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

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]

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

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.

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! :)~

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

Answer:

A

Step-by-step explanation:

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

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 :)

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

Answer:

5.9 hours

Step-by-step explanation:

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

Answer:

0.48

Step-by-step explanation:

Multiply 0.6 and 0.8 to get 0.48.

0.48

Answer:

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

Step-by-step explanation:

Those are all the correct order pairs!!

hope this helps!

Answer:

34

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

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.

Answer:

X= -5x hope this helped :)

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.

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

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

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)

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

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

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

Answer:

66,25

Step-by-step explanation:

Answer:

$1316.25

Step-by-step explanation:

1250 * 5.3% = 66.25

1250 + 66.25 = 1316.25

Answer:

23.1

Step-by-step explanation:

(4.2)(11)(0.5)

Answer:

(0,1)

Step-by-step explanation:

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

moving up 4 units makes it (0,1)

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.

Answer:

12

Step-by-step explanation:

according to the pythagorous theorem

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