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Mathematics

2 answers:

hoa [83]3 years ago

7 0

Answer:

im my opionion i would say 7.875 or 7.9 hours with thme working together combined thats my estimate dont hate me if its wrong ;|

Step-by-step explanation:

snow_tiger [21]3 years ago

5 0

If Bob can do it alone in 14 hours then he can do 1/14 of the job each hour

James can do 1/18 of the job each hour.

let x = time it takes them working together

then

x/14 + x/18 = 1 (this statement says that the number of hours x times Bob's rate and James's rate added will give 1 or the full job

18x + 14x = 252

32x = 252

x = 7.875 hours (time to finish when working together

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Which of the following points lies on the graph of y = x 2 - 2x + 6? (-3, 21) (-2, 0) (-1, 10)

gulaghasi [49]

Answer:

$\textbf{None of them. }\\$

Step-by-step explanation:

$\textup{\textbf{For the points to be on the graph substitute for $x$ and $y$ and check for equality.}}\\\textup{The function given is:}\\$$ x^2 + 2x + 6 $$ \\\textup{Let us check for $(-3,21)$}\\$

$$ i.e., {(-3)}^2 + 2(-3) + 6 = 9 \ne 21 $\\\textup{That means the point is not on the graph.}\\\textup{Similarly, for $(-2,0)$ we see that}\\$ {(-2)}^2 + 2(-2) + 6 = 6 \ne 0 $\\\textup{Similarly check for $(-1,10)$ to find out that it isn't satisfied as well.}\\$

$\textup{\textbf{Hence, we conclude none of the points satisfy the equation.}}$

6 0

3 years ago

Read 2 more answers

The image of a parabolic lens is projected onto a graph. The image crosses the x-axis at –2 and 3. The point (–1, 2) is also on

Nezavi [6.7K]

For x-intercepts "b" and "c", a quadratic can be written as
y = a(x -b)(x -c)

You know the x-intercepts, so you can write the equation as
y = a(x +2)(x -3) . . . . . . eliminates the first two answer choices

Substituting (x, y) = (-1, 2), you have
2 = a(-1+2)(-1-3) = -4a
Then dividing by -4 gives
-2/4 = a = -1/2 . . . . . corresponds to the third answer choice

The appropriate selection is
y = -1/2 (x + 2)(x - 3)