If f(x) = 3 x2 + 2 and g(x) = x2 - 9, find (f - g)(x).

Answer:

50 km

Step-by-step explanation:

Given

[tex]r = 4cm : 20km[/tex] -- Scale ratio

Required

Actual representation of 10cm

Let the actual measurement be x.

So, we have:

[tex]r =10cm:x[/tex]

Equate both value s of r

[tex]10cm : x = 4cm : 20km[/tex]

Express as fraction

[tex]\frac{x}{10cm } =\frac{20km}{4cm}[/tex]

Multiply by 10cm

[tex]10cm * \frac{x}{10cm } =\frac{20km}{4cm} *10cm[/tex]

[tex]x =\frac{20km}{4} *10[/tex]

[tex]x =5km *10[/tex]

[tex]x =50\ km[/tex]

Answer:

84 rows

84 plants on each row

Step-by-step explanation:

Given

[tex]Plants = 7056[/tex]

Required

The number of rows

Since the number of rows (r) and the plants on each row (p) are the same, then the area to be planted on is:

[tex]Plants = r * p[/tex]

Where

[tex]r =p[/tex]

So, we have:

[tex]Plants = r * r[/tex]

[tex]Plants = r^2[/tex]

This gives:

[tex]7056 = r^2[/tex]

Take square roots

[tex]84 = r[/tex]

Rewrite

[tex]r = 84[/tex]

Answer:

$75

Step-by-step explanation:

$35 for 7 tickets (5 * 7), so 15 movie tickets (15 * 7) = 75! Simple math!

Answer:

155 degree

Step-by-step explanation:

x + 25 = 180 degree (sum of adjacent angles of a parallelogram are equal)

x = 180 - 25

x = 155 degree

Answer:

Step-by-step explanation:

Convert to a mixed number by placing the numbers to the right of the decimal over 1000. Reduce the fraction.

Answer:

20%

Step-by-step explanation:

Given that

The car is depreciated at a rate of 7% per year

We need to find out the percentage when the car is depreciated after 6 years

So,

Since the car is depreciated by 7% so we can say it can be 0.93 times in a year

Now after 6 years, it would make

= 0.93^3

= 0.80

So, the percentage is

= 1 - 0.80

= 0.20

= 20%

12.50 on each ticket

Step-by-step explanation:

12.50 x 4 = 50.00

Answer:

acute and isosceles

Step-by-step explanation:

Define:

Acute - All angles have a measure of less than 90 degrees

Obtuse - has an angle with a measure of more than 90 degrees

Right - has an angle with a measure of 90 degrees

Scalene - no congruent side lengths or angles

Isosceles - two congruent sides and two congruent angles

Equilateral - all congruent sides and all congruent angles

Identify:

The triangle shown has angles that measure less than 90 degrees which means that it's an acute triangle

The triangle also has two congruent sides and two congruent angles which means that it's an isosceles triangle.

So we can conclude that the triangle can be identified as an acute isosceles

[tex]\sf \bf {\boxed {\mathbb {Given:}}}[/tex]

Total number of words in the dictionary = 88,728 words

No. of words that Mohan read = 35,427 words

[tex]\sf \bf {\boxed {\mathbb {To\:find:}}}[/tex]

No. of words left for Mohan to read.

[tex]\sf \bf {\boxed {\mathbb {Solution:}}}[/tex]

[tex]\sf\purple{53,301 \:words. }[/tex]

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

No. of words left for Mohan to read = Total no. of words in the dictionary - No. of words that Mohan read

= ( 88, 728 - 35, 427 ) words

= 53,301 words

[tex]\large\mathfrak{{\pmb{\underline{\red{Mystique35 }}{\red{❦}}}}}[/tex]

Answer:

x = 41.05

Step-by-step explanation:

Given that,

In a right angles triangle,

Perpendicular height, P = 228

Angle 1 = 90°

Angle 2 = 47°

Angle 3 = 180-(90+47) = 43°

Using trigonometry to find x.

[tex]\sin\theta=\dfrac{P}{x}\\\\x=\dfrac{P}{\sin\theta}\\\\x=\dfrac{28}{\sin(43)}\\\\x=41.05[/tex]

So, the value of x is equal to 41.05.

r should be 4/7. You're comparing the given series to a geometric series that converges. By the limit comparison test, you have

[tex]\displaystyle\lim_{n\to\infty}\frac{\frac{4^n+7}{7^n}}{\frac{4^n}{7^n}}=\lim_{n\to\infty}\frac{4^n+7}{4^n}=\lim_{n\to\infty}\left(1+\frac7{4^n}\right)=1[/tex]

and since this limit is positive and finite, and the series you're comparing to is convergent, then the first series must also be convergent.

Answer:

OPTION D IS THE ONLY LEGIT OPTION.

Metals have a shiny Lustre but Non metals do Not!

Answer:

D

Step-by-step explanation:

A: false. Some of the non-metals are gasses. They can hardly be classified as shinny.

Some of the metals, though solid, are not exactly shinny either.

B: Most metals conduct heat and electricity to some degree. Non metals don't.

C: The exact opposite is true.

D: I think this is the expected answer.

Using the slope concept, it is found that the distances from the shore at each moment are given by:

a) 2664 feet.

b) 976 feet.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

Item a:

The vertical distance is of 280 feet, with an angle of 6º. The distance from the shore is the horizontal distance of x. Hence:

[tex]\tan{6^\circ} = \frac{280}{x}[/tex]

[tex]x = \frac{280}{\tan{6^\circ}}[/tex]

x = 2664.

Item b:

The vertical distance is of 280 feet, with an angle of 16º. The distance from the shore is the horizontal distance of x. Hence:

[tex]\tan{16^\circ} = \frac{280}{x}[/tex]

[tex]x = \frac{280}{\tan{16^\circ}}[/tex]

x = 976.

More can be learned about the slope concept at https://brainly.com/question/18090623

9514 1404 393

Answer:

  B.  16:49

Step-by-step explanation:

The area ratio is the square of the edge length ratio:

  area ratio = (4:7)² = 4²:7² = 16:49

_____

It might help you to recall that area is the product of two linear dimensions if each is multiplied by 4/7, the resulting product will be multiplied by (4/7)².

  A = LW

  A' = (4/7L)(4/7W) = (4/7)²(LW) = (16/49)·A

Answer:

5000

Step-by-step explanation:

but this depends upon how much room each person needs

Answer:

The answers are

angle KHM and

angle MHK

Answer:

its a geometric progression. r=1/5 or 0.2

Answer and Step-by-step explanation:

To figure out, we plug in the x-value into the equation and see if it is equal to the y-value.

y = 3(2) - 5

y = 6 - 5

y = 1

5 ≠ 1

The point (2, 5) is not a solution.

#teamtrees #PAW (Plant And Water)

answer: each slide would be one sixth of the entire area; the entire area is (pi)(72).  

Do not use pi = 22/7 because that's untrue. It's approximately 3.1416; round off later!

hope this helps

Answer:

2/5 is the answer bc there are 5 total marbles and you have more purple marbles then pink ones so the answer is 2/5 or 40%

Step-by-step explanation:

Finding the (maximum) respective prime powers would yield the answer. Also we need not ... Is perfectly divisible by 720^n? ... So we can say that for any positive value of n it not divisible.

Answer:

50

Step-by-step explanation:

Think of line AE as a transversal. with DE and AB cutting across it. If we draw it out, looking at the picture, we can see that angles A and E correspond, meaning that angle A = angle E = 50

Answer:

I got :

Step-by-step explanation:

see attached photo

Step-by-step explanation:

The angle of an equilateral triangle is 180°, and its three internal angles are equal, all being 60°.

Answer:

Karim had 130 chocolates left.

Step-by-step explanation:

The quick way to do this is to notice that if he gave away 35% of his chocolates, he must have 65% left. That comes about by doing

100% (which is what he started with) - 35% = 65%

65% of 200            Change 65% into a fraction

65/100 * 200          Multiply 200 * 65

13000 / 100            Divide by 100

130

Answer:

130 left

Step-by-step explanation:

35% of 200 chocolates is equal to 70 chocolates.

200-70=130 chocolates