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kondor19780726 [428]
3 years ago
13

What property is shown in the equation below?

Mathematics
1 answer:
oee [108]3 years ago
4 0
The answer would have to be (b)
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A teacher writes the function f(x)=3x^2-18x+27 on the board. How many times does the graph of the teacher's function intersect t
Oduvanchick [21]

Answer:

Once. at (3,0)

Step-by-step explanation:

It is handy to have a graphing calculator for this kind of question.

Otherwise work it out.

All the terms are multiples of 3, so simplify.3(x^{2} -6x + 9)

then factor (x -3)(x-3)

Set each equal to 0 and solve for x.

x - 3 = 0    x = 3

OH ! they are identical! So there is only One value for x that will produce an output of 0.

So it intersects (touches) only once.

7 0
3 years ago
(a/5) - (b/3) = (a/2) - (b/6), solve for a
Gnom [1K]

Answer:

a =  -  \frac{10}{17} b

Step-by-step explanation:

(a/5) - (b/3) = (a/2) - (b/6)

+(B/3) + (b/3)

NOTE: use property of equality to isolate <em>b</em> from <em>a</em>

(a/5) = (b/3) + (a/2) - (b/6)

-(a/2) - (a/2)

NOTE: continue to use property of equality to isolate <em>a</em><em> </em>from <em>b</em>

(a/5) - (a/2) = (b/3) - (b/6)

60((a/5) - (a/2)) = ((b/3) - (b/6))60

NOTE: 60 is a common multiple of 5, 2, 3, and 6

12a - 30a = 20b - 10b

NOTE: combine alike terms

-17a = 10b

-17a/-17 = 10b/-17

NOTE: decide by -16 to find what a is equal to

a =  -  \frac{10}{17} b

Final answer

5 0
3 years ago
What is the measure of ∠JSM?<br> A) 12° <br> B) 17° <br> C) 23° <br> D) 31°
Artemon [7]

I think it would be “B”

6 0
3 years ago
Read 2 more answers
Consider the following figure:
motikmotik

Answer:

angle <B = 76

Step-by-step explanation:

The measure of an exterior angle is equal to sum of two interior angles that is not adjacent to the exterior angle.

We can write the following equation with this information to find the value of angle <B

<B + 71 = 147 subtract 71 from both sides

<B = 76

5 0
2 years ago
Ralph and Jody go to the store to buy chips and candy bars. Ralph buys 3 bags of potato chips and 4 candy bars for 375 cents. Jo
s2008m [1.1K]
3x+4y = 375
6x+ 4y= 600
-------------------
6x-3x  = 600 - 375

3x=225
x=225:3
x=75 cents

3*x+4y= 375
3*75+4y=375
225 +4y = 375
4y=375-225
4y=150
y=150:4
y=37,5 cents

the price is 75+37,5=112,5 cents for one bag of potato chips and one candy bar

3 0
3 years ago
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