Given that f (x ) = 5 x - 10 and g (x ) = x = 3 , solve for f (g(x)) when x = -1

Answer:

Step-by-step explanation:

No. of people who took the test = 50

No. of women who took the test = 18

Therefore, no. of men who took the test = 50 - 18 = 32

No. of men who did not pass the test = 1/4 × 32 = 8

No. of men who passed = 32 - 8 =24

The no. of men who passed is 8 more than the no. of women who passed Therefore, the no. of women who passed = 24 - 8 = 16

No. of women who failed = 18 - 16 = 2

Total no. of people who passed = 24 + 16 = 40

Total no. of people that didnt pass = 2 + 8 = 10

Therefore probability that they passed = 50/40 = 1.25

Hope this help : ) . Have a nice day !

Answer:  The probability is  0.8

Step-by-step explanation:

Total who took the test = 50

Women who took the test = 18

50 - 18 = 32  is the number of men

32/4 = 8    men who did not pass

Men who passed = 32 - 8 =24

To find the number of women who passed :  24 - 8 = 16

Total  of people who passed = 24 + 16 = 40

Number who passed out of total people  = 40/50   Converted ro decimal: 0.8

So the probability of randomly selecting a person who passed is 0.8

Answer:

IT IS A..

Step-by-step explanation:

100 % sure

Answer:

Option B.

Step-by-step explanation:

It is given that erza is training for a track race. He starts by sprinting 100 yards. he gradually increases his distance, adding 5 yards a day for 21 days.  So, the required sequence is

100, 105, 110, 115, ...

It is an AP. Here,

First term = 100

Common difference = 5

Explicit formula for an AP is

[tex]a_n=a_1+(n-1)d[/tex]

where, [tex]a_1[/tex] is first term and d is common difference of the AP.

Substitute [tex]a_1=100\text{ and }d=5[/tex] in the above formula.

[tex]a_n=100+(n-1)5[/tex]

Therefore, the required explicit formula is [tex]a_n=100+(n-1)5[/tex].

Hence, option B is correct.

Answer:

A. 4 people

Step-by-step explanation:

Numbers 15, 3, 1, and 21 are all in common with C & D. This is totaled up to 4 people.

Answer: 4

Step-by-step explanation:

edge

Answer:

a = 6, b = 8, and c = 10.

Step-by-step explanation:

You can easily use the Pythagorean Theorem to solve all of these.

a = 4; b = 6; c = 8... 4^2 + 6^2 = 16 + 36 = 52. 8^2 = 64. 52 is not equal to 64, so the first choice is not a right triangle.

a = 6; b = 8; c = 10... Well this is a multiple of the 3-4-5 Pythagorean triple, so this is a right triangle.

a = 5; b = 6; c = 761... 5^2 + 6^2 = 25 + 36 = 61. 761^2 = 579121, which is not equal to 61, so the third choice is not a right triangle.

a = 6; b = 9; c = 12... 6^2 + 9^2 = 36 + 81 = 117. 12^2 = 144, which is not equal to 117, so the fourth choice is not a right triangle.

The only case where there is a right triangle is the second choice, where a = 6, b = 8, and c = 10.

Hope this helps!

Answer: a= 5,b = 6,c = 8 and a=6,b = 8,c = 10

Step-by-step explanation: I found the correct answer on my test so hopefully this help you! :)

Answer:

a = 34

b = 34

c = 36

Step-by-step explanation:

a ; b ; c = consecutive numbers =>

b = a + 1

c = a + 2

a + 2b + c - 7 = 133

a + 2(a + 1) + (a + 2) - 7 = 133

a + 2a + 2 + a + 2 - 7 = 133

4a = 133 + 7 - 4

4a = 136

a = 34

b = 34

c = 36

Answer:

C.

Step-by-step explanation:

The answer to this question is C. I learned this in 6th grade math and when i did i knew how to solve these by seeing the problem closely and using a calculator...for some of these questions you will have to divide or multiply by percentage.

hope this helped look at the comments below i gave u something..

Answer:

A = about 2.2 seconds

B = between 0.2 and 1.7 seconds

Step-by-step explanation:

A .to calculate the time in the air, we have to replache h=0.

h = - 16t + 30t +10

0 = - 16t + 30t +10

For: ax2+ bx + c

x =[ -b ± √b²-4ac] /2a

a=-16 ; b=30 ; c=10

Replacing with the values given:

x =[ -30 ± √(30)²-4(-16)10] /2(-16)

x = [ -30 ± √900 +640] /-32

x = [ -30 ± √1,540] /-32

x = [-30 ± 39.24] /-32

Negative:

x = [-30 -39.24] /-32 = 2.16 seconds = about 2.2 seconds

B. .to calculate this, we have to replache h=15.

15 = - 16t + 30t +10

0 = - 16t + 30t +10-15

0=  - 16t + 30t -5

a=-16 ; b=30 ; c=-5

Applying the quadratic formula again:

x =[ -30 ± √(30)²-4(-16)-5] /2(-16)

x = [ -30 ± √900-320] /-32

x = [ -30 ± √580] /-32

x = [-30 ± 24.08] /-32

Positive:

x = [-30 +24.08] /-32 = 0.18 seconds =0.2 seconds

Negative:

x = [-30 -24.08] /-32 = 1.7seconds

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

Answer:

22 hours

Step-by-step explanation:

Ken saves 90% of his earnings.

So, he must earn

270/x =90/100

90x=270*100

90x=27,000

x=27000/90

=300

x=$300 to save $270

For starting 10hours, Ken earns $8 per hour so he earns total

$8*10 hours=$80

Now, Ken has to earn remaining

$220 at a rate of $10/hour, he must work for at least

$220/$10

=22hours

Answer:6z

Step-by-step explanation:

Question:

(4x - 5y + 3z) + (-4x +5y +3z)

First Step:

Remove parenthesis

4x - 5y + 3z + -4x +5y +3z

Second Step:

Add like terms

4x + -4x = 0

-5y + 5y = 0

3z + 3z = 6z

Final Answer

6z

<!> Brainliest is much Appreciated! <!>

Answer:

6z

Step-by-step explanation:

(4x - 5y + 3z) + (-4x +5y +3z)

Combine like terms

4x - 4x   -5y +5y  +3z+3z

0+0+6z

6z

Answer:

c is right

Step-by-step explanation:

Answer:

multiplication property of equality

Step-by-step explanation:

Since we are multiplying by the same amount on each side, we are using the multiplication property of equality

Answer: Multiplication Property of Equality

Step-by-step explanation:

This property states that while simplifying an expression, you can multiply both sides of the equation by any number, and it will stay true.  This property is useful here, because multiplying a fraction by its reciprocal = 1, so the expression would become 1x=-128.

Hope it helps <3

Answer:

The midpoint is (8,9.5)

Step-by-step explanation:

The midpoint is found by averaging the x coordinates and the y coordinates

x = (x1+x2)/2     y = (y1+y2)/2

x = (13+3)/2 = 16/2 = 8

y = (5+14)/2 = 19/2 = 9.5

The midpoint is (8,9.5)

Answer:

15 cm.

Step-by-step explanation:

It is given that,

Central angle [tex]=\dfrac{7\pi}{10}[/tex]

Arc length = 33 cm

Formula for arc length :

[tex]s=r\theta[/tex]

where, s is arc length, r is radius and [tex]\theta[/tex] is central angle in radian.

Substitute s=33 and [tex]\theta=\dfrac{7\pi}{10}[/tex] in the above formula.

[tex]33=r\left(\dfrac{7\pi}{10}\right)[/tex]

Multiply both sides by 10.

[tex]330=7\pi r[/tex]

Divide both sides by [tex]7\pi[/tex].

[tex]\dfrac{330}{7\pi}= r[/tex]

Put [tex]\pi=3.14[/tex]

[tex]\dfrac{330}{7(3.14)}= r[/tex]

[tex]15.0136= r[/tex]

[tex]r\approx 15[/tex]

Therefore, the radius of the circle is 15 cm.

Answer:

15

Step-by-step explanation:

Answer:

(-8, -2)

Step-by-step explanation:

Combine these equations:  You'll get 2y = -4, so that y = -2.

Substituting -2 for y in the second equation, you'll get -2 + x = -10, or x = -8

Thus the solution is (-8, -2)

Answer:

Step-by-step explanation:

Ok so the beaker is 200 water:800 acid

So she drains 100 from the acid and 100 from the water which equals

100:700

Then she adds 200 water:

300:700

there is 300 mL water in da beaker now

i might got it wrong tho

Answer:

f=4

Step-by-step explanation:

6f = 24

÷6    ÷6

f=4

Answer:

f = 4

Step-by-step explanation:

6f = 24

f = 24/6

f = 4

Answer:

-1/3

Step-by-step explanation:

Slope is defined as "rise over run". If you count out the units, you should be able to see that your rise is 1 and your run is 3 and is pointing downward, so your answer is -1/3.

Alternatively you could use Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

Answer:

[tex] = 6911.5 {cm}^{3} \\ [/tex]

Step-by-step explanation:

[tex]v = \pi {r}^{2} h \\ = \pi \times {10}^{2} \times 22 \\ = 6911.5 {cm}^{3} [/tex]

hope this helps you.

Answer: a) y = f(x - 6)

              b) y = f(x) - 2

Step-by-step explanation:

For transformations we use the following formula: y = a f(x - h) + k

a) f(x) has a vertex at (-1, 1)

    M has a vertex at (5, 1)

    The vertex shifted 6 units to the right  → h = +6

Input h = +6 into the equation and disregard "a" and "k" since those didn't change.     ⇒ y = f(x - 6)

b) f(x) has a vertex at (-1, 1)

    N has a vertex at (-1, -1)

    The vertex shifted down 2 units  → k = -2

Input k = -2 into the equation and disregard "a" and "h" since those didn't change.     ⇒ y = f(x) - 2

Answer:

9) 1/2 (or 1:2, or 50%, or .50, depending on how your teacher wants it.

10) 2/3 (or 2:3, or 66.6%, or 0.66)

Step-by-step explanation:

9) Here are the possibilities of the cards you could pick

KQ, KJ, K10, QJ, Q10, J10

Since there are 6 possibilities and only 3 of them have one face card, the probability is 3/6, or 1/2.

10) It doesn’t matter which card you pick first.  The second card has a 1 in 3 chance of being the same card (whatever it is).  That means you have a 2 in 3 chance of it NOT being the same card.  So the probability is 2/3.

Answer:

2 ≤ x ≤ 5

Step-by-step explanation:

If x = number of days worked

According to the question:

Employees cannot work for more than 5 days per week: that is maximum working days per week is 5 - - - (1)

x ≤ 5 - - - (1)

Employees cannot work for less Than 2 days per week, that is minimum working days per week is 2 days

x ≥ 2 - - - (2)

Combining both conditions (1) and (2) such that the both Inequality sign are the same :

If x ≥ 2 ; then 2 ≤ x

Combining 2 ≤ x and x ≤ 5

We have ;

2 days ≤ x ≤ 5 days

Answer:

[tex]x[/tex] = 12

Step-by-step explanation:

This question is asking what [tex]x[/tex] equals and in order to find the answer, we need to subtract 25 - 13 which equals 12.

Answer:

A

Step-by-step explanation:

The quadrants are numbered from top right in a counter clockwise fashion. Since we know x is positive and y is negative, we can find that it is the fourth quadrant.

Answer:

7

Step-by-step explanation:

If A is 7 units away from the x-axis then the x-axis is seven units away from A.

That's if I read the question right.

Answer:

7

Step-by-step explanation:

Answer:

x = 1 or x = -5

Step-by-step explanation:

Solve for x:

x^3 + 3 x^2 - 9 x + 5 = 0

The left hand side factors into a product with two terms:

(x - 1)^2 (x + 5) = 0

Split into two equations:

(x - 1)^2 = 0 or x + 5 = 0

Take the square root of both sides:

x - 1 = 0 or x + 5 = 0

Add 1 to both sides:

x = 1 or x + 5 = 0

Subtract 5 from both sides:

Answer:  x = 1 or x = -5

Answer:

y = 3x - 5

Step-by-step explanation:

Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

Slope-Intercept Form: y = mx + b

Step 1: Find slope

m = (-2 - 1)/(1 - 2)

m = 3

Step 2: Find b

y = 3x + b

-2 = 3(1) + b

-2 = 3 + b

b = -5

Step 3: Rewrite linear equation

y = 3x - 5

Step 4: Graph using graphing calc

Answer:

A) tan(45°) help us to find the height of the tree because it relates our unknown with a known length (the length of the shadow)

B) tan(45°) = x/35.6

C) x = 35.6 ft

Step-by-step explanation:

B) From definition:

tan(45°) = opposite/adjacent

opposite to angle 45° is x ( the height of the tree), adjacent to angle 45° is the length of the shadow (35.6 ft). Replacing into the equation:

tan(45°) = x/35.6

C) tan(45°) = 1

Then:

1 = x/35.6

35.6 ft = x

#1

As here base is given

We need the height or perpendicular

so tangent is the easiest way to be used

#2(No problem given,may refering to part C)

#3

as sin45=cos45

Put value

Answer:

B) f(x) =(x-8)(x-4)(x-2)(x+1)

Answer:

There you go.

Step-by-step explanation:

Please do tell me if it's wrong.