Given that ƒ(x) = 4x + 5 and g(x) = x2 – 2x – 2, find (ƒ + g)(x). Question 11 options: A) (ƒ + g)(x) = x2 + 6x + 3 B) (ƒ + g)(x) = –x2 + 6x + 7 C) (ƒ + g)(x) = x2 + 2x + 3 D) (ƒ + g)(x) = –x2 + 2x – 7

Answer:

Option 3 (79−3x=12x+19)

Step-by-step explanation:

When replacing x with 4 you will get the answer 67 = 67, which is true! The other three options are not true when replacing x with 4.

Equations 79-3x=12x+19 and x²+3=10x−21 has the solution set {4}.

Given that, the equations that have {4} as its solution set.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

1) Solution of an equation 5 + 2x = 3x + 3 is

3x-2x=5-3

⇒x=2

2) Solution of an equation 7−x=12x is

7−x=12x

⇒12x+x=7

⇒13x=7

⇒x=7/13

3) Solution of an equation 79−3x=12x+19 is

12x+3x=79-19

⇒15x=60

⇒x=4

4) Solution of an equation x²+3=10x−21 is

x²+3=10x−21

⇒ x²-10x+24=0

⇒ x²-6x-4x+24=0

⇒ x(x-6)-4(x-6)=0

⇒ (x-6)(x-4)=0

⇒ x=6 or 4

Therefore, equations 79-3x=12x+19 and x²+3=10x−21 has the solution set {4}.

To learn more about an equation visit:

https://brainly.com/question/14686792.

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Answer:

aaaaaaaaaaaaaaaa

Step-by-step explanation:

Answer:

9.57%

Step-by-step explanation:

7-6.33/7 = 0.00957

0.00957×100% = 9.57%

Answer:

the answer is .6

Step-by-step explanation:

so 30 minus 24 is 6 turn 6 into percentage which is 0.6

Answer:

the answer is .6

Step-by-step explanation:

30- 24=6 turn 6 into percentage which is 0.6

Answer:

3 ft^3

Step-by-step explanation:

Volume = (length)(width)(height)

V = (1)(3)(1)

V = 3

Answer:

Step-by-step explanation:

2700 feet/hour

Answer: \(y = \frac{1}{4} x - 1\)

Step-by-step explanation: In general, know that the equation for a linear graph is \(y = mx + b\), where

In our case,

Answer:

35 degree

Step-by-step explanation:  Because it has equal lines on the other side at the top right.

Answer:

Step-by-step explanation:

angle EBC and angle ABH are both 34 degrees. angle ABE and angle CBH are both 146 degrees.

Answer:

3

Step-by-step explanation:  9

can be expressed in three such ways, 2+3+4

, 4+5

or simply 9

Answer: a surface of which one end or side is at a higher level than another; a rising or falling surface.

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

The ratio would be first year (fy) over second year (sy).

fy/sy

January: 3/5 = 0.6

February: 1.5/4 = 0.375

March: 2.5/7 = 0.3571428

April: 4/6 = 0.666..

April is the largest number. Therefore the month with the highest ratio of snowfall is April

Answer:

C) 100°

Step-by-step explanation:

the angles are actually alternate exterior angles, which means that they're equal.

Answer:

2.25

Step-by-step explanation:

area= length*width

length= 1.5

width= 1.5

1.5*1.5= 2.25

So, the answer is 2.25

Answer:

Step-by-step explanation:

The discriminant of this equation, i.e, D=\(b^{2}-4ac\) is less than 0:

D= 0-(4*2*18)   --> which is clearly negative

When D is less than 0, the equation has no real number solutions.

Therefore, \(2x^{2}+18=0\) has no real roots

Answer:

Step-by-step explanation:

0 has no roots so thats one, and im just trying to complete a challenge so sorry if im wrong :( but make other person brainliest they did good job :)

Answer:

1. 200 inches; 2. 12 feet

Step-by-step explanation:

needed ASAP so i don't want to waste too much time.

Hey there! I'm happy to help!

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PART A

We see that our bowler gets a strike 25% or 1/4 of the time. This means he has a 75% chance of not getting a strike. To find the probability of him getting five strikes, we use multiplication rule, which says that if you multiply the probability of one event by another it equals the probability of both events occurring.

However, this time, we have twenty separate throws, and we have to multiply all of the probabilities of a certain event happening on each roll. This means that we will multiply five 25%s to signify the five strikes and 15 75%s to represent the 15 times he misses and this will give us the probability of this event happening. I will put these in decimal form for now and then convert it back. I will also use exponents so I don't have to write out the entire thing.

P(5 strikes)=0.25^5×0.75^15≈0.000013=0.0013%

The probability of him getting five strikes is 0.0013%.

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PART B

To find the answer, we will first need to find the probability that he makes no strike at all, which will 75% multiplied 20 times.

P(no strike)=0.75^20≈0.003171211938934

We see that the percentage of the bowler getting a strike is 25%, while a miss is 75%. These add up to 100%. If these add up to 100%, then so should to probabilities of making at least one strike and making no strike at all!

100%-0.003171211938934%≈99.999682%

Basically, with twenty throws, he is guaranteed to make at least one strike with a probability of about 99.99%.

I hope that this helps! Have a wonderful day!

Answer: 10/9 would be in frac form then to reduce it would be 1.11111 repeating

Answer:0.607142857

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

3/4 of 801 is approx 600

   3/4 % of 801 would be this answer divided by 100 .... = 6

Answer:

b. 28000 times 400 equals 11200000

c.9000 times 60 equals 540000

d.900 times 600 equals 540000

e. 40000 times 500 equals 20000000

Step-by-step explanation:

Answer:80.25

Step-by-step explanation:

Answer:

12(8+3)

Step-by-step explanation:

12x8=96

12x3=36

Also, 12 is the GCF

Answer: 1. a. 15     b. 11     c. 2     d. 7     e. 5.5

2.  Stem:                   Leaf:

        1                           9

        2                         5, 9

        3                        3, 3, 8

        4                        0, 7, 9

        5                          4, 5

        6                           1, 5

        7                           2, 7

        8                             1

3. a. 13 inches        b. I'm pretty sure that it is the second quarter because there is more snow.           c. The first quarter because it's section is more spread out among the numbers.

Step-by-step explanation:

Hi

The aim of an equation is  to have  the letter on one side and a value to the pther side of the equal sign.  

For achieving this goal, I can use all operation I know and all quantities I want as long as I do it to each side in the same time. I will make apparent operation in bold.

So :  

2r - 5/4 = 58

if I want 2r  to be alone,  I need to get rid  of  -5/4  

The best way to do that is to add  5/4 to each side as  -5/4 + 5/4 = 0

so

2r -5/4 +5/4  = 58 +5/4

2r +0  = 58 +5/4

now we have :  

2r = 58+5/4

I will caculate the value of  58 +5/4

best way to do that is to convert 58 into  a  fraction .  as 58 *4 = 232  so  58 = 232/4

so now  we  have  :

2r = 232/4 +5/4

2r =  237/4

2r = 59.25

Now we have " 2r " , but my  aim is to have only one " r" .  So we  divide by "2" on each side :

2r /2  =  59.25 /2

r =29.625

If I want to check my result, I exchange the letter by the value I found.  

2 ( 29.625 )  - 5/4 =   59.25 - 5/4  =  59.25 - 1.25 =  58

as 58 is  the value given in line one for   2r - 5/4  , so my result is correct.

Answer:

r = 118.5

Explanation:

Given expression:

\(\sf \dfrac{2r-5}{4} = 58\)

Multiply Both sides by 4

\(\sf \dfrac{2r-5}{4} \times 4 = 58\times 4\)

Doing so gives:

\(\sf 2r-5 = 232\)

Add 5 on both sides

\(\sf 2r-5+5 = 232 + 5\)

Simplify following

\(\sf 2r = 237\)

Dividing Both sides by 2

\(\sf r = 118.5\)

Answer:

wedrftgyh

Step-by-step explanation:

I dont have the direct answer but if ou go on google look your question up and it should show on a calculator, If not then just multiply 4/6 five times

Answer:

77.5

Step-by-step explanation:

Given:

Scores: 65, 70, 75, 80, 85, 90, 95

Number of Students: 8, 5, 3, 6, 6, 4, 2

Step 1: Calculate the sum

Sum = (65 * 8) + (70 * 5) + (75 * 3) + (80 * 6) + (85 * 6) + (90 * 4) + (95 * 2)

= 520 + 350 + 225 + 480 + 510 + 360 + 190

= 2635

Step 2: Calculate the mean

Mean = Sum / Total Number of Students

= 2635 / (8 + 5 + 3 + 6 + 6 + 4 + 2)

= 2635 / 34

≈ 77.5

Answer:77.5

Step-by-step explanation:

Hi there, here's your answer:

According to the question, we find 16 out of 20 objects.

To express this in a fraction at its simplest form,

We first write down the fraction.

\(\frac{16}{20}\)  

The HCF of 16 and 20 is 4.

On dividing the numerator and denominator by 4, we get:  \(\frac{4}{5}\)

To express \(\frac{4}{5}\) as a decimal:

Observe the denominator. We know that 5×2 = 10

On multiplying the numerator and denominator by 2, we get \(\frac{8}{10}\)

Which, in decimal form, is 0.8

To express \(\frac{16}{20}\) as a percentage,

We simply multiply the fraction by 100.

\(\frac{16}{20}\) × \(100\) \(= 16\) × \(5 = 80\)%

Therefore, 16 out of 20 in percentage is written as 80%.

Hope it helps!

Answer:

its simple greatest number less that 400 is 399

Answer:

388

Step-by-step explanation:

Definition from Wikipedia

In mathematics, the greatest common divisor (GCD) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers. For two integers x, y, the greatest common divisor of x and y is denoted as gcd(x,y) . For example, the GCD of 8 and 12 is 4, that is, gcd(8,4)=4  (https://en.wikipedia.org/wiki/Greatest_common_divisor)

Methodology to find greatest common denominator(factor) for 2 numbers

Note that even though I have listed all divisors of the higher number, you don't have to compute all divisors. You can stop figuring out the divisors once the larger number is divisible by the number that is higher than 4 but slosest to i. For example, in the case of 396, I would stop computing as soon as I found it is divisible by 6