
Answers
Answer:
The value of k is -7
Step-by-step explanation:
We are given the graph of f(x) and g(x). If g(x)=f(x)+k
If we shift f(x) k unit vertical get g(x).
If k>0 then shift up
If k<0 then shift down.
f(x) and g(x) are both parabola curve.
First we find the vertex of f(x) and g(x)
Vertex of f(x) = (3,1)
Vertex of g(x) = (3,-6)
We can see change in y co-ordinate only.
f(x) shift 7 unit down to get g(x)
g(x)=f(x)-7
Therefore, The value of k is -7
moved from 1 to -6
movement up -7 units
k=-7