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xxTIMURxx [149]
3 years ago
11

You can model the entrance to a mine shaft using the equation

Mathematics
2 answers:
VLD [36.1K]3 years ago
8 0
Hey there,

<span>You can model the entrance to a mine shaft using the equation
y = − 2 (x + 4)(x − 4), where x and y are measured in feet. The x-axis represents
the ground. Find the width of the entrance at ground level. 

Based by looking on this question above, your correct answer would be . . .

</span>\boxed{y=8} and \boxed{x=-1}
<span>
Hope this helps.
~Jurgen</span>
Furkat [3]3 years ago
4 0

y=-1/2 2 (x+4)(x+-4+

-1/2*2 = -1

y=-1(x+4)(x-4)

solving for x

x - -4 and x =4

-4 to 4 = 8 feet

 width = 8 feet

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. A television is advertised for sale at 33% off. The original price is x dollars. (a) Write two different equivalent expression
Pavlova-9 [17]

Answer:

x-(x times 33%)  or x times (100-33)%

Step-by-step explanation:

8 0
2 years ago
Avery’s water bottle holds 300 milliliters. Dashawn’s container holds 3/4 as much water how much do both containers hold?
GarryVolchara [31]

Answer: Avery's bottle holds 300 milliliters. If Dashawn's container holds 3/4 as much, then his container can hold 225 milliliters. Added together, both containers can hold 525.

Step-by-step explanation: 3/4 of 300 is 225. 300 + 225 = 525.

7 0
3 years ago
CALCULUS: For the function whose values are given in the table below, the integral from 0 to 6 of f(x)dx is approximated by a Re
ladessa [460]

The table gives values of <em>f(x)</em> at various <em>x</em> in the interval [0, 6], and you have to use them to approximate the definite integral,

∫₀⁶ <em>f(x)</em> d<em>x</em>

with a left-endpoint sum using 3 intervals of width 2. This means you have to

• split up [0, 6] into 3 subintervals of equal length, namely [0, 2], [2, 4], and [4, 6]

• take the left endpoints of these intervals and the values of <em>f(x)</em> these endpoints, so <em>x</em> ∈ {0, 2, 4} and <em>f(x)</em> ∈ {0, 0.48, 0.84}

• approximate the area under <em>f(x)</em> on [0, 6] with the sum of the areas of rectangles with dimensions 2 × <em>f(x)</em> (that is, width = 2 and height = <em>f(x)</em> for each rectangle)

So the Riemann sum is

∫₀⁶ <em>f(x)</em> d<em>x </em>≈ 2 ∑ <em>f(x)</em>

for <em>x</em> ∈ {0, 2, 4}, which is about

∫₀⁶ <em>f(x)</em> d<em>x </em>≈ 2 (0 + 0.48 + 0.84) = 2.64

making the answer A.

7 0
2 years ago
Orlando is measuring the angles of a triangle. He measures the first two angles and gets 30° and 70°. What should be the measure
Andrei [34K]
The answer will be B because all three angles of the triangles add up to180 degrees, and we already know the total of two other angles are 100 degrees, which made the unknown angles have 80 degrees. Hope it help!
8 0
3 years ago
Read 2 more answers
Write an equation of the line with the given slope and y-intercept,(4,3) and (0,1)
PSYCHO15rus [73]

Answer:

y=1/2x+1

Step-by-step explanation:

First use slope formula.

\frac{y2-y1}{x2-x1}

Plug in the information needed.

\frac{1-3}{0-4}=\frac{-2}{-4}=\frac{1}{2}

The slope is \frac{1}{2}.

Now, use point-slope formula.

y-y1=m(x-x1)

Plug in the information needed.

y-3=1/2(x-4)

y-3=1/2x-2

y=1/2x+1

The equation of the line in slope-intercept form is y=1/2x+1.

Hope this helps!

If not, I am sorry.

5 0
1 year ago
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