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3 years ago

What is the domain of the following function?

Mathematics

1 answer:

Goryan [66]3 years ago

7 0

Answer:

All real numbers

Step-by-step explanation:

The domain of this is all real numbers. The x values will never keep going down (to negative infinity) and will also never stop growing (to positive infinity).

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Find the value of y in the solution to the system of equations shown.<br> y= 12x+7<br> y=-6x+25

padilas [110]

Answer: The required value of y is 19.

Step-by-step explanation: We are given to find the value of y in the solution to the following system of equations :

$y=12x+7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=-6x+25~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

Comparing equations (i) and (ii), we get

$12x+7=-6x+25\\\\\Rightarrow 12x+6x=25-7\\\\\Rightarrow 18x=18\\\\\Rightarrow x=\dfrac{18}{18}\\\\\Rightarrow x=1.$

From equation (i), we get

$y=12\times1+7=12+7=19.$

Thus, the required value of y is 19.

4 0

3 years ago

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As you can tell from the examples of the number lines below, not all number lines change by one unit from mark to mark. Copy the

Charra [1.4K]

don't know

A truck starts from rest and covers 400m distance in 12 seconds. Calculate final velocity and acceleration of the truck.

5 0

3 years ago

Can someone please answer my question please answer it correctly please show work please I need it

lutik1710 [3]

Answer:

3. 60 ÷ 5 = 12

12 × 3 = 36

7 3/5 hours = 7 hours and 36 minutes

7:36 - 30 = 7:06

7:06 - 42 = 6:24

6:24 ÷ 6 = 1:04

A. 1 1/15 hours

4. fractions are equivalent regardless of the negative sign placement

A. 4/-9 = -4/9

5. 3/2 = 12

4/2 = 16

12 × 16 = 192

C. 192 square feet

7. -2.9a + 6.8 + 4.4a - 7.3 (add -2.9a + 4.4a)

1.5a + 6.8 - 7.3 (subtract 6.8 - 7.3)

1.5a - 0.5

D. 1.5a - 0.5

8. 552.50 × 0.88 = 486.2

486.2 ÷ 7 = 69.457

B. m > 69.45

19. -1/6 + 2/3(9 - 3/4) - 1/2

2/3 × 9/1 = 18/3

2/3 × 3/4 = 6/12

-1/6 + 18/3 - 6/12 - 1/2

-1/6 + 36/6 - 6/12 - 1/2

35/6 - 6/12 - 1/2

70/12 - 6/12 - 1/2

64/12 - 1/2

64/12 - 6/12

B. 58/12

4 0

3 years ago

Read 2 more answers

1. A school store sells pencils and erasers before school opens each day. On Monday, 13 pencils and

JulsSmile [24]

Answer:

price of pencil is 0.74 and eraser is 0.72$

Step-by-step explanation:

Let, "p" represent pencils

and "e" represents erasers.

hence, according to question

13p+10e=16.75 ________(1)

and 25p+2e=19.85________(2)

Multiplying equation (2) by 5,

hence, 125p+10e=99.25________(3)

Substracting equation (3) and (1)

125p+10e-(13p+10e)=99.25-16.75

hence, 112p=82.5

p=0.74

substituting the value in equation (1),

13(0.74)+10e=16.75

9.57+10e=16.75

on solving,

e=0.72

hence, price of one pencil is 0.75$, and price of one eraser is $0.72

4 0

3 years ago

Find four consecutive natural numbers if you know that the product of the first two is 38 less than the product of the following

Fynjy0 [20]

<span>Because the four numbers are consecutive, we can call the first one x, and the other three are x+1, x+2, and x+3, respectively. x * (x+1) = (x+2) * (x+3) - 38 x^2 + x = x^2 + 5x +6-38 x^2 + x = x^2 + 5x - 32 -4x = -32 x=8 The four numbers are 8, 9, 10, and 11 check solution: 8*9=10*11-38 72=110-38 72=72</span>

8 0

2 years ago

Read 2 more answers