If f(x) = 6x2 - 4 and g(x) = 2x+ 2, find (f - g)(x).
O A. 6x2 - 2x - 6
O B. 6x2 - 2x-2
O c. 44²-6
O D. 2x - 5x2 - 2

Answer:

m=-1/4 or - 0.25

watch explanation

Answer:

- 1/4

Step-by-step explanation:

slope (m) = difference of y / difference of x

m = (10 - 11) / (-4 - (-8)) = -1 / 4

Answer:

[tex]V=\frac{49}{2}\ cm^3[/tex]

or

[tex]V=24.5\ cm^3[/tex]

Step-by-step explanation:

we know that

The volume of the rectangular prism is

[tex]V=LWH[/tex]

where

L is the length

W is the width

H is the height

substitute the given values in the formula

[tex]V=(\frac{7}{5})(5)(\frac{7}{2})[/tex]

[tex]V=\frac{245}{10}\ cm^3[/tex]

Simplify

[tex]V=\frac{49}{2}\ cm^3[/tex] ---> fraction form

or

[tex]V=24.5\ cm^3[/tex] ----> decimal form

The volume of the rectangular prism is 24.5 cm³.

To find the volume of a rectangular prism, you use the formula Volume = length × width × height. Given the dimensions of the prism are 7/5 cm by 5 cm and 7/2 cm, we calculate the volume by multiplying these three dimensions together.

Volume = (7/5) cm × 5 cm × (7/2) cm

First, simplify the calculation by multiplying the whole numbers: Volume = (7 × 5 × 7) / (5 × 2) cm³, which simplifies to Volume = 49/2 cm³. Then, divide 49 by 2 to get Volume = 24.5 cm³.

Answer: 23.548

Step-by-step explanation: The thousandths place is 3 places to the right of the decimal point so in this problem, the digit in the rounding place is 8.

The rules of rounding says that if the digit to the right of the rounding place is greater than or equal to 5, we round down but if the digit to the right of the rounding place is less than 5, we round down.

Since the digit to the right of the rounding place, 1, is less than 5, we round down. This means that the digit in the rounding place which is 8 stays the same and we change all digits to the right of 8 to zero.

So we have 23.5480.

Finally, it's important to understand that when rounding decimals, we can drop any zeroes to the right of the decimal point as long as they're also to the right of the rounding place.

This means that 23.5481 rounded to the nearest thousandth is 23.548.

Answer:

infinately many solutions

Step-by-step explanation:

Answer:

[tex](n+2)^2+6[/tex]

Step-by-step explanation:

Pattern 1 consists of

[tex]3+3\times 3+3[/tex] small squares (here n = 1 and [tex]3\times 3=(1+2)\times (1+2)[/tex]).

Pattern 2 consists of

[tex]3+4\times 4+3[/tex] small squares (here n = 2 and [tex]4\times 4=(2+2)\times (2+2)[/tex]).

Pattern 3 consists of

[tex]3+5\times 5+3[/tex] small squares (here n = 3 and [tex]5\times 5=(3+2)\times (3+2)[/tex]).

Thus, pattern n consists of

[tex]3+(n+2)\times (n+2)+3=6+(n+2)^2[/tex] small squares.

Answer:

Ans is 30.................

Answer:

$5.75

Step-by-step explanation:

3.45 divided by 3 is 1.15. 1.15 times 5 is 5.75.

The cost of 5 pounds of oranges at a unit rate of 1.15 dollars is 5.75 dollars.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Mrs. Alveres purchased 3 pounds of oranges for $3.45.

∴ The cost of 1 pound of orange is (3.45/3) dollars.

= 1.15 dollars.

If the cost of 1 pound of orange is 1.15 dollars,

∴ The cost of 5 pounds of oranges is,

= (5×1.15) dollars.

= 5.75 dollars.

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Answer:

D(4,3)

Step-by-step explanation:

Plot pointa A, B, C on the coordinate plane.

Thus,

Therefore, the coordinates of point D are (4,3)

Answer:

135°

Step-by-step explanation:

An angle of 45° has a supplementary angle of 180° - 45° = 135°

Answer: 135

Step-by-step explanation:

Two angles are said to be supplementary if they sum up to be 180.

Let the supplementary angle to 45 be x ,

then :

x + 45 = 180

x = 180 -45

x = 135

64 is 8 times as many as w

There are 7 times as many balls V as bats

The phrase "times as many" signals multiplication.

Final answer:

The answer provides examples of sentences that describe a comparison using multiplication from the options given.

Explanation:

Select the sentence that describes a comparison using multiplication:

64 is 8 times as many as w.

There are 7 times as many balls V as bats.

An ant can carry 50 times its own weight.

The perimeter of the triangle is: 13x+6

Step-by-step explanation:

The perimeter is the length of the outer boundary of any closed geometrical shape.

So,

Given

[tex]Side\ 1 = s_1 = 5x+3\\Side\ 2 = s_2 = 5x+5\\Side\ 3 = s_3 = 3x-2[/tex]

The perimeter will be:

[tex]P = s_1+s_2+s_3\\= (5x+3)+(5x+5)+(3x-2)\\=5x+5x+3x+3+5-2\\=13x+6[/tex]

The perimeter of the triangle is: 13x+6

Keywords: Perimeter, geometry

Learn more about perimeter at:

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Answer:

x = - 9, x = 0, x = 7

Step-by-step explanation:

Given

[tex]\frac{1}{2}[/tex] x(x - 7)(x + 9) = 0 ← in standard form

Equate each factor to zero and solve for x

[tex]\frac{1}{2}[/tex] x = 0 ⇒ x = 0

x - 7 = 0 ⇒ x = 7

x + 9 = 0 ⇒ x = - 9

Answer:

-9, 0, 7

Step-by-step explanation:

Finding the roots of a polynomial equation is the same as solving the equation. So, simply figure out which values make the equation equal 0.

If multiplication is involved, then 0 is always an answer (or root). Because anything multiplied by 0 is always 0.

7 is also a root:

7 - 7 = 0

Same with -9:

-9 + 9 = 0

Answer:

D

Step-by-step explanation:

You can see, MN consists of the three lines in the picture. So you just need to sum them tougher in an equation with it's original value 81.

5 + 3x - 8 + 4x = 81

7x = 81 + 3

7x = 84 / : 7

x = 12

The value x from the given line segment is 12 units. Therefore, option D is the correct answer.

A line segment is a path between two points that can be measured. Since line segments have a defined length, they can form the sides of any polygon.

Given that, MN=81.

Here, MN=5+3x-8+4x

MN=7x-3

7x-3=81

7x=81+3

7x=84

x=84/7

x=12

Therefore, option D is the correct answer.

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Let's note the information.

This is what we know:

Every buttons came in packages of 30 per student.

Every bookmark came in packages of 50 per person.

Know, we need to do some multiplying.

30 x 400 & 50 x 400

Now solve.

30 X 400 = 12000.

So we now know that they have an estimated 12000 buttons total.

Now, we find x for bookmarks.

50 x 400 = 20000

That means total that estimated that 20000 bookmarks will be given.

Answer:

15 packages of buttons

9 packages of bookmarks

Step-by-step explanation:

We need to find the least common multiple (LCM) of 30 and 50.

30 = 2×3×5

50 = 2×5²

LCM = 2×3×5²

LCM = 150

Now we need to find a multiple of LCM that is greater than 400.

3LCM = 450

The committee needs at least 450 of each, which means they need at least 15 packages of buttons and 9 packages of bookmarks.

Answer:

You forgot to attach the image

Answer:

Step-by-step explanation:

 { first do the operation which is inside parenthesis, then division, multiplication, subtraction and addition}

3* (9-5) - 3*2 = 3* 4 - 3*2  

                     = 12 - 6  =  6

(16-8) / (4-2)  = 8 / 2 = 4        

3* (9-5) - 3*2   > (16-8) / (4-2)

College can be expensive, but it is worth the expense. Students should consider financial aid when applying for colleges. Here are common ways to fund a college education: earn scholarships, obtain loans, and find a job. Therefore, the correct answer choice is: C. are.

In English language, a sentence is a group of words or phrases that comprises a subject and predicate, which are typically used by an author or speaker in order to convey a logical information about a subject matter to an audience (readers or listeners).

A verb is one of the parts of speech in English language and it refers to any word that describes an action, occurrence, or a state of existence.

In this context, we can reasonably infer and logically deduce that the most appropriate word to complete the sentence is "are" because it is a linking verb and it connects the subject with objects in plural form.

Answer:

Step-by-step explanation:

 This is a simple proportion problems.

7 kilogram weight attache to a spring stretches  = 6 meters

 1 kilogram would stretch                                       =  6/7 m

Therefore 42 kilograms would  stretch                  = (6/7 x 42)meters

                                                                                 =  36 meters.

Answer:

t=2.08 seconds.

Step-by-step explanation:

Well, in this example, H(t)=-0.6cos(2pi/2.5)t+1.5 should be equal to 1.2. If calculated, -0.6cos(0.8pi)t=1.2-1.5 which is equal to -0.6cos(0.8pi)t=-0.3, then cos(0.8pi)t=0.5. The value of cosine in terms of radians when it is equal to 0.5 is pi/3. So, cos(0.8pi)t=cos(pi/3). If simplified, (0.8pi)*t=5pi/3. pi's are cancelled out and t is calculated as 2.08333... If rounded to the nearest hundredth it is 2.08.

Answer:

[tex]1mg = 0.001g \\ 12 \times 325 = 3900 \\ \frac{3900}{1000} = 3.9g[/tex]

hope it helps pls mark braiest

Step-by-step explanation: To compare decimals such as 18.4 and 18.04, first line up the decimal points of the numbers.

Next, we compare the digits place by place starting on the left.

1 and 1 are the same, 8 and 8 are the same, but notice that 4 is greater than 0.

This means that 18.4 is greater than 18.04.

So to answer your question, 18.04 is less than 18.4

Answer:

[tex]\displaystyle 36\:units[/tex]

Step-by-step explanation:

Split up this Isosceles, Right Triangle into two congruent smaller right triangles. The reflexive side [the line that splits them apart] is 6 units, and both legs are 8 units, leaving the hypotenuses to AUTOMATICALLY be 10 units, according to the Pythagorean Theorem:

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 6^2 + 8^2 = 10^2 \\ \\ 36 + 64 = 100 \\ \\ 100 = 100[/tex]

With this Pythagorean Triple, we know that our dimensions are correct. Now, to find the perimeter, just add up all the sides EXCEPT for the divider:

[tex]\displaystyle 2[10] + 2[8] = 20 + 16 = 36[/tex]

I am joyous to assist you anytime.

Answer:

(8m^7n^6)/3.

Step-by-step explanation:

(2mn)^4/6m^-3n^-2

= 16m^4n^4 / 6m^-3n^-2

= (8m^7n^6)/3

Good morning,☕️

Answer:

Step-by-step explanation:

_________________________

3 notifications books to 2 novels

then

18 notifications books to 12 novels

then

12 novels to 4 cookbooks

finally, we get 18 notifications books to 4 cookbooks

________________________

2 cookbooks to 6 novels

then

6 novels to 9 notifications books

finally ,we get 2 cookbooks to 9 notifications books

_________________________

2 novels to 3 notifications books

Finally ,we get  8 novels to 12 notifications books.

:)

Answer:

18 notifications books to 4 cookbooks

2 cookbooks to 9 notifications books

8 novels to 12 notifications books.

Step-by-step explanation:

Answer:

y=2x-13

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-7-(-1))/(3-6)

m=(-7+1)/-3

m=-6/-3

m=2

y-y1=m(x-x1)

y-(-1)=2(x-6)

y+1=2x-12

y=2x-12-1

y=2x-13

Answer:

[tex]\large \boxed{\text{A. }\dfrac{13}{7}\text{; B. }\dfrac{17}{14} \text{; C. 507 in}^{2}}[/tex]

Step-by-step explanation:

A. Scale factor

When you dilate an object by a scale factor, you multiply its line lengths by the same number.

If EF/AB = 13/7, the scale factor is 13/7.

B. Length of EF

[tex]\begin{array}{rcl}\dfrac{EF}{AB} & = & \dfrac{13}{7}\\\\\dfrac{EF}{\frac{17}{26}} & = & \dfrac{13}{7}\\\\EF & = & \dfrac{13}{7}\times\dfrac{17}{26}\\\\ & = &\dfrac{1}{7}\times\dfrac{17}{2}\\\\ & = & \mathbf{\dfrac{17}{14}}\\\end{array}\\\text{The length of EF is $\large \boxed{\mathbf{ \dfrac{17}{14}}}$}[/tex]

C. Area of EFGH

If the lengths in a shape are all multiplied by a scale factor, then the areas will be multiplied by the scale factor squared.

ABCD is dilated by a scale factor of 13/7, so its area is dilated by a scale factor of

[tex]\left(\dfrac{13}{7} \right)^{2} = \dfrac{169}{49}[/tex]

The area of its dilated image EFGH is

[tex]\text{Area of EFGH} = \text{147 in}^{2} \times \dfrac{\text{169}}{\text{49}} = 3 \times 169\text{ in}^{2} = 507 \text{ in}^{2}\\\\\text{The area of EFGH is $\large \boxed{\textbf{507 in}^{\mathbf{2}}}$}[/tex]

Answer:

s = P - t - r

Step-by-step explanation:

You are solving for the variable, s. To do so, isolate the variable. Note the equal sign, what you do to one side, you do to the other.

First, subtract the variable t from both sides of the equation:

P (- t) = s + t (-t) + r

P - t = s + r

Next, isolate the variable s by subtracting r from both sides:

P - t (-r) = s + r (-r)

P - t - r = s

s = P - t - r

s = P - t - r is your answer.

~

Answer:

92.056543

Step-by-step explanation:

Answer:

Step-by-step explanation:

A) 1/3 of 5

1/3 of 5 = (1/3)*5 = 1*5/3 = 5/3

Whitney's speed was 35 miles per hour.

Let's let x represent Whitney's speed in miles per hour (mi/h). Then, Whitney's mother's speed would be x + 5 mi/h. Since time is equal to distance divided by speed, and both Whitney and her mother arrived at the same time, we can set their times equal to each other:

Whitney's time = Distance / Speed = 7 miles / x mi/h

Mother's time = Distance / Speed = 8 miles / (x + 5) mi/h

7/x = 8/(x + 5)

7(x + 5) = 8x

7x + 35 = 8x

x = 35 mi/h

Therefore, Whitney's speed was 35 miles per hour.