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wlad13 [49]
3 years ago
12

Question 1 (Essay Worth 10 points) (07.01 MC) Part A: Explain why x = 6 makes 4x − 5 ≤ 19 true but not 4x − 5 < 19. (5 points

) Part B: What value from the set {4, 5, 6, 7, 8} makes the equation 4x + 3 = 23 true? Show your work. (5 points)
Mathematics
2 answers:
elena-s [515]3 years ago
5 0
<span>Part 1:
4x − 5 ≤ 19 is true because:
4*6-5=24-5=19 and 19</span><span>≤19

Part 2:
4x+3=23    |-3
4x=23-3
4x=20        |/4
x=20/4
x=5</span>
Artemon [7]3 years ago
5 0

How would you write out part b?

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Which point is in the solution set of the given system of inequalities?
Alecsey [184]

Answer:

C

Step-by-step explanation:

To determine which point is a solution substitute the coordinates into both inequalities and check validity

A (2, 0 )

2 + 0 = 2  ← not greater than 2

(4 × 2) + 0 = 8  > - 1

The point (2, 0) is not a solution as it does not satisfy the first inequality

B (0, 2 )

0 + 2 = 2 ← not greater than 2

0 + 2 = 2 > - 1

The point (0, 2) is not a solution as it does not satisfy the first inequality

C (0, 3 )

0 + 3 = 3 > 2

0 + 3 = 3 > - 1

The point (0, 3) satisfies both inequalities and is therefore a solution

5 0
4 years ago
Read 2 more answers
HELP PLEASEEEE!! First correct answer gets brainliest ! ​
mylen [45]

Answer:

2

Step-by-step explanation:

The slope of a line is rise/run.

First, you must choose any two points on the line.

Rise is how many spaces a line moves upward or downward from one point to another.

The run is how many spaces a line moves left or right from one point to another.

It is given that from point M to point N, the line moves up 4 spaces and runs to the right 2 spaces.

  • 4 = rise
  • 2 = run
  • Slope = 4/2, which can be simplified to 2, because 4 divided by 2 is 2.
5 0
4 years ago
Could i have some quick quick help?
77julia77 [94]

Turn over into vertex form

  • y=-30t²+450t-790
  • y=-30(t²-15x+79/3)

Solving

  • y=-30[(t-15/2)²-359/12]

Open brackets

  • y=-30(t-15/2)²+1795/2

Accurating

  • y=-30(t-7.5)²+897..5

Compare to Vertex form y=a(x-h)²+k

Vertex

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Max profit is $897.5

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3 0
3 years ago
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PLEASE HELP URGENT!!!
Alenkinab [10]

Answer: Choice A

3 over 12 multiplied by 7 over 11

(3/12) * (7/11)

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

Explanation:

There are 3 yellow cars out of 2+7+3 = 12 total. The probability of selecting yellow is therefore 3/12. We can reduce this, but the answer choices decide not to, so we'll do the same.

After picking a yellow car, we have 12-1 = 11 left over. The amount of blue cars do not go down (because we haven't selected it yet). There are 7 blue cars out of the 11 total, so the probability of picking blue for this case is 7/11

Multiply the two fractions to get (3/12)*(7/11) which is a shorthand way of writing "3 over 12 multiplied by 7 over 11".

5 0
3 years ago
Which equation shows ax-w=3 solved for W
IRINA_888 [86]

Answer:

\huge\boxed{w=ax-3}

Step-by-step explanation:

ax-w=3\qquad\text{subtract}\ ax\ \text{from both sides}\\\\ax-ax-w=3-ax\\\\-w=3-ax\qquad\text{change the signs}\\\\w=-3+ax\\\\w=ax-3

6 0
4 years ago
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