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4 years ago

Use the intermediate value theorem to determine whether the polynomial function has a real zeros between the given integers.

1 answer:

3 0

$f(1)=-5\cdot1^4+8\cdot1^3+6\cdot1+1=-5+8+6+1=10\\
f(2)=-5\cdot2^4+8\cdot2^3+6\cdot2+1=-80+64+12+1=-3\\\\
f(1)>0\\
f(2)$
It does.

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From the top of an 95 meter cliff, Tim spots a hiker down below at an angle

kirza4 [7]

Step-by-step explanation:

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7 0

3 years ago

How do you find the answer

liubo4ka [24]

It is E X= 22

J LINE SUPPLEMENTARY ANGLE so
the angle is = 180 - (5x-16 ) = 180-5x +16 =196 -5x ( angle in the triangke )

the other angle in the triangle = 50 ( alt interior angles line l parallel m
then we took the triangle sum = 180

196 -5x + 2x +50 = 180
so x = 22

4 0

3 years ago

Which sequences of transformations will map circle M onto circle N?

sergiy2304 [10]

Answer:

1: Reflect M across the x-axis

2: Dilate about the center by 3/2

Step-by-step explanation:

Given

See attachment for M and N

Required

Which maps M to N

The coordinates of the radius of the circles are:

$M = (5,5)$

$N = (5,-5)$

And the radius of circles are:

$r_M=2$

$r_N=3$

The first transformation from M to M' is:

- Reflect across the x-axis

The rule is:

$(x,y) \to (x,-y)$

$M(5,5) \to M'(5,-5)$

At this point, M' and N now have the same center but different radius.

The second transformation from M' to N is:

- Dilate about the center by dividing the radius of N by the radius of M

i.e.

$k =\frac{r_N}{r_M}$

$k =\frac{3}{2}$

At this point, M has been completely mapped to N.

4 0

3 years ago

you are running a fuel economy study. One of the cars you find is blue. It can travel 31 1/2 miles on 1 1/4 gallons of gasoline.

SIZIF [17.4K]

Answer:

Step-by-step explanation:

Blue Car: (31 1/2 miles)/(1 1/4 gallons)

(63/2) miles / (5/4) gallons

(63/2)*(4/5) = 25.2 miles/gallon.

Red Car: (27 1/5 miles)/(4/5 gallon)

= 34 miles/gallon.

The Red Car will travel the furthest.

7 0

3 years ago

A rectangular area of land is being sold off in smaller pieces. The total area of the land is 2^15 square miles. The pieces bein

Nesterboy [21]

Total area of the rectangular land = 2^15 sq. miles
= 32768 sq. miles

total area of the pieces being sold = 8^3 sq. miles
= 512 sq. miles

now total no. of pieces = total area of the land / the area of samaller land that's being sold
= 32768 / 512
= 64

so the actual number of pieces is 64

4 0

4 years ago

Read 2 more answers