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Alex17521 [72]
3 years ago
12

Question 3 (open to see pic)

Mathematics
1 answer:
melamori03 [73]3 years ago
8 0
The points (1,-2) and (4,16) are not in the line but the point (-3,-18) is on the line. (Work is shown in the image)

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What is the equations for f(x)?
Wittaler [7]

f(x) = -8\cdot 4^x


You reflect a function with respect to the x axis by changing its sign.


In fact, if you consider the two alternatives


x \mapsto f(x) and x \mapsto -f(x)


you can see that you're choosing opposite outputs for the same inputs.


In other words, one graph will be made of points like (x,f(x)), the other of points like (x,-f(x))


And the transformation


(x,y) \to (x,-y)


is exactly a reflection with respect to the x axis.

6 0
3 years ago
What is the x-value of the solution to the system of equations?
ValentinkaMS [17]

Answer:

The solution to the system of equations is:

x=4,\:y=-3

Step-by-step explanation:

Given the system of equations

5x + 4y =8

2x- 3y = 17

solving the system of equations

\begin{bmatrix}5x+4y=8\\ 2x-3y=17\end{bmatrix}

\mathrm{Multiply\:}5x+4y=8\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:10x+8y=16

\mathrm{Multiply\:}2x-3y=17\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:10x-15y=85

\begin{bmatrix}10x+8y=16\\ 10x-15y=85\end{bmatrix}

10x-15y=85

-

\underline{10x+8y=16}

-23y=69

\begin{bmatrix}10x+8y=16\\ -23y=69\end{bmatrix}

solve for y

-23y=69

Divide both sides by -23

\frac{-23y}{-23}=\frac{69}{-23}

y=-3

\mathrm{For\:}10x+8y=16\mathrm{\:plug\:in\:}y=-3

10x+8\left(-3\right)=16

10x-24=16

10x=40

Divide both sides by 10

\frac{10x}{10}=\frac{40}{10}

x=4

Thus, the solution to the system of equations is:

x=4,\:y=-3

7 0
2 years ago
I really don't get these questions
Mazyrski [523]

Answer:

B

Step-by-step explanation:

280 + 5(–5) + (–42) + 2(75) + (–200)

280 - 25 - 42 + 150 - 200

280 - 67 + 150 - 200

280 - 67 - 50

213 - 50

= $163

3 0
3 years ago
A rectangular prism has a volume of 97.5 cubic inches. The length is 5 inches and the height is 3 inches. What is the width of t
const2013 [10]

Answer:

6.5

Step-by-step explanation:

3X5=15

97.5/ 15 = 6.5

3 0
2 years ago
Find the value of x in the triangle shown below.
DIA [1.3K]

Answer:

x=8

Step-by-step explanation:

We can use the Pythagorean theorem to solve

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

6^2 + x^2 = 10^2

36 + x^2 = 100

Subtract 36 from each side

36-36 +x^2 = 100-36

x^2 = 64

Take the square root of each side

sqrt(x^2) = sqrt(64)

x = 8

7 0
3 years ago
Read 2 more answers
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