For f(x) = 2x + 1 and g(x) = x2 - 7, find (f + g)(x).​

Answer:

Angles 7 and 8 are supplementary because they are a pair of adjacent angles that form a straight line.

Supplementary angles add up to 180°

Answer:

Equivalent Ratio

A ratio shows the comparison of quantities. It describes a part-to-part or a part-to-whole comparison. It can be written in three ways: fraction form, colon form and word form. Ratios that have the same values are called equivalent ratio. You can find the equivalent ratio by multiplying or dividing both quantities by the same number.

Solution:

Let us now find the equivalent ratios of the given ratios above by multiplying or dividing.

1) ‌2⁄4‌ = ‌1⁄2, ‌4⁄8, ‌6⁄12

‌2÷2 / 4÷2 = 1⁄2

2×2 / 4×2 = 4⁄8

2×3 / 4×3 = 6⁄12

2) 5⁄10 = 1⁄2, 20⁄40, 30⁄60

5÷5 / 10÷5 = 1⁄2

5×4 / 10×4 = 20⁄40

5×6 / 10×6 = 30⁄60

3) 4⁄5 = 8⁄10, 16⁄20, 28⁄35

4×2 / 5×2 = 8⁄10

4×4 / 5×4 = 16⁄20

4×7 / 5×7 = 28⁄35

4) 3⁄9 = 1⁄3, 9⁄27, 21⁄63

‌3÷3 / 9÷3 = 1⁄3

3×3 / 9×3 = 9⁄27

3×7 / 9×7 = 21⁄63

5) 2⁄5 = 4⁄10, 8⁄20, 14⁄35

2×2 / 5×2 = 4⁄10

2×4 / 5×4 = 8⁄20

2×7 / 5×7 = 14⁄35

6) 8⁄10 = 4⁄5, 24⁄30, 56⁄70

‌8÷2 / 10÷2 = 4⁄5

8×3 / 10×3 = 24⁄30

8×7 / 10×7 = 56⁄70

7) 3⁄15 = 1⁄5, 6⁄30, 12⁄60

‌3÷3 / 15÷3 = 1⁄5

3×2 / 15×2 = 6⁄30

3×4 / 15×4 = 12⁄60

8) 2⁄8 = 1⁄4, 6⁄24, 14⁄56

‌2÷2 / 8÷2 = 1⁄4

2×3 / 8×3 = 6⁄24

2×7 / 8×7 = 14⁄56

9) 3⁄7 = 6⁄14, 12⁄28, 18⁄42

3×2 / 7×2 = 6⁄14

3×4 / 7×4 = 12⁄28

3×6 / 7×6 = 18⁄42

10) 6⁄8 = 3⁄4, 24⁄32, 36⁄48

6÷2 / 8÷2 = 3⁄4

6×4 / 8×4 = 24⁄32

6×6 / 8×6 = 36⁄48

Step-by-step explanation:

Answer:Equivalent Ratio

Answer: 75%

Step-by-step explanation:

35% of 5 liters is 1.75 liters

1.75 liters + 8 liters = 9.75 liters (only juice)

(5 liters + 8 liters = 13 liters) (the whole thing)

So, 9.75/13 is 75%

Answer:

y = 7

Step-by-step explanation:

y = -x + 5

when x = -2

y = - (-2) + 5

Double negative is positive

y = 2 + 5

y = 7

Answer:

y=7

Step-by-step explanation:

When x=-2,

y=-x+5

 =-(-2)+5

 =2+5

 =7

Answer:

7 miles per hour

Step-by-step explanation:

3 1/2 miles = 7/2 miles

1/2 hours= 30 minutes

So,

In 30 mins, travelled 7/2 miles

In 1 min, travelled 7/2 ÷ 30= 7/2× 1/30 = (7×1)/(2×30) = 7/60 miles

In 60 mins, travelled (7×60)/60 miles = 420/60 miles = 7 miles.

Hence, the speed is 7 miles per hour.

Hope this helps :)

Answer:

  (a)  A is steeper; 4/5 > 2/5

Step-by-step explanation:

The slope of A is the coefficient of x, so is 4/5. This eliminates choices B and D.

The line in the graph has a rise of 2 units for each run of 5 units, so has a slope of ...

  slope = rise/run = 2/5

This eliminates choice C.

The correct description of the relationship is the first one:

  Equation A has a steeper slope, because 4/5 is greater than 2/5.

Answer:

Step-by-step explanation:Method 2 of 2: Solving for Slope Get a line of which you want to know the slope. Make sure that the line is straight. ... Pick any two coordinates that the line goes through. Coordinates are the x and y points written as ( x, y ). Pick which point's coordinates are dominant in your equation. ... Set up the equation using the y-coordinates on top and the x-coordinates on bottom. More items.

Answer:

(1,1) and (2,2)

Step-by-step explanation:

you have to locate points that will overlap with both shaded area

Answer:

4

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

-7 +3 is -4

-4+-20 is -24

-7 + 3 - 20

= -4 - 20

= -4 + -20

= -24

______

Hope it helps ⚜

Answer:

I don't know it's very hart

Answer:

$0.29

Step-by-step explanation:

Hello!

All you gotta do is 6.69/24 and it should give you 0.29.

Answer:

Step-by-step explanation:

divide 15,180 and 46=330 dimples on each ball

Answer:

I can even see anything can you reupload your answer, please?

Step-by-step explanation:

Given, ∠POR=120

o

Hence, ∠POR=2∠PQR (half angle property)

∠PQR=

2

1

​

×120

o

=60

o

PQRS is a cyclic quadrilateral

∴∠PQR+∠PSR=180

o

∠PSR=180−60

∠PSR=120

o

Answer:

It can not be rounded to the nearest millionths bc there is not millionths place in the decimal

Step-by-step explanation:

Answer:

36.90

Step-by-step explanation:

[tex]how \: do \: i \: solve \: reflection[/tex]

[tex]reflection \: a \: geometric \: transformation \: resulting \: in \: a \: mirrior \: image. \: in \: a \: reflection \: a \: shape \: is \: flipped \: over \: a \: mirrior \: line \: or \: line \: of \: reflection \: to \: face \: the \: opposite \: direction.[/tex]

Recal the binomial theorem:

[tex]\displaystyle (a+b)^n = \sum_{k=0}^n \binom nk a^{n-k} b^k[/tex]

Then

[tex]\displaystyle (2q+p)^{21} = \sum_{k=0}^{21} \binom{21}k (2q)^{21-k} p^k = \sum_{k=0}^{21} \binom{21}k 2^{21-k} q^{21-k} p^k[/tex]

We get the q⁴p¹⁷ term when k = 17, and its coefficient would be

[tex]\dbinom{21}{17} 2^{21-17} = \dfrac{21!}{17!(21-17)!} 2^4 = \dfrac{21\cdot20\cdot19\cdot18}{4\cdot3\cdot2\cdot1}\cdot2^4 = \boxed{95,760}[/tex]

Answer:

B. m[tex]\geq 2\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]m\geq \frac{5}{2}[/tex]

Answer:

108

Step-by-step explanation:

A linear pair adds to 180 degrees

<C + <F = 180

3x+ 3x+18 = 180

6x+18 =180

6x+18-18= 180-18

6x =162

6x/6 =162/6

x=27

<F = 3x+18 = 3(27)+18 =81+27 = 108

Answer:

x = 3, y= 5

Step-by-step explanation:

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

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

From (1)

2x - y = 1 ----(3)

From (2)

3x - y = -2 -----(4)

Solving (3) and (4) simultaneously

2x - y = 1

- 3x - y = -2

___________

x = 3

subst. x = 3 in (1)

2(3) - y = 1

6 - y = 1

y = 6-1

y = 5

Hence, x = 3, y = 5

Answer:

Step-by-step explanation:

He should be just fine.

There are 1000 grams in a kilogram.

He has 3410 grams [ 1 kg / 1000 grams ] = 3.410 kg.

He has 3 kg with 0.410 kg left over.

Answer:

2125m or 2km or 125m

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

2125 meters

Step-by-step explanation:

Have a great day!

Answer: 42 I think

Step-by-step explanation:

I did 6 times 7

[tex]-4[/tex] is a part of the solution set to all of the inequalities

We will consider each inequality in turn:

For [tex]x>-5[/tex]:

The solution set is [tex]\{{-4,-3,-2,-1,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]x>-5[/tex]

For [tex]2>x[/tex], or [tex]x<2[/tex]:

The solution set is [tex]\{{1,0-1,-2,-3,-4,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]2>x[/tex]

For [tex]3x+4\ge -8[/tex]:

We have to solve first

[tex]3x+4\ge -8\\3x\ge -8-4\\3x\ge -12\\x\ge -4\\[/tex]

The solution set is [tex]\{{-4,-3,-2,-1,0,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]3x+4\ge -8[/tex]

For [tex]5x\le 2x-3[/tex]:

We have to solve first

[tex]5x\le 2x-3\\5x-2x\le-3\\3x\le-3\\x\le-1[/tex]

The solution set is [tex]\{{-1,-2,-3,-4,-5,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]5x\le 2x-3[/tex]

For [tex]-6<4-2x[/tex]:

We have to solve first

[tex]-6<4-2x\\2x<4+6\\2x<10\\x<5[/tex]

The solution set is [tex]\{{4,3,2,...,-3,-4,-5,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]-6<4-2x[/tex]

So, [tex]-4[/tex] is a part of the solution set of all the inequalities.

Learn more about inequalities here: https://brainly.com/question/278997

Answer:7 deadly sins cursed by light

Step-by-step explanation:

645/2=322.5 cakes on each table

hope this helps!

Step-by-step explanation:

Answer:

a. n=6

b. n = 4

c. n =2

d. n = 11 ÷ 5

e. n = 10

f. 20

Step-by-step explanation:

a. 5n = 30

n=30÷5

n=6

b. 3n-1 = 11

3n= 11 + 1

n = 12 ÷3

n=4

c. 4n + 7 = 15

4n = 15 - 7

n = 8 ÷ 4

n = 2

d. 5n = 11

n = 11 ÷ 5

e. 4 + n = 40

n = 40 - 4

n = 10

f. 5 + 15 = 20