HELP ME ASAP Given f(x) = 5x + 2 and g(x) = -x -3, find h(x) = f(x) + g(x).

Answers

Answer 1

Answer:

h(x) = 4x - 1

Step-by-step explanation:

h(x) = f(x) + g(x)

      = 5x + 2 - x - 3 ← collect like terms

       = 4x - 1

Answer 2

Answer:

4x-1

Step-by-step explanation:

h(x)=5x+2+ (-x-3)

h(x) = 5x+2-x-3

h(x)=5x-x+2-3

h(x)=4x-1


Related Questions

what is the next number on the sequence 6,13,20,27?​

Answers

Answer:

34

Step-by-step explanation: goes up in 7's

which ordered pairs is a solution to the equation y=4x-17? (it’s more then one )

Answers

Answer:

(1,-13) (4,-1) (7,11)

Step-by-step explanation:

Those are all the correct order pairs!!

hope this helps!

in which quadrant does (-3, -1.5) and (-3, 8.5) lie?

Answers

Answer:

The first one would be the third one and the second one would be the second one.

Step-by-step explanation:

The first quadrant is a (Positive, Positive), the second one is a (Negative, Positive), the third one is a (Negative, Negative) and the fourth one is a (Positive, Negative)

What is 32 squared root

Answers

Answer: 4√2

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

Try multiplying 4*4*2 = 32. So you would bunch up those two 4's and so it would be the front of the answer. Then you would square root 2 because it is remaining.

~I hope I helped you! :)~

The perimeter of a rectangle is 42 centimeters. The length of the rectangle can be represented by (x+4) and its width can be represented by (2x - 7). What equation would you use to solve for x? *

Answers

Answer:

2(x+4) + 2(2x-7) = 42 ( If this is wrong simplify this)

Step-by-step explanation:

The formula for perimeter is (2 x length) + (2 x width), so our equation would be 2(x+4) + 2(2x-7) = 42

I think the answer would be 42:)

2/9x + 3 > 4 5/9
what graph shows the values that satisfy the expression

Answers

Answer:

Step-by-step explanation:

In graphing inequalities, the first thing to do is graph the equation first irregardless of the inequality symbol. In the given problem, the equation to be graphed is f(x) = 2/9x + 3. Since it has a general form of y=mx + b, this is a linear function. Plot the graph by assigning arbitrary points of x, then you get the corresponding f(x) values. Graph the x values against the f(x) values. The blue line the attached picture will be formed.

Next, you solve the equation by finding x. Just don't mind the inequality symbol:

2/9 x + 3 > 4 5/9

2/9x > 4 5/9 - 3

2/9x > 14/9

x > 14/9 ÷ 2/9

x > 7

Hence, the value of x must be greater than 7. To show this in the graph, find the line where x=7. Create a partition using that line, then shade the rest of the portion where x is greater than 7 until infinity.

What is the result of solving this equation for x?

y−b=m(x−a)

Answers

Answer:

( y-b) / m    +a = x

Step-by-step explanation:

y−b=m(x−a)

Divide each side by m

(y−b)m=m/m(x−a)

( y-b)/m  = x-a

Add a to each side

( y-b) / m +a = x-a+a

( y-b) / m    +a = x

Answer:

y − b = m(x − a)

y − b = mx - ma

(y - b) / m = x - a

((y-b)/m) + a = x

(−2,−3) after a translation right 2 units and up 4 units?

Answers

Answer:

(0,1)

Step-by-step explanation:

moving right 2 units makes it (0,-3)

moving up 4 units makes it (0,1)

Sarah is doing research on the average age of first-year resident physicians. She wants her estimate to be accurate to within 1 year. From past studies, she knows the population standard deviation is 8.265. How many first-year residents must she survey to be 95% confident?

Answers

Answer: The number of first-year residents she must survey to be 95% confident= 263

Step-by-step explanation:

When population standard deviation ([tex]\sigma[/tex])  is known and margin of error(E) is given, then the minimum sample size (n) is given by :-

[tex]n=(\dfrac{z^*\sigma}{E})^2[/tex], z* = Two-tailed critical value for the given confidence interval.

For 95% confidence level , z* = 1.96

As, [tex]\sigma[/tex] = 8.265, E = 1

So, [tex]n= (\dfrac{1.96\times8.265}{1})^2 =(16.1994)^2\\\\= 262.42056036\approx263\ \ \ [\text{Rounded to the next integer}][/tex]

Hence, the number of first-year residents she must survey to be 95% confident= 263

At a sale, the $39.97 original price of the shirt was marked down to $15.99. About
what percent of decrease is this?

Answers

249.96

Step by step solution

39.97x100 divided by 15.99 gives the the answer

Keiko runs 6 miles in 55 minutes. At the same rate, how many miles would she run in 44 minutes?​

Answers

Answer:

4.8 miles

Step-by-step explanation:

Set up a ratio, Kelvin.

 

6/55 = x/44

 

55x = 6(44)

 

55x = 264

 

x = 264/55 = 4.8 miles

Graph the line with slope of 53
5/3 and goes through the point (2,1).

Answers

Answer:

We kindly invite you to see the image attached for further details.

Step-by-step explanation:

From Analytical Geometry we get that linear functions can be found after knowing a point and its slope. The standard form of a linear function is represented by the following formula:

[tex]y =m\cdot x +b[/tex] (Eq. 1)

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]b[/tex] - y-Intercept, dimensionless.

At first we need to calculate the y-Intercept, which is cleared within (Eq. 1):

[tex]b = y-m\cdot x[/tex]

If we know that [tex]y = 1[/tex], [tex]x = 2[/tex] and [tex]m = \frac{5}{3}[/tex], then the y-Intercept of the linear function is:

[tex]b = 1-\left(\frac{5}{3} \right)\cdot (2)[/tex]

[tex]b = -\frac{7}{3}[/tex]

Line with a slope of [tex]\frac{5}{3}[/tex] that goes through the point (2, 1) is represented by [tex]y = \frac{5}{3}\cdot x -\frac{7}{3}[/tex].

Lastly, we graph the line by using a plotting software (i.e. Desmos), whose result is included below as attachment.

What is the value of h in the figure
below?

Answers

Answer:

12

Step-by-step explanation:

according to the pythagorous theorem

Solve the following system using substitution.
6x + 3y= - 12
y= -2x -6
(3,-12)
no solution
infinitely many solutions
(2,0)

Answers

Answer:

No solution

Step-by-step explanation:

if you replace the y with -2x-6 into the first equation, you will get rid of the x's which it gives you the hint that there is no solution.

Evaluate [7] + | - 3|

Answers

Answer:

=[7]+|-3| solve for the absolute value {-3 ->3}

=7+3

=10

Answer:

10

Step-by-step explanation:

Whenever you see those numbers in those specific brackets, it's asking for the absolute value of that number.

The absolute value is the distance from 0.

So, if you see -3 in those brackets, it's 3 because both -3 and 3 are 3 spaces from 0.

So 7 + 3 = 10.

place the following in order least to greatest

square root of 11
square root of 40
6
5​

Answers

Answer:

sqaure root of 11

5

6

square root of 40

Step-by-step explanation:

square root of 11- 3.31

sqaure root of 40- 6.32

6

5

hope this helps :)

(-9.5) to the power of 0

Answers

Whenever it’s to the power of 0 the answer is 1 but idk if it’s negative use photomath

The graph of a function is shown below 8 Which inequality represents the domain of the function?​

Answers

nuts gotten you really thought 10$1

Which one of these is a factor in this equation?

Answers

Answer:

A

Step-by-step explanation:

Because when a expression or number is multiplied by another expression or number it makes a equation

Your rating: 5.0 - Excellent!

Answers

Answer:

0.48

Step-by-step explanation:

Multiply 0.6 and 0.8 to get 0.48.

0.48

PLEASE HELP !!

Which graph shows a constant of proportionality of 2?

Answers

Answer:

Im pretty sure its C

Step-by-step explanation:

Hope you get it right! :)

The constant of proportionality of a line is also referred to as its slope. The graph shows a constant of proportionality of 2 is the Graph C

Constant of proportionality

The constant of proportionality of a line is also referred to as its slope. Hence according to the question, we are to determine the line that has a slope of 2.

The formula for calculating slope of a line is expressed as:

Slope = y2-y1/x2-x1

Using the graph with coordinate points (3, 6) and (1, 2). The slope of the line is expressed as:

Slope = 2-6/1-3
Slope = -4/-2
Slope = 2

Hence the graph shows a constant of proportionality of 2 is the Graph C

Learn more on slope here: https://brainly.com/question/1884491

#SPJ2

Help urgent!!!!!!!!!!!

Answers

Answer:

X= -5x hope this helped :)

Graph the line with slope of 4/3
and goes through the point (1,3)

ANSWER THIS FAST!

Answers

Answer:

Step-by-step explanation:

y=4/3 x +b

goes through the point (1,3)

3=4/3(1)+b

b=3-4/3

b=9-4/3

b=5/3

equation : y=4/3 x +5/3

The graph of the line with slope of 4/3 and goes through the point (1,3) is shown in attached figure.

What is Equation of line?

The equation of line with slope m and passes through the point (x₁, y₁) is given as;

y - y₁ = m (x - x₁)

Given that;

The slope of line = 4/3

And, Point on line = (1, 3)

Since, The equation of line with slope m and passes through the point (x₁, y₁) is given as;

y - y₁ = m (x - x₁)

Thus, The equation of line with slope 4/3 and passes through the point (1, 3) is given as;

y - 3 = 4/3 (x - 1)

Solve as;

3 (y - 3) = 4 (x - 1)

3y - 9 = 4x - 4

3y = 4x - 4 + 9

3y = 4x + 5

y = 4/3x + 5/3

Thus, The equation of line will be;

y = 4/3x + 5/3

So, The graph of the line y = 4/3x + 5/3 is shown in attached figure.

Learn more about the equation of line visit:

https://brainly.com/question/13763238

#SPJ2

Solve
7 1/2 ÷ (4 1/2 - 5 1/8)

Answers

Answer:

-12

Step-by-step explanation:

Answer:

[tex] \frac{71}{2} \div ( \frac{41}{2} - \frac{51}{8} )[/tex]

[tex] \frac{71}{2} \div ( \frac{164 - 51}{8} )[/tex]

[tex] \frac{71}{2} \div \frac{113}{8} [/tex]

[tex] \frac{71}{2} \times \frac{8}{113} [/tex]

[tex] \frac{284}{113} [/tex]

PLSSS HELP ME!!!!! I WILL!!!! MARK!!!!!

Answers

Answer:

23.1

Step-by-step explanation:

(4.2)(11)(0.5)

Richard had his car repaired at a body shop.
The parts cost $100.
The technician charged $52 per hour.
. His total bill was $308.
How many hours did the technician work on Richard's car?

Answers

Answer:

5.9 hours

Step-by-step explanation:

The total cost is 308,
Then you have to subtract the cost of the car parts which is 100
That will give you $208

After that you have to divide 52 from 208, this will give you 4.
Therefore the technician worked on Richards car for 4 hours.

I drive at 55 miles per hour, and my trip will takr 5 hours. Proportional or non proportional

Answers

Answer:

Proportional

Step-by-step explanation:

Here, we want to know if the distance at the given time will be proportional

What we will do here is to simply divide the distance by the time

Mathematically, that will be 55 miles/ 5 hours = 11 miles / hour

So this means that in an hour, 11 miles will be traveled

This expression is proportional

5a+8+(-2a)=-7
I need help with this question especially because of the parenthesis

Answers

Answer:

5a+8+(-2a)=-7

5a+8-2a=-7

5a-2a=-7-8

3a=-15

3a/3=-15/3

a=-5

Answer:

a = -5

Step-by-step explanation:

Simplify both sides:

5a + 8 + (-2a) = -7

(5a + -2a) + 8 = -7

3a + 8 = -7

Start solving for a by subtracting 8 from both sides

3a+8-8 = -7 - 8

3a = -15

Next, divide both sides by 3

3a/3 = 1

-15/3 = -5

a = -5

Carla makes a scale drawing of her garden that is 30 feet long and 24 feet wide. If the garden in her drawing is 20 inches long. What is the width in inches

Answers

Answer:

Sorry you will have to clarify more on the width I do not under stand :/

Step-by-step explanation:

Answer: A=14

Step-by-step explanation: 1 foot = 12 inches so 30 feet = 20 inches which is 30 - 10 so 24 - 10= 14

A laptop computer at Best Buy costs $1250. The sales tax in Virginia is 5.3%. How much will you pay in total for the laptop including tax?

Answers

Answer:

66,25

Step-by-step explanation:

Answer:

$1316.25

Step-by-step explanation:

1250 * 5.3% = 66.25

1250 + 66.25 = 1316.25

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