if f(x)=2x-1 and g(x)=x^2-3x-2, find (f+g)(x)

Answer:

11) [tex]2x=-4[/tex]

Divide both sides by 2:

[tex]\frac{2x}{2}=\frac{-4}{2}[/tex]

[tex]x=-2[/tex]

12) [tex]2^3\cdot \:2^1=2^{3+1}=2^4[/tex]

([tex]2^4=16)[/tex] if you wanted the exact value.

13) [tex]-3+10=x[/tex]

Switch sides:

[tex]x=-3+10[/tex]

Rearrange:

[tex]x=10-3[/tex]

[tex]x=7[/tex]

14) [tex]10^2-64[/tex]

[tex]10*10-64[/tex]

[tex]100-64[/tex]

[tex]36[/tex]

15) [tex]\sqrt{100}-5^2[/tex]

[tex]10-5^2[/tex]

[tex]10-5*5[/tex]

[tex]10-25[/tex]

[tex]-15[/tex]

16) [tex]\frac{1}{4}x=-10[/tex]

Multiply both sides by 4:

[tex]4\cdot \frac{1}{4}x=4\left(-10\right)[/tex]

[tex]x=-40[/tex]

17) [tex]\left(2^3\right)^2=2^{3*2}=2^6[/tex]

[tex](2^6=64)[/tex] if you wanted the exact value.

18) [tex]\left(2^3\right)\left(2^2\right)=2^{3+2}=2^5[/tex]

[tex](2^5=32)[/tex] if you wanted the exact value.

Bonus Question:

Terrorist attacks took place against the United States in September 11 2001.

This is named "September 11 attacks" and you can search more about it online.

Answer:

10. x = -2

12. 16

13. x = 7

14. 36

15. -15

16.  x = -40

17. 64

18. 32

Friday 9/11 The plane hijackings that struck the World Trade Center, the Pentagon, and a Pennsylvania field killed 2,977 people.

Step-by-step explanation:

Answer:

cooeficients are + 8,20 and 10

terms are x and y

To find the x and y intercepts, we have to plug 0 into x and y respectively.

4(0) + 7y = -84

Simplify.

7y = -84

Divide both sides by 7

y = -12

The y-intercept = (0, -12)

4x + 7(0) = -84

Simplify.

4x = -84

Divide both sides by 4

x = -21

The x-intercept = (-21, 0)

Answer:

18

Step-by-step explanation:

the pattern is adding 4

Answer:

1/9 is the correct answer Hope this helps!!

Step-by-step explanation:

Answer:

1/9 or .111111111111111

Step-by-step explanation:

Answer:

The amount of Interest

Step-by-step explanation:

I'm 98% sure. It make sense because that how much interest ^7 you would multiply by 1250. And I've had questions like this. Hope this helps!

What's the question?

Answer:

9

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Selected = 1000[/tex]

(a): Samples & Population

The samples are the selected data from an overall population.

In this case, the samples are the selected citizens in Seattle, Washington

Since 1000 citizens were selected

[tex]Samples = 1000[/tex]

Also, since the samples were selected from citizens in Seattle, Washington

Then the population are the citizens in Seattle, Washington

(b): Type of Statistics

From the question, we observe that the data was used to conclude that between 55% and 59% of the population would pay higher price.

This type of statistics is referred to as the inferential statistics.

Answer:

f(x)=x

Step-by-step explanation:

that's keeping it simple... ;-)

Answer: x=  

3

500

​  

=166.667

Step-by-step explanation:

This deals with adding, subtracting and finding the least common multiple.

Hey there!

[tex]x+300=500[/tex]

To solve this, we can just do 500 - 300.

[tex]500-300=200\\x=200(ANSWER)[/tex]

Hope this helps!

[tex]-TestedHyperr[/tex]

Answer:

 

Translations

y = f (x) + k up k units

y = f (x) - k down k units

y = f (x + h) left h units

y = f (x - h) right h units

Stretches/Shrinks

y = m·f (x) stretch vertically by a factor of m

y = ·f (x) shrink vertically by a factor of m (stretch by  

y = f (x) stretch horizonally by a factor of n

y = f (nx) shrink horizontally by a factor of n (stretch by )

Reflections

y = - f (x) reflect over x-axis (over line y = 0)

y = f (- x) reflect over y-axis (over line x = 0)

x = f (y) reflect over line y = x

Hope this helps

Step-by-step explanation:

Answer:

each sister receives (7/8) ft of ribbon

Step-by-step explanation:

Let's start by writing the total amount of ribbon in fraction form:

3  1/2  = 3 + (1/2) = (7/2)

Now, we need to perform the division: (7/2) divided by 4

in order to find how much ribbon each sister gets. We convert the division of fractions into a product to make the operation simpler. This is done by using the reciprocal of the number that divides (in our case the reciprocal of "4" which is: (1/4):

(7/2) divided 4 = (7/2) x (1/4)

and we multiply the fractions obtaining:

(7/8)

So, each sister receives (7/8) ft of ribbon

Answer:

4/3=x+10/15

x=4/3 - 10/15

x=4/3 - 2/3

x=4-2/3

x=2/3

Step-by-step explanation:

P(black or yellow) = P(black) + P(yellow) − P(black and yellow)

P(black or yellow) = 1/25 + 1/5 − 0

P(black or yellow) = 6/25

Answer:

combine like terms

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

E(X) = np

E(X) = (15) (0.6)

E(X) = 9

The mean of the X is 9.

The mean of a binomial distribution is the expected value (long-run average) of the number of successes in the given number of trials.

[tex]\mu_{x} = n.p[/tex]

where,

[tex]\mu_{x}[/tex] is the mean of the binomial distribution

n is the number of trials

and, p is the probability of success

According to the given question.

We have

Number of trials, n = 15

Probability of success, p = 0.6

Therefore, the mean of X is given by

[tex]E(X) = 15(0.6)[/tex]

⇒ [tex]E(X) = 9[/tex]

Hence, the mean of the X is 9.

Find out more information about mean of the binomial distribution here:

https://brainly.com/question/15303817

#SPJ3

Answer:

15 pencils

Step-by-step explanation:

18c/3

x/1

cross multiply then divide

Answer:

46 cents

Step-by-step explanation:

18 x 3 = 54

100 - 54 = 46

Answer:

x = -5 , 3

Step-by-step explanation:

(x₁ , y₁) = (-1, -2)    & (x₂, y₂) = (x , 2)

[tex]Distance =\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\\\\sqrt{(x - [-1])^{2}+(2-[-2])^{2}}=2\sqrt{5}\\\\\sqrt{(x+1)^{2}+(2+2)^{2}}=2\sqrt{5}\\\\\sqrt{(x)^{2}+2x+1+(4)^{2}}=2\sqrt{5}\\\\\sqrt{x^{2}+2x+1+4}=2\sqrt{5}\\\\\sqrt{x^{2}+2x+5}=2\sqrt{5}[/tex]

Take square both sides,

x² + 2x + 5 = (2)²(√5)²               {(√5)² = √5*√5 = 5 }

x² + 2x +5 = 4 * 5

x² + 2x + 5 = 20

x² + 2x + 5 - 20 = 0

x² + 2x  -15 = 0

x² + 5x - 3x  - 5*3 = 0

x(x + 5) -3(x + 5)=0

(x + 5)(x - 3) = 0

x + 5 = 0     ; x - 3 = 0

x = -5        ;    x = 3

x = -5 , 3

Answer:

1.5 per hour.

Step-by-step explanation:

By proportion that is 5.4 / 3.6

= 1.5 per hour.

Answer: A(3,-6), B(3,-3), C(4,-3), and D(4,-6)

Step-by-step explanation:

Because the rosegarden reflects across the x-axis, the x-coordinates of the vertices with remain the same. However, the sign of the vertices’ y-coordinations will change. The coordinates of the reflective figure will be A(3,-6), B(3,-3), C(4,-3), and D(4,-6).

*edmentum answer*

Answer:

A positive number or a number that is greater than zero

Step-by-step explanation:

Step-by-step explanation:

10 - 3x = x-4

Collect like terms

10 +4 = x + 3x

14 = 4x

Divide both sides by 4

X = 14

4

= 7

2

= 6 1

2

Or

= 6.5

Answer:

8

Step-by-step explanation:

one third of 24 is 8 and then you have 16 leftover so you divide 16 by 2 and you will get 8

Answer:

the answer is about 50 minutes

Step-by-step explanation:

5 ÷ 6 = .83 which is about 50 minutes so each lesson is about 50mins

Answer:

interest = 250

time = 3 years

rate = 2%

we know

P = I*100/(R*T)

= 250*100/6

=4166.67

Step-by-step explanation:

Answer:

$7.74

Step-by-step explanation:

The school buys 350 books. These books, in total, costed the school $1137.50. The school wants to make a profit of $1500.

For the school to make a profit on its purchase, it needs to earn $1500 more than the price that they paid for the books.

This means that we can add these values together to get the minimum amount that the school needs to earn

[tex]1137.50+1500=2637.50[/tex]

Now that we have the minimum value, we can divide this by 350 in order to find the minimum price for each individual book.

[tex]\frac{2637.50}{350} =7.7357=7.74[/tex]

This means that the school needs to sell these books for at least $7.74

(... This fictional school is selling the books for more than double the price they paid for them...)

Answer:

10

Step-by-step explanation:

Answer:

the sum is 25 not 24?

Step-by-step explanation: