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3 years ago

A number x is more than -6 and at most -1

Mathematics

2 answers:

Galina-37 [17]3 years ago

8 0

Answer:

-6<x(less than but equal to sign its not on my keyboard)-1

Step-by-step explanation:

WINSTONCH [101]3 years ago

3 0

Answer:

-6<x≥-1

Step-by-step explanation:

-6<x≥-1

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Three angles are supplementary. One angle measures 112 degrees and another angle measures 8 degrees. What is the measure of the

sertanlavr [38]

Answer:

The degree of the 3rd angle is 60 degrees.

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3 years ago

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3.15 Linear Equations and Inequalities (SHOW YOUR WORK)

Nutka1998 [239]

Answer:

A- Quadrant one.

B- Quadrant three.

Step-by-step explanation:

So, the quadrants go counter-clockwise, starting at the top right which is Quadrant one. Therefore, A is in one. Using that information, we can assume that B is in Quadrant three.

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3 years ago

The volume V of an ice cream cone is given by V = 2 3 πR3 + 1 3 πR2h where R is the common radius of the spherical cap and the c

Nuetrik [128]

Answer:

The change in volume is estimated to be 17.20 $\rm{in^3}$

Step-by-step explanation:

The linearization or linear approximation of a function $f(x)$ is given by:

$f(x_0+dx) \approx f(x_0) + df(x)|_{x_0}$ where $df$ is the total differential of the function evaluated in the given point.

For the given function, the linearization is:

$V(R_0+dR, h_0+dh) = V(R_0, h_0) + \frac{\partial V(R_0, h_0)}{\partial R}dR + \frac{\partial V(R_0, h_0)}{\partial h}dh$

Taking $R_0=1.5$ inches and $h=3$ inches and evaluating the partial derivatives we obtain:

$V(R_0+dR, h_0+dh) = V(R_0, h_0) + \frac{\partial V(R_0, h_0)}{\partial R}dR + \frac{\partial V(R_0, h_0)}{\partial h}dh\\V(R, h) = V(R_0, h_0) + (\frac{2 h \pi r}{3} + 2 \pi r^2)dR + (\frac{\pi r^2}{3} )dh$

substituting the values and taking $dx=0.1$ and $dh=0.3$ inches we have:

$V(R_0+dR, h_0+dh) =V(R_0, h_0) + (\frac{2 h \pi r}{3} + 2 \pi r^2)dR + (\frac{\pi r^2}{3} )dh\\V(1.5+0.1, 3+0.3) =V(1.5, 3) + (\frac{2 \cdot 3 \pi \cdot 1.5}{3} + 2 \pi 1.5^2)\cdot 0.1 + (\frac{\pi 1.5^2}{3} )\cdot 0.3\\V(1.5+0.1, 3+0.3) = 17.2002\\\boxed{V(1.5+0.1, 3+0.3) \approx 17.20}$

Therefore the change in volume is estimated to be 17.20 $\rm{in^3}$

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3 years ago

Consider the parabola given by the equation: f ( x ) = − 2 x 2 − 14 x − 1 Find the following for this parabola: A) The vertex: (

LiRa [457]

Answer:

a) (-3.5;23.5)

b) (0,-1)

c) (-0.07;0) and (-6.93;0)

Step-by-step explanation:

f(x) = − 2x² − 14 x − 1

a) vertex

b) vertical intercept

c) 2 x intercept (round to two decimal places)

a) Vertex (-b/2a; -Δ/4a)

a = -2 | b = -14 | c = -1

xv = -(-14)/2.(-2) = 14/-4 = -3.5

Δ = b² - 4ac = (-14)² - 4.(-2).(-1) = 196 - 8 = 188

yv = -188/4.(-2) = -188/-8 = 23.5

Vertex(-3.5;23.5)

b) vertical intercept ⇒ x = 0

f(0) = -2.0² - 14.0 - 1 = -1

vertical intercept: (0,-1)

c) x intercept ⇒ roots

Δ = b² - 4ac = (-14)² - 4.(-2).(-1) = 196 - 8 = 188

√Δ = √188 = 13.71

x = -(-14) ± 13.71/2.(-2) = 14 ±13.71/-4

x' = 14 -13.71/-4 = -0.07

x" = 14 + 13.71/-4 = -6.93

So, the x intercept points are (-0.07;0) and (-6.93;0)

7 0

3 years ago

How to perform Basic algebra problems

slavikrds [6]

Answer

if you have 18a÷(-6)

solution

18×a/-6

you will use 2 since it can go and it is the lowest number that can go so u will use it

18÷2=9

6÷2=3

since 2 can not go again you will use 3 if three can not go you should use another number.

since it is remaining 9

you will say

9÷3=3

3÷3=1

remember the a up you add it so it will become 3a

7 0

3 years ago