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mina [271]
3 years ago
13

Suppose we have function defined by : f(x)= -3x+7 what values of x give f(x) =-17?

Mathematics
1 answer:
Leya [2.2K]3 years ago
6 0

Answer:

x = 8

Step-by-step explanation:

if f(x) = -17

then we can type:

- 3 x + 7 = -17

solving for "x", subtract 7 from both sides

- 3 x = - 17 - 7

- 3 x = - 24

divide both sides by -3 to isolate "x"

x = -24 / (-3)

x = 8

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How many triangles and quadrilaterals altogether can be formed using the vertices of a 7-sided regular polygon?
MAVERICK [17]

Answer:  The correct option is

(E) 70.

Step-by-step explanation:  We are given to find the number of  triangles and quadrilaterals altogether that can be formed using the vertices of a 7-sided regular polygon.

To form a triangle, we need any 3 vertices of the 7-sided regular polygon. So, the number of triangles that can be formed is

n_t=^7C_3=\dfrac{7!}{3!(7-3)!}=\dfrac{7\times6\times5\times4!}{3\times2\times1\times4!}=35.

Also, to form a quadrilateral, we need any 4 vertices of the 7-sided regular polygon. So, the number of quadrilateral that can be formed is

n_q=^7C_4=\dfrac{7!}{4!(7-4)!}=\dfrac{7\times6\times5\times4!}{4!\times3\times2\times1}=35.

Therefore, the total number of triangles and quadrilaterals is

n=n_t+n_q=35+35=70.

Thus, option (E) is CORRECT.

8 0
3 years ago
At store A, rulers are sold individually. The cost y of x rulers is represented by the equation y = 0.95x. The costs of rulers a
makkiz [27]

Answer:

The ruler at store A cost more

Step-by-step explanation:

Ruler A=$0.95 per ruler

Ruler B=$0.92 per ruler

6 0
3 years ago
What is one factor of 5x^2+13x-6 with work please.
iren [92.7K]

Answer:

Factor: 5x^2+13x−6

5x^2+13x−6

<u>=(5x−2)(x+3)</u>

<h3><em><u>Brainliest please?</u></em></h3>
6 0
3 years ago
If the relationship is proportional, what is the missing value from the table? x y –3 –1 –12 ? –30 –10 –8 –6 –5 –4
Ann [662]

Answer:

-4

Step-by-step explanation:

I got it wrong and it showed me the answer.

7 0
3 years ago
Read 2 more answers
Need an answer for question 7 HURRY PLEASE 20 POINTS
Andrei [34K]

Answer:

2x^2 = 6x - 5.

-x^2 - 10x = 34.

These have only complex roots/

Step-by-step explanation:

3x^2 - 5x = -8

3x^2 - 5x + 8 = 0

There are complex roots if the discriminant  9b^2 - 4ac) is negative.

Here the discriminant D = (-5)^2 - 4*-5*8 = 25 + 160

This is positive so the roots are real.

2x^2 = 6x - 5

2x^2 - 6x + 5 = 0

D = (-6)^2 - 4*2*5 =  36 - 40 = -4

So this has no real roots only complex ones.

12x = 9x^2 + 4

9x^2 - 12x + 4 = 0

D = (-12)^2 - 4*9 * 4 = 144 - 144 = 0.

- Real roots.

-x^2 - 10x = 34

x^2 + 10x + 34 = 0

D = (10)^2 - 4*1*34 = 100 - 136 = -36.

No real roots = only complex roots.

7 0
3 years ago
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