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Ede4ka [16]
2 years ago
11

.−3(4x + 3) + 4(6x + 1) = 43 What is the solution?

Mathematics
1 answer:
maks197457 [2]2 years ago
6 0

Answer:

  x = 4

Step-by-step explanation:

After you simplify the left side by eliminating parentheses and collecting terms, you have a 2-step linear equation.

  -3(4x +3) +4(6x +1) = 43 . . . . . . given

  -12x -9 +24x +4 = 43 . . . . . eliminate parentheses

  12x-5 = 43 . . . . . . . . . . . collect terms (now a 2-step equation)

  12x = 48 . . . . . . . . . . step 1, add the opposite of the unwanted constant

  x = 4 . . . . . . . . . . . step 2, divide by the coefficient of x

The solution is x = 4.

__

<em>Check</em>

  -3(4·4 +3) +4(6·4 +1) = 43 . . . . substitute for x

  -3(16 +3) +4(24 +1) = 43

  -3(19) +4(25) = 43

  -57 +100 = 43 . . . . . true

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E/4+2f-3 when e=12 and f =1/2
Viktor [21]

Answer:

\frac{e}{4}  + 2f - 3 \\  \frac{12}{4}  + 2 \times  \frac{1}{2}  - 3 \\ 3 +  \frac{2}{2}  - 3 \\ 3 + 1 - 3 \\ 4 - 3 = 1

6 0
4 years ago
If m 2 n, which inequalities must be true? Check all that apply.
anzhelika [568]

Answer:

(a)\ m+ 2.1 > n + 2.1

(b).\ m - (-4) > n - (-4)

(c)\ 9 +m> 6 + n

Step-by-step explanation:

Given

m > n

Required

Select true inequalities

(a)\ m+ 2.1 > n + 2.1

Subtract 2.1 from both sides

m > n

This is true

(b).\ m - (-4) > n - (-4)

Open brackets

m + 4 > n + 4

Subtract 4 from both sides

m > n

(c)\ 9 +m> 6 + n

m> -9+6 + n

m> n-3

This is also true

8 0
3 years ago
Read 2 more answers
If the domain (or pre-image) is (-4, -2), (5, 9), (-6, 2) and the range (or image) is
Neko [114]

Answer:  90 degrees clockwise

This is equivalent to 270 degrees counterclockwise

The rule for either rotation is (x,y) \to (y,-x)

The x and y coordinates swap places, and the new second coordinate flips from positive to negative (or vice versa).

The diagram below shows an example of this for the point (-4,-2) rotating to (-2, 4). The center of the rotation is the origin (0,0).

5 0
2 years ago
I need help. this is due in less than 10 min and i have no clue how to solve. any tips appreciated
babymother [125]

Answers:

  • a) x = 9
  • b) arc JK = 68
  • c) arc MJ = 112
  • d) arc LMK = 248

================================

Explanation:

Arcs JK and KL form a semicircle, so they add to 180 degrees

(arcJK) + (arcKL) = 180

(5x+23) + (17x-41) = 180

22x-18 = 180

22x = 180+18

22x = 198

x = 198/22

x = 9

Then you'll use this x value to find arc JK and arc KL

arc JK = 5x+23 = 5*9+23 = 68

arc KL = 17x - 41 = 17*9-41 = 112

Since central angles MNJ and KNL are vertical angles, this means minor arcs MJ and KL are congruent arcs. So arc MJ is also 112 degrees

Arc LMK is basically nearly everything of the full circle, but we exclude out the portion from L to K (the shorter distance)

arc LMK = (full circle) - (measure of minor arc LK)

arc LMK = 360 - 112

arc LMK = 248

8 0
3 years ago
The slope (b1) represents
Alexandra [31]
Your answer would be 
B. the estimated average change in y per unit change in x
6 0
3 years ago
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