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Lapatulllka [165]
3 years ago
8

6) 0.5334 how do I show my work ​

Mathematics
1 answer:
Goshia [24]3 years ago
3 0

Answer:

Step-by-step explanation                              if u know how  to use standered algorithim just divide the same way you divided  p.s the answer is 11.2485939258 .

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How many solutions does this equation -2(x+3)= 1/4x- (5-x) have?
pogonyaev

Answer:

the equation only has 1 solution

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
The area of the triangle formed by x− and y− intercepts of the parabola y=0.5(x−3)(x+k) is equal to 1.5 square units. Find all p
Juliette [100K]

Check the picture below.


based on the equation, if we set y = 0, we'd end up with 0 = 0.5(x-3)(x-k).

and that will give us two x-intercepts, at x = 3 and x = k.

since the triangle is made by the x-intercepts and y-intercepts, then the parabola most likely has another x-intercept on the negative side of the x-axis, as you see in the picture, so chances are "k" is a negative value.

now, notice the picture, those intercepts make a triangle with a base = 3 + k, and height = y, where "y" is on the negative side.

let's find the y-intercept by setting x = 0 now,


\bf y=0.5(x-3)(x+k)\implies y=\cfrac{1}{2}(x-3)(x+k)\implies \stackrel{\textit{setting x = 0}}{y=\cfrac{1}{2}(0-3)(0+k)} \\\\\\ y=\cfrac{1}{2}(-3)(k)\implies \boxed{y=-\cfrac{3k}{2}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of a triangle}}{A=\cfrac{1}{2}bh}~~ \begin{cases} b=3+k\\ h=y\\ \quad -\frac{3k}{2}\\ A=1.5\\ \qquad \frac{3}{2} \end{cases}\implies \cfrac{3}{2}=\cfrac{1}{2}(3+k)\left(-\cfrac{3k}{2} \right)


\bf \cfrac{3}{2}=\cfrac{3+k}{2}\left( -\cfrac{3k}{2} \right)\implies \stackrel{\textit{multiplying by }\stackrel{LCD}{2}}{3=\cfrac{(3+k)(-3k)}{2}}\implies 6=-9k-3k^2 \\\\\\ 6=-3(3k+k^2)\implies \cfrac{6}{-3}=3k+k^2\implies -2=3k+k^2 \\\\\\ 0=k^2+3k+2\implies 0=(k+2)(k+1)\implies k= \begin{cases} -2\\ -1 \end{cases}


now, we can plug those values on A = (1/2)bh,


\bf \stackrel{\textit{using k = -2}}{A=\cfrac{1}{2}(3+k)\left(-\cfrac{3k}{2} \right)}\implies A=\cfrac{1}{2}(3-2)\left(-\cfrac{3(-2)}{2} \right)\implies A=\cfrac{1}{2}(1)(3) \\\\\\ A=\cfrac{3}{2}\implies A=1.5 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{using k = -1}}{A=\cfrac{1}{2}(3+k)\left(-\cfrac{3k}{2} \right)}\implies A=\cfrac{1}{2}(3-1)\left(-\cfrac{3(-1)}{2} \right) \\\\\\ A=\cfrac{1}{2}(2)\left( \cfrac{3}{2} \right)\implies A=\cfrac{3}{2}\implies A=1.5

7 0
3 years ago
HELP<br> what is the value of “ c”
Alex

Answer:

7

Step-by-step explanation:

When you match the form

... ax² + bx + c = 0

to the equation

... 3x² + 5x + 7 = 0

it is reasonable to conclude that ...

... a = 3, b = 5, c = 7.

_____

The question presumes you are familiar with the form

... ax² +bx +c = 0

which is often used as the representation of a general quadratic equation. This lets us use a, b, and c instead of specific numbers, to talk about ways of factoring, graphing, or solving equations like this.

6 0
3 years ago
Which of the following functions is linear
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A is linear because nothing is being added or subtracted from the original number which is 3 to the power of x. All of the other answers are either adding or subtracted an addition number that do not cancel out.
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3 years ago
The table represents some measurements that Johnny recorded in his math class. What values COULD x and y represent, respectively
Law Incorporation [45]
Based on the given data set:

x   1   2   3    4  5 
y   1   8   27 64 125

the relationship between the two variables is notably:

y = x^3

this formula represents the volume of a cube:

V = s^3

Therefore, the answer is C) Side length and volume of a cube. 
4 0
3 years ago
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