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2 years ago

P(x)=-4x-2 Find p(a-3)

Mathematics

1 answer:

Marta_Voda [28]2 years ago

7 0

Answer : -4a+10

Substitute (a-3) for x
-4(a-3)-2
-4a+12-2
-4a+10 but can also be written as -2(2a-5)

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ZanzabumX [31]

Answer:

To create function h, function f was translated 2 units right , translated 4 units up and reflected across the x axis

Step-by-step explanation:

Given

$f(x) = x^3$

$h(x) =-(x + 2)^3 - 4$

Required

Complete chart

First: f(x) was translated right by 2 units

The rule of right translation is $(x,y) \to (x + 2,y)$

So, we have:

$f'(x) = f(x + 2)$

$f'(x) = (x + 2)^3$

Next: f'(x) was translated up by 4 units

The rule of down translation is $(x,y) \to (x,y+4)$

So, we have:

$f"(x) = f'(x) +4$

$f"(x) = (x + 2)^3 +4$

Lastly, f"(x) was reflected across the x-axis;

The rule of this reflection is: $(x,y) \to (x,-y)$

So, we have:

$h(x) = -f"(x)$

$h(x) = -[(x+2)^3 + 4]$

Remove bracket

$h(x) = -(x+2)^3 - 4$

8 0

2 years ago

What is the distance between the points 4,10 and -3,-14 on the coordinate plane

Kryger [21]

Answer:

Step-by-step explanation:

Here we are supposed to find the distance between two coordinates ( 4,10) and (-3,-14).

Let us do this step by step with detailed explanation.

We will use distance formula in order to find the distance between them. The distance formula is given as

$D=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} }$

Here we have

$x_{2}=-3\\x_{1}=4\\y_{2}=-14\\y_{1}=10\\$

Replacing them in the formula we get

$D=\sqrt{(-3-4)^{2} +(-14-10)^{2} }\\D=\sqrt{(-7)^{2} +(-24)^{2} }\\D=\sqrt{49+ 576 }\\D=\sqrt{625 }\\D=25\\$

Hence our distance is 25 units

8 0

3 years ago

30 pointss!HELP! Two students get into an argument about the correct answer.

Mamont248 [21]

Both Rhianna and Christopher were correct as they took different reference angles.

Step-by-step explanation:

Step 1:

$tan \theta = \frac{opposite side}{adjacentside} .$

The value of the tan of a reference angle is calculated using the above formula.

The hypotenuse is the longest side of the triangle is always opposite the right angle of the triangle.

In this triangle, the hypotenuse is the side measuring 5 units.

Step 2:

When the reference angle is A, the opposite side measures 3 units and the adjacent side measures 4 units.

So $tan A = \frac{3}{4} .$

When the reference angle is C, the opposite side measures 4 units and the adjacent side measures 3 units.

So $tan C = \frac{4}{3} .$

So both Rhianna and Christopher were right as they took different reference angles i.e. A and C.

7 0

3 years ago

Consider the expression 4 5/7 + 3 1/2 write an equivalent expression that has numbers with like denominators. Enter your express

marissa [1.9K]

You can do 4 10/14 + 3 7/14

3 0

2 years ago

5. How many solutions does this system of equations have?

Diano4ka-milaya [45]

Answer:

$\text{\boxed{\sf{D. \ No\ solution}}}$

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

First, you have to substitute of y=-4x-1.

$\Longrightarrow: \sf{[-4x-1=-4x-9]}$

<u>Add by 4x from both sides.</u>

$\Longrightarrow: \sf{-4x-1+4x=-4x-9+4x}$

<u>Solve.</u>

$\Rightarrow:\sf{-1=-9}\\\\\Rightarrow: \sf{(-9)-(-1)=-9+1=-8}\\\\\Rightarrow: \sf{8=0}$

<u>Therefore, the correct answer is "D. No solution".</u>

I hope this helps. Let me know if you have any questions.

8 0

2 years ago