If f(x) and g(x) are quadratic functions but (f + g)(x) produces the graph below, which statement must be true? On a coordinate plane, a straight line with negative slope represents (f + g) (x). It goes through points (negative 3, 4), (0, 1), and (1, 0).

Answer:

[tex]=\frac{4y}{y+3}[/tex]

Step-by-step explanation:

[tex]\frac{2y}{y-3}\cdot \frac{4y-12}{2y+6}\\\frac{4y-12}{2y+6}=\frac{2\left(y-3\right)}{y+3}\\\frac{4y-12}{2y+6}\\\mathrm{Factor}\:4y-12:\quad 4\left(y-3\right)\\4y-12\\\mathrm{Rewrite\:as}\\=4y-4\cdot \:3\\\mathrm{Factor\:out\:common\:term\:}4\\=4\left(y-3\right)\\=\frac{4\left(y-3\right)}{2y+6}\\\mathrm{Factor}\:2y+6:\quad 2\left(y+3\right)\\2y+6\\\mathrm{Rewrite\:as}\\=2y+2\cdot \:3\\\mathrm{Factor\:out\:common\:term\:}2\\=2\left(y+3\right)\\=\frac{4\left(y-3\right)}{2\left(y+3\right)}[/tex]

[tex]\mathrm{Divide\:the\:numbers:}\:\frac{4}{2}=2\\=\frac{2\left(y-3\right)}{\left(y+3\right)}\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{2\left(y-3\right)}{y+3}\\=\frac{2y}{y-3}\cdot \frac{2\left(y-3\right)}{y+3}\\\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}\\=\frac{2y\cdot \:2\left(y-3\right)}{\left(y-3\right)\left(y+3\right)}\\\mathrm{Cancel\:the\:common\:factor:}\:y-3\\=\frac{2y\cdot \:2}{y+3}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:2=4\\=\frac{4y}{y+3}[/tex]

Answer:

12/6

Step-by-step explanation:

This is the formula you are looking for Logb x = Loga x/Loga b

Answer:

-6

Step-by-step explanation:

10t = -30 + 5t, Inverse operations

'5t -5t. Subtract 5t from both sides

5t = -30. Divide by 5 both sides

/5. /5

t = -6

Answer:

0.06

Step-by-step explanation:

3/47

Answer

$15.67

trust me I think this is it with the info I have got.

info=information true fact

Answer:

ferris wheel travel approx = 434.72 ft

Step-by-step explanation:

given data

wheel rotates = 9pi/8 radians

total height of the ferris wheel =  246 ft

solution

we can say here that height of the ferris wheel is same as the diameter of the wheel

and wheel is circular in shape

so we get here first radius of wheel that is

radius = half of diameter    ..........................1

put here value and we get

radius = 0.5 × 246

radius = 123 ft

and

wheel travel distance = length of arc by a angle of wheel rotates

so here length of arc will be

arc length = radius × wheel rotates angle   .....................2

put here value and we get

arc length  = 123 × [tex]\frac{9\pi }{8}[/tex]

arc length = 434.7178 ft

so ferris wheel travel approx = 434.72 ft

Answer:

If Jeffrey takes 50 classes in his first month as an instructor, he will earn back the amount he spent on certification.

Step-by-step explanation:

Answer:

There are 15 girls

Step-by-step explanation:

Look at the picture

Part (i)

Compute the slope of the line through the two points (0,0) and (4,8)

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

m = (8-0)/(4-0)

m = 8/4

m = 2

The slope of this line is 2, so,

==============================================

Part (ii)

The two points we're working with are (4,8) and (6,8). The slope is...

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

m = (8-8)/(6-4)

m = 0/2

m = 0

Horizontal lines always have a slope of 0 to indicate no change in height.

==============================================

Part (iii)

Same idea as the previous parts. The endpoints are (6,8) and (9,14)

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

m = (14-8)/(9-6)

m = 6/3

m = 2

This piece also has slope 2. This piece is parallel to the first piece. Parallel lines have equal slopes but different y intercepts.

==============================================

Part (iv)

As you can see, with average velocity, all we care about are the starting and ending points. We aren't concerned at all with what happens in between.

Comparing the results for part (i) and part (iv)(b), we see that the velocity has gone down. This is due to the flat portion in which you aren't moving.

Answer:

There are infinitely many solutions

Step-by-step explanation:

Firstly, I need to change f to x as the system won’t accept the word f

Let’s take a look at the question;

3 is less than x

The domain of our answer lies in the the range of values where we have numbers that are greater than 3

This means we can rewrite our inequality as x is greater than 3

Now, simply because we have an infinite amount of numbers which are greater than 3 of which x can take any of the values, we can conclude that the number of values we have for x are infinite and does not end

This makes us have infinitely many solutions for the value of x

Answer:

l >= 9 and w >= 6

Step-by-step explanation:

The perimeter of the rectangle can be found by:

→ Perimeter = (2 x length) + (2 x width) (1)

Since the length is 3 inches greater than the width:

→ l = w + 3

Also, the perimeter is at least 30 inches

If you substitute the values in the equation 1:

→ (2 x l) + (2 x w) >= 30

→ (2 x (w + 3)) + (2 x w) >= 30

→ 2 x w + 6 + (2 x w) >= 30

→ 4 x w >= 24

→ w >= 6

Since l = w + 3, l >= 9

Answer:

40% chance or probability

Step-by-step explanation:

30 people total 12 have had a cat, convert into fraction, 6/15, convert into a percent and you get 40%

Answer:

Replace "is" with =, "less than" with –, and "a number" with n to get 16 = n – 5

Step-by-step explanation:

Hi, to answer this question we have to analyze the statement given and write an equation:

Sixteen is five less than a number

So, the number sixteen (16) is (=) five less (-5) than a number (n).

We have to subtract 5 to a number (x) and that expression must be equal to 16.

Mathematically speaking:

16= n-5

So, the correct option is:

Replace "is" with =, "less than" with –, and "a number" with n to get 16 = n – 5

Feel free to ask for more if needed or if you did not understand something.  

Answer:

C :)

Step-by-step explanation:

before you go, don't forget to smile:)

Answer:

54

Step-by-step explanation:

54x

Answer:

Antonyms. achromatic exhale spiny-finned fish extinguish hypopigmentation. Etymology.

Step-by-step explanation:

none but google

Answer:

If you mean char = a charred substance then you could have cool, extinguish, put out, smother, stifle or subdue.

Step-by-step explanation:

Google... everything's google

Answer:

Answer: The number of balloons varies directly with the number of tables. The two variables are directly proportional. The relationship of balloons to tables is the ratio 5:1, where 5 is the constant of variation. Use the equation y = kx, where k is the constant of variation resulting in the equation y = 5x.!!!!!!!!!

licze jako najlepsza odpoiedz!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

Sample Answer: The number of balloons varies directly with the number of tables. The two variables are directly proportional. The relationship of balloons to tables is the ratio 5:1, where 5 is the constant of variation. Use the equation y = kx, where k is the constant of variation resulting in the equation y = 5x.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

D  5sqrt(3)

Step-by-step explanation:

We can use the Pythagorean theorem to solve since the altitude is perpendicular to the base

a^2+b^2 = c^2

5^2 + a^2 = 10^2

25+a^2 = 100

a^2 =100-25

a^2 = 75

Taking the square root of each side

a = sqrt(75)

a = sqrt(25)sqrt(3)

a = 5sqrt(3)

Answer:

Step-by-step explanation:

D

Answer:

see below

Step-by-step explanation:

Answer:

...

Step-by-step explanation:

Answer:

Yes, she can.

Step-by-step explanation:

12 < 5+8

Answer:

Step-by-step explanation:

No, she can't

Julie can't win because she has to read more than Emad so she has to read 13 books but she reads 8 books so she can't win

I hope it'll help you much

Thank you for asking

Answer:

5 (x-y)=15

2x-2y=6 and

y-x=-3

Step-by-step explanation:

first x-y=3, so you substitute x by y or y by X. anyway I substituted x by y. so x=y+3.

a. 5(x-y)

5[(y+3)-y] (first you substitute x by y+3.)

5 [y+3-y] ( then you remove the bracket.)

5[y-y+3] ( you collect like terms in the bracket.)

5 [3] (-y+y=0) so it means 5×3=15.

b. 2x-2y (like before you substitute x by y+3.)

2 (y+3)-2y

2y+6-2y (then you remove the bracket.)

2y-2y+6 (you collect like terms)

0+6=6. (because 2y-2y=0)

c. y-x

y-(y+3) ( you substitute x by y+3.)

y-y-3 (you remove the bracket)

0-3=-3 (because y-y=0)

Answer:

Step-by-step explanation:

Notice that there are 16 pieces from the circle, which means each sector has an angle of

[tex]\theta = \frac{360\°}{16}=22.5\°[/tex]

Where all sectors have equal area.

Now, the area of the whole circle is [tex]12.25 \pi \ cm^{2}[/tex], if we use the formula of its area, we'll find the radius of the circle

[tex]A= \pi r^{2}\\ 12.25\pi = \pi r^{2}\\ r=\sqrt{12.25} \approx 3.5[/tex]

Notice that each piece works as an isosceles triangle, because each side is the radius, that is, they have the same length. So far, we know the sides of the isosceles triangle and one internal angle.

To find the height of the one piece, we need to use trigonometric reasons, because the height divides a triangle in two equal right triangles.

[tex]cos(11.25\°)=\frac{h}{3.5}\\ h=3.5 \times cos(11.25 \°)\\h \approx 3.43[/tex]

Therefore, the height is 3.43 centimeters, approximately.

Answer:

28/50, or 56 percent.

Step-by-step explanation:

Divide the number of events (in this case it's tails) by the number of possible outcomes. This means to divide 28 by 50. Your answer will be 0.56. As a percent, this is 56 percent, which is the probability of the coin landing on tails.

Answer:

he do be running tho

Answer:

He burned a total of 735 calories.

Step-by-step explanation:

4 miles + 3 miles = 7 miles

105 calories/1 mile = 7 miles/ ? calories

105 calories times 7= 735 calories

Answer:

Now we need to find B' and C' by multiplying 0.125 with the x-coordinate and y-coordinate.

-----

x-coordinate of B is -2, y-coordinate of B is 8

x-coordinate of B'

y-coordinate of B'

So

-----

x-coordinate of C is 6 and y-coordinate of C is 4

x-coordinate of C'

y-coordinate of C'

So

Conclusion:

The below are the TRUE statements:

(i) The coordinates of C' are (0.75, 0.5)

(ii) The scale factor is 1/8

(iii) The coordinates of B' are (–0.25, 1).

Read more on Brainly.com - https://brainly.com/question/10679054#readmore

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

i got it correct

Answer:

$25.80

Step-by-step explanation:

40% = 40/ 100 = 4/10 = 0,4

There is a 40% discount, which means that the amount multiplied by more then 1 (for example 1,4) would increase the amount... That isn't right because it is a discount!

So you need to subtract the 40%, so (1 - 0.4 =) 0.6

The amount multiplied by 0.6 will be the correct amount, being $43 * 0.6 = $25.80 (rounded to the nearest cent).

The amount the item actually cost after the discount is $25.80

Work Shown:

B = p*(1+r)^t

B = 4530*(1+0.11)^5

B = 7,633.313442603 approximately

B = 7633.31                  round to the nearest cent

Answer:

75>5t

Step-by-step explanation:

Here is the information given:

75 is the maximum

5 per table

t is table

So, 75 is greater than or equal to the number of tables.

If 5 is the max seated at a table we know that it will be 5 people per table or 5t

Which gives us 75>5t

Furthermore, when solving we get t=15, when plugging this in the inequality becomes 75>75 which is true.

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Which statements are true? Check all that apply.

The total possible outcomes can be found using 52C5.

The total possible outcomes can be found using 52P5.

The probability of choosing two diamonds and three hearts is 0.089.

The probability of choosing five spades is roughly 0.05

The probability of choosing five clubs is roughly 0.0005.

Since it can be chosen in any order, we use combination and not permutation. The number of ways of choosing 5 cards from a group of 52 cards is 52C5.

The probability of choosing two diamonds and three hearts = [tex]\frac{^{13}C_2*^{13}C_3}{^{52}C_5} = 0.0086[/tex]  so the third one is not true.

The probability of choosing five spades = [tex]\frac{^{13}C_5}{^{52}C_5}[/tex] ≈ 0.0005. The fourth statement is not true

The probability of choosing five clubs  = [tex]\frac{^{13}C_5}{^{52}C_5}[/tex] ≈ 0.0005, the fifth one is.

So the answer is the first and fifth statement.

The probability of selecting a combination of cards is given by the ratio of

the ways of selecting the cards to the number of possible outcomes.

The true statements are;

Reasons:

First statement;

Number of cards in the deck of playing cards = 52

The number of possible outcome is given by the combinations of 5 that can be chosen from 52, as follows;

[tex]\displaystyle The \ \mathbf{number} \ of \ \mathbf{possible \ outcomes}} = _{52}C_5 = \frac{52!}{5! \cdot (52 - 5)!} = 2598960[/tex]

Therefore;

Third statement;

The number of ways of choosing two diamonds is found as follows;

[tex]\displaystyle Choosing \ two \ diamonds = _{13}C_2 = \mathbf{\frac{13!}{2! \cdot (13 - 2)!}} = 78[/tex]

The number of ways of choosing three hearts is found as follows;

[tex]\displaystyle Choosing \ three \ hearts = _{13}C_3 = \frac{13!}{3! \cdot (13 - 3)!} = 286[/tex]

The number of ways of choosing two diamonds and three hearts is found as follows;

[tex]\displaystyle Choosing \ two \ diamonds \ and \ three \ hearts = \frac{_{13}C_2 \times _{13}C_3}{_{52}C_5} = 0.00858[/tex]

Therefore, the number of ways of choosing two diamonds and three hearts ≠ 0.089

[tex]\displaystyle Choosing \ two \ diamonds \ and \ three \ hearts = \mathbf{\frac{_{13}C_2 \times _{13}C_3}{_{52}C_5}} \neq 0.089[/tex]

Fourth  statement;

[tex]\displaystyle Probability \ of \ choosing \ five \ spades = \frac{_{13}C_5 }{_{52}C_5} \approx 0.0005[/tex]

Therefore;

[tex]\displaystyle Probability \ of \ choosing \ five \ spades = \mathbf{\frac{_{13}C_5 }{_{52}C_5}} \neq 0.05[/tex]

Fifth statement;

[tex]\displaystyle Probability \ of \ choosing \ five \ clubs= \frac{_{13}C_5 }{_{52}C_5} \approx 0.0005[/tex]

Therefore;

The possible question options in the question are;

The total possible outcomes is given by ₅₂C₅

The total possible outcomes is given by ₅₂P₅

Probability of choosing 3 hearts and 2 diamonds is 0.089

The likelihood of choosing 5 spades is approximately 0.05

The likelihood of choosing 5 clubs is approximately 0.0005

Learn more about combinations and probability here:

https://brainly.com/question/25718474

Answer:112.5

Step-by-step explanation: multiply then all together length then width them height

Answer:

112.5

Step-by-step explanation:

i did the assignment