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jolli1 [7]
3 years ago
14

For y = 6x + (-2) what is y when x = -1

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
6 0

Answer:

12

Step-by-step explanation:

6(-1)+(-2)

-6(-2)

12

I might be wrong so please forgive me if I am.

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noname [10]

Answer:

<em>f(g(x)) = </em>\frac{x}{7}<em> ; g(f(x)) = 7x - 30</em>

Step-by-step explanation:

6 0
2 years ago
SOMEONE PLZ HELP ME!!!! I WILL GIVE BRAINLIEST!!!
MAXImum [283]

Answer:

Step-by-step explanation:

Let the quadratic equation of the function by the points in the given equation is,

f(x) = ax² + bx + c

If the points lying on the graph are (-3, -10), (-4, -8) and (0, 8),

For (0, 8),

f(0) = a(0)² + b(0) + c

8 = c

For a point (-3, -10),

f(-3) = a(-3)² + b(-3) + 8

-10 = 9a - 3b + 8

9a - 3b = -18

3a - b = -6 --------(1)

For (-4, -8),

f(-4) = a(-4)² + b(-4) + 8

-8 = 16a - 4b + 8

-16 = 16a - 4b

4a - b = -4 ------(2)

Subtract equation (1) from equation (2)

(4a - b) - (3a - b) = -4 + 6

a = 2

From equation (1),

6 - b = -6

b = 12

Function will be,

f(x) = 2x² + 12x + 8

     = 2(x² + 6x) + 8

     = 2(x² + 6x + 9 - 9) + 8

     = 2(x² + 6x + 9) - 18 + 8

     = 2(x + 3)² - 10

By comparing this function with the vertex form of the function,

y = a(x - h)² + k

where (h, k) is the vertex.

Vertex of the function 'f' will be (-3, -10)

And axis of symmetry will be,

x = -3

From the given graph, axis of the symmetry of the function 'g' is; x = -3

Therefore, both the functions will have the same axis of symmetry.

y-intercept of the function 'f' → y = 8 Or (0, 8)

y-intercept of the function 'g' → y = -2 Or (0, -2)

Therefore, y-intercept of 'f' is greater than 'g'

Average rate of change of function 'f' = \frac{f(b)-f(a)}{b-a} in the interval [a, b]

                                                               = \frac{f(-3)-f(-6)}{-3+6}

                                                               = \frac{-10-8}{3}

                                                               = -6

Average rate of change of function 'g' = \frac{g(b)-g(a)}{b-a}

                                                                = \frac{g(-3)-g(-6)}{-3+6}

                                                                = \frac{7+2}{-3+6}

                                                                = 3

Therefore, Average rate of change of function 'f' is less than 'g'.

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3 years ago
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Arisa [49]
You want it to be greater than and equal to 2.  A closed circle means to include 2 so you want a closed circle and to the right is to bigger numbers so you want to the right.  So the answer is b. Number line with closed circle on 2 and shading to the right.
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3 years ago
Within the metric system all units are based on the number
gavmur [86]
<span>We want to know what is the basis of al units in tne metric system. The metric system is a set of decimal-based prefixes that have the effect of multiplication or division by the integer power of ten. Which means that when we have some unit like a meter or a kilogram, to get to the smaller unit we need to divide by the integer power of ten or when we want a greter unit we need to multiply the unit by the integrer power of ten. So the corret answer is D.</span>
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3 years ago
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The down payment is the final payment you make when you are done paying off your loan. true or false?
alina1380 [7]

Answer:

False

Step-by-step explanation:

The downpayment is the first payment you make, an initial deposit.

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2 years ago
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