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4 years ago

Help me answer this? Thanks :)

Mathematics

1 answer:

sweet [91]4 years ago

8 0

An expression is undefined when you divide by zero. A simple example is 1/0 which in english is "one over zero"

You cannot have zero in the denominator. Something like 0/1 is allowed as it is equal to 0. In other words, 0/1 = 0. But 1/0 is not allowed.

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1.An ice cream cone has a radius of 3 inches and a height of 5 inches. Which measurement is the closest to the volume in cubic i

Murljashka [212]

First question
Volume = height * radius*radius*3.14
5*3*3*3.14 = 141.3 in3

Second qustion
Violume = height * radius * radius * 3.14
28*8*8*3.14= 5626.88 cm3
So the answer is 1875.63 because it's the closest

4 0

3 years ago

Read 2 more answers

A man took a trip, traveling by train. He looked out the window during the first 1/3 of the trip. He then slept for 1/5 of the r

kifflom [539]

Answer: 528 km

Step-by-step explanation:

Let x be the total distance traveled by train.

Then, the total time he spent on looking outside the window and in sleeping = $\frac{x}{3}+\frac{x}{5}=\frac{8x}{15}$

Then the remaining distance = $x-\frac{8x}{15}=\frac{7x}{15}$

The time he spent on reading = $\frac{1}{2}\times(\frac{7x}{15})=\frac{7x}{30}$

Since, the train traveled 17.6 km more while he read than while he slept.

Then,

$\frac{7x}{30}-\frac{x}{5}=17.6\\\Rightarrow\ \frac{7x-6x}{30}=17.6\\\Rightarrow\ \frac{x}{30}=17.6\\\Rightarrow\ x=30\times17.6\\\Rightarrow\ x=528$

Hence, the train traveled 528 km.

7 0

3 years ago

A linear function has the same y-intercept as x + 4y = 12 and its graph contains the point (9,5). Find the slope of the linear f

ziro4ka [17]

The answer is A: a slope of 2/9

First you need to change find the y-intercept by converting the standard form equation to slope-intercept form. The goal is to isolate y:

x + 4y = 12

x + 4y - x = 12 - x

4y = 12 - x

4y / 4 = 12/4 - x

y = 3 - x

Change so that the slope is before the intercept:

y = -x + 3

Now we know that the y-intercept is 3.

Use the slope equation, which is y2 - y1/x2 - x1, is find the slope:

5 - 3/9 - 0 = 2/9

So, the slope is 2/9!

6 0

3 years ago

Given f(x)=2x^2+3x-5 for what values of x is f(x) positive

kow [346]

Answer:

The function f(x) is positive in the interval (-≠,-2.5) ∪ (1,∞)

Step-by-step explanation:

we have

$f(x)=2x^{2}+3x-5$

This is a vertical parabola open upward (the leading coefficient is positive)

The vertex is a minimum

The coordinates of the vertex is the point (h,k)

step 1

Find the vertex of the quadratic function

Factor the leading coefficient 2

$f(x)=2(x^{2}+\frac{3}{2}x)-5$

Complete the square

$f(x)=2(x^{2}+\frac{3}{2}x+\frac{9}{16})-5-\frac{9}{8}$

$f(x)=2(x^{2}+\frac{3}{2}x+\frac{9}{16})-\frac{49}{8}$

Rewrite as perfect squares

$f(x)=2(x+\frac{3}{4})^{2}-\frac{49}{8}$

The vertex is the point (-\frac{3}{4},-\frac{49}{8})

step 2

Find the x-intercepts (values of x when the value of f(x) is equal to zero)

For f(x)=0

$2(x+\frac{3}{4})^{2}-\frac{49}{8}=0$

$2(x+\frac{3}{4})^{2}=\frac{49}{8}$

$(x+\frac{3}{4})^{2}=\frac{49}{16}$

take the square root both sides

$x+\frac{3}{4}=\pm\frac{7}{4}$

$x=-\frac{3}{4}\pm\frac{7}{4}$

$x_1=-\frac{3}{4}+\frac{7}{4}=1$

$x_2=-\frac{3}{4}-\frac{7}{4}=-2.5$

therefore

The function f(x) is negative in the interval (-2.5,1)

The function f(x) is positive in the interval (-≠,-2.5) ∪ (1,∞)

see the attached figure to better understand the problem

6 0

3 years ago

The relation shown in the table represents what a local electrician charges each hour of work. The electrician charges 30$ servi

drek231 [11]

Answer:

the 30$ service fee is the independent

Step-by-step explanation:

because it doesn't rely on hours worked. and it's a separate fee.

7 0

3 years ago