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Sauron [17]
3 years ago
14

Find x, y, and z. Multiple choice answers are below!

Mathematics
1 answer:
labwork [276]3 years ago
7 0

Answer:

<u>The correct answer is B. x ≈ 4.5, y = 5, z = 9</u>

Step-by-step explanation:

1. We will use the Pythagorean theorem for solving for x, this way:

x² = 6² - 4²

x² = 36 - 16

x² = 20

x = √20

x = 2 √5 = 4.47 ≈ 4.5

2. For solving for y, we will do it this way:

There are only two possible options: y = 5, included in answer B or y = 9 as it is defined on answer C.

If we review it carefully, we will realize that y = 9 is not accurate because as we can see in the graph y + 4 = z and in this specific case, 9 + 4 ≠ 5 but it's true that 5 + 4 = 9.

<u>Because of this reason, the correct answer is B. x ≈ 4.5, y = 5, z = 9</u>

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Solve the system of equations:
Molodets [167]
The answer is D.

Y=2x Y=x(2)-3

2=2(1) 2=3(2)-3

2=2 2=6-3

2=2
5 0
2 years ago
Test worth 70 points test score of 90%
diamong [38]
To calculate how many points this person got, take 90% of the total:

0.9(70) = 63

A test score of 90% is 63 points out of 70.
3 0
3 years ago
Read 2 more answers
Compare the two graphs and explain the transformation that was applied to f(x) in order to look exactly like the graph of g(x).
Neporo4naja [7]

The two graphs are represented below.

Answer and Step-by-step explanation: One graph can "transform" into another through changes in the function.

There are 3 ways to change a function:

  1. <u>Shifting</u>: it adds or subtracts a constant to one of the coordinates, thus changing the graph's location. When the <em><u>y-coordinate</u></em> is<em> </em>added or subtract and the x-coordinate is unchanged, there is a <em><u>vertical</u></em> <u><em>shift</em></u>. If it is the <em><u>x-coordinate</u></em> which changes and y-coordinate is kept the same, the shift is a <em><u>horizontal</u></em> <u><em>shift</em></u>;
  2. <u>Scaling</u>: it multiplies or divides one of the coordinates by a constant, thus changing position and appearance of the graph. If the <em>y-coordinate</em> is multiplied or divided by a constant but x-coordinate is the same, it is a <em>vertical scaling</em>. If the <em>x-coordinate</em> is changed by a constant and y-coordinate is not, it is a <em>horizontal</em> <em>scaling</em>;
  3. <u>Reflecting</u>: it's a special case of scaling, where you can multiply a coordinate per its opposite one;

Now, the points for f(x) are:

(-5,0)  (0,6)  (5,-4)  (8,0)

And the points for g(x) are:

(-5,-3)  (0,-9)   (5,1)   (8,-3)

Comparing points:

(-5,0) → (-5,-3)

(0,6) → (0,-9)

(5,-4) → (5,1)

(8,0) → (8,-3)

It can be noted that x-coordinate is kept the same; only y-coordinate is changing so we have a vertical change. Observing the points:

(-5,0-3) → (-5,-3)

(0,6-15) → (0,-9)

(5,-4+5) → (5,1)

(8,0-3) → (8,-3)

Then, the vertical change is a <u>Vertical</u> <u>Shift</u>.

Another observation is that y-coordinate of f(x) is the opposite of g(x). for example: At the second point, y-coordinate of f(x) is 6, while of g(x) is -9. So, this transformation is also a <u>Reflection</u>.

<u>Range</u> <u>of</u> <u>a</u> <u>function</u> is all the values y can assume after substituting the x-values.

<u>Domain</u> <u>of</u> <u>a</u> <u>function</u> is all the values x can assume.

Reflection doesn't change range nor domain of a function. However, vertical or horizontal translations do.

Any vertical translation will change the range of a function and keep domain intact.

Then, for f(x) and g(x):

graph            translation            domain      range

f(x)                       none                 [-5,8]          [-4,6]

g(x)                vertical shift           [-5,8]          [-9,1]

<u>In conclusion, this transformation (or translation) will affect the range of g(x)</u>

5 0
2 years ago
1. 48 c = __qt
Scorpion4ik [409]
Number 1:
We know that 1 quart = 4 cups. That means we need to divide 48 by 4.
What is 48 / 4=12
Number 1 is D
Number 2
We know that oz =0.0625 pounds
Well we multiply 0.0625 by 92 and get 6
Number 2 is B
Number 3
We know that 1 yd = 3 ft
We have to multiply. 3*6=18 But we have to add that one 18+1=19
Number 3 is C
Number 4
We know that 6 pounds = 96 oz from earlier and half of a pound is 8  so that means we do 96+8=104
Number 4 is A

 Hope this really helped!
5 0
2 years ago
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Find the x value of x. If necessary round to the nearest tenth. A=49sq.in.
grigory [225]

Answer:

9.9 ~in  ✔︎

Step-by-step explanation:

A=1/2 ~ base * height

49=1/2(x)(c)

98=x^2

x=\sqrt{98}

x=7\sqrt{2}

x=9.9

༄❁༄❁༄❁༄❁༄

hope it helps...

have a great day!!

4 0
2 years ago
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