-
If
f(x) = x - 5
and
g(x) = 4x – 2
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Find
f(g(x)) = 4x – [?]
-

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

In the given figure, let the third angle of the triangle be x

From Angle sum property of a triangle, we know that :

so, the third angle will be 50°

and as we can observe here, the third angle of the triangle is equal to (3c + 2)° by vertical opposite angle pair.

so,

hence, value of c = 16°

Answer:

Step-by-step explanation:

The answer is 65 adults and 1 child

We have to multiply enough to get 328

So 5x65=325

1x3=3

In other words

65 times $5 = $325

1 time $3= $3

= The total amount sold of $328

hgjjvbhkml

Step-by-step explanation:

Answer:

Mean 5.3, Median 6, Mode 6, Range 7

Step-by-step explanation:

First we arrange the numbers from smallest to the largest. (When you are done count them to see if you have the same amount of numbers that you had before you arrange them.)

1, 3, 5, 6, 6, 6, 7, 8

Mean: is the average of all the numbers :add all numbers / how many numbers we have

(1+ 3+ 5+ 6+ 6+ 6+ 7+ 8) /8 = 42/8 = 5.25 ≈5.3 (rounded to the nearest tenth)

Median: is average of the 2 numbers that are in the middle 1, 3, 5, 6, 6, 6, 7, 8

(6+6)/2 = 6

Mode: is the number that appears the most so is 6

1, 3, 5, 6, 6, 6, 7, 8

Range: is the difference between the highest and the lowest value

1, 3, 5, 6, 6, 6, 7, 8

8-1 = 7

Answer:

Mean- 42

Median- 6

Mode- 6

Range- 7

Step-by-step explanation:

a. 240 - 144 = 96 Adult males

260 - 129 = 131 Female children

b. 275-225 = 50 more children

c. 225/500 simplifies to 9/20 visitors are adults

d. 240:260

e. 144/500 chance that it is a male child

Okay so for a number 1 they want you to subtract the total from the child or adult. so for males, they want you to subtract 240 from 144. 240 - 144 equals 96 so there are 96 adults in males. moving on to the female we have to find how many children there are so, we have to subtract 260 from 129 which will equal 131. 131 is how many children are females.

For "B" we have to work out how many child visitors there are than adults. Easy we just have to subtract 275 from 225 which will equal 50!

Now for question C, we have to write the adult total in the lowest term what they mean by that is a fraction said to be written using the lowest terms if its numerator and denominator are relatively prime, that is, they have no common factors other than 1. So the lowest term for the adult is 9/4

Now for question D, they want us to make a ratio for the number of males and for the number of females. A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. The ratio for the male is 96:144 (for every 96 adults there are 144 children) The ratio for females is 129:131 (for every 129 female there are 131 children)!

For E it is a probaIlity that there is a 144/500 chance there's a male child! Not much I can explain for E because that's a hard one but that's the answer for E

Answer:

25

Step-by-step explanation:

[tex] \frac{7}{5} = \frac{35}{x} [/tex]

cross multiply

[tex]7x = 175[/tex]

Divide

[tex]175 \div 7 = 25[/tex]

Answer:

x=5

Step-by-step explanation:

Since the two angle are corresponding, they have equal measure

therefore, 22x=110

now that we have produced an equation, solve for the value of x

22x/22 = 110/22

x=5

hope this helps :)

Answer:

22x=110° (corr angles)

x=110÷22

=5

Answer:

(2, 7)

Step-by-step explanation:

[tex]\\ \sf\longmapsto \sqrt{108x^2y^3}-\sqrt{12x^2y^3}+x\sqrt{75y^3}[/tex]

[tex]\\ \sf\longmapsto \sqrt{2\times 2\times 3\times 3\times 3\times x\times x\times y\times y\times y}-\sqrt{2\times 2\times 3\times x\times x\times y\times y\times y}+\sqrt{5\times 5\times 3\times y\times y\times y}[/tex]

[tex]\\ \sf\longmapsto 6\sqrt{3}xy\sqrt{y}-2\sqrt{3}xy\sqrt{y}+5\sqrt{3}xy\sqrt{y}[/tex]

[tex]\\ \sf\longmapsto \sqrt{3}xy\sqrt{y}(6-2+5)[/tex]

[tex]\\ \sf\longmapsto 9\sqrt{3}xy\sqrt{y}[/tex]

Answer:

[tex]{ \rm{ \sqrt{108 {x}^{2} {y}^{3} } - \sqrt{12 {x}^{2} {y}^{3} } + x \sqrt{75 {y}^{3} } }} \\ \\ = { \rm{\sqrt{(36 \times 3) {x}^{2} {y}^{3} } - \sqrt{(4 \times 3) {x}^{2} {y}^{3} } + x \sqrt{(3 \times 25)} {y}^{3} }} \\ \\ = { \rm{ \sqrt{ {x}^{2} {y}^{3} } ( \sqrt{36 \times 3} - \sqrt{4 \times 3} + \sqrt{3 \times 25} }}) \\ \\ { = \rm{x {y}^{ \frac{3}{2} } (6 \sqrt{3} - 2 \sqrt{3} + 5 \sqrt{3} ) }} \\ \\ = { \rm{x {y}^{ \frac{3}{2} } \{(6 - 2 + 5) \sqrt{3} \} }} \\ \\ = { \rm{x {y}^{ \frac{3}{2} } \times 9 \sqrt{3} }} \\ \\ = { \boxed{ \rm{9x \sqrt{3 {y}^{3} } }}}[/tex]

Answer:

x = 5, -5

Step-by-step explanation:

17+x^2=42

-17        -17

x^2 = 25

x = + or - root of 25

x = 5,-5

Answer:

C

Step-by-step explanation:

Area of circle = πr²

Circumference of circle = 2πr

1384.74=πr²

1384.74/π=r²

r=√1384/π=20.9947

2πr=2π(20.9947)=131.88m

Answer:

The answer would be -11

Step-by-step explanation:

The 2 angles in this problem are vertical angles. This means the angles and congruent(=). so 6x+185=8x+207 ----- 2x=-22---------- x=-11

Hope this helps!

9514 1404 393

Answer:

  (b)  3 cups

Step-by-step explanation:

One recipe uses 6 oz of orange juice. Multiplying the quantity by 4 means ...

  4 · 6 oz = 24 oz

of orange juice is needed. There are 8 oz in 1 cup, so this amount is ...

  (24 oz)/(8 oz/cup) = 3 cups

To make quadruple the recipe, 3 cups of orange juice are needed.

Answer:

y = 85

Step-by-step explanation:

120% times y = 102

That's how you write the equation.

Answer: y = -2x - 7

Step-by-step explanation:

The equation for a perpenducular line has a slope that is the negative inverse of the reference line, in this case x - 2y = 6.

Let's put this equation into standard slope-intercept form, y = mx+b, where m is the slope and b the y-intercept (the value of y when x is 0).

x - 2y = 6

- 2y = 6 - x

y = (1/2) x -3

The slope is (1/2), so a perpendicular line will have a slope of -2.

y = -2x + b

We can find b by using the given point ((-3,-1), a known solution):

-1 = -2*(-3) + b

-1 = 6 + b

b = -7

The perpendicular equation is y = -2x - 7

y = -2x

Answer:

$36.8

Step-by-step explanation:

i just calculated it!

32*15% = 4.8

32+4.8= 36.8

Answer:

x= -3

Step-by-step explanation:

The slope is -1 so starting at the y-intercept going backwards, follow the line till you find y=7 and look at the x

Answer:

1) You were right

2) Also correct

3) Again, correct

4) Wrong, the correct answer is 2m + 5 = 25

5) Correct

Step-by-step explanation:

1) Sergio spent a total of 65 dollars at the gas station. He spent 3 dollars per gallon and 7 on snacks.The equation will be:

3g + 7 = 65

2) 226 reduced by ( - ) 3 times your age ( 3a ) is ( = ) 133?

226 - 3a = 133

3) The sum of three consecutive numbers is 72.

n + ( n + 1 ) + ( n + 2 ) = 73

4) It cost 5 plus 2 per mile.The total spent was 25

2m + 5 = 25

5)

1. Read the entire problem.

2. Identify all the important info.

3. Define the variable

4. Write an equation using the important information and the variable

Answer:

C

Step-by-step explanation:

i did it already

Answer:

x = ± 5

Step-by-step explanation:

x² - 25 = 0 ( add 25 to both sides )

x² = 25 ( take square root of both sides )

x = ± [tex]\sqrt{25}[/tex] = ± 5

That is x = - 5, x = 5

Answer:

Coffee Beans to Go is cheaper, selling coffee at $4.75 per pound.

Step-by-step explanation:

The graph is cruddy and hard to see but! when you go to 2 pounds and then up the the cost, it's $9.50. 9.50/2= 4.75. kapeesh??

Answer:

648

Step-by-step explanation:

02 =29283 \y8283 862bh7363 sin tag 2836

Answer:

D)

Step-by-step explanation:

Answer:

x-bar = 75

Step-by-step explanation:

81 + 70+ 65 + 89 + 70 =3 375

375/5 = 75

Answer:

i dont know

Step-by-step explanation:

sorry

Answer:

112 ounces

Step-by-step explanation:

1 pound = 16 ounces

We are converting 7 pounds to ounces

7 × 16 = 112