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DENIUS [597]
3 years ago
15

What is the value of t? 3.5(t+6)=7 A. -4 B. -0.25 C. 0.25 D. 4

Mathematics
2 answers:
Sati [7]3 years ago
7 0
3.5t+21=7     Distribute the 3.5 in the parenthesis
3.5t= -14       Subtract 21 from both sides
t= -4              Divide 3.5 from both sides.
Gelneren [198K]3 years ago
3 0
A because when you distribute you get 3.5t + 21 = 7. Then subtract 21 from both sides to get 3.5t = -14. Then divide both sides by 3.5t to get -4. 
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a. 62x5=310 (The average times 5, cause there are 5 of them will get you the total number of inches)

b. 310-254=56 (Subtract the total number of the 5 of them with the 4 of them to find Bill's height)

you can check your answer by adding all their heights.

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A jar contains three red marbles and five green marbles. A marble is drawn at random and not replaced. A second marble is then d
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Find the value of x for which the function y = x5-x³ + x² - 1 has a local minimum.
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The given function presents a local minimum in the coordinates (0,-1).

<h3>Factoring</h3>

In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization.  One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.

For solving this question, the given equation should be rewritten  from the factoring.

x^5-x^3+x^2-1=\left(x+1\right)^2\left(x-1\right)\left(x^2-x+1\right)=0. Then, you have 3 equations.

From the Zero Factor Principle, you can write

Equation 1

(x+1)²=0

x+1=0

x= -1

Equation 2

x-1=0

x=1

Equation 3

x²-x+1=0

x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\cdot \:1\cdot \:1}}{2\cdot \:1}\\ \\ x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{3}i}{2\cdot \:1}

From these points it is possible to plot a graph and you can see that the local minimum presents the coordinates (0,-1).

Read more about the factoring here:

brainly.com/question/11579257

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