Help. I’m new to learning functions like this

Answer:

B.

Step-by-step explanation:

because the vertex of parabola is f(x)

Answer:

48

Step-by-step explanation:

Total points = 60

% = 80%

Therefore no. of points right = 80/100×60 = 48

Answer:

216

Step-by-step explanation:

12 × 18 = 216 :)) !!!!

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.

Answer:

1,000 grams, we have 1 kilogram

Step-by-step explanation:

Step-by-step explanation:

1000 grams in 1 kilograms

Answer: 54 yds

Step-by-step explanation: add all of the sides to get the perimeter

14+9+14+10+7=54

Answer:

7x3 + 5x2 + 5

x2

= 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sum =6

Product =5

Factors = 5 , 1

x² + 6x + 5 = x² + x + 5x + 5*1

                  = x(x + 1) + 5(x+1)

                 = (x+1) (x +5)

[tex]\frac{x+5}{x^{2}+6x+5}=\frac{x+5}{(x + 1)(x+5)}\\\\=\frac{1}{x+1}[/tex]

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:

round down to 2.9 if to 1dp

Step-by-step explanation:

Answer:

700 pounds

Step-by-step explanation:

if 46 euros cost 40 pounds

then 805 euros will cost 805 multiplied 40

whatever answer you get divide it by 46

Answer:

4/7

Step-by-step explanation:

4/7 is squared and then square rooted, changing nothing.

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:

they would need 15 cases for 410 bag of chips

Step-by-step explanation:

410/7= about 15

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:

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:

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:

I guess you have to put the amounts in the boxes based on your data :) hope that helped a little

I think it should go like

3|6

1|2

[tex]m < a =78 \\ m < b =12\\ solution \\ 15x + 3 + 5x - 13 = 90(sum \: of \: complementary \: angles) \\ or \: 15x + 5x + 3 - 13 = 90 \\ or \: 20x - 10 = 90 \\ or \: 20x = 90 + 10 \\ or \: 20x = 100 \\ or \: x = \frac{100}{20} \\ x = 5 \\ m < a = 15x + 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 15 \times 5+ 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 78\\ m < b = 5x - 13 \\ \: \: \: \: \: \: \: \: \: \: = 5 \times 50- 13 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 20 - 13 \\ \: \: \: \: \: \: \: \: \: \: \: \: = 12\\ hope \: it \: helps[/tex]

Answer:

m∠ A=78°

m∠ B=12°

Step-by-step explanation:

∠A+∠B=90°

15x+3+5x-13=90

20x-10=90

20x=100

x=5

∠A=(15×5+3)°=(75+3)°=78°

∠B=(5×5-13)°=(25-13)°=12°

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

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:

Since the y-intercept is 400 and the y value fourths for every increase of 2 in x, the equation is y = 400 * (0.5)^x.

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:

x^2-4x+4

Step-by-step explanation:

x^2-2x-2x+4

=x^2-4x+4

Step-by-step explanation:

D. In a column two-way relative frequency table, each column totals 100%.

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:

1/2(n+5)

Step-by-step explanation:

Answer:

Rational expression

Step-by-step explanation:

A rational expression is a quotient of two polynomials, where the polynomial in the denominator is not zero. Rational expressions can often be simplified by removing terms that can be factored out of the numerator and denominator. These can be either numbers or functions of x

A rational function is a function that can be expressed as the quotient of two polynomial functions in which the denominator does not equal zero.

Given that,
An incomplete statement is given we have to determine what best suit the blank space given in the statement.

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.

Here,
A function that can be expressed as the quotient of two polynomial functions in which the denominator does not equal zero is called a rational function.

Thus, the blanked statement is the definition of the rational function

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