if F(x)=2x^2-5 and g(x)=3x+3, find (f-g)(x)

A.2x^2-3x-8
B.-x^2-8
C.3x-2x^2-2
D.2x^2-3x-2

Answer:

x= 1.27, y= 11.4 (to 3s.f.)

Step-by-step explanation:

5x -y= -5 -----(1)

3x -5y= -3 -----(2)

From (1):

-y= -5x -5

divide by -1 throughout:

y= 5x +5 -----(3)

Subst. (3) into (2):

3x -5(5x +5)= -3

3x -25x +25= -3 (expand)

-22x= -3 -25

-22x= -28

divide by -22 throughout:

x= 1.2727 (5 s.f.)

x= 1.27 (3 s.f.)

subst. into (3):

y= 5(1.2727) +5

y= 11.4 (3 s.f.)

Answer:

5 feet.

Step-by-step explanation:

We have been given that about 15 feet from the center of the carousel. Allison rode a horse about 10 feet from the center of the carousel.

To find the distance covered by Carl's horse more than Allison's horse we will subtract covered by Allison's horse from the distance covered by Carl's horse.

Answer:

So to find ratio for questions like these we do x/y

So the ratio for the first one is 5/7

The ratio for the second is 12/7 or 1 5/7

Step-by-step explanation:

Answer:

CBA = DEA

Step-by-step explanation:

Theyre the only right angles listed.

Answer:

D

Step-by-step explanation:

0.333... is rational because it can be lined up to the fraction 1/3.

Answer:

D.

Step-by-step explanation:

The definition of a rational number is a number that can be expressed as the ratio of two integers.

We cannot represent pi as a ratio of two integers, so it cannot be A. Apply the same definition and B and C are out.

We know that 0.333... = 1/3. This number can be represented as the ratio of two integers, so this is the correct answer.

I hope this helps!

Answer:

122

Step-by-step explanation:

Let x ft. be the distance from neighbour's fence to the house.

Please see attached picture for full solution.

Thus, distance from neighbour's fence to the house is 122 ft. (nearest whole number)

Answer:

The volume of the figure given is:

Step-by-step explanation:

To find the volume of the figure in the picture, first, you must divide the figure in the two known figures there: a cylinder and a rectangular prism, now you can find the volume of each figure separated and at the last add the two volumes.

Volume of the cylinder.

The formula to find the volume of a cylinder is:

Where:

PI = 3,1416 approximately (In this case I´ll use the number without approximation, you can find this in the calculator).

r = radius (the distance from a side of the circle to the center of this, in this case, is 7 cm)

h = height (in this case is 7 cm too, you can find these values in the figure given)

Now we must replace the values:

Volume of the rectangular prism.

The volume of a rectangular prism is actually easy, you only must multiply the width, the length, and the height, so, the formula is:

When we replace the values given in the figure:

At the last, we add the two volumes found:

Answer:

13 and 77 degrees

Step-by-step explanation:

First, you start by subtracting 12 from the 90..

90 - 12 = 78

then, take 78 and divide it by 6.

78/6 = 13

13 is the measure of your smaller angle.

multiply 13 by 5 and then add 12 to find the measure of the larger angle.

13 x 5 = 65

65 + 12 = 77

77 is the measure of your larger angle.

Answer:

d) the slope of f(x) is greater than the slope of g(x)

Step-by-step explanation:

to find the slope of an equation, you look at its rise/run. for f(x), you can see that from one point (0, 3) to another (1, 1) it goes down 2 values (3 - 1) and over 1 value (0 + 1). because it goes down 2 values, the rise is -2, and because it moves to the side 1 value positively, the run is +1.

-2/+1 = -2. this means the slope of f(x) = -2.

finally, it says the slope of g(x) = -6, and -2 > -6. i hope this helps! :)

Answer:

-2125762

Step-by-step explanation:

Answer:

they would need 15 cases for 410 bag of chips

Step-by-step explanation:

410/7= about 15

Answer:

200 dollars

Step-by-step explanation:

If Lt. Bartlett spent 2 hours doing push ups, 1 hour doing sprints, and 1.5 hours benching 400 lbs, the percentage of time he spent sprinting is 22.2%.

Percentage is simply number or ratio expressed as a fraction of 100.

It is expressed as;

Percentage = ( Part / Whole ) × 100%

Given that;

First we determine the total time.

T = tPUSHUPS + tSPRINT + t BENCHING

T = 2hrs + 1hr + 1.5hrs

T = 4.5hrs

Now, percentage of time spent sprinting P will be;

Percentage = ( Part / Whole ) × 100%

Percentage = ( tSPRINT / Total time ) × 100%

P = ( 1hr / 4.5hr ) × 100%

P = ( 0.2222 ) × 100%

P = 22.2%

Therefore, if Lt. Bartlett spent 2 hours doing push ups, 1 hour doing sprints, and 1.5 hours benching 400 lbs, the percentage of time he spent sprinting is 22.2%.

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Answer:

one more would be 56

one less would be 54

ten more would 65

ten less would be 45

Step-by-step explanation:

add one more to 55 to get 56

subtract one from 55 to get 54

add ten more to 55 to get 65

subtract ten from 55 to get 45

Answer:

height ≈ 11.9 units

Step-by-step explanation:

Construct a perpendicular bisector from the vertex to the base, thus splitting the triangle into 2 right triangles.

Using the sine ratio in one of these right triangles, then

sin48° = [tex]\frac{opposite}{hypotenuse}[/tex] ( the opposite is the height h )

sin48° = [tex]\frac{h}{16}[/tex] ( multiply both sides by 16 )

16 × sin48° = h , thus

h ≈ 11.9 ( to the nearest tenth )

Answer:

Angle 4

Step-by-step explanation:

The angle that is Alternate Interior Angle with [tex]\angle 5[/tex], would be [tex]\angle 4[/tex], because they both lie inside of the transversal and they lie in the opposite sides.

"When the sides are congruent (same direction and size), and the two opposite sides are parallel, the angles are the same. In an isosceles triangle, two angles are congruent, because two sides are congruent."

Someone else's answer, heres the link

https://brainly.com/question/3884042

Isabella can have 8 full glasses and 0.75(3/4) glasses from the 1.75-liter carton of apple juice.

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

Isabella buys a 1.75-liter carton of apple juice.

To convert it to milliliter multiply it by 1000

1.75 liter in ml = 1.75×1000 = 1750 ml

Let's suppose the number of glasses she can have is x, so the value of x:

x = 1750/200 = 8.75 glasses.

Thus, Isabella can have 8 full glasses and 0.75(3/4) glasses from the 1.75-liter carton of apple juice.

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Answer:

216

Step-by-step explanation:

12 × 18 = 216 :)) !!!!

Answer:

9^x =9^5.

9^3

cross multiply

9^x=9^5×9^3

the nine cancel themselves .

x=5+3=8.

Answer:

x=8

Step-by-step explanation:

when dividing, you subtract the indicies (powers) and vice versa

rearrange the equation:

9^x=9^5​*9^3

5+3= 8 (add because when multiplying with indicies you need to add the indicies)

check answer:

9^8/9^3=9^5​

8-3=5 ✓

Answer:

A. Area in square inches =  1760 square inches

B. Area in square feet = 12.2 square feet

C. 1 square inch = [tex]\frac{1}{144}[/tex] feet

Step-by-step explanation:

Given,

Length of the rectangle (l) = 55 inches

Breath of the rectangle (b) = 32 inches

A. Area of the rectangle = length × breath

⇒ 55 × 32

⇒ 1760 square inches

Area in square inches =  1760 square inches

B. 1 foot = 12 inches

1 inch = [tex]\frac{1}{12}[/tex] feet

1 square inch = [tex]\frac{1}{144}[/tex] feet

∴ 1760 square inches = [tex]\frac{1760}{144}[/tex] feet

⇒ 12.2222 square feet

Area in square feet = 12.2 square feet

C. 1 square inch = [tex]\frac{1}{144}[/tex] feet

Answer:  

How many pets do my teachers have?

How many points did the high school soccer team score in its last few games?

Which of our school books has the most pages?

How many handstands can I do in 10 mins?

Step-by-step explanation:

To turn a question into a statistical question, make the question so that you can collect more than one piece of data. This is what makes a statistical question statistical.

The Statistical question are:

A statistical query will ask a question with a variable response. After collecting and analysing data, the answer might provide an interpretation of the information.

A statistical question is one that can be answered by gathering varying amounts of data.

Make the question so that you can collect more than one piece of data to convert it into a statistical query.

So, the Conversion into statistical question are

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Answer:

1/2(n+5)

Step-by-step explanation:

Answer:

2 cm = 50 km

Find what the rate would be if 2 became 10 by dividing

10/2=5

multiply the 5 with the rate

5 x 50 = 250

250 km apart

hope this helps

Step-by-step explanation:

Answer:

8.25 pounds

Step-by-step explanation:

When you multiply 12 and 11 you get 132. So then you would have to divided the total amount of ounces by 16 to get the amount of pounds