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Anastasy [175]
2 years ago
8

[asy] size(7cm); draw((1.8,0)--(3.2,0),Arrows); draw((2,0.03)--(2,-0.03)); draw((3,0.03)--(3,-0.03)); for(real i=15/7; i<2.9;

i+=1/7){ draw((i,0.02)--(i,-0.02)); }; label("2",(2,-0.02),S); label("3",(3,-0.02),S); label("$\heartsuit$",(16/7,-0.01),S,red); [/asy] What is the simplest fraction whose value is equal to the number $\textcolor{red}{\heartsuit}$ depicted on this number line?
Mathematics
1 answer:
shutvik [7]2 years ago
3 0

Answer:

2 2/7

Step-by-step explanation:

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Lisa, an experience shipping clerk, can fill a certain order in 10 hours. Bill, a new clerk, needs 13 hours to do the same job.
Lelu [443]
I think 11 hours and 30 minutes
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3 years ago
If f(x)=2x^3-6x^2-16x-20f(x)=2x *3 −6x *2−16x−20 and f(5)=0, then find all of the zeros of f(x)f(x) algebraically.
mihalych1998 [28]

The zeros of the cubic function f(x) = 2x³ - 6x² - 16x - 20 are given as follows:

x = 5, x = -1 + i, x = -1 - i.

<h3>How to obtain the solutions to the equation?</h3>

The equation is defined by the rule presented as follows:

f(x) = 2x³ - 6x² - 16x - 20.

One solution for the equation is given as follows:

x = 5.

Because f(5) = 0.

Then (x - 5) is a linear factor of the function f(x), which can be written as follows:

2x³ - 6x² - 16x - 20 = (ax² + bx + c)(x - 5).

This is because the product of a linear function and a quadratic function results in a cubic function.

Now we expand the right side to begin finding the coefficients of the quadratic function that we are going to solve to find the remaining zeros:

2x³ - 6x² - 16x - 20 =  = ax³ + (b - 5a)x² + (c - 5b)x - 5c.

Then these coefficients are obtained comparing the left and the right side of the equality as follows:

  • a = 2.
  • -5c = -20 -> c = 4.
  • b = -6 + 5a = 4.

Hence the equation is:

2x² + 4x + 4.

Using a quadratic equation calculator, the remaining zeros are given as follows:

  • x = -1 + i.
  • x = -1 - i.

More can be learned about the solutions of an equation at brainly.com/question/25896797

#SPJ1

8 0
10 months ago
What is the result when 212 is increased by 28%?
zhenek [66]

212 + 28% = <span>271.36</span>

<span>Hope it helps! :D</span>

5 0
3 years ago
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What’s the area of a triangular pyramid
Masja [62]

Answer:

a=bh/2

Step-by-step explanation:

6 0
3 years ago
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∠A and \angle B∠B are supplementary angles. If m\angle A=(7x+10)^{\circ}∠A=(7x+10) ∘ and m\angle B=(7x-26)^{\circ}∠B=(7x−26) ∘ ,
blsea [12.9K]

Answer:

108 degrees

Step-by-step explanation:

Since angles A and B are supplementary, they both add up to 180. Angle A = 7x+10, and angle B = 7x-26. You can set up the equation A + B = 180, and then plug in angles A and B, which gives you 7x+10 + 7x-26 = 180. Then you just need to isolate x:

Combine like terms: 14x - 16 = 180

Add 16 to both sides: 14x = 196

Divide both sides by 14: x = 14

Now that you know x, you can plug it into the expression for angle A (7x+10):

A = 7(14) + 10 = 98+10 = 108

5 0
2 years ago
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