Mathematics College

Help me please I am not sure about the answer

Answers

Answer 1

Answer:

(a)

[tex] {x}^{2} + 2x \\ = x(x + 2)[/tex]

(b)

[tex]2 {x}^{2} - 6x \\ = 2x(x - 3)[/tex]

(c)

[tex]15x - 10 {x}^{3} \\ = 5x(3 - 2 {x}^{2} )[/tex]

(d)

[tex]9 {x}^{2} + 3 {x}^{3} \\ 3 {x}^{2} (3 + x)[/tex]

Related Questions

GUYS PLEASE HELP ALMOST DUE

Answers

Answer:

1/5

Step-by-step explanation:

y = 12

12 = 1/5 x 60

12= 12

y = 9

9 = 1/5 x 45

9 = 9

and so on and it always results to one fifth

The text book store sold a combined total of 326 history and chemistry textbooks in a week. The number of chemistry textbooks sold was 86 less than the number of history textbooks sold. How many textbooks of each type was sold?

Answers

Answer:

The sentence

"The Number of Chem textbooks sold is 86 less than the number of History textbooks"

This seems to be the confusing part.

Now look at it this way...

'If CHM text is 86 less than History text... It also means that History Text is 86 More than CHM'

This expression can be written as

Let History Text be "H"

Let CHM text be "C"

C - 86 = H

C=H + 86.......1

First line of this question is interpreted thus

H + C = 326.......2

From eqn 1... C=H+86

Substitute into Eqn 2

H + C=326

H + (H+86)=326

H+H=326-86

2H=240

H=240/2

H=120.

C=H+86

C=120+86

C=206.

This answer is correct... Why?

The key statement says .. The Number of CHM sold is 86 less than History...

Also interpreted as

The Number of CHM – 86 = History

206 - 86 =120.

Have a great day!!!

A landowner wants to find the distance d across a pond. The two overlapping right triangles are similar . Using the measurements shown , what is d?

Answers

Answer:

96 m

Step-by-step explanation:

It is given that the two overlapping triangles are similar in the figure.

The landowner wishes to find the distance across the pond. The distance is d.

From the figure, since the two triangles are similar, therefore we can write :

[tex]$\frac{d}{(24+40)}=\frac{60}{40}$[/tex]

[tex]$\frac{d}{64}=\frac{60}{40}$[/tex]

[tex]$d = \frac{60}{40} \times 64$[/tex]

[tex]$d = \frac{6}{4} \times 64$[/tex]

d = 6 x 16

= 96 m

Therefore, the distance across the pond is d = 96 m

Find the first five terms that correspond with the following expression.

4n + 2

Answers

Answer:

6,10,14,18,22

Step-by-step explanation:

4n+2

Let n=1 4(1)+2 = 4+2 = 6

Let n=2 4(2)+2 = 8+2 = 10

Let n=3 4(3)+2 = 12+2 = 14

Let n=4 4(4)+2 = 16+2 = 18

Let n=5 4(5)+2 = 20+2 = 22

A clothing vendor estimates that 78 out of every 100 of its online customers do not live within 50 miles of one of its physical stores. Using this estimate, what is the probability that a randomly selected online customer does not live within 50 miles of a physical store? .78 .50 .28 .22

Answers

Answer:

[tex]p' = 0.22[/tex]

Step-by-step explanation:

Given

[tex]p = \frac{78}{100}[/tex]

Required

Probability that a [tex]customer[/tex] does [tex]not[/tex] live [tex]within[/tex] [tex]50[/tex] miles

To do this, we make use of complement rule;

Which states that:

[tex]p + p' = 1[/tex]

Make p' the subject

[tex]p' = 1 - p[/tex]

So, we have:

[tex]p' = 1 - \frac{78}{100}[/tex]

Express fraction as decimal

[tex]p' = 1 - 0.78[/tex]

[tex]p' = 0.22[/tex]

pls help me with this, i’ll give brainly

Answers

Answer:

shirts = 15 when pants = 6

Step-by-step explanation:

Try two others that are given

shirts / pants = 10 / 4 = 2.5

shirts / pants = 30/12 = 2.5

So shirts/pants = 2.5 = x/6

2.5 = x / 6 Multiply by 6

2.5 * 6 = x

x = 15

A radioactive substance decays to 30% of its original mass in 15 months. Determine the half-life of this radioactive substance to the nearest tenth. Show your work.

please help

Answers

Answer:

The half-life of this radioactive substance is of 8.6 months.

Step-by-step explanation:

Exponential decay of an amount:

The equation that models an amount after t units of time, subject to exponential decay, is given by:

[tex]A(t) = A(0)(1-r)^t[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

A radioactive substance decays to 30% of its original mass in 15 months.

This means that [tex]A(15) = 0.3A(0)[/tex]. We use this to find 1 - r.

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]0.3A(0) = A(0)(1-r)^{15}[/tex]

[tex](1-r)^{15} = 0.3[/tex]

[tex]\sqrt[15]{(1-r)^{15}} = \sqrt[15]{0.3}[/tex]

[tex]1 - r = (0.3)^{\frac{1}{15}}[/tex]

[tex]1 - r = 0.9229[/tex]

[tex]A(t) = A(0)(0.9229)^t[/tex]

Determine the half-life of this radioactive substance to the nearest tenth.

This is t for which A(t) = 0.5A(0). So

[tex]A(t) = A(0)(0.9229)^t[/tex]

[tex]0.5A(0) = A(0)(0.9229)^t[/tex]

[tex](0.9229)^t = 0.5[/tex]

[tex]\log{(0.9229)^t} = \log{0.5}[/tex]

Please help me find x and y

Answers

Answer:

x = 33

y = 5

Step-by-step explanation:

Line BD splits AC in half so y is also 5Since the triangles are congruent (is known because of the congruence lines) and you know two angles you can find x57+90=147 and 180-147= 33 which is x

for what value of x is the equation 2x-3 over -3+4 =3 true

Answers

Answer:5

Step-by-step explanation:

medical research team is conducting a study to determine whether there is a relationships between aerobic walking and cholesterol levels. A random sample of 315 subjects is selected and represented in the table below. Test the claim that walking and cholesterol levels are related. Include appropriate statistical evidence to support your findings.

Answers

Answer:

Chi-Square and Linearization ... A random sample of 315 subjects is selected and represented in the table below. ... claim that aerobic walking and cholesterol levels are related.

find the quotient of -75 divided (-15)

Answers

Answer:

Step-by-step explanation:

-75 divided (-15) = 5

the answer is 5. -75 divided by -15 equals 5

Part B: Plot point C(2,7). If M is the midpoint of CD, what are the coordinates of D?

Answers

Answer:

[tex]D = (-4,-9)[/tex]

Step-by-step explanation:

Given

[tex]C =(2,7)[/tex]

[tex]M=(-1,-1)[/tex]

Required

The coordinates of D

Represent D with:

[tex]D = (x_2,y_2)[/tex]

Using midpoint formula, we have:

[tex]M(x,y) = \frac{1}{2}(x_1 + x_2, y_1 + y_2)[/tex]

So, we have:

[tex](-1,-1) = \frac{1}{2}(2 + x_2, 7 + y_2)[/tex]

Multiply both sides by 2

[tex](-2,-2) = (2 + x_2, 7 + y_2)[/tex]

Compare both sides

[tex]2 + x_2 = -2[/tex]

[tex]7 + y_2 =-2[/tex]

In [tex]2 + x_2 = -2[/tex], we have:

[tex]x_2 =-2-2[/tex]

[tex]x_2 =-4[/tex]

In [tex]7 + y_2 =-2[/tex], we have:

[tex]y_2 = -2 - 7[/tex]

[tex]y_2 = -9[/tex]

So, the coordinates of D is:

[tex]D = (x_2,y_2)[/tex]

[tex]D = (-4,-9)[/tex]

Suppose we want to choose 5 letters without replacement from 16 distinct letters

Answers

Answer:

16P5

Step-by-step explanation:

16*15*14*13*12

It’s simple math I’m just confused

Answers

Answer:

26 units

Step-by-step explanation:

make a proportion: so sides correspond alongside eachother.

so, 15/10 =24/Y, i know you need to solve for x, but you have to find the other blank length.

now cross multiply, 10*24=15*Y

240=15Y

240/15=

Y= 16

now add Y to the length 10 to get X. So you get 10+16=26

What is the approximate volume of the cone
below?

Answers

Answer:

183 cm³

Step-by-step explanation:

V(cone) = 1/3πr²h

= (π5²·7) ÷ 3

= 175π ÷ 3

≈ 58π or 183 cm³

A rectangle has a perimeter of 14 cm and length x cm. show that the width of the rectangle is (7-x)cm and hence that the area A of the rectangle is given by the formula A= x(7-x). Draw the graph, plotting x on the horizontal axis with a scale of 2cm to 1 unit, and A on the vertical axis with a scale of 1cm to 1 unit
take x from 0 to 7. From the graph find:
a) the area of the rectangle when x = 2.25cm
b) the dimensions of the rectangle when its area is 9cm^2
c) the maximum area of the rectangle
d) the length and width of the rectangle corresponding to the maximum area
e) what shape of the rectangle has the largest area

Answers

Answer:

Step-by-step explanation:

the dimensions of the rectangle when its area is 9cm^2

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