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3 years ago

Please help it’s due tonight Math

Mathematics

1 answer:

gayaneshka [121]3 years ago

5 0

Answer:

m < 36

yes, Jamie is correct.

Step-by-step explanation:

I've bolded the statements that you can put down to show your work

the maximum that Jamie is willing to practice for the week is 300 minutes, so you can start by creating an inequality for that.

total minutes throughout the week < 300

next, you know that a week is monday through friday + the weekend, and the amount of minutes Jamie will practice for the weekend is already given.

so, you can rewrite the earlier inequality like so

Monday through Friday practice + 120 < 300

since Jamie plans to practice the same amount of time (m) for each day, and there are 5 days between monday and friday, you can substitute values in the equation

5m + 120 < 300

simplify

5m < 300 - 120

5m < 180

m < 36

since half an hour is 30 minutes, the answer is yes, Jamie's claim is correct.

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Trapezoid ABCD is shown on the graph. If the trapezoid is rotated 90 degrees

professor190 [17]

Answer:

The coordinates of C" are (-7, 4)

Step-by-step explanation:

If the point (x, y) rotated about the origin by angle 90° counterclockwise, then its image is (-y, x)

If the point (x, y) translated horizontally to the left by h units, then its image is (x - h, y)

From the given figure

∵ ABCD is a trapezoid

∵ The coordinates of the ponit C are (4, 1)

∴ x = 4 and y = 1

∵ The trapezoid is rotated 90 degrees counterclockwise about the origin

→ By using the 1st rule above, change the sigh of y and switch them

∴ C' = (-y, x)

∴ C' = (-1, 4)

∵ The resulting image is translated 6 units left

→ By using the 2nd rule above subtract the x-coordinate by 6

∴ C" = (x - h, y)

∵ h = 6

∵ x = -1 and y = 4

∴ C" = (-1 - 6, 4)

∴ C" = (-7, 4)

∴ The coordinates of C" are (-7, 4)

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Step-by-step explanation:

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Step-by-step explanation:

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Write the equation of the parabola that has the vertex at point (− 1/2 ,2.3) and passes through the point (5,2 3/4 ).

Alex73 [517]

Answer:

The equation of parabola in vertex form is $y=0.015(x+0.5)^2+2.3$

Step-by-step explanation:

Given coordinate of vertex is $(-\frac{1}{2},2.3)$ and the parabola passes through the point $(5,2\frac{3}{4})$

So, the equation of parabola in vertex form is

$y=a(x-h)^2+k$

Where $(h,k)$ is the coordinate of the vertex.

$(h,k)=(-\frac{1}{2},2.3)=(-0.5,2.3).\\\\So,\ h=-0.5\ and\ k=2.3$

Plugging these value in equation we get,

$y=a(x-(-0.5))^2+2.3\\\\y=a(x+0.5)^2+2.3$

Now, we will find the value of $a$

Plug the coordinate $(5,2\frac{3}{4})$

$(x,y)= (5,2\frac{3}{4})\\\\(x,y)=(5,\frac{11}{4})\\\\(x,y)=(5,2.75)$

$2.75=a(5-(-0.5))^2+2.3\\\\2.75=a(5+(0.5))^2+2.3\\\\2.75=a(5.5)^2+2.3\\\\2.75=a\times30.25+2.3\\\\2.75-2.3=a\times30.25\\\\0.45=a\times30.25\\\\\frac{0.45}{30.25}=a\\ \\a=0.0149$

Plug the value of $a$ in the equation $y=a(x+0.5)^2+2.3$

So, the equation of parabola with vertex $(-\frac{1}{2},2.3)$ and passes through the point $(5,2\frac{3}{4})$ is

$y=0.0149(x+0.5)^2+2.3$ ≅ $y=0.015(x+0.5)^2+2.3$

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