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meriva
3 years ago
7

PLZ Help ME

Mathematics
1 answer:
grin007 [14]3 years ago
8 0

Answer:

Step-by-step explanation:

B A B B

On Desmos, the derivative (slope) of a function can be shown by using a "prime" (apostrophe) after the function name. Here, we've drawn a dashed blue curve to show where the slope of g(x) exceeds that of f(x). g(x) has a greater slope for all values of x that are more than 4. Any interval bounded by 4 on the left end will be an interval in which the slope of g(x) exceeds the slope of f(x).

Without the graphing calculator, you can estimate that that a line parallel to f(x) will be tangent to g(x) at about x=4. Then for points to the right of that, g(x) has greater slope. Your interval [4, 5] is the only offering for Blank 1 that is appropriate.

The slope of any linear function will "remain constant", so you only need to decide if the slope of g(x) is increasing or decreasing. Your consideration of the curve already should tell you the slope will "increase" as x gets larger.

The value of f(x) is very close to the value of g(x) at x=7. They are the same when x is about x = 7.016. Up to that point, f(x) is larger. f(7) = 27; g(7) = 26.8435456. There should be no argument.

An exponential function eventually exceeds any kind of polynomial function as x gets large.

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3 years ago
Circle P has a circumfrence of aproximately 75 inches what is the aproximate length of the radius, r? Use 3.14 for pi. Round to
ratelena [41]

Answer:

The approximate length of the radius, r is 12 inch.

Step-by-step explanation:

Given:

A circle P is given having circumference C,

C = 75 inch

pi = π = 3.14

radius = r

To Find:

radius = r = ?

Solution:

Circumference:

In geometry, the circumference (from Latin circumferens, meaning "carrying around") of a circle is the (linear) distance around it.

That is, the circumference would be the length of the circle if it were opened up and straightened out to a line segment.

Formula is given as

Circumference=2\pi (radius)

Substituting the values we get

75 = 2 × 3.14 × r

∴ r =\frac{75}{2\times 3.14}\\ \\r=\frac{75}{6.28} \\\\r=11.942\ inches

We approximate radius to

radius = 12 inich

7 0
3 years ago
The regular price of an item is $120. The item is on sale at a discount rate of 20%.
Natali [406]
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= 120 - (120*0.20)
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Hope this helps!
6 0
4 years ago
If you plot and connect these points P1(3,2) and P2(6,8) , what figure is Formed? What is the Direction?
Sergio [31]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the points

  • P1(3, 2)
  • P2(6, 8)

When we plot P1(3, 2) and P2(6, 8), we determine the line segment P1P2.

The direction of the segment is from P1 to P2.

Determining the length of the segment P1P2.

\:l=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

  =\sqrt{\left(6-3\right)^2+\left(8-2\right)^2}

  =\sqrt{3^2+6^2}

  =\sqrt{45}

  =\sqrt{5}\sqrt{3^2}

  =3\sqrt{5}

Thus, the length of the segment is:

\:\:\:l=3\sqrt{5}

Determining the equation of a line containing the segment P1P2

Given the points

  • P1(3, 2)
  • P2(6, 8)

Finding the slope between P1(3, 2) and P2(6, 8)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(3,\:2\right),\:\left(x_2,\:y_2\right)=\left(6,\:8\right)

m=\frac{8-2}{6-3}

m=2

Using the line point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 2 and the point (3, 2)

y-2=2\left(x-3\right)

Add 2 to both sides

y-2+2=2\left(x-3\right)+2

y=2x-4

Thus, the equation of a line containing the line segment P1P2 is:

y=2x-4

8 0
3 years ago
What 2 numbers multiply to -31 and add to 1​
olga_2 [115]
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