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4 years ago

HELP NEEDED

1 answer:

3 0

Part A: Find (h + t)(x). Show your work.
h(x) = 5x − 2 and t(x) = 4x + 6
so
(h + t)(x) = 5x − 2 + 4x + 6
(h + t)(x) = 9x +4

Part B: Find (h ⋅ t)(x). Show your work.
h(x) = 5x − 2 and t(x) = 4x + 6
so
(h ⋅ t)(x) = (5x − 2) (4x + 6)
(h ⋅ t)(x) = 20x^2 + 30x - 8x - 12
(h ⋅ t)(x) = 20x^2 + 22x - 12

Part C: Find h[t(x)]. Show your work.
h(x) = 5x − 2 and t(x) = 4x + 6
so
h[t(x)] = 5(4x + 6) − 2
h[t(x)] = 20x + 30 - 2
h[t(x)] = 20x + 28

hope all help.

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Write an equation the describes the line passing through point (-2,8) with slope 4/5

andre [41]

Answer:

point-slope form: $y-8=\frac{4}{5}(x+2)$

Step-by-step explanation:

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2 years ago

Write a rule in function notation for each situation:

algol [13]

Answer:

1. $\bold{S=f(P) = 0.07P}$

2. x = 16

3. Part 1: P is the independent variable and S is the dependent variable.

Part 2: x is the independent variable and y is the dependent variable.

Step-by-step explanation:

1. To write the function notation for:

Sales tax is 7% of the total price.

Let the total price be $P$ .

And sales tax be $S$ .

As per the given statement:

$S = 7\% \ of\ P\\\Rightarrow S =\dfrac{7}{100}P\\\Rightarrow S=0.07P$

Writing it in the function notation:

$\bold{S=f(P) = 0.07P}$

2. To find the value of x such that $f(x) = 14$ and

$f(x) = \dfrac{1}4x + 10$

Putting the value of $f(x) = 14$

$14 = \dfrac{1}4x + 10\\\Rightarrow \dfrac{1}4x =14-10\\\Rightarrow \dfrac{1}4x =4\\\Rightarrow x =4\times 4\\\Rightarrow \bold{x =16}$

3. To find the dependent and independent variable.

Independent variables are those whose value is not dependent on the other variable's values.

Dependent variables are dependent on the value of other variables.

In question 1:

$\bold{S=f(P) = 0.07P}$

P is the independent variable.

S is the dependent variable.

In question 2:

If we write it as follows:

$y=f(x) = \dfrac{1}4x + 10$

x is the independent variable and y is the dependent variable.

5 0

4 years ago

Find the missing length of the triangle. *

Amanda [17]

Answer:

50 ft

Step-by-step explanation:

This is the pythagorean theorem, so you should use the formula...

a squared + b squared = c squared

Then substitute in the numbers... (remember, a and b are the legs, and c is the hypotenuse)

14 squared + 48 squared = c squared

14 squared = 14 x 14 = 196

Now we have 196 + 48 squared = c squared

48 squared = 48 x 48 = 2,304

Now we have 196 + 2,304 = c squared

Add them together - 2,304 + 196 = 2,500

Now we have 2,500 = c squared

We find the square root of 2,500 which is 50

You should now have 50 = c

That is your answer. Don't forget to add units.

50 ft is your hypotenuse (c)

I hoped this helped

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3 years ago

Read 2 more answers

A recipe for 10 servings of raspberry sorbet calls for 2 cups of water, 1/1.2 cups of granulated sugar, and 4 cups of frozen ras

babunello [35]

We know that 16 cups are in 1 gallon
We also know that 10 servings = 2 cups

Now that means 80 servings = 1 gallon
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It is A 4 gallons
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3 years ago

Read 2 more answers

Identify which technique would be best applied to factor the polynomial below. x^2-25 A. difference of two squares B. grouping C

kodGreya [7K]

Since x² and 25 are the squares of x and 5 respectively, the best technique is A. difference of two squares.

$x^2-25=x^2-5^2=(x-5)(x+5)$

5 0

4 years ago