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love history [14]
3 years ago
13

What is the least integer value that satisfies the inequality 2x – 7 ≥ 3?

Mathematics
2 answers:
Nataliya [291]3 years ago
5 0

Answer:

c. 9

Step-by-step explanation:

2^(7 – 7) =1      1≥ 3?   No

2^(8 – 7) =2     2≥ 3?  No

2^(9 – 7) =4     4≥ 3?  Yes

san4es73 [151]3 years ago
3 0

Answer:

C. 9

Step-by-step explanation:

Looking at the graph, we can see the lowest number which lies in the shaded region of the graphed are is 9. Therefore, that is the answer.

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Stells [14]
A good way of doing this problem would be to use cross multiplication of ratios
<u />\frac{10 girls}{18 students} = \frac{X girls}{270 students}

Then cross multiply

(10 girls)(270 students)=(X girls)(18 students)

2700=18x
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4 0
3 years ago
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kirza4 [7]
Suppose the three integers are x, x+2, and x+4
x+x+2+x+4=288
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4 0
3 years ago
Using mathematical induction prove whether or not the following statement is true for all positive integers n, or show why it is
aniked [119]

Base case: For n=1, the left side is 2 and the right is 2\cdot1^2=2, so the base case holds.

Induction hypothesis: Assume the statement is true for n=k, that is

2+6+10+\cdots+4k-2=2k^2

We want to show that this implies truth for n=k+1, that

2+6+10+\cdots+4k-2+4(k+1)-2=2(k+1)^2

The first k terms on the left reduce according to the assumption above, and we can simplify the k+1-th term a bit:

\underbrace{2+6+10+\cdots+4k-2}_{2k^2}+4k+2

2k^2+4k+2=2(k^2+2k+1)=2(k+1)^2

so the statement is true for all n\in\mathbb N.

5 0
3 years ago
If triangle ABC is dilated using a scale factor of 2, what will be the coordinates of A after the transformation
harkovskaia [24]

Answer:

A' = (-4,4)

Step-by-step explanation:

Given

A = (-2,2)    B = (1,3)       C = (1,0)

k =2 --- scale factor

Required

Determine A'

This is calculated as:

A' = A * k

A' = (-2,2) * 2

A' = (-2 * 2,2 * 2)

A' = (-4,4)

8 0
3 years ago
Solve the equation 2x - 3y = 18
Ratling [72]
The answer is  

x=9+ \frac{3}{2} y
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3 years ago
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